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sigmoid activation function  (MathWorks Inc)


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    Structured Review

    MathWorks Inc sigmoid activation function
    k GPRELM’s overfitting (for a fixed <t>\documentclass[12pt]{minimal}</t> \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\lambda =1$$\end{document} λ = 1 )
    Sigmoid Activation Function, supplied by MathWorks Inc, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
    https://www.bioz.com/product/activation+function+(sigmoidal+function)/pmc09838478-244-9-40
    Average 90 stars, based on 1 article reviews
    sigmoid activation function - by Bioz Stars, 2026-09
    90/100 stars

    Images

    1) Product Images from "A novel correlation Gaussian process regression-based extreme learning machine"

    Article Title: A novel correlation Gaussian process regression-based extreme learning machine

    Journal: Knowledge and Information Systems

    doi: 10.1007/s10115-022-01803-4

    k GPRELM’s overfitting (for a fixed \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\lambda =1$$\end{document} λ = 1 )
    Figure Legend Snippet: k GPRELM’s overfitting (for a fixed \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\lambda =1$$\end{document} λ = 1 )

    Techniques Used:

    Main differences between ELM, k GPRELM, and c GPRELM
    Figure Legend Snippet: Main differences between ELM, k GPRELM, and c GPRELM

    Techniques Used: Transformation Assay

    Predictive performances of k GPRELM ( \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\big ( {L,\sigma _N ,\lambda ^2 }\big )=\big ({190,2^{- 20},2^{-9} }\big )$$\end{document} ( L , σ N , λ 2 ) = ( 190 , 2 - 20 , 2 - 9 ) ) and c GPRELM ( \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\big ( {L,\sigma _N}\big )=\big ({80,2^{- 20}}\big )$$\end{document} ( L , σ N ) = ( 80 , 2 - 20 ) ) on 200 SinC instances
    Figure Legend Snippet: Predictive performances of k GPRELM ( \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\big ( {L,\sigma _N ,\lambda ^2 }\big )=\big ({190,2^{- 20},2^{-9} }\big )$$\end{document} ( L , σ N , λ 2 ) = ( 190 , 2 - 20 , 2 - 9 ) ) and c GPRELM ( \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\big ( {L,\sigma _N}\big )=\big ({80,2^{- 20}}\big )$$\end{document} ( L , σ N ) = ( 80 , 2 - 20 ) ) on 200 SinC instances

    Techniques Used:

    Maximal training accuracies of ELM, k GPRELM, c GPRELM, and ML-ELM and corresponding testing accuracies
    Figure Legend Snippet: Maximal training accuracies of ELM, k GPRELM, c GPRELM, and ML-ELM and corresponding testing accuracies

    Techniques Used:

    Minimal training RMSEs of ELM, k GPRELM, c GPRELM, and ML-ELM and corresponding testing RMSEs
    Figure Legend Snippet: Minimal training RMSEs of ELM, k GPRELM, c GPRELM, and ML-ELM and corresponding testing RMSEs

    Techniques Used:

    Training and testing times of ELM, k GPRELM, c GPRELM, and ML-ELM on 19 classification data sets
    Figure Legend Snippet: Training and testing times of ELM, k GPRELM, c GPRELM, and ML-ELM on 19 classification data sets

    Techniques Used:

    Training and testing times of ELM, k GPRELM, c GPRELM, and ML-ELM on 10 regression data sets
    Figure Legend Snippet: Training and testing times of ELM, k GPRELM, c GPRELM, and ML-ELM on 10 regression data sets

    Techniques Used:

    Ranks of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathrm{{K}}\left( {\mathrm{{H}},\mathrm{{H}}} \right) + \sigma _N^2 \mathrm{{I}}$$\end{document} K H , H + σ N 2 I and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathrm{{C}}\left( {\mathrm{{H}},\mathrm{{H}}} \right) + \sigma _N^2 \mathrm{{I}}$$\end{document} C H , H + σ N 2 I on two representative classification data sets
    Figure Legend Snippet: Ranks of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathrm{{K}}\left( {\mathrm{{H}},\mathrm{{H}}} \right) + \sigma _N^2 \mathrm{{I}}$$\end{document} K H , H + σ N 2 I and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathrm{{C}}\left( {\mathrm{{H}},\mathrm{{H}}} \right) + \sigma _N^2 \mathrm{{I}}$$\end{document} C H , H + σ N 2 I on two representative classification data sets

    Techniques Used:

    Ranks of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathrm{{K}}\left( {\mathrm{{H}},\mathrm{{H}}} \right) + \sigma _N^2 \mathrm{{I}}$$\end{document} K H , H + σ N 2 I and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathrm{{C}}\left( {\mathrm{{H}},\mathrm{{H}}} \right) + \sigma _N^2 \mathrm{{I}}$$\end{document} C H , H + σ N 2 I on two representative regression data sets
    Figure Legend Snippet: Ranks of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathrm{{K}}\left( {\mathrm{{H}},\mathrm{{H}}} \right) + \sigma _N^2 \mathrm{{I}}$$\end{document} K H , H + σ N 2 I and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathrm{{C}}\left( {\mathrm{{H}},\mathrm{{H}}} \right) + \sigma _N^2 \mathrm{{I}}$$\end{document} C H , H + σ N 2 I on two representative regression data sets

    Techniques Used:

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    Article Snippet: The spectral data (from \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\delta$$\end{document} 0.2 to \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\delta$$\end{document} 10) were imported into Matlab software with a resolution of 22K data-points (version R2013b, the Mathworks Inc, Natwick MA) and normalized to the total area after solvent peak removal.

    Article Title: Swarm of lightsail nanosatellites for Solar System exploration
    Article Snippet: The ephemeris of the planets at the departure time are computed by making use of the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{MATLAB}}$$\end{document} MATLAB Interface to the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{SPICE}}$$\end{document} SPICE toolkit at the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{DE440}}$$\end{document} DE440 integration epoch.

    Article Title: An energy-aware optimisation model to minimise energy consumption and carbon footprint in a flexible manufacturing system
    Article Snippet: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathrm{MATLAB}}^{\circledR }$$\end{document} MATLAB ® R2019a solves the WOA algorithm and optimisation model. Hewlett-Packard Notebook PC with Intel Core i5(R) 6200, 2.80 GHz processor with 8 GB,1600 MHz memory, and NVIDIA GeForce940M, 2 GB GPU are used for all experiments.

    Article Title: Optimizing an electromagnetic wave absorber for bi-anisotropic metasurfaces based on toroidal modes
    Article Snippet: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\begin{aligned} \tilde{P}= & {} \omega \Bigg [ \text {Im} \left\{ \alpha _{\textrm{ee}}^{\mathrm {-co}}\right\} -\alpha _{\textrm{em}}^{\mathrm {-co}}\left( \frac{3}{4\eta _0}\right) +\alpha _{\textrm{me}}^{\mathrm {+co}}\left( \frac{d_1k_0}{4}\right) +\alpha _{\textrm{mm}}^{\mathrm {+co}}\left( \frac{d_1k_0}{4\eta _0}\right) +\alpha _{\textrm{me}}^{\mathrm {-co}} \left( \frac{3}{4\eta _0}\right) +\alpha _{\textrm{ee}}^{\mathrm {+co}}\left( \frac{d_2k_0}{4\eta _0}\right) \nonumber \\{} & {} \qquad +\alpha _{\textrm{em}}^{\mathrm {+co}}\left( \frac{d_2k_0}{4\eta _0^2}\right) \Bigg ] \end{aligned}$$\end{document} P ~ = ω [ Im α ee - co - α em - co 3 4 η 0 + α me + co d 1 k 0 4 + α mm + co d 1 k 0 4 η 0 + α me - co 3 4 η 0 + α ee + co d 2 k 0 4 η 0 + α em + co d 2 k 0 4 η 0 2 ] The variable \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\tilde{P}$$\end{document} P ~ can be modeled in MATLAB software for different values of n , where n relates the length of the first chiral element in the unit cell design to a specific wavelength \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\lambda$$\end{document} λ according to Eq. ( ).

    Article Title: Numerical study of magneto convective ag (silver) graphene oxide (GO) hybrid nanofluid in a square enclosure with hot and cold slits and internal heat generation/absorption
    Article Snippet: Numerical modelling is implemented, by changing Richardson number \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\:\left(Ri\right)$$\end{document} , The results are located graphically using MATLAB software.

    Article Title: A nontraditional method for reducing thermoelastic stresses of variable thickness rotating discs
    Article Snippet: A finite element (FE) algorithm is built by the authors through the MATLAB software to solve for \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbf{X}} = \left\{ {\begin{array}{*{20}c} {\mathbf{U}} & {\mathbf{T}} \\ \end{array} } \right\}$$\end{document} X = U T , where \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbf{U}} = \left\{ {\begin{array}{*{20}c} u & \vartheta \\ \end{array} } \right\}$$\end{document} U = u θ .

    Article Title: A novel malaria mathematical model: integrating vector and non-vector transmission pathways
    Article Snippet: Using MATLAB Software, the numerical simulation of the malaria model was performed with the following initial values; \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$S_{H} = 800,\,\,V_{H} = 50,E_{H1} = 30,E_{H2} = 20,\,\,I_{H} = 15,\,\,T_{H} = 10,\,\,R_{H} = 5,\,\,S_{M} = 5,\,E_{M} = 5\,and\,\,\,I_{M} = 5.$$\end{document} S H = 800 , V H = 50 , E H 1 = 30 , E H 2 = 20 , I H = 15 , T H = 10 , R H = 5 , S M = 5 , E M = 5 a n d I M = 5 .

    Solvent:

    Article Title: Finite element analysis of the interaction between high-compliant balloon catheters and non-cylindrical vessel structures: towards tactile sensing balloon catheters
    Article Snippet: Together with the preceding boundary conditions for the fibre alignment angle (45°) in the unstretched state, the parameters \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${k}_{1}, { k}_{2}, c$$\end{document} k 1 , k 2 , c for the dense inner layer (subscript \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$d$$\end{document} d ) and the softer outer layer (subscript \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$l$$\end{document} l ) can be identified based on the error function (Eq. ( )) with the help of the nonlinear ‘fmincon’ function in MATLAB® \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\text{Error function} = \mathop \sum \limits_{i = 0}^{10} (P_{mod\left( i \right)} \left( {c, k_{1} , k_{2} ,\beta } \right) - P_{input\left( i \right)} )^{2}$$\end{document} Error function = ∑ i = 0 10 ( P m o d i c , k 1 , k 2 , β - P i n p u t i ) 2 where \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${P}_{input(i)}$$\end{document} P i n p u t ( i ) are the pressures within the lumen, considered here from 0 to 10 kPa in 1 kPa steps.

    Article Title: Bayesian semiparametric inference in longitudinal metabolomics data
    Article Snippet: The spectral data (from \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\delta$$\end{document} 0.2 to \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\delta$$\end{document} 10) were imported into Matlab software with a resolution of 22K data-points (version R2013b, the Mathworks Inc, Natwick MA) and normalized to the total area after solvent peak removal.

    Article Title: Swarm of lightsail nanosatellites for Solar System exploration
    Article Snippet: The ephemeris of the planets at the departure time are computed by making use of the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{MATLAB}}$$\end{document} MATLAB Interface to the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{SPICE}}$$\end{document} SPICE toolkit at the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{DE440}}$$\end{document} DE440 integration epoch.

    Article Title: An energy-aware optimisation model to minimise energy consumption and carbon footprint in a flexible manufacturing system
    Article Snippet: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathrm{MATLAB}}^{\circledR }$$\end{document} MATLAB ® R2019a solves the WOA algorithm and optimisation model. Hewlett-Packard Notebook PC with Intel Core i5(R) 6200, 2.80 GHz processor with 8 GB,1600 MHz memory, and NVIDIA GeForce940M, 2 GB GPU are used for all experiments.

    Article Title: Optimizing an electromagnetic wave absorber for bi-anisotropic metasurfaces based on toroidal modes
    Article Snippet: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\begin{aligned} \tilde{P}= & {} \omega \Bigg [ \text {Im} \left\{ \alpha _{\textrm{ee}}^{\mathrm {-co}}\right\} -\alpha _{\textrm{em}}^{\mathrm {-co}}\left( \frac{3}{4\eta _0}\right) +\alpha _{\textrm{me}}^{\mathrm {+co}}\left( \frac{d_1k_0}{4}\right) +\alpha _{\textrm{mm}}^{\mathrm {+co}}\left( \frac{d_1k_0}{4\eta _0}\right) +\alpha _{\textrm{me}}^{\mathrm {-co}} \left( \frac{3}{4\eta _0}\right) +\alpha _{\textrm{ee}}^{\mathrm {+co}}\left( \frac{d_2k_0}{4\eta _0}\right) \nonumber \\{} & {} \qquad +\alpha _{\textrm{em}}^{\mathrm {+co}}\left( \frac{d_2k_0}{4\eta _0^2}\right) \Bigg ] \end{aligned}$$\end{document} P ~ = ω [ Im α ee - co - α em - co 3 4 η 0 + α me + co d 1 k 0 4 + α mm + co d 1 k 0 4 η 0 + α me - co 3 4 η 0 + α ee + co d 2 k 0 4 η 0 + α em + co d 2 k 0 4 η 0 2 ] The variable \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\tilde{P}$$\end{document} P ~ can be modeled in MATLAB software for different values of n , where n relates the length of the first chiral element in the unit cell design to a specific wavelength \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\lambda$$\end{document} λ according to Eq. ( ).

    Article Title: Numerical study of magneto convective ag (silver) graphene oxide (GO) hybrid nanofluid in a square enclosure with hot and cold slits and internal heat generation/absorption
    Article Snippet: Numerical modelling is implemented, by changing Richardson number \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\:\left(Ri\right)$$\end{document} , The results are located graphically using MATLAB software.

    Article Title: A nontraditional method for reducing thermoelastic stresses of variable thickness rotating discs
    Article Snippet: A finite element (FE) algorithm is built by the authors through the MATLAB software to solve for \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbf{X}} = \left\{ {\begin{array}{*{20}c} {\mathbf{U}} & {\mathbf{T}} \\ \end{array} } \right\}$$\end{document} X = U T , where \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbf{U}} = \left\{ {\begin{array}{*{20}c} u & \vartheta \\ \end{array} } \right\}$$\end{document} U = u θ .

    Article Title: A novel malaria mathematical model: integrating vector and non-vector transmission pathways
    Article Snippet: Using MATLAB Software, the numerical simulation of the malaria model was performed with the following initial values; \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$S_{H} = 800,\,\,V_{H} = 50,E_{H1} = 30,E_{H2} = 20,\,\,I_{H} = 15,\,\,T_{H} = 10,\,\,R_{H} = 5,\,\,S_{M} = 5,\,E_{M} = 5\,and\,\,\,I_{M} = 5.$$\end{document} S H = 800 , V H = 50 , E H 1 = 30 , E H 2 = 20 , I H = 15 , T H = 10 , R H = 5 , S M = 5 , E M = 5 a n d I M = 5 .

    Clinical Proteomics:

    Article Title: Finite element analysis of the interaction between high-compliant balloon catheters and non-cylindrical vessel structures: towards tactile sensing balloon catheters
    Article Snippet: Together with the preceding boundary conditions for the fibre alignment angle (45°) in the unstretched state, the parameters \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${k}_{1}, { k}_{2}, c$$\end{document} k 1 , k 2 , c for the dense inner layer (subscript \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$d$$\end{document} d ) and the softer outer layer (subscript \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$l$$\end{document} l ) can be identified based on the error function (Eq. ( )) with the help of the nonlinear ‘fmincon’ function in MATLAB® \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\text{Error function} = \mathop \sum \limits_{i = 0}^{10} (P_{mod\left( i \right)} \left( {c, k_{1} , k_{2} ,\beta } \right) - P_{input\left( i \right)} )^{2}$$\end{document} Error function = ∑ i = 0 10 ( P m o d i c , k 1 , k 2 , β - P i n p u t i ) 2 where \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${P}_{input(i)}$$\end{document} P i n p u t ( i ) are the pressures within the lumen, considered here from 0 to 10 kPa in 1 kPa steps.

    Article Title: Bayesian semiparametric inference in longitudinal metabolomics data
    Article Snippet: The spectral data (from \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\delta$$\end{document} 0.2 to \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\delta$$\end{document} 10) were imported into Matlab software with a resolution of 22K data-points (version R2013b, the Mathworks Inc, Natwick MA) and normalized to the total area after solvent peak removal.

    Article Title: Swarm of lightsail nanosatellites for Solar System exploration
    Article Snippet: The ephemeris of the planets at the departure time are computed by making use of the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{MATLAB}}$$\end{document} MATLAB Interface to the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{SPICE}}$$\end{document} SPICE toolkit at the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{DE440}}$$\end{document} DE440 integration epoch.

    Article Title: An energy-aware optimisation model to minimise energy consumption and carbon footprint in a flexible manufacturing system
    Article Snippet: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathrm{MATLAB}}^{\circledR }$$\end{document} MATLAB ® R2019a solves the WOA algorithm and optimisation model. Hewlett-Packard Notebook PC with Intel Core i5(R) 6200, 2.80 GHz processor with 8 GB,1600 MHz memory, and NVIDIA GeForce940M, 2 GB GPU are used for all experiments.

    Article Title: Optimizing an electromagnetic wave absorber for bi-anisotropic metasurfaces based on toroidal modes
    Article Snippet: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\begin{aligned} \tilde{P}= & {} \omega \Bigg [ \text {Im} \left\{ \alpha _{\textrm{ee}}^{\mathrm {-co}}\right\} -\alpha _{\textrm{em}}^{\mathrm {-co}}\left( \frac{3}{4\eta _0}\right) +\alpha _{\textrm{me}}^{\mathrm {+co}}\left( \frac{d_1k_0}{4}\right) +\alpha _{\textrm{mm}}^{\mathrm {+co}}\left( \frac{d_1k_0}{4\eta _0}\right) +\alpha _{\textrm{me}}^{\mathrm {-co}} \left( \frac{3}{4\eta _0}\right) +\alpha _{\textrm{ee}}^{\mathrm {+co}}\left( \frac{d_2k_0}{4\eta _0}\right) \nonumber \\{} & {} \qquad +\alpha _{\textrm{em}}^{\mathrm {+co}}\left( \frac{d_2k_0}{4\eta _0^2}\right) \Bigg ] \end{aligned}$$\end{document} P ~ = ω [ Im α ee - co - α em - co 3 4 η 0 + α me + co d 1 k 0 4 + α mm + co d 1 k 0 4 η 0 + α me - co 3 4 η 0 + α ee + co d 2 k 0 4 η 0 + α em + co d 2 k 0 4 η 0 2 ] The variable \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\tilde{P}$$\end{document} P ~ can be modeled in MATLAB software for different values of n , where n relates the length of the first chiral element in the unit cell design to a specific wavelength \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\lambda$$\end{document} λ according to Eq. ( ).

    Article Title: Numerical study of magneto convective ag (silver) graphene oxide (GO) hybrid nanofluid in a square enclosure with hot and cold slits and internal heat generation/absorption
    Article Snippet: Numerical modelling is implemented, by changing Richardson number \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\:\left(Ri\right)$$\end{document} , The results are located graphically using MATLAB software.

    Article Title: A nontraditional method for reducing thermoelastic stresses of variable thickness rotating discs
    Article Snippet: A finite element (FE) algorithm is built by the authors through the MATLAB software to solve for \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbf{X}} = \left\{ {\begin{array}{*{20}c} {\mathbf{U}} & {\mathbf{T}} \\ \end{array} } \right\}$$\end{document} X = U T , where \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbf{U}} = \left\{ {\begin{array}{*{20}c} u & \vartheta \\ \end{array} } \right\}$$\end{document} U = u θ .

    Article Title: A novel malaria mathematical model: integrating vector and non-vector transmission pathways
    Article Snippet: Using MATLAB Software, the numerical simulation of the malaria model was performed with the following initial values; \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$S_{H} = 800,\,\,V_{H} = 50,E_{H1} = 30,E_{H2} = 20,\,\,I_{H} = 15,\,\,T_{H} = 10,\,\,R_{H} = 5,\,\,S_{M} = 5,\,E_{M} = 5\,and\,\,\,I_{M} = 5.$$\end{document} S H = 800 , V H = 50 , E H 1 = 30 , E H 2 = 20 , I H = 15 , T H = 10 , R H = 5 , S M = 5 , E M = 5 a n d I M = 5 .

    Cell Function Assay:

    Article Title: Finite element analysis of the interaction between high-compliant balloon catheters and non-cylindrical vessel structures: towards tactile sensing balloon catheters
    Article Snippet: Together with the preceding boundary conditions for the fibre alignment angle (45°) in the unstretched state, the parameters \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${k}_{1}, { k}_{2}, c$$\end{document} k 1 , k 2 , c for the dense inner layer (subscript \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$d$$\end{document} d ) and the softer outer layer (subscript \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$l$$\end{document} l ) can be identified based on the error function (Eq. ( )) with the help of the nonlinear ‘fmincon’ function in MATLAB® \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\text{Error function} = \mathop \sum \limits_{i = 0}^{10} (P_{mod\left( i \right)} \left( {c, k_{1} , k_{2} ,\beta } \right) - P_{input\left( i \right)} )^{2}$$\end{document} Error function = ∑ i = 0 10 ( P m o d i c , k 1 , k 2 , β - P i n p u t i ) 2 where \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${P}_{input(i)}$$\end{document} P i n p u t ( i ) are the pressures within the lumen, considered here from 0 to 10 kPa in 1 kPa steps.

    Article Title: Bayesian semiparametric inference in longitudinal metabolomics data
    Article Snippet: The spectral data (from \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\delta$$\end{document} 0.2 to \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\delta$$\end{document} 10) were imported into Matlab software with a resolution of 22K data-points (version R2013b, the Mathworks Inc, Natwick MA) and normalized to the total area after solvent peak removal.

    Article Title: Swarm of lightsail nanosatellites for Solar System exploration
    Article Snippet: The ephemeris of the planets at the departure time are computed by making use of the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{MATLAB}}$$\end{document} MATLAB Interface to the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{SPICE}}$$\end{document} SPICE toolkit at the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{DE440}}$$\end{document} DE440 integration epoch.

    Article Title: An energy-aware optimisation model to minimise energy consumption and carbon footprint in a flexible manufacturing system
    Article Snippet: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathrm{MATLAB}}^{\circledR }$$\end{document} MATLAB ® R2019a solves the WOA algorithm and optimisation model. Hewlett-Packard Notebook PC with Intel Core i5(R) 6200, 2.80 GHz processor with 8 GB,1600 MHz memory, and NVIDIA GeForce940M, 2 GB GPU are used for all experiments.

    Article Title: Optimizing an electromagnetic wave absorber for bi-anisotropic metasurfaces based on toroidal modes
    Article Snippet: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\begin{aligned} \tilde{P}= & {} \omega \Bigg [ \text {Im} \left\{ \alpha _{\textrm{ee}}^{\mathrm {-co}}\right\} -\alpha _{\textrm{em}}^{\mathrm {-co}}\left( \frac{3}{4\eta _0}\right) +\alpha _{\textrm{me}}^{\mathrm {+co}}\left( \frac{d_1k_0}{4}\right) +\alpha _{\textrm{mm}}^{\mathrm {+co}}\left( \frac{d_1k_0}{4\eta _0}\right) +\alpha _{\textrm{me}}^{\mathrm {-co}} \left( \frac{3}{4\eta _0}\right) +\alpha _{\textrm{ee}}^{\mathrm {+co}}\left( \frac{d_2k_0}{4\eta _0}\right) \nonumber \\{} & {} \qquad +\alpha _{\textrm{em}}^{\mathrm {+co}}\left( \frac{d_2k_0}{4\eta _0^2}\right) \Bigg ] \end{aligned}$$\end{document} P ~ = ω [ Im α ee - co - α em - co 3 4 η 0 + α me + co d 1 k 0 4 + α mm + co d 1 k 0 4 η 0 + α me - co 3 4 η 0 + α ee + co d 2 k 0 4 η 0 + α em + co d 2 k 0 4 η 0 2 ] The variable \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\tilde{P}$$\end{document} P ~ can be modeled in MATLAB software for different values of n , where n relates the length of the first chiral element in the unit cell design to a specific wavelength \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\lambda$$\end{document} λ according to Eq. ( ).

    Article Title: Numerical study of magneto convective ag (silver) graphene oxide (GO) hybrid nanofluid in a square enclosure with hot and cold slits and internal heat generation/absorption
    Article Snippet: Numerical modelling is implemented, by changing Richardson number \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\:\left(Ri\right)$$\end{document} , The results are located graphically using MATLAB software.

    Article Title: A nontraditional method for reducing thermoelastic stresses of variable thickness rotating discs
    Article Snippet: A finite element (FE) algorithm is built by the authors through the MATLAB software to solve for \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbf{X}} = \left\{ {\begin{array}{*{20}c} {\mathbf{U}} & {\mathbf{T}} \\ \end{array} } \right\}$$\end{document} X = U T , where \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbf{U}} = \left\{ {\begin{array}{*{20}c} u & \vartheta \\ \end{array} } \right\}$$\end{document} U = u θ .

    Article Title: A novel malaria mathematical model: integrating vector and non-vector transmission pathways
    Article Snippet: Using MATLAB Software, the numerical simulation of the malaria model was performed with the following initial values; \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$S_{H} = 800,\,\,V_{H} = 50,E_{H1} = 30,E_{H2} = 20,\,\,I_{H} = 15,\,\,T_{H} = 10,\,\,R_{H} = 5,\,\,S_{M} = 5,\,E_{M} = 5\,and\,\,\,I_{M} = 5.$$\end{document} S H = 800 , V H = 50 , E H 1 = 30 , E H 2 = 20 , I H = 15 , T H = 10 , R H = 5 , S M = 5 , E M = 5 a n d I M = 5 .

    Activity Assay:

    Article Title: Finite element analysis of the interaction between high-compliant balloon catheters and non-cylindrical vessel structures: towards tactile sensing balloon catheters
    Article Snippet: Together with the preceding boundary conditions for the fibre alignment angle (45°) in the unstretched state, the parameters \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${k}_{1}, { k}_{2}, c$$\end{document} k 1 , k 2 , c for the dense inner layer (subscript \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$d$$\end{document} d ) and the softer outer layer (subscript \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$l$$\end{document} l ) can be identified based on the error function (Eq. ( )) with the help of the nonlinear ‘fmincon’ function in MATLAB® \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\text{Error function} = \mathop \sum \limits_{i = 0}^{10} (P_{mod\left( i \right)} \left( {c, k_{1} , k_{2} ,\beta } \right) - P_{input\left( i \right)} )^{2}$$\end{document} Error function = ∑ i = 0 10 ( P m o d i c , k 1 , k 2 , β - P i n p u t i ) 2 where \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${P}_{input(i)}$$\end{document} P i n p u t ( i ) are the pressures within the lumen, considered here from 0 to 10 kPa in 1 kPa steps.

    Article Title: Bayesian semiparametric inference in longitudinal metabolomics data
    Article Snippet: The spectral data (from \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\delta$$\end{document} 0.2 to \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\delta$$\end{document} 10) were imported into Matlab software with a resolution of 22K data-points (version R2013b, the Mathworks Inc, Natwick MA) and normalized to the total area after solvent peak removal.

    Article Title: Swarm of lightsail nanosatellites for Solar System exploration
    Article Snippet: The ephemeris of the planets at the departure time are computed by making use of the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{MATLAB}}$$\end{document} MATLAB Interface to the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{SPICE}}$$\end{document} SPICE toolkit at the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{DE440}}$$\end{document} DE440 integration epoch.

    Article Title: An energy-aware optimisation model to minimise energy consumption and carbon footprint in a flexible manufacturing system
    Article Snippet: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathrm{MATLAB}}^{\circledR }$$\end{document} MATLAB ® R2019a solves the WOA algorithm and optimisation model. Hewlett-Packard Notebook PC with Intel Core i5(R) 6200, 2.80 GHz processor with 8 GB,1600 MHz memory, and NVIDIA GeForce940M, 2 GB GPU are used for all experiments.

    Article Title: Optimizing an electromagnetic wave absorber for bi-anisotropic metasurfaces based on toroidal modes
    Article Snippet: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\begin{aligned} \tilde{P}= & {} \omega \Bigg [ \text {Im} \left\{ \alpha _{\textrm{ee}}^{\mathrm {-co}}\right\} -\alpha _{\textrm{em}}^{\mathrm {-co}}\left( \frac{3}{4\eta _0}\right) +\alpha _{\textrm{me}}^{\mathrm {+co}}\left( \frac{d_1k_0}{4}\right) +\alpha _{\textrm{mm}}^{\mathrm {+co}}\left( \frac{d_1k_0}{4\eta _0}\right) +\alpha _{\textrm{me}}^{\mathrm {-co}} \left( \frac{3}{4\eta _0}\right) +\alpha _{\textrm{ee}}^{\mathrm {+co}}\left( \frac{d_2k_0}{4\eta _0}\right) \nonumber \\{} & {} \qquad +\alpha _{\textrm{em}}^{\mathrm {+co}}\left( \frac{d_2k_0}{4\eta _0^2}\right) \Bigg ] \end{aligned}$$\end{document} P ~ = ω [ Im α ee - co - α em - co 3 4 η 0 + α me + co d 1 k 0 4 + α mm + co d 1 k 0 4 η 0 + α me - co 3 4 η 0 + α ee + co d 2 k 0 4 η 0 + α em + co d 2 k 0 4 η 0 2 ] The variable \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\tilde{P}$$\end{document} P ~ can be modeled in MATLAB software for different values of n , where n relates the length of the first chiral element in the unit cell design to a specific wavelength \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\lambda$$\end{document} λ according to Eq. ( ).

    Article Title: Numerical study of magneto convective ag (silver) graphene oxide (GO) hybrid nanofluid in a square enclosure with hot and cold slits and internal heat generation/absorption
    Article Snippet: Numerical modelling is implemented, by changing Richardson number \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\:\left(Ri\right)$$\end{document} , The results are located graphically using MATLAB software.

    Article Title: A nontraditional method for reducing thermoelastic stresses of variable thickness rotating discs
    Article Snippet: A finite element (FE) algorithm is built by the authors through the MATLAB software to solve for \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbf{X}} = \left\{ {\begin{array}{*{20}c} {\mathbf{U}} & {\mathbf{T}} \\ \end{array} } \right\}$$\end{document} X = U T , where \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbf{U}} = \left\{ {\begin{array}{*{20}c} u & \vartheta \\ \end{array} } \right\}$$\end{document} U = u θ .

    Article Title: A novel malaria mathematical model: integrating vector and non-vector transmission pathways
    Article Snippet: Using MATLAB Software, the numerical simulation of the malaria model was performed with the following initial values; \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$S_{H} = 800,\,\,V_{H} = 50,E_{H1} = 30,E_{H2} = 20,\,\,I_{H} = 15,\,\,T_{H} = 10,\,\,R_{H} = 5,\,\,S_{M} = 5,\,E_{M} = 5\,and\,\,\,I_{M} = 5.$$\end{document} S H = 800 , V H = 50 , E H 1 = 30 , E H 2 = 20 , I H = 15 , T H = 10 , R H = 5 , S M = 5 , E M = 5 a n d I M = 5 .

    Selection:

    Article Title: Finite element analysis of the interaction between high-compliant balloon catheters and non-cylindrical vessel structures: towards tactile sensing balloon catheters
    Article Snippet: Together with the preceding boundary conditions for the fibre alignment angle (45°) in the unstretched state, the parameters \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${k}_{1}, { k}_{2}, c$$\end{document} k 1 , k 2 , c for the dense inner layer (subscript \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$d$$\end{document} d ) and the softer outer layer (subscript \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$l$$\end{document} l ) can be identified based on the error function (Eq. ( )) with the help of the nonlinear ‘fmincon’ function in MATLAB® \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\text{Error function} = \mathop \sum \limits_{i = 0}^{10} (P_{mod\left( i \right)} \left( {c, k_{1} , k_{2} ,\beta } \right) - P_{input\left( i \right)} )^{2}$$\end{document} Error function = ∑ i = 0 10 ( P m o d i c , k 1 , k 2 , β - P i n p u t i ) 2 where \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${P}_{input(i)}$$\end{document} P i n p u t ( i ) are the pressures within the lumen, considered here from 0 to 10 kPa in 1 kPa steps.

    Article Title: Bayesian semiparametric inference in longitudinal metabolomics data
    Article Snippet: The spectral data (from \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\delta$$\end{document} 0.2 to \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\delta$$\end{document} 10) were imported into Matlab software with a resolution of 22K data-points (version R2013b, the Mathworks Inc, Natwick MA) and normalized to the total area after solvent peak removal.

    Article Title: Swarm of lightsail nanosatellites for Solar System exploration
    Article Snippet: The ephemeris of the planets at the departure time are computed by making use of the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{MATLAB}}$$\end{document} MATLAB Interface to the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{SPICE}}$$\end{document} SPICE toolkit at the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{DE440}}$$\end{document} DE440 integration epoch.

    Article Title: An energy-aware optimisation model to minimise energy consumption and carbon footprint in a flexible manufacturing system
    Article Snippet: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathrm{MATLAB}}^{\circledR }$$\end{document} MATLAB ® R2019a solves the WOA algorithm and optimisation model. Hewlett-Packard Notebook PC with Intel Core i5(R) 6200, 2.80 GHz processor with 8 GB,1600 MHz memory, and NVIDIA GeForce940M, 2 GB GPU are used for all experiments.

    Article Title: Optimizing an electromagnetic wave absorber for bi-anisotropic metasurfaces based on toroidal modes
    Article Snippet: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\begin{aligned} \tilde{P}= & {} \omega \Bigg [ \text {Im} \left\{ \alpha _{\textrm{ee}}^{\mathrm {-co}}\right\} -\alpha _{\textrm{em}}^{\mathrm {-co}}\left( \frac{3}{4\eta _0}\right) +\alpha _{\textrm{me}}^{\mathrm {+co}}\left( \frac{d_1k_0}{4}\right) +\alpha _{\textrm{mm}}^{\mathrm {+co}}\left( \frac{d_1k_0}{4\eta _0}\right) +\alpha _{\textrm{me}}^{\mathrm {-co}} \left( \frac{3}{4\eta _0}\right) +\alpha _{\textrm{ee}}^{\mathrm {+co}}\left( \frac{d_2k_0}{4\eta _0}\right) \nonumber \\{} & {} \qquad +\alpha _{\textrm{em}}^{\mathrm {+co}}\left( \frac{d_2k_0}{4\eta _0^2}\right) \Bigg ] \end{aligned}$$\end{document} P ~ = ω [ Im α ee - co - α em - co 3 4 η 0 + α me + co d 1 k 0 4 + α mm + co d 1 k 0 4 η 0 + α me - co 3 4 η 0 + α ee + co d 2 k 0 4 η 0 + α em + co d 2 k 0 4 η 0 2 ] The variable \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\tilde{P}$$\end{document} P ~ can be modeled in MATLAB software for different values of n , where n relates the length of the first chiral element in the unit cell design to a specific wavelength \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\lambda$$\end{document} λ according to Eq. ( ).

    Article Title: Numerical study of magneto convective ag (silver) graphene oxide (GO) hybrid nanofluid in a square enclosure with hot and cold slits and internal heat generation/absorption
    Article Snippet: Numerical modelling is implemented, by changing Richardson number \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\:\left(Ri\right)$$\end{document} , The results are located graphically using MATLAB software.

    Article Title: A nontraditional method for reducing thermoelastic stresses of variable thickness rotating discs
    Article Snippet: A finite element (FE) algorithm is built by the authors through the MATLAB software to solve for \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbf{X}} = \left\{ {\begin{array}{*{20}c} {\mathbf{U}} & {\mathbf{T}} \\ \end{array} } \right\}$$\end{document} X = U T , where \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbf{U}} = \left\{ {\begin{array}{*{20}c} u & \vartheta \\ \end{array} } \right\}$$\end{document} U = u θ .

    Article Title: A novel malaria mathematical model: integrating vector and non-vector transmission pathways
    Article Snippet: Using MATLAB Software, the numerical simulation of the malaria model was performed with the following initial values; \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$S_{H} = 800,\,\,V_{H} = 50,E_{H1} = 30,E_{H2} = 20,\,\,I_{H} = 15,\,\,T_{H} = 10,\,\,R_{H} = 5,\,\,S_{M} = 5,\,E_{M} = 5\,and\,\,\,I_{M} = 5.$$\end{document} S H = 800 , V H = 50 , E H 1 = 30 , E H 2 = 20 , I H = 15 , T H = 10 , R H = 5 , S M = 5 , E M = 5 a n d I M = 5 .

    Concentration Assay:

    Article Title: Finite element analysis of the interaction between high-compliant balloon catheters and non-cylindrical vessel structures: towards tactile sensing balloon catheters
    Article Snippet: Together with the preceding boundary conditions for the fibre alignment angle (45°) in the unstretched state, the parameters \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${k}_{1}, { k}_{2}, c$$\end{document} k 1 , k 2 , c for the dense inner layer (subscript \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$d$$\end{document} d ) and the softer outer layer (subscript \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$l$$\end{document} l ) can be identified based on the error function (Eq. ( )) with the help of the nonlinear ‘fmincon’ function in MATLAB® \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\text{Error function} = \mathop \sum \limits_{i = 0}^{10} (P_{mod\left( i \right)} \left( {c, k_{1} , k_{2} ,\beta } \right) - P_{input\left( i \right)} )^{2}$$\end{document} Error function = ∑ i = 0 10 ( P m o d i c , k 1 , k 2 , β - P i n p u t i ) 2 where \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${P}_{input(i)}$$\end{document} P i n p u t ( i ) are the pressures within the lumen, considered here from 0 to 10 kPa in 1 kPa steps.

    Article Title: Bayesian semiparametric inference in longitudinal metabolomics data
    Article Snippet: The spectral data (from \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\delta$$\end{document} 0.2 to \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\delta$$\end{document} 10) were imported into Matlab software with a resolution of 22K data-points (version R2013b, the Mathworks Inc, Natwick MA) and normalized to the total area after solvent peak removal.

    Article Title: Swarm of lightsail nanosatellites for Solar System exploration
    Article Snippet: The ephemeris of the planets at the departure time are computed by making use of the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{MATLAB}}$$\end{document} MATLAB Interface to the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{SPICE}}$$\end{document} SPICE toolkit at the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{DE440}}$$\end{document} DE440 integration epoch.

    Article Title: An energy-aware optimisation model to minimise energy consumption and carbon footprint in a flexible manufacturing system
    Article Snippet: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathrm{MATLAB}}^{\circledR }$$\end{document} MATLAB ® R2019a solves the WOA algorithm and optimisation model. Hewlett-Packard Notebook PC with Intel Core i5(R) 6200, 2.80 GHz processor with 8 GB,1600 MHz memory, and NVIDIA GeForce940M, 2 GB GPU are used for all experiments.

    Article Title: Optimizing an electromagnetic wave absorber for bi-anisotropic metasurfaces based on toroidal modes
    Article Snippet: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\begin{aligned} \tilde{P}= & {} \omega \Bigg [ \text {Im} \left\{ \alpha _{\textrm{ee}}^{\mathrm {-co}}\right\} -\alpha _{\textrm{em}}^{\mathrm {-co}}\left( \frac{3}{4\eta _0}\right) +\alpha _{\textrm{me}}^{\mathrm {+co}}\left( \frac{d_1k_0}{4}\right) +\alpha _{\textrm{mm}}^{\mathrm {+co}}\left( \frac{d_1k_0}{4\eta _0}\right) +\alpha _{\textrm{me}}^{\mathrm {-co}} \left( \frac{3}{4\eta _0}\right) +\alpha _{\textrm{ee}}^{\mathrm {+co}}\left( \frac{d_2k_0}{4\eta _0}\right) \nonumber \\{} & {} \qquad +\alpha _{\textrm{em}}^{\mathrm {+co}}\left( \frac{d_2k_0}{4\eta _0^2}\right) \Bigg ] \end{aligned}$$\end{document} P ~ = ω [ Im α ee - co - α em - co 3 4 η 0 + α me + co d 1 k 0 4 + α mm + co d 1 k 0 4 η 0 + α me - co 3 4 η 0 + α ee + co d 2 k 0 4 η 0 + α em + co d 2 k 0 4 η 0 2 ] The variable \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\tilde{P}$$\end{document} P ~ can be modeled in MATLAB software for different values of n , where n relates the length of the first chiral element in the unit cell design to a specific wavelength \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\lambda$$\end{document} λ according to Eq. ( ).

    Article Title: Numerical study of magneto convective ag (silver) graphene oxide (GO) hybrid nanofluid in a square enclosure with hot and cold slits and internal heat generation/absorption
    Article Snippet: Numerical modelling is implemented, by changing Richardson number \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\:\left(Ri\right)$$\end{document} , The results are located graphically using MATLAB software.

    Article Title: A nontraditional method for reducing thermoelastic stresses of variable thickness rotating discs
    Article Snippet: A finite element (FE) algorithm is built by the authors through the MATLAB software to solve for \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbf{X}} = \left\{ {\begin{array}{*{20}c} {\mathbf{U}} & {\mathbf{T}} \\ \end{array} } \right\}$$\end{document} X = U T , where \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbf{U}} = \left\{ {\begin{array}{*{20}c} u & \vartheta \\ \end{array} } \right\}$$\end{document} U = u θ .

    Article Title: A novel malaria mathematical model: integrating vector and non-vector transmission pathways
    Article Snippet: Using MATLAB Software, the numerical simulation of the malaria model was performed with the following initial values; \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$S_{H} = 800,\,\,V_{H} = 50,E_{H1} = 30,E_{H2} = 20,\,\,I_{H} = 15,\,\,T_{H} = 10,\,\,R_{H} = 5,\,\,S_{M} = 5,\,E_{M} = 5\,and\,\,\,I_{M} = 5.$$\end{document} S H = 800 , V H = 50 , E H 1 = 30 , E H 2 = 20 , I H = 15 , T H = 10 , R H = 5 , S M = 5 , E M = 5 a n d I M = 5 .

    Comparison:

    Article Title: Finite element analysis of the interaction between high-compliant balloon catheters and non-cylindrical vessel structures: towards tactile sensing balloon catheters
    Article Snippet: Together with the preceding boundary conditions for the fibre alignment angle (45°) in the unstretched state, the parameters \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${k}_{1}, { k}_{2}, c$$\end{document} k 1 , k 2 , c for the dense inner layer (subscript \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$d$$\end{document} d ) and the softer outer layer (subscript \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$l$$\end{document} l ) can be identified based on the error function (Eq. ( )) with the help of the nonlinear ‘fmincon’ function in MATLAB® \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\text{Error function} = \mathop \sum \limits_{i = 0}^{10} (P_{mod\left( i \right)} \left( {c, k_{1} , k_{2} ,\beta } \right) - P_{input\left( i \right)} )^{2}$$\end{document} Error function = ∑ i = 0 10 ( P m o d i c , k 1 , k 2 , β - P i n p u t i ) 2 where \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${P}_{input(i)}$$\end{document} P i n p u t ( i ) are the pressures within the lumen, considered here from 0 to 10 kPa in 1 kPa steps.

    Article Title: Bayesian semiparametric inference in longitudinal metabolomics data
    Article Snippet: The spectral data (from \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\delta$$\end{document} 0.2 to \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\delta$$\end{document} 10) were imported into Matlab software with a resolution of 22K data-points (version R2013b, the Mathworks Inc, Natwick MA) and normalized to the total area after solvent peak removal.

    Article Title: Swarm of lightsail nanosatellites for Solar System exploration
    Article Snippet: The ephemeris of the planets at the departure time are computed by making use of the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{MATLAB}}$$\end{document} MATLAB Interface to the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{SPICE}}$$\end{document} SPICE toolkit at the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{DE440}}$$\end{document} DE440 integration epoch.

    Article Title: An energy-aware optimisation model to minimise energy consumption and carbon footprint in a flexible manufacturing system
    Article Snippet: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathrm{MATLAB}}^{\circledR }$$\end{document} MATLAB ® R2019a solves the WOA algorithm and optimisation model. Hewlett-Packard Notebook PC with Intel Core i5(R) 6200, 2.80 GHz processor with 8 GB,1600 MHz memory, and NVIDIA GeForce940M, 2 GB GPU are used for all experiments.

    Article Title: Optimizing an electromagnetic wave absorber for bi-anisotropic metasurfaces based on toroidal modes
    Article Snippet: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\begin{aligned} \tilde{P}= & {} \omega \Bigg [ \text {Im} \left\{ \alpha _{\textrm{ee}}^{\mathrm {-co}}\right\} -\alpha _{\textrm{em}}^{\mathrm {-co}}\left( \frac{3}{4\eta _0}\right) +\alpha _{\textrm{me}}^{\mathrm {+co}}\left( \frac{d_1k_0}{4}\right) +\alpha _{\textrm{mm}}^{\mathrm {+co}}\left( \frac{d_1k_0}{4\eta _0}\right) +\alpha _{\textrm{me}}^{\mathrm {-co}} \left( \frac{3}{4\eta _0}\right) +\alpha _{\textrm{ee}}^{\mathrm {+co}}\left( \frac{d_2k_0}{4\eta _0}\right) \nonumber \\{} & {} \qquad +\alpha _{\textrm{em}}^{\mathrm {+co}}\left( \frac{d_2k_0}{4\eta _0^2}\right) \Bigg ] \end{aligned}$$\end{document} P ~ = ω [ Im α ee - co - α em - co 3 4 η 0 + α me + co d 1 k 0 4 + α mm + co d 1 k 0 4 η 0 + α me - co 3 4 η 0 + α ee + co d 2 k 0 4 η 0 + α em + co d 2 k 0 4 η 0 2 ] The variable \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\tilde{P}$$\end{document} P ~ can be modeled in MATLAB software for different values of n , where n relates the length of the first chiral element in the unit cell design to a specific wavelength \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\lambda$$\end{document} λ according to Eq. ( ).

    Article Title: Numerical study of magneto convective ag (silver) graphene oxide (GO) hybrid nanofluid in a square enclosure with hot and cold slits and internal heat generation/absorption
    Article Snippet: Numerical modelling is implemented, by changing Richardson number \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\:\left(Ri\right)$$\end{document} , The results are located graphically using MATLAB software.

    Article Title: A nontraditional method for reducing thermoelastic stresses of variable thickness rotating discs
    Article Snippet: A finite element (FE) algorithm is built by the authors through the MATLAB software to solve for \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbf{X}} = \left\{ {\begin{array}{*{20}c} {\mathbf{U}} & {\mathbf{T}} \\ \end{array} } \right\}$$\end{document} X = U T , where \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbf{U}} = \left\{ {\begin{array}{*{20}c} u & \vartheta \\ \end{array} } \right\}$$\end{document} U = u θ .

    Article Title: A novel malaria mathematical model: integrating vector and non-vector transmission pathways
    Article Snippet: Using MATLAB Software, the numerical simulation of the malaria model was performed with the following initial values; \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$S_{H} = 800,\,\,V_{H} = 50,E_{H1} = 30,E_{H2} = 20,\,\,I_{H} = 15,\,\,T_{H} = 10,\,\,R_{H} = 5,\,\,S_{M} = 5,\,E_{M} = 5\,and\,\,\,I_{M} = 5.$$\end{document} S H = 800 , V H = 50 , E H 1 = 30 , E H 2 = 20 , I H = 15 , T H = 10 , R H = 5 , S M = 5 , E M = 5 a n d I M = 5 .

    Transmission Assay:

    Article Title: Finite element analysis of the interaction between high-compliant balloon catheters and non-cylindrical vessel structures: towards tactile sensing balloon catheters
    Article Snippet: Together with the preceding boundary conditions for the fibre alignment angle (45°) in the unstretched state, the parameters \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${k}_{1}, { k}_{2}, c$$\end{document} k 1 , k 2 , c for the dense inner layer (subscript \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$d$$\end{document} d ) and the softer outer layer (subscript \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$l$$\end{document} l ) can be identified based on the error function (Eq. ( )) with the help of the nonlinear ‘fmincon’ function in MATLAB® \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\text{Error function} = \mathop \sum \limits_{i = 0}^{10} (P_{mod\left( i \right)} \left( {c, k_{1} , k_{2} ,\beta } \right) - P_{input\left( i \right)} )^{2}$$\end{document} Error function = ∑ i = 0 10 ( P m o d i c , k 1 , k 2 , β - P i n p u t i ) 2 where \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${P}_{input(i)}$$\end{document} P i n p u t ( i ) are the pressures within the lumen, considered here from 0 to 10 kPa in 1 kPa steps.

    Article Title: Bayesian semiparametric inference in longitudinal metabolomics data
    Article Snippet: The spectral data (from \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\delta$$\end{document} 0.2 to \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\delta$$\end{document} 10) were imported into Matlab software with a resolution of 22K data-points (version R2013b, the Mathworks Inc, Natwick MA) and normalized to the total area after solvent peak removal.

    Article Title: Swarm of lightsail nanosatellites for Solar System exploration
    Article Snippet: The ephemeris of the planets at the departure time are computed by making use of the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{MATLAB}}$$\end{document} MATLAB Interface to the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{SPICE}}$$\end{document} SPICE toolkit at the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{DE440}}$$\end{document} DE440 integration epoch.

    Article Title: An energy-aware optimisation model to minimise energy consumption and carbon footprint in a flexible manufacturing system
    Article Snippet: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathrm{MATLAB}}^{\circledR }$$\end{document} MATLAB ® R2019a solves the WOA algorithm and optimisation model. Hewlett-Packard Notebook PC with Intel Core i5(R) 6200, 2.80 GHz processor with 8 GB,1600 MHz memory, and NVIDIA GeForce940M, 2 GB GPU are used for all experiments.

    Article Title: Optimizing an electromagnetic wave absorber for bi-anisotropic metasurfaces based on toroidal modes
    Article Snippet: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\begin{aligned} \tilde{P}= & {} \omega \Bigg [ \text {Im} \left\{ \alpha _{\textrm{ee}}^{\mathrm {-co}}\right\} -\alpha _{\textrm{em}}^{\mathrm {-co}}\left( \frac{3}{4\eta _0}\right) +\alpha _{\textrm{me}}^{\mathrm {+co}}\left( \frac{d_1k_0}{4}\right) +\alpha _{\textrm{mm}}^{\mathrm {+co}}\left( \frac{d_1k_0}{4\eta _0}\right) +\alpha _{\textrm{me}}^{\mathrm {-co}} \left( \frac{3}{4\eta _0}\right) +\alpha _{\textrm{ee}}^{\mathrm {+co}}\left( \frac{d_2k_0}{4\eta _0}\right) \nonumber \\{} & {} \qquad +\alpha _{\textrm{em}}^{\mathrm {+co}}\left( \frac{d_2k_0}{4\eta _0^2}\right) \Bigg ] \end{aligned}$$\end{document} P ~ = ω [ Im α ee - co - α em - co 3 4 η 0 + α me + co d 1 k 0 4 + α mm + co d 1 k 0 4 η 0 + α me - co 3 4 η 0 + α ee + co d 2 k 0 4 η 0 + α em + co d 2 k 0 4 η 0 2 ] The variable \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\tilde{P}$$\end{document} P ~ can be modeled in MATLAB software for different values of n , where n relates the length of the first chiral element in the unit cell design to a specific wavelength \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\lambda$$\end{document} λ according to Eq. ( ).

    Article Title: Numerical study of magneto convective ag (silver) graphene oxide (GO) hybrid nanofluid in a square enclosure with hot and cold slits and internal heat generation/absorption
    Article Snippet: Numerical modelling is implemented, by changing Richardson number \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\:\left(Ri\right)$$\end{document} , The results are located graphically using MATLAB software.

    Article Title: A nontraditional method for reducing thermoelastic stresses of variable thickness rotating discs
    Article Snippet: A finite element (FE) algorithm is built by the authors through the MATLAB software to solve for \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbf{X}} = \left\{ {\begin{array}{*{20}c} {\mathbf{U}} & {\mathbf{T}} \\ \end{array} } \right\}$$\end{document} X = U T , where \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbf{U}} = \left\{ {\begin{array}{*{20}c} u & \vartheta \\ \end{array} } \right\}$$\end{document} U = u θ .

    Article Title: A novel malaria mathematical model: integrating vector and non-vector transmission pathways
    Article Snippet: Using MATLAB Software, the numerical simulation of the malaria model was performed with the following initial values; \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$S_{H} = 800,\,\,V_{H} = 50,E_{H1} = 30,E_{H2} = 20,\,\,I_{H} = 15,\,\,T_{H} = 10,\,\,R_{H} = 5,\,\,S_{M} = 5,\,E_{M} = 5\,and\,\,\,I_{M} = 5.$$\end{document} S H = 800 , V H = 50 , E H 1 = 30 , E H 2 = 20 , I H = 15 , T H = 10 , R H = 5 , S M = 5 , E M = 5 a n d I M = 5 .

    Amplification:

    Article Title: Finite element analysis of the interaction between high-compliant balloon catheters and non-cylindrical vessel structures: towards tactile sensing balloon catheters
    Article Snippet: Together with the preceding boundary conditions for the fibre alignment angle (45°) in the unstretched state, the parameters \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${k}_{1}, { k}_{2}, c$$\end{document} k 1 , k 2 , c for the dense inner layer (subscript \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$d$$\end{document} d ) and the softer outer layer (subscript \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$l$$\end{document} l ) can be identified based on the error function (Eq. ( )) with the help of the nonlinear ‘fmincon’ function in MATLAB® \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\text{Error function} = \mathop \sum \limits_{i = 0}^{10} (P_{mod\left( i \right)} \left( {c, k_{1} , k_{2} ,\beta } \right) - P_{input\left( i \right)} )^{2}$$\end{document} Error function = ∑ i = 0 10 ( P m o d i c , k 1 , k 2 , β - P i n p u t i ) 2 where \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${P}_{input(i)}$$\end{document} P i n p u t ( i ) are the pressures within the lumen, considered here from 0 to 10 kPa in 1 kPa steps.

    Article Title: Bayesian semiparametric inference in longitudinal metabolomics data
    Article Snippet: The spectral data (from \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\delta$$\end{document} 0.2 to \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\delta$$\end{document} 10) were imported into Matlab software with a resolution of 22K data-points (version R2013b, the Mathworks Inc, Natwick MA) and normalized to the total area after solvent peak removal.

    Article Title: Swarm of lightsail nanosatellites for Solar System exploration
    Article Snippet: The ephemeris of the planets at the departure time are computed by making use of the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{MATLAB}}$$\end{document} MATLAB Interface to the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{SPICE}}$$\end{document} SPICE toolkit at the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{DE440}}$$\end{document} DE440 integration epoch.

    Article Title: An energy-aware optimisation model to minimise energy consumption and carbon footprint in a flexible manufacturing system
    Article Snippet: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathrm{MATLAB}}^{\circledR }$$\end{document} MATLAB ® R2019a solves the WOA algorithm and optimisation model. Hewlett-Packard Notebook PC with Intel Core i5(R) 6200, 2.80 GHz processor with 8 GB,1600 MHz memory, and NVIDIA GeForce940M, 2 GB GPU are used for all experiments.

    Article Title: Optimizing an electromagnetic wave absorber for bi-anisotropic metasurfaces based on toroidal modes
    Article Snippet: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\begin{aligned} \tilde{P}= & {} \omega \Bigg [ \text {Im} \left\{ \alpha _{\textrm{ee}}^{\mathrm {-co}}\right\} -\alpha _{\textrm{em}}^{\mathrm {-co}}\left( \frac{3}{4\eta _0}\right) +\alpha _{\textrm{me}}^{\mathrm {+co}}\left( \frac{d_1k_0}{4}\right) +\alpha _{\textrm{mm}}^{\mathrm {+co}}\left( \frac{d_1k_0}{4\eta _0}\right) +\alpha _{\textrm{me}}^{\mathrm {-co}} \left( \frac{3}{4\eta _0}\right) +\alpha _{\textrm{ee}}^{\mathrm {+co}}\left( \frac{d_2k_0}{4\eta _0}\right) \nonumber \\{} & {} \qquad +\alpha _{\textrm{em}}^{\mathrm {+co}}\left( \frac{d_2k_0}{4\eta _0^2}\right) \Bigg ] \end{aligned}$$\end{document} P ~ = ω [ Im α ee - co - α em - co 3 4 η 0 + α me + co d 1 k 0 4 + α mm + co d 1 k 0 4 η 0 + α me - co 3 4 η 0 + α ee + co d 2 k 0 4 η 0 + α em + co d 2 k 0 4 η 0 2 ] The variable \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\tilde{P}$$\end{document} P ~ can be modeled in MATLAB software for different values of n , where n relates the length of the first chiral element in the unit cell design to a specific wavelength \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\lambda$$\end{document} λ according to Eq. ( ).

    Article Title: Numerical study of magneto convective ag (silver) graphene oxide (GO) hybrid nanofluid in a square enclosure with hot and cold slits and internal heat generation/absorption
    Article Snippet: Numerical modelling is implemented, by changing Richardson number \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\:\left(Ri\right)$$\end{document} , The results are located graphically using MATLAB software.

    Article Title: A nontraditional method for reducing thermoelastic stresses of variable thickness rotating discs
    Article Snippet: A finite element (FE) algorithm is built by the authors through the MATLAB software to solve for \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbf{X}} = \left\{ {\begin{array}{*{20}c} {\mathbf{U}} & {\mathbf{T}} \\ \end{array} } \right\}$$\end{document} X = U T , where \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbf{U}} = \left\{ {\begin{array}{*{20}c} u & \vartheta \\ \end{array} } \right\}$$\end{document} U = u θ .

    Article Title: A novel malaria mathematical model: integrating vector and non-vector transmission pathways
    Article Snippet: Using MATLAB Software, the numerical simulation of the malaria model was performed with the following initial values; \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$S_{H} = 800,\,\,V_{H} = 50,E_{H1} = 30,E_{H2} = 20,\,\,I_{H} = 15,\,\,T_{H} = 10,\,\,R_{H} = 5,\,\,S_{M} = 5,\,E_{M} = 5\,and\,\,\,I_{M} = 5.$$\end{document} S H = 800 , V H = 50 , E H 1 = 30 , E H 2 = 20 , I H = 15 , T H = 10 , R H = 5 , S M = 5 , E M = 5 a n d I M = 5 .

    Diffusion-based Assay:

    Article Title: Finite element analysis of the interaction between high-compliant balloon catheters and non-cylindrical vessel structures: towards tactile sensing balloon catheters
    Article Snippet: Together with the preceding boundary conditions for the fibre alignment angle (45°) in the unstretched state, the parameters \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${k}_{1}, { k}_{2}, c$$\end{document} k 1 , k 2 , c for the dense inner layer (subscript \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$d$$\end{document} d ) and the softer outer layer (subscript \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$l$$\end{document} l ) can be identified based on the error function (Eq. ( )) with the help of the nonlinear ‘fmincon’ function in MATLAB® \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\text{Error function} = \mathop \sum \limits_{i = 0}^{10} (P_{mod\left( i \right)} \left( {c, k_{1} , k_{2} ,\beta } \right) - P_{input\left( i \right)} )^{2}$$\end{document} Error function = ∑ i = 0 10 ( P m o d i c , k 1 , k 2 , β - P i n p u t i ) 2 where \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${P}_{input(i)}$$\end{document} P i n p u t ( i ) are the pressures within the lumen, considered here from 0 to 10 kPa in 1 kPa steps.

    Article Title: Bayesian semiparametric inference in longitudinal metabolomics data
    Article Snippet: The spectral data (from \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\delta$$\end{document} 0.2 to \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\delta$$\end{document} 10) were imported into Matlab software with a resolution of 22K data-points (version R2013b, the Mathworks Inc, Natwick MA) and normalized to the total area after solvent peak removal.

    Article Title: Swarm of lightsail nanosatellites for Solar System exploration
    Article Snippet: The ephemeris of the planets at the departure time are computed by making use of the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{MATLAB}}$$\end{document} MATLAB Interface to the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{SPICE}}$$\end{document} SPICE toolkit at the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{DE440}}$$\end{document} DE440 integration epoch.

    Article Title: An energy-aware optimisation model to minimise energy consumption and carbon footprint in a flexible manufacturing system
    Article Snippet: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathrm{MATLAB}}^{\circledR }$$\end{document} MATLAB ® R2019a solves the WOA algorithm and optimisation model. Hewlett-Packard Notebook PC with Intel Core i5(R) 6200, 2.80 GHz processor with 8 GB,1600 MHz memory, and NVIDIA GeForce940M, 2 GB GPU are used for all experiments.

    Article Title: Optimizing an electromagnetic wave absorber for bi-anisotropic metasurfaces based on toroidal modes
    Article Snippet: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\begin{aligned} \tilde{P}= & {} \omega \Bigg [ \text {Im} \left\{ \alpha _{\textrm{ee}}^{\mathrm {-co}}\right\} -\alpha _{\textrm{em}}^{\mathrm {-co}}\left( \frac{3}{4\eta _0}\right) +\alpha _{\textrm{me}}^{\mathrm {+co}}\left( \frac{d_1k_0}{4}\right) +\alpha _{\textrm{mm}}^{\mathrm {+co}}\left( \frac{d_1k_0}{4\eta _0}\right) +\alpha _{\textrm{me}}^{\mathrm {-co}} \left( \frac{3}{4\eta _0}\right) +\alpha _{\textrm{ee}}^{\mathrm {+co}}\left( \frac{d_2k_0}{4\eta _0}\right) \nonumber \\{} & {} \qquad +\alpha _{\textrm{em}}^{\mathrm {+co}}\left( \frac{d_2k_0}{4\eta _0^2}\right) \Bigg ] \end{aligned}$$\end{document} P ~ = ω [ Im α ee - co - α em - co 3 4 η 0 + α me + co d 1 k 0 4 + α mm + co d 1 k 0 4 η 0 + α me - co 3 4 η 0 + α ee + co d 2 k 0 4 η 0 + α em + co d 2 k 0 4 η 0 2 ] The variable \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\tilde{P}$$\end{document} P ~ can be modeled in MATLAB software for different values of n , where n relates the length of the first chiral element in the unit cell design to a specific wavelength \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\lambda$$\end{document} λ according to Eq. ( ).

    Article Title: Numerical study of magneto convective ag (silver) graphene oxide (GO) hybrid nanofluid in a square enclosure with hot and cold slits and internal heat generation/absorption
    Article Snippet: Numerical modelling is implemented, by changing Richardson number \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\:\left(Ri\right)$$\end{document} , The results are located graphically using MATLAB software.

    Article Title: A nontraditional method for reducing thermoelastic stresses of variable thickness rotating discs
    Article Snippet: A finite element (FE) algorithm is built by the authors through the MATLAB software to solve for \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbf{X}} = \left\{ {\begin{array}{*{20}c} {\mathbf{U}} & {\mathbf{T}} \\ \end{array} } \right\}$$\end{document} X = U T , where \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbf{U}} = \left\{ {\begin{array}{*{20}c} u & \vartheta \\ \end{array} } \right\}$$\end{document} U = u θ .

    Article Title: A novel malaria mathematical model: integrating vector and non-vector transmission pathways
    Article Snippet: Using MATLAB Software, the numerical simulation of the malaria model was performed with the following initial values; \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$S_{H} = 800,\,\,V_{H} = 50,E_{H1} = 30,E_{H2} = 20,\,\,I_{H} = 15,\,\,T_{H} = 10,\,\,R_{H} = 5,\,\,S_{M} = 5,\,E_{M} = 5\,and\,\,\,I_{M} = 5.$$\end{document} S H = 800 , V H = 50 , E H 1 = 30 , E H 2 = 20 , I H = 15 , T H = 10 , R H = 5 , S M = 5 , E M = 5 a n d I M = 5 .

    Generated:

    Article Title: Finite element analysis of the interaction between high-compliant balloon catheters and non-cylindrical vessel structures: towards tactile sensing balloon catheters
    Article Snippet: Together with the preceding boundary conditions for the fibre alignment angle (45°) in the unstretched state, the parameters \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${k}_{1}, { k}_{2}, c$$\end{document} k 1 , k 2 , c for the dense inner layer (subscript \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$d$$\end{document} d ) and the softer outer layer (subscript \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$l$$\end{document} l ) can be identified based on the error function (Eq. ( )) with the help of the nonlinear ‘fmincon’ function in MATLAB® \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\text{Error function} = \mathop \sum \limits_{i = 0}^{10} (P_{mod\left( i \right)} \left( {c, k_{1} , k_{2} ,\beta } \right) - P_{input\left( i \right)} )^{2}$$\end{document} Error function = ∑ i = 0 10 ( P m o d i c , k 1 , k 2 , β - P i n p u t i ) 2 where \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${P}_{input(i)}$$\end{document} P i n p u t ( i ) are the pressures within the lumen, considered here from 0 to 10 kPa in 1 kPa steps.

    Article Title: Bayesian semiparametric inference in longitudinal metabolomics data
    Article Snippet: The spectral data (from \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\delta$$\end{document} 0.2 to \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\delta$$\end{document} 10) were imported into Matlab software with a resolution of 22K data-points (version R2013b, the Mathworks Inc, Natwick MA) and normalized to the total area after solvent peak removal.

    Article Title: Swarm of lightsail nanosatellites for Solar System exploration
    Article Snippet: The ephemeris of the planets at the departure time are computed by making use of the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{MATLAB}}$$\end{document} MATLAB Interface to the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{SPICE}}$$\end{document} SPICE toolkit at the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{DE440}}$$\end{document} DE440 integration epoch.

    Article Title: An energy-aware optimisation model to minimise energy consumption and carbon footprint in a flexible manufacturing system
    Article Snippet: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathrm{MATLAB}}^{\circledR }$$\end{document} MATLAB ® R2019a solves the WOA algorithm and optimisation model. Hewlett-Packard Notebook PC with Intel Core i5(R) 6200, 2.80 GHz processor with 8 GB,1600 MHz memory, and NVIDIA GeForce940M, 2 GB GPU are used for all experiments.

    Article Title: Optimizing an electromagnetic wave absorber for bi-anisotropic metasurfaces based on toroidal modes
    Article Snippet: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\begin{aligned} \tilde{P}= & {} \omega \Bigg [ \text {Im} \left\{ \alpha _{\textrm{ee}}^{\mathrm {-co}}\right\} -\alpha _{\textrm{em}}^{\mathrm {-co}}\left( \frac{3}{4\eta _0}\right) +\alpha _{\textrm{me}}^{\mathrm {+co}}\left( \frac{d_1k_0}{4}\right) +\alpha _{\textrm{mm}}^{\mathrm {+co}}\left( \frac{d_1k_0}{4\eta _0}\right) +\alpha _{\textrm{me}}^{\mathrm {-co}} \left( \frac{3}{4\eta _0}\right) +\alpha _{\textrm{ee}}^{\mathrm {+co}}\left( \frac{d_2k_0}{4\eta _0}\right) \nonumber \\{} & {} \qquad +\alpha _{\textrm{em}}^{\mathrm {+co}}\left( \frac{d_2k_0}{4\eta _0^2}\right) \Bigg ] \end{aligned}$$\end{document} P ~ = ω [ Im α ee - co - α em - co 3 4 η 0 + α me + co d 1 k 0 4 + α mm + co d 1 k 0 4 η 0 + α me - co 3 4 η 0 + α ee + co d 2 k 0 4 η 0 + α em + co d 2 k 0 4 η 0 2 ] The variable \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\tilde{P}$$\end{document} P ~ can be modeled in MATLAB software for different values of n , where n relates the length of the first chiral element in the unit cell design to a specific wavelength \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\lambda$$\end{document} λ according to Eq. ( ).

    Article Title: Numerical study of magneto convective ag (silver) graphene oxide (GO) hybrid nanofluid in a square enclosure with hot and cold slits and internal heat generation/absorption
    Article Snippet: Numerical modelling is implemented, by changing Richardson number \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\:\left(Ri\right)$$\end{document} , The results are located graphically using MATLAB software.

    Article Title: A nontraditional method for reducing thermoelastic stresses of variable thickness rotating discs
    Article Snippet: A finite element (FE) algorithm is built by the authors through the MATLAB software to solve for \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbf{X}} = \left\{ {\begin{array}{*{20}c} {\mathbf{U}} & {\mathbf{T}} \\ \end{array} } \right\}$$\end{document} X = U T , where \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbf{U}} = \left\{ {\begin{array}{*{20}c} u & \vartheta \\ \end{array} } \right\}$$\end{document} U = u θ .

    Article Title: A novel malaria mathematical model: integrating vector and non-vector transmission pathways
    Article Snippet: Using MATLAB Software, the numerical simulation of the malaria model was performed with the following initial values; \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$S_{H} = 800,\,\,V_{H} = 50,E_{H1} = 30,E_{H2} = 20,\,\,I_{H} = 15,\,\,T_{H} = 10,\,\,R_{H} = 5,\,\,S_{M} = 5,\,E_{M} = 5\,and\,\,\,I_{M} = 5.$$\end{document} S H = 800 , V H = 50 , E H 1 = 30 , E H 2 = 20 , I H = 15 , T H = 10 , R H = 5 , S M = 5 , E M = 5 a n d I M = 5 .

    Software:

    Article Title: Finite element analysis of the interaction between high-compliant balloon catheters and non-cylindrical vessel structures: towards tactile sensing balloon catheters
    Article Snippet: Together with the preceding boundary conditions for the fibre alignment angle (45°) in the unstretched state, the parameters \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${k}_{1}, { k}_{2}, c$$\end{document} k 1 , k 2 , c for the dense inner layer (subscript \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$d$$\end{document} d ) and the softer outer layer (subscript \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$l$$\end{document} l ) can be identified based on the error function (Eq. ( )) with the help of the nonlinear ‘fmincon’ function in MATLAB® \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\text{Error function} = \mathop \sum \limits_{i = 0}^{10} (P_{mod\left( i \right)} \left( {c, k_{1} , k_{2} ,\beta } \right) - P_{input\left( i \right)} )^{2}$$\end{document} Error function = ∑ i = 0 10 ( P m o d i c , k 1 , k 2 , β - P i n p u t i ) 2 where \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${P}_{input(i)}$$\end{document} P i n p u t ( i ) are the pressures within the lumen, considered here from 0 to 10 kPa in 1 kPa steps.

    Article Title: Bayesian semiparametric inference in longitudinal metabolomics data
    Article Snippet: The spectral data (from \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\delta$$\end{document} 0.2 to \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\delta$$\end{document} 10) were imported into Matlab software with a resolution of 22K data-points (version R2013b, the Mathworks Inc, Natwick MA) and normalized to the total area after solvent peak removal.

    Article Title: Swarm of lightsail nanosatellites for Solar System exploration
    Article Snippet: The ephemeris of the planets at the departure time are computed by making use of the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{MATLAB}}$$\end{document} MATLAB Interface to the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{SPICE}}$$\end{document} SPICE toolkit at the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{DE440}}$$\end{document} DE440 integration epoch.

    Article Title: An energy-aware optimisation model to minimise energy consumption and carbon footprint in a flexible manufacturing system
    Article Snippet: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathrm{MATLAB}}^{\circledR }$$\end{document} MATLAB ® R2019a solves the WOA algorithm and optimisation model. Hewlett-Packard Notebook PC with Intel Core i5(R) 6200, 2.80 GHz processor with 8 GB,1600 MHz memory, and NVIDIA GeForce940M, 2 GB GPU are used for all experiments.

    Article Title: Optimizing an electromagnetic wave absorber for bi-anisotropic metasurfaces based on toroidal modes
    Article Snippet: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\begin{aligned} \tilde{P}= & {} \omega \Bigg [ \text {Im} \left\{ \alpha _{\textrm{ee}}^{\mathrm {-co}}\right\} -\alpha _{\textrm{em}}^{\mathrm {-co}}\left( \frac{3}{4\eta _0}\right) +\alpha _{\textrm{me}}^{\mathrm {+co}}\left( \frac{d_1k_0}{4}\right) +\alpha _{\textrm{mm}}^{\mathrm {+co}}\left( \frac{d_1k_0}{4\eta _0}\right) +\alpha _{\textrm{me}}^{\mathrm {-co}} \left( \frac{3}{4\eta _0}\right) +\alpha _{\textrm{ee}}^{\mathrm {+co}}\left( \frac{d_2k_0}{4\eta _0}\right) \nonumber \\{} & {} \qquad +\alpha _{\textrm{em}}^{\mathrm {+co}}\left( \frac{d_2k_0}{4\eta _0^2}\right) \Bigg ] \end{aligned}$$\end{document} P ~ = ω [ Im α ee - co - α em - co 3 4 η 0 + α me + co d 1 k 0 4 + α mm + co d 1 k 0 4 η 0 + α me - co 3 4 η 0 + α ee + co d 2 k 0 4 η 0 + α em + co d 2 k 0 4 η 0 2 ] The variable \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\tilde{P}$$\end{document} P ~ can be modeled in MATLAB software for different values of n , where n relates the length of the first chiral element in the unit cell design to a specific wavelength \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\lambda$$\end{document} λ according to Eq. ( ).

    Article Title: Numerical study of magneto convective ag (silver) graphene oxide (GO) hybrid nanofluid in a square enclosure with hot and cold slits and internal heat generation/absorption
    Article Snippet: Numerical modelling is implemented, by changing Richardson number \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\:\left(Ri\right)$$\end{document} , The results are located graphically using MATLAB software.

    Article Title: A nontraditional method for reducing thermoelastic stresses of variable thickness rotating discs
    Article Snippet: A finite element (FE) algorithm is built by the authors through the MATLAB software to solve for \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbf{X}} = \left\{ {\begin{array}{*{20}c} {\mathbf{U}} & {\mathbf{T}} \\ \end{array} } \right\}$$\end{document} X = U T , where \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbf{U}} = \left\{ {\begin{array}{*{20}c} u & \vartheta \\ \end{array} } \right\}$$\end{document} U = u θ .

    Article Title: A novel malaria mathematical model: integrating vector and non-vector transmission pathways
    Article Snippet: Using MATLAB Software, the numerical simulation of the malaria model was performed with the following initial values; \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$S_{H} = 800,\,\,V_{H} = 50,E_{H1} = 30,E_{H2} = 20,\,\,I_{H} = 15,\,\,T_{H} = 10,\,\,R_{H} = 5,\,\,S_{M} = 5,\,E_{M} = 5\,and\,\,\,I_{M} = 5.$$\end{document} S H = 800 , V H = 50 , E H 1 = 30 , E H 2 = 20 , I H = 15 , T H = 10 , R H = 5 , S M = 5 , E M = 5 a n d I M = 5 .

    Membrane:

    Article Title: Finite element analysis of the interaction between high-compliant balloon catheters and non-cylindrical vessel structures: towards tactile sensing balloon catheters
    Article Snippet: Together with the preceding boundary conditions for the fibre alignment angle (45°) in the unstretched state, the parameters \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${k}_{1}, { k}_{2}, c$$\end{document} k 1 , k 2 , c for the dense inner layer (subscript \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$d$$\end{document} d ) and the softer outer layer (subscript \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$l$$\end{document} l ) can be identified based on the error function (Eq. ( )) with the help of the nonlinear ‘fmincon’ function in MATLAB® \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\text{Error function} = \mathop \sum \limits_{i = 0}^{10} (P_{mod\left( i \right)} \left( {c, k_{1} , k_{2} ,\beta } \right) - P_{input\left( i \right)} )^{2}$$\end{document} Error function = ∑ i = 0 10 ( P m o d i c , k 1 , k 2 , β - P i n p u t i ) 2 where \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${P}_{input(i)}$$\end{document} P i n p u t ( i ) are the pressures within the lumen, considered here from 0 to 10 kPa in 1 kPa steps.

    Article Title: Bayesian semiparametric inference in longitudinal metabolomics data
    Article Snippet: The spectral data (from \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\delta$$\end{document} 0.2 to \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\delta$$\end{document} 10) were imported into Matlab software with a resolution of 22K data-points (version R2013b, the Mathworks Inc, Natwick MA) and normalized to the total area after solvent peak removal.

    Article Title: Swarm of lightsail nanosatellites for Solar System exploration
    Article Snippet: The ephemeris of the planets at the departure time are computed by making use of the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{MATLAB}}$$\end{document} MATLAB Interface to the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{SPICE}}$$\end{document} SPICE toolkit at the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{DE440}}$$\end{document} DE440 integration epoch.

    Article Title: An energy-aware optimisation model to minimise energy consumption and carbon footprint in a flexible manufacturing system
    Article Snippet: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathrm{MATLAB}}^{\circledR }$$\end{document} MATLAB ® R2019a solves the WOA algorithm and optimisation model. Hewlett-Packard Notebook PC with Intel Core i5(R) 6200, 2.80 GHz processor with 8 GB,1600 MHz memory, and NVIDIA GeForce940M, 2 GB GPU are used for all experiments.

    Article Title: Optimizing an electromagnetic wave absorber for bi-anisotropic metasurfaces based on toroidal modes
    Article Snippet: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\begin{aligned} \tilde{P}= & {} \omega \Bigg [ \text {Im} \left\{ \alpha _{\textrm{ee}}^{\mathrm {-co}}\right\} -\alpha _{\textrm{em}}^{\mathrm {-co}}\left( \frac{3}{4\eta _0}\right) +\alpha _{\textrm{me}}^{\mathrm {+co}}\left( \frac{d_1k_0}{4}\right) +\alpha _{\textrm{mm}}^{\mathrm {+co}}\left( \frac{d_1k_0}{4\eta _0}\right) +\alpha _{\textrm{me}}^{\mathrm {-co}} \left( \frac{3}{4\eta _0}\right) +\alpha _{\textrm{ee}}^{\mathrm {+co}}\left( \frac{d_2k_0}{4\eta _0}\right) \nonumber \\{} & {} \qquad +\alpha _{\textrm{em}}^{\mathrm {+co}}\left( \frac{d_2k_0}{4\eta _0^2}\right) \Bigg ] \end{aligned}$$\end{document} P ~ = ω [ Im α ee - co - α em - co 3 4 η 0 + α me + co d 1 k 0 4 + α mm + co d 1 k 0 4 η 0 + α me - co 3 4 η 0 + α ee + co d 2 k 0 4 η 0 + α em + co d 2 k 0 4 η 0 2 ] The variable \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\tilde{P}$$\end{document} P ~ can be modeled in MATLAB software for different values of n , where n relates the length of the first chiral element in the unit cell design to a specific wavelength \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\lambda$$\end{document} λ according to Eq. ( ).

    Article Title: Numerical study of magneto convective ag (silver) graphene oxide (GO) hybrid nanofluid in a square enclosure with hot and cold slits and internal heat generation/absorption
    Article Snippet: Numerical modelling is implemented, by changing Richardson number \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\:\left(Ri\right)$$\end{document} , The results are located graphically using MATLAB software.

    Article Title: A nontraditional method for reducing thermoelastic stresses of variable thickness rotating discs
    Article Snippet: A finite element (FE) algorithm is built by the authors through the MATLAB software to solve for \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbf{X}} = \left\{ {\begin{array}{*{20}c} {\mathbf{U}} & {\mathbf{T}} \\ \end{array} } \right\}$$\end{document} X = U T , where \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbf{U}} = \left\{ {\begin{array}{*{20}c} u & \vartheta \\ \end{array} } \right\}$$\end{document} U = u θ .

    Article Title: A novel malaria mathematical model: integrating vector and non-vector transmission pathways
    Article Snippet: Using MATLAB Software, the numerical simulation of the malaria model was performed with the following initial values; \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$S_{H} = 800,\,\,V_{H} = 50,E_{H1} = 30,E_{H2} = 20,\,\,I_{H} = 15,\,\,T_{H} = 10,\,\,R_{H} = 5,\,\,S_{M} = 5,\,E_{M} = 5\,and\,\,\,I_{M} = 5.$$\end{document} S H = 800 , V H = 50 , E H 1 = 30 , E H 2 = 20 , I H = 15 , T H = 10 , R H = 5 , S M = 5 , E M = 5 a n d I M = 5 .



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    k GPRELM’s overfitting (for a fixed \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\lambda =1$$\end{document} λ = 1 )

    Journal: Knowledge and Information Systems

    Article Title: A novel correlation Gaussian process regression-based extreme learning machine

    doi: 10.1007/s10115-022-01803-4

    Figure Lengend Snippet: k GPRELM’s overfitting (for a fixed \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\lambda =1$$\end{document} λ = 1 )

    Article Snippet: This is caused by the mathematical property of the sigmoid activation function \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$g\left( v \right) = \frac{1}{{1 + e^{ - v} }}$$\end{document} g v = + e - v . In MATLAB, when v \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\le $$\end{document} ≤ \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$-12.206$$\end{document} - 12.206 , \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$g\left( v \right) $$\end{document} g v \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\le $$\end{document} ≤ 0.00001; when v \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\ge $$\end{document} ≥ 11.108, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$g\left( v \right) $$\end{document} g v \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\ge $$\end{document} ≥ 0.99999.

    Techniques:

    Main differences between ELM, k GPRELM, and c GPRELM

    Journal: Knowledge and Information Systems

    Article Title: A novel correlation Gaussian process regression-based extreme learning machine

    doi: 10.1007/s10115-022-01803-4

    Figure Lengend Snippet: Main differences between ELM, k GPRELM, and c GPRELM

    Article Snippet: This is caused by the mathematical property of the sigmoid activation function \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$g\left( v \right) = \frac{1}{{1 + e^{ - v} }}$$\end{document} g v = + e - v . In MATLAB, when v \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\le $$\end{document} ≤ \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$-12.206$$\end{document} - 12.206 , \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$g\left( v \right) $$\end{document} g v \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\le $$\end{document} ≤ 0.00001; when v \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\ge $$\end{document} ≥ 11.108, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$g\left( v \right) $$\end{document} g v \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\ge $$\end{document} ≥ 0.99999.

    Techniques: Transformation Assay

    Predictive performances of k GPRELM ( \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\big ( {L,\sigma _N ,\lambda ^2 }\big )=\big ({190,2^{- 20},2^{-9} }\big )$$\end{document} ( L , σ N , λ 2 ) = ( 190 , 2 - 20 , 2 - 9 ) ) and c GPRELM ( \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\big ( {L,\sigma _N}\big )=\big ({80,2^{- 20}}\big )$$\end{document} ( L , σ N ) = ( 80 , 2 - 20 ) ) on 200 SinC instances

    Journal: Knowledge and Information Systems

    Article Title: A novel correlation Gaussian process regression-based extreme learning machine

    doi: 10.1007/s10115-022-01803-4

    Figure Lengend Snippet: Predictive performances of k GPRELM ( \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\big ( {L,\sigma _N ,\lambda ^2 }\big )=\big ({190,2^{- 20},2^{-9} }\big )$$\end{document} ( L , σ N , λ 2 ) = ( 190 , 2 - 20 , 2 - 9 ) ) and c GPRELM ( \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\big ( {L,\sigma _N}\big )=\big ({80,2^{- 20}}\big )$$\end{document} ( L , σ N ) = ( 80 , 2 - 20 ) ) on 200 SinC instances

    Article Snippet: This is caused by the mathematical property of the sigmoid activation function \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$g\left( v \right) = \frac{1}{{1 + e^{ - v} }}$$\end{document} g v = + e - v . In MATLAB, when v \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\le $$\end{document} ≤ \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$-12.206$$\end{document} - 12.206 , \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$g\left( v \right) $$\end{document} g v \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\le $$\end{document} ≤ 0.00001; when v \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\ge $$\end{document} ≥ 11.108, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$g\left( v \right) $$\end{document} g v \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\ge $$\end{document} ≥ 0.99999.

    Techniques:

    Maximal training accuracies of ELM, k GPRELM, c GPRELM, and ML-ELM and corresponding testing accuracies

    Journal: Knowledge and Information Systems

    Article Title: A novel correlation Gaussian process regression-based extreme learning machine

    doi: 10.1007/s10115-022-01803-4

    Figure Lengend Snippet: Maximal training accuracies of ELM, k GPRELM, c GPRELM, and ML-ELM and corresponding testing accuracies

    Article Snippet: This is caused by the mathematical property of the sigmoid activation function \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$g\left( v \right) = \frac{1}{{1 + e^{ - v} }}$$\end{document} g v = + e - v . In MATLAB, when v \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\le $$\end{document} ≤ \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$-12.206$$\end{document} - 12.206 , \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$g\left( v \right) $$\end{document} g v \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\le $$\end{document} ≤ 0.00001; when v \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\ge $$\end{document} ≥ 11.108, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$g\left( v \right) $$\end{document} g v \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\ge $$\end{document} ≥ 0.99999.

    Techniques:

    Minimal training RMSEs of ELM, k GPRELM, c GPRELM, and ML-ELM and corresponding testing RMSEs

    Journal: Knowledge and Information Systems

    Article Title: A novel correlation Gaussian process regression-based extreme learning machine

    doi: 10.1007/s10115-022-01803-4

    Figure Lengend Snippet: Minimal training RMSEs of ELM, k GPRELM, c GPRELM, and ML-ELM and corresponding testing RMSEs

    Article Snippet: This is caused by the mathematical property of the sigmoid activation function \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$g\left( v \right) = \frac{1}{{1 + e^{ - v} }}$$\end{document} g v = + e - v . In MATLAB, when v \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\le $$\end{document} ≤ \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$-12.206$$\end{document} - 12.206 , \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$g\left( v \right) $$\end{document} g v \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\le $$\end{document} ≤ 0.00001; when v \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\ge $$\end{document} ≥ 11.108, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$g\left( v \right) $$\end{document} g v \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\ge $$\end{document} ≥ 0.99999.

    Techniques:

    Training and testing times of ELM, k GPRELM, c GPRELM, and ML-ELM on 19 classification data sets

    Journal: Knowledge and Information Systems

    Article Title: A novel correlation Gaussian process regression-based extreme learning machine

    doi: 10.1007/s10115-022-01803-4

    Figure Lengend Snippet: Training and testing times of ELM, k GPRELM, c GPRELM, and ML-ELM on 19 classification data sets

    Article Snippet: This is caused by the mathematical property of the sigmoid activation function \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$g\left( v \right) = \frac{1}{{1 + e^{ - v} }}$$\end{document} g v = + e - v . In MATLAB, when v \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\le $$\end{document} ≤ \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$-12.206$$\end{document} - 12.206 , \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$g\left( v \right) $$\end{document} g v \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\le $$\end{document} ≤ 0.00001; when v \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\ge $$\end{document} ≥ 11.108, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$g\left( v \right) $$\end{document} g v \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\ge $$\end{document} ≥ 0.99999.

    Techniques:

    Training and testing times of ELM, k GPRELM, c GPRELM, and ML-ELM on 10 regression data sets

    Journal: Knowledge and Information Systems

    Article Title: A novel correlation Gaussian process regression-based extreme learning machine

    doi: 10.1007/s10115-022-01803-4

    Figure Lengend Snippet: Training and testing times of ELM, k GPRELM, c GPRELM, and ML-ELM on 10 regression data sets

    Article Snippet: This is caused by the mathematical property of the sigmoid activation function \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$g\left( v \right) = \frac{1}{{1 + e^{ - v} }}$$\end{document} g v = + e - v . In MATLAB, when v \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\le $$\end{document} ≤ \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$-12.206$$\end{document} - 12.206 , \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$g\left( v \right) $$\end{document} g v \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\le $$\end{document} ≤ 0.00001; when v \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\ge $$\end{document} ≥ 11.108, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$g\left( v \right) $$\end{document} g v \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\ge $$\end{document} ≥ 0.99999.

    Techniques:

    Ranks of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathrm{{K}}\left( {\mathrm{{H}},\mathrm{{H}}} \right) + \sigma _N^2 \mathrm{{I}}$$\end{document} K H , H + σ N 2 I and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathrm{{C}}\left( {\mathrm{{H}},\mathrm{{H}}} \right) + \sigma _N^2 \mathrm{{I}}$$\end{document} C H , H + σ N 2 I on two representative classification data sets

    Journal: Knowledge and Information Systems

    Article Title: A novel correlation Gaussian process regression-based extreme learning machine

    doi: 10.1007/s10115-022-01803-4

    Figure Lengend Snippet: Ranks of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathrm{{K}}\left( {\mathrm{{H}},\mathrm{{H}}} \right) + \sigma _N^2 \mathrm{{I}}$$\end{document} K H , H + σ N 2 I and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathrm{{C}}\left( {\mathrm{{H}},\mathrm{{H}}} \right) + \sigma _N^2 \mathrm{{I}}$$\end{document} C H , H + σ N 2 I on two representative classification data sets

    Article Snippet: This is caused by the mathematical property of the sigmoid activation function \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$g\left( v \right) = \frac{1}{{1 + e^{ - v} }}$$\end{document} g v = + e - v . In MATLAB, when v \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\le $$\end{document} ≤ \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$-12.206$$\end{document} - 12.206 , \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$g\left( v \right) $$\end{document} g v \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\le $$\end{document} ≤ 0.00001; when v \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\ge $$\end{document} ≥ 11.108, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$g\left( v \right) $$\end{document} g v \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\ge $$\end{document} ≥ 0.99999.

    Techniques:

    Ranks of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathrm{{K}}\left( {\mathrm{{H}},\mathrm{{H}}} \right) + \sigma _N^2 \mathrm{{I}}$$\end{document} K H , H + σ N 2 I and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathrm{{C}}\left( {\mathrm{{H}},\mathrm{{H}}} \right) + \sigma _N^2 \mathrm{{I}}$$\end{document} C H , H + σ N 2 I on two representative regression data sets

    Journal: Knowledge and Information Systems

    Article Title: A novel correlation Gaussian process regression-based extreme learning machine

    doi: 10.1007/s10115-022-01803-4

    Figure Lengend Snippet: Ranks of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathrm{{K}}\left( {\mathrm{{H}},\mathrm{{H}}} \right) + \sigma _N^2 \mathrm{{I}}$$\end{document} K H , H + σ N 2 I and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathrm{{C}}\left( {\mathrm{{H}},\mathrm{{H}}} \right) + \sigma _N^2 \mathrm{{I}}$$\end{document} C H , H + σ N 2 I on two representative regression data sets

    Article Snippet: This is caused by the mathematical property of the sigmoid activation function \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$g\left( v \right) = \frac{1}{{1 + e^{ - v} }}$$\end{document} g v = + e - v . In MATLAB, when v \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\le $$\end{document} ≤ \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$-12.206$$\end{document} - 12.206 , \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$g\left( v \right) $$\end{document} g v \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\le $$\end{document} ≤ 0.00001; when v \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\ge $$\end{document} ≥ 11.108, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$g\left( v \right) $$\end{document} g v \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\ge $$\end{document} ≥ 0.99999.

    Techniques: