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\begin{tabular}{|c|c|c|c|} \hline & Model A & Model B & True value \\ \hline $\theta_0$ & $-1.68_{(0.13)}$ & $-0.97_{(0.13)}$ & -1 \\ \hline $\theta_1$ & $0.01_{(0.23)}$ & $-4.73_{(0.66)}$ & -5 \\ \hline $\theta_2$ & N/A & $4.74_{(0.63)}$ & 5 \\ \hline \end{tabular}
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\begin{tabular}{|c|c|c|c|} \hline {\bf Properties} & {\bf ANN} & {\bf NL} & {\bf Remarks} \\ \hline Neuron & \begin{tabular}[c]{@{}c@{}}Linear followed by a \\ nonlinear activation\end{tabular} & Non-linear and chaotic & \begin{tabular}[c]{@{}c@{}}Chaos allows for a rich set \\ of properties to be exploited.\end{tabula...
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\begin{tabular}{|c|c|} \hline Dataset & \begin{tabular}[c]{@{}c@{}}CCD \&\\ OCCD\end{tabular} \\ \hline \# Classes & 2 \\ \hline \begin{tabular}[c]{@{}c@{}}\# OCCD Training \\ instances per class\end{tabular} & (2513, 2527) \\ \hline \begin{tabular}[c]{@{}c@{}}\# CCD Testing\\ instances per class\end{tabular} & (2513, ...
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\begin{tabular}{|c|c|} \hline Dataset & \begin{tabular}[c]{@{}c@{}}CCD \\ \end{tabular} \\ \hline \# Classes & 2 \\ \hline \begin{tabular}[c]{@{}c@{}}\# CCD Training \\ instances per class\end{tabular} & (2513, 2527) \\ \hline \begin{tabular}[c]{@{}c@{}}\# CCD Testing\\ instances per class\end{tabular} & (1087, 1073) \...
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\begin{tabular}{|c|c|c|} \hline Experiment & Method & \begin{tabular}[c]{@{}c@{}}Macro F1-score \\ \end{tabular} \\ \hline 1 & \begin{tabular}[c]{@{}c@{}}Noisy\\ ChaosFEX\end{tabular} & 0.98 \\ \hline 2 & \begin{tabular}[c]{@{}c@{}}Noiseless\\ ChaosFEX\end{tabular} & 0.99 \\ \hline 3 & \begin{tabular}[c]{@{}c@{}}Noisy\...
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\begin{tabular}{|c|c|} \hline Dataset & \begin{tabular}[c]{@{}c@{}}OCCD \\ \end{tabular} \\ \hline \# Classes & 2 \\ \hline \begin{tabular}[c]{@{}c@{}}\# OCCD Training \\ instances per class\end{tabular} & (2513, 2527) \\ \hline \begin{tabular}[c]{@{}c@{}}\# OCCD Testing\\ instances per class\end{tabular} & (1087, 1073...
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\begin{tabular}{|c|c|} \hline Data & No. of samples \\ \hline Class-0 & 66 \\ \hline Class-1 & 240 \\ \hline Class-2 & 162 \\ \hline Class-3 & 75 \\ \hline Class-4 & 10 \\ \hline \end{tabular}
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\begin{tabular}{|c|c|} \hline Data & No. of samples \\ \hline Class-0 & 45 \\ \hline Class-1 & 339 \\ \hline \end{tabular}
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\begin{tabular}{|c|c|c|} \hline Data & Genome & No. of samples \\ \hline Class-0 & SARS-CoV-2 &4498 \\ \hline Class-1 & SARS-CoV-1 & 101 \\ \hline \end{tabular}
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\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline Folds & \multicolumn{3}{c|}{Fold - 1} & \multicolumn{3}{c|}{Fold - 2} & \multicolumn{3}{c|}{Fold - 3} & \multicolumn{3}{c|}{Fold - 4} & \multicolumn{3}{c|}{Fold - 5} \\ \hline Metric & Pr & Re & F1 & Pr & Re & F1 & Pr & Re & F1 & Pr & Re & F1 & Pr & Re & F1 \\ \...
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\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline Folds & \multicolumn{3}{c|}{Fold - 1} & \multicolumn{3}{c|}{Fold - 2} & \multicolumn{3}{c|}{Fold - 3} & \multicolumn{3}{c|}{Fold - 4} & \multicolumn{3}{c|}{Fold - 5} \\ \hline Metric & Pr & Re & F1 & Pr & Re & F1 & Pr & Re & F1 & Pr & Re & F1 & Pr & Re & F1 \\ \...
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\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline Folds & \multicolumn{3}{c|}{Fold - 1} & \multicolumn{3}{c|}{Fold - 2} & \multicolumn{3}{c|}{Fold - 3} & \multicolumn{3}{c|}{Fold - 4} & \multicolumn{3}{c|}{Fold - 5} \\ \hline Metric & Pr & Re & F1 & Pr & Re & F1 & Pr & Re & F1 & Pr & Re & F1 & Pr & Re & F1 \\ \...
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\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline Folds & \multicolumn{3}{c|}{Fold - 1} & \multicolumn{3}{c|}{Fold - 2} & \multicolumn{3}{c|}{Fold - 3} & \multicolumn{3}{c|}{Fold - 4} & \multicolumn{3}{c|}{Fold - 5} \\ \hline Metric & Pr & Re & F1 & Pr & Re & F1 & Pr & Re & F1 & Pr & Re & F1 & Pr & Re & F1 \\ \...
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\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline Folds & \multicolumn{3}{c|}{Fold - 1} & \multicolumn{3}{c|}{Fold - 2} & \multicolumn{3}{c|}{Fold - 3} & \multicolumn{3}{c|}{Fold - 4} & \multicolumn{3}{c|}{Fold - 5} \\ \hline Metric & Pr & Re & F1 & Pr & Re & F1 & Pr & Re & F1 & Pr & Re & F1 & Pr & Re & F1 \\ \...
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\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline Folds & \multicolumn{3}{c|}{Fold - 1} & \multicolumn{3}{c|}{Fold - 2} & \multicolumn{3}{c|}{Fold - 3} & \multicolumn{3}{c|}{Fold - 4} & \multicolumn{3}{c|}{Fold - 5} \\ \hline Metric & Pr & Re & F1 & Pr & Re & F1 & Pr & Re & F1 & Pr & Re & F1 & Pr & Re & F1 \\ \...
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\begin{tabular}{|l||c|c|c|c|} \hline \textbf{Error Type} & \textbf{FN} & \textbf{FP} & \textbf{Total} & \bf \%\\ \hline \textbf{Gold error} & 7 & 12 & 19 & 11.4 \\ \textbf{Gold questionable} & 16 & 14 & 30 & 18.0 \\ \textbf{Frame error} & 34 & 37 & 71 & 42.5 \\ \textbf{Role error} & 25 & 22 & 47 & 28.1 \\ \hline \textb...
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\begin{tabular}{l|c|c|c|c|c} \toprule System & IPD & FF & MM & FM & Avg\\ \midrule (1) TSB [14] & - & 9.13 / - & 9.47 / - & 12.77 / - & 11.17 / - \\ (2) & \checkmark &{\bf 10.17 /-} & 10.30 / - & 12.49 / - & 11.45 / - \\ \midrule (3) TSB (our) & - & 9.43 / 8.84 & 10.02 / 9.52 & 12.54 / 12.06 & 11.26 / 10.76\\ (4) & \ch...
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\begin{tabular}{l|c|c|c|c} \toprule System & FF & MM & FM & Avg\\ \midrule (1) TSB & 9.43 / 8.84 & 10.02 / 9.52 & 12.54 / 12.06 & 11.26 / 10.76\\ (2) TSB (MTL) & 9.66 / 9.09 & 10.33 / 9.84 & 12.75 / 12.26 & 11.51 / 11.00 \\ \midrule (3) ASA (MTL) & \bf 9.93 / 9.35 & \bf 10.63 / 10.13 & \bf 12.92 / 12.43& \bf 11.73 / 11...
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\begin{tabular}{lcc|cc} & \multicolumn{2}{c|}{LSTM} & \multicolumn{2}{c}{LSTM+RL} \\ \cline{2-5} & Short & Long & Short & Long \\ \hline Precision & 78.75 & 77.76* & 80.04 & 80.03 \\ Recall & 44.82 & 52.01* & 46.27 & 52.41* \\ F-score & 54.82 & 60.82* & 56.44 & 61.57* \\ Nb-copy & 9.25 & 11.51* & 9.94 & 12.05*\\ \hline...
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\begin{tabular}{c|c} & Avg F1 \\ \hline baseline & 0.654 \\ \hline H-IND SVM & 0.5947 \\ \hline H-IND BiLSTM & 0.6689 \\ \hline H-IND CNN & 0.6873 \\ \hline H-EXT SVM & 0.6194 \\ \hline H-EXT BiLSTM & 0.6711 \\ \hline H-EXT CNN & \textbf{0.7052} \\ \end{tabular}
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\begin{tabular}{c|ccc|ccc} & & Val Set & & & Test Set & \\ \cline{2-7} & Precision & Recall & Avg. F1 & Precision & Recall & Avg. F1 \\ \hline H-IND & 0.6712 & 0.6514 & 0.6552 & 0.7081& 0.6836& 0.6873 \\ \hline H-EXT & \textbf{0.6860} & \textbf{0.6598} & \textbf{0.6673} & \textbf{0.7204} & \textbf{0.6988} & \textbf{0.7...
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\begin{tabular}{llll|lllll} \noalign{\smallskip}\hline\noalign{\smallskip} $L^{\pi}_i$ & $L^{\pi}_f$ & Experiment & PDS\hspace {0.5cm} & $L^{\pi}_i$ & $L^{\pi}_f$ & Experiment & PDS\\ \hline $ 2^+_1$ & $0^+_1$ & 0.933~{\sl 25} & 0.933 & $0^+_\beta$ & $2^+_1$ & 0.021 $\rightarrow$ 0.055 & 0.034 & \\ $ 4^+_1$ & $2^+_1$ &...
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\begin{tabular}{cccc} \hline\noalign{\smallskip} Order&\multicolumn{3}{c}{Number of interactions IBM-1}\\[1mm] \cline{2-4}\noalign{\smallskip} & General & SU(3) DS & SU(3) PDS \\ [1mm] \hline $1$ & $2\mapsto1$ & $1\mapsto0$ & $1\mapsto0$\\ $2$ & $7\mapsto5$ & $3\mapsto2$ & $4\mapsto3$\\ $3$ & $17\mapsto10$ & $4\mapsto1...
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\begin{tabular}{lrccccc} Distribution & & $k=1$ &$k=2$ &$k=3$ &$k=4$ &$k=5$ \\ \hline $\mathrm{GvMF}_{1,3}(\alpha,\kappa)$ &$\min_{\alpha, \kappa}$(sVar) &0.00214 &0.00092 &0.00058 &0.00042 &0.00034\\ &$\max_{\alpha, \kappa}$(sVar) & 0.00388 & 0.00239 & 0.00208 & 0.00185 & 0.00152 \\ \hline $\mathrm{GvMF}_{2,3}(\alpha,...
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\begin{tabular}{l|ccc|ccc|} Type of estimates&\multicolumn{3}{c|}{Moments} & \multicolumn{3}{c}{Maximum likelihood}\\ \hline Distribution& $\mathrm{GvMF}_{1,3}$ &$\mathrm{GvMF}_{2,3}$ &$\mathrm{GvMF}_{3,3}$ & $\mathrm{GvMF}_{1,3}$ & $\mathrm{GvMF}_{2,3}$ &$\mathrm{GvMF}_{3,3}$ \\ \hline $\min_{\alpha, \kappa}$(sVar) &0...
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\begin{tabular}{cccccccccccc} & {0.1}&{0.5}&{1} &{1.5}&{2}&{2.5}& {3}&{4}&{5}&{6}&{7} \\ 0.5& 4.884& 4.626& 5.128& 5.281& 5.069& 4.960& 4.726& 4.999& 5.132& 5.360& 5.301 \\ 1 & 4.727& 4.792& 4.879& 4.736& 4.757& 4.843& 4.920& 5.217& 4.951& 5.278& 5.091 \\ 1.5& 4.935& 4.914& 4.657& 4.731& 4.745& 4.879& 4.849& 4.995& 5.1...
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\begin{tabular}{cccccccccccc} & {0.1}&{0.5}&{1} &{1.5}&{2}&{2.5}& {3}&{4}&{5}&{6}&{7}\\ 0.5 & 4.921 & 4.795 & 4.750 & 4.962 & 4.711 & 5.015 & 4.742 & 5.182 & 5.430 & 5.374 & 5.388 \\ 1 & 4.718 & 4.688 & 4.858 & 4.937 & 4.996 & 4.829 & 4.870 & 5.065 & 5.234 & 5.287 & 5.449 \\ 1.5 & 4.698 & 4.916 & 4.943 & 4.714 & 4.824 ...
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\begin{tabular}{cccccccccccc} & {0.1}&{0.5}&{1} &{1.5}&{2}&{2.5}& {3}&{4}&{5}&{6}&{7}\\ 0.5 & 4.932 & 5.095 & 4.843 & 4.863 & 5.040 & 4.995 & 5.000 & 5.477 & 5.810 & 5.219 & 5.527 \\ 1 & 4.956 & 4.793 & 4.636 & 4.912 & 4.896 & 4.873 & 4.959 & 5.251 & 5.196 & 5.565 & 5.917 \\ 1.5 & 4.620 & 4.873 & 4.781 & 4.892 & 4.839 ...
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\begin{tabular}{lccccccc} & & \multicolumn{6}{c}{\textbf{Test data sets}} \\ \multirow{7}{*}{{\rotatebox[origin=c]{90}{\textbf{Training data sets}}}} & \multicolumn{1}{c}{} & \multicolumn{1}{c}{[syn]} & \multicolumn{1}{c}{[poi]} & \multicolumn{1}{c}{[micr]} & \multicolumn{1}{c}{[micrsm]} & \multicolumn{1}{c}{[nat]} & \...
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\begin{tabular}{l|cc|cc} \hline &\multicolumn{2}{c|}{\textbf{Bert-Ranker}} &\multicolumn{2}{c}{\textbf{DialoGPT}}\\ \cline{2-5} &Pearson & Spearman & Pearson & Spearman\\\cline{1-5} ROUGE &0.157 &0.121 \small{\textit{*}} &0.084 \small{\textit{*}}&0.098 \small{\textit{*}}\\ METEOR &0.070 \small{\textit{*}} &0.088 \small...
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\begin{tabular}{lccccc} \toprule & Round 1 & Round 2 & Round 3 & Round 4 & Round 5 \\ \midrule With supervision & $0.61$ & $0.57$ & $0.87$ & $1.00$ & $0.09$ \\ Without supervision & $0.17$ & $0.02$ & $0.16$ & $0.01$ & $0.08$ \\ \bottomrule \end{tabular}
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\begin{tabular}{lrrrrr} \toprule & \multicolumn{3}{c}{WSC} & \multicolumn{2}{c}{WinoGrande} \\ Formalization & \multicolumn{1}{l}{Test} & \multicolumn{1}{l}{Std} & \multicolumn{1}{l}{Kurt} & \multicolumn{1}{l}{Std} & \multicolumn{1}{l}{Kurt} \\ \midrule MC-MLM & 86 & 2 & 3 & 3 & 13\\ MC-Sent & 77 & 7 & -1 & 5 & 4 \\ MC...
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\begin{tabular}{llll} BNN & & & Binarized Neural Network \\ CNN & & & Convolutional Neural Network \\ cDeepArch & & & compact Deep neural network Architecture \\ DeepIoT & & & Deep neural network for IoT \\ DNN & & & Deep Neural Network \\ EIE & & & Energy efficient Inference Engine \\ EvoNAS & & & Evolutionary Network...
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\begin{tabular}{cccc} \hline Galaxy & RA (J2000) & Dec (J2000) & Exposure Time (s) \\ \hline \multirow{4}{*}{NGC 6946} & 20:34:54.04 & +60:08:04.8 & 3 $\times$ 800 \\ & 20:34:47.25 & +60:10:23.8 & 3 $\times$ 800 \\ & 20:34:47.13 & +60:08:48.4 & 3 $\times$ 800 \\ & 20:34:56.34 & +60:10:01.6 & 3 $\times$ 800 \\ \hline \e...
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\begin{tabular}{lc} \hline Parameters & Value \\ \hline Scale length (I - band)$^a$ & $95.0$" $\pm 5$" \\ Scale length (3.6 $\rm \mu$m band)$^b$ & $92.0$" $\pm 1$" \\ $\mu_{0}$[I] & 19.16 mag/arcsec$^{2}$ \\ $\mu_{0}$[3.6] & 16.74 mag/arcsec$^{2}$ \\ Scale height (I - band)& $376 \pm 75$ pc \\ Distance$^c$ & 6.1 $\pm$ ...
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\begin{tabular}{cccccc} \hline \multicolumn{3}{c}{pISO}&\multicolumn{3}{c}{NFW}\\ $R_{C}$&$\rho$&$\chi_{red}^{2}$&C&$R_{200}$&$\chi_{red}^{2}$\\ (kpc) & ($10^{-3}$ M$_\odot$pc$^{-3}$) & & &(kpc) & \\ \hline 2.8 $\pm$ 0.2&57.6 $\pm$ 8&0.93&10.8 $\pm$ 1&169.3 $\pm$ 7&1.1\\ \hline \end{tabular}
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\begin{tabular}{ccccc} \hline Film & Targets & Pulse width ($\mu$s) & Deposition rate (nm/s) & Dopant cation ratio\\ \hline I & Ta & 2 & 0.0212 $\pm$ 0.0001 & - \\ II & Al - Ta & 51 - 2 & 0.0271 $\pm$ 0.0001 & 0.17 $\pm$ 0.01\\ III & Si - Ta & 72 - 2 & 0.0246 $\pm$ 0.0001 & 0.26 $\pm$ 0.01\\ IV & Sc - Ta & 45 - 2 & 0.0...
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\begin{tabular}{ccc} \hline \multirow{2}{*}{Oxide} & \multicolumn{2}{c}{Formation enthalpy (kJ/mol)}\\ \cline{2-3} & Calculated at 0K & Experimental at 298K\\ \hline Ta$_2$O$_5$ & -2264 & -2046.0 \\ Sc$_2$O$_3$ & -1919 & -1908.8 \\ Nb$_2$O$_5$ & -2057 & -1899.5 \\ Al$_2$O$_3$ & -1657 & -1675.7 \\ HfO$_2$ & -1167 & -114...
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\begin{tabular}{|l|c|c|c|c|} \hline \multicolumn{1}{|c|}{\textbf{Feature represent.}} & \textbf{Holistic learning} & \textbf{Local handcraft} & \textbf{Shallow learning} & \textbf{Deep learning} \\ \hline \textbf{Introduction (years)} & 1990s & 2000s & 2010s & 2012/2014 \\ \hline \textbf{Issues} & \begin{tabular}[c]{@{...
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\begin{tabular}{l|c|c} \textbf{Model} & \textbf{20170512-110547} & \textbf{20180408-102900}\\ \textbf{Dataset} & MS-Celeb-1M & CASIA-WebFace \\ \textbf{Embedding size} & 128D & 512D\\ \textbf{Image stand.} & Per image & Fixed\\ \textbf{Data augment.} & Random crop/flip & Random flip\\ \textbf{Optimizer }& RMSProp & Ada...
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\begin{tabular}{|c|c|c|c|c|} \hline \multicolumn{5}{|c|}{\textbf{EER}} \\ \hline & \textbf{Initial Gallery} & \textbf{Without update} & \textbf{Traditional self-update} & \textbf{K-means} \\ \hline {\textbf{FaceNet 128D}} & {3.51\%} & {2.54\% $\pm$ (0.52)} & {2.70\% $\pm$ (0.60)} & {\textbf{0.62\% $\pm$ (0.33)}} \\ \hl...
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\begin{tabular}{ccc} \hline \textbf{Variable} & \textbf{Description} & \textbf{Dimension} \\ \hline $\delta$ & beam displacement & $l$ \\ $x$ & beam length coordinate & $l$\\ $t$ & time & $t$\\ $p$ & pressure & $m*l^{-1}*t^{-2}$\\ $U_c$ & characteristic velocity & $l*t^{-1}$ \\ $k_0$ & flexure stiffness & $m*t^{-2}$\\ ...
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\begin{tabular}{ccc} \hline \textbf{Variable} & \textbf{Expression} &\textbf{Description} \\ \hline $\hat{m}_{\mathrm{bc}}$ & $\frac{1 }{ \rho_f L^2 } \frac{m_0}{b} $ & boundary mass ratio \\ $\hat{k}_{\mathrm{bc}}$ & $ \frac{ 1 }{\rho_f U_c} \frac{k_0}{b}$ & boundary stiffness ratio \\ $\hat{c}_{\mathrm{bc}} $ & $\fra...
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\begin{tabular}{cccc} \hline \textbf{Variable} & \textbf{Flex. 1} & \textbf{Flex. 2} & \textbf{Flex. 3} \\ \hline $\tau_S$ [Nm] & 1.2 & 2 & 0.8 \\ $k_0$ [N/m] & 3.73E4 & 4.12E4 & 2.16E4 \\ $m_0$ [kg] & 0.0274 & 0.0204 & 0.0366 \\ $c_0$ [kg/s] & 0.135 & 0.314 & 0.281 \\ \hline \end{tabular}
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\begin{tabular}{ccccc} \hline \textbf{Variables} & \textbf{Flex. 1}& \textbf{Flex. 2} & \textbf{Flex. 3} & \textbf{Description} \\ \hline $ Q_{\mathrm{cr}}$ [L/min] & 208 & 376 & 410 & critical flow rate \\ $ Q_{\mathrm{r}}$ [L/min] & 179 & 334 & 73 & fold flow rate \\ $ f_{\mathrm{cr}}$ [Hz] & 186 & 226 & 120 & critic...
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\begin{tabular}{ccc} \hline \textbf{Variable} & \textbf{Value} & \textbf{Units} \\ \hline $ L_1 $ & 70 & mm \\ $ L_2 $ & 5 & mm \\ $ L_3 $ & 19.4 & mm \\ $ L $ & 40.7 & mm \\ $ h_1 $ & 9.8 & mm \\ $ h_2 $ & 2.3 & mm \\ $ h_3 $ & 9 & mm \\ $\bar{h}$ & 0.62 & mm \\ $ b $ & 14 & mm \\ $ b_1 $ & 16.5 & mm \\ $ h_b $ & 0.7 ...
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\begin{tabular}{cccc} \hline \textbf{Variable} & Aluminum & Steel & PZT \\ \hline Density [kg/m$^3$] & 2700 & 8000 & 7500 \\ Young's modulus [GPa] & 68.9 & 193 & 64.5 \\ Poisson's ratio [ND] & 0.33 & 0.29 & 0.31 \\ \hline \end{tabular}
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\begin{tabular}{cccc} \hline \textbf{Variable} & \textbf{Value} & \textbf{Units} & \textbf{Description} \\ \hline $ C_p^* $ & 3.6 & $\mu$F & stack capacitance \\ $ K_s $ & 2.8E7 & N/m & stack stiffness in 33 mode \\ $ L_s\times W_s \times H_s $ & 5x5x36 & mm & dimensions \\ $ R_e $ & 68 & k$\Omega$ & circuit resistor \...
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\begin{tabular}{cccc} \hline $\bar{a}$ [mm] & \textbf{Flex. 1} $F_a$ [N] & \textbf{Flex. 2} $F_a$ [N] & \textbf{Flex 3} $F_a$ [N] \\ \hline 0 & 0 & 0 & 0 \\ 0.127 & 4.86 & 5.40 & 2.80 \\ 0.254 & 9.12 & 10.04 & 5.44 \\ 0.381 & 14.44 & 16.00 & 8.24 \\ \hline \hline $k_0$ [N/m] & 3.73E4 & 4.12E4 & 2.16E4 \\ \hline \end{ta...
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\begin{tabular}{cccc} \hline \textbf{Variable} & \textbf{Flex. 1} & \textbf{Flex. 2} & \textbf{Flex. 3} \\ \hline $\omega$ - mean [rad/s] & 1167.6 & 1423.1 & 767.7 \\ $\omega$ - STD [rad/s] & 0.348 & 4.055 & 18.821 \\ $\zeta$ - mean [1/s] & -2.471 & -7.718 & -3.834 \\ $\zeta$ - STD [1/s] & 0.071 & 0.076 & 0.271 \\ \hli...
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\begin{tabular}{ccccc} \hline \textbf{Critical Properties } & \textbf{Flex. 1 }& \textbf{Flex. 2} & \textbf{Flex. 3} & \textbf{Description} \\ \hline $ Q_{\mathrm{cr}}$ [L/min] & 208 & 376 & 410 & critical flow rate \\ $ \mathcal{M}_{\mathrm{t}}$ & 0.53 & 1 & 1 & throat Mach number est. \\ \hline \end{tabular}
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\begin{tabular}{cccccc} \hline $\beta_1 L$ &$\beta_2 L$ & $\beta_3 L$ & $\beta_4 L$ & $\beta_5 L$ & $\beta_6 L$ \\ \hline 1.8751 & 4.6941 & 7.8548 & 10.9955& 14.1372 & 17.2788 \\ \hline \end{tabular}
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\begin{tabular}{ll} \hline Reynolds number Re $={1}/\nu$ & 1000 \\ \hline Number of cells (x,y) & $64\times 64$ and $512 \times 512$ \\ Domain (x,y) & 1,1 \\ End time $t_{end}$ & 0.1 \\ Time step $\Delta t$ & Various \\ Max CFL & 0.5 \\ Spatial scheme convection & Midpoint \\ Temporal scheme & Various \\ Inner (PISO) i...
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\begin{tabular}{cccccc} \toprule Instance & kroA100 & kroA150 & kroA200 & kroB150 & kroC100\\ \midrule kroA100 & \cellcolor{gray!25} & \textbf{80\%} & \textbf{66\%} & 1\% & 2\%\\ kroA150 & \cellcolor{gray!25} & \cellcolor{gray!25} & \textbf{57\%} & 1\% & 1\%\\ kroA200 & \cellcolor{gray!25} & \cellcolor{gray!25} & \cell...
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\begin{tabular}{cccc} \toprule & Friedman's Test & \multicolumn{2}{c}{Holm's Post Hoc}\\ \midrule Algorithm & Rank & Unadjusted $p$ & Adjusted $p$\\ \midrule MFEA & 3.95 &0&0\\ MFEA-II & 2.90 &0.000003 &0.000007\\ MFCGA & 2.15 & 0.0004849 & 0.004849\\ AT-MFCGA& 1.00 & -- & --\\ \bottomrule \end{tabular}
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\begin{tabular}{cccccc} \toprule Instance & kroA100 & kroA150 & kroA200 & kroB150 & kroC100\\ \midrule kroA100 & \cellcolor{gray!25} & \cellcolor{cyan!60}\textbf{32\%} & 5\% & 0\% & 0\%\\ kroA150 & \cellcolor{gray!25} & \cellcolor{gray!25} & 3\% & 0\% & 0\%\\ kroA200 & \cellcolor{gray!25} & \cellcolor{gray!25} & \cellc...
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\begin{tabular}{cccccc} \toprule Original & QR & Human & F1 $>$ 0 & F1 $\ge$ 0.5 & F1 = 1 \\ \midrule $\times$ & $\times$ & $\times$ & 847 (136) & 1855 (235) & 2701 (332) \\ $\checkmark$ & $\times$ & $\times$ & 174 & 193 & 181 \\ $\times$ & $\checkmark$ & $\times$ & 19 & 35 (2) & 40 (1) \\ $\checkmark$ & $\checkmark$ &...
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\begin{tabular}{lcccc} \toprule & P@1 & \multicolumn{3}{c}{NDCG@3} \\ \multicolumn{1}{c}{Questions} & = 1 & $>$ 0 & $\geq$ 0.5 & = 1 \\ \midrule All & 0.45 & 0.55 & 0.38 & 0.21 \\ Human != Original & 0.21 & 0.34 & 0.13 & 0 \\ \bottomrule \end{tabular}
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\begin{tabular}{lccc} \toprule \multicolumn{1}{c}{Questions} & F1 $>$ 0 & F1 $\ge$ 0.5 & F1 = 1 \\ \midrule All & 0.92 & 0.82 & 0.80 \\ Human != Original & 0.91 & 0.79 & 0.77 \\ \bottomrule \end{tabular}
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\begin{tabular}{lcc} \toprule Inference Scheme & Acc. Rate & Mean ESS \\ \midrule Full HMC & $0.63 \pm 0.06$ & $6.92$\\ Naive Split HMC & $0.59 \pm 0.05$ & $6.77$ \\ Randomised Split HMC & $0.73 \pm 0.07$ & $7.52$ \\ Novel Sym. Split HMC & $\mathbf{0.88\pm 0.04}$ & $\mathbf{7.72}$ \\ \bottomrule \end{tabular}
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\begin{tabular}{lccc} \toprule Inference Scheme & Acc. Rate & Mean ESS & Accuracy \\ \midrule Full & $0.76 \pm 0.06$ & $6.26$ & $89.8 \pm 0.2$\\ Naive Split & $0.72\pm 0.11$ & $6.21$ & $89.8 \pm 0.2$\\ Randomised Split & $0.66 \pm 0.06$ & $6.24$ & $89.8\pm 0.2$ \\ Novel Sym. Split & $\mathbf{0.89 \pm 0.02}$ & $\mathbf{...
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\begin{tabular}{lccc} \toprule Inference Scheme & Acc. Rate & Mean ESS & Accuracy\\ \midrule Full & $0.74 \pm 0.02$ & $73.19$ & $43.2 \pm 0.6$ \\ Naive Split & $0.74 \pm 0.02$ & $73.90$ & $43.2 \pm 0.6$ \\ Randomised Split & $0.60 \pm 0.02$ & $60.37$ & $43.1 \pm 0.5$\\ Novel Sym. Split & $\mathbf{0.83\pm 0.01}$ & $\mat...
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\begin{tabular}{lccc} \toprule Method & Accuracy & NLL & Brier Score \\ \midrule SGD & $80.3 \pm 3.1$ & $ 0.72 \pm 0.15$ & $0.297 \pm 0.052$ \\ SGLD & $78.6 \pm 3.3$ & $0.69 \pm 0.10$ & $0.307 \pm 0.043$ \\ SGHMC & $82.6 \pm 3.1$ & $0.59 \pm 0.11$ & $0.252 \pm 0.042$ \\ NSS HMC & $\mathbf{84.4 \pm 2.1}$ & $\mathbf{0.51...
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\begin{tabular}{l|ccccc} \toprule \textbf{Statistic}& Table-QM & List-QM & DTable-QM & Table-Pretrain& List-Pretrain \\ \midrule Dataset size& 34,276 & 62,581 & 2,457& 6,994,996 & 100,954,174 \\ Avg. query length & 28.0 & 30.5 & 28.3 & 27.9 & 30.5 \\ Avg. title length & 134.1 & 34.9 & 124.3 & 103.4 & 30.5 \\ Avg. \# of...
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\begin{tabular}{l|ccc} \toprule \bf Pre-training Strategy & \bf Table-QM & \bf List-QM & \bf DTable-QM \\ \hline None & 77.41 & 76.79 & 69.22 \\ \hline WCM & 77.66 (0.25 $\uparrow$) & 77.29 (0.50 $\uparrow$) & 70.98 (1.76 $\uparrow$) \\ NPO & 78.54 (1.13 $\uparrow$) & 77.42 (0.63 $\uparrow$) & 71.06 (1.84 $\uparrow$) \...
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\begin{tabular}{lcccc} \hline \hline Substrate & Configuration & $\alpha_{\text {Mo} }$ & $E_{\text {valley }}(meV)$ & $B_{\text {v} } (T) $ \\ \hline & S1 & 0.023 & 4.67 & 40.34 \\ Eu-octopolar & S2 & 0.025 & 7.56 & 65.30 \\ & S3 & 0.009 & 0.32 & 2.76 \\ \hline & S1 & 0.042 & 25.62 & 221.31 \\ O-octopolar & S2 & 0.069...
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\begin{tabular}{ccccc} \bottomrule Type & Model & Accuracy & F1 score & AUC-ROC \\ \bottomrule & All regular news & 60.00 & — & 50.00 \\ \hline \multirow{4}{*}{Baselines} & ResNet101 & 73.54 & 65.26 & 80.28 \\ & BERT\textsubscript{BASE} & 91.33 & 88.64 & 96.77 \\ & Simple fusion (average) & 92.53 & 90.44 & 96.74 \\ & S...
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\begin{tabular}{llll}\toprule &&\textbf{Circle} & \textbf{Linear}\\\midrule \textbf{EG-LF-MCMC} & \textit{n simulations} & 12,033,424 & 12,652,661\\ & \textit{n training epochs} & 76 & 37\\ \textbf{ABC} & \textit{n simulations} & 134,582,382 & 298,734,182\\ & $\epsilon$ & 100 & 200 \\\bottomrule \end{tabular}
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\begin{tabular}{cccc} \toprule Folds & Training instances & Testing instances & NRMS errors(\%) \\ \midrule Fold 1 & 4220 & 485 & 9.39 \\ Fold 2 & 4214 & 491 & 7.13 \\ Fold 3 & 4228 & 477 & 9.20 \\ Fold 4 & 4228 & 477 & 10.49 \\ Fold 5 & 4234 & 471 & 10.47 \\ Fold 6 & 4246 & 459 & 5.16 \\ Fold 7 & 4230 & 475 & 5.96 \\ ...
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\begin{tabular}{|c||c|c|c|c|} \hline \hline \textbf{$Kernel$} & \textbf{Normal} & \textbf{Exponential} & \textbf{Cauchy} & \textbf{1.5-Stable} \\ \hline Gauss w/$h_0$ & 0.0013 & 0.157& 0.0279 & 0.0197 \\ Gauss w/$h_i$ & 0.0012 & 0.135 & 0.0243 & 0.0118 \\ Gauss iter. & 0.0016 & 0.127 & 0.0231 & 0.0100 \\ $\bar f$ iter....
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\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|} \hline Dataset & \# Problems & \# Templates & \# Sentences & \# Words &\# Avg EL & \# Avg SNI & \# Avg Constants & \# Avg Ops & Problem types \\ \hline Alg514 & 514 & 28 & 1.62k & 19.3k &9.67 &3.54 & 0.44 &5.69 & algebra, linear \\ \hline Dolphin1878 & 1,878 & 1,183 & 3.30k & 41.4...
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\begin{tabular}{l|ccc} \hline \hline & V & Nb & Al \\ \hline $\mathcal{Z}^{\rm SF}(0)$ &0.177&$4.68\times10^{-2}$&$2.40\times 10^{-2}$ \\ $N(0)\mathcal{K}^{\rm SF}(0,0)$ &0.699&0.198&$6.92\times 10^{-2}$ \\ \hline\hline \end{tabular}
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\begin{tabular}{|r|rrrrr|} \toprule[1pt] Models & KIF & JCIS & BCOR-SIS & IP-SIS & SODA \\ \midrule[1pt] \midrule[1pt] Model 1 & 1& 0.05 & 1 & 1 & 0.66 \\ Model 2 & 0.89 & 0.90 & 0.99 & 0.75 & 1 \\ Model 3 & 0.98 & 0.98 & 0.17 & 0.73 & 0.21 \\ Model 4 & 1 & 1 & 1 & 1 & 0 \\ \bottomrule[1pt] \end{tabular}
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\begin{tabular}{|r|rrrrr|} \toprule[1pt] Models & KIF & JCIS & BCOR-SIS & IP-SIS & SODA \\ \midrule[1pt] \midrule[1pt] Model 1 & 1 & 0.01 & 1 & 0.78 & 1 \\ Model 2 & 0.89 & 0.01 & 1 & 0.56 & 0.97 \\ Model 3 & 0.98 & 0.02 & 0.11 & 0.18 & 0.10 \\ Model 4 & 1 & 0.09 & 1 & 0.52 & 0 \\ \bottomrule[1pt] \end{tabular}
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\begin{tabular}{|rrrr|} \toprule[1pt] Couples & KIF & JCIS & SODA \\ \midrule[1pt] \midrule[1pt] $(X_1,X_2)$ & 0.9 & 0.71 & 0\\ $(X_3,X_4)$ & 1 & 1 & 0\\ \bottomrule[1pt] \end{tabular}
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\begin{tabular}{|rrrr|} \toprule[1pt] Couples & KIF & JCIS & SODA\\ \midrule[1pt] \midrule[1pt] $(X_1,X_2)$ & 0.89 & 0.71 & 0\\ $(X_3,X_4)$ & 0 & 0 & 0\\ \bottomrule[1pt] \end{tabular}
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\begin{tabular}{|c|c|c|c|c|} \toprule[1pt] \multirow{2}{*}{} & \multicolumn{4}{c|}{j} \\ \cmidrule[1pt](r){2-5} $\theta_{kj}$ & 1 & 2 & 3 & 4 \\ \midrule[1pt] \midrule[1pt] $k = 0$ & 0.3 & 0.4 & 0.5 & 0.3 \\ $k = 1$ & 0.95 & 0.9 & 0.9 & 0.95 \\ \bottomrule[1pt] \end{tabular}
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\begin{tabular}{|r|r|rrrr|} \toprule[1pt] Proportions & Couples & KIF & JCIS & PC-SIS & SODA \\ \midrule[1pt] \midrule[1pt] \multirow{4}{*}{$\pi_0 = 0.5$ \& $\pi_1 = 0.5$} & ($X_1, X_2$) & 1 & 0.18 & 0.61 & 0.26\\ & ($X_3, X_4$) & 1 & 0.43 & 0.80 & 0.08\\ & ($X_5, X_6$) & 0.98 & 0.49 & 0.78 & 0.04\\ & ($X_7, X_8$) & 1 ...
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\begin{tabular}{|r|r|rrrrrr|} \toprule[1pt] data & \multicolumn{7}{c|}{Couples and their correspondent \emph{p-values}} \\ \midrule[1pt] \midrule[1pt] \multirow{2}{*}{Alon} & \emph{Couple} & (265 , 1129) & (548 , 1129) & (893 , 1129) & (704 , 859) & (4 , 338) & (324 , 859) \\ \cmidrule[1pt](r){2-8} & \emph{p-value} & 0...
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\begin{tabular}{llcccc} \hline \multicolumn{2}{c}{Models} & \multicolumn{1}{l}{Typical CPH} & \multicolumn{1}{l}{Individual FCPH} & \multicolumn{1}{l}{Group FCPH} & \multicolumn{1}{l}{Intersectional FCPH} \\ \hline Tuning & $\lambda$ & X & 25 & 1 & 1 \\ \hline \multirow{4}{*}{Performance} & C-index & \textbf{0.6648} & ...
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\begin{tabular}{llcccc} \hline \multicolumn{2}{c}{Models} & \multicolumn{1}{l}{Typical CPH} & \multicolumn{1}{l}{Individual FCPH} & \multicolumn{1}{l}{Group FCPH} & \multicolumn{1}{l}{Intersectional FCPH} \\ \hline Tuning & $\lambda$ & X & 5 & 0.7 & 0.4 \\ \hline \multirow{4}{*}{Performance} & C-index & \textbf{0.8030}...
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\begin{tabular}{lcccccc} \hline \multirow{2}{*}{Models} & \multicolumn{3}{c}{Train Set} & \multicolumn{3}{c}{Test Set} \\ & C-index & Brier Score & AUC & C-index & Brier Score & AUC \\ \hline Typical CPH & \textbf{0.6859} & \textbf{0.1530} & \textbf{0.7178} & \textbf{0.6648} & 0.1877 & 0.6872 \\ Individual FCPH & 0.660...
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\begin{tabular}{lcccccc} \hline \multirow{2}{*}{Models} & \multicolumn{3}{c}{Train Set} & \multicolumn{3}{c}{Test Set} \\ & C-index & Brier Score & AUC & C-index & Brier Score & AUC \\ \hline Typical CPH & \textbf{0.7944} & \textbf{0.1298} & \textbf{0.8149} & \textbf{0.8030} & 0.2244 & 0.8015 \\ Individual FCPH & 0.774...
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\begin{tabular}{l|cccccccccc} \hline Model & \bf SentLen & \bf WC & \bf TreeDepth & \bf TopConst & \bf BShift & \bf Tense & \bf SubjNum & \bf ObjNum & \bf SOMO & \bf CoordInv \\ \hline \hline \multicolumn{11}{c}{\textit{ Baseline Representations}} \\\hline \hline Majority vote &20.0 &0.5 &17.9 &5.0 &50.0 &50.0 &50.0 &5...
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\begin{tabular}{ccccc} \hline \bf Model & \bf CCAT10 & \bf CCAT50 & \bf BLOGS10 & \bf BLOGS50 \\ \hline \hline \multicolumn{5}{c}{\textit{ Baselines}} \\\hline Continuous n-gram & 74.8 & 72.6 & 61.3 & 52.8 \\ N-gram CNN & 86.8& 76.5& 63.7 & 53.0 \\ Syntax-CNN & 88.2 &81.0 &64.1 & 56.7 \\ Lexical-HAN &86.0 & 79.5 &70.8 ...
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\begin{tabular}{|l|r|r|} \hline \textbf{Metric} & \multicolumn{1}{l|}{\textbf{Pearson}} & \multicolumn{1}{l|}{\textbf{Spearman}} \\ \hline Original & 0.372 & 0.343 \\ \hline Logits & 0.367 & 0.349 \\ \hline Probabilities & 0.370 & 0.344 \\ \hline Log Probs & 0.317 & 0.287 \\ \hline \end{tabular}
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\begin{tabular}{|l|r|r|} \hline \textbf{Metric} & \multicolumn{1}{l|}{\textbf{Pearson}} & \multicolumn{1}{l|}{\textbf{Spearman}} \\ \hline Original & 0.183 & 0.174 \\ \hline Logits & 0.222 & 0.189 \\ \hline Probabilities & 0.215 & 0.199 \\ \hline Log Prob & 0.178 & 0.168 \\ \hline \end{tabular}
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\begin{tabular}{|c|c||c|c|} \hline ${\cal O}_{\substack{ll \\ prst}}$ & $(\bar{l}_p\gamma^{\mu} P_L l_r) (\bar{l}_s\gamma_{\mu} P_L l_t)$ & ${\cal O}_{\substack{le\\prst}}$ & $(\bar{l}_p\gamma^{\mu}P_L l_r) (\bar{l}_s\gamma_{\mu} P_R l_t)$ \\ ${\cal O}_{\substack{ee\\prst}}$ & $(\bar{l}_p\gamma^{\mu} P_Rl_r)(\bar{l}_s\...
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\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|} \hline $a_{ll}$ & $a_{ee}$ & $a_{le}$ & $a_{Zl}^L$ & $a_{Zl}^R$ & $a_{\gamma\mu}$&$a^L_{Z\nu}$ &$a_{Zu}^L$&$a_{Zu}^R$&$a_{Zd}^L$&$a_{Zd}^R$ \\ \hline 0.025 & 0.016 & 0.009 & 4.2 & -3.3&4.0 &-0.40&-0.39&-0.071&-0.87&-0.027 \\ \hline \end{tabular}
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\begin{tabular}{|c|c||c|c|} \hline $|C_{\phi D}|$ & $<0.0012$&$|C_{\phi l}^{(1)}|$&$<0.0006$ \\ $|C_{\phi WB}|$ & $<0.0017$ &$|C_{\phi l}^{(3)}|$&$<0.0029$ \\ $|C_{ll}|$ & $<0.0006$& $|C_{\phi e}|$&$<0.0003$ \\ $|C_{\phi q}^{(1)}|$ & $<0.0023$& $|C_{\phi q}^{(3)}|$&$<0.0005$ \\ $|C_{\phi u}|$ & $<0.0073$& $|C_{\phi d}|...
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\begin{tabular}{|c||c|c|} \hline & Current ($Z\to 4\mu$) & HL-LHC ($Z\to 4\mu$) \\ \hline $|C_{\substack{ll \\ 2222}}|$ & $<10.5 $ &$< 1.0 $ \\ $|C_{\substack{ee \\ 2222}}| $ & $<16.9 $ &$< 1.6 $ \\ $|C_{\substack{le \\ 2222}}| $ & $<28.8 $ &$< 2.7 $ \\ \hline \end{tabular}
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\begin{tabular}{c||c|c|c|c|c} ($l_1$, $l_3$) & $\cos\theta^*$ & $\cos\theta_1$ & $\cos\theta_2$ & $\Phi_1$ & $\Phi$ \\ \hline\hline $C_{\substack{ll\\2222}}$ & 39.8 & \textcolor{red}{73.3} & 18.1 & 9.7 & 15.2 \\ $C_{\substack{ee\\2222}}$ & 37.3 & 41.6 & 14.0 & 17.0 & 16.9 \\ $C_{\substack{le\\2222}}$ & 16.0 & \textcolo...
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\begin{tabular}{c||c|c|c|c|c} ($l_1$, $l_4$) & $\cos\theta^*$ & $\cos\theta_1$ & $\cos\theta_2$ & $\Phi_1$ & $\Phi$ \\ \hline\hline $C_{\substack{ll\\2222}}$ & 24.6 & 77.8 & 61.6 & 24.1 & 65.3 \\ $C_{\overset{22}{2222}}$ & 11.6 & 44.9 & \textcolor{red}{102.1} & 21.0 & 69.6 \\ $C_{\substack{le\\2222}}$ & 6.6 & \textcolo...
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\begin{tabular}{c|c|c|c|c|c} \cline{1-6} \rule{0pt}{2.6ex} \textbf{Emb} & \textbf{T Len} & \textbf{T Strides}& \textbf{T Intvl} & P \#1 & P \#2 \\ \cline{1-6} \rule{0pt}{2.6ex} 64 & 64 & 1,2,3 & 1 & 58.3 & 44.2 \\ 128 & 64 & 1,2,3 & 1 & 46.7 & 36.1 \\ 256 & 64 & 1,2,3 & 1 & 43.1 & 33.8 \\ 512 & 64 & 1,2,3 & 1 & 42.6 & ...
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\begin{tabular}{c|c|c} \cline{1-3} \rule{0pt}{2.3ex} \textbf{Method} & \textit{Protocol \#1} & \textit{Protocol \#2} \\ \cline{1-3} \rule{0pt}{2.6ex} Baseline (no ISO) & 41.2 & 31.5 \\ Constant & 45.9 & 34.0\\ Confidence & 43.0 & 32.7 \\ Calibrated & 40.8 & 31.2 \\ \cline{1-3} $th=0.3$ & 40.8 & 31.2 \\ $th=0.5$ & 40.5 ...
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\begin{tabular}{c|c|c} \cline{1-3} \rule{0pt}{2.6ex} \textbf{Method} & \textit{Protocol \#1} & \textit{Protocol \#2} \\ \cline{1-3} \rule{0pt}{2.6ex} Base & 51.7 & 40.5 \\ +embedding & 51.0 & 40.1 \\ +multi-stride TCN & 48.6 & 37.6 \\ +Multi-view loss & 47.3 & 36.9 \\ +Spatial KCS & 44.9 & 34.0 \\ +Temporal KCS & 41.2 ...
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\begin{tabular}{c|c|c} singularity type & when $a=1$ & when $a>1$ \\ \hline e3 & $n=1$ $\implies$ $i=1$, $n=3$ $\implies$ $i=2$ & *** \\ \hline e4 & not possible & not possible \\ \hline e5 & $n=1$ $\implies$ $i=2$, $n=2$ $\implies$ $i=3$ & $a=2$, $n=1$ $\implies$ $i=1$ \\ \hline e6 & $i = 3$ & not possible \\ \hline e...
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\begin{tabular}{c|c|c|c} singularity type & $a$ value & $n$ value & $i$ value \\ \hline \multirow{6}{*}{e1} & \multirow{2}{*}{1} & 1,2 & $i=1$ or $2$ ($r \geq 4$) \\ \cline{3-4} & & 4 & $i=2$ \\ \cline{2-4} & \multirow{2}{*}{2} & 1 & $i=1$ ($r \geq 9$) \\ \cline{3-4} & & 2 & $i=1$ or $2$ ($r \geq 5$) \\ \cline{2-4} & \...
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\begin{tabular}{c|c|c|c|c} $r$ value & $a$ value & $n$ value & $d(i,j)$ & intersection number \\ \hline \multirow{2}{*}{3} & \multirow{2}{*}{1} & 1 & $d(-1,0) = 3$ & 4/3 \\ \cline{3-5} & & 2 & $d(-1,0) = 2$ & 2/3 \\ \cline{1-5} \multirow{1}{*}{5} & 2 & 1 & $d(-1,0) = 3$ & 8/5 \\ \cline{1-5} 6 & 4 & 2 & $d(-1,0) = 3$ & ...
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\begin{tabular}{|c|l|c|} \hline \textbf{Parameter} &\textbf{Description}& \textbf{Value}\\ \hline $T$ & Terminal time & 10 \\ $p$ & selling price of one unit of fish & 2\\ $q$ & ``catchability" of the fish & 2\\ $c$ & cost of harvesting one unit of fish & 1\\ $M$ & Maximum harvest effort & 1\\ $x_0$& initial population...