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\begin{tikzpicture}[baseline=0,auto,node distance=2cm,thick,main node/.style={circle,fill=blue!20,draw,font=\sffamily\Large\bfseries}, scale=2, pin distance=1.5cm] \tikzset{every pin edge/.append style={black, thick}} \node[main node,pin=90:{$p_4,+$},pin=135:{$p_3,+$},pin=-135:{$p_2,-$},pin=-90:{$p_1,-$}] (F) at (0,0) {$\mathcal{F}_{\phantom{c}}$}; \node[main node,pin=90:{$p_4,-$},pin=45:{$p_3,-$},pin=-45:{$p_2,+$},pin=-90:{$p_1,+$}] (Fc) at (2,0) {$\mathcal{F}_c$}; \path [-] (F) edge node[below] {\scalebox{0.85}{$\begin{aligned} &\\Q=(-p_1-p_2+p_3+p_4)\end{aligned}$}} (Fc); \end{tikzpicture}
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\begin{tikzpicture}%[>=Stealth] \draw (0,2) -- (0,-2); \draw (-1.732,1) -- (1.732,-1); \draw (-1.732,-1) -- (1.732,1); \filldraw (0,0) circle [radius=1.5pt] (0,1.5) circle [radius=1.5pt] (-1.3,-0.7516) circle [radius=1.5pt] (1.3,-0.7516) circle [radius=1.5pt]; \draw (-0.4,0) node {$x^*$} (-2,-1.1) node {$x^k=R_{C_3}R_{C_2}R_{C_1}(x^k)$} (1.0,-1.1) node {$R_{C_1}(x^k)$} (-1.2,1.7) node {$R_{C_2}R_{C_1}(x^k)$}; \draw (0.28,-1.7) node {$C_1$} (1.55,0.55) node {$C_2$} (-1.55,0.55) node {$C_3$}; \draw [-stealth] (0,1.5) -- (-1.295,-0.665); \draw [-stealth] (-1.3,-0.7516) -- (1.2,-0.7516); \draw [-stealth] (1.3,-0.7516) -- (0.05,1.4134); \end{tikzpicture}
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\begin{tikzpicture} \definecolor{color0}{rgb}{0.843137254901961,0.0980392156862745,0.109803921568627} \definecolor{color1}{rgb}{0.172549019607843,0.482352941176471,0.713725490196078} \begin{axis}[ height=6cm, width=8cm, legend cell align={left}, legend style={fill opacity=0.8, draw opacity=1, text opacity=1, draw=white!80!black}, tick align=outside, tick pos=left, x grid style={white!69.0196078431373!black}, xmin=0, xmax=1, xtick style={color=black}, y grid style={white!69.0196078431373!black}, ymin=0, ymax=68.25, ylabel={Number of Users}, xlabel={$\theta$}, ytick style={color=black}, ] \draw[draw=none,fill=color0,fill opacity=0.8] (axis cs:0.192781920195074,0) rectangle (axis cs:0.233046067001822,2); \addlegendimage{ybar,ybar legend,draw=none,fill=color0,fill opacity=0.8}; \addlegendentry{Group 1} \draw[draw=none,fill=color0,fill opacity=0.8] (axis cs:0.233046067001822,0) rectangle (axis cs:0.273310213808569,1); \draw[draw=none,fill=color0,fill opacity=0.8] (axis cs:0.273310213808569,0) rectangle (axis cs:0.313574360615316,0); 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\begin{tikzpicture} \draw ([shift={(0,0)}]-16.5:52.9pt) arc (-16.5:56:52.9pt); \draw ([shift={(0,0)}]-50:52.9pt) arc (-50:-29.5:52.9pt); \draw ([shift={(0,0)}]-18.5:74.8pt) arc (-18.5:40:74.8pt); \draw ([shift={(0,0)}]-35:74.8pt) arc (-35:-27.5:74.8pt); \fill (0,0) circle[radius=1pt]; \node at (6pt,-4pt) {$O$}; \node at (32pt,-2pt) {$U$}; \node at (64pt,0pt) {$V$}; \node at (50pt,-21pt) {$R_2$}; \node at (70pt,-30pt) {$R_3$}; \end{tikzpicture}
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\centerline{\begin{tikzpicture}[scale=0.8] \path (1,0)--(-1,0) ; \draw[-][thick](-6,0)--(-5,0); \draw[->][thick](-5,0)--(-4,0); \draw[-][thick](-4,0)--(-3,0); \draw[-][thick](-3,0)--(-2,0)node[below left]{$z_{2}$}; \draw[fill] (-2.5,0) circle [radius=0.05]; \draw[-][thick](-2,0)--(-1,0); \draw[->][thick](-1,0)--(0,0); \draw[-][thick](0,0)--(1,0); \draw[-][thick](1,0)--(2,0)node[below left]{$z_{1}$}; \draw[fill] (1.6,0) circle [radius=0.05]; \draw[-][thick](2,0)--(3,0); \draw[->][thick](3,0)--(4,0); \draw[-][thick](4,0)--(6,0)[thick]node[right]{$\Sigma^{(1)}$}; \end{tikzpicture}}
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\begin{tikzpicture} \def\psize{1.5cm} \def\msize{1.35cm} \def\w{.4cm} % block size \begin{scope}[scale=0.5,xshift=-\msize,yshift=\msize] \draw[fill=gray!30] (-\msize,\msize-\w)--(-\msize,\msize)--(-\msize+\w,\msize)--(\msize,-\msize+\w)--(\msize,-\msize)--(\msize-\w,-\msize)--cycle; \draw[xshift=\msize,yshift=\msize,fill=gray!30] (0,0)--(0,-\w)--(-\w,0)--cycle; \draw[xshift=-\msize,yshift=-\msize,fill=gray!30] (0,0)--(0,\w)--(\w,0)--cycle; \end{scope} \def\w{.8cm} % block size \begin{scope}[scale=0.5,xshift=\msize,yshift=-\msize] \foreach \b in {0,1}{ \draw[fill=gray!30,xshift=-\msize+\b*\w,yshift=\msize-\b*\w] (0,0)--(\w,0)--(\w,-\w)--(0,-\w)--cycle; } \node at (.2,.2) [below right] {$\ddots$}; \end{scope} \node at (-\psize,0) {$\left(\vphantom{\rule{\psize}{\psize}}\right.$}; \node at (\psize,0) {$\left.\vphantom{\rule{\psize}{\psize}}\right)$}; \end{tikzpicture}
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\begin{tikzpicture}[dot/.style={circle,inner sep=1pt,fill,label={#1},name=#1}, extended line/.style={shorten >=-#1,shorten <=-#1}, extended line/.default=1cm] \draw (0,0) rectangle (5,5); \draw (1, 2.5) -- (4, 2.5); \node [dot={$z=0$}] at (1,2.5){}; \node [dot={$z=1$}] at (4,2.5){}; \node [draw] at (4.25,.3) {{$z$-plane}}; \draw [->] (2.5,2) to [out=10,in=-10] (2.5,3); \node [] at (2.3,1.9) {{$A$}}; \node [] at (2.1,3.2) {{$\rho(A)$}}; \draw[->] (6.25,2.5) -- (7,2.5); \draw (8,0) rectangle (13,5); \draw (8,0) -- (13,5); \draw (8,5) -- (13,0); \node [anchor=west] at (10.6,2.5) {{$u=0$}}; \node [dot={}] at (10.5,2.5) {}; \filldraw[color=white] (11.5,0) rectangle (13,.6); \node [draw] at (12.25,.3) {{$u$-plane}}; \draw [->] (12.15, 2.15) to [out=-90,in=0] (11, 1.25); \draw [->] (10, 1.25) to [out=180,in=-90] (8.85, 2.15); \draw [->] (8.85, 2.85) to [out=90,in=180] (10, 3.75); \draw [->] (11, 3.75) to [out=0,in=90] (12.15, 2.85); \node [] at (12. 15,2.5) {{$A$}} ; \node [] at (10.5, 1.25) {{$\rho(A)$}}; \node [] at (8.85, 2.5) {{$\rho^2(A)$}}; \node [] at (10.5, 3.75) {{$\rho^3(A)$}}; \end{tikzpicture}
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\begin{tikzpicture} \node[anchor=mid] at (-2.4,6.){\textbf{(a)}}; \node at (-3.,3){\includegraphics{6222_figs_rosenbrock_k1_HNN_subset_samples.pdf}}; \node[anchor=mid] at (3.6,6.){\textbf{(b)}}; \node at (3.,3){\includegraphics{6223_figs_rosenbrock_k10_HNN_subset_samples.pdf}}; \end{tikzpicture}
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stat
assets/stat/6222_figs_rosenbrock_k1_HNN_subset_samples.pdf
assets/stat/6223_figs_rosenbrock_k10_HNN_subset_samples.pdf
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\begin{tikzpicture}[overlay, remember picture] \path (current page.north east) ++(-3.5,-0.8) node[below left] { ``Multi-Camera Visual-Inertial Simultaneous Localization and Mapping for Autonomous Valet Parking'', }; \end{tikzpicture}
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\begin{tikzpicture}[x=\linewidth, y=\linewidth] \node at (0.45,0){ \includegraphics[width=0.8\linewidth]{11015_tqg-circuit-1.pdf}}; \node at (0.,0.1) {(a)}; \node at (0.45,-0.3) { \includegraphics[width=0.8\linewidth]{11016_tqg-circuit-2.pdf}}; \node at (0.,-0.15) {(b)}; \end{tikzpicture}
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physics
assets/physics/11015_tqg-circuit-1.pdf
assets/physics/11016_tqg-circuit-2.pdf
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\begin{tikzpicture}[ scale=1.25, dot/.style={circle,fill=black,minimum size=6pt,inner sep=0} ] \foreach \x in {0,...,4,6} { \draw[blue,thick,fill=blue!20] (\x - 0.4, -1.25) -- (\x - 0.4, 1.85) -- (\x + 0.15, 2.85) -- (\x + 0.15, -0.25) --cycle; } \foreach \y in {2.05, 1, -0.05} { \draw[dotted] (-0.6, \y + 0.2) -- (6.6, \y + 0.2) -- (6.2, \y - 0.75) -- (-1, \y - 0.75) -- cycle; } \node (C2) [dot] at (-0.2, 0.4) {}; \node (D2) [dot] at (0.8, 0.4) {}; \node (E2) [dot] at (1, 1) {}; \node (F3) [dot] at (2, 0) {}; \node (G2) [dot] at (1.8, 0.4) {}; \node (H2) [dot] at (2.8, 0.4) {}; \node (I2) [dot] at (3, 1) {}; \node (J3) [dot] at (4, 0) {}; \node (K2) [dot] at (3.8, 0.4) {}; \node at (5, 0.75) {$\dots$}; \node at (5, -0.25) {$\dots$}; \node (LIM2) [dot] at (6, 1) {}; \node (LIM3) [dot] at (6, 0) {}; \node (A1) [dot] at (0, 2) {}; \node (B1) [dot] at (1, 2) {}; \node (C1) [dot] at (2, 2) {}; \node (D1) [dot] at (3, 2) {}; \node (E1) [dot] at (4, 2) {}; \node at (5, 2) {$\dots$}; \node (LIM1) [dot] at (6, 2) {}; \draw (C2) -- (D2); \draw[-latex] (F3) -- (E2); \draw[-latex] (J3) -- (I2); \draw (G2) -- (H2); \draw (A1) -- (E1); \draw (E1) -- (4.5, 2) {}; \draw (5.5, 2) -- (LIM1) {}; \draw[-latex] (E2) -- (B1); \draw[-latex] (C2) to[out=90, in=250] (A1); \draw[-latex] (D2) to[out=90, in=250] (B1); \draw[-latex] (G2) to[out=90, in=250] (C1); \draw[-latex] (H2) to[out=90, in=250] (D1); \draw[-latex] (K2) to[out=90, in=250] (E1); \draw[-latex] (LIM2) to (LIM1); \draw[-latex] (LIM3) to (LIM2); \draw (C2) circle[radius=0.2]; \node at (-0.6, 0.4) {$g$}; \end{tikzpicture}
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\begin{tikzpicture} \node[anchor=south west, inner sep=0] (image) at (0,0){\includegraphics[width=0.8\textwidth]{12076_figures_comparison_graph_swapped_.pdf}}; \begin{scope}[x={(image.south east)},y={(image.north west)}] \node at (0.11,0.56) {\tiny\cite{xu2016deep}}; \node at (0.11,0.41) {\tiny\cite{rajchl2016deepcut}}; \node at (0.23,0.482) {\tiny\cite{castrejon2017annotating}}; \node at (0.23,0.402) {\tiny\cite{amrehn2017ui}}; \node at (0.235,0.245) {\tiny\cite{sun2017point}}; \node at (0.35,0.6975) {\tiny\cite{maninis2018deep}}; \node at (0.35,0.6175) {\tiny\cite{li2018interactive}}; \node at (0.35,0.52) {\tiny\cite{wang2018interactive}}; \node at (0.35,0.4225) {\tiny\cite{bredell2018iterative}}; \node at (0.35,0.36) {\tiny\cite{wang2018deepigeos}}; \node at (0.325,0.245) {\tiny\cite{can2018learning}}; \node at (0.38,0.245) {\tiny\cite{dhara2019segmentation}}; \node at (0.355,0.2075) {\tiny\cite{tang2018semi}}; \node at (0.475,0.65) {\tiny\cite{jang2019interactive}}; \node at (0.475,0.405) {\tiny\cite{sakinis2019interactive}}; 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assets/cs/12076_figures_comparison_graph_swapped_.pdf
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\begin{tikzpicture} \begin{axis}[% width=.8\columnwidth, height=.27\columnwidth, at={(0in,0in)}, scale only axis, bar shift auto, xmin=0, xmax=50, xlabel style={font=\color{white!15!black},yshift=2mm},%,font=\fsize}, xlabel={Time}, ymin=-3, ymax=3, ylabel style={font=\color{white!15!black},align=center,yshift=-3mm},%,font=\fsize}, ylabel={Output}, axis background/.style={fill=white}, axis x line*=bottom, axis y line*=left, legend style={legend cell align=left, align=left, draw=white!15!black}%, font = \fsiz ] \addplot[draw= black,thick] table[row sep=crcr] { -5 0 \\ -4 0 \\ -3 0 \\ -2 0 \\ -1 0 \\ 0 0 \\ 1 0.96 \\ 2 0.8204 \\ 3 0.5472 \\ 4 -0.6835 \\ 5 -0.7852 \\ 6 -0.7175 \\ 7 -0.6167 \\ 8 -0.513 \\ 9 -0.4169 \\ 10 -0.3329 \\ 11 -0.2514 \\ 12 -0.1931 \\ 13 -0.1476 \\ 14 -0.1055 \\ 15 -0.0779 \\ 16 -0.0575 \\ 17 -0.0423 \\ 18 -0.0209 \\ 19 -0.0107 \\ 20 -0.0058 \\ 21 -0.0029 \\ 22 -0.0012 \\ 23 -0.0002 \\ 24 0.0003 \\ 25 0.0005 \\ 26 0.0006 \\ 27 0.0008 \\ 28 0.0007 \\ 29 0.0006 \\ 30 0.0005 \\ 31 0.0004 \\ 32 0.0004 \\ 33 0.0003 \\ 34 0.0002 \\ 35 0.0001 \\ 36 0.0001 \\ 37 0.0001 \\ 38 0.0001 \\ 39 0 \\ 40 0 \\ 41 0 \\ 42 0 \\ 43 0 \\ 44 0 \\ 45 0 \\ 46 0 \\ 47 0 \\ 48 0 \\ 49 0 \\ }; \addplot[draw= red,thick,dashed] table[row sep=crcr] { -5 0 \\ -4 0 \\ -3 0 \\ -2 0 \\ -1 0 \\ 0 -11.5579 \\ 1 -12.6675 \\ 2 -12.5062 \\ 3 -0.6324 \\ 4 0.79 \\ 5 0.9076 \\ 6 0.8293 \\ 7 0.7128 \\ 8 0.5929 \\ 9 0.4819 \\ 10 0.3848 \\ 11 0.2906 \\ 12 0.2232 \\ 13 0.1706 \\ 14 0.122 \\ 15 0.09 \\ 16 0.0664 \\ 17 0.0488 \\ 18 0.0242 \\ 19 0.0124 \\ 20 0.0067 \\ 21 0.0034 \\ 22 0.0014 \\ 23 0.0003 \\ 24 -0.0003 \\ 25 -0.0006 \\ 26 -0.0007 \\ 27 -0.0009 \\ 28 -0.0009 \\ 29 -0.0008 \\ 30 -0.0006 \\ 31 -0.0005 \\ 32 -0.0004 \\ 33 -0.0003 \\ 34 -0.0002 \\ 35 -0.0002 \\ 36 -0.0001 \\ 37 -0.0001 \\ 38 -0.0001 \\ 39 0 \\ 40 0 \\ 41 0 \\ 42 0 \\ 43 0 \\ 44 0 \\ 45 0 \\ 46 0 \\ 47 0 \\ 48 0 \\ 49 0 \\ }; \addplot[draw=gray,thin] table[row sep=crcr] { 0 0 \\ 50 0 \\ }; \end{axis} \end{tikzpicture}
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\begin{tikzpicture}[scale=0.2] \filldraw [red!30] (0,0) circle (5pt); \draw plot [smooth, tension=2] coordinates {(1,1) (-0.2,0) (1,-1)}; \filldraw [red!30] (5,0) circle (5pt); \filldraw [blue!60] (11,0) circle (5pt); \filldraw [red!30] (12.5,0) circle (5pt); \filldraw [red!30] (16,0) circle (5pt); \draw plot [smooth, tension=2] coordinates {(15,1) (16.2,0) (15,-1)}; \draw (0,2) node{$\Psi^c_0$}; \draw (15,2) node{$\Psi^c_0$}; \draw (8,-2) node{$I_0$: make blue}; \filldraw [blue!60] (20,0) circle (5pt); \draw plot [smooth, tension=2] coordinates {(21,1) (19.8,0) (21,-1)}; \filldraw [blue!60] (24.5,0) circle (5pt); \filldraw [blue!60] (26,0) circle (5pt); \filldraw [blue!60] (27,0) circle (5pt); \draw plot [smooth, tension=2] coordinates {(26,1) (27.2,0) (26,-1)}; \draw (21,2) node{$\Psi^c_1$}; \draw (28,2) node{$\Psi^c_1$}; \draw (23.5,-2) node{$I_1$: make red}; \filldraw [red!30] (36,0) circle (5pt); \draw (36,2) node{$\Psi^c_2$}; \draw (36,-2) node{(ignore)}; \filldraw [red!30] (45,0) circle (5pt); \filldraw [red!30] (52,0) circle (5pt); \draw plot [smooth, tension=2] coordinates {(46,1) (44.8,0) (46,-1)}; \draw plot [smooth, tension=2] coordinates {(51,1) (52.2,0) (51,-1)}; \draw (45,2) node{$\Psi^c_3$}; \draw (52,2) node{$\Psi^c_3$}; \draw (48.5,-2) node{$I_3$: make blue}; \draw (60,0) node{$\cdots$}; \end{tikzpicture}
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\begin{tikzpicture} \begin{axis}[% width=0.95\columnwidth, xbar, y=-0.25cm, bar width=0.2cm, enlarge y limits={abs=0.15cm}, xmin=0, xmax=60, symbolic y coords={ test, hospitaldepartment, taxidestination, taxiarriveby, hoteltype, restaurantname, taxideparture, traindeparture, traindestination, attractionname, hotelname, hotelparking, hotelarea, trainleaveat, taxileaveat, hotelinternet, hotelpricerange, attractiontype, hotelstars, restaurantarea, attractionarea, restaurantpricerange, restaurantfood, trainarriveby, restauranttime, trainpeople, hotelday, hotelpeople, hotelstay, restaurantpeople, restaurantday, trainday }, y tick label style={align=right,font=\scriptsize}, ytick distance=1.025, yticklabels={ test, hospital-department, taxi-destination, taxi-arriveby, hotel-type, restaurant-name, taxi-departure, train-departure, train-destination, attraction-name, hotel-name, hotel-parking, hotel-area, train-leaveat, taxi-leaveat, hotel-internet, hotel-pricerange, attraction-type, hotel-stars, restaurant-area, attraction-area, restaurant-pricerange, restaurant-food, train-arriveby, restaurant-time, train-people, hotel-day, hotel-people, hotel-stay, restaurant-people, restaurant-day, train-day }, xmajorgrids, axis line style={lightgray}, major tick style={draw=none}, nodes near coords, point meta=explicit symbolic, /pgf/bar shift={0pt}, % <-- doesn't place bars next to each other ] \addplot [fill={rgb:red,170;green,55;blue,55},draw=none] coordinates { (142.9,hospitaldepartment) (54.5,taxidestination) (40.5,taxiarriveby) (39.5,restaurantname) (38.3,taxideparture) (38.1,traindeparture) (37.2,traindestination) (36.7,attractionname) (28.7,hotelname) }; \addplot [fill={rgb:red,23;green,105;blue,170},draw=none] coordinates { (39.6,hoteltype) (25.6,hotelparking) (21.6,hotelarea) (20.0,trainleaveat) (19.2,taxileaveat) (17.9,hotelinternet) (15.0,hotelpricerange) (13.2,attractiontype) (12.1,hotelstars) (12.0,restaurantarea) (11.7,attractionarea) (11.1,restaurantpricerange) (10.4,restaurantfood) (8.8,trainarriveby) (8.3,restauranttime) (8.1,trainpeople) (7.5,hotelday) (6.2,hotelpeople) (5.8,hotelstay) (5.1,restaurantpeople) (4.2,restaurantday) (2.8,trainday) }; \end{axis} \end{tikzpicture}
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green, 79; blue, 97 } ,opacity=1 ] {$k$}; \draw (362.8,71.17) node [anchor=north west][inner sep=0.75pt] [font=\scriptsize,color={rgb, 255:red, 182; green, 5; blue, 60 } ,opacity=1 ] {$0.8$}; \draw (332.01,41.6) node [anchor=north west][inner sep=0.75pt] [font=\scriptsize,color={rgb, 255:red, 0; green, 0; blue, 0 } ,opacity=1 ] {$1.6$}; \draw (363.01,46.6) node [anchor=north west][inner sep=0.75pt] [font=\scriptsize,color={rgb, 255:red, 0; green, 0; blue, 0 } ,opacity=1 ] {$4$}; \draw (384.87,41.49) node [anchor=north west][inner sep=0.75pt] [font=\scriptsize,color={rgb, 255:red, 0; green, 0; blue, 0 } ,opacity=1 ] {$1.2$}; \draw (407.65,52.94) node [anchor=north west][inner sep=0.75pt] [font=\scriptsize,color={rgb, 255:red, 0; green, 0; blue, 0 } ,opacity=1 ] {$0.4$}; \draw (418.65,34.94) node [anchor=north west][inner sep=0.75pt] [font=\scriptsize,color={rgb, 255:red, 0; green, 0; blue, 0 } ,opacity=1 ] {$0.4$}; \draw (343.01,77.6) node [anchor=north west][inner sep=0.75pt] [font=\scriptsize,color={rgb, 255:red, 0; green, 0; blue, 0 } ,opacity=1 ] {$1$}; \draw (385.01,77.6) node [anchor=north west][inner sep=0.75pt] [font=\scriptsize,color={rgb, 255:red, 0; green, 0; blue, 0 } ,opacity=1 ] {$1$}; \draw (369.58,108.84) node [anchor=north west][inner sep=0.75pt] [font=\scriptsize,color={rgb, 255:red, 0; green, 0; blue, 0 } ,opacity=1 ] {$0.6$}; \draw (220,133.98) node [anchor=north west][inner sep=0.75pt] [font=\normalsize,color={rgb, 255:red, 6; green, 79; blue, 97 } ,opacity=1 ] {$f$}; \draw (169.42,71.97) node [anchor=north west][inner sep=0.75pt] [font=\normalsize,color={rgb, 255:red, 6; green, 79; blue, 97 } ,opacity=1 ] {$a$}; \draw (271.06,73.28) node [anchor=north west][inner sep=0.75pt] [font=\normalsize,color={rgb, 255:red, 6; green, 79; blue, 97 } ,opacity=1 ] {$g$}; \draw (221.17,12.58) node [anchor=north west][inner sep=0.75pt] [font=\normalsize,color={rgb, 255:red, 6; green, 79; blue, 97 } ,opacity=1 ] {$n$}; \draw (219.5,84.49) node [anchor=north west][inner sep=0.75pt] [font=\scriptsize,color={rgb, 255:red, 182; green, 5; blue, 60 } ,opacity=1 ] {$0.3$}; \draw (194.15,95.92) node [anchor=north west][inner sep=0.75pt] [font=\scriptsize,color={rgb, 255:red, 0; green, 0; blue, 0 } ,opacity=1 ] {$2.6$}; \draw (207.15,118.92) node [anchor=north west][inner sep=0.75pt] [font=\scriptsize,color={rgb, 255:red, 0; green, 0; blue, 0 } ,opacity=1 ] {$6.6$}; \draw (183.15,70.92) node [anchor=north west][inner sep=0.75pt] [font=\scriptsize,color={rgb, 255:red, 0; green, 0; blue, 0 } ,opacity=1 ] {$10.8$}; \draw (201.15,53.92) node [anchor=north west][inner sep=0.75pt] [font=\scriptsize,color={rgb, 255:red, 0; green, 0; blue, 0 } ,opacity=1 ] {$1.2$}; \draw (227.32,39.2) node [anchor=north west][inner sep=0.75pt] [font=\scriptsize,color={rgb, 255:red, 0; green, 0; blue, 0 } ,opacity=1 ] {$8$}; \draw (237.15,55.92) node [anchor=north west][inner sep=0.75pt] [font=\scriptsize,color={rgb, 255:red, 0; green, 0; blue, 0 } ,opacity=1 ] {$1$}; \draw (239.58,95.03) node [anchor=north west][inner sep=0.75pt] [font=\scriptsize,color={rgb, 255:red, 0; green, 0; blue, 0 } ,opacity=1 ] {$0.4$}; \draw (249.15,69.92) node [anchor=north west][inner sep=0.75pt] [font=\scriptsize,color={rgb, 255:red, 0; green, 0; blue, 0 } ,opacity=1 ] {$7$}; \draw (28.33,18.4) node [anchor=north west][inner sep=0.75pt] [font=\normalsize,color={rgb, 255:red, 6; green, 79; blue, 97 } ,opacity=1 ] {$d$}; \draw (60.74,128.16) node [anchor=north west][inner sep=0.75pt] [font=\normalsize,color={rgb, 255:red, 6; green, 79; blue, 97 } ,opacity=1 ] {$c$}; \draw (75,53.67) node [anchor=north west][inner sep=0.75pt] [font=\scriptsize,color={rgb, 255:red, 182; green, 5; blue, 60 } ,opacity=1 ] {$0.2$}; \draw (89.58,91.34) node [anchor=north west][inner sep=0.75pt] [font=\scriptsize] {$1.4$}; \draw (52.3,23.77) node [anchor=north west][inner sep=0.75pt] [font=\scriptsize] {$2.8$}; \draw (80,28.67) node [anchor=north west][inner sep=0.75pt] [font=\scriptsize] {$0.8$}; \draw (99.24,128.16) node [anchor=north west][inner sep=0.75pt] [font=\normalsize,color={rgb, 255:red, 6; green, 79; blue, 97 } ,opacity=1 ] {$b$}; \draw (134.24,19.66) node [anchor=north west][inner sep=0.75pt] [font=\normalsize,color={rgb, 255:red, 6; green, 79; blue, 97 } ,opacity=1 ] {$e$}; \draw (102.01,61.43) node [anchor=north west][inner sep=0.75pt] [font=\scriptsize,color={rgb, 255:red, 0; green, 0; blue, 0 } ,opacity=1 ] {$5.8$}; \draw (62.3,61.43) node [anchor=north west][inner sep=0.75pt] [font=\scriptsize,color={rgb, 255:red, 0; green, 0; blue, 0 } ,opacity=1 ] {$1$}; \draw (97.6,108.97) node [anchor=north west][inner sep=0.75pt] [font=\scriptsize] {$0.4$}; \draw (59.6,108.97) node [anchor=north west][inner sep=0.75pt] [font=\scriptsize] {$0.4$}; \draw (108.8,23.27) node [anchor=north west][inner sep=0.75pt] [font=\scriptsize,color={rgb, 255:red, 0; green, 0; blue, 0 } ,opacity=1 ] {$3.6$}; \end{tikzpicture}
plot
q-bio
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283
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\begin{tikzpicture} \begin{axis}[ width=0.8\textwidth, height=0.6\textwidth, xlabel={Frequency (Hz)}, ylabel={Hearing Threshold (dB)}, title={High Frequency Hearing Loss Audiogram}, grid=major, ymin=-100, ymax=0, % Adjust the y-axis limits as needed ] \addplot[blue, line width=1.5pt] coordinates { (250, -20) (250, -20) (3000, -20) (4000, -20) (8000, -80) }; \end{axis} \end{tikzpicture}
plot
eess
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211
103
\begin{tikzpicture} \draw [decorate, decoration={brace,amplitude=5pt},line width=0.5pt] (0,0) -- (5,0); \node at (2.5,0.4) {\tiny Theorems~\ref{thm:nonparam_dis_cont_a}~\&~\ref{thm:nonparam_dis_disc_a}}; \end{tikzpicture}
plot
cs
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\begin{tikzpicture}[scale=0.8] \draw[thick,dashed,->] (-0.5,0)--(3,0); \draw[thick,dashed,->] (0,-0.5)--(0,2); \draw[thick,gray] (1,-0.5) -- (1,2); \node at (0,0) {$\bullet$}; \node at (1,-0.3) {\color{gray}$\bullet$}; \node at (1,1.5) {\color{gray}$\bullet$}; \node at (-0.3,1.8) {e${}_2$}; \node at (2.8,-0.3) {e${}_1$}; \end{tikzpicture}
plot
q-fin
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405
739
\begin{tikzpicture}[scale=0.7] \draw (-3.1, -0.2) node {\scriptsize{-3}}; \draw (-2.1, -0.2) node {\scriptsize{-2}}; \draw (-1.1, -0.2) node {\scriptsize{-1}}; \draw (0, -0.2) node {\scriptsize{0}}; \draw (1,-0.2) node {\scriptsize{1}}; \draw (2,-0.2) node {\scriptsize{2}}; \draw (3,-0.2) node {\scriptsize{3}}; \draw (4,-0.2) node {\scriptsize{4}}; \draw (5,-0.2) node {\scriptsize{5}}; \draw (6,-0.2) node {\scriptsize{6}}; \draw (7,-0.2) node {\scriptsize{7}}; \draw (8,-0.2) node {\scriptsize{8}}; \draw [->] (-4,0)--(8.5,0); \draw[color=red] (4,0) arc (0:180:1.5); \draw[color=red] (1,0) arc (0:180:2); \draw[color=blue] (6,0) arc (0:180:2); \draw[color=blue] (2,0) arc (0:180:1); \draw[color=cyan] (3,0) arc (0:180:2.5); \draw[color=magenta] (5,0) arc (0:180:3); \end{tikzpicture}
plot
math
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263
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\begin{tikzpicture}[xscale=1.5] \draw (6,.5) node (rca0) {RCA$^0$}; \draw (6,-1) node (hrca0) {HRCA$^0$}; \draw [->] (hrca0) -- (rca0); \draw (8,.5) node (rca1) {RCA$^1$}; \draw [->] (rca0) -- (rca1); \draw (8,-1) node (fca) {HRCA$^1$=FCA}; \draw [->] (fca) -- (rca1); \draw [->] (hrca0) -- (fca); \draw (fca.north west) edge[bend left=15,->] (rca0.south east); \draw (rca0.south east) edge[bend left=15,->] (fca.north west); \draw (10,.5) node (rca2) {RCA$^2$}; \draw [->] (rca1) -- (rca2); \draw (10,-1) node (hrca2) {HRCA$^2$}; \draw [->] (fca) -- (hrca2); \draw (12,.5) node (rca) {RCA}; \draw (12,-1) node (hrca) {HRCA}; \draw [->] (hrca) -- (rca); \draw [->,dotted] (hrca2) -- (hrca); \draw [->,dotted] (rca2) -- (rca); \end{tikzpicture}
plot
cs
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398
87
\begin{tikzpicture} \definecolor{lightgray}{RGB}{211,211,211} \begin{axis}[ tick align=outside, tick pos=left, title={Packet Latency}, x grid style={lightgray}, xlabel={Packet ID}, xmajorgrids, xmin=-0.8, xmax=16.8, xtick style={color=black}, y grid style={lightgray}, ylabel={E2E Latency [ms]}, ymajorgrids, ymin=0.4, ymax=1.6, ytick style={color=black} ] \path [draw=blue, fill=blue, opacity=0.2] (axis cs:0,0.824419770940361) --(axis cs:0,0.653258800488209) --(axis cs:1,0.630087916746141) --(axis cs:2,0.620852259468586) --(axis cs:3,0.63317252053847) --(axis cs:4,0.660671578449546) --(axis cs:5,0.6326970752406) --(axis cs:6,0.646366983706118) --(axis cs:7,0.635158237247195) --(axis cs:8,0.64656343268136) --(axis cs:9,0.642279879552958) --(axis cs:10,0.617074568877727) --(axis cs:11,0.619297569095922) --(axis cs:11,0.813291716618364) --(axis cs:11,0.813291716618364) --(axis cs:10,0.871095073979416) --(axis cs:9,0.867095120447042) --(axis cs:8,0.852766924461498) --(axis cs:7,0.867073905609948) --(axis cs:6,0.841802659151025) --(axis cs:5,0.7860529247594) --(axis cs:4,0.844462350121883) --(axis cs:3,0.861023908032958) --(axis cs:2,0.851915597674271) --(axis cs:1,0.854287083253858) --(axis cs:0,0.824419770940361) --cycle; 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\end{axis} \end{tikzpicture}
plot
cs
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54
636
\begin{tikzpicture}[scale=0.5] \draw (0,7) node [left] {$7$} -- (1,7) -- (1,1) -- (5,1); \draw (0,6) node [left] {$1$} -- (2,6) -- (2,4) -- (4,4) -- (4,-1) -- (5,-1); \draw (0,5) node [left] {$2$} -- (3,5) -- (3,-2) -- (5,-2); \draw (0,3) node [left] {$4$} -- (5,3); \node at (0,4) [left] {$3$}; \node at (0,2) [left] {$5$}; \node at (0,1) [left] {$6$}; \node at (0,0) [left] {$7$}; \node at (0,-1) [left] {$1$}; \node at (0,-2) [left] {$2$}; \draw [dashed, red] (-1,2.5) -- (6.5,2.5); \node at (0.75,6) [] {$\circ$}; \node at (1,6.25) [] {$\bullet$}; \node at (1.75,5) [] {$\circ$}; \node at (2,5.25) [] {$\bullet$}; \node at (2.75,4) [] {$\bullet$}; \node at (3,4.25) [] {$\circ$}; \node at (3.75,3) [] {$\circ$}; \node at (4,3.25) [] {$\circ$}; \end{tikzpicture} \hspace{2cm}
plot
math
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201
268
\begin{tikzpicture} \node[circle, draw, minimum size = 4em]{Root}[sibling distance= 5 cm, level distance = 3 cm] child {node[circle, draw, minimum size = 4em] {$N_1$} [sibling distance = 3 cm] child{node[circle, draw, minimum size = 4em] {AQ1} edge from parent node[right, xshift = 0.05 cm, yshift=-0.1cm] {\large 0.160}} child {node[circle, draw, minimum size = 4em] {OQ}} edge from parent node[right, xshift = 0.50 cm, yshift=-0.1cm] {\large 2.735} } child {node[circle, draw, minimum size = 4em] {$N_2$} [sibling distance = 3 cm] child {node[circle, draw, minimum size = 4em] {AQ2} edge from parent node[right, xshift = 0.05 cm, yshift=-0.1cm] {\large 3.182}} child{node[circle, draw, minimum size = 4em] {TQ}} }; \end{tikzpicture}
plot
stat
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104
507
\begin{tikzpicture} \node[circle,draw, minimum width=0.25in] at (0,0) (a) {$a$}; \node[circle,draw,minimum width=0.25in] at (3,0) (c) {$c$}; \node[circle,draw,minimum width=0.25in] at (1.5,1.5) (b) {$b$}; \node[circle,draw,minimum width=0.25in, fill=gray!75] at (1.5,-1.5) (d) {$d$}; \path[->,draw,thick] (a) to[pos=.7] node[fill=white] {$4$} (c); \path[->,draw,thick] (b) to node[fill=white] {$6$} (a); \path[->,draw,thick] (d) to node[fill=white] {$1$} (a); \path[->,draw,thick] (d) to node[fill=white] {$3$} (c); \path[->,draw,thick] (b) to[pos=.7] node[fill=white] {$2$} (d); \path[->,draw,thick] (c) to node[fill=white] {$5$} (b); \end{tikzpicture}
plot
econ
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\begin{tikzpicture}[scale=0.8] \begin{axis}[xlabel=$\eta_1$,ylabel=$\eta_2$, zlabel = MIP Solution Time (sec), view = {-20}{25} ] \addplot3[ surf, , fill= white, shader=faceted interp ] coordinates { (0,0,78.2609666666667) (0,0.0001,119.009366666667) (0,0.5,362.925333333333) (0,1,389.018666666667) (0,1.5,436.761666666667) (0,2,463.939) (0,2.5,516.122666666667) (0,3,600.634) (0,3.5,598.32) (0,4,765.489333333333) (0.0001,0,122.776033333333) (0.0001,0.0001,199.658333333333) (0.0001,0.5,279.464666666667) (0.0001,1,340.414333333333) (0.0001,1.5,334.478666666667) (0.0001,2,420.893) (0.0001,2.5,513.894) (0.0001,3,582.069666666667) (0.0001,3.5,588.393666666667) (0.0001,4,653.032666666667) (1,0,487.260666666667) (1,0.0001,679.534333333333) (1,0.5,829.199333333333) (1,1,883.392) (1,1.5,1164.225) (1,2,958.382333333333) (1,2.5,1426.53666666667) (1,3,1275.78933333333) (1,3.5,1624.35966666667) (1,4,1430.951) (2,0,945.331) (2,0.0001,1168.51366666667) (2,0.5,1738.06666666667) (2,1,3487.493) (2,1.5,3621.37933333333) (2,2,2931.065) (2,2.5,3226.22333333333) (2,3,3531.65) (2,3.5,4697.15666666667) (2,4,5582.77) (3,0,2712.80566666667) (3,0.0001,3516.418) (3,0.5,9638.75833333333) (3,1,13276.8166666667) (3,1.5,12486.55) (3,2,13629.4466666667) (3,2.5,15674.88) (3,3,19647.43) (3,3.5,21743.4433333333) (3,4,30673.6333333333) (4,0,11265.0766666667) (4,0.0001,23860.1366666667) (4,0.5,27521.31) (4,1,45747.3033333333) (4,1.5,41840.5666666667) (4,2,48428.7666666667) (4,2.5,62677.8566666667) (4,3,68066.5166666667) (4,3.5,57730.0133333333) (4,4,77779.4966666667) (5,0,32704.5733333333) (5,0.0001,57125.98) (5,0.5,14501.8366666667) (5,1,46661.3) (5,1.5,50911.1833333333) (5,2,54073.5133333333) (5,2.5,74930.84) (5,3,117817.3) (5,3.5,153936.666666667) (5,4,195406.966666667) (6,0,53221.9533333333) (6,0.0001,52904.3333333333) (6,0.5,59363.5333333333) (6,1,55342.21) (6,1.5,61922.3566666667) (6,2,84270.85) (6,2.5,99218.8) (6,3,132393.3) (6,3.5,69703.4666666667) (6,4,196790.4) (7,0,33218.5) (7,0.0001,70065.0333333333) (7,0.5,85757.8666666667) (7,1,43276.1) (7,1.5,52072.3766666667) (7,2,136591.433333333) (7,2.5,94349.6333333333) (7,3,163934.133333333) (7,3.5,234442.033333333) (7,4,139482.2) (8,0,69412.8) (8,0.0001,63710.3366666666) (8,0.5,105944.8) (8,1,87630.6) (8,1.5,98539.5666666667) (8,2,145945.533333333) (8,2.5,138291.733333333) (8,3,262504.1) (8,3.5,246146.5) (8,4,345409) }; \end{axis} \end{tikzpicture}
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The inputs to the rings fall into two categories, aiding the construction of possible invariants. The first type involves first-order blocks, easily obtained through combinations of main elements within the $U_i$-ring, where $U_i$ cancels out. These blocks are placed in the relevant ring with arbitrary sequences and are denoted by a small circle ``$\circlearrowright$''. Blocks are connected with dashed cycles, represented by $\begin{tikzpicture}[transform shape,line width=1pt] \node (A) at (2,2) {}; \node (B) at (3,2) {}; \path[draw] (A) edge[bend right=-30,black,dashed,->] (B) (B) edge[bend right=-30,black,-latex,dashed,->] (A); \end{tikzpicture}$. The second input type pertains to elements where cancellation of $U_i$ in their rotations involves combinations directly used in building blocks in other rings. These elements remain unchanged in the rings and connect to other elements or blocks through single-way dashed curves $\begin{tikzpicture}[transform shape,line width=1pt] \node (A) at (2,2) {}; \node (B) at (3,2) {}; \path[draw] (A) edge[bend right=-30,black,dashed,->] (B); \end{tikzpicture}$.
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\begin{tikzpicture} \foreach \i in {1,2,3,4}{ \draw[very thick] (2*\i,0)--(2*\i,6); \node(P\i) at (2*\i,6.4){$P_{\i}$}; } \node[circle,fill=black,inner sep=1.5,label={\ \ \ \ $b_0$}](b0) at (6,2) {}; \node[circle,fill=black,inner sep=1.5,label={\ \ \ \ $b_1$}](b1) at (6,5) {}; \node[circle,fill=black,inner sep=1.5,label={\ \ \ \ $b$}](b) at (6,4) {}; \node[circle,fill=red,inner sep=1.5](a11) at (2,2.5){}; \node[circle,fill=red,inner sep=1.5](a12) at (2,3.1){}; \node[circle,fill=red,inner sep=1.5](a13) at (2,5){}; \node[circle,fill=green!50!black,inner sep=1.5]() at (2,2){}; \node[circle,fill=red,inner sep=1.5](a21) at (4,3){}; \node[circle,fill=red,inner sep=1.5](a22) at (4,5.2){}; \node[circle,fill=green!50!black,inner sep=1.5]() at (4,1.5){}; \node[circle,fill=green!50!black,inner sep=1.5]() at (4,3.5){}; \node[circle,fill=green!50!black,inner sep=1.5]() at (4,4){}; \node[circle,fill=red,inner sep=1.5](a31) at (8,4.6){}; \node[circle,fill=green!50!black,inner sep=1.5]() at (8,3.3){}; \node[circle,fill=green!50!black,inner sep=1.5]() at (8,2.3){}; \foreach\i in{1,2,3}{ \foreach\j in{1,2}{ \draw[red] (a1\i)--(a2\j)--(b)--(a31); }} \end{tikzpicture}
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\begin{tikzpicture}[scale=.6] \node[draw,circle,inner sep=1pt,fill] at (0,-2) {}; \node[draw,circle,inner sep=1pt,fill] at (0,2) {}; \draw (0,-2)--(0,2); \draw[ultra thick, red] (0,-2)--(0,2); \node[draw,circle,inner sep=1pt,fill] at (4,-2) {}; \node[draw,circle,inner sep=1pt,fill] at (4,2) {}; \node[draw,circle,inner sep=1pt,fill] at (2,0) {}; \node[draw,circle,inner sep=1pt,fill] at (6,0) {}; \draw (4,-2)--(2,0)--(4,2)--(6,0)--(4,-2); \draw[ultra thick, red] (4,-2)--(2,0)--(4,2); \node[draw,circle,inner sep=1pt,fill] at (10,-2) {}; \node[draw,circle,inner sep=1pt,fill] at (10,2) {}; \node[draw,circle,inner sep=1pt,fill] at (8,0) {}; \node[draw,circle,inner sep=1pt,fill] at (12,0) {}; \node[draw,circle,inner sep=1pt,fill] at (10.5,-0.5) {}; \node[draw,circle,inner sep=1pt,fill] at (11.5,-1.5) {}; \draw (12,0)--(11.5,-1.5)--(10,-2)--(10.5,-0.5)--(12,0); \node[draw,circle,inner sep=1pt,fill] at (9.5,-0.5) {}; \node[draw,circle,inner sep=1pt,fill] at (8.5,-1.5) {}; \draw (10,-2)--(8.5,-1.5)--(8,0)--(9.5,-0.5)--(10,-2); \node[draw,circle,inner sep=1pt,fill] at (9.5,0.5) {}; \node[draw,circle,inner sep=1pt,fill] at (8.5,1.5) {}; \draw (10,2)--(8.5,1.5)--(8,0)--(9.5,0.5)--(10,2); \node[draw,circle,inner sep=1pt,fill] at (10.5,0.5) {}; \node[draw,circle,inner sep=1pt,fill] at (11.5,1.5) {}; \draw (12,0)--(11.5,1.5)--(10,2)--(10.5, 0.5)--(12,0); \draw[ultra thick, red] (10,2)--(11.5,1.5)--(12,0)--(10.5, -0.5)--(10,-2); \end{tikzpicture}
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\begin{tikzpicture}[scale=1.2] \draw[white] (-2, -2) rectangle (12, 2); \node[anchor=south] at (0, 1) {Antennas}; \draw[shift={(-1, -1)}] (0, 0) rectangle (2, 2); \node[anchor=north] at (0, -1) {$T_p$}; \draw [fill=none] (0,0) circle (0.75); \node[anchor=center] at (0, 0) {FoV}; \draw[-stealth] (1, -0.1) to (2, -0.1); \node[anchor=north] at (1.5, -0.1) {$\mathbf{b}''$}; \draw[stealth-] (1, 0.1) to (2, 0.1); \node[anchor=south] at (1.5, 0.1) {$\mathbf{a}''$}; \node[anchor=center, align=center, text width=2cm] at (3, 0) {Filters \\ ($\Delta \nu$)}; \draw[shift={(-1, -0.75)}] (3, 0) rectangle (5, 1.5); \draw[-stealth] (4, 0) to (5, 0); \node[anchor=center, align=center, text width=2cm] at (6, 0) {Phasing \\ ($\mathcal{P}$)}; \draw[shift={(-1, -0.75)}] (6, 0) rectangle (8, 1.5); \node[anchor=center, align=center, text width=2cm] at (9, 0) {Amplifiers \\ ($G$)}; \draw[shift={(-1, -0.75)}] (9, 0) rectangle (11, 1.5); \draw[-stealth] (7, -0.1) to (8, -0.1); \node[anchor=north] at (7.5, -0.1) {$T_a$}; \draw[stealth-] (7, 0.1) to (8, 0.1); \node[anchor=south] at (7.5, 0.1) {$T_b$}; \draw[-stealth] (10, 0) to (11, 0); \node[anchor=west] at (11, 0) {$\mathbf{o}$}; \end{tikzpicture}
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\begin{tikzpicture} \node (image) at (0,0) { \includegraphics[width=0.7\textwidth]{5791_covperm.jpg} }; \node[above,black] at (-3.2,2.6){\small $\boldsymbol{\Sigma}(\mathcal{S}, \mathcal{S}; \boldsymbol{\theta})$}; \node[above,black] at (1.9,2.6){\small $\boldsymbol{\Sigma}_{\text{perm}}(\mathcal{S}, \mathcal{S}; \boldsymbol{\theta})$}; \end{tikzpicture}
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assets/stat/5791_covperm.jpg
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77
703
\begin{tikzpicture}[scale=0.4,style=thick,x=1cm,y=1cm] \def\vr{6pt} \begin{scope} % 1 \coordinate(x) at (2,2); \coordinate(y) at (4,2); \coordinate(x') at (4,4); \coordinate(a) at (2,4); \draw (0,-0.4) -- (0,10.4); \draw (2,-0.4) -- (2,10.4); \draw (4,-0.4) -- (4,10.4); \draw (6,-0.4) -- (6,10.4); \draw (8,-0.4) -- (8,10.4); \draw (10,-0.4) -- (10,10.4); \draw (-0.4,0) -- (10.4,0); \draw (-0.4,2) -- (10.4,2); \draw (-0.4,4) -- (10.4,4); \draw (-0.4,6) -- (10.4,6); \draw (-0.4,8) -- (10.4,8); \draw (-0.4,10) -- (10.4,10); \draw(x)[fill=black] circle(\vr); \draw(y)[fill=black] circle(\vr); \draw(x')[fill=black] circle(\vr); \draw(a)[fill=white] circle(\vr); \node at (5,-3) {(a)}; \node at (2,-1) {$i$}; \node at (4,-1) {$i+1$}; \node at (-1,2) {$j$}; \node at (-1.5,4) {$j+1$}; \node at (2.5,1.5) {$x$}; \node at (4.5,1.5) {$y$}; \node at (4.5,3.5) {$x'$}; \end{scope} \begin{scope}[xshift=15cm, yshift=0cm] % (b) \coordinate(x) at (2,2); \coordinate(y) at (4,2); \coordinate(x') at (4,4); \coordinate(a) at (2,4); \coordinate(z) at (2,8); \coordinate(b) at (4,8); \draw (0,-0.4) -- (0,10.4); \draw (2,-0.4) -- (2,10.4); \draw (4,-0.4) -- (4,10.4); \draw (6,-0.4) -- (6,10.4); \draw (8,-0.4) -- (8,10.4); \draw (10,-0.4) -- (10,10.4); \draw (-0.4,0) -- (10.4,0); \draw (-0.4,2) -- (10.4,2); \draw (-0.4,4) -- (10.4,4); \draw (-0.4,6) -- (10.4,6); \draw (-0.4,8) -- (10.4,8); \draw (-0.4,10) -- (10.4,10); \draw(x)[fill=black] circle(\vr); \draw(y)[fill=black] circle(\vr); \draw(x')[fill=black] circle(\vr); \draw(a)[fill=white] circle(\vr); \draw(z)[fill=black] circle(\vr); \draw(b)[fill=white] circle(\vr); \node at (5,-3) {(b)}; \node at (2,-1) {$i$}; \node at (4,-1) {$i+1$}; \node at (-1,2) {$j$}; \node at (-1.5,4) {$j+1$}; \node at (-1.1,8) {$j''$}; \node at (2.5,1.5) {$x$}; \node at (4.5,1.5) {$y$}; \node at (2.5,7.5) {$z$}; \node at (4.5,3.5) {$x'$}; \end{scope} \begin{scope}[xshift=0cm, yshift=-15cm] % (c) \coordinate(x) at (2,2); \coordinate(y) at (4,2); \coordinate(x') at (4,4); \coordinate(a) at (2,4); \coordinate(z) at (8,8); \coordinate(c) at (8,4); \coordinate(d) at (8,2); \draw (0,-0.4) -- (0,10.4); \draw (2,-0.4) -- (2,10.4); \draw (4,-0.4) -- (4,10.4); \draw (6,-0.4) -- (6,10.4); \draw (8,-0.4) -- (8,10.4); \draw (10,-0.4) -- (10,10.4); \draw (-0.4,0) -- (10.4,0); \draw (-0.4,2) -- (10.4,2); \draw (-0.4,4) -- (10.4,4); \draw (-0.4,6) -- (10.4,6); \draw (-0.4,8) -- (10.4,8); \draw (-0.4,10) -- (10.4,10); \draw(x)[fill=black] circle(\vr); \draw(y)[fill=black] circle(\vr); \draw(x')[fill=black] circle(\vr); \draw(z)[fill=black] circle(\vr); \draw(c)[fill=black] circle(\vr); \draw(d)[fill=black] circle(\vr); \draw(a)[fill=white] circle(\vr); \node at (5,-3) {(c)}; \node at (2,-1) {$i$}; \node at (4,-1) {$i+1$}; \node at (8,-1) {$i''$}; \node at (-1,2) {$j$}; \node at (-1.5,4) {$j+1$}; \node at (-1.1,8) {$j''$}; \node at (2.5,1.5) {$x$}; \node at (4.5,1.5) {$y$}; \node at (4.5,3.5) {$x'$}; \node at (7.5,7.5) {$z$}; \end{scope} \begin{scope}[xshift=15cm, yshift=-15cm] % (d) \coordinate(x) at (2,2); \coordinate(y) at (4,2); \coordinate(x') at (4,4); \coordinate(a) at (2,4); \coordinate(z) at (8,8); \coordinate(c) at (8,4); \coordinate(d) at (4,8); \coordinate(e) at (2,8); \coordinate(f) at (8,2); \draw (0,-0.4) -- (0,10.4); \draw (2,-0.4) -- (2,10.4); \draw (4,-0.4) -- (4,10.4); \draw (6,-0.4) -- (6,10.4); \draw (8,-0.4) -- (8,10.4); \draw (10,-0.4) -- (10,10.4); \draw (-0.4,0) -- (10.4,0); \draw (-0.4,2) -- (10.4,2); \draw (-0.4,4) -- (10.4,4); \draw (-0.4,6) -- (10.4,6); \draw (-0.4,8) -- (10.4,8); \draw (-0.4,10) -- (10.4,10); \draw(x)[fill=black] circle(\vr); \draw(y)[fill=black] circle(\vr); \draw(x')[fill=black] circle(\vr); \draw(z)[fill=black] circle(\vr); \draw(c)[fill=white] circle(\vr); \draw(d)[fill=black] circle(\vr); \draw(a)[fill=white] circle(\vr); \draw(e)[fill=white] circle(\vr); \draw(f)[fill=white] circle(\vr); \node at (5,-3) {(d)}; \node at (2,-1) {$i$}; \node at (4,-1) {$i+1$}; \node at (8,-1) {$i''$}; \node at (-1,2) {$j$}; \node at (-1.5,4) {$j+1$}; \node at (-1.1,8) {$j''$}; \node at (2.5,1.5) {$x$}; \node at (4.5,1.5) {$y$}; \node at (4.5,3.5) {$x'$}; \node at (7.5,7.5) {$z$}; \end{scope} \end{tikzpicture}
plot
math
null
null
null
null
null
null
null
null
null
null
384
705
\begin{tikzpicture} \def\psize{1.5cm} \def\msize{1.35cm} \def\w{.4cm} % band width * 2 \draw[fill=gray!30] (-\msize,\msize-\w)--(-\msize,\msize)--(-\msize+\w,\msize)--(\msize,-\msize+\w)--(\msize,-\msize)--(\msize-\w,-\msize)--cycle; \draw[xshift=\msize,yshift=\msize,fill=gray!30] (0,0)--(0,-\w)--(-\w,0)--cycle; \draw[xshift=-\msize,yshift=-\msize,fill=gray!30] (0,0)--(0,\w)--(\w,0)--cycle; \draw[<->] (-\w,0)--(\w,0); \node[above] {$d\phantom{d}$}; \node at (-\psize,0) {$\left(\vphantom{\rule{\psize}{\psize}}\right.$}; \node at (\psize,0) {$\left.\vphantom{\rule{\psize}{\psize}}\right)$}; \end{tikzpicture}
plot
math
null
null
null
null
null
null
null
null
null
null
136
185
\begin{tikzpicture}[scale=0.58] \node[shape=circle,draw=black,line width=.7pt] (a) at (-4,0) {}; \node[shape=circle,draw=black,line width=.7pt] (b) at (0,0) {}; \node[shape=circle,draw=black,line width=.7pt] (c) at (4,0) {}; \node[shape=circle,draw=black,line width=.7pt] (d) at (8,0) {}; \node[shape=circle,draw=black,line width=.7pt] (e) at (12,0) {}; \draw[line width=.7pt] (a) to (b); \draw[line width=.7pt] (a) to [bend left=30] (b); \draw[line width=.7pt] (a) to [bend right=30] (b); \draw[line width=.7pt] (b) to [bend left=20] (c); \draw[line width=.7pt] (b) to [bend right=20] (c); \draw[line width=.7pt] (c) to (d); \draw[line width=.7pt] (c) to [bend left=30] (d); \draw[line width=.7pt] (c) to [bend right=30] (d); \draw[line width=.7pt] (d) to (e); \draw[line width=.7pt] (d) to [bend left=30] (e); \draw[line width=.7pt] (d) to [bend right=30] (e); \draw[line width=.7pt] (b) to [bend right=50] node[midway,fill=white] {bypass} (d); \end{tikzpicture}
plot
cs
null
null
null
null
null
null
null
null
null
null
280
230
\begin{tikzpicture}[scale = 1.3] \draw[thick,fill=gray!8] (-1,0) rectangle (1,1); \draw[thick,fill=gray!8] (0,-1) rectangle (1,1); \filldraw (0,0) circle (0.1); \end{tikzpicture}\hspace{0.8cm}
plot
cs
null
null
null
null
null
null
null
null
null
null
44
493
\begin{tikzpicture}[scale=6] \draw[->,ultra thick] (0, 0) -- (1, 0) node[right] {\large $u$}; \draw[->,ultra thick] (0, 0) -- (0,1) node[left] {\large MTE}; \draw[-,ultra thick] (0, 0) -- (0,-.5); \draw[-,dotted] (0.1, 0) -- (0.1,2.7/4); \draw (0.1,0) node[below]{\normalsize 0.1}; \draw (0,0) node[left]{\normalsize 0}; \draw[-,dotted] (0.4, 0) -- (.4,2.7/18); \draw (.4,0) node[below]{\normalsize 0.4}; \draw[-,dotted] (.6, 0) -- (.6,2.7/66); \draw (.6,0) node[below]{\normalsize 0.6}; \draw[-,dotted] (.9, 0) -- (0.9,2.7/514); \draw (0.9,0) node[below]{\normalsize 0.9}; \draw[-, ultra thick, black,domain=0:1] plot (\x,{ 2.7/(2 + 2^(10*\x))}); \draw[-, dashed, ultra thick, blue,domain=0:1] plot (\x,{ 2.7/4 -0.2*(2.7/(2^6+2) - 2.7/(2^1+2)) + 2*(2.7/(2^6+2) - 2.7/(2^1+2))*\x }); \draw[-, dotted, ultra thick, red,domain=0:1] plot (\x,{ 2.7/(2^4+2)- 0.8*(2.7/(2^9+2) - 2.7/(2^4+2)) + 2*(2.7/(2^9+2) - 2.7/(2^4+2))*\x }); \draw[fill,blue] (0.1,2.7/4) circle [radius=0.015]; \draw[fill,blue] (0.6,2.7/66) circle [radius=0.015]; \draw[fill,red] (0.4,2.7/18) circle [radius=0.015]; \draw[fill,red] (0.9,2.7/514) circle [radius=0.015]; \end{tikzpicture}
plot
econ
null
null
null
null
null
null
null
null
null
null
123
925
\begin{tikzpicture} \draw[thick] (-3,0)--(-2,0); \draw[ultra thick,->] (-2,0)--(-1,1.5/2); \draw[ultra thick] (0,1.5)--(-1,1.5/2); \draw[ultra thick] (-2,0)--(-1,-1.5/2); \draw[ultra thick,->] (0,-1.5)--(-1,-1.5/2); \draw[fill=yellow,thick] (-2,0) circle (0.7); \draw[fill=yellow,thick] (-0.5,1) rectangle (0.5,2); \draw[fill=yellow,thick] (-0.5,-1) rectangle (0.5,-2); \node at (-2,0) {U($r_{N}$)}; \node at (-3.5,0) {\dots}; \node at (0,1.5) {$L$}; \node at (0,-1.5) {$L$}; \end{tikzpicture}
plot
physics
null
null
null
null
null
null
null
null
null
null
330
789
\begin{tikzpicture}[scale=2.3] \draw[<->] (-1.5,0) -- (1.5,0) node[right] {$\Re(z)$}; \draw[<->] (0,-4) -- (0,4) node[above] {$\Im(z)$}; \foreach \y in {1-0.51413,2-0.51413,3-0.51413,4-0.51413} { \filldraw[blue] (0,\y) circle (0.5pt); } \foreach \y in {-0.51413,-1-0.51413,-2-0.51413,-3-0.51413} { \filldraw[blue] (0,\y) circle (0.5pt); } \draw[blue] (0,1-0.51413) node[right] {0}; \draw[blue] (0,2-0.51413) node[right] {0}; \draw[blue] (0,3-0.51413) node[right] {-1}; \draw[blue] (0,4-0.51413) node[right] {-3}; \draw[blue] (0,-0.51413) node[right] {-1}; \draw[blue] (0,-1.51413) node[right] {1}; \draw[blue] (0,-2.51413) node[right] {3}; \draw[blue] (0,-3.51413) node[right] {2}; \foreach \y in {0.17188,1+0.17188,2+0.17188,3+0.17188} { \filldraw[green] (0,\y) circle (0.5pt); } \foreach \y in {-1+0.17188,-2+0.17188,-3+0.17188,-4+0.17188} { \filldraw[green] (0,\y) circle (0.5pt); } \draw[green] (0,0.17188) node[left] {1}; \draw[green] (0,1+0.17188) node[left] {0}; \draw[green] (0,2+0.17188) node[left] {0}; \draw[green] (0,3+0.17188) node[left] {1}; \draw[green] (0,-1+0.17188) node[left] {1}; \draw[green] (0,-2+0.17188) node[left] {-1}; \draw[green] (0,-3+0.17188) node[left] {-3}; \draw[green] (0,-4+0.17188) node[left] {-1}; \foreach \y in {0.0029434,1+0.0029434,2+0.0029434,3+0.0029434} { \filldraw[purple] (0,\y) circle (0.5pt); } \foreach \y in {-1+0.0029434,-2+0.0029434,-3+0.0029434} { \filldraw[purple] (0,\y) circle (0.5pt); } \draw[purple] (0,0.0029434) node[right] {-1}; \draw[purple] (0,1+0.0029434) node[right] {1}; \draw[purple] (0,2+0.0029434) node[right] {0}; \draw[purple] (0,3+0.0029434) node[right] {-1}; \draw[purple] (0,-1+0.0029434) node[right] {-1}; \draw[purple] (0,-2+0.0029434) node[right] {2}; \draw[purple] (0,-3+0.0029434) node[right] {1}; \foreach \y in {1-0.23516,2-0.23516,3-0.23516,4-0.23516} { \filldraw[orange] (0,\y) circle (0.5pt); } \foreach \y in {-0.23516,-1-0.23516,-2-0.23516,-3-0.23516} { \filldraw[orange] (0,\y) circle (0.5pt); } \draw[orange] (0,1-0.23516) node[right] {-1}; \draw[orange] (0,2-0.23516) node[right] {-1}; \draw[orange] (0,3-0.23516) node[right] {1}; \draw[orange] (0,4-0.23516) node[right] {1}; \draw[orange] (0,-0.23516) node[right] {1}; \draw[orange] (0,-1-0.23516) node[right] {-2}; \draw[orange] (0,-2-0.23516) node[right] {-1}; \draw[orange] (0,-3-0.23516) node[right] {-1}; \foreach \y in {1-0.053934,2-0.053934,3-0.053934,4-0.053934} { \filldraw[yellow] (0,\y) circle (0.5pt); } \foreach \y in {-0.053934,-1-0.053934,-2-0.053934,-3-0.053934} { \filldraw[yellow] (0,\y) circle (0.5pt); } \draw[yellow] (0,1-0.053934) node[left] {0}; \draw[yellow] (0,2-0.053934) node[left] {-2}; \draw[yellow] (0,3-0.053934) node[left] {-2}; \draw[yellow] (0,4-0.053934) node[left] {-2}; \draw[yellow] (0,-0.053934) node[left] {0}; \draw[yellow] (0,-1-0.053934) node[left] {-1}; \draw[yellow] (0,-2-0.053934) node[left] {1}; \draw[yellow] (0,-3-0.053934) node[left] {2}; \foreach \y in {2.87670,3.87670} { \filldraw[pink] (-25*0.035425,\y) circle (0.5pt); \draw[pink,->] (-25*0.035425,\y) -- (-100*0.035425/\y,4); } \foreach \y in {0.87670,1.87670} { \filldraw[pink] (-25*0.035425,\y) circle (0.5pt); \draw[pink,->] (-25*0.035425,\y) -- (-1.5,\y*1.6937); } \foreach \y in {-3.12330} { \filldraw[pink] (-25*0.035425,\y) circle (0.5pt); \draw[pink,->] (-25*0.035425,\y) -- (100*0.035425/\y,-4); } \foreach \y in {-0.12330,-1.12330,-2.12330} { \filldraw[pink] (-25*0.035425,\y) circle (0.5pt); \draw[pink,->] (-25*0.035425,\y) -- (-1.5,\y*1.6937); } \draw[pink] (-25*0.035425,1-0.12330) node[right] {0}; \draw[pink] (-25*0.035425,2-0.12330) node[right] {2}; \draw[pink] (-25*0.035425,3-0.12330) node[right] {1}; \draw[pink] (-25*0.035425,4-0.12330) node[right] {0}; \draw[pink] (-25*0.035425,-0.12330) node[right] {1}; \draw[pink] (-25*0.035425,-1-0.12330) node[right] {-3}; \draw[pink] (-25*0.035425,-2-0.12330) node[right] {-1}; \draw[pink] (-25*0.035425,-3-0.12330) node[right] {2}; \foreach \y in {2.87670,3.87670} { \filldraw[magenta] (25*0.035425,\y) circle (0.5pt); \draw[magenta,->] (25*0.035425,\y) -- (100*0.035425/\y,4); } \foreach \y in {0.87670,1.87670} { \filldraw[magenta] (25*0.035425,\y) circle (0.5pt); \draw[magenta,->] (25*0.035425,\y) -- (1.5,\y*1.6937); } \foreach \y in {-2.12330,-3.12330} { \filldraw[magenta] (25*0.035425,\y) circle (0.5pt); \draw[magenta,->] (25*0.035425,\y) -- (-100*0.035425/\y,-4); } \foreach \y in {-0.12330,-1.12330} { \filldraw[magenta] (25*0.035425,\y) circle (0.5pt); \draw[magenta,->] (25*0.035425,\y) -- (1.5,\y*1.6937); } \draw[magenta] (25*0.035425,1+0.02-0.12330) node[left] {1}; \draw[magenta] (25*0.035425,2+0.02-0.12330) node[left] {2}; \draw[magenta] (25*0.035425,3+0.02-0.12330) node[left] {1}; \draw[magenta] (25*0.035425,4+0.02-0.12330) node[left] {1}; \draw[magenta] (25*0.035425,0.02-0.12330) node[left] {1}; \draw[magenta] (25*0.035425,0.02-1-0.12330) node[left] {-3}; \draw[magenta] (25*0.035425,0.02-2-0.12330) node[left] {-1}; \draw[magenta] (25*0.035425,0.02-3-0.12330) node[left] {3}; \end{tikzpicture}
plot
physics
null
null
null
null
null
null
null
null
null
null
350
453
\begin{tikzpicture}[scale=0.9] \node[draw, text width=3cm, text centered] (tnet) at (0,-0.5) {Transportation\\Network}; \node[draw, text width=3cm, text centered] (pg) at (0,2.5) {Power Grid}; \node[draw, text width=1.5cm, text centered] (buses) at (3.5,2.5) {Buses}; \node[draw, text width=1.5cm, text centered] (edges) at (3.5,-0.5) {SUMO Edges}; \node[draw] (parcels) at (5,1) {Parcels}; \node[draw, text width=2cm, text centered] (taz) at (6.5,2.5) {TAZs}; \node[draw, text width=2cm, text centered ] (veh) at (6.5,-1) {(Electric) Vehicle\\Estimates}; \draw[<->, dashed] (tnet) --(edges); \draw[<->, dashed] (pg) --(buses); \draw[<->] (buses) -- node[left] {(a)} (parcels); \draw[<->] (edges) -- node[left] {(b)} (parcels); \draw[<->] (taz) -- node[right] {(d)} (parcels); \draw[<->] (veh) -- node[left] {(c)} (parcels); \end{tikzpicture}
plot
eess
null
null
null
null
null
null
null
null
null
null
111
330
\begin{tikzpicture} [sibling distance=10em,level distance=5em] \node {EXPLOIT-UCB$(B)$} child { node {EXPLOIT-UCB$(\textcolor{blue}{nB^2})$} child { node {EXPLOIT-UCB$(\textcolor{brown}{2nB^2})$} child { node {EXPLOIT-UCB$(\textcolor{orange}{3nB^2})$} child { node {} edge from parent [dashed]} child { node {} edge from parent [dashed]} edge from parent node [left] {if $B_t$ reaches $\textcolor{orange}{3nB^2}$ for some $t_3\leq T$}} child { node {ruin with high proba} edge from parent node [right] {else}} edge from parent node [left] {if $B_t$ reaches $\textcolor{brown}{2nB^2}$ for some $t_2\leq T$}} child { node {ruin with high proba} edge from parent node [right] {else}} edge from parent node [left] {if $B_t$ reaches $\textcolor{blue}{nB^2}$ for some $t_1\leq T$}} child { node {ruin with high proba} edge from parent node [right] {else}}; \end{tikzpicture}
plot
stat
null
null
null
null
null
null
null
null
null
null
49
841
\begin{tikzpicture} \draw[->](-2,0)--(2,0); \draw[->](0,-1.5)--(0,1.5); \draw[red,thick,->](0,0)to[out=180,in=90](-0.3,-0.3)to[out=-90,in=180](0,-0.6)to[out=0,in=-180](2,0); \draw(1.9,1)--(1.6,1)--(1.6,1.3); \draw(1.8,1)node[above]{$t$}; \draw(1,1)node[above]{$\Gamma$}; \draw[->](2.3,0)--(6.3,0); \draw[->](4.3,-1.5)--(4.3,1.5); \draw[red,thick,->](4.3,0)to[out=30,in=-90](4.6,0.3)to[out=90,in=180](4.3,0.6)to[out=180,in=0](2.3,0); \draw(1.9+4.3,1)--(1.6+4.3,1)--(1.6+4.3,1.3); \draw(1.8+4.3,1)node[above]{$t'$}; \draw(-1+4.3,1)node[above]{$\Gamma'$}; \end{tikzpicture}
plot
physics
null
null
null
null
null
null
null
null
null
null
82
859
\begin{tikzpicture} \pgfmathsetmacro{\x}{-4} \pgfmathsetmacro{\y}{-4} \pgfmathsetmacro{\z}{-4} \path (0,0,\y) coordinate (A) (\x,0,\y) coordinate (B) (\x,0,0) coordinate (C) (0,0,0) coordinate (D) (0,\z,\y) coordinate (E) (\x,\z,\y) coordinate (F) (\x,\z,0) coordinate (G) (0,\z,0) coordinate (H); \filldraw[color=black, fill=gray!25] (-3.5,-2,-4) circle (0.15); \fill[fill=gray!25] (-3.606,-1.893,0) -- (-3.606,-1.893,-4) -- (-3.393,-2.106,-4) -- (-3.393,-2.106,0) -- cycle; \draw[black] (-3.606,-1.893,0) -- (-3.606,-1.893,-4); \draw[black] (-3.393,-2.106,0) -- (-3.393,-2.106,-4); \filldraw[color=black, fill=gray!25] (-3.5,-2,0) circle (0.15); \draw[line width=0.05mm,dash dot,color=black] (-3.65,-2,0) -- (-3.65,-1.4,0) ; \draw[line width=0.05mm,dash dot,color=black] (-3.35,-2,0) -- (-3.35,-1.4,0) ; \draw[line width=0.05mm,<->, color=black] (-3.35,-1.5,0) -- (-3.65,-1.5,0); \node[fill=none] at (-3.5,-1.25,0) {$D$}; \draw [black,-stealth] (-3,-2,-2) -- (-2.5,-2.0,-2) node [right] {$V$}; \draw [black] (0.5,-3.25) -- (0.5,0.75); \draw [-latex, black, rotate=90] (-1.5,-0.4) arc [start angle=-190, end angle=160, x radius=0.25, y radius=0.5] node [below left] {$\Gamma$}; \draw[thick,->] (-4.5,-3.5) -- (-4,-3.5) node[below]{$x$}; \draw[thick,->] (-4.5,-3.5) -- (-4.5,-3.) node[left]{$y$}; \draw[thick,->] (-4.5,-3.5) -- (-4.15,-3.15) node[above]{$z$}; \end{tikzpicture}
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\begin{tikzpicture}[shorten >=1pt,auto,node distance=4cm,-, thick,base node/.style={circle,draw,minimum size=48pt}, real node/.style={double,circle,draw,minimum size=50pt},scale = 1.2] \node[shape=circle,draw=black](0) at(0,0) []{}; \node[shape=circle,draw=black](1) at(-1,-1) []{}; \node[shape=circle,draw=black](2) at(-0.5,-1) []{}; \node[shape=circle,draw=black](3) at(0,-1) []{}; \node[shape=circle,draw=black](4) at(0.5,-1) []{}; \node[shape=circle,draw=black](5) at(1,-1) []{}; \path[] (0) edge [ ]node {} (1) (0) edge [ ]node {} (2) (0) edge [ ]node {} (3) (0) edge [ ]node {} (4) (0) edge [ ]node {} (5); \end{tikzpicture}
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\begin{tikzpicture}[scale=0.6,transform shape, thick] \node[circle,draw, fill=blue ] (a) at(0,0){}; \node[circle,draw,fill=blue] (b) at(2,0){}; \node[circle,draw, fill=black] (c) at(1,1){}; \node[circle,draw, fill=blue] (d) at(1,3){}; \node[circle,draw, fill=red] (e) at(0,4){}; \node[circle,draw,fill=red] (f) at(2,4){}; \draw[black] (a) --(c) -- (b); \draw (c) --(d); \draw[dotted, red] (d) --(e); \draw[dotted, red] (d) -- (f); \end{tikzpicture}
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\begin{tikzpicture}[scale=0.5] \draw (-5,0) node [below] {$a$}; \draw (5,0) node [below] {$b$}; \draw [dashed] (-5,0) -- (5,0); \draw [dashed] (-5,0) circle [radius=2]; \draw [dashed] (5,0) circle [radius=2]; \draw [blue] (4,1) arc [radius=1.5, start angle=135, end angle = 225]; \draw [blue] (2,2) arc [radius=3, start angle=135, end angle = 225]; \draw [blue] (0,2.5) arc [radius=3.5, start angle=135, end angle = 225]; \draw [blue] (-2,3) arc [radius=4, start angle=135, end angle = 225]; \draw (0,0) node [above] {$R$}; \draw (5,2) node [above] {$\mathcal{R}_b$}; \draw (-5,2) node [above] {$\mathcal{R}_a$}; \draw [blue] (5,-5) node [below] {$t$, "Causal influence" of the signal}; \draw [blue] [->] (5,-4) -- (0,-4); \end{tikzpicture}
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\begin{tikzpicture} \draw[lime, fill=lime] (0,0) circle [radius=0.2] node[white] {{\fontfamily{qag}\selectfont \tiny ID}}; \draw[white, fill=white] (-0.0625,0.095) circle [radius=0.007]; \end{tikzpicture}
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\begin{tikzpicture}[line width=1.5pt] \draw (-0.2,0) --++(7,0) ; %time axis \foreach \i in{0,2.2,4.4,6.6}{\draw [thin](\i,0.1)--++(0,-0.2);} \draw[red,dashed] (0, 0.2) .. controls (5.3,1.8) .. (6.6, 0.4); \draw[olive,densely dashdotted] (0, 0.3) .. controls (3.3,1.8) .. (6.6, 0.3); \draw[blue] (0, 0.4) .. controls (1.3,1.8) .. (6.6, 0.2); \draw[blue, dotted, line width=1] (1.5,1.4)--++(0,-1.3)node[below]{$\beta^{k_1^*}_1$}; \draw[red, dotted, line width=1] (5.2,1.4)--++(0,-1.3)node[below]{$\beta^{k_1^*}_1$}; \draw[olive, densely dashdotted, line width=1] (3.5,1.4)--++(0,-1.3)node[below]{$\beta^{k_1^*}_1$}; \node at (0,-0.3) {{$\beta^{k^A}_1$}}; \node at (2.2,-0.3) {{$\beta^{k^B}_1$}}; \draw [decorate,decoration={brace,mirror,amplitude=10pt},yshift=0pt,line width=1pt] (2.2,-0.5) -- (4.4,-0.5) ; \node at (3.3,-1.1) {\footnotesize$\Delta^1_{B_1,C_1}$}; \node at (4.4,-0.3) {{$\beta^{k^C}_1$}}; \node at (6.6,-0.3) {{$\beta^{k^D}_1$}}; \node[blue] at (0.2,1.7){Case 1}; \node[red] at (6.2,1.7){Case 2}; \node[olive] at (3.2,1.7){Case 0}; \end{tikzpicture}
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\begin{tikzpicture} \draw [thick,->](0,0) -- (5.5,0); \draw [thick,->](0,0) -- (0,5.5); \fill [gray!50](1,5.5) -- (1,3.5) -- (3.5,1) -- (5.5,1) -- (5.5,5.5); \draw [thin](0,1) -- (5.5,1); \draw [thin](0,3.5) -- (5.5,3.5); \draw [thin](1,0) -- (1,5.5); \draw [thin](3.5,0) -- (3.5,5.5); \draw [thin](4.5,0) -- (0,4.5); \draw [thin](1,5.5) -- (1,3.5) -- (3.5,1) -- (5.5,1); \filldraw[black] (1,0) circle (0.1pt) node[anchor=north] {$H(\mathbf{X}|\mathbf{Y})$}; \filldraw[black] (3.5,0) circle (0.1pt) node[anchor=north] {$H(\mathbf{X})$}; \filldraw[black] (4.7,0) circle (0.1pt) node[anchor=north] {$H(\mathbf{X},\mathbf{Y})$}; \filldraw[black] (0,1) circle (0.1pt) node[anchor=east] {$H(\mathbf{Y}|\mathbf{X})$}; \filldraw[black] (0,3.5) circle (0.1pt) node[anchor=east] {$H(\mathbf{Y})$}; \filldraw[black] (0,4.5) circle (0.1pt) node[anchor=east] {$H(\mathbf{X},\mathbf{Y})$}; \filldraw[black] (5.8,0) circle (0.1pt) node[anchor=north] {$R_\mathbf{X}$}; \filldraw[black] (0,5.5) circle (0.1pt) node[anchor=east] {$R_\mathbf{Y}$}; \filldraw[black] (0,0) circle (0.1pt) node[anchor=east] {$0$}; \end{tikzpicture}
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\begin{tikzpicture}\footnotesize \begin{axis}[ legend style={at={(0.5,-0.22)}, anchor=north,legend columns=2}, ylabel=Acc (\%), width=4.7cm, height=3.8cm, ymin=10, ymax=70, xtick={1, 2, 3, 4, 5}, xticklabels={1\%, 5\%, 10\%, 20\%, 30\%}, xlabel near ticks, ylabel near ticks, xtick pos=left, ytick pos=left, ytick align=inside, xtick align=inside, ymajorgrids=true, grid style=dashed, legend style={nodes={scale=0.6, transform shape}}, every node near coord/.append style={font=\tiny}, ] \addplot+[semithick,mark=x,mark options={scale=0.6}, red!40!white] plot coordinates { (1, 25.39) (2, 49.89) (3, 60.67) (4, 65.39) (5, 69.44) }; \addplot+[semithick,mark=x,mark options={scale=0.6}, blue!30!white] plot coordinates { (1, 20.45) (2, 45.62) (3, 55.28) (4, 64.72) (5, 67.42) }; \addplot+[semithick,mark=x,mark options={scale=0.6}, brown!50!white] plot coordinates { (1, 15.28) (2, 47.87) (3, 59.10) (4, 63.15) (5, 66.74) };; \addplot+[semithick,mark=x,mark options={scale=0.6}, gray!40!white] plot coordinates { (1, 11.46) (2, 17.30) (3, 50.34) (4, 61.80) (5, 66.97) }; \end{axis} \end{tikzpicture}
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\begin{tikzpicture} \path node (LL) {} ++ (0.25\textwidth, 0.25\textheight) node (UR) {} (LL -| UR) node (LR) {} (LL |- UR) node (UL) {}; \draw (LL) rectangle (UR) (LL) -- (UR) (UL) -- (LR); \end{tikzpicture}%
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\begin{tikzpicture} \begin{axis}[ width=\textwidth, height=6cm, xtick={0,0.2,0.4,0.6,0.8}, xlabel={Probability Values}, ylabel=F1-Score, ymin=0.4, ymax=0.65, legend style={at={(0.5,0.99)}, anchor=north, legend columns=-1}, ybar=0.75, bar width=15pt, % Adjusted bar width enlarge x limits=0.3, % Adjusted enlargement ] \addplot[fill=red!30, draw=black, error bars/.cd, y dir=both, y explicit] coordinates { (0.2, 0.5691) +- (0, 0.020) (0.4, 0.5617) +- (0, 0.034) (0.6, 0.5522) +- (0, 0.014) (0.8, 0.5503) +- (0, 0.009) }; \addplot[fill=green!30, draw=black, error bars/.cd, y dir=both, y explicit] coordinates { (0.2, 0.5774) +- (0, 0.024) (0.4, 0.5731) +- (0, 0.017) (0.6, 0.591) +- (0, 0.017) (0.8, 0.5747) +- (0, 0.025) }; \node[anchor=north] at (axis cs:0, 0.5594) {}; \draw[blue, dashed] (axis cs:0.1, 0.5594) -- (axis cs:0.9, 0.5594); \legend{Random Erasing, Attention Guided Erasing (Ours)} \end{axis} \end{tikzpicture}
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\begin{tikzpicture}\footnotesize \begin{axis}[ legend style={at={(0.5,-0.22)}, anchor=north,legend columns=2}, ylabel=ACC (\%), width=4.7cm, height=3.8cm, ymin=7, ymax=88, xtick={1, 2, 3, 4, 5}, xticklabels={1\%, 5\%, 10\%, 20\%, 30\%}, xlabel near ticks, ylabel near ticks, xtick pos=left, ytick pos=left, ytick align=inside, xtick align=inside, ymajorgrids=true, grid style=dashed, legend style={nodes={scale=0.6, transform shape}}, every node near coord/.append style={font=\tiny}, ] \addplot+[semithick,mark=x,mark options={scale=0.6}, red!40!white] plot coordinates { (1, 78.43) (2, 83.37) (3, 84.49) (4, 86.07) (5, 86.72) }; \addplot+[semithick,mark=x,mark options={scale=0.6}, blue!30!white] plot coordinates { (1, 57.08) (2, 77.75) (3, 81.12) (4, 82.02) (5, 84.27) }; \addplot+[semithick,mark=x,mark options={scale=0.6}, brown!50!white] plot coordinates { (1, 7.87) (2, 49.67) (3, 60.67) (4, 60.67) (5, 68.76) };; \addplot+[semithick,mark=x,mark options={scale=0.6}, gray!40!white] plot coordinates { (1, 55.73) (2, 55.73) (3, 82.02) (4, 80.45) (5, 83.82) }; \end{axis} \end{tikzpicture}
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\begin{tikzpicture}[x=0.75pt,y=0.75pt,yscale=-1,xscale=1] \draw [line width=1.5] (349.1,145.25) -- (359.85,145.25) ; \draw [shift={(349.1,145.25)}, rotate = 0] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][fill={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=1.5] (0, 0) circle [x radius= 2.61, y radius= 2.61] ; \draw [line width=1.5] (288.85,145) -- (299.6,145) ; \draw [shift={(299.6,145)}, rotate = 0] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][fill={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=1.5] (0, 0) circle [x radius= 2.61, y radius= 2.61] ; \draw [fill={rgb, 255:red, 255; green, 255; blue, 255 } ,fill opacity=1 ] (299.85,120.75) -- (348.85,120.75) -- (348.85,169.75) -- (299.85,169.75) -- cycle ; \draw [draw opacity=0][fill={rgb, 255:red, 128; green, 128; blue, 128 } ,fill opacity=1 ] (306.48,127.38) -- (342.23,127.38) -- (342.23,163.13) -- (306.48,163.13) -- cycle ; \draw [line width=3.75] [dash pattern={on 9pt off 4.5pt}] (132.1,103.5) .. controls (202.1,76.5) and (201.1,83) .. (238.6,90.5) ; \draw (132.1,103.5) .. controls (174.1,90) and (173.6,76.5) .. (238.6,90.5) ; \draw (308.6,90) .. controls (348.1,71.5) and (389.6,112) .. (408.6,90) ; \draw [line width=3.75] [dash pattern={on 9pt off 4.5pt}] (314.6,88.5) .. controls (340.6,74.5) and (391.6,109.5) .. (408.6,90) ; \draw (246.1,33) .. controls (249.6,56.5) and (271.1,52) .. (275.6,70.5) ; \draw [line width=3.75] [dash pattern={on 9pt off 4.5pt}] (246.1,33) .. controls (247.6,51) and (264.6,50.5) .. (273.1,66) ; \draw [color={rgb, 255:red, 128; green, 128; blue, 128 } ,draw opacity=1 ][fill={rgb, 255:red, 255; green, 255; blue, 255 } ,fill opacity=1 ][line width=0.75] (235.6,68) -- (310.6,68) -- (310.6,110.5) -- (235.6,110.5) -- cycle ; \draw [color={rgb, 255:red, 155; green, 155; blue, 155 } ,draw opacity=1 ] [dash pattern={on 0.84pt off 2.51pt}] (195.1,87) -- (252.35,131) ; \draw [color={rgb, 255:red, 155; green, 155; blue, 155 } ,draw opacity=1 ] [dash pattern={on 0.84pt off 2.51pt}] (184.6,88.5) -- (130.1,130) ; \draw [fill={rgb, 255:red, 239; green, 239; blue, 239 } ,fill opacity=1 ] (130.1,130) -- (252.35,130) -- (252.35,149.5) -- (130.1,149.5) -- cycle ; \draw (147.35,139.75) -- (158.1,139.75) ; \draw [shift={(158.1,139.75)}, rotate = 0] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][fill={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (0, 0) circle [x radius= 1.34, y radius= 1.34] ; \draw [shift={(147.35,139.75)}, rotate = 0] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][fill={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (0, 0) circle [x radius= 1.34, y radius= 1.34] ; \draw (173.02,139.92) -- (183.77,139.92) ; \draw [shift={(183.77,139.92)}, rotate = 0] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][fill={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (0, 0) circle [x radius= 1.34, y radius= 1.34] ; \draw [shift={(173.02,139.92)}, rotate = 0] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][fill={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (0, 0) circle [x radius= 1.34, y radius= 1.34] ; \draw (198.6,140) -- (209.35,140) ; \draw [shift={(209.35,140)}, rotate = 0] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][fill={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (0, 0) circle [x radius= 1.34, y radius= 1.34] ; \draw [shift={(198.6,140)}, rotate = 0] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][fill={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (0, 0) circle [x radius= 1.34, y radius= 1.34] ; \draw (224.35,139.75) -- (235.1,139.75) ; \draw [shift={(235.1,139.75)}, rotate = 0] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][fill={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (0, 0) circle [x radius= 1.34, y radius= 1.34] ; \draw [shift={(224.35,139.75)}, rotate = 0] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][fill={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (0, 0) circle [x radius= 1.34, y radius= 1.34] ; \draw [color={rgb, 255:red, 155; green, 155; blue, 155 } ,draw opacity=1 ] [dash pattern={on 0.84pt off 2.51pt}] (252.35,130) -- (299.85,120.75) ; \draw [color={rgb, 255:red, 155; green, 155; blue, 155 } ,draw opacity=1 ] [dash pattern={on 0.84pt off 2.51pt}] (249.6,147) -- (299.1,169) ; \draw [fill={rgb, 255:red, 239; green, 239; blue, 239 } ,fill opacity=1 ] (327.6,132.5) -- (337.85,132.5) -- (337.85,142.75) -- (327.6,142.75) -- cycle ; \draw [fill={rgb, 255:red, 239; green, 239; blue, 239 } ,fill opacity=1 ] (327.6,147.5) -- (337.85,147.5) -- (337.85,157.75) -- (327.6,157.75) -- cycle ; \draw [fill={rgb, 255:red, 239; green, 239; blue, 239 } ,fill opacity=1 ] (310.85,132.5) -- (321.1,132.5) -- (321.1,142.75) -- (310.85,142.75) -- cycle ; \draw [fill={rgb, 255:red, 239; green, 239; blue, 239 } ,fill opacity=1 ] (310.85,147.5) -- (321.1,147.5) -- (321.1,157.75) -- (310.85,157.75) -- cycle ; \draw (367.6,120.5) .. controls (349.93,123.37) and (344.35,130.33) .. (332.89,137.16) ; \draw [shift={(331.23,138.13)}, rotate = 330.56] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (4.37,-1.96) .. controls (2.78,-0.92) and (1.32,-0.27) .. (0,0) .. controls (1.32,0.27) and (2.78,0.92) .. (4.37,1.96) ; \draw [fill={rgb, 255:red, 255; green, 255; blue, 255 } ,fill opacity=1 ] (158.1,132.5) -- (172.6,132.5) -- (172.6,147) -- (158.1,147) -- cycle ; \draw [fill={rgb, 255:red, 255; green, 255; blue, 255 } ,fill opacity=1 ] (183.77,132.67) -- (198.27,132.67) -- (198.27,147.17) -- (183.77,147.17) -- cycle ; \draw [fill={rgb, 255:red, 255; green, 255; blue, 255 } ,fill opacity=1 ] (209.35,132.75) -- (223.85,132.75) -- (223.85,147.25) -- (209.35,147.25) -- cycle ; \draw [color={rgb, 255:red, 0; green, 0; blue, 0 } ,draw opacity=1 ] (371.6,163) .. controls (360.62,167.78) and (362.77,160.51) .. (357.95,148.81) ; \draw [shift={(357.23,147.13)}, rotate = 65.5] [color={rgb, 255:red, 0; green, 0; blue, 0 } ,draw opacity=1 ][line width=0.75] (4.37,-1.96) .. controls (2.78,-0.92) and (1.32,-0.27) .. (0,0) .. controls (1.32,0.27) and (2.78,0.92) .. (4.37,1.96) ; \draw (363.6,196.5) .. controls (346.89,186.95) and (348.42,176.76) .. (343.03,164.82) ; \draw [shift={(342.23,163.13)}, rotate = 63.3] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (4.37,-1.96) .. controls (2.78,-0.92) and (1.32,-0.27) .. (0,0) .. controls (1.32,0.27) and (2.78,0.92) .. (4.37,1.96) ; \draw (116.93,139.92) -- (132.1,139.92) ; \draw [shift={(132.1,139.92)}, rotate = 0] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][fill={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (0, 0) circle [x radius= 1.34, y radius= 1.34] ; \draw [shift={(116.93,139.92)}, rotate = 0] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][fill={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (0, 0) circle [x radius= 1.34, y radius= 1.34] ; \draw [fill={rgb, 255:red, 255; green, 255; blue, 255 } ,fill opacity=1 ] (132.6,132.5) -- (147.1,132.5) -- (147.1,147) -- (132.6,147) -- cycle ; \draw (249.93,139.92) -- (265.93,139.92) ; \draw [shift={(265.93,139.92)}, rotate = 0] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][fill={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (0, 0) circle [x radius= 1.34, y radius= 1.34] ; \draw [shift={(249.93,139.92)}, rotate = 0] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][fill={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (0, 0) circle [x radius= 1.34, y radius= 1.34] ; \draw [fill={rgb, 255:red, 255; green, 255; blue, 255 } ,fill opacity=1 ] (235.1,132.5) -- (249.6,132.5) -- (249.6,147) -- (235.1,147) -- cycle ; \draw (154.3,154) node [anchor=north west][inner sep=0.75pt] [font=\small,xscale=1.2,yscale=1.2] [align=left] {Radio Stripe}; \draw (309.1,172.5) node [anchor=north west][inner sep=0.75pt] [font=\small,xscale=1.2,yscale=1.2] [align=left] {APU}; \draw (369.6,102.5) node [anchor=north west][inner sep=0.75pt] [font=\footnotesize,xscale=1.2,yscale=1.2] [align=left] {Antenna}; \draw (405.01,153.19) node [font=\footnotesize,xscale=1.2,yscale=1.2] [align=left] {Connector}; \draw (364.9,191.5) node [anchor=north west][inner sep=0.75pt] [font=\footnotesize,xscale=1.2,yscale=1.2] [align=left] {DSP circuits}; \draw (370,113.7) node [anchor=north west][inner sep=0.75pt] [font=\footnotesize,xscale=1.2,yscale=1.2] [align=left] {element}; \draw (376.4,158.5) node [anchor=north west][inner sep=0.75pt] [font=\scriptsize,xscale=1.2,yscale=1.2] [align=left] {(power, clock}; \draw (378.4,170.5) node [anchor=north west][inner sep=0.75pt] [font=\scriptsize,xscale=1.2,yscale=1.2] [align=left] {fronthaul)}; \draw (273.1,89.25) node [font=\small,xscale=1.2,yscale=1.2] [align=left] {CPU}; \end{tikzpicture}
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\begin{tikzpicture}[scale=1.1,pin distance=0.5cm] \draw[step=0.125in,gray,very thin] (0,0) grid (2.0in,1.5in); \draw[thick,->] (-0.1in,0) -- (2.1in,0) node[below left] {Tokens}; \draw[thick,->] (0,-0.1in) -- (0,1.6in) node[below left] {$\mathrm{pAUC}$}; \foreach \y in {0.6,0.7,0.8,0.9} \draw (1pt,3*\y-1.5) -- (-1pt,3*\y-1.5) node[left] {\y}; \foreach \x in {128, 384, 640, 896} \draw (\x/5/128,1pt) -- (\x/5/128,-1pt) node[below] {\x}; \definecolor{c0}{RGB}{51,34,136} \definecolor{c1}{RGB}{68,170,153} \definecolor{c2}{RGB}{136,204,238} \definecolor{c3}{RGB}{17,119,51} \definecolor{c4}{RGB}{153,153,51} \draw[c0,ultra thick] (0.2,0.281) -- (0.4,0.644) -- (0.6,0.911) -- (0.8,1.087) node[pin=120:UAR]{} -- (1.0,1.213) -- (1.2,1.299) -- (1.4,1.354) -- (1.6,1.394) -- (1.8,1.420) -- (2.0,1.442); \draw[c1,ultra thick] (0.2,0.318) -- (0.4,0.637) -- (0.6,0.867) -- (0.8,1.038) -- (1.0,1.159) -- (1.2,1.240) -- (1.4,1.299) node[pin={[pin distance=2ex]120:{UAR Multi-domain}}]{} -- (1.6,1.346) -- (1.8,1.374) -- (2.0,1.403); \draw[c2,ultra thick] (0.2,0.352) -- (0.4,0.644) -- (0.6,0.846) -- (0.8,1.011) -- (1.0,1.114) -- (1.2,1.188) -- (1.4,1.245) -- (1.6,1.282) -- (1.8,1.316) -- node[pin=120:ProtoNet]{} (2.0,1.343) ; \draw[c3,ultra thick] (0.2,0.350) -- node[pin={[pin distance=6ex]92:{Mutli-LLM}}]{} (0.4,0.656) -- (0.6,0.871) -- (0.8,1.030) -- (1.0,1.130) -- (1.2,1.199) -- (1.4,1.244) -- (1.6,1.277) -- (1.8,1.296) -- (2.0,1.320); \draw[c4,ultra thick] (0.2,0.234) -- (0.4,0.528) -- (0.6,0.748) -- (0.8,0.908) -- (1.0,1.016) -- (1.2,1.093) -- (1.4,1.159) -- (1.6,1.223) -- (1.8,1.269) -- (2.0,1.299) node[pin=210:CISR]{}; \draw[c0,ultra thick] (0.2,0.136) -- (0.4,0.276) -- (0.6,0.351) -- (0.8,0.443) -- (1.0,0.486) -- (1.2,0.588) -- (1.4,0.617) node[pin=170:MAML]{} -- (1.6,0.575) -- (1.8,0.587) -- (2.0,0.556); \draw[c1,ultra thick] (0.2,0.149) -- (0.4,0.245) -- (0.6,0.315) -- (0.8,0.396) -- (1.0,0.453) -- (1.2,0.503) -- (1.4,0.484) -- (1.6,0.483) -- (1.8,0.503) -- (2.0,0.476) node[pin=190:AI Detector]{}; \draw[c3,ultra thick] (0.2,0.067) -- (0.4,0.161) -- (0.6,0.240) -- (0.8,0.292) node[pin=345:SBERT]{} -- (1.0,0.363) -- (1.2,0.420) -- (1.4,0.485) -- (1.6,0.535) -- (1.8,0.600) -- (2.0,0.647); \end{tikzpicture}
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\begin{tikzpicture}[scale = 1, baseline = 1pt] \coordinate (1) at (0pt, 4pt); \coordinate (2) at (7pt, 4pt); \draw (1) to (2); \filldraw[fill=black] (1) circle[radius = 1.5pt]; \end{tikzpicture}
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\begin{tikzpicture} \draw (0, 4) node[rectangle, draw] (get-model) {\texttt{model = interface.get\_model()}}; \draw (0, 3) node[rectangle, draw] (get-config) {\texttt{cfg = model.get\_configuration()}}; \draw (0, 2) node[rectangle, draw] (modify) {Modify \texttt{cfg} as desired}; \draw (0, 1) node[rectangle, draw] (apply-config) {\texttt{model.apply\_configuration(cfg)}}; \draw[->] (0, 5) -- (get-model.north); \draw[->] (get-model.south) -- (get-config.north); \draw[->] (get-config.south) -- (modify.north); \draw[->] (modify.south) -- (apply-config.north); \draw[->] (apply-config.south) -- (0, 0) -- (-4, 0) -- (-4, 3) -- (get-config.west); \end{tikzpicture}
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\begin{tikzpicture}[xscale=0.70,yscale=0.50] \draw [fill=gray, gray] (-8,-0.5) rectangle (0.0,0.5); \node[above] at (-4.0,0.5) {$R_t^\epsilon(t)$}; \draw [->,thick] (-4.0,0.8) -- (-4.0,0.0); \draw[fill=gray, gray] (0,-0.5) arc (-90:90:0.5) -- cycle; \draw [-,thick] (-8,0) -- (-0.0,0); \draw [thick] (-8,-5) rectangle (8,5); \node [above] at (-1.6,0) {$\epsilon$}; \node [below] at (-1.6,0) {$\epsilon$}; \draw [thick] (-1.3,.5) -- (-1.1,.5); \draw [<->,thick] (-1.215,.5) -- (-1.215,0); \draw [<->,thick] (-1.215,-.5) -- (-1.215,0); \draw [thick] (-1.3,-.5) -- (-1.1,-.5); \draw [->,thick] (0.0,-1.0) -- (0.0,-0.1); \node at (0.5,-1.5) { $\ell^\epsilon(t)$}; \draw [->,thick] (-7,-1.0) -- (-7,-0.1); \node at (-7,-1.5) { $\ell(0)$}; \end{tikzpicture}
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\begin{tikzpicture}[scale=0.5] \draw[line width=1,red] (0,0)node[below, color=red] {$\mathcal{A}$}--(2,2)--(0,4)node[below, color=red] {$\mathcal{A}$} ; \draw[line width=1,red] (2,2)--(5,2)node[below, color=red] {$\mathcal{A}$}; \node[below, color=black] at (6.5,2.2) {$=$}; \begin{scope}[shift={(8.5, -0.6)}] \draw[line width=0.8, color=black] (4.7, 2.3)node[below, color=black] {$\mathcal{D}$} arc (90: 140: 6); \draw[line width=0.8, color=black] (0.1, 4.7) node[right, color=black] {$\mathcal{D}$}arc (220: 270: 6); \draw[line width=0.8, color=black] (-0.25, 0.4) node[left, color=black] {$\mathcal{D}$}arc (-55: 55: 2.5); \end{scope} \end{tikzpicture}
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\begin{tikzpicture}[ nd/.style={outer sep=0, inner sep=2,right}, arr/.style={{Stealth[length=1.2mm]}-{Stealth[length=1.2mm]}}, ] \draw +(0 ,0) node[nd] {[} ++(1.1ex, 0) node[nd] (0) {1} ++(1.2ex ,0) node[nd] (1) {1} ++(1.2ex ,0) node[nd] (2) {1} ++(1.2ex ,0) node[nd] (3) {1} ++(1.4ex ,0) node[nd] (4) {1} ++(1.2ex ,0) node[nd] (5) {1} ++(1.2ex ,0) node[nd] (6) {1} ++(1.2ex ,0) node[nd] (7) {1} ++(1.5ex ,0) node[nd] (8) {0} ++(1.2ex ,0) node[nd] (9) {0} ++(1.2ex ,0) node[nd] (a) {0} ++(1.2ex ,0) node[nd] (b) {0} ++(1.4ex ,0) node[nd] (c) {0} ++(1.2ex ,0) node[nd] (d) {0} ++(1.2ex ,0) node[nd] (e) {0} ++(1.2ex ,0) node[nd] (f) {0} +(1.2ex ,-0.4em) node[nd]{,} +(2.2ex ,-0.07em) node[nd, right] {\ $\mathrm{Id}$\,],}; \end{tikzpicture}
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\begin{tikzpicture} \draw[color=blue, domain=0:360, smooth, variable=\t, samples=200] plot ({cos(\t) + 0.05*sin(5*\t) + 0.03*sin(7*\t)}, {sin(\t) + 0.05*cos(5*\t) + 0.03*cos(7*\t)}); \fill[color=blue, opacity=.2, domain=0:360, smooth, variable=\t, samples=200] plot ({cos(\t) + 0.05*sin(5*\t) + 0.03*sin(7*\t)}, {sin(\t) + 0.05*cos(5*\t) + 0.03*cos(7*\t)}); \node[color=blue] at (0,0) {$\Omega_0$}; \begin{scope}[rotate=36] \draw[color=purple, fill=purple, fill opacity=.2] (2.3,0) ellipse(.5 and 1); \draw[color=purple, fill=white, fill opacity=.9] (2.3,0) ellipse(.43 and .93); \filldraw[color=purple, fill={purple!30!white}, fill opacity=.7] (2.1913043478260867, 0.9760845356801586) -- (0.657391304347826, 0.2928253607040476) arc (102.55585779858599:257.444142201414:.15 and .3) -- (2.1913043478260867, -0.9760845356801586) arc (257.444142201414:102.55585779858599:.5 and 1); \draw[color=purple, very thin] (.69,0) ellipse(.15 and .3); \draw[color=purple, very thin] (.69,0) ellipse(.129 and .279); \node[color=purple] at (3.05,0) {$\Omega_1$}; \end{scope} \begin{scope}[rotate=150, shift={(-.3,0)}] \draw[color=purple, fill=purple, fill opacity=.2] (2.5,0) ellipse(.1 and .2); \draw[color=purple, fill=white, fill opacity=.9] (2.5,0) ellipse(.08 and .17); \filldraw[color=purple, fill={purple!30!white}, fill opacity=.7] (2.504, 0.19983993594874874) -- (0.90144, 0.07194237694154955) arc (92.29244277595589:267.7075572240441:.036 and .072) -- (2.504, -0.19983993594874874) arc (267.7075572240441:92.29244277595589:.1 and .2); \draw[color=purple, very thin] (.9,0) ellipse(.036 and .072); \draw[color=purple, very thin] (.9,0) ellipse(.0288 and .0612); \node[color=purple] at (10:1.75) {$\Omega_2$}; \end{scope} \begin{scope}[rotate=190] \draw[color=purple, fill=purple, fill opacity=.2] (2.5,0) ellipse(.1 and .2); \filldraw[color=purple, fill={purple!30!white}, fill opacity=.7] (2.504, 0.19983993594874874) -- (0.90144, 0.07194237694154955) arc (92.29244277595589:267.7075572240441:.036 and .072) -- (2.504, -0.19983993594874874) arc (267.7075572240441:92.29244277595589:.1 and .2); \node[color=purple] at (11.5:1.75) {$\Omega_3$}; \end{scope} \begin{scope}[shift={(-.5,0)}, rotate=330] \draw[color=purple, fill=purple, fill opacity=.2] (2.5,0) ellipse(.1 and .2); \draw[color=purple, fill=white, fill opacity=.9] (2.5,0) ellipse(.03 and .1); \filldraw[color=purple, fill={purple!30!white}, fill opacity=.7] (2.504, 0.19983993594874874) -- (0.90144, 0.07194237694154955) arc (92.29244277595589:267.7075572240441:.036 and .072) -- (2.504, -0.19983993594874874) arc (267.7075572240441:92.29244277595589:.1 and .2); \draw[color=purple, very thin] (.9,0) ellipse(.036 and .072); \draw[color=purple, very thin] (.9,0) ellipse(.0108 and .036); \node[color=purple] at (11:1.75) {$\Omega_4$}; \end{scope} \end{tikzpicture}
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\begin{tikzpicture} \filldraw[black] (0,0) circle (2pt)node[anchor=east]{$1$}; \filldraw[black] (2,0) circle (2pt)node[anchor=north]{$4$}; \filldraw[black] (1,1) circle (2pt)node[anchor=south]{$2$}; \filldraw[black] (1,-1) circle (2pt)node[anchor=north]{$3$}; \filldraw[black] (4,0) circle (2pt)node[anchor=north]{$5$}; \draw[black] (0,0) -- (1,-1); \draw[black] (0,0) -- (1,1); \draw[black] (1,1) -- (1,-1); \draw[black] (1,1) -- (2,0); \draw[black] (1,-1) -- (2,0); \draw[black] (2,0) -- (4,0); \end{tikzpicture}
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\begin{tikzpicture}[level distance=1.5cm, level 1/.style={sibling distance=3cm}, level 2/.style={sibling distance=1.5cm}] \node {$a_{1,1}$} child {node {$a_{2,1}$} child {node {$a_{3,1}$}} child {node {$a_{3,2}$}} } child {node {$a_{2,2}$} child {node {$a_{3,3}$}} child {node {$a_{3,4}$}} }; \end{tikzpicture}
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\begin{tikzpicture}[baseline=0] \tikzset{>=latex} \draw [help lines,line width=2pt,-] (-3,-3) -- (3,3); \draw [help lines,line width=2pt,-] (-3,3) -- (3,-3); \draw [->,line width=3pt,red] (0,0)--(2,2) node[right,scale=2,red] {$p_4$}; \draw [->,line width=3pt,red] (0,0)--(-2,2) node[left,scale=2,red] {$p_3$}; \draw [->,line width=3pt,blue] (0,0)--(-1,-1) node[left,scale=2,blue] {$-p_1$}; \draw [->,line width=3pt,blue] (0,0)--(1,-1) node[right,scale=2,blue] {$-p_2$}; \draw [->,line width=5pt,black] (0,0)--(0,2) node[yshift=.4cm,scale=2,black] {$Q$}; \end{tikzpicture}
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\begin{tikzpicture} \draw (-4,0) node {\begin{tabular}{r|ccc} $p$ & $d$ & $e$ & $f$ \\ \hline $a$ & $\times$ & & \\ $b$ & & $\times$ & \\ $c$ & & & $\times$ \end{tabular}}; \draw (4,0) node {\begin{tabular}{r|ccc} $q$ & $a$ & $b$ & $c$\\ \hline $d$ & $\times$ & & \\ $e$ & & $\times$ & \\ $f$ & & & $\times$ \end{tabular}}; \end{tikzpicture}
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\begin{tikzpicture}[scale=0.92] \begin{axis}[ title={Retention vs Inference Speed}, xlabel={Relative Inference Speed (1/FLOPs)}, ylabel={Improvement Over Baseline}, ylabel style={yshift=-5pt, inner sep=-1pt}, xmin=0, xmax=1., ymin=0., ymax=0.9, grid=both, scatter/classes={ a={mark=*,draw=black} } ] \addplot[ scatter, only marks, scatter src=explicit symbolic, mark options={scale=1.3} ]table[meta=label] { x y label 0.1 0.205 a 0.72 0.712 a 0.35 0.102 a 1.0 0.101 a }; \addplot[smooth, thick, gray, line width=2pt] coordinates { (0 , 0.17) (0.2, 0.146) (0.4, 0.122) (0.6, 0.098) (1.0, 0.05) }; \node at (axis cs:0.2,0.235) [above] {GPT3.5 (175B)}; \node at (axis cs:0.72,0.742) [above] {Blend (13,6,6B)}; \node at (axis cs:0.38,0.132) [above] {Vicuna+ (13B)}; \node at (axis cs:0.825, 0.131) [above] {ChaiLLM (6B)}; \end{axis} \end{tikzpicture}
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305
981
\begin{tikzpicture}[scale=1.2, line width=1pt,rotate=30] \fill[even odd rule, fill=gray!15] (0, 0) circle (2) (0, 0.8) circle (1.2) (0.2,-1.18) circle (0.8) (-1.17,-0.65) circle (0.65); \draw [] (0, 0) circle (2); \draw [] (0, 0.8) circle (1.19); \draw [] (0.2,-1.18) circle (0.8); \draw [] (-1.17,-0.64) circle (0.655); \end{tikzpicture}
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34
13
\begin{tikzpicture} \draw [->,thick] (-0.2,0) -- (2.5,0) node [right]{$x_1$}; \draw [->,thick] (0,-0.2) -- (0,3.5) node [above]{$x_3$}; \draw [->,thick] (0,0) -- (1.8,1.2) node [right]{$x_2$}; \fill[black](0,0)circle(0.1); %(0,0,0) \fill[black](3.2,3.8)circle(0.1); %(2,2,3) \draw [black, thick] (0,0) -- (3.2,3.8); \draw [dashed] (1.2,0.8)--(3.2,0.8); %(0,2,0)-(2,2,0) \draw [dashed] (0.6,0.4)--(2.6,0.4); %(0,1,0)-(2,1,0) \draw [dashed] (2,0)--(3.2,0.8); %(2,0,0)-(2,2,0) \draw [dashed] (1,0)--(2.2,0.8); %(1,0,0)-(1,2,0) \draw [dashed] (1.2,1.8)--(3.2,1.8); %(0,2,1)-(2,2,1) \draw [dashed] (0.6,1.4)--(2.6,1.4); %(0,1,1)-(2,1,1) \draw [dashed] (0,1)--(2,1); %(0,0,1)-(2,0,1) \draw [dashed] (2,1)--(3.2,1.8); %(2,0,1)-(2,2,1) \draw [dashed] (1,1)--(2.2,1.8); %(1,0,1)-(1,2,1) \draw [dashed] (0,1)--(1.2,1.8); %(0,0,1)-(0,2,1) \draw [dashed] (1.2,2.8)--(3.2,2.8); %(0,2,2)-(2,2,2) \draw [dashed] (0.6,2.4)--(2.6,2.4); %(0,1,2)-(2,1,2) \draw [dashed] (0,2)--(2,2); %(0,0,2)-(2,0,2) \draw [dashed] (2,2)--(3.2,2.8); %(2,0,2)-(2,2,2) \draw [dashed] (1,2)--(2.2,2.8); %(1,0,2)-(1,2,2) \draw [dashed] (0,2)--(1.2,2.8); %(0,0,2)-(0,2,2) \draw [dashed] (1.2,3.8)--(3.2,3.8); %(0,2,3)-(2,2,3) \draw [dashed] (0.6,3.4)--(2.6,3.4); %(0,1,3)-(2,1,3) \draw [dashed] (0,3)--(2,3); %(0,0,3)-(2,0,3) \draw [dashed] (2,3)--(3.2,3.8); %(2,0,3)-(2,2,3) \draw [dashed] (1,3)--(2.2,3.8); %(1,0,3)-(1,2,3) \draw [dashed] (0,3)--(1.2,3.8); %(0,0,3)-(0,2,3) \draw [dashed] (0.6,0.4)--(0.6,3.4); %(0,1,0)-(0,1,3) \draw [dashed] (1.2,0.8)--(1.2,3.8); %(0,2,0)-(0,2,3) \draw [dashed] (1,0)--(1,3); %(1,0,0)-(1,0,3) \draw [dashed] (1.6,0.4)--(1.6,3.4); %(1,1,0)-(1,1,3) \draw [dashed] (2.2,0.8)--(2.2,3.8); %(1,2,0)-(1,2,3) \draw [dashed] (2,0)--(2,3); %(2,0,0)-(2,0,3) \draw [dashed] (2.6,0.4)--(2.6,3.4); %(2,1,0)-(2,1,3) \draw [dashed] (3.2,0.8)--(3.2,3.8); %(2,2,0)-(2,2,3) \draw (0,0)node[below left]{$O$}; \draw (1,0)node[below]{$1$}; %x_1の1 \draw (2,0)node[below]{$2$}; %x_1の2 \draw (0.5,0.5)node[left]{$1$}; %x_2の1 \draw (1,1)node[left]{$2$}; %x_2の2 \draw (0,2)node[left]{$2$}; %x_3の2 \draw (0,1)node[left]{$1$}; %x_3の2 \draw (0,3)node[left]{$3$}; %x_3の3 \end{tikzpicture}
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415
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\begin{tikzpicture} \coordinate (r0) at (0,0); \coordinate (s0) at (0,4); \coordinate (si) at (4,4); \coordinate (s0l) at (4,0); \coordinate (sil) at (4,3); \coordinate (s1) at (1,0); \filldraw[draw=black, fill=gray!20] (r0) -- (s0) -- (si) -- cycle; \filldraw[draw=black, fill={rgb:red,78;green,0;blue,22}] (r0) --(3,3) -- (4,3) -- (1,0) -- cycle; \filldraw[draw=black, fill=gray] (1,0) --(3,0) -- (4,1) -- (3,1)--(4,2)--(3,2) -- cycle; \filldraw[draw=black, fill=gray!20] (5,0) -- (5,4) -- (9,4) -- (5+3,3) -- (5+4,3)-- (5+1,0) -- cycle; \filldraw[draw=black, fill={rgb:red,78;green,0;blue,22}] (5+1,0) --(5+2,0) -- (5+4,2) -- (5+4,2)-- (5+3,2) -- cycle; \filldraw[draw=black, fill=gray] (5+2,0) --(5+3,0) -- (5+4,1)--(5+3,1) -- cycle; \filldraw[draw=black, fill=gray!20] (10+0,0) -- (10+0,4) -- (10+4,4) -- (10+3,3) -- (10+4,3)-- (10+3,2)--(10+4,2)--(10+3,1)--(10+3,1)--(10+2,0)-- cycle; \filldraw[draw=black, fill={rgb:red,78;green,0;blue,22}] (10+2,0) --(10+3,0) -- (10+4,1) -- (10+3,1)-- cycle; \node[text width=1cm] at (4.2,4.2) {$\mathcal{T}$}; \node[text width=1cm] at (5+4.2,4.2) {$\mathcal{T}$}; \node[text width=1cm] at (10+4.2,4.2) {$\mathcal{T}$}; \foreach \x in {1,2,3}{ \draw [dashed] (4,4-\x) -- (0,4-\x); } \foreach \x in {1,2,3}{ \draw [dashed] (\x,4) -- (0,4-\x); } \foreach \x in {1,2,3}{ \draw [dashed] (4,\x) -- (4-\x,0); } \foreach \x in {1,2,3}{ \draw [dashed] (5+4,4-\x) -- (5+0,4-\x); } \foreach \x in {1,2,3,4}{ \draw [dashed] (5+\x,4) -- (5+0,4-\x); } \foreach \x in {1,2,3}{ \draw [dashed] (5+4,\x) -- (5+4-\x,0); } \foreach \x in {1,2,3}{ \draw [dashed] (10+4,4-\x) -- (10+0,4-\x); } \foreach \x in {1,2,3,4}{ \draw [dashed] (10+\x,4) -- (10+0,4-\x); } \foreach \x in {1,2,3}{ \draw [dashed] (10+4,\x) -- (10+4-\x,0); } \foreach \x in {0,5,10}{ \draw [dashed] (\x+4,4) -- (\x+4,0); \draw [dashed] (\x+4,0) -- (\x+3,0); } \node[text width=1cm] at (-.2,4) {A)}; \node[text width=1cm] at (5-.2,4) {B)}; \node[text width=1cm] at (10-.2,4) {C)}; \end{tikzpicture}
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85
253
\begin{tikzpicture}[x=0.75pt,y=0.75pt,yscale=-1,xscale=1] \draw (42,224) -- (41.01,33) ; \draw [shift={(41,31)}, rotate = 89.7] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (10.93,-3.29) .. controls (6.95,-1.4) and (3.31,-0.3) .. (0,0) .. controls (3.31,0.3) and (6.95,1.4) .. (10.93,3.29) ; \draw (42,224) -- (240,223.01) ; \draw [shift={(242,223)}, rotate = 179.71] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (10.93,-3.29) .. controls (6.95,-1.4) and (3.31,-0.3) .. (0,0) .. controls (3.31,0.3) and (6.95,1.4) .. (10.93,3.29) ; \draw [color={rgb, 255:red, 155; green, 155; blue, 155 } ,draw opacity=1 ][line width=3] (42,170) -- (83,170) ; \draw [color={rgb, 255:red, 155; green, 155; blue, 155 } ,draw opacity=1 ][line width=3] (82,131) -- (123,131) ; \draw [color={rgb, 255:red, 155; green, 155; blue, 155 } ,draw opacity=1 ][line width=3] (128,92) -- (169,92) ; \draw [color={rgb, 255:red, 155; green, 155; blue, 155 } ,draw opacity=1 ][line width=3] (172,141) -- (213,141) ; \draw [line width=1.5] [dash pattern={on 1.69pt off 2.76pt}] (44,135) -- (212,134) ; \draw [color={rgb, 255:red, 126; green, 211; blue, 33 } ,draw opacity=1 ][line width=1.5] [dash pattern={on 1.69pt off 2.76pt}] (44,152) -- (130,152) ; \draw [color={rgb, 255:red, 126; green, 211; blue, 33 } ,draw opacity=1 ][line width=1.5] [dash pattern={on 1.69pt off 2.76pt}] (129,117) -- (209,116) ; \draw [color={rgb, 255:red, 126; green, 211; blue, 33 } ,draw opacity=1 ][line width=1.5] [dash pattern={on 1.69pt off 2.76pt}] (130,152) -- (129,117) ; \draw [color={rgb, 255:red, 189; green, 16; blue, 224 } ,draw opacity=1 ][line width=1.5] [dash pattern={on 1.69pt off 2.76pt}] (127.66,91.71) -- (173.86,92.23) ; \draw [color={rgb, 255:red, 189; green, 16; blue, 224 } ,draw opacity=1 ][line width=1.5] [dash pattern={on 1.69pt off 2.76pt}] (174.02,141) -- (173.86,92.23) ; \draw [color={rgb, 255:red, 189; green, 16; blue, 224 } ,draw opacity=1 ][line width=1.5] [dash pattern={on 1.69pt off 2.76pt}] (174.02,141) -- (217,140.08) ; \draw [color={rgb, 255:red, 208; green, 2; blue, 27 } ,draw opacity=1 ][line width=1.5] [dash pattern={on 1.69pt off 2.76pt}] (41,170) -- (85.3,170) ; \draw [color={rgb, 255:red, 208; green, 2; blue, 27 } ,draw opacity=1 ][line width=1.5] [dash pattern={on 1.69pt off 2.76pt}] (85.3,170) -- (84.79,131.11) ; \draw [color={rgb, 255:red, 208; green, 2; blue, 27 } ,draw opacity=1 ][line width=1.5] [dash pattern={on 1.69pt off 2.76pt}] (84.79,131.11) -- (126,130) ; \draw [line width=1.5] [dash pattern={on 1.69pt off 2.76pt}] (289.3,42.66) -- (397,43) ; \draw [color={rgb, 255:red, 126; green, 211; blue, 33 } ,draw opacity=1 ][line width=1.5] [dash pattern={on 1.69pt off 2.76pt}] (443.72,36.68) -- (493.11,36.68) ; \draw [color={rgb, 255:red, 126; green, 211; blue, 33 } ,draw opacity=1 ][line width=1.5] [dash pattern={on 1.69pt off 2.76pt}] (493.68,99) -- (539,98) ; \draw [color={rgb, 255:red, 126; green, 211; blue, 33 } ,draw opacity=1 ][line width=1.5] [dash pattern={on 1.69pt off 2.76pt}] (493.68,99) -- (493.11,36.68) ; \draw (443.42,117.5) -- (442.87,14.5) ; \draw [shift={(442.86,12.5)}, rotate = 89.69] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (10.93,-3.29) .. controls (6.95,-1.4) and (3.31,-0.3) .. (0,0) .. controls (3.31,0.3) and (6.95,1.4) .. (10.93,3.29) ; \draw [shift={(443.44,119.5)}, rotate = 269.69] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (10.93,-3.29) .. controls (6.95,-1.4) and (3.31,-0.3) .. (0,0) .. controls (3.31,0.3) and (6.95,1.4) .. (10.93,3.29) ; \draw (443.15,68) -- (556,67.46) ; \draw [shift={(558,67.45)}, rotate = 179.72] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (10.93,-3.29) .. controls (6.95,-1.4) and (3.31,-0.3) .. (0,0) .. controls (3.31,0.3) and (6.95,1.4) .. (10.93,3.29) ; \draw (290.13,121) -- (289.57,10) ; \draw [shift={(289.56,8)}, rotate = 89.71] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (10.93,-3.29) .. controls (6.95,-1.4) and (3.31,-0.3) .. (0,0) .. controls (3.31,0.3) and (6.95,1.4) .. (10.93,3.29) ; \draw (290.13,121) -- (401,120.42) ; \draw [shift={(403,120.41)}, rotate = 179.7] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (10.93,-3.29) .. controls (6.95,-1.4) and (3.31,-0.3) .. (0,0) .. controls (3.31,0.3) and (6.95,1.4) .. (10.93,3.29) ; \draw [color={rgb, 255:red, 139; green, 87; blue, 42 } ,draw opacity=1 ][line width=1.5] [dash pattern={on 1.69pt off 2.76pt}] (291.72,166.68) -- (314.67,166.68) ; \draw [color={rgb, 255:red, 139; green, 87; blue, 42 } ,draw opacity=1 ][line width=1.5] [dash pattern={on 1.69pt off 2.76pt}] (314.94,229) -- (336,228) ; \draw [color={rgb, 255:red, 139; green, 87; blue, 42 } ,draw opacity=1 ][line width=1.5] [dash pattern={on 1.69pt off 2.76pt}] (314.94,229) -- (314.67,166.68) ; \draw [color={rgb, 255:red, 139; green, 87; blue, 42 } ,draw opacity=1 ][line width=1.5] [dash pattern={on 1.69pt off 2.76pt}] (336,228) -- (336,200) ; \draw (292.42,247.5) -- (291.87,144.5) ; \draw [shift={(291.86,142.5)}, rotate = 89.69] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (10.93,-3.29) .. controls (6.95,-1.4) and (3.31,-0.3) .. (0,0) .. controls (3.31,0.3) and (6.95,1.4) .. (10.93,3.29) ; \draw [shift={(292.44,249.5)}, rotate = 269.69] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (10.93,-3.29) .. controls (6.95,-1.4) and (3.31,-0.3) .. (0,0) .. controls (3.31,0.3) and (6.95,1.4) .. (10.93,3.29) ; \draw (292.15,198) -- (405,197.46) ; \draw [shift={(407,197.45)}, rotate = 179.72] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (10.93,-3.29) .. controls (6.95,-1.4) and (3.31,-0.3) .. (0,0) .. controls (3.31,0.3) and (6.95,1.4) .. (10.93,3.29) ; \draw [color={rgb, 255:red, 208; green, 2; blue, 27 } ,draw opacity=1 ][line width=1.5] [dash pattern={on 1.69pt off 2.76pt}] (293,203.45) -- (293.72,170.68) ; \draw [color={rgb, 255:red, 144; green, 19; blue, 254 } ,draw opacity=1 ][line width=1.5] [dash pattern={on 1.69pt off 2.76pt}] (498.72,163.68) -- (521.67,163.68) ; \draw [color={rgb, 255:red, 144; green, 19; blue, 254 } ,draw opacity=1 ][line width=1.5] [dash pattern={on 1.69pt off 2.76pt}] (521.94,226) -- (543,225) ; \draw [color={rgb, 255:red, 144; green, 19; blue, 254 } ,draw opacity=1 ][line width=1.5] [dash pattern={on 1.69pt off 2.76pt}] (521.94,226) -- (521.67,163.68) ; \draw [color={rgb, 255:red, 144; green, 19; blue, 254 } ,draw opacity=1 ][line width=1.5] [dash pattern={on 1.69pt off 2.76pt}] (543,225) -- (543,197) ; \draw (444.42,245.5) -- (443.87,142.5) ; \draw [shift={(443.86,140.5)}, rotate = 89.69] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (10.93,-3.29) .. controls (6.95,-1.4) and (3.31,-0.3) .. (0,0) .. controls (3.31,0.3) and (6.95,1.4) .. (10.93,3.29) ; \draw [shift={(444.44,247.5)}, rotate = 269.69] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (10.93,-3.29) .. controls (6.95,-1.4) and (3.31,-0.3) .. (0,0) .. controls (3.31,0.3) and (6.95,1.4) .. (10.93,3.29) ; \draw (444.15,196) -- (557,195.46) ; \draw [shift={(559,195.45)}, rotate = 179.72] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (10.93,-3.29) .. controls (6.95,-1.4) and (3.31,-0.3) .. (0,0) .. controls (3.31,0.3) and (6.95,1.4) .. (10.93,3.29) ; \draw [color={rgb, 255:red, 144; green, 19; blue, 254 } ,draw opacity=1 ][line width=1.5] [dash pattern={on 1.69pt off 2.76pt}] (498,196.45) -- (498.72,163.68) ; \end{tikzpicture}
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89
650
\begin{tikzpicture}[x = {(0.75cm,0.25cm)}, y={(0.6cm,-0.15cm)}, z={(0cm,1cm)},] \draw plot [mark=*, mark size=1] coordinates{(-0.81684757298044, 0.63369514596088, -0.7745966692414834)}; \draw plot [mark=*, mark size=1] coordinates{(0.63369514596088, -0.81684757298044, -0.7745966692414834)}; \draw plot [mark=*, mark size=1] coordinates{(-0.81684757298044, -0.81684757298044, -0.7745966692414834)}; \draw plot [mark=*, mark size=1] coordinates{(-0.108103018168072, -0.783793963663856, -0.7745966692414834)}; \draw plot [mark=*, mark size=1] coordinates{(-0.783793963663856, -0.108103018168072, -0.7745966692414834)}; \draw plot [mark=*, mark size=1] coordinates{(-0.108103018168072, -0.108103018168072, -0.7745966692414834)}; \draw plot [mark=*, mark size=1] coordinates{(-0.81684757298044, 0.63369514596088, 0.0)}; \draw plot [mark=*, mark size=1] coordinates{(0.63369514596088, -0.81684757298044, 0.0)}; \draw plot [mark=*, mark size=1] coordinates{(-0.81684757298044, -0.81684757298044, 0.0)}; \draw plot [mark=*, mark size=1] coordinates{(-0.108103018168072, -0.783793963663856, 0.0)}; \draw plot [mark=*, mark size=1] coordinates{(-0.783793963663856, -0.108103018168072, 0.0)}; \draw plot [mark=*, mark size=1] coordinates{(-0.108103018168072, -0.108103018168072, 0.0)}; \draw [color=orange] plot [mark=*, mark size=1] coordinates{(-0.81684757298044, 0.63369514596088, 0.7745966692414834)}; \draw [color=orange] plot [mark=*, mark size=1] coordinates{(0.63369514596088, -0.81684757298044, 0.7745966692414834)}; \draw [color=orange] plot [mark=*, mark size=1] coordinates{(-0.81684757298044, -0.81684757298044, 0.7745966692414834)}; \draw [color=orange] plot [mark=*, mark size=1] coordinates{(-0.108103018168072, -0.783793963663856, 0.7745966692414834)}; \draw [color=orange] plot [mark=*, mark size=1] coordinates{(-0.783793963663856, -0.108103018168072, 0.7745966692414834)}; \draw [color=orange] plot [mark=*, mark size=1] coordinates{(-0.108103018168072, -0.108103018168072, 0.7745966692414834)}; \path (-1,-1,-1) coordinate (A) (1,-1,-1) coordinate (B) (-1,1,-1) coordinate (C); % (0,0,0) coordinate (D) (0,\z,\y) coordinate (E) (\x,\z,\y) coordinate (F) (\x,\z,0) coordinate (G) (0,\z,0) coordinate (H); \path (-1,-1,1) coordinate (D) (1,-1,1) coordinate (E) (-1,1,1) coordinate (F); \draw (A)--(B)--(C)--(A)--(D)--(E)--(F)--(D); \draw (B)--(E); \draw (C)--(F); \foreach \z in {-0.7745966692414834,0,0.7745966692414834}{ \draw [dashed, black, fill=black, fill opacity=0.075] (-1,-1,\z)--(1,-1,\z)--(-1,1,\z)--(-1,-1,\z); } \end{tikzpicture}
plot
math
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null
318
773
\begin{tikzpicture} \draw[->] (0, 0) -- (6.2, 0) node[right] {r}; \draw[->] (0, 0) -- (0, 2.5) ; \draw[scale=1, domain=0:1, dotted, variable=\x, blue] plot ({\x}, {0.33*\x}); \draw[scale=1, domain=1:3, smooth, variable=\x, blue] plot ({\x}, {0.33*\x}); \draw[scale=1, domain=3:6, smooth, variable=\x, blue] plot ({\x}, {3*\x^(-1)}); \draw[scale=1, domain=0.1:1, dotted, variable=\x, red] plot ({\x}, {0.25*\x^(-1)}); \draw[scale=1, domain=1:3, smooth, variable=\x, red] plot ({\x}, {0.25*\x^(-1)}); \draw[scale=1, domain=3:6, smooth, variable=\x, red] plot ({\x}, {0.25*3^(-1)}); \draw[scale=1, domain=0:2.5, dotted, variable=\y, black] plot ({1}, {\y}) node[above] {$r=r_{+}$}; \draw[scale=1, domain=0:2.5, dotted, variable=\y, black] plot ({3}, {\y}) node[above] {S-Duality}; \node[below] at (2,0) {D5}; \node[below] at (4,0) {NS5}; \end{tikzpicture}
plot
physics
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null
null
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22