Datasets:

JosselinSom

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Latex-VLM

like 0

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plot

eess

\begin{tikzpicture} \draw (0,0) node[below right] {\includegraphics[width=0.975\columnwidth]{6036_fcell_map.jpg}}; \draw (0,0) node[below right] {\includegraphics[width=0.975\columnwidth]{6037_fcell_nlos_los.pdf}}; \end{tikzpicture}

plot

eess

assets/eess/6036_fcell_map.jpg

assets/eess/6037_fcell_nlos_los.pdf

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\addplot[gray, dash dot, very thick] coordinates{(0,0)(0,1)}; \addplot[orange, dash dot, very thick] coordinates{(0,0)(0,1)}; \addplot[black, dotted, thick] coordinates {(0,100)(5,100)}; \addlegendentry{Constraints}; \addlegendentry{Setpoint}; \addlegendentry{Ideal NMPC}; \addlegendentry{Koopman NMPC (Plant)}; \addlegendentry{Koopman LMPC (Plant)}; \addlegendentry{Koopman NMPC (Prediction)}; \addlegendentry{Koopman LMPC (Prediction)}; \end{axis} \draw[] (0,0) (-1.5,-0.1) node[above,right] {\normalsize (a)}; \end{tikzpicture}

plot

eess

\begin{tikzpicture}[x=0.75pt,y=0.75pt,yscale=-1,xscale=1] \draw (116,24) -- (527,24) -- (527,435) -- (116,435) -- cycle ; \draw (143,77) -- (364,77) -- (364,298) -- (143,298) -- cycle ; \draw (135,244) -- (166.08,213.09) -- (316,64) ; \draw (143,298) -- (364,77) ; \draw (364,298) -- (143,77) ; \draw (126,225) -- (307,45) ; \draw (194,316) -- (375,136) ; \draw (213,326) -- (268.65,270.65) -- (394,146) ; \draw (264,113.4) node [anchor=north west][inner sep=0.75pt] {$U$}; \draw (120,185.4) node [anchor=north west][inner sep=0.75pt] {$C_{a}$}; \draw (244,303.4) node [anchor=north west][inner sep=0.75pt] {$R_{a'}$}; \draw (372,194.4) node [anchor=north west][inner sep=0.75pt] {$C_{b}$}; \draw (238,52.4) node [anchor=north west][inner sep=0.75pt] {$R_{b'} \ $}; \draw (140,440.4) node [anchor=north west][inner sep=0.75pt] {$a$}; \draw (358,443.4) node [anchor=north west][inner sep=0.75pt] {$b$}; \draw (89,295.4) node [anchor=north west][inner sep=0.75pt] {$a'$}; \draw (91,66.4) node [anchor=north west][inner sep=0.75pt] {$b'$}; \draw (121,306.4) node [anchor=north west][inner sep=0.75pt] {$( a,\ a')$}; \draw (345,306.4) node [anchor=north west][inner sep=0.75pt] {$( b,\ a')$}; \draw (349,55.4) node [anchor=north west][inner sep=0.75pt] {$( b,\ b')$}; \draw (125,55.4) node [anchor=north west][inner sep=0.75pt] {$( a,\ b')$}; \draw (304,442.4) node [anchor=north west][inner sep=0.75pt] {$0$}; \draw (90,222.4) node [anchor=north west][inner sep=0.75pt] {$0$}; \draw (512,442.4) node [anchor=north west][inner sep=0.75pt] {$2k$}; \draw (103,441.4) node [anchor=north west][inner sep=0.75pt] {$-2k$}; \draw (91,22.4) node [anchor=north west][inner sep=0.75pt] {$2k$}; \draw (82,420.4) node [anchor=north west][inner sep=0.75pt] {$-2k$}; \end{tikzpicture}

plot

math

\begin{tikzpicture}[scale=1.0] \node (Ep) at (+4.63,-0.55) {$E^*$}; \node (E) at (+3.37,-0.55) {$E$}; \node (EpS) at (-1.7,0) {$E + S$}; \node (ES) at (0,0) {$ES$}; \node (EpP) at (1.7,0) {$E + P$}; \node (EppS) at (0,-1.1) {$E^* + S$}; \draw[arrows={-stealth},transform canvas={yshift=2pt}, shorten <=0.2em, shorten >=0.2em] (EpS) to node[above] {$k_1$} (ES); \draw[arrows={-stealth},transform canvas={yshift=-2pt}, shorten <=0.2em, shorten >=0.2em] (ES) to node[below] {$k_2$} (EpS); \draw[arrows={-stealth},transform canvas={yshift=2pt}, shorten <=0.2em, shorten >=0.2em] (ES) to node[above] {$k_3$} (EpP); \draw[arrows={-stealth},transform canvas={yshift=-2pt}, shorten <=0.2em, shorten >=0.2em] (EpP) to node[below] {$k_4$} (ES); \draw[arrows={-stealth},transform canvas={yshift=2pt}, shorten <=0.2em, shorten >=0.2em] (E) to node[above] {$k_5$} (Ep); \draw[arrows={-stealth},transform canvas={yshift=-2pt}, shorten <=0.2em, shorten >=0.2em] (Ep) to node[below] {$k_6$} (E); \draw[arrows={-stealth},transform canvas={yshift=2pt}, shorten <=0.2em, shorten >=0.2em] (ES) to node[right] {$k_5$} (EppS); \end{tikzpicture}

plot

eess

\begin{tikzpicture}[scale=1.0, baseline=(current bounding box.center)] \node (XpAu1) at (-8,0) {$X + A_{U\ast}$}; \node (Ax1) at (-6,0) {$A_{X\ast}$}; \node (XpAu2) at (-4, 0) {$X + A_{\ast U}$}; \node (Ax2) at (-2,0) {$A_{\ast X}$}; \draw[arrows={-stealth},transform canvas={yshift=2pt}, shorten <=0.2em, shorten >=0.2em] (XpAu1) to node[above] {$k_1$} (Ax1); \draw[arrows={-stealth},transform canvas={yshift=-2pt}, shorten <=0.2em, shorten >=0.2em] (Ax1) to node[below] {$k_2$} (XpAu1); \draw[arrows={-stealth},transform canvas={yshift=2pt}, shorten <=0.2em, shorten >=0.2em] (XpAu2) to node[above] {$k_1$} (Ax2); \draw[arrows={-stealth},transform canvas={yshift=-2pt}, shorten <=0.2em, shorten >=0.2em] (Ax2) to node[below] {$k_2$} (XpAu2); \end{tikzpicture}

plot

math

\begin{tikzpicture} \begin{axis}[% width=4.5in, height=3.5in, scale only axis, xmin=0.1, xmax=0.5, xlabel style={font=\color{white!15!black}, at={(axis cs: 0.3,0.1)}}, xlabel={Bit per pixel (BPP)}, ymode=log, ymin=0.1, ymax=0.5, yminorticks=true, ytick = {0.1,0.15,0.2, 0.25, 0.3, 0.35, 0.4, .45, .5}, yticklabels = {0.1,0.15,0.2, 0.25, 0.3, 0.35, 0.4, 0.45, 0.5}, ylabel style={font=\color{white!15!black}, at={(axis cs: 0.1,0.25)}}, ylabel={SSIM}, axis background/.style={fill=white}, xmajorgrids, ymajorgrids, yminorgrids, legend style={at={(axis cs: 0.5,0.1)}, anchor=south east, legend cell align=left, align=left, draw=white!15!black} ] \addplot [color=red, line width=1.0pt] table[row sep=crcr]{% 0.26616974914966 0.216819795287559\\ 0.266302614795918 0.217076911094681\\ 0.278984640731293 0.249056392831938\\ 0.303139615221088 0.301838144106932\\ 0.328636532738095 0.347287831829525\\ 0.566931069302721 0.557600654247583\\ }; \addlegendentry{JPEG} \addplot [color=black, line width=1.0pt] table[row sep=crcr]{% 0.131384194302721 0.0957299056703332\\ 0.143541400935374 0.149210727406744\\ 0.158814306972789 0.179399724771426\\ 0.17784731079932 0.208815158187379\\ 0.188436702806122 0.230824914521954\\ 0.219334608843537 0.2776170957478\\ 0.258576477465986 0.324522948655854\\ 0.296463116496599 0.365897396562047\\ 0.34402237457483 0.409028052413993\\ 0.442017431972789 0.464381009398488\\ 0.484634088010204 0.480418601139433\\ 0.561330782312925 0.503685930965175\\ }; \addlegendentry{JPEG-TMAE (Optimized)} \addplot [color=green, line width=1.0pt] table[row sep=crcr]{% 0.15583462185329858 0.10005479852202352\\ 0.1617889404296875 0.13439492852385929\\ 0.16532474093967017 0.15059053639389894\\ 0.16795010036892366 0.15883068032018086\\ 0.16986423068576387 0.16415489353010065\\ 0.17078823513454863 0.16656789836941904\\ 0.17131720648871526 0.16811935272638226\\ 0.17161220974392363 0.16865256504237\\ 0.17186652289496526 0.16927173673077942\\ 0.17205047607421875 0.16978527558660705\\ 0.1721369425455729 0.17018323184257259\\ 0.17225731743706596 0.1701982345665436\\ 0.17243872748480904 0.17030083823028472\\ 0.17266591389973954 0.17049914467515284\\ 0.2577395968967014 0.26311950422145176\\ 0.3071738349066841 0.32328938829565285\\ 0.33673434787326384 0.3824002583473112\\ 0.3608957926432292 0.4207165501303598\\ 0.3771396213107639 0.4428826127495627\\ 0.38805389404296875 0.45852518054993957\\ 0.3957095675998265 0.46985682074589286\\ 0.4020572238498264 0.47701610728861965\\ 0.40517340766059035 0.4811334995592545\\ 0.4079615275065105 0.4845167843088319\\ 0.40952131483289916 0.48739381847968577\\ 0.4108784993489584 0.4903266787751413\\ 0.412324693467882 0.4924518318067699\\ 0.4134462144639757 0.49421304458665083\\ }; \addlegendentry{ConvLSTM (CNN-LSTM Based)\cite{ConvLSTM}} \addplot [color=brown, line width=1.0pt] table[row sep=crcr]{% 0.17167522 0.16625049\\ 0.21742701 0.27015172\\ 0.27555805 0.34790647\\ 0.31232452 0.38280889\\ 0.39392401 0.43696703\\ 0.46371333 0.46766172\\ 0.58388265 0.50097406\\ 0.77102294 0.53066724\\ 1.01181511 0.54945989\\ }; \addlegendentry{cheng2020-anchor(CNN based)\cite{cheng2020image}} \addplot [color=blue, line width=1.0pt] table[row sep=crcr]{% 0.17003716 0.16144037\\ 0.21402232 0.25665099\\ 0.26508416 0.31950167\\ 0.29616631 0.34490801\\ 0.36334144 0.38455074\\ 0.45891232 0.46451866\\ 0.57301500 0.49298646\\ 0.74923282 0.52114487\\ 0.86121707 0.53466851\\ }; \addlegendentry{mbt2018(CNN Based)\cite{minnenbt18}} \end{axis} \end{tikzpicture}%

plot

eess

\centering\begin{tikzpicture} \draw[white,fill=white!90!black] (-0.5,-2) rectangle (3,2); \draw plot[mark=x] (0.5,0); \draw[->] (0.5,0) -- (1,0); \draw[fill=black] (2,0) circle (0.05); \draw (0.5,-0.35) node {$\vec v$}; \draw (2,-0.35) node {$a$}; \end{tikzpicture}

plot

math

\begin{tikzpicture} \begin{axis} [ ybar, ymax=100, enlargelimits=0.15, bar width=5pt, width=8.5cm, height=5cm, legend style={at={(0.5,1.0)}, anchor=north,legend columns=-1}, ylabel={}, symbolic x coords={M1, M2, M3, M4}, xtick=data, nodes near coords, every node near coord/.append style={font=\tiny, inner xsep=1.5pt}, nodes near coords align={vertical} ] \addplot coordinates {(M1, 24.0) (M2, 29) (M3, 32) (M4, 35)}; \addplot coordinates {(M1, 57) (M2, 60) (M3, 64) (M4, 65)}; \addplot coordinates {(M1, 34) (M2, 38) (M3, 40.0) (M4, 43)}; \addplot coordinates {(M1, 46) (M2, 48) (M3, 52.0) (M4, 52.0)}; \addplot coordinates {(M1, 61) (M2, 65) (M3, 69) (M4, 73)}; \legend{BLEU, R1, R2, RL, BF1} \end{axis} \end{tikzpicture}

plot

cs

\begin{tikzpicture}[shorten >=0.2pt] \usetikzlibrary{calc} \tikzstyle{vertex}=[circle,draw=black,fill=black!25,minimum size=10pt,inner sep=1pt, outer sep=0pt] \tikzstyle{vertex2}=[circle,draw=black,fill=blue!25,minimum size=10pt,inner sep=1pt, outer sep=0pt] \tikzstyle{vertex3}=[circle,draw=black,fill=green!25,minimum size=10pt,inner sep=1pt, outer sep=0pt] \tikzstyle{vertex4}=[circle,draw=black,fill=red!25,minimum size=10pt,inner sep=1pt, outer sep=0pt] \tikzstyle{destination}=[circle,draw=black,fill=yellow!25,minimum size=10pt,inner sep=0pt, outer sep=0pt] \tikzstyle{edge}=[thick,black,--,] \begin{scope}[shift={(-1,0)}] \node[vertex3] (v_{1}) at (0,0) {$v_i$}; \node[vertex3] (v_{2}) at (0,3) {$v_1$}; \node[vertex3] (v_{3}) at (2,-2) {$v_2$}; \node[vertex3] (v_{n}) at (-2,-2) {$v_n$}; \node[vertex2] (u_{1}) at (2.1,0.5) {\small$b_i$}; \node[vertex2] (u_{2}) at (1.5,3) {\small$b_1$}; \node[vertex2] (u_{3}) at (3,-1.5) {\small$b_2$}; \node[vertex2] (u_{n}) at (-3.3,-1) {\small$b_n$}; \node[circle,color=blue, inner sep=2pt,fill,label=below right:\large$v_{ni}$] (dni) at ($(v_{1})!0.5!(v_{n})$) {}; \node[circle,color=blue, inner sep=2pt,fill,label= above left:\large$v'_{ni}$] (d-in) at ($(dni)+(-0.5,0.5)$) {}; \path(v_{n}) edge[thick, black] node[midway,sloped,above] {} (v_{1}); \path(u_{n}) edge[thick, black, ] node[midway,sloped,above] {\tiny$1$} (d-in); \path(u_{1}) edge[thick, black, bend right=30] node[pos=0.8,sloped,above] {\tiny$1$} (d-in); \path(dni) edge[thick, black] node[midway,sloped,above] {\tiny$1$} (d-in); \node[circle,color=blue, inner sep=2pt,fill,label= left:\large$v_{1i}$] (d2i) at ($(v_{1})!0.5!(v_{2})$) {}; \node[circle,color=blue, inner sep=2pt,fill,label= right :\large$v'_{1i}$] (d-i2) at ($(d2i)+(0.7,0)$) {}; \path(u_{2}) edge[thick, black, ] node[midway,sloped,above] {\tiny$1$} (d-i2); \path(v_{1}) edge[thick, black] node[midway,sloped,above] {} (v_{2}); \path(u_{1}) edge[thick, black,] node[midway,sloped,above] {\tiny$1$} (d-i2); \path(d2i) edge[thick, black] node[midway,sloped,above] {\tiny$1$} (d-i2); \node[circle,color=blue, inner sep=2pt,fill,label= left:\large$v_{2i}$] (d3i) at ($(v_{1})!0.5!(v_{3})$) {}; \node[circle,color=blue, inner sep=2pt,fill,label= above left:\large$v'_{2i}$] (d-i3) at ($(d3i)+(0.5,0.4)$) {}; \path(v_{1}) edge[thick, black] node[midway,sloped,below] {} (v_{3}); \path(u_{3}) edge[thick, black, ] node[midway,sloped,above] {\tiny$1$} (d-i3); \path(u_{1}) edge[thick, black, ] node[midway,sloped,above] {\tiny$1$} (d-i3); \path(d3i) edge[thick, black, ] node[midway,sloped,above] {\tiny$1$} (d-i3); \node at (0,-2) {\huge$\mathbf{\cdots}$}; \end{scope} \begin{scope}[xshift=-11cm] \node[vertex] (a1) at (4,1.5) {$a_i$}; \node[vertex] (a2) at (4,3) {$a_1$}; \node[vertex] (a3) at (4,0) {$a_2$}; \node[vertex] (an) at (4,-2) {$a_n$}; \path (a3) -- (an) node [black, very thick, font=\Large, midway, sloped] {\huge$\mathbf{\ldots}$}; \node[vertex4] (b) at (6.3,0.5) {\Large$o$}; \node[vertex4] (t) at (5,0.5) {\large$a$}; \path(t) edge[thick, green, bend left =60] node[midway,sloped,above] {\tiny$3$} (b); \path(t) edge[thick, green, bend right =60] node[midway,sloped,below] {\tiny$3$} (b); \path (5.65,1) -- (5.65,0) node [green, very thick, font=\Large, midway, sloped, ] {$\mathbf{\cdots}$}; \path(v_{1}) edge[thick, green,bend right=40] node[midway,sloped,below] {\tiny$3$} (b); \path(v_{2}) edge[thick, green,bend right=20] node[midway,sloped,below] {\tiny$3$} (b); \path(v_{n}) edge[thick, green] (b); \path(v_{3}) edge[thick, green, bend left=90] node[midway,sloped,below] {\tiny$3$} (b); \foreach \i in {1,...,3,n} {%\draw[black, very thick] (a\i)--(t1) node[midway,sloped,above]{$1$}; \path(t) edge[thick, green, ] node[midway,sloped,above] {\tiny$3$} (a\i); \path(v_{\i}) edge[thick, red!40, dashed, bend left=20] (u_{\i}); } \path(v_{1}) edge[thick, red!40, dashed, bend right=20] (a1); \path(v_{2}) edge[thick, red!40, dashed, bend right=20] (a2); \path(v_{3}) edge[thick, red!40, dashed, bend left=40] (a3); \path(v_{n}) edge[thick, red!40, dashed, bend right=20] (an); \end{scope} \end{tikzpicture}

plot

cs

\begin{tikzpicture} \begin{scope}[every node/.style={thick,draw}] \node (dp) at (0, 0) {Peritraumatic Depression}; \node (ptsd) at (2, 2) {Peritraumatic PTSD}; \node (asd) at (2, -2) {Peritraumatic ASD}; \node (dt) at (4, 0) {Peritraumatic Distress}; \end{scope} \begin{scope} \path (dp) edge node {} (ptsd); \path (ptsd) edge node {} (dt); \path (asd) edge node {} (dp); \path (asd) edge node {} (ptsd); \path (dt) edge node {} (asd); \end{scope} \end{tikzpicture}

plot

stat

\begin{tikzpicture} \begin{scope}[every node/.style={thick,draw}] \node (dp) at (0, 0) {Peritraumatic Depression}; \node (ptsd) at (2, 2) {Peritraumatic PTSD}; \node (asd) at (2, -2) {Peritraumatic ASD}; \node (dt) at (4, 0) {Peritraumatic Distress}; \end{scope} \begin{scope} \path (dp) edge node {} (ptsd); \path (ptsd) edge node {} (dt); \path (asd) edge node {} (dp); \path (asd) edge node {} (ptsd); \path (dt) edge node {} (asd); \end{scope} \end{tikzpicture}

plot

econ

\begin{tikzpicture}[xscale=0.78,yscale=0.78] \draw [-,dashed, thick] (0,3.5) -- (0,-1); \draw [->,ultra thick] (0,.95) -- (0,0); \draw [->,thick] (0,0) -- (2.8,.95); \draw[->,thick] (0,0) -- (-1.7,1.7); \draw [-,thick] (-3.2,.95) -- (3.2,.95); \node [right] at (-1.7,1.7) {${\bf y}$}; \node [left] at (0,.55) {${z}$}; \draw [ultra thick] (2.7,1) arc [radius=3, start angle=25, end angle=155]; \node [right] at (0,-0.2) {${\bf x}$}; \draw [<-](1.05,1.425) arc (45:90:1.5); \draw [-] (0,0) -- (1.24,1.7); \node [below] at (1.24,1.7) {$\zeta$}; \draw [->] (.9,3.5) arc (0:315:.85cm and .3cm); \node [below] at (2.5,.75) {$\epsilon$}; \node [right] at (2.5,1.8) {$\mathcal{K}^+$}; \node [right] at (.8,3.3) {$\theta$}; \node [right] at (.0,2.0) {$\scriptscriptstyle{\arccos(z/\zeta)}$}; \end{tikzpicture}

plot

math

\begin{tikzpicture}[ball/.style = {circle, draw, align=center, anchor=north, inner sep=0}] \begin{scope}[scale={.9}] \pgfmathsetmacro{\factor}{1/sqrt(2)}; \coordinate (c1a) at (9.75,0,-.75*\factor); \coordinate (b1a) at (8.25,0,-.75*\factor); \coordinate (a2a) at (9.75,-.65,.75*\factor); \coordinate (c2a) at (10.5,-3,-1.5*\factor); \coordinate (b2a) at (7.5,-3,-1.5*\factor); \coordinate (a1a) at (10.5,-3.75,1.5*\factor); \draw[dotted,red,opacity=.2] (b1a) -- (c1a); \draw[dotted,blue,opacity=.2] (b1a) -- (a1a) -- (c1a); \draw[dotted,red,opacity=.2] (b2a) -- (c2a); \draw[dotted,blue,opacity=.2] (b2a) -- (a2a) -- (c2a); \coordinate (x1) at (intersection of a1a--b1a and a2a--b2a); \coordinate (x2) at (intersection of a1a--c1a and a2a--c2a); \draw[dashed,draw=none,fill=green!60, opacity=.9] (c2a) -- (b2a) -- (b1a) -- (c1a) -- cycle; \draw[draw=none,fill=green!60,opacity=.9] (b2a) -- (c2a) -- (x2) --(x1)-- cycle; \draw[draw=none,fill=green!60,opacity=.9] (x1) -- (b1a) -- (b2a) -- cycle; \draw[draw=none,fill=green!60!gray,opacity=.9] (c1a) -- (x2) -- (c2a) -- cycle; \draw[draw=none,fill=green!60,opacity=.9] (b1a) -- (c1a) -- (x2)--(x1) -- cycle; \draw[draw=none,fill=blue!65, opacity=.675] (b1a) -- (c1a) -- (x2) --(x1)-- cycle; \draw[draw=none,fill=blue!65,opacity=.675] (b1a) -- (x1) -- (a2a) -- cycle; \draw[draw=none,fill=blue!40!darkgray,opacity=.675] (a2a) -- (x2) -- (c1a) -- cycle; \draw[draw=none,fill=blue!65!white,opacity=.3] (b1a) -- (c1a) -- (a2a) -- cycle; \draw[draw=none,fill=blue!65,opacity=.675] (a2a) -- (x1) -- (x2) -- cycle; \draw[draw=none,fill=blue!65, opacity=.675] (c2a) -- (b2a) -- (a1a) -- cycle; \draw[draw=none,fill=blue!65, opacity=.675] (c2a) -- (b2a) -- (x1) --(x2)-- cycle; \draw[draw=none,fill=blue!65,opacity=.675] (x1) -- (a1a) -- (b2a) -- cycle; \draw[draw=none,fill=blue!40!darkgray,opacity=.675] (x2) -- (a1a) -- (c2a) -- cycle; \draw[draw=none,fill=blue!65,opacity=.675] (x1) -- (a1a) -- (x2) -- cycle; \draw[draw=none,fill=green!60,opacity=.9] (x1) -- (x2) -- (a2a) -- cycle; \draw[draw=none,fill=green!60,opacity=.9] (x1) -- (a1a) -- (x2) -- cycle; \draw[draw=none,fill=green!60,opacity=.9] (x1) -- (a2a) -- (a1a) -- cycle; \draw[draw=none,fill=green!45!gray,opacity=.9] (x2) -- (a2a) -- (a1a) -- cycle; \end{scope} \begin{scope}[scale=0.9] \draw[black,opacity=.2] (b1a) -- (c1a) -- (a2a) -- cycle; \draw[black,opacity=.2] (b1a) -- (b2a)--(a1a)--(a2a)--cycle; \draw[black,opacity=.2] (c1a) -- (c2a)--(a1a)--(a2a)--cycle; \end{scope} \begin{scope}[scale=0.9] \pgfmathsetmacro{\factor}{1/sqrt(2)}; \coordinate [label=right:{\footnotesize $-{\bf x}_1+{\bf y}_{a}+{\bf x}_2$}] (c1a) at (9.75,0,-.75*\factor); \coordinate [label=left:{\footnotesize ${\bf x}_1+{\bf y}_{a}-{\bf x}_2$}] (b1a) at (8.25,0,-.75*\factor); \coordinate (a2a) at (9.75,-.65,.75*\factor); \coordinate [label=right:{\footnotesize $-{\bf x}_1+{\bf y}_{b}+{\bf x}_2$}] (c2a) at (10.5,-3,-1.5*\factor); \coordinate [label=left:{\footnotesize ${\bf x}_1+{\bf y}_{b}-{\bf x}_2$}] (b2a) at (7.5,-3,-1.5*\factor); \coordinate [label=below:{\footnotesize ${\bf x}_1-{\bf y}_{a}+{\bf x}_2$}] (a1a) at (10.5,-3.75,1.5*\factor); \draw (a2a) node[label=right:{\footnotesize ${\bf x}_1-{\bf y}_{b}+{\bf x}_2$}] {}; \coordinate[label=left:{\footnotesize ${\bf x}_1$}] (x1) at (intersection of a1a--b1a and a2a--b2a); \coordinate[label=right:{\footnotesize ${\bf x}_2$}] (x2) at (intersection of a1a--c1a and a2a--c2a); \draw[color=blue,fill=blue,opacity=.6] (x1) circle (1pt); \draw[color=blue,fill=blue,opacity=.6] (x2) circle (1pt); \end{scope} \end{tikzpicture}

plot

math

\begin{tikzpicture}[scale=1] \draw [gray] (0,0) grid (3,3); \draw (1,0)--(2,0)--(2,1)--(3,1)--(3,2)--(2,2)--(2,3)--(1,3)--(1,2)--(0,2)--(0,1)--(1,1)--(1,0); \node [above] at (0,.85) {$-1$}; \node [above] at (1,.85) {$-1$}; \node [above] at (2.1,.85) {$1$}; \node [above] at (3.1,.85) {$1$}; \node [above] at (0.11,1.85) {$1$}; \node [above] at (1.1,1.85) {$1$}; \node [above] at (2,1.85) {$-1$}; \node [above] at (3,1.85) {$-1$}; \node [above] at (0,-.15) {$-1$}; \node [above] at (1,-.15) {$-1$}; \node [above] at (2.1,-.15) {$1$}; \node [above] at (3.1,-.15) {$1$}; \node [above] at (0.1,2.85) {$1$}; \node [above] at (1.1,2.85) {$1$}; \node [above] at (2,2.85) {$-1$}; \node [above] at (3,2.85) {$-1$}; \node [above] at (0.5,0.3) {$1$}; \node [above] at (0.5,1.3) {$2$}; \node [above] at (1.5,0.3) {$2$}; \node [above] at (1.5,1.3) {$4$}; \node [above] at (2.5,0.3) {$1$}; \node [above] at (2.5,1.3) {$2$}; \node [above] at (0.5,2.3) {$1$}; \node [above] at (1.5,2.3) {$2$}; \node [above] at (2.5,2.3) {$1$}; \end{tikzpicture}

plot

math

\begin{tikzpicture}[baseline=.9cm] \draw[very thick] (-3,0) -- (-3,2); \draw[->,>=stealth,thick] (-1.2, 0.2) -- (-2.2, 0.7); \draw[<-,>=stealth,thick] (-1.2, 1.8) -- (-2.2, 1.3); \draw[decorate, decoration={snake,amplitude=.6mm}] (-3,1) -- (-2.2, 1.3); \foreach \x in {0,...,12} \draw (-3-.2,.15*\x+.04) -- (.2-3-.2,.15*\x+.1+.04); \foreach \x in {-1,...,11} \draw (-3-.1,.15*\x+.09+.075) -- (.2-3-.2,.15*\x+.1+.04+.075); \node at (-.1, 1.9) {$\tilde{\psi} + T^{-2}$}; \node at (-1.7+1,.1) {$\psi$}; \filldraw (-1.2, 0.2) circle (1pt); \filldraw (-2.2, 1.3) circle (1pt); \node[scale=.8] at (-3, -.3) {Monopole}; \end{tikzpicture}

plot

physics

\begin{tikzpicture}[scale=0.8] \begin{scope}[every node/.style={circle,thick,draw}, minimum size=3em] \node (1) at (-2,3) {$1$}; \node (2) at (2,3) {$2$}; \node (3) at (0,0) {$3$}; \node (4) at (-2,-3) {$4$}; \node (5) at (2,-3) {$5$}; \end{scope} \begin{scope}[>={stealth[black]}, every edge/.style={draw,very thick}] \path [->] (1) edge node [above]{$2$} (3); \path [->] (2) edge node [above]{$1$} (3); \path [->] (1) edge [bend right=30, looseness=1] node [right]{$3$} (4); \path [->] (2) edge [bend left =30, looseness=1] node [left]{$3$} (5); \path [->] (3) edge node [below] {$1$} (4); \path [->] (3) edge node [below]{$2$} (5); \end{scope} \end{tikzpicture}

plot

math

\begin{tikzpicture}[x=\linewidth,y=\linewidth] \node (fig-a) at (0.2,0) {\includegraphics[height=0.3\linewidth]{11019_inf-phi12.pdf}}; \node[rotate=90] (tag-ay) at (-0.01,0.02) {$\phi_2$}; \node (tag-ax) at (0.2-0.02,-0.18) {$\phi_1$}; \node (tag-a) at (-0.01,0.16) {(a)}; \node (tag-b) at (0.44,0.16) {(b)}; \node[rotate=90,scale=0.9] (tag-by) at (0.44,0.02) {$\mathrm{InF}_\mathsf{CZ}(\tau)$}; \node (fig-b) at (0.68,0) {\includegraphics[height=0.3\linewidth]{11020_infcz-t.pdf}}; \node (tag-bx) at (0.7,-0.18) {$\tau/(\pi/J)$}; \end{tikzpicture}

plot

physics

assets/physics/11019_inf-phi12.pdf

assets/physics/11020_infcz-t.pdf

\begin{tikzpicture} \node[anchor=mid] at (-2.4,6.){\textbf{(a)}}; \node at (-3.,3){\includegraphics{6233_figs_rosenbrock_HNN_subset_samples_merge.pdf}}; \node[anchor=mid] at (3.6,6.){\textbf{(b)}}; \node at (3.,3){\includegraphics{6234_figs_rosenbrock_LHNN_subset_samples.pdf}}; \node[anchor=mid] at (-2.4,0.){\textbf{(c)}}; \node at (-3.,-3){\includegraphics{6235_figs_rosenbrock_update_HNN.pdf}}; \node[anchor=mid] at (3.6,0.){\textbf{(d)}}; \node at (3.,-3){\includegraphics{6236_figs_rosenbrock_online_error.pdf}}; \node[anchor=mid] at (-2.4,-6.){\textbf{(e)}}; \node at (-3.,-9){\includegraphics{6237_figs_rosenbrock_HMC_2.pdf}}; \node[anchor=mid] at (3.6,-6.){\textbf{(f)}}; \node at (3.,-9){\includegraphics{6238_figs_rosenbrock_HNN_10k_merge.pdf}}; \end{tikzpicture}

plot

stat

assets/stat/6233_figs_rosenbrock_HNN_subset_samples_merge.pdf

assets/stat/6234_figs_rosenbrock_LHNN_subset_samples.pdf

assets/stat/6235_figs_rosenbrock_update_HNN.pdf

assets/stat/6236_figs_rosenbrock_online_error.pdf

assets/stat/6237_figs_rosenbrock_HMC_2.pdf

assets/stat/6238_figs_rosenbrock_HNN_10k_merge.pdf

\begin{tikzpicture} \begin{axis}[ axis lines = left, xlabel = $\phi$, ylabel = {$\rho(\phi)$}, ymin=0, ymax=1, legend pos = outer north east, ymajorgrids=false, grid style=dashed, width=8cm, height=8cm, ] \addplot [ domain= 0:1, color= blue, ] {(0.60*x)/((0.60*x+(1-0.95)*(1-x))}; \addplot [ domain=0.070:0.42, samples=100, color=red] {(0.9*x+0.575)}; \addplot [dashed, domain=0.01:0.62, samples=100, color=red] {(0.9*x+0.575)}; \addplot [ domain=0.225:0.295, samples=100, color=red] {(-1.20*x+1.05005)}; \addplot+ [ domain= 0:1, color = black, mark size = 0pt ] {1}; \fill [red] (293,70) circle[radius=2pt]; \node[above,black] at (373,60) {$\kappa=1/R$}; \node[above,black] at (140,77) {\scriptsize{$tangent$}}; \node[above,black] at (285,73) {\scriptsize{$R_c$}}; \node[above,black] at (278,38) {\scriptsize{$\phi_e$}}; \addlegendentry{$\rho(\phi)$} \addlegendentry{$R_c$} \end{axis} \draw [dashed] (1.48,0) -- (1.48,5.0); \end{tikzpicture}

plot

stat

\begin{tikzpicture}[x=0.75pt,y=0.75pt,yscale=-1,xscale=1] \draw [line width=2.25] (218.72,122.32) -- (149.09,172.9) ; \draw [line width=2.25] (218.72,122.32) -- (304.78,122.32) ; \draw [line width=2.25] (304.78,122.32) -- (374.41,172.9) ; \draw [color={rgb, 255:red, 0; green, 0; blue, 0 } ,draw opacity=1 ][line width=2.25] [dash pattern={on 2.53pt off 3.02pt}] (304.78,387.18) -- (374.41,336.6) ; \draw [line width=2.25] (122.5,254.75) -- (149.09,336.6) ; \draw [color={rgb, 255:red, 0; green, 0; blue, 0 } ,draw opacity=1 ][line width=2.25] [dash pattern={on 2.53pt off 3.02pt}] (149.09,336.6) -- (218.72,387.18) ; \draw [line width=2.25] (374.41,336.6) -- (401,254.75) ; \draw [color={rgb, 255:red, 208; green, 2; blue, 27 } ,draw opacity=1 ][line width=2.25] [dash pattern={on 6.75pt off 4.5pt}] (122.5,254.75) -- (401,254.75) ; \draw [color={rgb, 255:red, 0; green, 0; blue, 0 } ,draw opacity=1 ][line width=2.25] (218.72,387.18) -- (304.78,387.18) ; \draw [color={rgb, 255:red, 0; green, 0; blue, 0 } ,draw opacity=1 ][line width=2.25] [dash pattern={on 2.53pt off 3.02pt}] (122.5,254.75) -- (149.09,172.9) ; \draw [color={rgb, 255:red, 0; green, 0; blue, 0 } ,draw opacity=1 ][line width=2.25] [dash pattern={on 2.53pt off 3.02pt}] (374.41,172.9) -- (401,254.75) ; \draw [color={rgb, 255:red, 208; green, 2; blue, 27 } ,draw opacity=1 ][line width=2.25] [dash pattern={on 6.75pt off 4.5pt}] (122.5,254.75) -- (218.72,387.18) ; \draw [color={rgb, 255:red, 208; green, 2; blue, 27 } ,draw opacity=1 ][line width=2.25] [dash pattern={on 6.75pt off 4.5pt}] (218.72,387.18) -- (401,254.75) ; \draw (203,96.4) node [anchor=north west][inner sep=0.75pt] [font=\Large] {$1$}; \draw (126,153.4) node [anchor=north west][inner sep=0.75pt] [font=\Large] {$2$}; \draw (307,100.4) node [anchor=north west][inner sep=0.75pt] [font=\Large] {$n$}; \draw (101,242.4) node [anchor=north west][inner sep=0.75pt] [font=\Large] {$i$}; \draw (412,238.4) node [anchor=north west][inner sep=0.75pt] [font=\Large] {$j$}; \draw (378,146.4) node [anchor=north west][inner sep=0.75pt] [font=\Large] {$n-1$}; \draw (210,393.4) node [anchor=north west][inner sep=0.75pt] [font=\Large] {$k$}; \draw (100,335.4) node [anchor=north west][inner sep=0.75pt] [font=\Large] {$i+1$}; \draw (296,392.4) node [anchor=north west][inner sep=0.75pt] [font=\Large] {$k+1$}; \draw (383,324.4) node [anchor=north west][inner sep=0.75pt] [font=\Large] {$j-1$}; \end{tikzpicture}

plot

cs

\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, fill=gray!75] 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] {$6$} (c); \path[->,draw,thick] (b) to node[fill=white] {$5$} (a); \path[->,draw,thick] (d) to node[fill=white] {$1$} (a); \path[->,draw,thick] (d) to node[fill=white] {$2$} (c); \path[->,draw,thick] (b) to[pos=.7] node[fill=white] {$3$} (d); \path[->,draw,thick] (c) to node[fill=white] {$4$} (b); \end{tikzpicture}

plot

econ

\begin{tikzpicture}[scale=0.25] \draw[draw opacity=0.0] (-6.0,0) rectangle (6.9,0); \filldraw[gray, fill opacity=0.55] (1.3,0.65) circle (1.8 cm); \filldraw[gray, fill opacity=0.30] (-0.5,4) circle (2 cm); \filldraw[gray, fill opacity=0.05] (3.5,4.15) circle (6.0 cm); \end{tikzpicture}

plot

math

\begin{tikzpicture} \draw[lime, fill=lime] (0,0) circle [radius=0.16] node[white] {{\fontfamily{qag}\selectfont \tiny ID}}; \draw[white, fill=white] (-0.0625,0.095) circle [radius=0.007]; \end{tikzpicture}

plot

physics

\begin{tikzpicture}[scale=1] \node at (0,1) {-1}; \node at (2,2) {-1}; \node at (4,-1) {-1}; \node at (4,2) {1}; \node at (2,1) {1}; \draw (0.2,1)--(1.8,1); \draw (2.2,2)--(3.8,2); \draw (2,1.2)--(2,1.8); \draw (4,-0.8)--(4,1.8); \draw[dotted, thick] (-0.4,0)--(4.4,0); \node [right] at (4,1) {$A$}; \end{tikzpicture}

plot

math

\begin{tikzpicture}[scale=.8] \draw (-.4,2) -- (1,-.5)node[right]{\tiny $L_n$}; \draw (-.2,2) -- (.5,-.5)node{\tiny $L_{n-1}$}; \draw (.2,2) -- (-.5,-.5)node[above,right]{\tiny $L_2$}; \draw (.4,2) -- (-1,-.5)node[above,right]{\tiny $L_1$}; \draw (-1,0) -- (1,0) node[right]{\tiny $L_{n+1}$}; \end{tikzpicture}

plot

math

\begin{tikzpicture} \foreach \i/\lbl in {1/0|0,2/0|1,3/0|2,4/0|3,5/1|0,6/1|1,7/1|2,8/1|3} { \node [circle,fill=black] (\i) at ({-360/8 * (\i + 4.5)}:1.8) {}; \node [] at ({-360/8 * (\i + 4.5)}:2.3) {\textcolor{red}{$\lbl$}}; }; \foreach \a/\b in {1/2,2/3,3/4,4/5,5/6,6/7,7/8,8/1} { \path (\a) edge [color=blue, ultra thick] (\b); }; \foreach \a/\b in {1/5,2/6,3/7,4/8} { \path (\a) edge [color=red, ultra thick] (\b); }; \end{tikzpicture}

plot

physics

\begin{tikzpicture} \draw[->,dashed,thick] (0,3.5) node[above]{\tt init} -- (0,0); \draw[->,dashed,thick] (3,3.5) node[above]{\tt bank} -- (3,0); \draw[->,dashed,thick] (6,3.5) node[above]{\tt client} -- (6,0); \draw[->,dotted] (0,3.2) node[left]{$\mathsf{spawn}$} -- (3,3.1); \draw[->,dotted] (0,2.8) node[left]{$\mathsf{spawn}$} -- (6,2.6); \draw[->] (6,2.3) node[right]{$\mathsf{send}$} -- (3,2.1) node[midway,above]{\tt get} node[left]{$\mathsf{rec}$}; \draw[->] (3,1.8) node[left]{$\mathsf{send}$} -- (6,1.6) node[midway,above]{$B$} node[right]{$\mathsf{rec}$}; \draw[->] (6,1.3) node[right]{$\mathsf{send}$} -- (3,1.1) node[midway,above]{\tt withdraw} node[left]{$\mathsf{rec}$}; \draw[->] (3,0.8) node[left]{$\mathsf{send}$} -- (6,0.6) node[midway,above]{\tt ack} node[right]{$\mathsf{rec}$}; \draw[->] (3,0.4) node[left]{$\mathsf{send}$} -- (6,0.2) node[midway,above]{\tt ok} node[right]{$\mathsf{rec}$}; \end{tikzpicture}

plot

cs

\begin{tikzpicture} \fill [blue!5](-2.3,3) -- (-3,3) -- (-3,-3) -- (3,-3) -- (3,-2.3); \fill [red!5](3,3) -- (-2.3,3) -- (3,-2.3); \draw [thick,->](-3,0) -- (3,0); \draw [thick,->](0,-3) -- (0,3); \draw [thin,red](-2.3,3) -- (3,-2.3); \draw [thick] (0,0) circle (2); \draw [thin,<->] (0,0) -- (0.35,0.35) node[anchor=east] {$\alpha$}; \filldraw[black] (1.41421,1.41421) circle (2pt) node[anchor=west] {ACK}; \filldraw[black] (-1.41421,-1.41421) circle (2pt) node[anchor=east] {NACK}; \filldraw[black] (2.4,0.3) circle (0.1pt) node[anchor=east] {1}; \end{tikzpicture}

plot

math

\begin{tikzpicture} \fill [blue!5](-3,3) -- (-3,3) -- (-3,-3) -- (3,-3) -- (3,-3); \fill [red!5](3,3) -- (-3,3) -- (3,-3); \draw [thick,->](-3,0) -- (3,0); \draw [thick,->](0,-3) -- (0,3); \draw [thin,red](-3,3) -- (3,-3); \draw [thick] (0,0) circle (2); \filldraw[black] (1.41421,1.41421) circle (2pt) node[anchor=west] {ACK}; \filldraw[black] (-1.41421,-1.41421) circle (2pt) node[anchor=east] {NACK}; \filldraw[black] (2.4,0.3) circle (0.1pt) node[anchor=east] {1}; \end{tikzpicture}

plot

math

\begin{tikzpicture} \node[anchor=south west, inner sep=0] at (0,0) {\includegraphics[width=\textwidth]{2384_figures_MetamerFailure_gray.pdf}}; \draw (2.6,9.3) node[text width=4cm,align=left] {\textcolor{white}{standard}}; \draw (5.1,9.3) node[text width=4cm,align=left] {\textcolor{white}{metamer}}; \draw (7.7,9.3) node[text width=4cm,align=left] {\textcolor{white}{420~nm}}; \draw (10.2,9.3) node[text width=4cm,align=left] {\textcolor{white}{500~nm}}; \draw (12.7,9.3) node[text width=4cm,align=left] {\textcolor{white}{550~nm}}; \draw (15.1,9.3) node[text width=4cm,align=left] {\textcolor{white}{580~nm}}; \draw (17.5,9.3) node[text width=4cm,align=left] {\textcolor{white}{660~nm}}; \draw (19.7,8.3) node[text width=4cm,align=left] {\rotatebox[origin=c]{-90}{GT std}}; \draw (19.5,6.0) node[text width=4cm,align=left] {\rotatebox[origin=c]{-90}{recon std}}; \draw (19.5,3.6) node[text width=4cm,align=left] {\rotatebox[origin=c]{-90}{GT metamer}}; \draw (19.5,1.2) node[text width=4cm,align=left] {\rotatebox[origin=c]{-90}{recon metamer}}; \end{tikzpicture}

plot

eess

assets/eess/2384_figures_MetamerFailure_gray.pdf

\begin{tikzpicture} \node[circle, minimum size=0.6cm] (O1) at (-3,-2) {}; \node[circle, minimum size=0.6cm] (O2) at (3,2) {}; \node[circle, draw, minimum size=0.6cm] (A) at (-3,0) {}; \node[circle, draw, minimum size=0.6cm] (B1) at (0,-2) {}; \node[circle, draw, minimum size=0.6cm] (B2) at (0,0) {}; \node[circle, draw, minimum size=0.6cm] (B3) at (0,2) {}; \node[circle, draw, minimum size=0.6cm, fill=gray] (C) at (3,0) {}; \draw [semithick,->] (A) -- (B1); \draw [semithick,->] (A) -- (B2); \draw [semithick,->] (A) -- (B3); \draw [semithick,->] (B1) -- (C); \draw [semithick,->] (B2) -- (C); \draw [semithick,->] (B3) -- (C); \end{tikzpicture}

plot

cs

\begin{tikzpicture}[scale = 2.] \draw (0,2) -- (0,0) -- (1,0) -- (1,1) -- (0,1) -- (1,0) -- (2,0) -- (2,2) -- (1,2) -- (1,1) -- (2,1) -- (1,2) -- (0,2) -- (2,0); \end{tikzpicture}

plot

math

\begin{tikzpicture}[scale=.45] \draw [semithick] (0.2,1)--(8.8,1); \draw [semithick] (0.2,2)--(8.8,2); \draw [semithick] (0.2,3)--(8.8,3); \draw [semithick] (0.2,4)--(8.8,4); \draw [semithick] (0.2,5)--(8.8,5); \draw [semithick] (0.2,6)--(8.8,6); \draw [semithick] (0.2,7)--(8.8,7); \draw [semithick] (0.2,8)--(8.8,8); \draw [semithick] (0.2,9)--(8.8,9); \draw [semithick] (1,0.2)--(1,9.8); \draw [semithick] (2,0.2)--(2,9.8); \draw [semithick] (3,0.2)--(3,9.8); \draw [semithick] (4,0.2)--(4,9.8); \draw [semithick] (5,0.2)--(5,9.8); \draw [semithick] (6,0.2)--(6,9.8); \draw [semithick] (7,0.2)--(7,9.8); \draw [semithick] (8,0.2)--(8,9.8); \draw [line width=3] (1,0.2)--(1,9)--(6,9)--(6,9.8); \draw [line width=3] (2,0.2)--(2,2)--(7,2)--(7,9.8); \draw [line width=3] (3,0.2)--(3,1)--(8,1)--(8,9.8); \end{tikzpicture}

plot

physics

\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

cs

\begin{tikzpicture}[scale=1.5] \draw [dashed](-5.5,4)--(-5.5,6)--(-4,6)--(-4,4)--(-5.5,4); \draw [dashed](-3.5,6)--(1.5,6)--(1.5,-0.5)--(-3.5,-0.5)--(-3.5,6); \draw [dashed](2,3.0)--(2,6)--(6,6)--(6,3.0)--(2,3.0); \draw [dashed](2,-0.5)--(2,2.5)--(6,2.5)--(6,-0.5)--(2,-0.5); \draw [rounded corners,fill=gray!10](-5.25,4.5)rectangle(-4.25,5.5); \draw (-4.75,5) node {\small{Target}}; \draw [rounded corners,fill=gray!20](-3.25,4) rectangle (-1.5,5.5); \draw (-2.4,5)node{\small{Global Path}}; \draw (-2.4,4.5)node{\small{Planning}}; \draw [rounded corners,fill=gray!20](-0.5,3) rectangle (1.25,5.5); \draw (0.4,5)node{\small{Local Path}}; \draw (0.4,4.5)node{\small{Planning}}; \draw (0.4,4)node{\small{Using }}; \draw (0.35,3.5)node{\small{ Fuzzy Logic}}; \draw [rounded corners,fill=blue!20](-1.25,-0.25)rectangle (1.25,0.5); \draw (-0.25,0.2)node{\small{Translation}}; \draw [rounded corners,fill=blue!20](-1.25,0.9)rectangle (1.25,2); \draw (0,1.75)node{\small{Compare and}}; \draw (0,1.4)node{\small{Approximate}}; \draw (0,1.1)node{\small{Current Location}}; \draw [rounded corners,fill=red!20](2.25,4.75) rectangle (3.5,5.5); \draw (2.8,5.25)node {\small{driver }}; \draw (2.8,4.92)node {\small{circuit}}; \draw [rounded corners,fill=red!20](4.25,4.75) rectangle (5.75,5.5); \draw (5.0,5.3)node {\small{Left}}; \draw (5.0,4.9)node {\small{Motor}}; \draw [rounded corners,fill=red!20](2.25,3.4) rectangle (3.5,4.2); \draw (2.8,3.95)node {\small{driver }}; \draw (2.8,3.6)node {\small{circuit}}; \draw [rounded corners,fill=red!20](4.25,3.4) rectangle (5.75,4.2); \draw (5.0,4)node {\small{Right}}; \draw (5.0,3.6)node {\small{Motor}}; \draw [rounded corners,fill=green!20](2.5,1.0)rectangle (5.5,2); \draw (4,1.5)node {\small{Obstacle Sensors}}; \draw [rounded corners,fill=green!20](2.5,-0.25)rectangle (5.5,0.75); \draw (4,0.25)node {\small{GPS Sensor}}; \draw [->,very thick,color=red](-4.25,5)--(-3.25,5); \draw (-3.75,5.2)node {\small{(Lat,Lon)}}; \draw [->,very thick,color=red](-1.5,5)--(-0.5,5); \draw (-1,5.25)node {\small{Dir($\theta$)}}; \draw [->,very thick,color=red](-1.5,4.5)--(-0.5,4.5); \draw (-1,4.75)node {\small{Dis(m)}}; \draw[->,very thick,color=red](1.25,5)--(2.25,5); \draw (1.7,5.2)node {\small{$U_l(t)$}}; \draw[->,very thick,color=red](1.25,3.75)--(2.25,3.75); \draw (1.7,4)node {\small{$U_r(t)$}}; \draw[->,very thick,color=red](3.5,5)--(4.25,5); \draw (3.9,5.2)node {\small{$V_l(t)$}}; \draw[->,very thick,color=red](3.5,3.75)--(4.25,3.75); \draw (3.9,4)node {\small{$V_r(t)$}}; \draw[->,very thick,color=red](5.75,5)--(6.5,5); \draw (6.25,5.2)node {\small{$\omega_l(t)$}}; \draw[->,very thick,color=red](5.75,3.75)--(6.5,3.75); \draw (6.25,4)node {\small{$\omega_r(t)$}}; \draw [->,very thick,color=blue](5.9,5)--(5.9,-0.6)--(0,-0.6)--(0,-0.25); \draw [->,very thick,color=blue](6.2,3.75)--(6.2,-0.8)--(-0.25,-0.8)--(-0.25,-0.25); \draw [->,very thick,color=blue](0,0.5)--(0,0.9); \draw (0.5,0.7)node{\small{(lat,lon)}}; \draw [->,very thick,color=blue](-1.25,1.5)--(-2.5,1.5)--(-2.5,4); \draw (-2.75,2.5)node[rotate=90]{\small{Current Location}}; \draw [->,very thick,color=green](2.5,0.3)--(2.0,0.3)--(2.0,1.5)--(1.25,1.5); \draw [->,very thick,color=green](3,2)--(3,2.5)--(0,2.5)--(0,3); \draw (-4.7,5.75) node {\small{Reference}}; \draw (-2.5,0.5) node [color=blue]{\small{Controller}}; \draw (3.5,5.75) node [color=red]{\small{Actuator}}; \draw (4,2.25) node [color=green]{\small{Perception}}; \end{tikzpicture}

plot

eess

\begin{tikzpicture} \begin{axis}[ major x tick style = transparent, ybar, bar width=8pt, ymajorgrids = true, width=8cm,height=6cm, title=Text-to-Image, ylabel = Count, symbolic x coords={A,B,C,D}, xtick = data, scaled y ticks = false, ymin = -40, ] \addplot[style={blue,fill=blue,mark=none}] coordinates {(A,72) (B,131) (C,79) (D,128)}; \addplot[style={cyan,fill=cyan,mark=none}] coordinates {(A,92) (B,156) (C,35) (D,183)}; \addplot[style={gray,fill=gray,mark=none}] coordinates {(A,336) (B,213) (C,386) (D,189)}; \end{axis} \end{tikzpicture}

plot

cs

\begin{tikzpicture}[scale=1] \coordinate (A) at (0,-1); \coordinate (B) at (1,0); \coordinate (C) at (3,2); \filldraw (A) circle (0.0695) node[above]{$\tilde{\boldsymbol{x}}_{1}$}; \filldraw (B) circle (0.0695) node[above]{$\boldsymbol{x}_{0}$}; \filldraw (C) circle (0.0695) node[above]{$\boldsymbol{x}_{1}$}; \draw (A) -- (B); \draw (B) -- (C); \draw[dashed] (3.75,2.5) -- (3.75,-1.7); \coordinate (D) at (4.5,-2); \coordinate (E) at (6.5,-0); \coordinate (F) at (7.5,1); \filldraw (D) circle (0.0695) node[above]{${\boldsymbol{x}}_{1}$}; \filldraw (E) circle (0.0695) node[above]{$\boldsymbol{x}_{0}$}; \filldraw (F) circle (0.0695) node[above]{$\tilde{\boldsymbol{x}}_{1}$}; \draw (D) -- (E); \draw (E) -- (F); \end{tikzpicture}

plot

math

\begin{tikzpicture} \begin{axis}[ axis y line = left, axis x line = bottom, tickwidth = 5pt, enlarge y limits = 0.2, xmin = 0, xmax = 12, width = 1.5\columnwidth, yticklabels={ Wheeled\\Omni-Directional, Wheeled\\Differential Drive, Bipedal }, ytick = data, bar width = 45pt, xlabel = Number of Teams, xlabel style={ font =\large, align=center }, major grid style = { line width = 0.2pt, draw=gray!50 }, ymajorgrids=false, xmajorgrids=true, xminorgrids=false, major tick length=3mm, minor tick length=2mm, y tick label style={ font =\large, align=center }, x tick label style={ font =\large, align=center }, ] \addplot[xbar,fill=blue] coordinates { (12,2) (3,1) (2,0) }; \end{axis} \node[font=\small, text=white, align=center] at (5,7.1) {AvaDynamics, AVATRINA, Cyberselves | Touchlab, \\Dragon Tree Labs, INBIODROID, Last Mile, NimbRo,\\Pollen Robotics, Tangible, Team Northeastern,\\Team SNU, Team UNIST}; \node[font=\small, text=black, align=center] at (5,4.1) {AlterEgo, Avatar-Hubo, i-Botics}; \node[font=\small, text=black, align=center] at (2.8,1.2) {iCub, Janus}; \end{tikzpicture}

plot

cs

\begin{tikzpicture}[xscale=.8] \foreach \k in {0,2,5,9,14} {\node at (\k,1.7){$-$};} \foreach \k in {1,3,6,7,12,15,17} {\node at (\k,1.7){$0$};} \foreach \k in {4,8,10,11,13,16,18} {\node at (\k,1.7){$+$};} \foreach \k in {0,1,...,18} {\node at (\k,1.2){$\k$};} \draw (2,2) parabola[parabola height=.4cm] +(2,0); \draw (5,2) parabola[parabola height=.5cm] +(3,0); \draw (9,2) parabola[parabola height=.25cm] +(1,0); \draw (14,2) parabola[parabola height=.4cm] +(2,0); \draw (0,2) parabola[parabola height=1cm] +(11,0); \end{tikzpicture}

plot

math

\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=-0.4, xmax=8.4, 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:0,0.908921703134136) --(axis cs:0,0.618756868294435) --(axis cs:1,0.668308371828297) --(axis cs:2,0.637468229747481) --(axis cs:3,0.660313061830385) --(axis cs:4,0.624265379566408) --(axis cs:5,0.656882511976943) --(axis cs:6,0.647363624550328) --(axis cs:7,0.631106407031004) --(axis cs:8,0.659804222410999) --(axis cs:8,0.918990420446144) --(axis cs:8,0.918990420446144) --(axis cs:7,0.85661680725471) --(axis cs:6,0.933663161163957) --(axis cs:5,0.908519273737343) --(axis cs:4,0.887341763290735) --(axis cs:3,0.903303009598187) --(axis cs:2,0.888424627395376) --(axis cs:1,0.917405913885989) --(axis cs:0,0.908921703134136) --cycle; \addplot [semithick, blue] table {% 0 0.763839285714286 1 0.792857142857143 2 0.762946428571429 3 0.781808035714286 4 0.755803571428571 5 0.782700892857143 6 0.790513392857143 7 0.743861607142857 8 0.789397321428572 }; \end{axis} \end{tikzpicture}

plot

cs

\begin{tikzpicture} \node (carr0) at (-1,0) {$111 $}; \node (carr1) at (1,0) {$ 113 $}; \node (carr2) at (3,0) {$133 $}; \node (carr3) at (5,0) {$ 233 $}; \node (carr4) at (7,0) {$ 123 $}; \node (carr5) at (9,0) {$112 $}; \node (carr6) at (11,0) {$ 111 $}; \node (carr7) at (13,0) {$ \cdots $}; \foreach \i[evaluate=\i as \si using int(\i+1)] in {0,...,6} { \draw [->] (carr\i) -- (carr\si); } \node (b0) at (0,1) {$ 3 $}; \node (b1) at (2,1) {$ 3 $}; \node (b2) at (4,1) {$ 2 $}; \foreach \i in {3,...,5} { \node (b\i) at ({2*\i},1) {$1$}; } \foreach \i in {0,2,1} { \node (bt\i) at ({2*\i},-1) {$ 1 $}; } \node (bt3) at (6,-1) {$3$}; \node (bt4) at (8,-1) {$3$}; \node (bt5) at (10,-1) {$2$}; \foreach \i in {0,...,5} { \draw [->] (b\i) -- (bt\i); } \node (b6) at (12,1) {$ 1 $}; \node (bt6) at (12,-1) {$ 1 $}; \draw [->] (b6) -- (bt6); \end{tikzpicture}

plot

physics

\begin{tikzpicture}[node distance={15mm}, main/.style = {draw, circle}] \node[main] (x1) {$X_1$}; \node[main] (x2) [right of=x1] {$X_2$}; \node[main] (x3) [right of=x2] {$X_3$}; \node[main] (y1) [below of=x1] {$Y_1$}; \node[main] (y2) [below of=x2] {$Y_2$}; \node[main] (y3) [below of=x3] {$Y_3$}; \draw[->] (x1) -- (y1); \draw[->] (x1) -- (x2); \draw[->] (y1) -- (y2); \draw[->] (x2) -- (y2); \draw[->] (x2) -- (x3); \draw[->] (y2) -- (y3); \draw[->] (x3) -- (y3); \end{tikzpicture}

plot

stat

\begin{tikzpicture}[shorten >=1pt,auto,node distance=1cm,-, 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(1,0) []{}; \node[shape=circle,draw=black](2) at(0,1) []{}; \node[shape=circle,draw=black](3) at(1,1) []{}; \node[shape=circle,draw=black](4) at(-0.3,0.5) []{}; \node[shape=circle,draw=black](5) at(1.5,0.4) []{}; \path[] (0) edge []node {} (1) (1) edge []node {} (2) (4) edge []node {} (2) (5) edge []node {} (1) (5) edge []node {} (2) (3) edge []node {} (2) (5) edge []node {} (3); \end{tikzpicture}

plot

cs

\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

math

\begin{tikzpicture}\usetikzlibrary{decorations.markings} \draw[gray, dashed] (-11,-2) -- (-8,-2); \draw[gray, dashed] (-13,-1) -- (-10,-1); \filldraw[black] (-13,-1) circle (2pt) node[anchor=south] {$w$}; \filldraw[black] (-10,-1) circle (2pt) node[anchor=south] {$y$}; \filldraw[black] (-11,-2) circle (2pt) node[anchor=south] {$x$}; \filldraw[black] (-8,-2) circle (2pt) node[anchor=south] {$z$}; \filldraw[black] (-12,-1) circle (2pt); \filldraw[black] (-11,-1) circle (2pt); \filldraw[black] (-10,-2) circle (2pt); \filldraw[black] (-9,-2) circle (2pt); \begin{scope}[thick,decoration={ markings, mark=at position 0.5 with {\arrow{>}}} ] \draw[postaction={decorate}] (-12,-1)--(-11,-1); \draw[postaction={decorate}] (-10,-2)--(-9,-2); \end{scope} \end{tikzpicture}

plot

math

\begin{tikzpicture}[scale=1.6] \node[color=black] at (0.1,1.9) {(iii)};%(d) \filldraw[color=blue!40!darkgray, fill=blue!5, very thick] (1,1) circle (1); \node[align=center,color=blue!40!darkgray] at (1.1,1.05) {frozen}; \draw [thick,->] (0.2,-0.5)--(1.8,-0.5) node [right, below]{$t$}; \draw [thick,->] (0.23,-0.8)--(0.23,-0.1) node [left]{$T$}; \node at (0.25,-0.5) [left] {$0^\circ$}; \draw [->, thick, variable=\t, domain=0.5:1.5, samples=101, smooth, color=green!60!darkgray] plot (\t, {-0.7+0.08*sin(5*\t r))}); \end{tikzpicture}

plot

cs

\begin{tikzpicture}[->,shorten >=1pt,auto,node distance=2cm, thick,main node/.style={circle,draw,font=\sffamily\Large\bfseries}] \node[main node] (X2) {$X_2$}; \node[main node] (X3) [right of=X2] {$X_3$};\node[main node] (X1) [left of=X2] {$X_1$}; \path (X2) edge (X1); \path (X2) edge (X3); \end{tikzpicture}

plot

stat

\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}

plot

cs

\begin{tikzpicture}[thick, scale=2] \draw [<->] (0,2) -- (0,0) -- (4,0); \node [above] at (0,2) {minimax regret}; \node [below] at (3.6,0) {time horizon $T$}; \draw [dashed] (0,0) -- (2,2); \node [below] at (2,1.9) {$T$}; \draw [dashed, domain=0:4, smooth, variable=\x, blue] plot ({\x}, {sqrt(\x/2.5)}); \node [above, blue] at (3.8,1.2) {$d\sqrt{T}$}; \draw [red] (0,0) -- (1,1); \draw [red, dashed] (1,0) -- (1,1) -- (0,1); \node [below, red] at (1,0) {$d^3$}; \node [left, red] at (0,1) {$d^3$}; \draw[domain=2.5:4, smooth, variable=\x, red] plot ({\x}, {sqrt(\x/2.5)}); \draw [red, dashed] (2.5,0) -- (2.5,1); \node [below, red] at (2.5,0) {$d^4$}; \draw [red] (1,1) -- (2.5,1); \end{tikzpicture}

plot

stat

\begin{tikzpicture} \node {$X$} [ level 1/.style = {sibling distance = 4cm}, level 2/.style = {sibling distance = 2cm} ] child {node {$S_1$}} child{node {$S_2$}} ; \end{tikzpicture}

plot

cs

\begin{tikzpicture}[every node/.style={draw,circle,inner sep=1pt,fill=black}] \clip (-3.5,-2.5) rectangle (3.5,3.5); \foreach \s in {0,1,2} \fill[fill=green!30] (90 + 120 * \s : 2) -- + (60 + 120 * \s : 3) -- + (120 + 120 * \s : 3) -- cycle; \fill[fill=green!30] (0,2) node[label={[right]{$e_1$}}] {} -- (-1.732,-1) node[label={[above left]{$e_2$}}] {} -- (1.732,-1) node[label={[above right]{$e_3$}}] {} -- cycle; \end{tikzpicture}

plot

cs

\begin{tikzpicture}[decoration=snake] \node[left] at (0,0) (sa) {}; \node[left] at (1.45em,0) (sb) {}; \draw [-,thick,decorate,line cap=round] (sa) -- ++(2em,0); \draw [-{>[scale=1.3]},thick] (sb) -- ++(0.9em,0); \end{tikzpicture}%

plot

math

\begin{tikzpicture} \draw[lime, fill=lime] (0,0) circle [radius=0.16] node[white] {{\fontfamily{qag}\selectfont \tiny ID}}; \draw[white, fill=white] (-0.0625,0.095) circle [radius=0.007]; \end{tikzpicture}

plot

physics

\begin{tikzpicture}[scale=0.15] \tikzstyle{every node}+=[inner sep=0pt] \draw [black] (26.1,-24.1) circle (3); \draw (26.1,-24.1) node {$X_2$}; \draw [black] (18.7,-24.1) circle (3); \draw (18.7,-24.1) node {$X_1$}; \draw [black] (38.6,-7.9) circle (3); \draw (38.6,-7.9) node {$L_1$}; \draw [black] (33.7,-24.1) circle (3); \draw (33.7,-24.1) node {$X_3$}; \draw [black] (42.2,-24.1) circle (3); \draw (42.2,-24.1) node {$X_4$}; \draw [black] (49.8,-24.1) circle (3); \draw (49.8,-24.1) node {$X_5$}; \draw [black] (57.5,-24.1) circle (3); \draw (57.5,-24.1) node {$X_6$}; \draw [black] (37.9,-41) circle (3); \draw (37.9,-41) node {$L_2$}; \draw [black] (36.27,-9.79) -- (21.03,-22.21); \fill [black] (21.03,-22.21) -- (21.96,-22.09) -- (21.33,-21.31); \draw [black] (36.77,-10.28) -- (27.93,-21.72); \fill [black] (27.93,-21.72) -- (28.82,-21.4) -- (28.03,-20.79); \draw [black] (37.73,-10.77) -- (34.57,-21.23); \fill [black] (34.57,-21.23) -- (35.28,-20.61) -- (34.32,-20.32); \draw [black] (39.25,-10.83) -- (41.55,-21.17); \fill [black] (41.55,-21.17) -- (41.86,-20.28) -- (40.89,-20.5); \draw [black] (40.31,-10.37) -- (48.09,-21.63); \fill [black] (48.09,-21.63) -- (48.05,-20.69) -- (47.23,-21.26); \draw [black] (40.88,-9.85) -- (55.22,-22.15); \fill [black] (55.22,-22.15) -- (54.94,-21.25) -- (54.29,-22.01); \draw [black] (37.18,-38.09) -- (34.42,-27.01); \fill [black] (34.42,-27.01) -- (34.13,-27.91) -- (35.1,-27.67); \draw [black] (38.64,-38.09) -- (41.46,-27.01); \fill [black] (41.46,-27.01) -- (40.78,-27.66) -- (41.75,-27.91); \draw [black] (39.63,-38.55) -- (48.07,-26.55); \fill [black] (48.07,-26.55) -- (47.2,-26.92) -- (48.02,-27.49); \draw [black] (40.17,-39.04) -- (55.23,-26.06); \fill [black] (55.23,-26.06) -- (54.3,-26.2) -- (54.95,-26.96); \draw [black] (36.18,-38.54) -- (27.82,-26.56); \fill [black] (27.82,-26.56) -- (27.87,-27.5) -- (28.69,-26.93); \draw [black] (35.65,-39.02) -- (20.95,-26.08); \fill [black] (20.95,-26.08) -- (21.22,-26.99) -- (21.88,-26.24); \end{tikzpicture}

plot

stat

\begin{tikzpicture}%[scale=0.80] \draw [blue] (4,0) -- (-4,0) node[left] {$H_2:x_1=0$}; \draw [orange] (0,-3) -- (0,4)node[above] {\qquad $H_1:x_3=0$}; \draw [purple](6,-2) arc (0:90:7); \draw [purple](5,3) node[below] {\qquad $H_3:x_2=0$}; \draw [purple](2.5,-2.5) -- (-4,4) node[above] {$H_4:x_3+x_1=0$}; \draw[blue] (4,-1) -- (-4,-1) node[left] {$H_5:x_1+x_2=0$}; \draw [orange](4,1) -- (-4,1) node[left] {$H_6:x_1-x_2=0$}; \draw [blue] (-1,4) -- (-1,-4) node[below] {$H_7:x_3+x_2=0$}; \draw[blue] (3,3) -- (-3,-3) node[below] {$H_8:x_3-x_1=0$}; \draw[blue] (-4,3) -- (3,-4) node[below] {\qquad \qquad $H_9:x_3+x_1+x_2=0$}; \draw [orange](-2,4) -- (4.5,-2.5) node[below] {\qquad \qquad $H_{10}:x_3+x_1-2x_2=0$}; \draw[blue] (1.5,-3.5) -- (-4,2) node[left] {$H_{11}:x_3+x_1+2x_2=0$}; \end{tikzpicture}

plot

math

\begin{tikzpicture}[font=\footnotesize] \draw (-4,0) node {\begin{tabular}{r|cc} $p$ & $c$ & $d$ \\ \hline $a$ & $\times$ & \\ $b$ & & $\times$ \end{tabular}}; \draw (4,0) node {\begin{tabular}{r|cc} $q$ & $a$ & $b$ \\ \hline $c$ & $\times$ & \\ $d$ & & $\times$ \end{tabular}}; \end{tikzpicture}

plot

cs

\begin{tikzpicture} \node[anchor=south west,inner sep=0] at (0,0) {\includegraphics[width=.99\textwidth]{6754_imgs_levir_bit_A_1771.jpg}}; \end{tikzpicture}

plot

cs

assets/cs/6754_imgs_levir_bit_A_1771.jpg

\begin{tikzpicture} \node[draw, circle, minimum size=2cm, thick, fill=gray!30] (base_station) at (0, 0) {}; \node[draw, rectangle, minimum width=0.5cm, minimum height=0.1cm, thick, fill=white] at (base_station.north) {}; \foreach \angle in {90, 210, 330} { \draw[thick] (base_station.\angle) -- (\angle:1cm); \draw[thick, fill=black] (\angle:1cm) circle (0.1cm); } \end{tikzpicture}

plot

cs

\begin{tikzpicture}[scale=0.8] \draw [black,line width=1.4] (4,3) circle (2.5); \draw [line width=1.4, <->] (-0.5,3) -- (8.5,3); \draw [line width=1.4] (4,0) -- (4,6); \draw [line width=1.4,->] (4,3) -- (6.3,3.98); \draw [red,line width=1.4,fill=red!10] (4,5.5) circle (0.1); \draw [red,line width=1.4,fill=red!10] (5,5.29) circle (0.1); \draw [red,line width=1.4,fill=red!10] (6,4.5) circle (0.1); \draw [red,line width=1.4,fill=red!10] (3,5.29) circle (0.1); \draw [red,line width=1.4,fill=red!10] (2,4.5) circle (0.1); \draw [green,line width=1.4,fill=green!10] (4,0.5) circle (0.1); \draw [green,line width=1.4,fill=green!10] (5,0.71) circle (0.1); \draw [green,line width=1.4,fill=green!10] (6,1.5) circle (0.1); \draw [green,line width=1.4,fill=green!10] (3,0.71) circle (0.1); \draw [green,line width=1.4,fill=green!10] (2,1.5) circle (0.1); \draw [black,line width=1.4,fill=black!10] (-0.1,2.9) rectangle (0.1,3.1); \draw [black,line width=1.4,fill=black!10] (0.9,2.9) rectangle (1.1,3.1); \draw [black,line width=1.4,fill=black!10] (6.9,2.9) rectangle (7.1,3.1); \draw [black,line width=1.4,fill=black!10] (7.9,2.9) rectangle (8.1,3.1); \node at (5,3.5) [anchor=south]{$k_0$}; \node at (8,3.1) [anchor=south]{$m /R_1$}; \node at (4,6) [anchor=south]{$k_m$}; \node at (-0.5,3) [anchor=east]{$-\infty$}; \node at (8.5,3) [anchor=west]{$+\infty$}; \end{tikzpicture}

plot

physics

\begin{tikzpicture} \draw[green!50!black, ultra thick] (-4,0) -- node[above=2pt]{\begin{large}$A_-$\end{large}} (-2,0); \draw[green!50!black, ultra thick] (-2,0) -- node[above=2pt]{\begin{large}$A_+$\end{large}} (2,0); \draw[green!50!black, ultra thick] (2,0) -- node[above=2pt]{\begin{large}$A_-$\end{large}} (4,0); \filldraw [red] (-4,0) circle (2pt) node[anchor=north]{$-\infty$}; \filldraw [red] (4,0) circle (2pt) node[anchor=north]{$+\infty$}; \filldraw [blue] (-2,0) circle (2pt) node[anchor=north]{$0$}; \filldraw [blue] (2,0) circle (2pt) node[anchor=north]{$1$}; \filldraw [black] (0,0) circle (2pt) node[anchor=north]{$\frac{1}{2}$}; \end{tikzpicture}

plot

cs

\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}

plot

math

\begin{tikzpicture} \filldraw[fill=red,draw=green] circle (3pt); \end{tikzpicture}

plot

physics

\begin{tikzpicture}[scale=1.0, baseline=(current bounding box.center)] \node (XpAu1) at (-8,0) {$X + A_{U\ast}$}; \node (Ax1) at (-6,0) {$A_{X\ast}$}; \node (XpAu2) at (-4, 0) {$X + A_{\ast U}$}; \node (Ax2) at (-2,0) {$A_{\ast X}$}; \draw[arrows={-stealth},transform canvas={yshift=2pt}, shorten <=0.2em, shorten >=0.2em] (XpAu1) to node[above] {$k_1$} (Ax1); \draw[arrows={-stealth},transform canvas={yshift=-2pt}, shorten <=0.2em, shorten >=0.2em] (Ax1) to node[below] {$k_2$} (XpAu1); \draw[arrows={-stealth},transform canvas={yshift=2pt}, shorten <=0.2em, shorten >=0.2em] (XpAu2) to node[above] {$k_1$} (Ax2); \draw[arrows={-stealth},transform canvas={yshift=-2pt}, shorten <=0.2em, shorten >=0.2em] (Ax2) to node[below] {$k_2$} (XpAu2); \end{tikzpicture}

plot

eess

\begin{tikzpicture}[x=0.75pt,y=0.75pt,yscale=-0.9,xscale=0.9] \draw [line width=1.5] (43.5,61.67) -- (68.5,59.67) ; \draw [line width=1.5] (68.5,59.67) -- (94,84.17) ; \draw [line width=1.5] (79.22,139.95) -- (92.5,118.67) ; \draw [line width=1.5] (94,84.17) -- (127,69.17) ; \draw [line width=1.5] (106.22,139.45) -- (92.5,118.67) ; \draw [line width=1.5] (94,84.17) -- (92.5,118.67) ; \draw [line width=1.5] (253.57,49.17) -- (273.06,61.77) ; \draw [line width=1.5] (273.06,61.77) -- (320.44,61.77) ; \draw [color={rgb, 255:red, 182; green, 5; blue, 60 } ,draw opacity=1 ][line width=1.5] (273.06,61.77) -- (296.18,105.61) ; \draw [shift={(297.58,108.26)}, rotate = 242.19] [color={rgb, 255:red, 182; green, 5; blue, 60 } ,draw opacity=1 ][line width=1.5] (14.21,-4.28) .. controls (9.04,-1.82) and (4.3,-0.39) .. (0,0) .. controls (4.3,0.39) and (9.04,1.82) .. (14.21,4.28) ; \draw [color={rgb, 255:red, 182; green, 5; blue, 60 } ,draw opacity=1 ][line width=1.5] (320.44,61.77) -- (298.91,105.57) ; \draw [shift={(297.58,108.26)}, rotate = 296.18] [color={rgb, 255:red, 182; green, 5; blue, 60 } ,draw opacity=1 ][line width=1.5] (14.21,-4.28) .. controls (9.04,-1.82) and (4.3,-0.39) .. (0,0) .. controls (4.3,0.39) and (9.04,1.82) .. (14.21,4.28) ; \draw [line width=1.5] (320.44,61.77) -- (341.3,50.04) ; \draw [line width=1.5] (297.58,108.26) -- (298,130.96) ; \draw [line width=1.5] (55.5,37.17) -- (68.5,59.67) ; \draw [line width=1.5] (341.3,50.04) -- (352,32.67) ; \draw [line width=1.5] (341.3,50.04) -- (359,58.67) ; \draw [line width=1.5] (253.57,49.17) -- (241,32.17) ; \draw [line width=1.5] (234.5,54.17) -- (253.57,49.17) ; \draw [line width=1.5] (298,130.96) -- (281.5,146.67) ; \draw [line width=1.5] (298,130.96) -- (313.5,147.17) ; \draw [line width=1.5] (127,69.17) -- (137.7,51.8) ; \draw [line width=1.5] (127,69.17) -- (144.7,77.8) ; \draw (25.83,53.43) node [anchor=north west][inner sep=0.75pt] [font=\normalsize,color={rgb, 255:red, 6; green, 79; blue, 97 } ,opacity=1 ] {$b_{1}$}; \draw (66.24,141.69) node [anchor=north west][inner sep=0.75pt] [font=\normalsize,color={rgb, 255:red, 6; green, 79; blue, 97 } ,opacity=1 ] {$a_{1}$}; \draw (102.74,141.69) node [anchor=north west][inner sep=0.75pt] [font=\normalsize,color={rgb, 255:red, 6; green, 79; blue, 97 } ,opacity=1 ] {$a_{2}$}; \draw (77.3,94.8) node [anchor=north west][inner sep=0.75pt] [font=\small] {$\ell _{1}$}; \draw (352.83,19.22) node [anchor=north west][inner sep=0.75pt] [font=\normalsize,color={rgb, 255:red, 6; green, 79; blue, 97 } ,opacity=1 ] {$c_{1}$}; \draw (218.24,47.98) node [anchor=north west][inner sep=0.75pt] [font=\normalsize,color={rgb, 255:red, 6; green, 79; blue, 97 } ,opacity=1 ] {$b_{1}$}; \draw (362,53.07) node [anchor=north west][inner sep=0.75pt] [font=\normalsize,color={rgb, 255:red, 6; green, 79; blue, 97 } ,opacity=1 ] {$c_{2}$}; \draw (286.2,74.99) node [anchor=north west][inner sep=0.75pt] [font=\small,color={rgb, 255:red, 182; green, 5; blue, 60 } ,opacity=1 ] {$\gamma $}; \draw (260.1,40.29) node [anchor=north west][inner sep=0.75pt] [font=\small] {$\ell _{2}$}; \draw (327.8,58.59) node [anchor=north west][inner sep=0.75pt] [font=\small] {$\ell _{3}$}; \draw (292.2,48.99) node [anchor=north west][inner sep=0.75pt] [font=\small] {$x$}; \draw (39.83,21.43) node [anchor=north west][inner sep=0.75pt] [font=\normalsize,color={rgb, 255:red, 6; green, 79; blue, 97 } ,opacity=1 ] {$b_{2}$}; \draw (79.3,55.8) node [anchor=north west][inner sep=0.75pt] [font=\small] {$\ell _{2}$}; \draw (222.24,18.48) node [anchor=north west][inner sep=0.75pt] [font=\normalsize,color={rgb, 255:red, 6; green, 79; blue, 97 } ,opacity=1 ] {$b_{2}$}; \draw (270.74,149.48) node [anchor=north west][inner sep=0.75pt] [font=\normalsize,color={rgb, 255:red, 6; green, 79; blue, 97 } ,opacity=1 ] {$a_{1}$}; \draw (309.24,149.48) node [anchor=north west][inner sep=0.75pt] [font=\normalsize,color={rgb, 255:red, 6; green, 79; blue, 97 } ,opacity=1 ] {$a_{2}$}; \draw (139.83,39.4) node [anchor=north west][inner sep=0.75pt] [font=\normalsize,color={rgb, 255:red, 6; green, 79; blue, 97 } ,opacity=1 ] {$c_{1}$}; \draw (147,73.26) node [anchor=north west][inner sep=0.75pt] [font=\normalsize,color={rgb, 255:red, 6; green, 79; blue, 97 } ,opacity=1 ] {$c_{2}$}; \draw (108.8,78.8) node [anchor=north west][inner sep=0.75pt] [font=\small] {$\ell _{3}$}; \draw (300.08,114.16) node [anchor=north west][inner sep=0.75pt] [font=\small] {$\ell _{1}$}; \draw (267.58,82.66) node [anchor=north west][inner sep=0.75pt] [font=\small,color={rgb, 255:red, 108; green, 4; blue, 35 } ,opacity=1 ] {$h_{1}$}; \draw (312.08,84.16) node [anchor=north west][inner sep=0.75pt] [font=\small,color={rgb, 255:red, 108; green, 4; blue, 35 } ,opacity=1 ] {$h_{2}$}; \end{tikzpicture}

plot

q-bio

\begin{tikzpicture}[scale=0.8] \begin{axis}[ xlabel style={align=center}, xlabel=Demand uncertainty multiplier ($m_d$) \\ less variance \hspace{1cm} more variance, ylabel=Cost ratio, legend pos=north west ] \addplot[mark=*,blue] plot coordinates { (0.1,0.9611)(0.2,0.9621)(0.3,0.9634)(0.4,0.9654)(0.5,0.9985)(0.6,1.0049)(0.7,1.0082)(0.8,0.9783)(0.9,0.994)(1,1)(1.1,1.004)(1.2,0.9676)(1.3,0.9734)(1.4,0.972)(1.5,0.9793)(1.6,0.9868)(1.7,0.9947)(1.8,1.003)(1.9,1.0258) }; \addlegendentry{Emmen} \addplot[color=red,mark=x] plot coordinates { (0.1,0.9724)(0.2,0.9736)(0.3,0.9808)(0.4,0.9837)(0.5,0.9871)(0.6,0.9802)(0.7,0.9892)(0.8,0.9949)(0.9,0.9929)(1,1)(1.1,1.0022)(1.2,1.0105)(1.3,1.0334)(1.4,1.0438)(1.5,1.0544)(1.6,1.0656)(1.7,1.0718)(1.8,1.0814)(1.9,1.1013) }; \addlegendentry{Eemshaven 1} \addplot[color=green,mark=square] coordinates { (0.1,0.9966)(0.2,0.9914)(0.3,0.9904)(0.4,0.9926)(0.5,0.9748)(0.6,0.9783)(0.7,0.9827)(0.8,0.9909)(0.9,0.9963)(1,1)(1.1,1.0072)(1.2,1.0125)(1.3,1.0205)(1.4,1.0278)(1.5,1.0381)(1.6,1.0476)(1.7,1.0563)(1.8,1.0773)(1.9,1.0893) }; \addlegendentry{Eemshaven 2} \end{axis} \end{tikzpicture}

plot

math

\centering\begin{tikzpicture} \draw[white,fill=white!90!black] (-2,-2) rectangle (2,2); \draw[->,thick] (0,0)--(0.5,0); \draw[->,thick] (0,0) -- (65:1); \draw[blue,thick] plot[mark=x] (0,0); \end{tikzpicture}

plot

math

\begin{tikzpicture}[z=0.35cm] \node (000) at (0,0,0) {$scr_{p_b}$}; \node (010) at (0,0,4) {$noscr$}; \draw (000) -- node[fill=white,inner sep=1pt] {$b$} (010); \end{tikzpicture}

plot

cs

\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}

plot

stat

\begin{tikzpicture} \begin{axis} [ ybar, ylabel={\# Reported Labels}, % the ylabel must precede a # symbol. xlabel={\ Stress Levels (SL)}, bar width =20, symbolic x coords={SL1,SL2,SL3,SL4,SL5}, % these are the specification of coordinates on the x-axis. xtick align=inside, grid=major, xtick=data, nodes near coords, % this command is used to mention the y-axis points on the top of the particular bar. nodes near coords align={vertical}, ] \addplot [draw=black,fill=gray] coordinates { (SL1,288) (SL2,142) (SL3,120) (SL4,20) (SL5,21)}; \end{axis} \end{tikzpicture}

plot

cs

\begin{tikzpicture}[x=0.43pt,y=0.48pt,yscale=-1,xscale=1] \small \draw (100,126) -- (242,126) -- (242,171.27) -- (100,171.27) -- cycle ; \draw (330,129.27) -- (493,129.27) -- (493,175.27) -- (330,175.27) -- cycle ; \draw (243,148.36) -- (328,148.28) ; \draw [shift={(330,148.28)}, rotate = 539.94] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (10.93,-4.9) .. controls (6.95,-2.3) and (3.31,-0.67) .. (0,0) .. controls (3.31,0.67) and (6.95,2.3) .. (10.93,4.9) ; \draw (492.4,152.15) -- (559.75,152.27) ; \draw [shift={(561.75,152.27)}, rotate = 180.1] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (10.93,-4.9) .. controls (6.95,-2.3) and (3.31,-0.67) .. (0,0) .. controls (3.31,0.67) and (6.95,2.3) .. (10.93,4.9) ; \draw (532,152) -- (532.2,217) ; \draw (170.6,217) -- (532.2,217) ; \draw (170.6,217) -- (170.6,173.8) ; \draw [shift={(170.6,171.8)}, rotate = 450] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (10.93,-4.9) .. controls (6.95,-2.3) and (3.31,-0.67) .. (0,0) .. controls (3.31,0.67) and (6.95,2.3) .. (10.93,4.9) ; \draw [dash pattern={on 4.5pt off 4.5pt}] (14,145.6) -- (100,145.79) ; \draw [shift={(100.2,145.8)}, rotate = 180.17] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (10.93,-4.9) .. controls (6.95,-2.3) and (3.31,-0.67) .. (0,0) .. controls (3.31,0.67) and (6.95,2.3) .. (10.93,4.9) ; \draw (413,105) -- (413,125.86) ; \draw [shift={(413,127.86)}, rotate = 271.79] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (10.93,-4.9) .. controls (6.95,-2.3) and (3.31,-0.67) .. (0,0) .. controls (3.31,0.67) and (6.95,2.3) .. (10.93,4.9) ; \draw (102,129) node [anchor=north west][inner sep=0.75pt] [align=left] {Hybrid vector\\ estimation \eqref{eqn:hybrid_observer0-2}}; \draw (332,132.27) node [anchor=north west][inner sep=0.75pt] [align=left] {Attitude\\ estimation \eqref{eqn:hybrid_observer0-1}}; \draw (14,123) node [anchor=north west][inner sep=0.75pt] [align=left] {$b_1,...,b_N$}; \draw (243,126) node [anchor=north west][inner sep=0.75pt] [align=left] {$\hat{r}_1,...,\hat{r}_N$}; \draw (498,128) node [anchor=north west][inner sep=0.75pt] [align=left] {$\hat{R}$}; \draw (420,110) node [anchor=north west][inner sep=0.75pt] [align=left] {$\omega$}; \end{tikzpicture}

plot

cs

\begin{tikzpicture}[scale=1.3, every node/.style={font=\footnotesize}, arrow/.style={ decoration={markings,mark=at position 0.5 with {\arrow{#1}}}, postaction={decorate} }] \draw (0,0) -- (2,0); \draw[dotted] (2,0) -- (3,0); \draw (3,0) -- (5,0); \foreach \x/\label in {0/$s$, 2/$b$, 3/$b'$, 5/$t$} { \draw (\x,0) node[circle,fill,inner sep=1pt,label=below:\label] {}; } \draw (-0.5,1) to [bend left=20] (5.5,1); \draw (-0.5,1) node[circle,fill,inner sep=1pt,label=left:{$s_1$}]{}; \draw (5.5,1) node[circle,fill,inner sep=1pt,label=right:{$t_1$}]{}; \draw[dashed] (2,0) -- (-0.5,1) node[midway,above,xshift=1cm] {$(b,a,s_1)$}; \draw[dashed] (5.5,1) -- (3,0) node[midway,above,xshift=-1cm] {$(b',a',t_1)$}; \end{tikzpicture}

plot

math

\begin{tikzpicture} \draw[lime, fill=lime] (0,0) circle [radius=0.16] node[white] {{\fontfamily{qag}\selectfont \tiny ID}}; \draw[white, fill=white] (-0.0625,0.095) circle [radius=0.007]; \end{tikzpicture}

plot

physics

\begin{tikzpicture}[scale=0.8] \begin{axis}[ xlabel style={align=center}, xlabel=Supply mean multiplier ($m_s$) \\ supply $<$ demand \hspace{1cm} supply $>$ demand, ylabel=Costs, legend pos=north east] \addplot[mark=*,blue] plot coordinates { (0.9,7529.13)(0.91,7232.14)(0.92,6945.85)(0.93,6662.98)(0.94,6397.19)(0.95,6132.47)(0.96,5868.12)(0.97,5613.23)(0.98,5369.94)(0.99,5120.79)(1,4893.81)(1.01,4663.45)(1.02,4432.52)(1.03,4215.99)(1.04,4003.61)(1.05,3792.92)(1.06,3592.97)(1.07,3396.85)(1.08,3200.73)(1.09,3017.23)(1.1,2836.53) }; \addlegendentry{Emmen} \addplot[color=red,mark=x] plot coordinates { (0.9,12534.7)(0.91,11410)(0.92,10302.9)(0.93,9208.57)(0.94,8159.19)(0.95,7124.86)(0.96,6111.23)(0.97,5139.65)(0.98,4225.13)(0.99,3347.56)(1,2553.18)(1.01,1838.67)(1.02,1138.23)(1.03,503.95)(1.04,-75.29)(1.05,-617.78)(1.06,-1104.31)(1.07,-1564.48)(1.08,-2000.27)(1.09,-2401.44)(1.1,-2781.12) }; \addlegendentry{Eemshaven 1} \addplot[color=green,mark=square] plot coordinates { (0.9,11612.8)(0.91,10481.2)(0.92,9328.73)(0.93,8176.09)(0.94,7067.83)(0.95,5936.38)(0.96,4810.44)(0.97,3729.9)(0.98,2666.17)(0.99,1631.35)(1,678.88)(1.01,-197.71)(1.02,-1031.04)(1.03,-1801.07)(1.04,-2511.66)(1.05,-3213.76)(1.06,-3893.15)(1.07,-4547.74)(1.08,-5216.9)(1.09,-5877.51)(1.1,-6534.12) }; \addlegendentry{Eemshaven 2} \end{axis} \end{tikzpicture}

plot

math

\begin{tikzpicture}[scale=1.3, every node/.style={font=\footnotesize}, arrow/.style={ decoration={markings,mark=at position 0.5 with {\arrow{#1}}}, postaction={decorate} }] \draw (0,2) -- (2,2); \draw[dotted] (0,2) -- (3,2); \draw (3,2) -- (5,2); \foreach \x/\label in {0/$s_1$, 2/$b_1$, 3/$b_1'$, 5/$t_1$} { \draw (\x,2) node[circle,fill,inner sep=1pt,label=above:\label] {}; } \draw (0,0) -- (2,0); \draw[dotted] (2,0) -- (3,0); \draw (3,0) -- (5,0); \foreach \x/\label in {0/$s_2$, 2/$b_2$, 3/$b_2'$, 5/$t_2$} { \draw (\x,0) node[circle,fill,inner sep=1pt,label=below:\label] {}; } \draw[dashed] (2,2) -- (2,0) node[midway,right] {$(b_1,a,b_2)$}; \end{tikzpicture}

plot

math

\begin{tikzpicture} \filldraw (0,0) circle (0.05) node[left]{$p_{0,0}$}; \filldraw (1,0) circle (0.05) node[right]{$p_{0,t}$}; \draw[-latex,red] (0,0)..controls (0.3, 1)and(0.7,1)..(1.0,0); \node at (0.5, 1.1) {transition}; \filldraw (2.7, 0) circle (0.05); \node at (2.5, -0.25) {$p_{0,S}=p_{1,0}$}; \filldraw (3.7,0) circle (0.05) node[right]{$p_{1,t}$}; \draw[-latex,red] (2.7,0)..controls (3, 1)and(3.4,1)..(3.7,0); \node at (3.2, 1.1) {transition}; \draw[dashed] (0,0)--(2.7,0); \filldraw (5.4, 0) circle (0.05); \node at (5, -0.25) {$p_{1,S}=p_{2,0}$}; \filldraw (6.4,0) circle (0.05) node[right]{$p_{2,t}$}; \draw[-latex,red] (5.4,0)..controls (5.7, 1)and(6.1,1)..(6.4,0); \node at (5.9, 1.1) {transition}; \draw[-latex,blue] (5.4,0)..controls (4.5, -1)and(3.6,-1)..(2.7,0); \node at (4, -1.1) {recursive cal}; \draw[-latex,blue] (2.7,0)..controls (1.8, -1)and(0.9,-1)..(0,0); \node at (1.3, -1.1) {recursive cal}; \draw[dashed] (2.7,0)--(5.4,0); \filldraw (10,0) circle (0.05); \node at (10, -0.25) {$p_{\infty}$}; \draw[dashed] (5.4,0)--(10,0); \filldraw (9,0) circle (0.05) node[left]{$p_{K,S}$}; \end{tikzpicture}

plot

stat

\begin{tikzpicture}[scale=1.5] \draw [gray] (0,0) grid (2,2); \node [above] at (0,.80) {$m_{i,j-1}$}; \node [above] at (1,.80) {$m_{i,j}$}; \node [above] at (2,.80) {$m_{i,j+1}$}; \node [above] at (0,1.80) {$m_{i-1,j-1}$}; \node [above] at (1,1.80) {$m_{i-1,j}$}; \node [above] at (2,1.80) {$m_{i-1,j+1}$}; \node [above] at (0,-.20) {$m_{i+1,j-1}$}; \node [above] at (1,-.20) {$m_{i+1,j}$}; \node [above] at (2,-.20) {$m_{i+1,j+1}$}; \node [above] at (0.5,0.3) {$t_{i,j-1}$}; \node [above] at (0.5,1.3) {$t_{i-1,j-1}$}; \node [above] at (1.5,0.3) {$t_{i,j}$}; \node [above] at (1.5,1.3) {$t_{i-1,j}$}; \end{tikzpicture}

plot

math

\begin{tikzpicture}[scale=0.5, every node/.style={scale=0.9}, >=latex] \node[circle, draw, minimum size=0.3cm] (A) at (0,0) {}; \node[circle, draw, minimum size=0.3cm] (B) at (0,3.6) {}; \node[circle, draw, minimum size=0.3cm, fill=gray] (C) at (4,1.8) {}; \draw [semithick,->] (A) edge [bend left] node[pos=0.5,above] {(2,1)} (C); \draw [semithick,->] (A) -- (C) node[pos=0.5,below] {(2,1)}; \draw [semithick,->] (B) -- (C) node[pos=0.5,above] {(1,1)}; \node[circle, draw, minimum size=0.3cm] (A2) at (8,3.6) {}; \node[circle, draw, minimum size=0.3cm] (B2) at (8,1.8) {}; \node[circle, draw, minimum size=0.3cm, fill=gray] (C2) at (12,1.8) {}; \node[circle, draw, minimum size=0.3cm] (D2) at (8,0) {}; \draw [semithick,->] (A2) -- (C2) node[pos=0.5,above] {(1,1)}; \draw [semithick,->] (B2) -- (C2) node[pos=0.3,above] {(2,1)}; \draw [semithick,->] (D2) -- (C2) node[pos=0.5,below] {(3,1)}; \end{tikzpicture}

plot

cs

\begin{tikzpicture} \begin{axis}[ xlabel=Unconditional Guidance Scale, ylabel=FID, xmin=2, xmax=8, ymin=4, ymax=14, xtick={2.5,5.0,7.5}, width=8cm,height=8.2cm, legend style={at={(0.22,0.96)},anchor=north,legend cell align=left}, ] \addplot+[ blue, mark=*, mark size=3pt, mark options={fill=blue}, error bars/.cd,y dir=both,y explicit, ] coordinates { (2.5, 11.3355988257) +- (0, 0.0796762530121) (5.0, 11.1023553055) +- (0, 0.0916626027159) (7.5, 13.405008415) +- (0, 0.0681356441779) };\label{t2i-fid}\addlegendentry{FID(T2I)} \addplot+[ cyan, mark=*, mark size=3pt, mark options={fill=cyan}, error bars/.cd,y dir=both,y explicit, ] coordinates { (2.5, 4.56646982092) +- (0, 0.0211169100996) (5.0, 6.7336671616) +- (0, 0.0299270554132) (7.5, 8.48817909203) +- (0, 0.0205315863737) };\label{iv-fid}\addlegendentry{FID(IV)} \end{axis} \end{tikzpicture}

plot

cs

\begin{tikzpicture}[ball/.style = {circle, draw, align=center, anchor=north, inner sep=0}] \begin{scope}[scale={1}, transform shape] \coordinate [label={$=$}] (aaa) at (1.5,0); \coordinate [label={$+2$}] (aaa) at (4.5,0); \coordinate [label={$+2$}] (aaa) at (7.2,0); \coordinate [label={$+4$}] (aaa) at (10,0); \end{scope} \begin{scope}[scale={.5}, shift={(-10,2)}, transform shape] \pgfmathsetmacro{\factor}{1/sqrt(2)}; \coordinate (c1a) at (9.75,0,-.75*\factor); \coordinate (b1a) at (8.25,0,-.75*\factor); \coordinate (a2a) at (9.75,-.65,.75*\factor); \coordinate (c2a) at (10.5,-3,-1.5*\factor); \coordinate (b2a) at (7.5,-3,-1.5*\factor); \coordinate (a1a) at (10.5,-3.75,1.5*\factor); \draw[dotted,red,opacity=.2] (b1a) -- (c1a); \draw[dotted,blue,opacity=.2] (b1a) -- (a1a) -- (c1a); \draw[dotted,red,opacity=.2] (b2a) -- (c2a); \draw[dotted,blue,opacity=.2] (b2a) -- (a2a) -- (c2a); \coordinate (x1) at (intersection of a1a--b1a and a2a--b2a); \coordinate (x2) at (intersection of a1a--c1a and a2a--c2a); \draw[dashed,draw=none,fill=green!60, opacity=.9] (c2a) -- (b2a) -- (b1a) -- (c1a) -- cycle; \draw[draw=none,fill=green!60,opacity=.9] (b2a) -- (c2a) -- (x2) --(x1)-- cycle; \draw[draw=none,fill=green!60,opacity=.9] (x1) -- (b1a) -- (b2a) -- cycle; \draw[draw=none,fill=green!60!gray,opacity=.9] (c1a) -- (x2) -- (c2a) -- cycle; \draw[draw=none,fill=green!60,opacity=.9] (b1a) -- (c1a) -- (x2)--(x1) -- cycle; \draw[draw=none,fill=blue!60, opacity=.675] (b1a) -- (c1a) -- (x2) --(x1)-- cycle; \draw[draw=none,fill=blue!60,opacity=.675] (b1a) -- (x1) -- (a2a) -- cycle; \draw[draw=none,fill=blue!60!gray,opacity=.9] (a2a) -- (x2) -- (c1a) -- cycle; \draw[draw=none,fill=blue!60!white,opacity=.9] (b1a) -- (c1a) -- (a2a) -- cycle; \draw[draw=none,fill=blue!60,opacity=.675] (a2a) -- (x1) -- (x2) -- cycle; \draw[draw=none,fill=blue!60, opacity=.675] (c2a) -- (b2a) -- (a1a) -- cycle; \draw[draw=none,fill=blue!60, opacity=.675] (c2a) -- (b2a) -- (x1) --(x2)-- cycle; \draw[draw=none,fill=blue!60,opacity=.675] (x1) -- (a1a) -- (b2a) -- cycle; \draw[draw=none,fill=blue!60!gray,opacity=.675] (x2) -- (a1a) -- (c2a) -- cycle; \draw[draw=none,fill=blue!60,opacity=.675] (x1) -- (a1a) -- (x2) -- cycle; \draw[draw=none,fill=green!60,opacity=.9] (x1) -- (x2) -- (a2a) -- cycle; \draw[draw=none,fill=green!60,opacity=.9] (x1) -- (a1a) -- (x2) -- cycle; \draw[draw=none,fill=green!60,opacity=.9] (x1) -- (a2a) -- (a1a) -- cycle; \draw[draw=none,fill=green!60!gray,opacity=.9] (x2) -- (a2a) -- (a1a) -- cycle; \end{scope} \begin{scope}[scale={.5}, shift={(-3.5,2)}, transform shape] \pgfmathsetmacro{\factor}{1/sqrt(2)}; \coordinate (c1a) at (9.75,0,-.75*\factor); \coordinate (b1a) at (8.25,0,-.75*\factor); \coordinate (a2a) at (9.75,-.65,.75*\factor); \coordinate (c2a) at (10.5,-3,-1.5*\factor); \coordinate (b2a) at (7.5,-3,-1.5*\factor); \coordinate (a1a) at (10.5,-3.75,1.5*\factor); \draw[dotted,black,opacity=.3] (b2a) -- (c2a); \draw[draw=none,fill=green!60, opacity=.9] (c2a) -- (b2a) -- (b1a) -- (c1a) -- cycle; \draw[draw=none,fill=green!60, opacity=.9] (c2a) -- (b2a) -- (a1a) -- cycle; \draw[draw=none,fill=green!40!white,opacity=.9] (b1a) -- (c1a) -- (a2a) -- cycle; \draw[draw=none,fill=green!60!gray, opacity=.9] (c2a) -- (c1a) -- (a2a) --(a1a)-- cycle; \draw[black] (b1a) -- (c1a) -- (a2a) -- cycle; \draw[black] (b1a) -- (b2a)--(a1a)--(a2a)--cycle; \draw[black] (c1a) -- (c2a)--(a1a)--(a2a)--cycle; \end{scope} \begin{scope}[scale={.5}, shift={(2,2)}, transform shape] % Specify the rotation angle (30 degrees) \pgfmathsetmacro{\factor}{1/sqrt(2)}; \coordinate (c1a) at (9.75,0,-.75*\factor); \coordinate (b1a) at (8.25,0,-.75*\factor); \coordinate (a2a) at (9.75,-.65,.75*\factor); \coordinate (c2a) at (10.5,-3,-1.5*\factor); \coordinate (b2a) at (7.5,-3,-1.5*\factor); \coordinate (a1a) at (10.5,-3.75,1.5*\factor); \draw[dotted,red,opacity=.2] (b1a) -- (c1a); \draw[dotted,blue,opacity=.2] (b1a) -- (a1a) -- (c1a); \draw[dotted,red,opacity=.2] (b2a) -- (c2a); \draw[dotted,blue,opacity=.2] (b2a) -- (a2a) -- (c2a); \coordinate (x1) at (intersection of a1a--b1a and a2a--b2a); \coordinate (x2) at (intersection of a1a--c1a and a2a--c2a); \draw[dashed,draw=none,fill=green!60, opacity=.1] (c2a) -- (b2a) -- (b1a) -- (c1a) -- cycle; \draw[draw=none,fill=green!60,opacity=.1] (b2a) -- (c2a) -- (x2) --(x1)-- cycle; \draw[draw=none,fill=green!60,opacity=.1] (x1) -- (b1a) -- (b2a) -- cycle; \draw[draw=none,fill=green!45!black,opacity=.1] (c1a) -- (x2) -- (c2a) -- cycle; \draw[draw=none,fill=green!60,opacity=.1] (b1a) -- (c1a) -- (x2)--(x1) -- cycle; \draw[draw=none,fill=blue!60, opacity=.1] (b1a) -- (c1a) -- (x2) --(x1)-- cycle; \draw[draw=none,fill=blue!60,opacity=.1] (b1a) -- (x1) -- (a2a) -- cycle; \draw[draw=none,fill=blue!45!black,opacity=.1] (a2a) -- (x2) -- (c1a) -- cycle; \draw[draw=none,fill=blue!45!white,opacity=.1] (b1a) -- (c1a) -- (a2a) -- cycle; \draw[draw=none,fill=blue!60,opacity=.1] (a2a) -- (x1) -- (x2) -- cycle; \draw[fill=blue!60, opacity=.675] (c2a) -- (b2a) -- (a1a) -- cycle; \draw[fill=blue!60, opacity=.675] (c2a) -- (b2a) -- (a2a)-- cycle; \draw[,fill=blue!60,opacity=.6] (a2a) -- (a1a) -- (b2a) -- cycle; \draw[fill=blue!40!darkgray,opacity=.675] (a2a) -- (a1a) -- (c2a) -- cycle; \end{scope} \begin{scope}[scale={.5}, shift={(7.5,2)}, transform shape] % Specify the rotation angle (30 degrees) \pgfmathsetmacro{\factor}{1/sqrt(2)}; \coordinate (c1a) at (9.75,0,-.75*\factor); \coordinate (b1a) at (8.25,0,-.75*\factor); \coordinate (a2a) at (9.75,-.65,.75*\factor); \coordinate (c2a) at (10.5,-3,-1.5*\factor); \coordinate (b2a) at (7.5,-3,-1.5*\factor); \coordinate (a1a) at (10.5,-3.75,1.5*\factor); \draw[dotted,red,opacity=.2] (b1a) -- (c1a); \draw[dotted,blue,opacity=.2] (b1a) -- (a1a) -- (c1a); \draw[dotted,red,opacity=.2] (b2a) -- (c2a); \draw[dotted,blue,opacity=.2] (b2a) -- (a2a) -- (c2a); \coordinate (x1) at (intersection of a1a--b1a and a2a--b2a); \coordinate (x2) at (intersection of a1a--c1a and a2a--c2a); \draw[dashed,draw=none,fill=green!60, opacity=.1] (c2a) -- (b2a) -- (b1a) -- (c1a) -- cycle; \draw[draw=none,fill=green!60,opacity=.1] (b2a) -- (c2a) -- (x2) --(x1)-- cycle; \draw[draw=none,fill=green!60,opacity=.1] (x1) -- (b1a) -- (b2a) -- cycle; \draw[draw=none,fill=green!45!black,opacity=.1] (c1a) -- (x2) -- (c2a) -- cycle; \draw[draw=none,fill=green!60,opacity=.1] (b1a) -- (c1a) -- (x2)--(x1) -- cycle; \draw[draw=none,fill=blue!60, opacity=.1] (c2a) -- (b2a) -- (a1a) -- cycle; \draw[draw=none,fill=blue!60, opacity=.1] (c2a) -- (b2a) -- (x1) --(x2)-- cycle; \draw[draw=none,fill=blue!60,opacity=.1] (x1) -- (a1a) -- (b2a) -- cycle; \draw[draw=none,fill=blue!45!black,opacity=.1] (x2) -- (a1a) -- (c2a) -- cycle; \draw[draw=none,fill=blue!60,opacity=.1] (x1) -- (a1a) -- (x2) -- cycle; \draw[draw=none,fill=green!60,opacity=.1] (x1) -- (x2) -- (a2a) -- cycle; \draw[draw=none,fill=green!60,opacity=.1] (x1) -- (a1a) -- (x2) -- cycle; \draw[draw=none,fill=green!60,opacity=.1] (x1) -- (a2a) -- (a1a) -- cycle; \draw[draw=none,fill=green!45!black,opacity=.1] (x2) -- (a2a) -- (a1a) -- cycle; \draw[fill=blue!60,opacity=.675] (a2a)-- (b1a) -- (a1a) -- cycle; \draw[fill=blue!45!gray,opacity=.675] (a2a) -- (a1a)-- (c1a) -- cycle; \draw[fill=blue!45!white,opacity=.675] (b1a) -- (c1a) -- (a2a) -- cycle; \draw[fill=blue!60,opacity=.675] (b1a) -- (a1a) -- (c1a)-- cycle; \draw[opacity=.675](a2a) -- (c1a); \draw[opacity=.675](a2a) -- (a1a); \draw[opacity=.675](a2a) -- (b1a); \end{scope} \begin{scope}[scale={.5}, shift={(13,2)}, transform shape] % Specify the rotation angle (30 degrees) \pgfmathsetmacro{\factor}{1/sqrt(2)}; \coordinate (c1a) at (9.75,0,-.75*\factor); \coordinate (b1a) at (8.25,0,-.75*\factor); \coordinate (a2a) at (9.75,-.65,.75*\factor); \coordinate (c2a) at (10.5,-3,-1.5*\factor); \coordinate (b2a) at (7.5,-3,-1.5*\factor); \coordinate (a1a) at (10.5,-3.75,1.5*\factor); \draw[dotted,red,opacity=.2] (b1a) -- (c1a); \draw[dotted,blue,opacity=.2] (b1a) -- (a1a) -- (c1a); \draw[dotted,red,opacity=.2] (b2a) -- (c2a); \draw[dotted,blue,opacity=.2] (b2a) -- (a2a) -- (c2a); \coordinate (x1) at (intersection of a1a--b1a and a2a--b2a); \coordinate (x2) at (intersection of a1a--c1a and a2a--c2a); \draw[dashed,draw=none,fill=green!60, opacity=.1] (c2a) -- (b2a) -- (b1a) -- (c1a) -- cycle; \draw[draw=none,fill=green!60,opacity=.1] (b2a) -- (c2a) -- (x2) --(x1)-- cycle; \draw[draw=none,fill=green!60,opacity=.1] (x1) -- (b1a) -- (b2a) -- cycle; \draw[draw=none,fill=green!45!black,opacity=.1] (c1a) -- (x2) -- (c2a) -- cycle; \draw[draw=none,fill=green!60,opacity=.1] (b1a) -- (c1a) -- (x2)--(x1) -- cycle; \draw[draw=none,fill=blue!60, opacity=.1] (b1a) -- (c1a) -- (x2) --(x1)-- cycle; \draw[draw=none,fill=blue!60,opacity=.1] (b1a) -- (x1) -- (a2a) -- cycle; \draw[draw=none,fill=blue!45!black,opacity=.1] (a2a) -- (x2) -- (c1a) -- cycle; \draw[draw=none,fill=blue!45!white,opacity=.1] (b1a) -- (c1a) -- (a2a) -- cycle; \draw[draw=none,fill=blue!60,opacity=.1] (a2a) -- (x1) -- (x2) -- cycle; \draw[draw=none,fill=blue!60, opacity=.1] (c2a) -- (b2a) -- (a1a) -- cycle; \draw[draw=none,fill=blue!60, opacity=.1] (c2a) -- (b2a) -- (x1) --(x2)-- cycle; \draw[draw=none,fill=blue!60,opacity=.1] (x1) -- (a1a) -- (b2a) -- cycle; \draw[draw=none,fill=blue!45!black,opacity=.1] (x2) -- (a1a) -- (c2a) -- cycle; \draw[draw=none,fill=blue!60,opacity=.1] (x1) -- (a1a) -- (x2) -- cycle; \draw[fill=green!60,opacity=.5] (x1) -- (x2) -- (a2a) -- cycle; \draw[fill=green!60,opacity=.5] (x1) -- (a1a) -- (x2) -- cycle; \draw[fill=green!60,opacity=.5] (x1) -- (a2a) -- (a1a) -- cycle; \draw[fill=green!60!black,opacity=.5] (x2) -- (a2a) -- (a1a) -- cycle; \end{scope} \end{tikzpicture}

plot

math

\begin{tikzpicture}[thick,scale=1.25] \draw [->,color=orange,very thick](0,1)--(1,1); \draw(-0.2,1.25)node {{Electrical}}; \draw(-0.2,0.75)node {{Input}}; \draw [very thick,color=red](1,0) rectangle (3,2); \draw(2,1.5)node {{Electrical }}; \draw(2,1)node {{Drive }}; \draw(2,0.5)node {{Subsystem}}; \draw (3.75,1.25) node {{Torque}}; \draw [->,color=violet, very thick](3,1)--(4.5,1); \draw [very thick,color=blue](4.5,0) rectangle (6.5,2); \draw(5.5,1.25)node {{Dynamic }}; \draw(5.5,0.75)node {{Subsystem }}; \draw (7.25,1.25) node {{Velocity}}; \draw [->,color=orange,very thick](6.5,1)--(8,1); \draw [very thick,color=green](8,0) rectangle (10,2); \draw(9,1.25)node {{Kinematic }}; \draw(9,0.75)node {{Subsystem }}; \draw [->,color=yellow, very thick](10,1)--(11,1); \draw (11.3,1.25) node {{Position}}; \draw[dashed](0.5,2.5) -- (10.5,2.5); \draw[dashed](10.5,2.5) -- (10.5,-0.5); \draw[dashed](0.5,-0.5) -- (10.5,-0.5); \draw[dashed](0.5,-0.5) -- (0.5,2.5); \end{tikzpicture}

plot

eess

\begin{tikzpicture}[x=0.75pt,y=0.75pt,yscale=-1,xscale=1] \draw [fill={rgb, 255:red, 238; green, 228; blue, 137 } ,fill opacity=1 ] (28.14,40) -- (43.83,40) -- (43.83,87.35) -- (28.14,87.35) -- cycle ; \draw [fill={rgb, 255:red, 241; green, 191; blue, 115 } ,fill opacity=1 ] (67.38,52.63) .. controls (67.38,45.65) and (73.03,40) .. (80,40) -- (141.07,40) .. controls (148.04,40) and (153.7,45.65) .. (153.7,52.63) -- (153.7,90.51) .. controls (153.7,97.48) and (148.04,103.13) .. (141.07,103.13) -- (80,103.13) .. controls (73.03,103.13) and (67.38,97.48) .. (67.38,90.51) -- cycle ; \draw (43.83,63.67) -- (65.38,63.67) ; \draw [shift={(67.38,63.67)}, rotate = 180] [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 (47.76,99.19) -- (65.97,80.88) ; \draw [shift={(67.38,79.46)}, rotate = 134.84] [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 (208.63,71.57) node {\includegraphics[width=47.08pt,height=47.35pt]{2787_sec_Images_Flower.jpg}}; \draw (153.7,64.07) -- (175.63,64.07) ; \draw [shift={(177.63,64.07)}, rotate = 180] [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 (177.24,79.46) -- (156.09,80.18) ; \draw [shift={(154.09,80.25)}, rotate = 358.05] [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 (338.11,71.57) node {\includegraphics[width=47.08pt,height=47.35pt]{2787_sec_Images_Flower.jpg}}; \draw [dash pattern={on 7.5pt off 2.25pt}] (306.72,71.57) -- (242.02,71.57) ; \draw [shift={(240.02,71.57)}, rotate = 360] [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 [dash pattern={on 7.5pt off 3.75pt}] (339,40) -- (339,16) -- (37,15) -- (37,37) ; \draw [shift={(37,39)}, rotate = 270] [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 (27,93) node [anchor=north west][inner sep=0.75pt] [align=left] {$c_x$}; \draw (247,60) node [anchor=north west][inner sep=0.75pt] [align=left] {\begin{minipage}[lt]{38.76pt}\setlength\topsep{0pt} \begin{center} {\tiny Reconstruction }\\{\tiny Loss} \end{center} \end{minipage}}; \draw (72.32,49) node [anchor=north west][inner sep=0.75pt] [align=left] {\begin{minipage}[lt]{54.4pt}\setlength\topsep{0pt} \begin{center} {\scriptsize Pre-trained }\\{\scriptsize Stable Diffusion}\\{\scriptsize Model} \end{center} \end{minipage}}; \draw (32,75) node [anchor=north west][inner sep=0.75pt] [rotate=-270] [align=left] {{\tiny Noise}}; \end{tikzpicture}

plot

cs

assets/cs/2787_sec_Images_Flower.jpg

assets/cs/2787_sec_Images_Flower.jpg

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plot

physics

\begin{tikzpicture}[scale = 0.42, squarednode/.style={rectangle, draw=red!60, fill=red!5, very thick}, every text node part/.style={align=center} ] \node[squarednode] at (1, 4) (target) {\small Target parameter \\ \small $ITT$ of AC}; \node at (-1.1, 2) (Assumption 3) {\small Ass. \ref{ass: no interaction} on\\ \small AC trial}; \node[squarednode] at (1, 0) (decomp) {\small Decomposition \eqref{eqn: decomposition}}; \node[squarednode] at (18, 2) (SA 1) {\small SA assessing \\ \small Assumption \ref{ass: no interaction}}; \node[squarednode] at (-6, -3) (CATE) {\small $CATE(\mathbf{X}; S = t)$}; \node[squarednode] at (8, -3) (CC) {\small Conditional \\ \small compliance}; \node[squarednode] at (-6, -8) (CATE_h) {\small $CATE(\mathbf{X}; S = h)$}; \node at (-7.5, -5.5) (Assumption 4) {\small Ass. \ref{ass: mean generalizability}}; \node[squarednode] at (18, -5.5) (SA 2) {\small SA assessing \\ \small Assumption \ref{ass: mean generalizability}}; \node[squarednode] at (-8, -12) (CATE point) {\small Point \\ \small identified}; \node at (-9.5, -9.8) {\small Ass. \ref{ass: no interaction} on \\ \small hist. trial}; \node[squarednode] at (-4, -12) (CATE partial) {\small Partially \\ \small identified}; \node[squarednode] at (8, -10) (CC term1) {\scriptsize $CC_{AC}(\mathbf{X};$ \\\scriptsize $S = t)$}; \node[squarednode] at (12, -10) (CC term2) {\scriptsize $CC_{P}(\mathbf{X};$ \\\scriptsize $S = t)$}; \node[squarednode] at (8, -16) (CC term1 strategy) {\small AC trial \\\small data \\\small identified}; \node[squarednode] at (12, -16) (CC term2 strategy) {\small Historical \\ \small data \\\small identified}; \node[squarednode] at (17, -16) (CC term2 sens) {\small Sensitivity \\ \small parameter}; \node[squarednode] at (2, -13) (CC strategy) {\small Historical \\ \small data \\\small identified}; \node at (3.5, -8) (Assumption 4) {\small Ass. \ref{ass: mean compliance generalizability}}; \node[squarednode] at (18, -8) (SA 3) {\small SA assessing \\ \small Assumption \ref{ass: mean compliance generalizability}}; \node at (10.5, -12) (Assumption 5) {\small Ass. \ref{ass: one-arm compliance generalizability}}; \node[squarednode] at (18, -12) (SA 4) {\small SA assessing \\ \small Assumption \ref{ass: one-arm compliance generalizability}}; \draw[thick, ->] (target) -- (decomp); \draw[thick, dashed, ->] (1, 2) -- (SA 1); \draw[thick, ->] (decomp) -- (CATE); \draw[thick, ->] (decomp) -- (CC); \draw[thick, ->] (CATE) -- (CATE_h); \draw[thick, dashed, ->] (-6, -5.5) -- (SA 2); \draw[thick, ->] (CATE_h) -- (CATE point); \draw[thick, ->] (CATE_h) -- (CATE partial); \draw[thick, ->] (CC) -- (CC term1); \draw[thick, ->] (CC) -- (CC term2); \draw[thick, ->] (CC) -- (CC strategy); \draw[thick, ->] (CC term1) -- (CC term1 strategy); \draw[thick, ->] (CC term2) -- (CC term2 strategy); \draw[thick, ->] (CC term2) -- (CC term2 sens); \draw[thick, dashed, ->] (5, -8) -- (SA 3); \draw[thick, dashed, ->] (12, -12) -- (SA 4); \end{tikzpicture}

plot

stat

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plot

physics

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plot

cs

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plot

physics

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plot

cs

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plot

stat

\begin{tikzpicture}[scale=1.2] \begin{scope} \clip (-3.5,0) rectangle (3.5,3.5); \draw (0,0) circle(1); \draw (0,0) circle(1.5); \draw (0,0) circle(2); \draw (0,0) circle(2.5); \draw (0,0) circle(3); \draw (0,0) circle(3.5); \end{scope} \draw (0,0) -- ( {3.5*sin(60)} , {3.5*cos(60)} ) node [pos=1.05, above] {60°}; \draw (0,0) -- ( {3.5*sin(30)} , {3.5*cos(30)} ) node [pos=1.03, above] {30°}; \draw (0,0) -- ( {3.5*sin(45)} , {3.5*cos(45)} ) node [pos=1.02, above] {45°}; \draw (0,0) -- ( {3.5*sin(-45)} , {3.5*cos(-45)} ) node [pos=1.02, above] {-45°}; \draw (0,0) -- ( {3.5*sin(-30)} , {3.5*cos(-30)} ) node [pos=1.03, above] {-30°}; \draw (0,0) -- ( {3.5*sin(-60)} , {3.5*cos(-60)} ) node [pos=1.05, above] {-60°}; \draw (0,0) -- ( {3.5*sin(0)} , {3.5*cos(0)} ) node [pos=1, above] {0°}; \draw (-3.5,0) -- (3.5,0) node [pos=0.65, below] {1\,m} node [pos=0.79, below] {2\,m} node [pos=0.93, below] {3\,m}; \foreach \o in {-0.3,-0.1,0.1,0.3} { \draw[-, thick] (\o-0.06,-0.2) -- (\o+0.06,-0.2); \draw[-, thick] (\o-0.06,-0.2) -- (\o,-0.35); \draw[-, thick] (\o+0.06,-0.2) -- (\o,-0.35); \draw[-, thick] (\o,-0.2) -- (\o,-0.45); } \draw[-, thick] (-0.3,-0.45) -- node[below] {rx} (0.3,-0.45); \node[circle, draw, inner sep=0pt, minimum size = 20.4, fill, text=white] (d) at ({1.5*sin(-60)}, {1.5*cos(-60)}) {\textbf{1}}; \node[circle, draw, inner sep=0pt, minimum size = 20.4, fill, text=white] (d) at ({2*sin(0)}, {2*cos(0)}) {\textbf{2}}; \node[circle, draw, inner sep=0pt, minimum size = 20.4, fill, text=white] (d) at ({2*sin(-30)}, {2*cos(-30)}) {\textbf{3}}; \node[circle, draw, inner sep=0pt, minimum size = 20.4, fill, text=white] (d) at ({2*sin(45)}, {2*cos(45)}) {\textbf{4}}; \node[circle, draw, inner sep=0pt, minimum size = 20.4, fill, text=white] (d) at ({3*sin(30)}, {3*cos(30)}) {\textbf{5}}; \end{tikzpicture}

plot

eess

\begin{tikzpicture}[x=0.75pt,y=0.75pt,yscale=-1,xscale=1] \draw (32,56) -- (634,55) ; \draw [fill={rgb, 255:red, 0; green, 0; blue, 0 } ,fill opacity=1 ] (322,56.5) .. controls (322,53.46) and (324.69,51) .. (328,51) .. controls (331.31,51) and (334,53.46) .. (334,56.5) .. controls (334,59.54) and (331.31,62) .. (328,62) .. controls (324.69,62) and (322,59.54) .. (322,56.5) -- cycle ; \draw (277,76) -- (325,76) ; \draw [shift={(328,76)}, rotate = 180] [fill={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.08] [draw opacity=0] (8.93,-4.29) -- (0,0) -- (8.93,4.29) -- cycle ; \draw [shift={(274,76)}, rotate = 0] [fill={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.08] [draw opacity=0] (10.72,-5.15) -- (0,0) -- (10.72,5.15) -- (7.12,0) -- cycle ; \draw (234,116.98) -- (325,116.52) ; \draw [shift={(328,116.5)}, rotate = 179.7] [fill={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.08] [draw opacity=0] (8.93,-4.29) -- (0,0) -- (8.93,4.29) -- cycle ; \draw [shift={(231,117)}, rotate = 359.7] [fill={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.08] [draw opacity=0] (10.72,-5.15) -- (0,0) -- (10.72,5.15) -- (7.12,0) -- cycle ; \draw (186.5,189.5) -- (321,189.5) ; \draw [shift={(324,189.5)}, rotate = 180] [fill={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.08] [draw opacity=0] (8.93,-4.29) -- (0,0) -- (8.93,4.29) -- cycle ; \draw [shift={(183.5,189.5)}, rotate = 0] [fill={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.08] [draw opacity=0] (10.72,-5.15) -- (0,0) -- (10.72,5.15) -- (7.12,0) -- cycle ; \draw (331.5,76.46) -- (397,75.54) ; \draw [shift={(400,75.5)}, rotate = 179.2] [fill={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.08] [draw opacity=0] (8.93,-4.29) -- (0,0) -- (8.93,4.29) -- cycle ; \draw [shift={(328.5,76.5)}, rotate = 359.2] [fill={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.08] [draw opacity=0] (10.72,-5.15) -- (0,0) -- (10.72,5.15) -- (7.12,0) -- cycle ; \draw (331.5,117) -- (412,117) ; \draw [shift={(415,117)}, rotate = 180] [fill={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.08] [draw opacity=0] (8.93,-4.29) -- (0,0) -- (8.93,4.29) -- cycle ; \draw [shift={(328.5,117)}, rotate = 0] [fill={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.08] [draw opacity=0] (10.72,-5.15) -- (0,0) -- (10.72,5.15) -- (7.12,0) -- cycle ; \draw (333.5,165) -- (481,165) ; \draw [shift={(484,165)}, rotate = 180] [fill={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.08] [draw opacity=0] (8.93,-4.29) -- (0,0) -- (8.93,4.29) -- cycle ; \draw [shift={(330.5,165)}, rotate = 0] [fill={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.08] [draw opacity=0] (10.72,-5.15) -- (0,0) -- (10.72,5.15) -- (7.12,0) -- cycle ; \draw (245,63) node [anchor=north west][inner sep=0.75pt] [align=left] {$\displaystyle S_{1}$}; \draw (205.5,105) node [anchor=north west][inner sep=0.75pt] [align=left] {$\displaystyle S_{2}$}; \draw (169.45,187.19) node [align=left] {$\displaystyle S_{i}$}; \draw (420.45,75.19) node [align=left] {$\displaystyle S_{i+1}$}; \draw (440.45,115.19) node [align=left] {$\displaystyle S_{i+2}$}; \draw (500.45,164.69) node [align=left] {$\displaystyle S_{p}$}; \draw (327.95,28.19) node [align=left] {$\displaystyle O$}; \end{tikzpicture}

plot

cs

\raisebox{-0.9em}{ \begin{tikzpicture}[transform shape,line width=1pt] \node (A) at (0,0) {A}; \node (B) at (1.5,0) {B}; \path[draw] (A) edge[bend right=-40,black,dashed,->] (B) (B) edge[bend right=-40,black,-latex,dashed,->] (A); \end{tikzpicture}}

plot

physics

\begin{tikzpicture} \draw[ultra thick] (0,0)--(2,0); \draw[ultra thick] (0,0)--(-2,0); \draw[ultra thick] (2,0)--(4,0); \draw[fill=yellow,thick] (0,0) circle (0.7); \draw[fill=yellow,thick] (2,0) circle (0.7); \draw[fill=yellow,thick] (-2,0) circle (0.7); \draw[fill=yellow,thick] (3.5,0.5) rectangle (4.5,-0.5); \node at (-2,0) {$D_{k_3}$}; \node at (0,0) {$C_{k_2}$}; \node at (2,0) {$B_{k_1}$}; \node at (4,0) {$L$}; \end{tikzpicture}

plot

physics

\begin{tikzpicture}[x=0.75pt,y=0.75pt,yscale=-1,xscale=1] \draw [color={rgb, 255:red, 4; green, 250; blue, 61 } ,draw opacity=1 ][fill={rgb, 255:red, 226; green, 250; blue, 224 } ,fill opacity=1 ][line width=1.5] (85,74.5) .. controls (85,66.49) and (91.49,60) .. (99.5,60) .. controls (107.51,60) and (114,66.49) .. (114,74.5) .. controls (114,82.51) and (107.51,89) .. (99.5,89) .. controls (91.49,89) and (85,82.51) .. (85,74.5) -- cycle ; \draw [color={rgb, 255:red, 4; green, 250; blue, 61 } ,draw opacity=1 ][fill={rgb, 255:red, 226; green, 250; blue, 224 } ,fill opacity=1 ][line width=1.5] (214,204) .. controls (214,195.72) and (220.72,189) .. (229,189) .. controls (237.28,189) and (244,195.72) .. (244,204) .. controls (244,212.28) and (237.28,219) .. (229,219) .. controls (220.72,219) and (214,212.28) .. (214,204) -- cycle ; \draw [color={rgb, 255:red, 4; green, 250; blue, 61 } ,draw opacity=1 ][fill={rgb, 255:red, 226; green, 250; blue, 224 } ,fill opacity=1 ][line width=1.5] (214,74) .. controls (214,65.72) and (220.72,59) .. (229,59) .. controls (237.28,59) and (244,65.72) .. (244,74) .. controls (244,82.28) and (237.28,89) .. (229,89) .. controls (220.72,89) and (214,82.28) .. (214,74) -- cycle ; \draw [color={rgb, 255:red, 4; green, 250; blue, 61 } ,draw opacity=1 ][fill={rgb, 255:red, 226; green, 250; blue, 224 } ,fill opacity=1 ][line width=1.5] (84,205) .. controls (84,196.72) and (90.72,190) .. (99,190) .. controls (107.28,190) and (114,196.72) .. (114,205) .. controls (114,213.28) and (107.28,220) .. (99,220) .. controls (90.72,220) and (84,213.28) .. (84,205) -- cycle ; \draw [line width=0.75] (114,74.5) -- (214,74) ; \draw [line width=0.75] (114,205) -- (214,204.5) ; \draw [line width=0.75] (99.5,89) -- (99,190) ; \draw [line width=0.75] (229,89) -- (228.5,190) ; \draw [line width=0.75] (110,85) -- (216,195) ; \draw [line width=0.75] (111,194) -- (219,84) ; \draw [color={rgb, 255:red, 4; green, 250; blue, 61 } ,draw opacity=1 ][fill={rgb, 255:red, 226; green, 250; blue, 224 } ,fill opacity=1 ][line width=1.5] (542,74) .. controls (542,65.72) and (548.72,59) .. (557,59) .. controls (565.28,59) and (572,65.72) .. (572,74) .. controls (572,82.28) and (565.28,89) .. (557,89) .. controls (548.72,89) and (542,82.28) .. (542,74) -- cycle ; \draw [color={rgb, 255:red, 4; green, 250; blue, 61 } ,draw opacity=1 ][fill={rgb, 255:red, 226; green, 250; blue, 224 } ,fill opacity=1 ][line width=1.5] (412,205) .. controls (412,196.72) and (418.72,190) .. (427,190) .. controls (435.28,190) and (442,196.72) .. (442,205) .. controls (442,213.28) and (435.28,220) .. (427,220) .. controls (418.72,220) and (412,213.28) .. (412,205) -- cycle ; \draw [line width=0.75] (444,74.49) -- (542,74) ; \draw [shift={(442,74.5)}, rotate = 359.71] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (6.56,-2.94) .. controls (4.17,-1.38) and (1.99,-0.4) .. (0,0) .. controls (1.99,0.4) and (4.17,1.38) .. (6.56,2.94) ; \draw [line width=0.75] (442,205) -- (540,204.51) ; \draw [shift={(542,204.5)}, rotate = 179.71] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (6.56,-2.94) .. controls (4.17,-1.38) and (1.99,-0.4) .. (0,0) .. controls (1.99,0.4) and (4.17,1.38) .. (6.56,2.94) ; \draw [line width=0.75] [dash pattern={on 4.5pt off 4.5pt}] (441,90) -- (541.5,189.06) ; \draw (85,74.5) .. controls (58,63) and (91,35) .. (99.5,60) ; \draw (411,75) .. controls (378.5,61.21) and (407.11,27.05) .. (425.18,58.52) ; \draw [shift={(426,60)}, rotate = 242.1] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (6.56,-2.94) .. controls (4.17,-1.38) and (1.99,-0.4) .. (0,0) .. controls (1.99,0.4) and (4.17,1.38) .. (6.56,2.94) ; \draw (229,59) .. controls (236,33) and (272,61) .. (244,74) ; \draw (99,220) .. controls (80,245) and (62,209) .. (84,205) ; \draw (244,204) .. controls (269,214) and (239,244) .. (229,219) ; \draw (557,219) .. controls (568.82,249.54) and (603.93,221.86) .. (573.44,204.77) ; \draw [shift={(572,204)}, rotate = 27.26] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (6.56,-2.94) .. controls (4.17,-1.38) and (1.99,-0.4) .. (0,0) .. controls (1.99,0.4) and (4.17,1.38) .. (6.56,2.94) ; \draw [color={rgb, 255:red, 208; green, 2; blue, 27 } ,draw opacity=1 ][fill={rgb, 255:red, 250; green, 226; blue, 226 } ,fill opacity=1 ][line width=1.5] (411.5,60.06) -- (441,60.06) -- (441,90) -- (411.5,90) -- cycle ; \draw [color={rgb, 255:red, 208; green, 2; blue, 27 } ,draw opacity=1 ][fill={rgb, 255:red, 250; green, 226; blue, 226 } ,fill opacity=1 ][line width=1.5] (541.5,189.06) -- (571,189.06) -- (571,219) -- (541.5,219) -- cycle ; \draw (94,68) node [anchor=north west][inner sep=0.75pt] [align=left] {{\fontfamily{helvet}\selectfont 1}}; \draw (93,200) node [anchor=north west][inner sep=0.75pt] [align=left] {{\fontfamily{helvet}\selectfont 4}}; \draw (224,69) node [anchor=north west][inner sep=0.75pt] [align=left] {{\fontfamily{helvet}\selectfont 2}}; \draw (224,199) node [anchor=north west][inner sep=0.75pt] [align=left] {{\fontfamily{helvet}\selectfont 3}}; \draw (159,55) node [anchor=north west][inner sep=0.75pt] [align=left] {{\fontfamily{helvet}\selectfont 2}}; \draw (137,95) node [anchor=north west][inner sep=0.75pt] [align=left] {{\fontfamily{helvet}\selectfont 1}}; \draw (190,117) node [anchor=north west][inner sep=0.75pt] [align=left] {{\fontfamily{helvet}\selectfont 5}}; \draw (85,131) node [anchor=north west][inner sep=0.75pt] [align=left] {{\fontfamily{helvet}\selectfont 3}}; \draw (159,206.75) node [anchor=north west][inner sep=0.75pt] [align=left] {{\fontfamily{helvet}\selectfont 2}}; \draw (232,129) node [anchor=north west][inner sep=0.75pt] [align=left] {{\fontfamily{helvet}\selectfont 4}}; \draw (421,71) node [anchor=north west][inner sep=0.75pt] [align=left] {{\fontfamily{helvet}\selectfont 1}}; \draw (421,199) node [anchor=north west][inner sep=0.75pt] [align=left] {{\fontfamily{helvet}\selectfont 4}}; \draw (552,68) node [anchor=north west][inner sep=0.75pt] [align=left] {{\fontfamily{helvet}\selectfont 2}}; \draw (551,200.09) node [anchor=north west][inner sep=0.75pt] [align=left] {{\fontfamily{helvet}\selectfont 3}}; \draw (486,55) node [anchor=north west][inner sep=0.75pt] [align=left] {{\fontfamily{helvet}\selectfont 2}}; \draw (494,121) node [anchor=north west][inner sep=0.75pt] [align=left] {{\fontfamily{helvet}\selectfont 1}}; \draw (486,206.75) node [anchor=north west][inner sep=0.75pt] [align=left] {{\fontfamily{helvet}\selectfont 2}}; \draw (60,52) node [anchor=north west][inner sep=0.75pt] [align=left] {{\fontfamily{helvet}\selectfont 0}}; \draw (60,207) node [anchor=north west][inner sep=0.75pt] [align=left] {{\fontfamily{helvet}\selectfont 0}}; \draw (258,53) node [anchor=north west][inner sep=0.75pt] [align=left] {{\fontfamily{helvet}\selectfont 0}}; \draw (257,209) node [anchor=north west][inner sep=0.75pt] [align=left] {{\fontfamily{helvet}\selectfont 0}}; \draw (382,53) node [anchor=north west][inner sep=0.75pt] [align=left] {{\fontfamily{helvet}\selectfont 0}}; \draw (590,210) node [anchor=north west][inner sep=0.75pt] [align=left] {{\fontfamily{helvet}\selectfont 0}}; \end{tikzpicture}

plot

math

\begin{tikzpicture}[scale=0.65, point/.style ={circle,draw=none,fill=#1, inner sep=0pt, minimum width=0.2cm,node contents={}} ] \node (w3) at (11,{2-sqrt(3)}) [point=black, label=below:$w_3$]; \node (u3) at (10,2) [point=black, label=above:$u_3$]; \node (x3) at (9,{2-sqrt(3)}) [point=black, label=below:$y_3$]; \node (y3) at (8,2) [point=black, label=above:$x_3$]; \node (v2) at (7,{2-sqrt(3)}) [point=red, label=below:$v_2$]; \node (w2) at (6,2) [point=black, label=above:$w_2$]; \node (u2) at (5,{2-sqrt(3)}) [point=black, label=below:$u_2$]; \node (x2) at (4,2) [point=black, label=above:$y_2$]; \node (y2) at (3,{2-sqrt(3)}) [point=black, label=below:$x_2$]; \node (v1) at (2,2) [point=red, label=above:$v_1$]; \node (w1) at (1,{2-sqrt(3)}) [point=black, label=below:$w_1$]; \node (u1) at (0,2) [point=black, label=above:$u_1$]; \node (x1) at (-1,{2-sqrt(3)}) [point=black, label=below:$y_1$]; \node (y1) at (-2,2) [point=black, label=above:$x_1$]; \draw[blue,dashed,line width=1pt] (w3)--(u3)--(x3)--(y3)--(u3) (x3)--(w3) (y3)--(w2)--(u2)--(x2)--(y2)--(u2) (x2)--(w2) (y2)--(w1)--(u1)--(x1)--(y1)--(u1) (x1)--(w1); \draw[black,line width=1pt] (x3)--(v2)--(y3) (w2)--(v2)--(u2) (x2)--(v1)--(y2) (w1)--(v1)--(u1); \end{tikzpicture}

plot

math

\begin{tikzpicture}[scale=1.8] \pgfdeclarelayer{foreground} \pgfsetlayers{main,foreground} \coordinate (A) at (0, 0, 1.17557); \coordinate (B) at (1.05146, 0, 0.525731); \coordinate (C) at (0.32492, 1, 0.525731); \coordinate (D) at (-0.850651, 0.618034, 0.525731); \coordinate (E) at (-0.850651, -0.618034, 0.525731); \coordinate (F) at (0.32492, -1, 0.525731); \coordinate (G) at (0.850651, 0.618034, -0.525731); \coordinate (H) at (0.850651, -0.618034, -0.525731); \coordinate (I) at (-0.32492, 1, -0.525731); \coordinate (J) at (-1.05146, 0, -0.525731); \coordinate (K) at (-0.32492, -1, -0.525731); \coordinate (L) at (0, 0, -1.17557); \begin{pgfonlayer}{main} \draw[gray] (G) -- (B) -- (C) -- cycle; \draw[gray] (C) -- (G) -- (I) -- cycle; \draw[gray] (I) -- (D) -- (J) -- cycle; \draw[gray] (K) -- (E) -- (J) -- cycle; \draw[gray] (H) -- (F) -- (K) -- cycle; \draw[gray] (B) -- (H) -- (F) -- cycle; \end{pgfonlayer} \begin{pgfonlayer}{foreground} \draw (A) -- (B) -- (C) -- cycle; \draw (A) -- (C) -- (D) -- cycle; \draw (A) -- (D) -- (E) -- cycle; \draw (A) -- (E) -- (F) -- cycle; \draw (A) -- (F) -- (B) -- cycle; \draw (L) -- (G) -- (H) -- cycle; \draw (L) -- (H) -- (K) -- cycle; \draw (L) -- (K) -- (J) -- cycle; \draw (L) -- (J) -- (I) -- cycle; \draw (L) -- (I) -- (G) -- cycle; \draw (G) -- (H) -- cycle; \draw (H) -- (K) -- cycle; \draw (K) -- (J) -- cycle; \draw (J) -- (I) -- cycle; \draw (I) -- (G) -- cycle; \end{pgfonlayer} \end{tikzpicture}

plot

stat

\begin{tikzpicture}[scale=0.6,transform shape, thick] \node[circle,draw, fill=black ] (a) at(0,0){}; \node[circle,draw,fill=black] (b) at(2,0){}; \node[circle,draw, fill=black] (c) at(1,1){}; \node[circle,draw, fill=black] (d) at(1,3){}; \node[] (dd) at(1,3.5){\(C_{j}\)}; \node[circle,draw, fill=red] (g) at(2,2){}; \node[] (gg) at(2,2.5){\(C_{i}\)}; \node[circle,draw, fill=black] (e) at(0,4){}; \node[circle,draw,fill=black] (f) at(2,4){}; \draw[black] (a) --(c) -- (b); \draw (c) --(d); \draw[black] (d) --(e); \draw[black] (d) -- (f); \draw[dotted, red] (d) -- (g); \draw[] (8, 1) -- (8,1); \end{tikzpicture}

plot

stat

\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

physics

\begin{tikzpicture} \begin{axis} [xbar, grid=major, bar width =25, symbolic y coords={device\_off,weather,wind\_speed,BPM,location}, ytick=data, nodes near coords] \addplot [draw=black,fill=gray] coordinates { (0.2,device\_off) (0.15,weather) (0.14,wind\_speed) (0.12,BPM) (0.1,location) }; \end{axis} \end{tikzpicture}

plot

eess

\begin{tikzpicture} \draw[blue] (0,0) -- (1,0); \draw[blue] (1,0) -- (0,1); \draw[blue] (0,0) -- (0,1); \filldraw[red] (0,0) circle (2pt) node[anchor=north] {\tiny (0,0)}; \filldraw[red] (1,0) circle (2pt) node[anchor=north] {\tiny (1,0)}; \filldraw[red] (0,1) circle (2pt) node[anchor=south] {\tiny (0,1)}; \end{tikzpicture}

plot

math