sample_id int64 0 344 | similarity_score float32 0.95 1 | tikz_code_i stringlengths 250 3.43k | image_i imagewidth (px) 448 448 | tikz_code_j stringlengths 242 3.82k | image_j imagewidth (px) 448 448 | edit_instruction_forward stringlengths 71 2.43k | edit_instruction_backward stringlengths 76 3.09k |
|---|---|---|---|---|---|---|---|
0 | 0.958143 | \documentclass[tikz]{standalone}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{tikz}
\usepackage{amsmath}
\usepackage{amssymb}
\usetikzlibrary{shapes,arrows,patterns}
\usetikzlibrary{positioning}
\usetikzlibrary{calc}
\usetikzlibrary{arrows.meta}
\begin{document}
\begin{tikzpicture}[scale=0.6, eve... | \documentclass[tikz]{standalone}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{tikz}
\usepackage{amsmath}
\usepackage{amssymb}
\usetikzlibrary{shapes,arrows,patterns}
\usetikzlibrary{positioning}
\usetikzlibrary{calc}
\usetikzlibrary{arrows.meta}
\begin{document}
\begin{tikzpicture}[scale=0.6, eve... | The text annotation 'target prediction $\langle s,r,o\rangle$' and the arrow pointing from it to the dashed blue edge are removed. A new circular node labeled 'A.S.D. Astrea' is added at the bottom-right position of the diagram. The dashed blue arrow labeled 'hasChild' is redirected from pointing to 'Violante Bavaria' ... | The node labeled 'A.S.D. Astrea' and the blue dashed arrow connecting 'Princess Henriette' to it are removed from the diagram. The arrow connecting 'Ferdinand Maria' to 'Violante Bavaria' is changed from a solid red line to a solid black line. The text annotation '$\langle s',r',o\rangle$ removed' located below the arr... | ||
1 | 0.953768 | \documentclass[tikz]{standalone}
\usepackage{amssymb}
\usepackage[cmex 10]{amsmath}
\usepackage{tikz}
\usetikzlibrary{shapes,arrows}
\usetikzlibrary{arrows,calc}
\usetikzlibrary{arrows.meta,positioning}
\tikzset{
input/.style = {coordinate},
output/.style = {coordinate},
sum/.style = {circle, draw, minimum... | \documentclass[tikz]{standalone}
\usepackage{amssymb}
\usepackage[cmex 10]{amsmath}
\usepackage{tikz}
\usetikzlibrary{shapes,arrows}
\usetikzlibrary{arrows,calc}
\usetikzlibrary{arrows.meta,positioning}
\tikzset{
input/.style = {coordinate},
output/.style = {coordinate},
sum/.style = {circle, draw, minimum... | The text label inside the top rectangular block is changed from 'Dynamics' to '$\Sigma_1$'. The text label inside the bottom rectangular block is changed from 'Game' to '$\Sigma_2$'. There is an rightwards input arrow labeled '$r$' pointing towards the summing junction. The label on the arrow between the summing juncti... | Remove the input signal label '$r$' from the arrow entering the summing junction from the left. Change the text inside the top block from '$\Sigma_1$' to 'Dynamics'. Change the text inside the bottom block from '$\Sigma_2$' to 'Game'. Change the label on the forward path arrow (between the sum and the top block) from '... | ||
2 | 0.958831 | \documentclass[tikz]{standalone}
\usepackage{pgfplots}
\usepgfplotslibrary{patchplots}
\usetikzlibrary{arrows.meta}
\begin{document}
\begin{tikzpicture}
\begin{axis}[
title={Grids with shader=faceted interp}]
\addplot3[patch,patch type=biquadratic,
shader=faceted interp,patch refines=3]
... | \documentclass[tikz]{standalone}
\usepackage{pgfplots}
\usepgfplotslibrary{patchplots}
\usetikzlibrary{arrows.meta}
\begin{document}
\begin{tikzpicture}
\begin{axis}
\addplot3[
patch,patch refines=3,
shader=faceted interp,
patch type=biquadratic]
table[z expr=x^2-y^2]
... | The title 'Grids with shader=faceted interp' at the top of the plot is removed. The surface geometry is changed from a custom set of coordinates to a mathematical function (hyperbolic paraboloid), resulting in a saddle shape with a peak in the top-left middle and a valley in the bottom middle. The axis ranges are modif... | A title 'Grids with shader=faceted interp' is added at the top center of the plot area. The plotted surface geometry is completely changed from a saddle shape (resembling x^2-y^2) to a different undulating surface with a sharp peak on the right side. The axis ranges are modified: the x-axis now spans from 0 to 6, the y... | ||
3 | 0.959377 | \documentclass[tikz]{standalone}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amsmath, amssymb, amsthm}
\usepackage[table]{xcolor}
\usepackage{tikz}
\usepackage{pgfplots}
\usetikzlibrary{arrows.meta,decorations.pathmorphing,decorations.markings,shapes}
\begin{document}
\begin{tikzpicture}[scale=... | \documentclass[tikz]{standalone}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amsmath, amssymb, amsthm}
\usepackage[table]{xcolor}
\usepackage{tikz}
\usepackage{pgfplots}
\usetikzlibrary{arrows.meta,decorations.markings,shapes}
\definecolor{plot1}{RGB}{0,0,255} % Example color definition
\definec... | The fill color of the rectangle in the bottom-left corner is changed from light blue to dark red. The width of the filled rectangle is increased by double its original size. The curly brace annotation labeled 'maxgap' at the top of the figure is removed. The vertical grid lines ($l_2$ to $p_2$ and $p_2$ to $u_2$) are m... | The fill color of the large rectangle on the left is changed from a dark red to a light blue. The width of the filled rectangle is reduced by half. The vertical grid lines from $l_2$ to $p_2$ and $p_2$ to $u_2$ are wider by double its original size. The horizongal grid line (specifically $p_1$ to $u_1$) is double as wi... | ||
4 | 0.950143 | \documentclass[tikz]{standalone}
\usepackage[utf8]{inputenc}
\usepackage{xcolor}
\usepackage{amsmath,amsfonts,amssymb,amsthm,epsfig,epstopdf,titling,url,array,mathtools,faktor,paralist, xfrac, mathrsfs, enumitem}
\usepackage{tikz}
\usepackage{tikz-cd}
\usetikzlibrary{arrows,positioning,scopes,trees}
\begin{document}
... | \documentclass[tikz]{standalone}
\usepackage[utf8]{inputenc}
\usepackage{xcolor}
\usepackage{amsmath,amsfonts,amssymb,amsthm,epsfig,epstopdf,titling,url,array,mathtools,faktor,paralist, xfrac, mathrsfs, enumitem}
\usepackage{tikz}
\usepackage{tikz-cd}
\usetikzlibrary{arrows,positioning,scopes,trees}
\begin{document}
... | Change the label on the far left from 'Q_n :' to 'M_\lambda :'. Replace all node labels (0, 1, 2, ..., n+1, n+2, n+3) with the symbol '\mathbb{K}'. Change the labels on the arrows originating from the left node (0) to all be '1'. Change the labels on the arrows pointing to the right node (n+3) to '1', '\lambda', '-1-(n... | The label on the far left changes from 'M_\lambda:' to 'Q_n:'. The node label at the far left (column 2) changes from '\mathbb{K}' to '0'. The node label at the top middle (row 1) changes from '\mathbb{K}' to '1'. The node label at the second row middle changes from '\mathbb{K}' to '2'. The node label at the fourth row... | ||
5 | 0.95208 | \documentclass[tikz]{standalone}
\usepackage[T1]{fontenc}
\usepackage[latin9]{inputenc}
\usepackage{color}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{matrix,arrows}
\usetikzlibrary{arrows.meta}
\begin{document}
\begin{tikzpicture}[descr/.style={fill=white,inner sep=1.5pt}]
\matrix (m) [
... | \documentclass[tikz]{standalone}
\usepackage[T1]{fontenc}
\usepackage[latin9]{inputenc}
\usepackage{color}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{matrix,arrows}
\usetikzlibrary{arrows.meta}
\usepackage{amsmath}
\newcommand{\Def}{\operatorname{Def}}
\newcommand{\Obs}{\operatorname{Obs}}
\begin{document... | Replace the text in the first row, second column from 'H^0(\Sigma,T_{\Sigma})' to '\Def(f)'. Replace the text in the first row, third column from 'H^0(\Sigma, f^{*}T_{X})' to 'H^{0}(\Delta,T_{(\Delta,f_{\Delta})}) \oplus \Def(f_{0})'. Replace the text in the first row, fourth column from 'H^0(\Sigma, N_{\Sigma/X})' to ... | Replace the text in the first row, second column from 'Def(f)' to 'H^0(\Sigma,T_{\Sigma})'. Replace the text in the first row, third column from 'H^{0}(\Delta,T_{(\Delta,f_{\Delta})}) \oplus Def(f_{0})' to 'H^0(\Sigma, f^{*}T_{X})'. Replace the text in the first row, fourth column from 'T_{p}X' to 'H^0(\Sigma, N_{\Sigm... | ||
6 | 0.951095 | \documentclass[tikz]{standalone}
\usepackage{amssymb}
\usepackage{color}
\usepackage{amsmath,amscd, amsthm}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usetikzlibrary{decorations.markings}
\usetikzlibrary{arrows.meta}
\begin{document}
\begin{tikzpicture}
\draw[thick,->] (-2,0) -- (6,0) node[anchor=north east] {$f_0... | \documentclass[tikz]{standalone}
\usepackage{amssymb}
\usepackage{color}
\usepackage{amsmath,amscd, amsthm}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usetikzlibrary{decorations.markings}
\usetikzlibrary{arrows.meta}
\begin{document}
\begin{tikzpicture}
\draw[thick,->] (-3,0) -- (5,0) node[anchor=north east] {$f_0... | The vertical axis is extended downwards to include the negative y-axis, changing the origin's position relative to the axis line. The plotted curve is changed from a parabolic arc starting in the second quadrant and ending at (2H,0) to a circular arc starting at (2H,0) and sweeping counter-clockwise into the fourth qua... | The main curve is changed from a circular arc (starting at (2H,0) and sweeping counter-clockwise into the lower-left quadrant) to a parabolic curve (starting from the second quadrant, sweeping down to the Right x-axis to (2H,0), and finishing by moving slightly diagonally to the top left). The vertical axis ($g_0(r)$) ... | ||
7 | 0.953926 | \documentclass[tikz]{standalone}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usepackage{pgfplots}
\usetikzlibrary{positioning}
\begin{document}
\begin{tikzpicture}
\begin{axis}[
xlabel={Distance (m)},
ylabel={Classification Acc... | \documentclass[tikz]{standalone}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usepackage{pgfplots}
\usetikzlibrary{positioning}
\begin{document}
\begin{tikzpicture}
\begin{axis}[
xlabel={Angle (degrees)},
ylabel={Misclassification Rate (\%)},
xmin=... | The x-axis label is changed from 'Distance (m)' to 'Angle (degrees)'. The y-axis label is changed from 'Classification Accuracy (%)' to 'Misclassification Rate (%)'. The x-axis range and tick labels are changed from a range of 0.5 to 5.5 with ticks at 0.5, 1.0, 1.5, 2.0, 3.0, 5.0 to a range of 0 to 360 with ticks at 0,... | The x-axis label is changed from 'Angle (degrees)' to 'Distance (m)'. The y-axis label is changed from 'Misclassification Rate (%)' to 'Classification Accuracy (%)'. The x-axis range and tick marks are changed from 0-360 (with 45-degree intervals) to 0.5-5.5 (with ticks at 0.5, 1.0, 1.5, 2.0, 3.0, 5.0). The y-axis rang... | ||
8 | 0.958315 | \documentclass[tikz]{standalone}
\usepackage[T1]{fontenc}
\usepackage{amsmath, amssymb,amsthm, amsfonts}
\usepackage{tikz}
\usetikzlibrary{automata,calc,shapes.geometric,positioning,trees,fit,chains,matrix,scopes,arrows, petri, backgrounds}
\tikzstyle{eplace} = []
\tikzstyle{splace} = []
\tikzstyle{red place} = []
\t... | \documentclass[tikz]{standalone}
\usepackage[T1]{fontenc}
\usepackage{amsmath, amssymb,amsthm, amsfonts}
\usepackage{tikz}
\usetikzlibrary{automata,calc,shapes.geometric,positioning,trees,fit,chains,matrix,scopes,arrows, petri, backgrounds}
\tikzstyle{eplace} = []
\tikzstyle{splace} = []
\tikzstyle{red place} = []
\ti... | The leftmost section of the diagram (originally containing nodes $C^1_1$, $S^{11}_1$) is expanded to include a new sequence of nodes: $C^1_1$, $p^1_1$, $P^1_1$, $r^1_1$, $S^{11}_1$. A new node $W^1_1$ is added below and to the left of $r^1_1$ connected by a leftwards curved arrow and another new node $S^{12}_1$ is adde... | Remove the blue transition node labeled $r^1_1$ and the nodes labeled $p^1_1$, $P^1_1$, $W^1_1$, and $S^12_1$ and all connecting arrows at the left side of the diagram. Move the node labeled $C^1_1$ to the position previously occupied by $r^1_1$, directly to the left of $S^{11}_1$. Remove the blue dashed rectangular bo... | ||
9 | 0.953327 | \documentclass[tikz]{standalone}
\usepackage{amsmath, amsthm, amssymb, amsfonts}
\usepackage{tikz-cd}
\usetikzlibrary{arrows.meta}
\begin{document}
\begin{tikzcd}
\tilde{\Gamma}\arrow[d]\arrow[r] & S^{[n,n+1]}\arrow[d, "q_n"]\\
\Gamma \arrow[d]\arrow[r] & S^{[n]}\times S \arrow[d]\\
S^{(\nu,j)}\arrow[r] & S^{(n)}\... | \documentclass[tikz]{standalone}
\usepackage{amsmath, amsthm, amssymb, amsfonts}
\usepackage{tikz-cd}
\usetikzlibrary{arrows.meta}
\begin{document}
\begin{tikzcd}
\Gamma\arrow[r]\arrow[d] & S^{[n]}\arrow[d]\\
S^{(1^{n-2}2^1)}\arrow[r, "\iota"] & S^{(n)}
\end{tikzcd}
\end{document} | Remove the top row of the diagram, which consists of the node $\tilde{\Gamma}$, the node $S^{[n,n+1]}$, and the arrows connecting them to the row below. Change the label of the bottom-left node from $S^{(\nu,j)}$ to $S^{(1^{n-2}2^1)}$. Change the label of the bottom-right node from $S^{(n)} \times S$ to $S^{(n)}$. Chan... | The label in the top-left corner is changed from '$\Gamma$' to '$\tilde{\Gamma}$'. The label in the top-right corner is changed from '$S^{[n]}$' to '$S^{[n,n+1]}$'. The label in the bottom-left corner is changed from '$S^{(1^{n-2}2^1)}$' to '$S^{(\nu,j)}$'. The label in the bottom-right corner is changed from '$S^{(n)}... | ||
10 | 0.959718 | \documentclass[tikz]{standalone}
\usepackage{amsmath}
\usepackage[T1]{fontenc}
\usepackage{tikz}
\usepackage{xcolor}
\usetikzlibrary{positioning, matrix, arrows}
\begin{document}
\begin{tikzpicture}
\matrix [matrix of math nodes,column sep=.5cm,row sep=.5cm] (m)
{
1 & 0 & 0 & 0 & 0 & 0 & {\underline{0}} & 0 & ... | \documentclass[tikz]{standalone}
\usepackage{amsmath}
\usepackage[T1]{fontenc}
\usepackage{tikz}
\usepackage{xcolor}
\usepackage{ifthen}
\usetikzlibrary{positioning, matrix, arrows}
\begin{document}
\begin{tikzpicture}[scale=0.75]
[
box/.style={rectangle,draw=black,thick, minimum size=1cm},
]
\def\on... | The last three columns of the matrix at the right side are removed. All underlines beneath specific matrix entries are removed. The rectangular boxes highlighting the first row and the second row are removed. Horizontal and vertical seperation lines are added for the first and second row. To the right of the vertical s... | The matrix size is expanded from 7x7 to 10x10 with the rest of the matrix filled with 0s. The rectangular boxes are repositioned and resized. The top-left box now encloses the first 6 elements of the first row. A new box is added to enclose the 1 at (2,2) and the subsequent 5 zeros in the second row. All other boxes ar... | ||
11 | 0.95336 | \documentclass[tikz]{standalone}
\usepackage[latin1]{inputenc}
\usepackage{graphicx,color,rotating}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{bayesnet}
\begin{document}
\begin{tikzpicture}[scale=0.8]
\node[draw, rectangle] (pfc) at (0,0) {PFC};
\node[draw, rectangle] (sma) at (2,2) {SMA};
\n... | \documentclass[tikz]{standalone}
\usepackage[latin1]{inputenc}
\usepackage{graphicx,color,rotating}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{bayesnet}
\begin{document}
\begin{tikzpicture}[scale=0.8]
\node[draw, thick, rectangle] (pfc) at (0,0) {PFC};
\node[draw, thick, rectangle] (sma) at (2,2)... | The borders of all five rectangular nodes (PFC, SMA, IFG, IPL, VEC) are changed from thin lines to thick lines. The thick red arrow connecting SMA to IPL is removed. The thick red arrow connecting PFC to IPL is removed. The thick orange dashed arrow connecting PFC to IFG is removed. The curved black arrow connecting SM... | The border style of all rectangular nodes (PFC, SMA, IFG, IPL, VEC) was changed from thick to standard (thin). The arrowheads on all connections were changed from the default style to the 'stealth' style (broader, triangular heads). The solid black arrow connecting PFC to IFG was removed. A new solid black arrow was ad... | ||
12 | 0.950823 | \documentclass[tikz]{standalone}
\usepackage{amsmath,amssymb,amsfonts}
\usepackage{color,fancybox,graphicx,subfigure,fullpage}
\usepackage{tikz}
\usetikzlibrary{calc}
\usepackage{amssymb}
\usepackage{amsmath}
\usetikzlibrary{arrows.meta}
\begin{document}
\begin{tikzpicture}
\coordinate (1) at (-1,2);
\coordinate (... | \documentclass[tikz]{standalone}
\usepackage{amsmath,amssymb,amsfonts}
\usepackage{color,fancybox,graphicx,subfigure,fullpage}
\usepackage{tikz}
\usetikzlibrary{calc}
\usepackage{amssymb}
\usepackage{amsmath}
\usetikzlibrary{arrows.meta}
\begin{document}
\begin{tikzpicture}
\draw[thin,white!100] (0,0) grid (3,3);
... | The panel label is changed from '(A)' to '(B)' and moved slightly to the left. The coordinate axes are changed from thin gray lines to thin black lines, and the arrowheads for the colored arrows are made less pronounced. The vector labeled $w_1$ (red, pointing to the first quadrant) is replaced by a new vector labeled ... | The panel label is changed from '(B)' to '(A)' and moved right to the middle. The coordinate axes (x and y) are changed from black lines to thin gray lines. The vector arrows are changed from thin lines to ultra thick lines with broader arrowheads. The vector labeled $v_1$ (blue, horizontal) is removed. The vector labe... | ||
13 | 0.954315 | \documentclass[tikz]{standalone}
\usepackage{tikz}
\usetikzlibrary{positioning}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{color}
\usepackage{color,soul}
\usepackage{amsmath}
\usepackage{color}
\begin{document}
\begin{tikzpicture}[node distance = 0.5cm, thick,
roundnode/.style={circle, draw=gre... | \documentclass[tikz]{standalone}
\usepackage{tikz}
\usetikzlibrary{positioning}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{color}
\usepackage{color,soul}
\usepackage{amsmath}
\usepackage{color}
\begin{document}
\begin{tikzpicture}[node distance = 0.5cm, thick,
roundnode/.style={circle, draw=gre... | Change the text in the top-right red box from 'kernel \ matrices' to 'NN'. Change the text in the central green circle from '$\Theta$, $\sigma_n$' to 'trained \ weights' and change its shape from a circle to a red square. Change the text in the left red box from 'Negative \ Log \ Likelihood' to 'mean \ squared \ error'... | Change the text in the top-right square node from 'NN' to 'kernel \ matrices'. Change the text in the middle square node from 'trained \ weights' to '$\Theta$, $\sigma_n$' and change its shape from a square to a circle. Change the text in the left square node from 'mean \ squared \ error' to 'Negative \ Log \ Likelihoo... | ||
14 | 0.952392 | \documentclass[tikz]{standalone}
\usepackage{tikz}
\usetikzlibrary{positioning,automata}
\usetikzlibrary{decorations.pathreplacing}
\usepackage{color, colortbl}
\usetikzlibrary{arrows.meta}
\begin{document}
\begin{tikzpicture}
\node[state] (s00) {$s_{00}$};
\node[state] (s0+) [below ... | \documentclass[tikz]{standalone}
\usepackage{tikz}
\usetikzlibrary{positioning,automata}
\usetikzlibrary{decorations.pathreplacing}
\usepackage{color, colortbl}
\usetikzlibrary{arrows.meta}
\begin{document}
\begin{tikzpicture}
\node[state] (t00) {$t_{00}$};
\node[state] (t+0) [below = 0.3c... | The diagram structure is changed from a 2x2 grid (two source nodes on the left, two target nodes on the right) to a 2x4 grid (two source nodes on the left, four target nodes on the right). The original source nodes $s_{00}$ and $s_{0+}$ are replaced by $s_{+0}$ and $s_{++}$. The original target nodes $t_{00}$ and $t_{0... | The diagram structure is changed from a 2x4 grid (two source nodes on the left, four target nodes on the right) to a 2x2 grid (two source nodes on the left, two target nodes on the right). Specifically, the source nodes $s_{+0}$ and $s_{++}$ are replaced by $s_{00}$ and $s_{0+}$, and the target nodes $t_{+0}$ and $t_{+... | ||
15 | 0.954078 | \documentclass[tikz]{standalone}
\usepackage{amsmath,amssymb,amsthm,bbm}
\usepackage{tikz}
\usetikzlibrary{arrows,decorations.pathmorphing}
\tikzset{snake it/.style={decorate, decoration={snake, amplitude=.3mm,segment length=4mm}}}
\usepackage{color}
\usetikzlibrary{arrows.meta,shapes}
\begin{document}
\begin{tikzpi... | \documentclass[tikz]{standalone}
\usepackage{amsmath,amssymb,amsthm,bbm}
\usepackage{tikz}
\usetikzlibrary{arrows,decorations.pathmorphing}
\tikzset{snake it/.style={decorate, decoration={snake, amplitude=.3mm,segment length=4mm}}}
\usepackage{color}
\usetikzlibrary{arrows.meta,shapes}
\begin{document}
\begin{tikzpi... | Remove the red/purple wavy path and its associated endpoint dot, as well as the green wavy path and its associated endpoint dot. Remove the black dot and label '$-Mu$' located on the left side of the diagram. Remove the black dot and label '$(M+n)u$' located on the far right side of the diagram. Remove the dotted line ... | A new black dot labeled '$-Mu$' is added to the left of the origin just below the dashed line. A new black dot labeled '$(M+n)u$' is added to the right of the existing '$nu$' point. The horizontal dashed line is extended to the left and right. Two new dotted lines are added, parallel to the original one, passing throug... | ||
16 | 0.959746 | \documentclass[tikz]{standalone}
\usepackage{amsmath, amsfonts, amssymb, amsthm}
\usepackage{color}
\usepackage{tikz,pgf}
\usetikzlibrary{matrix, arrows, positioning, graphs, trees, shapes, arrows.meta}
\usetikzlibrary{bending}
\tikzset{
world/.style = {circle, draw, minimum size=4mm}
}
\begin{document}
\begin{t... | \documentclass[tikz]{standalone}
\usepackage{amsmath, amsfonts, amssymb, amsthm}
\usepackage{color}
\usepackage{tikz,pgf}
\usepackage{pgffor}
\usetikzlibrary{matrix, arrows, positioning, graphs, trees, shapes, arrows.meta, bending}
\tikzset{
world/.style={circle, draw, minimum size=5mm}
}
\begin{document}
\begi... | The entire left-hand diagram labeled '$\mathcal{M}$' (a vertical stack of three nodes $m_1, m_2, m_3$) is removed from the figure. The right-hand diagram (originally labeled '$\mathcal{N}$') is restructured into a 3x2 grid layout and relabeled as '$\mathcal{M}$'. The nodes are arranged in three rows: ($l_1, r_1$), ($l_... | In the left panel ($\mathcal{M}$), the structure is changed from a 3x2 grid of nodes to a single vertical column of three nodes. In the left panel ($\mathcal{M}$), the labels for the top two nodes are changed from $l_1$, $l_2$, and $l_3$ to $m_1$, $m_2$, and $m_3$. In the left panel ($\mathcal{M}$), the horizontal bidi... | ||
17 | 0.953086 | \documentclass[tikz]{standalone}
\usepackage{amssymb}
\usepackage{pgf,tikz}
\usepackage{color,ulem}
\begin{document}
\begin{tikzpicture}[scale=0.6]
\draw[rotate=-30] (-4.5,0) -- (4.5,0);
\draw[rotate=-30] ({sqrt(3)+1},-3) -- ({1-5/3*sqrt(3)}, 5);
\draw[rotate=-30] ({-sqrt(3)-1},-3) -- ({5/3*sqrt(3)-1}, 5);
... | \documentclass[tikz]{standalone}
\usepackage{amssymb}
\usepackage{pgf,tikz}
\usepackage{color,ulem}
\begin{document}
\begin{tikzpicture}[scale=0.5]
\draw (-5.5,-1) -- (5.5,-1);
\draw (-5.5,1) -- (5.5,1);
\draw (-2,-4.5) -- (-2, 4.5);
\draw (2,-4.5) -- (2, 4.5);
\filldraw[fill=gray!40!white, draw=black... | The four boundary lines (Σ) are changed from a rotated, intersecting configuration to an orthogonal grid. The lines are now strictly horizontal and vertical, forming a rectangular frame around the center. A new label 'Σ⁴' is added to top left of the bottom-left quadrant, representing the fourth boundary. A new label 'Θ... | The '$\Sigma^2$' axis is rotated counterclockwise by 30 degrees. The '$\Sigma^3$' axis is rotated counterclockwise by 60 degrees. The '$\Sigma^4$' axis, its associated labels '$\Sigma^4$', and '$\Theta^{3,4}$' are removed. The angle arc corresponding to '$\Theta^{3,4}$' is removed. The labels '$x^4_1$' and '$x^4_2$' an... | ||
18 | 0.951264 | \documentclass[tikz]{standalone}
\usepackage[utf8]{inputenc}
\usepackage{amsmath,amssymb}
\usepackage{tikz-cd}
\begin{document}
\begin{tikzcd}
\mathcal{F}_n(\varepsilon) \cong M_{n+2} \ar[r] \ar[d] & \mathcal{F}_n \ar[d] & \ar[l] \ar[d] F_n \\
\mathrm{Gr}(n, \mathfrak{s}^1_{n+1}) \ar[r] \ar[d] & \mathrm{Gr}_{... | \documentclass[tikz]{standalone}
\usepackage[utf8]{inputenc}
\usepackage{amsmath,amssymb}
\usepackage{tikz-cd}
\begin{document}
\begin{tikzcd}
\overline{M}_{n+2} \ar[r] \ar[d] & \overline{\mathcal{C}F}_n \ar[d] & \ar[l] \ar[d] \overline{F}_n \\
\overline{T}_n \ar[r] \ar[d] & \overline{\mathcal{C}f}_n \ar[d] & \... | The label in the top-left node is changed from '$\mathcal{F}_n(\varepsilon) \cong M_{n+2}$' to '$\overline{M}_{n+2}$'. The label in the top-middle node is changed from '$\mathcal{F}_n$' to '$\overline{\mathcal{C}F}_n$'. The label in the top-right node is changed from '$F_n$' to '$\overline{F}_n$'. The label in the midd... | The label in the top-left node is changed from '$\overline{M}_{n+2}$' to '$\mathcal{F}_n(\varepsilon) \cong M_{n+2}$'. The label in the top-middle node is changed from '$\overline{\mathcal{C}F}_n$' to '$\mathcal{F}_n$'. The label in the top-right node is changed from '$\overline{F}_n$' to '$F_n$'. The label in the midd... | ||
19 | 0.959645 | \documentclass[tikz]{standalone}
\usepackage{tikz}
\usepackage{pgfplots}
\usepackage{booktabs} % Required for \toprule, \midrule
\usepackage{colortbl} % Required for \color
\usetikzlibrary{arrows.meta, decorations.pathreplacing, positioning, shapes, calc}
\begin{document}
\begin{tikzpicture}
\begin{small}
\node (tab... | \documentclass[tikz]{standalone}
\usepackage[T1]{fontenc}
\usepackage{xcolor}
\usepackage{tikz}
\usepackage{amsmath}
\usepackage{booktabs} % Required for \toprule, \midrule, \bottomrule
\begin{document}
\begin{tikzpicture}
\begin{small}
\node (table) [inner sep=0pt] {
\begin{tabular}{p{1.2cm}|p{12.5cm}}
\toprule
Rol... | The entire content of the table has been replaced. The original table discussing 'advertising aimed at children' and 'CRIT' evaluations has been swapped for a new table discussing a 'Genesis 3:1-6' creative writing exercise involving 'GPT3'. The role labels in the first column have changed from 'Prompt' and 'CRIT' to '... | The entire content of the table has been replaced. The original table containing a dialogue about Genesis 3:1-6 and GPT3's refusal/creative writing has been swapped for a new table containing a dialogue about advertising regulation, argument validity ratings, and a final calculation for Gamma. The table header text 'Ro... | ||
20 | 0.959525 | \documentclass[tikz]{standalone}
\usepackage{tikz}
\usepackage{pgfplots}
\usetikzlibrary{arrows.meta, decorations.pathreplacing, positioning, shapes, calc}
\begin{document}
\begin{tikzpicture}
\node (label1) {\rotatebox{180}{$\mathbf{\vdots}$}};
\node (label2) [right of=label1, xshift= 5cm] {\rotatebox{180}{$\math... | \documentclass[tikz]{standalone}
\usepackage{tikz}
\usepackage{pgfplots}
\usepackage{graphicx}
\usepackage{amsmath}
\usetikzlibrary{arrows.meta, decorations.pathreplacing, positioning, shapes, calc}
\begin{document}
\begin{tikzpicture}
\node (label1) [draw, minimum size=1cm] {\rotatebox{180}{$\mathbf{\vdots}$}};
\no... | Added rectangular borders (boxes) around all nodes in the diagram, including the text labels (e.g., 'bfg(cdh)...') and the vertical ellipsis symbols. Changed the arrowheads on all connecting lines from the default thin style to a larger, filled 'Stealth' style. The three dots below and above the right side of the diagr... | Remove the rectangular border (box) surrounding all nodes in the diagram, including the nodes containing mathematical expressions and the ellipsis symbols. Change the arrowheads on all connecting lines from the thick 'Stealth' style to the standard thin arrow style. Both three dots at the right side of the diagram are ... | ||
21 | 0.959591 | \documentclass[tikz]{standalone}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage[colorlinks]{hyperref}
\usepackage{xcolor}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[vertex/.style = {draw, rounded corners = .3em}, scale = 2]
\begin{scope}
\node[vertex] (s) at (0,... | \documentclass[tikz]{standalone}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage[colorlinks]{hyperref}
\usepackage{xcolor}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[vertex/.style = {draw, rounded corners = .3em}, scale = 1.5]
\begin{scope}
\node[vertex] (s) at (... | Remove the entire lower-left path, including its s and t vertices, three unlabeled intermediate vertices, solid edges, and dotted continuation. Remove the heading “𝒫_i =” associated with the deleted lower-left path. Remove the lower-path edge labels “1/m[x_i = y₁]”, “1/m[x_{i+1} = y₂]”, and “1/m[x_{i+m−1} = y_m]”. Exp... | Replace the upper-left graph, which consists of a horizontal chain with several curved shortcuts to a lower terminal vertex, with a single horizontal s-to-t path containing three unlabeled intermediate vertices. Remove the solid and dotted shortcut edges connecting the vertices of the upper-left chain directly to t. Mo... | ||
22 | 0.95288 | \documentclass[tikz]{standalone}
\usepackage{tikz}
\usepackage{pgfplots}
\usetikzlibrary{arrows.meta, decorations.pathreplacing, positioning, shapes, calc}
\begin{document}
\begin{tikzpicture}[x=8em,y=8em]
\pgfmathsetmacro{\azx}{1.4}
\pgfmathsetmacro{\azy}{0.3}
\pgfmathsetmacro{\aox}{0.7}
\pgfmathset... | \documentclass[tikz]{standalone}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage[colorlinks,citecolor=blue]{hyperref}
\usepackage{tikz}
\usetikzlibrary{positioning,arrows,decorations.pathreplacing,patterns,calc}
\usepackage{amsmath}
\usetikzlibrary{arrows.meta}
\begin{document}
\begin{tikzpicture}[x... | Rotate and shorten the thin black vector from the origin so its endpoint moves from the steep upper-right position of a₂ to a shallower position farther right and lower. Replace the thick lower-right q₁ vector with a horizontal vector from the origin along the positive x-axis, ending shortly before the x-axis arrowhead... | Reposition the black vector labeled a₁ so that it points more steeply into the upper-right quadrant, and change its label from a₁ to a₂. Replace the thick red vector lying along the positive x-axis and labeled ‖a₁‖e₁ with a thick black vector pointing slightly upward into the first quadrant, labeled q₁. Remove the thic... | ||
23 | 0.955497 | \documentclass[tikz]{standalone}
\usepackage{etex,bm, amscd,amsfonts,amsthm, mathrsfs, tikz, multicol, subcaption}
\begin{document}
\begin{tikzpicture} [scale=.7]
\draw [thick] (0,0)--(8,0)--(8,8)--(0,8)--(0,0);
\draw [thick] (4,0)--(4,8);
\draw [thick] (0,4)--(8,4);
\draw [fill=gray] (0,0) rectangle (4,4);
... | \documentclass[tikz]{standalone}
\usepackage{etex,bm, amscd,amsfonts,amsthm, mathrsfs, tikz, multicol, subcaption}
\begin{document}
\begin{tikzpicture} [scale=.8]
\draw [thick] (0,0)--(8,0)--(8,8)--(0,8)--(0,0);
\draw [thick] (4,0)--(4,8);
\draw [thick] (0,4)--(8,4);
\draw [fill=gray] (0,0) rectangle (4,4);
... | The purple square in the top-right quadrant is replaced by a purple right-angled triangle. The triangle's vertices are at the center of the figure, the point to the right of the center on the horizontal midline, and the point above the center on the vertical midline. Two small red right-angled triangles are added. One ... | Remove all four text labels from the quadrants: '$d^{1/3}$' in the bottom-left, '$d^{1/2}$' in the top-left, '$d^{1/2}$' in the bottom-right, and '$d$' in the top-right. Remove the two small red triangles located in the top-right quadrant (one pointing up-left, one pointing down-right). Change the shape of the purple r... | ||
24 | 0.956104 | \documentclass[tikz]{standalone}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{xcolor}
\usepackage{amsmath,amsthm}
\usepackage{color,soul}
\usepackage{tikz}
\usetikzlibrary{bayesnet}
\usetikzlibrary{arrows}
\usepackage{color}
\usetikzlibrary{backgrounds}
\begin{document}
\begin{tikzpicture}[->,>=s... | \documentclass[tikz]{standalone}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{xcolor}
\usepackage{amsmath,amsthm}
\usepackage{color,soul}
\usepackage{tikz}
\usetikzlibrary{bayesnet}
\usetikzlibrary{arrows}
\usepackage{color}
\usetikzlibrary{backgrounds}
\begin{document}
\begin{tikzpicture}[->,>=s... | A new node $R_s$ is added at the top, pointing to a new central node $U_s$. The original node $U_{swh}$ is moved to the left and now points to $U_s$. The node $X_{swh}$ is replaced by $X_s$, $T_{swh}$ is replaced by $T_s$, and Y_{swh}$ is replaced by $Y_s$. The connections are updated to flow through the new $U_s$ node... | Remove the node labeled $U_s$ (circle) and the node labeled $R_s$ (circle) located above it, along with the arrow from $R_s$ to $U_s$, the arrow from $U_{swh}$ to $U_s$, and the text annotation 'Objects not in image'. Remove the large gray rectangular box that encloses the nodes $U_{swh}$ and $I_{sh'w'}$ and the label ... | ||
25 | 0.95836 | \documentclass[tikz]{standalone}
\usepackage{amssymb}
\usepackage{amssymb,amscd,amsthm,amsmath,graphicx,color,mathtools} %added mathtools
\usepackage{color}
\usepackage[color,matrix,arrow]{xy}
\usepackage{tikz}
\usetikzlibrary{matrix}
\usetikzlibrary{arrows.meta}
\usepackage{tikz-cd}
\begin{document}
\begin{tikzcd}
... | \documentclass[tikz]{standalone}
\usepackage{amssymb}
\usepackage{amssymb,amscd,amsthm,amsmath,graphicx,color,mathtools} %added mathtools
\usepackage{color}
\usepackage[color,matrix,arrow]{xy}
\usepackage{tikz}
\usetikzlibrary{matrix}
\usetikzlibrary{arrows.meta}
\usepackage{tikz-cd}
\begin{document}
\begin{tikzcd}
... | The label 'x' at the top center is changed to 'a'. The label 'y' in the middle row is changed to 'b'. The label 'z' in the middle row is changed to 'c'. The label '\widehat y' on the left is changed to '\widehat{b}'. The label '\widehat z' is changed to '\widehat{c}' and moved to the middle of the row. A new node label... | The labels 'a', 'b', and 'c' are changed to 'x', 'y', and 'z', respectively. The labels '\widehat{b}' and '\widehat{c}' are changed to '\widehat y' and '\widehat z', respectively. The bottom nodes 'd' and '\widehat{d}' are removed. All four solid arrows leading from '\widehat{b}', '\widehat{c}', 'b', and 'c' to the rem... | ||
26 | 0.954249 | \documentclass[tikz]{standalone}
\usepackage{amssymb, bm}
\usepackage{color, xcolor}
\usepackage[utf8]{inputenc}
\usepackage{tikz-cd}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usetikzlibrary{arrows.meta,shapes}
\begin{document}
\begin{tikzpicture}
\draw [fill] (0, 2.8) circle (0.02);
\draw [fill] (0, 2.7) circle (0... | \documentclass[tikz]{standalone}
\usepackage{amssymb, bm}
\usepackage{color, xcolor}
\usepackage[utf8]{inputenc}
\usepackage{tikz-cd}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usetikzlibrary{arrows.meta,shapes}
\begin{document}
\begin{tikzpicture}
\draw [fill] (0, 2.8) circle (0.02);
\draw [fill] (0, 2.7) circle (0... | In the left diagram ($\Gamma'$), the two black square markers are replaced by larger black circular markers. In the right diagram ($\Gamma$), the single black square marker is replaced by two larger black circular markers, one above the other. A text label '$\lambda(\mathbf{e}') = 0$' is added to the left of the left d... | In the left panel ($\Gamma'$), the two large circular nodes are changed into square nodes. In the right panel ($\Gamma$), the two large circular nodes are replaced by a single large square node positioned at the vertical midpoint of the original two nodes. The text label '${\bm \lambda} ({\mathbf e}') = 0$' to the left... | ||
27 | 0.959371 | \documentclass[tikz]{standalone}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{arrows.meta,shapes}
\begin{document}
\begin{tikzpicture}
\node (1) at (0,0) [scale=0.6,circle,fill,label=below:{$1$}] {};
\node (2) at (1,0) [scale=0.6,circle,fill,label=below:{$2$}] {};
\node (3) at (2,0) [s... | \documentclass[tikz]{standalone}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{arrows.meta,shapes}
\begin{document}
\begin{tikzpicture}
\node (1) at (0,0) [scale=0.6,circle,fill,label=below:{$1$}] {};
\node (2) at (1,0) [scale=0.6,circle,fill,label=below:{$2$}] {};
\node (3) at (2,0) [s... | A new row of four nodes labeled 6, 7, 8, and 9 is added above the existing bottom row. These nodes are positioned horizontally between the vertical levels of nodes 1-2, 2-3, 3-4, and 4-5 respectively. A directed edge is added from node 1 to node 6. A directed edge is added from node 9 to node 5. A sequence of directed ... | Remove the upper row of nodes (labeled 6, 7, 8, and 9) and all arrows connected to them (the arrow from node 1 to node 6, the arrows between nodes 6-7, 7-8, 8-9, and the arrow from node 9 to node 5). | ||
28 | 0.952007 | \documentclass[tikz]{standalone}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage[usenames, dvipsnames]{xcolor}
\usepackage{pgfplots}
\usetikzlibrary{arrows,automata, pgfplots.fillbetween, matrix,positioning,fadings,calc,shapes,backgrounds,trees, plotmarks, patterns}
\usetikzlibrary{arrows.meta}
\begin{document}
... | \documentclass[tikz]{standalone}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{pgfplots}
\usepackage{tikz}
\usetikzlibrary{arrows,automata, pgfplots.fillbetween, matrix,positioning,fadings,calc,shapes,backgrounds,trees, plotmarks, patterns}
\usetikzlibrary{arrows.meta}
\begin{document}
\begin{tikzpicture}[le... | Remove the labels $Y_1(l)$, $Y_2(l)$, $Y_3(l)$, and $Y_4(l)$ located on the right side of the tree. Change the label of the bottom-right leaf node from $l$ to $l_3$. Add a new label $l_1$ to the bottom-left leaf node. Add a new label $l_2$ to the second leaf node from the left. Add a label $\text{lca}(l_1, l_2, l_3)$ a... | Remove the top-level label '$\text{lca}(l_1,l_2,l_3)$' and the intermediate label '$\text{lca}(l_1,l_2)$'. Remove the leaf labels '$l_1$', '$l_2$', and '$l_3$' from the bottom row of the tree. Add four new labels to the right side of the tree: '$Y_1(l)$' near the top, '$Y_2(l)$' below it, '$Y_3(l)$' further down, and '... | ||
29 | 0.95456 | \documentclass[tikz]{standalone}
\usepackage{tkz-euclide}
\usetikzlibrary{intersections}
\usepackage{pgfplots}
\pgfmathdeclarefunction{gauss}{3}{%
\pgfmathparse{1/(#3*sqrt(2*pi))*exp(-((#1-#2)^2)/(2*#3^2))}%
}
\begin{document}
\begin{tikzpicture}
\begin{axis}[
no markers,
domain=0:5,
samples=100,
ymin=0,
... | \documentclass[tikz]{standalone}
\usepackage{tkz-euclide}
\usetikzlibrary{intersections}
\usepackage{pgfplots}
\pgfmathdeclarefunction{gauss}{3}{%
\pgfmathparse{1/(#3*sqrt(2*pi))*exp(-((#1-#2)^2)/(2*#3^2))}%
}
\begin{document}
\begin{tikzpicture}
\begin{axis}[
no markers,
domain=0:17,
samples=100,
ymin=0,... | The three Gaussian curves (blue, brown, red) are shifted horizontally to the right and separated from each other. The blue curve's peak moves from the left-center to the far left, the brown curve's peak moves to the center, and the red curve's peak moves to the right. The curves no longer overlap significantly. All cur... | The three Gaussian curves ($\theta_1$, $\theta_2$, $\theta_3$) are modified to be narrower (reduced standard deviation) and shifted closer together so that they overlap significantly in the center, rather than being separated as in the first image. The blue, brown, and red vertical dashed lines extending from the peaks... | ||
30 | 0.959839 | \documentclass[tikz]{standalone}
\usepackage{tikz}
\usepackage{pgfplots}
\usetikzlibrary{arrows.meta, decorations.pathreplacing, positioning, shapes, calc}
\begin{document}
\begin{tikzpicture}[scale=1, every node/.style={draw, inner sep=2pt}]
\foreach \i in {1,2,3,4} {
\node[blue] (v\i) at (0, -\i) {$s_{... | \documentclass[tikz]{standalone}
\usepackage{quantikz}
\begin{document}
\begin{tikzpicture}[scale=1, every node/.style={draw, inner sep=2pt}]
\foreach \i in {1} {
\node[blue] (v\i) at (0, -2.5) {$s_{X_\i}$};
}
\foreach \i in {1, 2, 3, 4} {
\node[red, circle] (h\i) at (3, -\i) {$q_{\i}$};
... | The diagram topology is changed from a many-to-one-to-many structure to a one-to-many-to-many structure. The single central red node $q_1$ is replaced by four vertically stacked red nodes ($q_1, q_2, q_3, q_4$). The four blue nodes on the left are replaced by a single blue node $s_{X_1}$. The connectivity of the edges ... | The network topology is changed from a single-input, four-hidden-node structure to a four-input, single-hidden-node structure. Specifically, the single blue input node $s_{X_1}$ is replaced by four vertically stacked blue input nodes ($s_{X_1}$, $s_{X_2}$, $s_{X_3}$, $s_{X_4}$), and the four red hidden nodes ($q_1$ thr... | ||
31 | 0.957275 | \documentclass[tikz]{standalone}
\usepackage[utf8]{inputenc}
\usepackage{amsmath,amsfonts,amssymb,dsfont,bm,amsthm}
\usepackage{xcolor}
\usepackage{tikz}
\usetikzlibrary{babel, arrows, decorations, decorations.pathmorphing, decorations.pathreplacing, decorations.shapes, calc}
\usetikzlibrary{arrows.meta, positioning}
... | \documentclass[tikz]{standalone}
\usepackage[utf8]{inputenc}
\usepackage{amsmath,amsfonts,amssymb,dsfont,bm,amsthm}
\usepackage{xcolor}
\usepackage{tikz}
\usetikzlibrary{babel, arrows, decorations, decorations.pathmorphing, decorations.pathreplacing, decorations.shapes, calc}
\usetikzlibrary{arrows.meta, positioning}
... | The label of the leftmost node is changed from '${}^3A$' to '${}^1A$'. The label of the rightmost node is changed from '${}^2B$' to '${}^3A$'. A new node labeled '${}^1C$' is added to the right of the existing nodes. The self-loop arrow on the leftmost node (now labeled ${}^1A$) is removed. A pair of curved arrows is a... | The label of the leftmost node is changed from '${}^1A$' to '${}^3A$'. The label of the middle node is changed from '${}^3A$' to '${}^2B$'. The rightmost node labeled '${}^1C$' and all arrows connected to it (the bidirectional arrows to the middle node and the long curved arrow to the leftmost node) are removed. A self... | ||
32 | 0.95512 | \documentclass[tikz]{standalone}
\usepackage{amsmath,amsthm,amsfonts,amssymb,amscd}
\usepackage[dvipsnames]{xcolor}
\usepackage{pgfplots}
\usepackage{tikz}
\usetikzlibrary{decorations.text}
\usepackage[colorlinks=true,linkcolor=blue,allcolors=blue,citecolor=blue]{hyperref}
\begin{document}
\begin{tikzpicture}[scale=... | \documentclass[tikz]{standalone}
\usepackage{amsmath,amsthm,amsfonts,amssymb,amscd}
\usepackage[dvipsnames]{xcolor}
\usepackage{pgfplots}
\usepackage{tikz}
\usetikzlibrary{decorations.text}
\usepackage[colorlinks=true,linkcolor=blue,allcolors=blue,citecolor=blue]{hyperref}
\begin{document}
\begin{tikzpicture}[scale=... | The vertical axis label is changed from '$\hat{\rho}$' to '$\mathcal{F}$'. The light red shaded regions under the curve in the first figure are removed. The blue horizontal arrows along the x-axis are removed. The main curve shape is changed from a cubic-like function (resembling a sine wave) to a quartic function (res... | The vertical axis label is changed from '$\mathcal{F}$' to '$\hat{\rho}$'. The main black curve, which was a quartic potential well shape (resembling a double-well potential), is replaced by a cubic curve (resembling a sine wave or odd function) that passes through the origin and extends to the edges. The colored traje... | ||
33 | 0.954499 | \documentclass[tikz]{standalone}
\usepackage{tikz}
\usepackage{amsmath, amssymb, amsthm, amsfonts}
\usetikzlibrary{arrows,chains,matrix,positioning,scopes}
\tikzset{
join/.code={
\tikzset{
after node path={
\tikzset{>=stealth', every on chain/.append style={join}}
}
}
}
}
\begin{docume... | \documentclass[tikz]{standalone}
\usepackage{tikz}
\usepackage{amsmath, amssymb, amsthm, amsfonts}
\usetikzlibrary{arrows,chains,matrix,positioning,scopes}
\tikzset{
join/.style={
after node path={
\tikzset{>=stealth', every on chain/.append style={join}}
}
}
}
\begin{document}
\begin{tikzpicture}[... | Remove node 6 and the four arrows ending at it: 1→6, 2→6, 3→6, and 5→6. Move node 3 inward to the center-right, node 4 to the bottom center, and node 5 to the far left, producing a five-node layout. Remove the arrows 1→4, 2→4, 3→2, and 3→5. Add the arrows 1→3, 1→5, and 2→3. The arrows 1→2, 2→5, 3→4, and 4→5 remain in t... | Remove the node labeled '6' and all arrows connected to it (arrows from 1, 2, 3, and 5 pointing to 6). Move node '3' from the far right to a position closer to the center-right. Move node '4' from the bottom-right to the bottom-center. Move node '5' from the bottom-left to the far left. Remove the arrow from node 1 to ... | ||
34 | 0.958338 | \documentclass[tikz]{standalone}
\usepackage{tikz}
\usepackage{pgfplots}
\usetikzlibrary{arrows.meta, decorations.pathreplacing, positioning, shapes, calc}
\begin{document}
\begin{tikzpicture}[scale=1.75]
\draw [step=1, gray, very thin] (0,0) grid (1.5,1.5);
\draw [ ->, gray] (0,0)--(1.5,0);
\draw [ gra... | \documentclass[tikz]{standalone}
\usepackage{tikz}
\usepackage{pgfplots}
\usetikzlibrary{arrows.meta, decorations.pathreplacing, positioning, shapes, calc}
\begin{document}
\begin{tikzpicture}[scale=1.75]
\draw [step=1, gray, very thin] (0,0) grid (1.5,1.5);
\draw [ ->, gray] (0,0)--(1.5,0);
\draw [ gra... | Remove the diagonal arrow connecting the bottom-left node (0) to the top-right node (X+Y) and its associated label '$k_5$'. Remove the vertical arrow pointing upwards from the bottom-left node (0) to the top-left node (Y) and its associated label '$k_6$'. Change the horizontal arrow from the bottom-left node (0) to the... | The four blue lines forming the square perimeter (labeled k1, k2, k3, k4) are changed from undirected segments to directed arrows. Specifically: the bottom edge (k1) now points right, the right edge (k2) points up, the top edge (k3) points left, and the left edge (k4) points down. A new blue arrow labeled 'k6' is added... | ||
35 | 0.959339 | \documentclass[tikz]{standalone}
\usepackage{amssymb,amsmath,amsthm,multirow,color,xcolor,cancel,bbm,tikz,mathrsfs,hyperref,authblk,stmaryrd,dsfont,authblk}
\begin{document}
\begin{tikzpicture}
\node[outer sep=1,inner sep=1] (1) at (180:0.7){\small{$1$}};
\node[outer sep=1,inner sep=1] (2) at (60:0.7){\small{$2$}};
... | \documentclass[tikz]{standalone}
\usepackage{amssymb,amsmath,amsthm,multirow,color,xcolor,cancel,bbm,tikz,mathrsfs,hyperref,authblk,stmaryrd,dsfont,authblk}
\begin{document}
\begin{tikzpicture}
\node[outer sep=1,inner sep=1] (a) at (180:0.5){\small{$a$}};
\node[outer sep=1,inner sep=1] (b) at (0:0.5){\small{$b$}};
\... | The label '1' is changed to 'a'. The label '2' is changed to 'b'. The label '3' and its associated node are removed. The label '4' and its associated node are removed. The label '5' and its associated node are removed. A new label 'c' is added at the top-left position. The circular arrangement of nodes is reduced from ... | The label 'a' is changed to '1', 'b' is changed to '2', and 'c' is changed to '5'. A new label '3' is added at the bottom-right position of the cycle, and a new label '4' is added on the path leading into the cycle. The cycle structure is expanded from a 2-node loop (between 'a' and 'b') to a 3-node loop (between '1', ... | ||
36 | 0.959393 | \documentclass[tikz]{standalone}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{color}
\usepackage[
pdftex,
bookmarks=false,
colorlinks=true,
citecolor=darkspringgreen,
debug=true
]{hyperref}
\usepackage{tikz-cd}
\begin{document}
\begin{tikzcd}
\cdots \mathcal{N}^i \arrow[shift left]{r}{v_-}
& ... | \documentclass[tikz]{standalone}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{color}
\usepackage{tikz-cd}
\begin{document}
\begin{tikzcd}
\mathcal{N}^a\arrow[shift left]{r}{v_-}&\mathcal{N}^{a-1}\arrow[shift left]{r}{v_-}&\mathcal{N}^{a-2}\arrow[shift left]{r}{v_-}&\cdots
\end{tikzcd}
\end{document} | The sequence is changed from $\cdots\mathcal{N}^i,\mathcal{N}^{i-1},\cdots$ to $\mathcal{N}^a,\mathcal{N}^{a-1},\mathcal{N}^{a-2},\cdots$. All backward-pointing arrows labeled $v_+$ are removed. The bidirectional chain becomes a unidirectional chain of three right-pointing arrows labeled $v_-$. The leading ellipsis is ... | The nodes $\mathcal{N}^a$, $\mathcal{N}^{a-1}$, and $\mathcal{N}^{a-2}$ are replaced by a generic segment containing $\mathcal{N}^i$ and $\mathcal{N}^{i-1}$, followed by an ellipsis. Both connections become bidirectional: each has a rightward arrow labeled $v_-$ on the top and a leftward arrow labeled $v_+$ on the bott... | ||
37 | 0.955568 | \documentclass[tikz]{standalone}
\usepackage{amsmath, amssymb, amsthm, amscd}
\usepackage{tikz}
\usepackage{tikz-cd}
\begin{document}
\begin{tikzcd}
\mathrm{H}_{l}(G\times U_{\Omega},G\times (e\times I \cup \Omega\times \partial I) ) \arrow{r}{(\Phi,\mathrm{id}_I)_*} \arrow{d}{(\mathrm{id}_G,\mathrm{R}_{GH})_*}... | \documentclass[tikz]{standalone}
\usepackage{amsmath, amssymb, amsthm, amscd}
\usepackage{tikz}
\usepackage{tikz-cd}
\begin{document}
\begin{tikzcd}
\mathrm{H}_k(\Omega, p_0) \arrow{r}{i_*}\arrow{d}[swap]{\text{cpro}} & \mathrm{H}_k(\Lambda, M) \arrow{d}{\text{cpr}} \\
\mathrm{H}_{k+1-n}(\Omega^2,\Omega\times p... | Replace the top-left node text 'H_l(G \times U_\Omega, G \times (e \times I \cup \Omega \times \partial I))' with 'H_k(\Omega, p_0)'. Replace the top-right node text 'H_l(U_\Lambda, M \times I \cup \Lambda \times \partial I)' with 'H_k(\Lambda, M)'. Replace the bottom-left node text 'H_l(G \times F_\Omega, G \times (e ... | The top-left node text is changed from 'H_k(\Omega, p_0)' to 'H_l(G \times U_\Omega, G \times (e \times I \cup \Omega \times \partial I))'. The top-right node text is changed from 'H_k(\Lambda, M)' to 'H_l(U_\Lambda, M \times I \cup \Lambda \times \partial I)'. The bottom-left node text is changed from 'H_{k+1-n}(\Omeg... | ||
38 | 0.95437 | \documentclass[tikz]{standalone}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage[svgnames]{xcolor}
\usepackage[pdftex,leftbars,xcolor]{changebar}
\usepackage{tikz}
\usetikzlibrary{matrix,arrows}
\usepackage{amsmath,amsthm}
\usepackage{amssymb,latexsym,amsfonts}
\usetikzlibrary{arrows.meta}
\begin{docu... | \documentclass[tikz]{standalone}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage[svgnames]{xcolor}
\usepackage[pdftex,leftbars,xcolor]{changebar}
\usepackage{tikz}
\usetikzlibrary{matrix,arrows}
\usepackage{amsmath,amsthm}
\usepackage{amssymb,latexsym,amsfonts}
\usepackage{graphicx}
\usetikzlibrary{a... | The mathematical expression in the first node on the left, '(U', 0)', is changed to the Fraktur letter 'H' (\mathfrak{H}). The mathematical expression in the second node, '(V, b_V)', is changed to '(\mathfrak{G}_{\text{red}}, \delta)'. The label 'i'' above the top arrow is changed to 'i'. The label 'p'' below the botto... | The mathematical symbol on the far left, '$\mathfrak{H}$', is replaced with the tuple '$(U', 0)$'. The mathematical expression in the center, '$(\mathfrak{G}_{\text{red}}, \delta)$', is replaced with '$(V, b_V)$'. The label '$i$' above the top arrow is changed to '$i'$'. The label '$p$' below the bottom arrow is change... | ||
39 | 0.955199 | \documentclass[tikz]{standalone}
\usepackage[T1]{fontenc}
\usepackage[latin9]{inputenc}
\usepackage{tikz}
\usetikzlibrary{positioning}
\usepackage{amsmath,amsfonts,bbm}
\usepackage{color}
\usepackage[bookmarks=true,bookmarksopen=true,bookmarksopenlevel=0,pdfview=fit]{hyperref}
\usepackage[colorinlistoftodos]{todonotes... | \documentclass[tikz]{standalone}
\usepackage[T1]{fontenc}
\usepackage[latin9]{inputenc}
\usepackage{tikz}
\usetikzlibrary{positioning}
\usepackage{amsmath,amsfonts,bbm}
\usepackage{color}
\usepackage[colorinlistoftodos]{todonotes}
\begin{document}
\begin{tikzpicture}
[observed/.style={circle,draw=black,fill=white,mi... | The three nodes lying vertically in the middle change from solid red circles to white circles; the top one is with black outlines; the bottome two are with dashed outlines. A label $x_t$ is added inside of the top nodes of the three nodes lying vertically in the middle, for the bottome two nodes, labels $x_{\tau}$ and ... | The node labeled '$y_t$' (the rightmost circle in the top row) and the bidirectional arrow connecting it to '$x_t$' are removed. The red text label '$\beta$' located above the connection between '$x_t$' and '$y_t$' is removed. The nodes '$x_t$', '$x_{\tau}$', and '$x_{t-h}$' (the vertical column of circles) are changed... | ||
40 | 0.953791 | \documentclass[tikz]{standalone}
\usepackage{amsmath,amssymb,amsthm,amsfonts}
\usepackage{graphicx,color}
\usepackage{tikz}
\usetikzlibrary{decorations.markings,calc}
\usetikzlibrary{arrows.meta,decorations.pathmorphing,shapes}
\begin{document}
\begin{tikzpicture}
[scale=4.2, thick]
\def\pt{0.02}
\def\q{.61}
... | \documentclass[tikz]{standalone}
\usepackage{amsmath,amssymb,amsthm,amsfonts}
\usepackage{graphicx,color}
\usepackage{tikz}
\usetikzlibrary{decorations.markings,calc}
\usetikzlibrary{arrows.meta,decorations.pathmorphing,shapes}
\begin{document}
\begin{tikzpicture}
[scale=4.2, thick]
\def\pt{0.02}
\def\q{.61}
... | The main ray vertex moves rightward from approximately x=0.3 to x=0.5. The upper-ray label changes from '$C_{a,\frac{\pi}{4}}$' to '$C_{\omega_{\mathsf{cr}},\frac{\pi}{4}}$', moves from the top right to the middle center close to the ray. The circular contour $\Gamma_w$, its internal arrowed segments, the two red point... | The main diagonal ray and its vertex move leftward from approximately x=0.5 to x=0.3. The ray label changes from $C_{\omega_{\mathsf{cr}},\frac{\pi}{4}}$ to $C_{a,\frac{\pi}{4}}$ and move towards top right. The shaded region, dashed vertical line, dashed quarter-circle, solid arc, and segmented ultra-thick path to $w$ ... | ||
41 | 0.958743 | \documentclass[tikz]{standalone}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{decorations.pathmorphing}
\usetikzlibrary{decorations.markings}
\usetikzlibrary{positioning, shapes, snakes, arrows}
\usepackage{color}
\tikzset{
quark/.style={draw=blue, thick, ->},
gluon/.style={deco... | \documentclass[tikz]{standalone}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{decorations.pathmorphing}
\usetikzlibrary{decorations.markings}
\usetikzlibrary{positioning, shapes, snakes, arrows}
\usepackage{color}
\tikzset{
quark/.style={thick, ->, >=stealth},
gluon/.style={deco... | All blue quark lines are changed to black, and the red gluon line is changed to black. The upper vertex with two slanted quark lines is removed. A second wavy gluon line rising from the horizontal axis is added next to the right of the original wavy gluon line. Both lines are parallel. The left gluon-angle label change... | The horizontal quark lines change from black to blue, and the first gluon line changes from black to red. The second wavy gluon line is replaced by two slanted blue quark lines meeting at a vertex: the left line points upward-left away from the vertex, while the right line points downward-left toward the vertex. The fi... | ||
42 | 0.950588 | \documentclass[tikz]{standalone}
\usepackage{tcolorbox}
\usepackage{tikz}
\usetikzlibrary{positioning}
\usetikzlibrary{backgrounds}
\usepackage{xcolor}
\begin{document}
\begin{tikzpicture}[thick, minimum size = 6mm]
\node [circle,draw=black, line width=0.5mm, minimum size=5cm] (C) {};
\node (la... | \documentclass[tikz]{standalone}
\usepackage{tcolorbox}
\usepackage{tikz}
\usetikzlibrary{positioning}
\usetikzlibrary{backgrounds}
\usepackage{xcolor}
\definecolor{orange}{RGB}{255,165,0}
\definecolor{blue}{RGB}{0,0,255}
\definecolor{green}{RGB}{0,128,0}
\tikzset{
orangenode/.style = {circle, draw=orange, fill=... | The large outer circular boundary becomes invisible, while all nodes change from hollow outlines to lightly filled circles in their respective colors to match their outline color. The lower orange node is relabeled from $b_1$ to $u_1$ and move the label from the right side to the left side of the orange node. The centr... | The green connection is removed. A visible thick black outer circular boundary is restored. All gray, blue, and orange nodes change from lightly filled circles to hollow circles with thin and light gray colored outlines. The lower orange node is relabeled from $u_1$ to $b_1$ and move the label from the left side to the... | ||
43 | 0.958402 | \documentclass[tikz]{standalone}
\tikzset{every picture/.style={scale=0.7}}%
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\usetikzlibrary{patterns}
\begin{document}
\begin{tikzpicture}
\draw (-2,-0.5) node{};
\draw (3,7.5) node{};
\begin{scope} [shift={(0.5,0.5)}]
\draw (0,0) ell... | \documentclass[tikz]{standalone}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amsthm, amssymb, amsmath, amsfonts, mathrsfs, dsfont, esint,textcomp}
\usepackage[colorlinks=true, pdfstartview=FitV, linkcolor=blue, citecolor=blue, urlcolor=blue,pagebackref=false]{hyperref}
\usepackage{tikz}
\usepackag... | The entire top panel (cylinder and surrounding arrows) is rotated counter-clockwise by approximately 20 degrees. The entire bottom panel (cylinder and surrounding arrows) is rotated clockwise by approximately 20 degrees. In the top panel, the directions of both red curved arrows on the cylinder are reversed, e.g. from ... | Both tilted panels are returned to vertical, upright orientations. The red curved arrows in the top panel are changed to match the directions of the red arrows in the top panel. The horizontal blue arrows in the top panel are reversed, i.e., top arrow right, bottom arrow left). | ||
44 | 0.951896 | \documentclass[tikz]{standalone}
\usepackage{amssymb,yhmath,stmaryrd}
\usepackage{color}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{arrows,decorations.pathmorphing,decorations.pathreplacing,positioning,shapes.geometric,shapes.misc,decorations.markings,decorations.fractals,calc,patterns}
\usetikzlibrary{ar... | \documentclass[tikz]{standalone}
\usepackage{amssymb,yhmath,stmaryrd}
\usepackage{color}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{arrows,decorations.pathmorphing,decorations.pathreplacing,positioning,shapes.geometric,shapes.misc,decorations.markings,decorations.fractals,calc,patterns}
\usetikzlibrary{ar... | The labels $i_0$, $i_1$, $s_0$, and $s_1$ are removed, while their tick marks remain. New tick marks and labels $a^-_0$ and $a^-_1$ are added on the lower-right and upper-left portions of the circle. A blue curved chord is added from $h_0$ to $h_1$, with the label $v$ placed beside it. Two black curved chords are added... | Remove the two black straight lines (chords) that cross the interior of the circle, connecting the top-left to bottom-right and top-right to bottom-left. Remove the blue curved line connecting the top point ($h_0$) to the bottom point ($h_1$). Remove the text labels '$v$', '$u$', and '$u^{\ast}$' located inside the cir... | ||
45 | 0.958265 | \documentclass[tikz]{standalone}
\usepackage[utf8]{inputenc}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{bayesnet}
\usetikzlibrary{arrows}
\usetikzlibrary{calc,decorations.pathreplacing}
\usepackage[color=red!10,colorinlistoftodos]{todonotes}
\begin{document}
\begin{tikzpicture}
\draw[->] (-1,... | \documentclass[tikz]{standalone}
\usepackage[utf8]{inputenc}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{bayesnet}
\usetikzlibrary{arrows}
\usetikzlibrary{calc,decorations.pathreplacing}
\usepackage[color=red!10,colorinlistoftodos]{todonotes}
\begin{document}
\begin{tikzpicture}
\draw[->] (-1,... | The entire orange-colored set of elements is removed. This includes the thick orange line, the orange point labeled $\tilde{\beta}^{\{2\}}$ on the vertical axis, the orange point labeled $\tilde{\beta}^{\{1\}}$ on the horizontal axis, and the orange point labeled $\tilde{\beta}^{\{1,2\}}$ on the dashed line. A new gray... | A new solid orange line is added to the plot. It has a shallower negative slope than the original black line, intersecting the vertical axis at a lower point and the horizontal axis at a point closer to the origin. Three new orange data points are added, corresponding to the intercepts and a point on the new orange lin... | ||
46 | 0.954507 | \documentclass[tikz]{standalone}
\usepackage{tikz}
\usepackage{pgfplots}
\usetikzlibrary{arrows.meta, decorations.pathreplacing, positioning, shapes, calc}
\begin{document}
\begin{tikzpicture}[scale=0.5]
\draw (-2.75,0) rectangle (-0.75,2);
\node at (-1.75, 1) {$JW_n$};
\draw (0.75,0) rectangle (2.... | \documentclass[tikz]{standalone}
\usepackage[utf8]{inputenc}
\usepackage[pdftex,dvipsnames]{xcolor}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage[backgroundcolor=lime,linecolor=lime,bordercolor=white,figcolor=white]{todonotes}
\usepackage{tikz}
\usetikzlibrary{shapes,arrows,calc}
\usetikzlibrary{decorations.pa... | Remove the right-hand $JW_n$ box, its external input/output lines, and the far-right vertical ellipsis. Remove the two horizontal lines. Move the loop from the gap between the boxes to a position beneath the remaining box, where it connects around the lower-left and lower-right sides. Increase the height of the remaini... | The single block labeled '$JW_n$' is duplicated to create a second identical block to its right, forming a two-block horizontal chain. The bottom loop connection is split: the original single loop is replaced by two smaller loops, one connecting the bottom of the left block to the bottom line, and another connecting th... | ||
47 | 0.95899 | \documentclass[tikz]{standalone}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{amsmath,amsthm,enumerate}
\usepackage{amssymb}
\usepackage{xcolor}
\usepackage{tikz,pgf}
\usetikzlibrary{positioning}
\usetikzlibrary{shapes.geometric}
\usetikzlibrary{arrows}
\usetikzlibrary{decorations.pathreplacing,cal... | \documentclass[tikz]{standalone}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{amsmath,amsthm,enumerate}
\usepackage{amssymb}
\usepackage{xcolor}
\usepackage{tikz,pgf}
\usetikzlibrary{positioning}
\usetikzlibrary{shapes.geometric}
\usetikzlibrary{arrows}
\usetikzlibrary{decorations.pathreplacing,cal... | The black line connecting the top vertex of the left triangle ($r=r'$) to the top vertex of the right triangle ($r''$) is overlaid with a thick red line. A thick red curved line is added inside the left triangle ($T'$), connecting the top vertex ($r=r'$) to the bottom edge and back to the top vertex, forming a lens-lik... | The thick red line connecting the top vertex of the left triangle ($r=r'$) to the top vertex of the right triangle ($r''$) has been removed. The thick red curved line (lens shape) inside the left triangle ($T'$) has been removed. The thick red vertical line segment inside the right triangle ($T''$) has been removed. | ||
48 | 0.955786 | \documentclass[tikz]{standalone}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz-cd}
\usepackage{color}
\usepackage[bookmarks=false,colorlinks=true,hyperindex,citecolor=green,linkcolor=red]{hyperref}
\usepackage{tikz}
\usetikzlibrary{arrows.meta,matrix}
\begin{document}
\begin{tikzpicture}[descr/.style={f... | \documentclass[tikz]{standalone}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz-cd}
\usepackage{color}
\usepackage[bookmarks=false,colorlinks=true,hyperindex,citecolor=green,linkcolor=red]{hyperref}
\usepackage{tikz}
\usetikzlibrary{arrows.meta,matrix}
\begin{document}
\begin{tikzpicture}[descr/.style={f... | In the first row, the label in the fourth column is changed from '$\Gamma_I(R/J)$' to '$\Gamma_{yR\cap I_0}(D_{I_0}(M)_y)$'. In the second row, the label in the second column is changed from '$H^1_I(J)$' to '$0$'. In the second row, the label in the fourth column is changed from '$H^1_I(R/J)$' to '$H^1_{yR\cap I_0}(D_{... | In the first row, the label in the fourth column is changed from '\Gamma_{yR\cap I_0}(D_{I_0}(M)_y)' to '\Gamma_I(R/J)'. In the second row, the label in the second column is changed from '0' to 'H^1_I(J)'. In the second row, the label in the fourth column is changed from 'H^1_{yR\cap I_0}(D_{I_0}(M)_y)' to 'H^1_I(R/J)'... | ||
49 | 0.950738 | \documentclass[tikz]{standalone}
\usepackage{enumitem,caption,amssymb,tabularx,enumitem,multirow,tikz,pgfplots,comment,amsmath,longtable,amsfonts,graphicx}
\begin{document}
\begin{tikzpicture}
\begin{axis}[
xlabel = Number of users,
ylabel = \footnotesize{Average utility of users},
title = {$EF_{u}^{c}(t)= 5... | \documentclass[tikz]{standalone}
\usepackage{tikz}
\usepackage{pgfplots}
\usetikzlibrary{arrows.meta, decorations.pathreplacing, positioning, shapes, calc}
\begin{document}
\begin{tikzpicture}
\begin{axis}[
xlabel = Number of users,
ylabel = Utility of CSP,
title = {EF$_{u}^{c}(t)= 30\%$ of SF$_{u}^{c}(t)$},... | The plot title is changed from '$EF_{u}^{c}(t)= 50\% \text{ of } SF_{u}^{c}(t)$' to 'EF$_{u}^{c}(t)= 30\%$ of SF$_{u}^{c}(t)$'. The y-axis label is changed from 'Average utility of users' to 'Utility of CSP'. The data series are completely replaced. The original curves, which were nearly flat and ranged between y=1.99 ... | The title text is changed from 'EF$_{u}^{c}(t)= 30\%$ of SF$_{u}^{c}(t)$' to '$EF_{u}^{c}(t)= 50\% \text{ of } SF_{u}^{c}(t)$'. The y-axis label is changed from 'Utility of CSP' to 'Average utility of users'. The plotted data series are completely replaced. The original five linearly increasing curves (ranging from y=0... | ||
50 | 0.950008 | \documentclass[tikz]{standalone}
\usepackage{tikz}
\usetikzlibrary{cd}
\usepackage{tikz-cd}
\usetikzlibrary{arrows.meta}
\begin{document}
\begin{tikzcd}
\mathcal{C}\ar[rr,"F"] \ar[dr,"L"'] & & \mathcal{D}
\\
& \mathcal{C}' \ar[ur,"Lan(F)"'] &
\end{tikzcd}
\end{document} | \documentclass[tikz]{standalone}
\usepackage{tikz-cd}
\usetikzlibrary{arrows.meta}
\usepackage{amsmath}
\usepackage{amssymb}
\begin{document}
\begin{tikzcd}
\mathcal{C} \arrow[r,"F"] \arrow[d,"L"] & \mathcal{D} \arrow[d,"L'"]\\
\mathcal{C}[W^{-1}] \arrow[r,dotted] & \mathcal{D}[V^{-1}].
\end{tikzcd}
\end{docume... | The diagram structure is changed from a triangle (with a bottom node C' and diagonal arrows) to a commutative square (with four nodes at the corners and orthogonal arrows). The label of the bottom-left node is changed from 'C\'' to 'C[W^{-1}]'. A new bottom-right node is added with the label 'D[V^{-1}]'. The arrow from... | The diagram structure is changed from a commutative square (2x2 grid) to a triangle (3 nodes). The bottom-left node is moved to the bottom-center position, and the bottom-right node is removed. The label of the bottom-left node is changed from '$\mathcal{C}[W^{-1}]$' to '$\mathcal{C}'$'. The vertical arrow on the right... | ||
51 | 0.951002 | \documentclass[tikz]{standalone}
\usepackage[T1]{fontenc}
\usepackage[latin9]{inputenc}
\usepackage{color}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{color}
\usepackage{tikz-cd}
\usetikzlibrary{arrows.meta}
\begin{document}
\begin{tikzcd}
\mathbf{F} \arrow{r}{\boldsymbol{\varphi}^{k}} \arrow[swap]{d}{\pi}... | \documentclass[tikz]{standalone}
\usepackage[T1]{fontenc}
\usepackage[latin9]{inputenc}
\usepackage{color}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{color}
\usepackage{tikz-cd}
\usetikzlibrary{arrows.meta}
\begin{document}
\begin{tikzcd}
\mathbf{M} \arrow{r}{\boldsymbol{\theta}} \arrow[swap]{d}{\pi} &
\b... | Change the top-left node label from bold 'F' (\mathbf{F}) to bold 'M' (\mathbf{M}). Change the label on the top horizontal arrow from bold phi superscript k (\boldsymbol{\varphi}^{k}) to bold theta (\boldsymbol{\theta}). Change the top-right node label from bold phi superscript k of bold F (\boldsymbol{\varphi}^{k}(\ma... | The label in the top-left corner is changed from 'M' to 'F'. The label on the top horizontal arrow is changed from 'theta' to 'varphi^k'. The label in the top-right corner is changed from 'theta(M)' to 'varphi^k(F)'. The label on the right vertical arrow is changed from 'pi_1' to 'theta_k'. The label in the bottom-left... | ||
52 | 0.961718 | \documentclass[tikz]{standalone}
\usepackage{tikz}
\usepackage{pgfplots}
\usetikzlibrary{arrows.meta, decorations.pathreplacing, positioning, shapes, calc}
\usepackage{acronym}
\begin{document}
\begin{tikzpicture}
[>=stealth,
shorten >=1pt,
node distance=4cm,
on grid,
auto,
every state/.style={draw... | \documentclass[tikz]{standalone}
\usepackage{amsmath, amssymb, mathtools}
\usepackage{xcolor}
\usepackage{tikz}
\usetikzlibrary{automata, positioning}
\usepackage{acronym}
\begin{document}
\begin{tikzpicture}
[>=stealth,
shorten >=1pt,
node distance=4cm,
on grid,
auto,
every state/.style={draw=blac... | The text labels 'KKT', 'PDG', 'SDG', 'Optimality gap in terms of ||x - x*||', and 'Optimality gap' are now enclosed in circular shapes with a light blue fill and a thick black border, whereas they were previously just plain text. | The circular shapes (nodes) containing the text labels 'KKT', 'SDG', 'PDG', 'Optimality gap in terms of ...', and 'Optimality gap' have been removed. The text labels remain in their original positions but are no longer enclosed in circles or filled with a light blue background. | ||
53 | 0.966766 | \documentclass[tikz]{standalone}
\usetikzlibrary{cd}
\begin{document}
\begin{tikzcd}
\cdots \arrow[r] & 0 \arrow[r] \arrow[d] & M \arrow[r, "\mathrm{id}_M"] \arrow[d, "f_{00}"] & M \arrow[r] \arrow[d, "d^0_Jf_{00}"] & 0 \arrow[r] & \cdots \\
\cdots \arrow[r] & 0 \arrow[r] & J^0 \arrow[r, "d^0_J"]... | \documentclass[tikz]{standalone}
\usetikzlibrary{cd}
\begin{document}
\begin{tikzcd}
F_i M \arrow[d, "\hat f\: ="] & \cdots \arrow[r] & 0 \arrow[r] \arrow[d] & M \arrow[r, "\mathrm{id}_M"] \arrow[d, "f_0"] & M \arrow[r] \arrow[d, "f_1"] & 0 \arrow[r] & \cdots \\
\exp(I,d_I) ... | Add a new column to the far left of the diagram containing the text 'F_i M' in the top row and '\exp(I,d_I)' in the bottom row. Add a downward arrow from the new 'F_i M' node to the '\exp(I,d_I)' node, labeled with '\hat f\: ='. Change the label of the downward arrow from the first 'M' node to 'f_0' (was 'f_{00}'). Cha... | The leftmost column containing the text 'F_i M', the downward arrow labeled '\hat f\: =', and the text '\exp(I,d_I)' is removed from the diagram. In the bottom row, the sequence of 'I' nodes and 'd_I' arrows is replaced by a sequence starting with '0', followed by 'J^0' and 'J^1' nodes, and ending with '0'. The arrow b... | ||
54 | 0.965924 | \documentclass[tikz]{standalone}
\usepackage{tikz}
\usetikzlibrary{calc}
\usetikzlibrary{matrix}
\usetikzlibrary{positioning}
\usepackage{natbib}
\usetikzlibrary{arrows.meta}
\begin{document}
\tikzset{
every odd row/.style={align=right},
every even row/.style={align=left},
}
\begin{tikzpicture}
\def\myrowhead{{"A","B",... | \documentclass[tikz]{standalone}
\usepackage{tikz}
\usetikzlibrary{calc,matrix,positioning}
\usetikzlibrary{arrows.meta}
\begin{document}
\begin{tikzpicture}
\tikzset{
every odd row/.style={align=right},
every even row/.style={align=left},
row sep=0.0cm, column sep=0.0cm
}
\matrix[matrix of math nodes, draw, inner sep=... | The internal grid lines of the matrix are changed to solid lines that form a complete 3x3 grid structure. | The internal grid lines (vertical and horizontal dividers) separating the cells within the main matrix are removed | ||
55 | 0.963363 | \documentclass[tikz]{standalone}
\usepackage{color,float}
\usepackage{tikz,tikz-cd}
\begin{document}
\begin{tikzpicture}[
<-,
thick,
main node/.style={circle, white,fill=none, draw},
]
\newcommand*{\MainNum}{7}
\newcommand*{\MainRadius}{1.5cm}
\newcommand*{\MainStartAngle}{90}
\path
(0, 0) coordina... | \documentclass[tikz]{standalone}
\usepackage{color,float}
\usepackage{tikz,tikz-cd}
\begin{document}
\begin{tikzpicture}[
->,
thick,
main node/.style={circle, white,fill=none, draw},
]
\newcommand*{\MainNum}{5}
\newcommand*{\MainRadius}{1.5cm}
\newcommand*{\MainStartAngle}{90}
\path
(0, 0) coordina... | The circular diagram is restructured from a 7-node cycle to a 5-node cycle, changing the number of elements and their relative spacing around the circle. The labels on the nodes are completely replaced. The original sequence of single digits (2, 0, 0, 3, 1, 0, 2) is replaced with a new sequence of mathematical symbols ... | The circular diagram structure is changed from a 5-node cycle to a 7-node cycle, increasing the number of positions around the circle. The text labels at the nodes are completely replaced. The original labels (empty set, 3,1,1, empty set, 4,2,2, 3,2,1) are removed and replaced with a new sequence of single digits (2, 0... | ||
56 | 0.967449 | \documentclass[tikz]{standalone}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{color}
\usepackage{tikz}
\usepackage{pgfplots}
\usetikzlibrary{}
\tikzset{default node/.style={}}
\begin{document}
\begin{tikzpicture}
\node[] at (1,3.25) {S};
\node[] at (4,3.25) {T};
\node[default node](1) at(1,2.25) {$1$}... | \documentclass[tikz]{standalone}
\usepackage{tikz}
\usepackage{pgfplots}
\usetikzlibrary{arrows.meta, decorations.pathreplacing, positioning, shapes, calc}
\begin{document}
\begin{tikzpicture}
\node[] at (1,3.25) {S};
\node[] at (4,3.25) {T};
\node[circle, draw](1) at(1,2.25) {$1$};
\node[circle, draw](2) at... | The four nodes containing the numbers '1' and '3' on both the left (S) and right (T) sides have been modified to include a circular border around them. | The circular outlines surrounding the numbers 1 and 3 in both the S and T columns have been removed, leaving only the text labels. | ||
57 | 0.966963 | \documentclass[tikz]{standalone}
\usepackage[T1]{fontenc}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usepackage{xcolor}
\usetikzlibrary{arrows.meta,shapes,bending}
\begin{document}
\begin{tikzpicture}[scale=2]
\node at (-0.3,0) [draw, circle] (0) {\phantom{$p_1$}};
\node at (1,0) [draw, circle] (... | \documentclass[tikz]{standalone}
\usepackage[T1]{fontenc}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usepackage{xcolor}
\usetikzlibrary{arrows.meta,shapes}
\begin{document}
\begin{tikzpicture}[scale=1.8]
\node at (-0.3,0) [draw, circle] (0) {$p_1$};
\node at (1,0) [draw, circle] (1) {\phantom{$p_... | Change the title label from '$\mathcal{M}^*$:' to '$\mathcal{M}:$'. Change the graph topology from a 2x2 grid with a tail to a linear chain of three nodes. The nodes are now arranged horizontally in a single row. Update the internal node labels: the left node is now '$p_1$', the middle node is empty, and the right node... | The label on the left changes from '$\mathcal{M}:$' to '$\mathcal{M}^*:$'. The linear chain of three nodes is replaced by a more complex graph structure. The original left node ($q_0$) remains but is now empty. The original middle node ($q_1$) is now labeled $p_3$. The original right node ($q_2$) is now labeled $p_1$. ... | ||
58 | 0.965833 | \documentclass[tikz]{standalone}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{color}
\usepackage{tikz}
\usetikzlibrary{arrows.meta,shapes}
\begin{document}
\begin{tikzpicture}
\coordinate (Origin) at (0,0);
\coordinate (XAxisMin) at (0,0);
\coordinate (XAxisMax) at (8,0);
\coordinate (YAxi... | \documentclass[tikz]{standalone}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{color}
\usepackage{tikz}
\usetikzlibrary{arrows.meta,shapes}
\begin{document}
\begin{tikzpicture}
\coordinate (Origin) at (0,0);
\coordinate (XAxisMin) at (0,0);
\coordinate (XAxisMax) at (8,0);
\coordinate (YAxi... | All black data points (scatter points) are removed from the plot. The red line path is modified to connect a new set of points: (0,0) to (2,-2) to (3,-2.5) to (4,-2) to (5,-1.5) to (6,-1) to (7,0). The colors of the data points on the red line are changed: the point at x=1 is now blue, the point at x=2 is red, the poin... | The vertical axis (ln(vol)) is extended downwards to accommodate a lower range of values, shifting the visible plot area down. The red line plot and its associated data points are modified. The line now connects points at x=0, 1, 3, 4, 5, and 7. The y-values of these points are changed, creating a deeper 'V' shape with... | ||
59 | 0.961223 | \documentclass[tikz]{standalone}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage[T1]{fontenc}
\usepackage{color,soul}
\usepackage{tikz}
\usetikzlibrary{arrows.meta}
\begin{document}
\begin{tikzpicture}[scale=0.5]
\draw [very thin] (0,0)--(8,0) (0,1)--(8,1) (0,2)--(8,2) (0,3)--(8,3) (0,4)--(8,4)
(0,0)--(0,4) (1... | \documentclass[tikz]{standalone}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage[T1]{fontenc}
\usepackage{color,soul}
\usepackage{tikz}
\usetikzlibrary{arrows.meta}
\begin{document}
\begin{tikzpicture}[scale=0.5]
\draw [very thin] (0,0)--(6,0) (0,1)--(6,1) (0,2)--(6,2) (0,3)--(6,3) (0,4)--(6,4) (0,5)--(6,5) (0... | The grid dimensions are changed from a wide rectangle (8 units wide by 4 units high) to a tall rectangle (6 units wide by 8 units high). The blue path is redrawn to follow a new trajectory: it now starts at the bottom-left, goes up 3 units, right 1, up 2, right 2, up 2, right 2, and up 1 to the top edge, instead of the... | The grid dimensions are changed from a 6x8 grid (6 columns, 8 rows) to an 8x4 grid (8 columns, 4 rows). The blue path is redrawn to follow a new trajectory: starting from the bottom-left, it goes up 1 unit, right 2 units, up 1 unit, right 1 unit, up 1 unit, right 3 units, up 1 unit, and right 1 unit. The set of 'x' mar... | ||
60 | 0.963826 | \documentclass[tikz]{standalone}
\usepackage{color}
\usepackage{pgfplots}
\usepackage{tikz}
\usepackage{xcolor}
\usetikzlibrary{arrows.meta}
\begin{document}
\begin{tikzpicture}
\small
\begin{axis}[
xbar, xmin=0,
width=8cm, height=3.0cm, enlarge y limits=0.9,
symbolic y coords={Not Available, Ava... | \documentclass[tikz]{standalone}
\usepackage{color}
\usepackage{pgfplots}
\usepackage{tikz}
\usepackage{xcolor}
\usetikzlibrary{arrows.meta}
\begin{document}
\begin{tikzpicture}
\small
\begin{axis}[
xbar, xmin=0,
width=8cm, height=4.0cm, enlarge y limits=0.9,
symbolic y coords={Private, Public, P... | The data categories and their corresponding values have been completely replaced. The original categories 'Not Available' (value 263) and 'Available' (value 4) are removed and replaced with 'Private' (value 200), 'Public' (value 57), and 'Private+Public' (value 10). The height of the plot area is increased to accommoda... | The data categories and their corresponding values have been completely replaced. The original three categories ('Private' with value 200, 'Public' with value 57, 'Private+Public' with value 10) are removed and replaced with two new categories: 'Not Available' with value 263 and 'Available' with value 4. The height of ... | ||
61 | 0.962645 | \documentclass[tikz]{standalone}
\usepackage{amsmath}
\usepackage{color}
\usepackage{tcolorbox}
\usepackage{tikz}
\usetikzlibrary{shapes,snakes, positioning}
\usetikzlibrary{positioning}
\usetikzlibrary{arrows.meta,decorations.pathmorphing}
\begin{document}
\begin{tikzpicture}
\node (112) at (1,0) {$\{a,b,b\}$};
... | \documentclass[tikz]{standalone}
\usepackage{amsmath}
\usepackage{color}
\usepackage{tcolorbox}
\usepackage{tikz}
\usetikzlibrary{shapes,snakes, positioning}
\usetikzlibrary{positioning}
\usetikzlibrary{arrows.meta,decorations.pathmorphing}
\begin{document}
\begin{tikzpicture}
\node (abc) at (1,0) {$\{a,b,c\}$};
... | The label at the top of the diagram is changed from '$\{a,b,b\}$' to '$\{a,b,c\}$'. The label at the middle-right position is changed from '$\{b,b\}$' to '$\{b,c\}$'. A new node labeled '$\{a,c\}$' is added in the middle row, positioned between '$\{a,b\}$' and '$\{b,c\}$'. A new node labeled '$\{c\}$' is added in the l... | The label at the top of the diagram is changed from '{a,b,c}' to '{a,b,b}'. The node labeled '{a,c}' and its associated incoming arrows from '{a}' and '{c}' are removed from the diagram. The node labeled '{b,c}' and its associated incoming arrows from '{b}' and '{c}' are removed from the diagram. The node labeled '{c}'... | ||
62 | 0.960938 | \documentclass[tikz]{standalone}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{xcolor}
\usepackage{tikz}
\usepackage{tikz-feynhand}
\begin{document}
\begin{tikzpicture}[scale=0.85]
\begin{feynhand}
\vertex [particle] (i1) at (-2.5,1.25) {};
\vertex [particle] (i2) at (-2.5,-1.25) {};
\vertex [part... | \documentclass[tikz]{standalone}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{xcolor}
\usepackage{tikz}
\usepackage{tikz-feynhand}
\begin{document}
\begin{tikzpicture}[scale=0.85]
\begin{feynhand}
\vertex [particle] (i1) at (-2.5,1.25) {};
\vertex [particle] (i2) at (-2.5,-1.25) {};
\vertex [part... | Change the line style of the two incoming particles on the far left from straight solid lines (fermions) to curly wavy lines (gluons). Change the line style of the internal propagator connecting the first and second vertices (originally labeled $Z'$) from a wavy line (boson) to a curly wavy line (gluon). Remove the tex... | Change the style of the two incoming lines on the far left from wavy (gluon) to straight with arrowheads (fermion/antifermion). Change the style of the internal horizontal propagator connecting the first and second vertices from wavy (gluon) to wavy (boson). Add the label '$Z^{\prime}$' to the internal horizontal propa... | ||
63 | 0.962977 | \documentclass[tikz]{standalone}
\usepackage{amsmath,amsthm}
\usepackage{graphicx,epsfig,caption,minibox,multirow,makecell,tikz-cd,xcolor}
\usepackage{pgfplots}
\usetikzlibrary{decorations.markings}
\usetikzlibrary{calc}
\usepackage[utf8]{inputenc}
\usetikzlibrary{arrows}
\usepackage{amssymb}
\tikzset{fontscale/.style... | \documentclass[tikz]{standalone}
\usepackage{amsmath,amsthm}
\usepackage{graphicx,epsfig,caption,minibox,multirow,makecell,tikz-cd,xcolor}
\usepackage{pgfplots}
\tikzset{fontscale/.style = {font=\relsize{#1}}}
\usetikzlibrary{decorations.markings}
\usetikzlibrary{calc}
\usepackage[utf8]{inputenc}
\usetikzlibrary{arrow... | The fill color of all circular nodes (a, b, c) is changed from light blue to light red. The node labeled 'd' and its connecting edges are removed from the graph. The position of node 'c' is moved from the bottom center to the right side, forming a triangle with nodes 'a' and 'b'. The weight label on the edge connecting... | The fill color of all circular nodes (a, b, c) is changed from light red to light blue. A new circular node labeled 'd' is added to the graph, positioned to the right of the existing nodes. The position of node 'c' is moved from the far right to a lower central position, forming a quadrilateral shape with the other nod... | ||
64 | 0.960921 | \documentclass[tikz]{standalone}
\usepackage{amsmath,amstext,amsthm,a4,amssymb,amscd}
\usepackage{tikz}
\usetikzlibrary{matrix,arrows,decorations.pathmorphing}
\usetikzlibrary{arrows.meta}
\begin{document}
\begin{tikzpicture}[>=stealth]
\draw[->][ -triangle 45] (-2,0) -- (3.5,0);
\draw[->][ -triangle 45] (0,-2) -- (... | \documentclass[tikz]{standalone}
\usepackage{amsmath,amstext,amsthm,a4,amssymb,amscd}
\usepackage{tikz}
\usetikzlibrary{matrix,arrows,decorations.pathmorphing}
\usetikzlibrary{arrows.meta}
\begin{document}
\begin{tikzpicture}[>=stealth]
\draw[->][ -triangle 45] (-2,0) -- (5.5,0);
\draw[->][ -triangle 45] (0,-2) -- (... | The rectangular path is shifted to the right. The vertical segment moves from x=-1 to x=2, and the horizontal segments extend further to the right (ending near x=5 instead of x=3). An arrowhead is added to the top vertical segment pointing down. The label '0' at the origin is replaced with 'O'. The tick labels '1', '-1... | The rectangular path is moved from the right side of the y-axis to the left side. The vertical segment is now at x=-1. The label '$c_1$' is removed. The label 'O' at the origin is replaced with '0'. Numerical tick labels are added to the axes: '$1$' and '$-1$' on the y-axis, and '$-1$' on the x-axis. | ||
65 | 0.967453 | \documentclass[tikz]{standalone}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{shapes,matrix}
\tikzset{>=latex}
\tikzset{baseline=(A.base)}
\tikzset{flavor/.style={draw}}
\tikzset{gauge/.style={draw,circle,inner sep=2pt}}
\tikzset{T/.style={draw,shape=isosceles triangle,isosceles triangle apex angle=60,inner ... | \documentclass[tikz]{standalone}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{shapes,matrix}
\tikzset{>=latex}
\tikzset{baseline=(A.base)}
\tikzset{flavor/.style={draw}}
\tikzset{gauge/.style={draw,circle,inner sep=2pt}}
\tikzset{T/.style={draw,shape=isosceles triangle,isosceles triangle apex angle=60,inner ... | The labels on the two square nodes on the far right are changed from '2' to 'k'. The label inside the rightmost triangle is changed from '$S_2$' to '$\mathcal{T}_k$'. The square node labeled '1' and the vertical line connecting it to the central circle '$2_v$' are removed. The label inside the leftmost triangle is chan... | The label inside the rightmost triangular node is changed from '$\mathcal{T}_k$' to '$S_2$'. The labels inside the two square nodes on the far right are changed from '$k$' to '$2$'. The label inside the leftmost triangular node is changed from '$\mathcal{T}_2$' to '$S_2$'. The edge label '$[k-2,1^2]$' located above the... | ||
66 | 0.963723 | \documentclass[tikz]{standalone}
\usepackage[cmex10]{amsmath}
\usepackage{amssymb}
\usepackage{xcolor}
\usepackage{amsmath,epsfig}
\usepackage{amsmath,epsfig,amssymb,mathrsfs,psfrag,epsf,enumerate,bm,color}
\usepackage{color}
\usepackage{tikz}
\usepackage{pgfplots}
\usetikzlibrary{shapes,arrows,automata,positioning}
... | \documentclass[tikz]{standalone}
\usepackage[cmex10]{amsmath}
\usepackage{amssymb}
\usepackage{xcolor}
\usepackage{amsmath,epsfig}
\usepackage{amsmath,epsfig,amssymb,mathrsfs,psfrag,epsf,enumerate,bm,color}
\usepackage{color}
\usepackage{tikz}
\usepackage{pgfplots}
\usetikzlibrary{shapes,arrows,automata,positioning}
... | The y-axis scale and the plotted data values have been completely changed. The y-axis range is now 0 to 70 (previously 2 to 3.4). The 'GreedyMRC' data points now show a much steeper and linear increase (e.g., from ~11.6 to ~60.8), and the 'MC-MRC' data points also show a linear increase with higher values (e.g., from ~... | The y-axis scale and the plotted data values have been significantly changed. The y-axis range was reduced from 0-70 to 2-3.4 with ticks each 0.2 steps. Consequently, the data points for both series were updated to reflect much lower values. The blue square rises exponentially from 2.1 at x=10 to 3.3 at x=25. The red c... | ||
67 | 0.960018 | \documentclass[tikz]{standalone}
\usepackage{color}
\usepackage{amsmath,amsfonts,wasysym,amsthm,amssymb,}
\usepackage{tikz}
\usepackage{tikz-3dplot}
\usetikzlibrary{positioning}
\usetikzlibrary{shapes}
\usetikzlibrary{plotmarks}
\usetikzlibrary{shapes.geometric, calc}
\usetikzlibrary{arrows.meta}
\begin{document}
\b... | \documentclass[tikz]{standalone}
\usepackage{color}
\usepackage{amsmath,amsfonts,wasysym,amsthm,amssymb}
\usepackage{tikz}
\usepackage{tikz-3dplot}
\usetikzlibrary{positioning}
\usetikzlibrary{shapes}
\usetikzlibrary{plotmarks}
\usetikzlibrary{shapes.geometric, calc}
\usetikzlibrary{arrows.meta}
\begin{document}
\beg... | The dashed circle centered at the origin (O) is removed. The small solid black dot at the center point (O) is removed. A small solid black dot surrounded by a larger black circle outline is added to each of the five vertices of the pentagon. | The five small circles (each consisting of a black dot and a surrounding ring) located at the vertices of the pentagon are removed. A dashed circle is added, centered at the intersection of the internal dashed lines. A small solid black dot is added at the center of the pentagon (the center of the new dashed circle). | ||
68 | 0.961228 | \documentclass[tikz]{standalone}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\tikzstyle{every node}=[font=\scriptsize]
\usetikzlibrary{calc}
\usetikzlibrary{arrows.meta,bending}
\begin{document}
\begin{tikzpicture}[shorten >=1pt,auto,node distance=1.2cm,
main node/.style={... | \documentclass[tikz]{standalone}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\tikzstyle{every node}=[font=\scriptsize]
\usetikzlibrary{calc}
\usetikzlibrary{arrows.meta,bending}
\begin{document}
\begin{tikzpicture}[shorten >=1pt,auto,node distance=1.2cm,
main node/.style... | Remove the top 'GCCP' node and its vertical connection to 'GCCAC'. Change 'GCCAC' to the math-sans-serif label 'GAC'. Change 'COGC small h' to the math-sans-serif label 'GFOLT'. Replace 'GCCAC ∩ COGC small h' with the math-sans-serif label 'GFOEQ'. Replace the three-line 'COGC sh / Degeneracy / Bij. Or-Pointer No.' lab... | Remove the top node 'GCCP' and its vertical connector to 'GCCAC'. Relabel the upper hierarchy: 'GCCAC' becomes 'GAC', 'COGC small h' becomes 'GFOLT', and 'GCCAC ∩ COGC small h' becomes 'GFOEQ'. Rewire the upper hierarchy: remove the GAC–GFOEQ connection, add GAC–GFOLT, retain GFOLT–GFOEQ and the GFOEQ links to both poi... | ||
69 | 0.96801 | \documentclass[tikz]{standalone}
\usepackage{amsmath,amsopn,amssymb,amsfonts}
\usepackage{tikz}
\usetikzlibrary{shapes,arrows,patterns}
\usepackage[colorinlistoftodos,bordercolor=purple,backgroundcolor=purple!15,textsize=scriptsize]{todonotes}
\usetikzlibrary{arrows.meta}
\begin{document}
\begin{tikzpicture}[scale=1... | \documentclass[tikz]{standalone}
\usepackage{amsmath,amsopn,amssymb,amsfonts}
\usepackage{tikz}
\usetikzlibrary{shapes,arrows,patterns}
\usepackage[colorinlistoftodos,bordercolor=purple,backgroundcolor=purple!15,textsize=scriptsize]{todonotes}
\usetikzlibrary{arrows.meta}
\begin{document}
\begin{tikzpicture}[scale=1... | The mathematical label in the bottom-left corner is changed from '$C_{-10^{-1}}$' to '$C_{10^{-1}}$'. The radii of the three main circles (the central blue one and the two dashed gray ones) are reduced so that the top and bottom circle outlines now touch. | The radii of all circles (the two dashed gray circles and the three solid blue circles) are increased, making the entire geometric figure larger, resulting in an overlap between top and bottom circles. The mathematical label in the bottom-left corner is changed from '$C_{10^{-1}}$' to '$C_{-10^{-1}}$'. A blue outline a... | ||
70 | 0.969771 | \documentclass[tikz]{standalone}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{xcolor}
\usepackage{pgfplots}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{amsmath,amsthm,mathtools}
\usepackage{tcolorbox}
\begin{document}
\begin{tikzpicture}
\begin{axis}[
... | \documentclass[tikz]{standalone}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{xcolor}
\usepackage{pgfplots}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{amsmath,amsthm,mathtools}
\usepackage{tcolorbox}
\begin{document}
\begin{tikzpicture}
\begin{axis}[
... | The chart title is changed from 'MMLU_Med' to 'MedQA'. A vertical y-axis label 'Accuracy (%)' is added to the left side of the chart. The y-axis scale is changed from a range of 74 to 88 (ticks at 74, 78, 82, 86) to a range of 60 to 76 (ticks at 60, 65, 70, 75). The data values for the bars are updated: the bar at x=0 ... | The chart title is changed from 'MedQA' to 'MMLU_Med'. The Y-axis label 'Accuracy (%)' is removed. The Y-axis scale is shifted upwards. The range changes from 60-76 to 74-88, and the tick labels change from {60, 65, 70, 75} to {74, 78, 82, 86}. The data values for the bars are updated to higher values: the bar at x=0 c... | ||
71 | 0.967545 | \documentclass[tikz]{standalone}
\usepackage{amsmath,amssymb,amsfonts,amssymb}
\usepackage{tikz}
\usepackage[colorinlistoftodos]{todonotes}
\usetikzlibrary{decorations.pathmorphing, calc}
\tikzset{snake it/.style={decorate, decoration=snake}}
\usetikzlibrary{arrows.meta,shapes}
\begin{document}
\begin{tikzpicture}
... | \documentclass[tikz]{standalone}
\usepackage{amsmath,amssymb,amsfonts,amssymb}
\usepackage{tikz}
\usepackage[colorinlistoftodos]{todonotes}
\usetikzlibrary{decorations.pathmorphing, calc}
\tikzset{snake it/.style={decorate, decoration=snake}}
\usetikzlibrary{arrows.meta,shapes}
\begin{document}
\begin{tikzpicture}
... | The gray horizontal bar at the bottom of the figure and the straight horizontal black lines below it are removed. A new set of concentric black arcs is added to the bottom half of the figure, mirroring the arcs in the top half to create a symmetric hourglass-like pattern. The yellow wavy lines are extended to span the ... | The set of concentric black arcs located in lower quadrant that mirror the arcs in the top have been removed. Its corresponding yellow wavy lines at the bottom have also been removed. Two gray horizontal rectangular bars have been added below the black arcs, creating a gap in the center. A set of six horizontal black l... | ||
72 | 0.961992 | \documentclass[tikz]{standalone}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage[dvipsnames]{xcolor}
\usepackage[colorlinks,citecolor=darkgreen,linkcolor=darkblue,urlcolor=darkred]{hyperref}
\usepackage{tikz}
\usepackage{tikz-cd}
\usetikzlibrary{arrows.meta,bending}
\begin{document}
\begin{tikzcd}
& LF \\
... | \documentclass[tikz]{standalone}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage[dvipsnames]{xcolor}
\usepackage[colorlinks,citecolor=darkgreen,linkcolor=darkblue,urlcolor=darkred]{hyperref}
\usepackage{tikz}
\usepackage{tikz-cd}
\usetikzlibrary{arrows.meta,bending}
\begin{document}
\begin{tikzcd}
& & L \\
... | Remove the node labeled 'LF' at the top center of the diagram. Remove the node labeled 'KF' located below 'LF'. Remove the vertical line connecting 'LF' and 'KF'. Remove the curved line connecting 'F' and 'LF' labeled 'S_3'. Remove the straight diagonal line connecting 'F' and 'KF' labeled '3'. Remove the curved line c... | The label 'K' at the top-left position is changed to 'KF' and moved to the right. A new label 'LF' is added at the top-center position, above 'KF'. A new label 'K' is added at the bottom-right position, below 'L'. 'L' is placed slightly lower to the right of 'KF'. The curved arrow connecting 'K' and 'L' labeled '12' is... | ||
73 | 0.968114 | \documentclass[tikz]{standalone}
\usetikzlibrary{calc,decorations.markings}
\usepackage{tikz}
\usetikzlibrary{arrows.meta,decorations.pathmorphing,shapes}
\begin{document}
\begin{tikzpicture}
\draw [help lines,->] (-3.6,0) -- (3.6,0);
\draw [help lines,->] (0,-3) -- (0,3);
\node at (3.6,-0.4){Re$(\b)$};
\node at (-0... | \documentclass[tikz]{standalone}
\usetikzlibrary{calc,decorations.markings}
\usepackage{tikz}
\usetikzlibrary{arrows.meta,decorations.pathmorphing,shapes}
\begin{document}
\begin{tikzpicture}
\draw [help lines,->] (-3.6,0) -- (3.6,0);
\draw [help lines,->] (0,-3) -- (0,3);
\node at (3.6,-0.4){Re$(\b)$};
\node at (-0... | The three red line segments are shortened. They no longer start from the origin (0,0) but instead start from a new inner radius (at distance 1 from the origin) and extend to the same outer radius (distance 2.5). Three new red dots are added at the new starting points of the red line segments (at distance 1 from the ori... | The three red line segments are changed from being disconnected segments (starting at radius 1 and ending at radius 2.5) to three rays originating from the center (0,0) and extending to radius 2.5. The three red dots located at radius 1 (at angles 0, 120, and -120 degrees) are removed. The four separate blue closed loo... | ||
74 | 0.967349 | \documentclass[tikz]{standalone}
\usepackage{amssymb}
\usepackage[dvipsnames]{xcolor}
\usepackage{tikz-cd}
\usepackage[unicode,colorlinks=true,citecolor=Emerald,linkcolor=Fuchsia]{hyperref}
\usetikzlibrary{arrows.meta}
\begin{document}
\begin{tikzcd}
{[1,n]\setminus \{i\}} \amalg {[1,m]}
\rar{\sigma_1 \amalg \sigma_... | \documentclass[tikz]{standalone}
\usepackage{amssymb}
\usepackage[dvipsnames]{xcolor}
\usepackage{tikz-cd}
\usepackage[unicode,colorlinks=true,citecolor=Emerald,linkcolor=Fuchsia]{hyperref}
\usetikzlibrary{arrows.meta}
\begin{document}
\begin{tikzcd}[column sep=3cm]
{[0,n]\setminus \{i\}} \amalg {[0,m]\setminus \{j\... | The diagram structure is changed from a 3x2 grid (three rows, two columns) to a 2x2 grid (two rows, two columns). The intermediate row of nodes present in the first image is removed. All interval notations are changed from 1-based indexing (e.g., [1, n]) to 0-based indexing (e.g., [0, n]). The top-left node text is cha... | The diagram structure is changed from a 2x2 grid to a 3x2 grid, adding a new intermediate row of nodes between the top and bottom rows. The mathematical expressions in the top-left node are changed from '[0,n] \setminus \{i\} \amalg [0,m] \setminus \{j\}' to '[1,n] \setminus \{i\} \amalg [1,m]'. The mathematical expres... | ||
75 | 0.964193 | \documentclass[tikz]{standalone}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{positioning,arrows,cd}
\usepackage{colortbl}
\begin{document}
\begin{tikzcd}
S^{2m-1} \arrow[r, equal] \arrow[d] & S^{2m-1} \arrow[d]\\
E_{r^m} \arrow[r] \arrow[d] \arrow[dr, phantom, "\scalebox{1.5}{$\lrcorner$}" , very near sta... | \documentclass[tikz]{standalone}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{positioning,arrows,cd}
\usepackage{colortbl}
\begin{document}
\begin{tikzcd}
S^{2m-1} \arrow[r, "\widetilde{f}"] \arrow[d] & S^{2m-1} \arrow[d]\\
E_{i^m} \arrow[r, "f"] \arrow[d] & E_{j^m} \arrow[d]\\
\Sigma \arrow[r, equal] & \... | The label on the top horizontal arrow is changed from a double equals sign (representing an identity map) to the text '\widetilde{f}'. The node label in the middle-left position is changed from 'E_{r^m}' to 'E_{i^m}'. The node label in the middle-right position is changed from 'BSO(2m-1)' to 'E_{j^m}'. A label 'f' is a... | The label on the top horizontal arrow is changed from '$\widetilde{f}$' to a double-line equals sign (representing an identity map). The node label in the middle-left position is changed from '$E_{i^m}$' to '$E_{r^m}$'. The node label in the middle-right position is changed from '$E_{j^m}$' to '$BSO(2m-1)$'. The label ... | ||
76 | 0.967808 | \documentclass[tikz]{standalone}
\usepackage{amsthm,amsmath,amssymb,amsfonts,epic,multirow,ulem}
\usepackage[T1]{fontenc}
\usepackage[dvipsnames,table,xcdraw]{xcolor}
\usepackage{tikz}
\newcommand{\VectCoord}[2]{\mathbf{e}_{#1}^{(#2)}}
\begin{document}
\begin{tikzpicture}
\draw[black,fill] (-1,0) circle [ra... | \documentclass[tikz]{standalone}
\usepackage{amsthm,amsmath,amssymb,amsfonts,epic,multirow,ulem}
\usepackage[T1]{fontenc}
\usepackage[dvipsnames,table,xcdraw]{xcolor}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
\draw[black,fill] (-1,0) circle [radius=0.02];
\filldraw (-1,0) node[anchor=wes... | The equation text '$(\mathbf{e}_x^{(4)})_{m'} = \mathbf{e}_x^{(4)} \cdot \mathbf{e}_x^{(3)} \cdot \mathbf{e}_e^{(2)} \cdot \mathbf{e}_e^{(1)}$' located at the bottom-left of the figure is removed. The labels for the terminal nodes are changed from bold vector notation to standard italic variables: '$\mathbf{e}_x^{(1)}$... | The labels for the terminal nodes are changed from standard italic variables to bold vector notation: '$x_1$' becomes '$\mathbf{e}_x^{(1)}$', '$x_2$' becomes '$\mathbf{e}_x^{(2)}$', '$x_3$' becomes '$\mathbf{e}_x^{(3)}$', and '$x_4$' becomes '$\mathbf{e}_x^{(4)}$'. The labels for the intermediate nodes are changed from... | ||
77 | 0.968285 | \documentclass[tikz]{standalone}
\usepackage[T1]{fontenc}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{xcolor}
\usepackage{tikz}
\usetikzlibrary{calc}
\usetikzlibrary{arrows,automata}
\usetikzlibrary{arrows.meta}
\usetikzlibrary{decorations.pathreplacing, calligraphy}
\usetikzlibrary{decorations.pathmorphing}... | \documentclass[tikz]{standalone}
\usepackage[T1]{fontenc}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{xcolor}
\usepackage{tikz}
\usetikzlibrary{calc}
\usetikzlibrary{arrows,automata}
\usetikzlibrary{arrows.meta}
\usetikzlibrary{decorations.pathreplacing, calligraphy}
\usetikzlibrary{decorations.pathmorphing}... | The number of nodes on the bottom line (N) is increased from 2 to 4. The original nodes labeled 'u' and 'v' are replaced by four nodes labeled 'v_A', 'v_B', 'v_C', and 'v_D'. The connectivity of the purple lines is completely restructured. The new lines connect the bottom edges of the top rectangles to the four new nod... | Remove the two black dots and their labels ($x_1'$ and $x_1$) and connections from the first rectangle in the top row (labeled $C_1$). Remove the single black dot and its connection from the third rectangle in the top row. Change the number of black dots in the bottom row from four to two ($u$ and $v$). The dots are no... | ||
78 | 0.9625 | \documentclass[tikz]{standalone}
\usepackage[utf8]{inputenc}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{arrows,automata}
\begin{document}
\begin{tikzpicture}[initial text=,auto,inner sep=1pt]
\tikzstyle{every state}=[->,>=stealth',semithick,minimum size=0.4]
\begin{scope}
... | \documentclass[tikz]{standalone}
\usepackage[utf8]{inputenc}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{arrows,automata}
\begin{document}
\begin{tikzpicture}[initial text=,auto,inner sep=1pt]
\tikzstyle{every state}=[->,>=stealth',semithick,minimum size=0.4]
\begin{scope}
... | In the leftmost diagram, the state labeled '1' is changed from a single circle to a double circle (accepting state). In the leftmost diagram, an arrow to the the state labeled '2' pointing downward is added. The self-loop on state '2' labeled '1' in the leftmost diagram is removed. In the middle diagram, the state labe... | In the first automaton (leftmost), the initial state arrow is removed from state 2, leaving only state 1 as the initial state. In the first automaton, a self-loop labeled '1' is added to state 2. In the first and second automation, both states labeled '1' are changed from a double circle to a single circle. In the seco... | ||
79 | 0.968642 | \documentclass[tikz]{standalone}
\usepackage{amssymb,amsfonts,amsmath,bbm,mathrsfs,stmaryrd}
\usepackage{xcolor}
\usepackage{tikz}
\usetikzlibrary{arrows,calc,decorations.pathreplacing,decorations.markings,intersections,shapes.geometric,through,fit,shapes.symbols,positioning,decorations.pathmorphing}
\usepackage[amsma... | \documentclass[tikz]{standalone}
\usepackage{amssymb,amsfonts,amsmath,bbm,mathrsfs,stmaryrd}
\usepackage{xcolor}
\usepackage{tikz}
\usetikzlibrary{arrows,calc,decorations.pathreplacing,decorations.markings,intersections,shapes.geometric,through,fit,shapes.symbols,positioning,decorations.pathmorphing}
\usepackage[amsma... | The label of the top intermediate node is changed from '$A \otimes H$' to '$A \otimes Q$'. The label of the rightmost target node is changed from '$A \otimes Q$' to '$A \otimes Q \otimes Q$'. The top intermediate node is moved vertically downwards to be closer to the horizontal center line. A new intermediate node labe... | The diagram structure is changed from a diamond shape (one source, two intermediate nodes, one sink) to a triangle shape (one source, one intermediate node, one sink). The bottom intermediate node and its associated arrows are removed. The label of the top intermediate node is changed from '$A \otimes Q$' to '$A \otime... | ||
80 | 0.969147 | \documentclass[tikz]{standalone}
\usepackage{tikz}
\usepackage{pgfplots}
\usetikzlibrary{arrows.meta, decorations.pathreplacing, positioning, shapes, calc}
\begin{document}
\begin{tikzpicture}[scale=2.5]
\definecolor{dgreen}{rgb}{0.0, 0.5, 0.0}
\begin{scope}[xshift=0cm]
... | \documentclass[tikz]{standalone}
\usepackage{tikz}
\usepackage{pgfplots}
\usetikzlibrary{arrows.meta, decorations.pathreplacing, positioning, shapes, calc}
\begin{document}
\begin{tikzpicture}[scale=2.5]
\definecolor{dgreen}{rgb}{0.0, 0.5, 0.0}
\begin{scope}[xshift=0cm]
... | The labels a, b, e, and R are changed to a', b', e', and R'. A label e is added between e' and p. A new cross mark (×) is added on the the label e. A label a is added between e' and e. A new red curve is added, starting from the label a and curving to the left to end at the new point labeled c on the blue curve. A labe... | The red curve labeled 'R' connecting point 'a' on the vertical line to point 'c' on the left is removed. Both 'a' and 'c' are also removed. The label 'a'' at the top of the blue curve is changed to 'a'. The label 'e'' below the label 'a' at the top of the blue curve is changed to 'e'. The label 'b'' at the bottom of th... | ||
81 | 0.962303 | \documentclass[tikz]{standalone}
\usepackage{amsfonts,amsmath}
\usepackage{color,amssymb,sidenotes}
\usepackage{tikz-cd,amscd,amsmath}
\usepackage{xcolor}
\begin{document}
\begin{tikzcd}
\cdots \rightarrow H_{1}({\mathcal F};{\mathcal S})(-e_k) \arrow[r,"H"] & H_{1}({\mathcal F};{\mathcal S}) \arrow[r] & H_{1}({... | \documentclass[tikz]{standalone}
\usepackage{amsfonts,amsmath}
\usepackage{color,amssymb,sidenotes}
\usepackage{tikz-cd,amscd,amsmath}
\usepackage{xcolor}
\begin{document}
\begin{tikzcd}
\cdots \rightarrow H_{1}({\mathcal L}^\prime;\tilde{\mathcal S})(-e_1) \arrow[r,"L_{11}"] & H_{1}({\mathcal L}^\prime;\tilde{\m... | In the top row, the first term 'H_1(\mathcal{F}; \mathcal{S})(-e_k)' is changed to 'H_1(\mathcal{L}^\prime; \tilde{\mathcal{S}})(-e_1)'. In the top row, the label 'H' on the first horizontal arrow is changed to 'L_{11}'. In the top row, the second term 'H_1(\mathcal{F}; \mathcal{S})' is changed to 'H_1(\mathcal{L}^\pri... | In the top row, the first term 'H_1(\mathcal{L}';\tilde{\mathcal{S}})(-e_1)' is changed to 'H_1(\mathcal{F};\mathcal{S})(-e_k)'. In the top row, the label on the first arrow 'L_{11}' is changed to 'H'. In the top row, the second term 'H_1(\mathcal{L}';\tilde{\mathcal{S}})' is changed to 'H_1(\mathcal{F};\mathcal{S})'. ... | ||
82 | 0.968609 | \documentclass[tikz]{standalone}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{tikz, tikz-cd, enumerate, amsfonts, stmaryrd, amsmath, amsthm, amssymb, comment, todonotes, mathrsfs, mathtools}
\usetikzlibrary{arrows}
\usetikzlibrary{positioning}
\usepackage{xcolor, color}
\usepackage[all,color]{xy}
\... | \documentclass[tikz]{standalone}
\usepackage{tikz}
\usepackage{pgfplots}
\usepackage{tikz-cd} % Required for the tikzcd environment
\usepackage{mathrsfs} % Required for \mathscr
\usetikzlibrary{arrows.meta, decorations.pathreplacing, positioning, shapes, calc}
\begin{document}
\begin{tikzcd}[every arrow/.append styl... | A new node labeled 'K_r' is added to the bottom-left of the diagram, below and to the left of 'K_\pi'. 'K_r' and 'K_\pi' are connected. A new node labeled 'K_\zeta K_r' is added to the middle-right of the diagram, between 'L' and 'K_\zeta'. 'L' is connected with 'K_\zeta K_r' and 'K_\zeta K_r' is connected with 'K_\zet... | Remove the node labeled $K_r$ located on the far left side of the diagram, along with its incoming curved arrow from $\overline{K}$ (labeled $\mathscr{G}_{K_r}$) and its straight arrow to $K$ and $K_\pi$. Connect $K_\pi$ with K. Remove the node labeled $K_{\zeta}K_r$ located on the right side of the diagram, along with... | ||
83 | 0.969124 | \documentclass[tikz]{standalone}
\usepackage[table]{xcolor}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amsmath,amssymb,array}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{shapes.geometric, arrows}
\usetikzlibrary{math}
\usetikzlibrary{positioning}
\tikzset{
block/.style = {rectangl... | \documentclass[tikz]{standalone}
\usepackage{tikz}
\usepackage{pgfplots}
\usetikzlibrary{arrows.meta, decorations.pathreplacing, positioning, shapes, calc}
\tikzset{
block/.style = {draw, rectangle, minimum height=2em, text centered, draw=black},
cloud/.style = {draw, ellipse, minimum height=2em, text centere... | The fill color of the three oval-shaped terminal nodes ('Weighted Estimation', 'Area-Level Spatial Model', 'Unit-Level Spatial Model') was changed from light blue to white (no fill). The text inside all nodes have been formatted to span only a single line. | The three oval-shaped terminal nodes ('Weighted Estimation', 'Area-Level Spatial Model', and 'Unit-Level Spatial Model') have been filled with a light blue color. The text inside all nodes have been formatted to span multiple lines instead of a single line. 'Weighted Estimation' is two lines while all other text is thr... | ||
84 | 0.965611 | \documentclass[tikz]{standalone}
\usepackage{tikz}
\usepackage{pgfplots}
\usetikzlibrary{arrows.meta, decorations.pathreplacing, positioning, shapes, calc}
\definecolor{closedloop}{RGB}{200,200,200} % Define the color
\definecolor{plant}{RGB}{200,200,200}
\definecolor{unc}{RGB}{200,200,200}
\definecolor{controller}{R... | \documentclass[tikz]{standalone}
\usepackage{tikz}
\usepackage{pgfplots}
\usetikzlibrary{arrows.meta, decorations.pathreplacing, positioning, shapes, calc}
\begin{document}
\begin{tikzpicture}[thick,rounded corners = 0.5mm]
\begin{scope}[shift={(-0.9,0)}]
\draw[densely dotted,fill=gray,fill opacity=1] (0.1,-2.1) rec... | Remove the Δ block above the enclosure and the two bent wires forming the upper G→Δ→G loop. Convert v and w into external ports directly connected to G: place an outward-pointing horizontal v line at the upper left of G and an inward-pointing horizontal w line at the upper right. Replace the single leftward output e wi... | Add a rectangular block labeled “Δ” above and outside the dotted enclosure. Reroute v from G’s upper-left port upward into Δ’s left side, and route w from Δ’s right side downward into G’s upper-right port; place v and w beside the corresponding vertical branches instead of on straight external arrows. Replace the two l... | ||
85 | 0.960474 | \documentclass[tikz]{standalone}
\usepackage{color}
\usepackage[T1]{fontenc}
\usepackage[ansinew]{inputenc}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{color}
\usepackage[colorlinks=true,linkcolor=darkblue,citecolor=darkblue,urlcolor=darkblue]{hyperref}
\usepackage{tikz}
\usetikzlibrary{automata}
\usetikzlib... | \documentclass[tikz]{standalone}
\usepackage{color}
\usepackage[T1]{fontenc}
\usepackage[ansinew]{inputenc}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{color}
\usepackage[colorlinks=true,linkcolor=darkblue,citecolor=darkblue,urlcolor=darkblue]{hyperref}
\usepackage{tikz}
\usetikzlibrary{automata}
\usetikzlib... | The vertical line segment is changed from a single line to a double line. The label 'v' to the left of the vertical line is replaced with the Greek letter 'θ'. The label 'b' below the vertical line is replaced with the symbol 'Φ_bc'. | The vertical line segment is changed from a double line to a single line. The label '$\theta$' to the left of the vertical line is replaced with '$v$'. The label '$\Phi_{bc}$' below the vertical line is replaced with '$b$'. | ||
86 | 0.966158 | \documentclass[tikz]{standalone}
\usepackage{amsmath,amsfonts,bm}
\usepackage{tikz}
\usepackage{pgfplots}
\usepackage{pgfplotstable}
\usepackage{colortbl}
\begin{document}
\begin{tikzpicture}
\node[draw,fill=white,inner sep=5pt,above left=0.5em] at (0,0) {
\begin{tabular*}{0.64\textwidth}{c @{\extracolsep{\f... | \documentclass[tikz]{standalone}
\usepackage{amsmath,amsfonts,bm}
\usepackage{tikz}
\usepackage{pgfplots}
\usepackage{pgfplotstable}
\usepackage{colortbl}
\begin{document}
\begin{tikzpicture}
\node[draw,fill=white,inner sep=5pt,above left=0.5em] at (0,0) {
\begin{tabular*}{0.6\textwidth}{c @{\extracolsep{\fi... | Change the first row label from 'PCC' to 'PPL inc.'. Replace the separate 'ROC' and 'SCC' rows, each containing TEF and RA '??' entries, with one 'Sem. sim.' row containing a single centered '??' spanning both result columns. Shorten the table border vertically to fit two body rows instead of three, and shift the TEF c... | Replace the first row label “PPL inc.” with “PCC” and the second row label “Sem. sim.” with “ROC”. Replace the single centered “??” spanning the TEF and RA columns in the second row with two separate “??” entries, one beneath TEF and one beneath RA. Add a third body row labeled “SCC”, with separate “??” entries beneath... | ||
87 | 0.964583 | \documentclass[tikz]{standalone}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{multirow,tikz,comment}
\usetikzlibrary{arrows,fit,positioning,shapes,bayesnet}
\usetikzlibrary{automata}
\tikzset{}
\begin{document}
\begin{tikzpicture}[scale=.75, line width=0.5pt, inner sep=0.2mm, shorten >=.1pt, shorten <=.1pt]... | \documentclass[tikz]{standalone}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{multirow,tikz,amsmath,comment}
\usetikzlibrary{arrows,fit,positioning,shapes,bayesnet}
\usetikzlibrary{automata}
\tikzset{
-arcsq/.style={->, >=stealth}
}
\begin{document}
\begin{tikzpicture}[scale=.75, line width=0.5pt, inner... | Change the style of all edges from undirected lines to directed arrows (with arrowheads pointing from left to right or top to bottom). Remove the edge connecting node Z3 and node Z6. | Change the arrowheads on all existing edges to be removed, making them undirected lines. Add a new undirected edge connecting node Z3 and node Z6. | ||
88 | 0.967692 | \documentclass[tikz]{standalone}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{automata,positioning}
\usetikzlibrary{arrows.meta}
\begin{document}
\begin{tikzpicture}[shorten >=1pt,node distance=2cm,on grid,auto]
\node[state,initial] (q) { \footnotesize $E||M$};
\node[state] (... | \documentclass[tikz]{standalone}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{automata,positioning}
\usetikzlibrary{arrows.meta}
\usepackage{tikz-qtree}
\begin{document}
\begin{tikzpicture}[shorten >=1pt,node distance=2cm,on grid,auto]
\node[state,initial] (q) { $E$};
\node[s... | The label of the initial state node is changed from '$E||M$' to '$E$'. The label of the state on the right is changed from '$E_0||M$' to '$E_1$'. A new state node labeled '$E_0$' is added, positioned above and to the right of the initial state. A transition label '$a_0$' from $E$ to $E_0$ is added. The label on the tra... | The label of the start state node is changed from '$E$' to '$E||M$'. The state node labeled '$E_0$' and its incoming transition from the start state (labeled '$a_0$') are removed. The self-loop on the state node '$E_1$' (labeled '$b$') is moved from the right side to the top of the node and changed to '$a_0$'. The labe... | ||
89 | 0.964925 | \documentclass[tikz]{standalone}
\usepackage[dvipsnames]{xcolor}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amsmath}
\usepackage{tikz}
\def\checkmark{\tikz\fill[scale=0.4](0,.35) -- (.25,0) -- (1,.7) -- (.25,.15) -- cycle;}
\usepackage{tikz}
\usetikzlibrary{arrows,automata}
\usepackage{pgf}
\usep... | \documentclass[tikz]{standalone}
\usepackage[dvipsnames]{xcolor}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amsmath}
\usepackage{tikz}
\def\checkmark{\tikz\fill[scale=0.4](0,.35) -- (.25,0) -- (1,.7) -- (.25,.15) -- cycle;}
\usepackage{tikz}
\usetikzlibrary{arrows,automata}
\usepackage{pgf}
\usep... | Replace the red hollow-square points with a thin, unmarked red staircase following (0,40)→(10,40)→(10,21)→(11,21)→(11,18)→(12,18)→(12,15)→(16,15)→(16,13)→(17,13)→(17,12)→(20,12)→(20,10)→(22,10)→(22,8)→(25,8)→(25,0). Replace the green hollow-square points with a thin, unmarked green staircase following (0,25)→(10,25)→(1... | Replace the red staircase curve with hollow red square markers at (10,40), (11,21), (12,18), (16,15), (17,13), (20,12), (22,10), and (25,8), with no connecting lines. Replace the green staircase curve with hollow green square markers at (10,25), (11,17), (14,15), (15,12), (16,10), and (17,8), with no connecting lines. ... | ||
90 | 0.969516 | \documentclass[tikz]{standalone}
\usepackage{amsmath,amssymb,mathtools,mathrsfs}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[baseline=0.5cm]
\draw[thick] (0,0) ellipse (1.4 and 0.4);
\fill ({1.4*cos(pi*(1/2+0.02) r)},{0.4*sin(pi*(1/2+0.02) r)}) circle (2pt) node[above left] {$\small \Psi_1... | \documentclass[tikz]{standalone}
\usepackage{amsmath,amssymb,mathtools,mathrsfs}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[baseline=0.5cm]
\draw[thick] (0,0) ellipse (1.4 and 0.4);
\fill ({1.4*cos(pi*(1/2+0.02) r)},{0.4*sin(pi*(1/2+0.02) r)}) circle (2pt) node[above left] {$\small \Psi_1... | Replace the incomplete upper curved path with a closed ellipse centered directly above the lower ellipse and matching its width and height. Remove both solid vertical stems: the left-of-center stem descending from the upper curve and the central stem extending from the upper curve through the Ψ₁ point into the lower el... | Remove the thick, closed upper ellipse. Remove the small direction arrow on the lower-right perimeter of the former upper ellipse. Add a thin open curved strand above the lower ellipse: begin at an upper inner-left point, curve leftward to the left dotted guide, then sweep down and right to a central point above the Ψ1... | ||
91 | 0.96575 | \documentclass[tikz]{standalone}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage[dvipsnames]{xcolor}
\usepackage{amsmath}
\usepackage{tikz-cd}
\usetikzlibrary{arrows}
\usetikzlibrary{matrix,decorations.pathreplacing,calc}
\usetikzlibrary{arrows.meta,shapes}
\DeclareMathOperator{\coker}{coker}
\Declare... | \documentclass[tikz]{standalone}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage[dvipsnames]{xcolor}
\usepackage{amsmath}
\usepackage{tikz-cd}
\usetikzlibrary{arrows}
\usetikzlibrary{matrix,decorations.pathreplacing,calc}
\usetikzlibrary{arrows.meta}
\DeclareMathOperator{\coker}{coker}
\DeclareMathOp... | The text 'coker ev' in the second position of the sequence is changed to 'coker d'. The subscript of the third term is changed from 'u_0,\star' to 'u,j,\nu;J', transforming 'coker fd_{u_0,\star}' into 'coker fd_{u,j,\nu;J}'. The subscript of the fourth term is changed from 'u_0,\clubsuit' to 'u,j;J', transforming 'coke... | The text 'coker d' in the second position of the sequence is changed to 'coker ev'. The mathematical expression 'coker f_d_{u,j,\nu;J}' in the third position is changed to 'coker fd_{u_0,\star}'. The mathematical expression 'coker f_d_{u,j;J}' in the fourth position is changed to 'coker fd_{u_0,\clubsuit}'. | ||
92 | 0.967314 | \documentclass[tikz]{standalone}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usepackage{pgfplots}
\usetikzlibrary{patterns}
\usepackage{xcolor}
\usetikzlibrary{arrows.meta}
\begin{document}
\begin{tikzpicture}
\begin{axis}[
ybar, axis on top,
height=7.5cm, width = 0.75\textwidth,... | \documentclass[tikz]{standalone}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usepackage{pgfplots}
\usetikzlibrary{patterns}
\usepackage{xcolor}
\usetikzlibrary{arrows.meta}
\begin{document}
\begin{tikzpicture}
\centering
\begin{axis}[
ybar, axis on top,
height=6.5cm, width = \t... | The Y-axis label is changed from 'Retrieval time (s)' to 'Mapping Runtime (ms)'. The X-axis categories (Instances) are updated from two groups ($165\cdot10^3\times165\cdot10^3$ and $400\cdot10^3\times400\cdot10^3$) to three groups ($165\cdot10^3\times1782$, $400\cdot10^3\times1782$, and $500\cdot10^3\times1782$). The r... | The Y-axis label is changed from 'Mapping Runtime (ms)' to 'Retrieval time (s)'. The X-axis categories (symbolic coordinates) are changed from three instances ($165\cdot10^3\times1782$, $400\cdot10^3\times1782$, $500\cdot10^3\times1782$) to two instances ($165\cdot10^3\times165\cdot10^3$, $400\cdot10^3\times400\cdot10^... | ||
93 | 0.968749 | \documentclass[tikz]{standalone}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{arrows.meta}
\begin{document}
\begin{tikzpicture}
\draw[>=stealth, ->, line width=1.2pt] (0,0) -- (5,0);
\draw[>=stealth, ->, line width=1.2pt] (0,0) -- (0,5);
\draw[line width=1.1pt] (2,0) -- (2,... | \documentclass[tikz]{standalone}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{arrows.meta}
\begin{document}
\begin{tikzpicture}
\draw[>=stealth, ->, line width=1.2pt] (0,0) -- (5,0);
\draw[>=stealth, ->, line width=1.2pt] (0,0) -- (0,5);
\draw[line width=1.1pt] (2,0) -- (2,... | A new dashed line segment is added, starting from the existing junction point (1,1) and extending vertically upwards to a new y-coordinate of q⁻¹. A horizontal dashed line is added, extending from the new point on the y-axis (at q⁻¹) to the right, meeting the vertical dashed line. A new diagonal dashed line is added, s... | Remove the dashed line segment extending from the point (1,1) upwards to (1, q^{-1}) and then leftwards to the y-axis at q^{-1}. Remove the dashed line segment extending from the point (1, q^{-1}) diagonally upwards and to the right. Remove the y-axis tick label '$q^{-1}$'. Remove the label '$b = q^{-1}\lambda$' locate... | ||
94 | 0.968958 | \documentclass[tikz]{standalone}
\usepackage[centertags]{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{arrows.meta,shapes}
\begin{document}
\begin{tikzpicture}[fill opacity=0.05, ,xscale=0.8,yscale=0.8]
\fill (0,0) ellipse (5.0 and 3.0);
\draw[fill opacity=0.2] (0,0) ellipse (5.0 and 3.0);
\fill (0... | \documentclass[tikz]{standalone}
\usepackage[centertags]{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{arrows.meta,shapes}
\begin{document}
\begin{tikzpicture}[fill opacity=0.05, ,xscale=0.8,yscale=0.8]
\fill (-1.4,0) ellipse (2.6 and 1.5);
\draw[fill opacity=0.2] (-1.4,0) ellipse (2.6 and 1.5);
\f... | The two large outer concentric ellipses (the largest one labeled $B^{0,b + \frac{1}{q}}_{p,q}(\mathbb{R}^d)$ and the one immediately inside it) are removed from the diagram. The corresponding labels are also removed. A gray circle labeled $B^{0,b}_{p,q}(\mathbb{R}^d)$ is added and positioned at the center of the inters... | The overall diagram structure is extended from two overlapping ellipses to two large concentric ellipses containing the smaller overlapping ellipses. The inner ellipse is labeled $\mathbf{B}^{0,b}_{p,q}(\mathbb{R}^d)$ above the two overlapping ellipses and the outer ellipse is labeled $B^{0,b + \frac{1}{q}}_{p,q}(\math... | ||
95 | 0.969527 | \documentclass[tikz]{standalone}
\usepackage{amssymb}
\usepackage{amsmath,amsfonts,amssymb}
\usepackage{color}
\usepackage{tikz}
\usetikzlibrary{decorations.pathmorphing}
\usepackage{graphicx, xcolor, soul}
\usepackage[disable,colorinlistoftodos,prependcaption,textsize=tiny]{todonotes}
\usetikzlibrary{arrows.meta,sha... | \documentclass[tikz]{standalone}
\usepackage{amssymb}
\usepackage{amsmath,amsfonts,amssymb}
\usepackage{color}
\usepackage{tikz}
\usetikzlibrary{decorations.pathmorphing}
\usepackage{graphicx, xcolor, soul}
\usepackage[disable,colorinlistoftodos,prependcaption,textsize=tiny]{todonotes}
\usetikzlibrary{arrows.meta,sha... | The point labeled $\mathcal{R}_A^\gamma(x)$ is moved from the right of $\mathbb{P}_A(x)$ to the left of it (between $x$ and $\mathbb{P}_A(x)$). The black arrow moves through the point $\mathcal{R}_A^\gamma(x)$ to point to $\mathbb{P}_A(x)$ while the blue arrow from $\mathbb{P}_A(x)$ to $\mathcal{R}_A^\gamma(x)$ is reve... | The point labeled $\mathcal{R}_A^\gamma(x)$ is moved from the left of $\mathbb{P}_A(x)$ to the right of it (between $x$ and $\mathcal{R}_A^\gamma(x)$). The black arrow points directly to $\mathbb{P}_A(x)$ while the blue arrow is reversed and positioned vertical between $\mathbb{P}_A(x)$ and $\mathcal{R}_A^\gamma(x)$. T... | ||
96 | 0.960319 | \documentclass[tikz]{standalone}
\usepackage{amssymb,tikz,tikz-cd}
\begin{document}
\begin{tikzpicture}
\tikzstyle{point}=[inner sep=0pt]
\node (x)[point, label=above:{$x$}] at (1,.9) {};
\node (y1)[point, label=left:{$y_1$}] at (0,0) {};
\node (y2)[point, label=left:{$y_2$}] at (2,0) {};
\node (y3)[point, label=rig... | \documentclass[tikz]{standalone}
\usepackage{amssymb,tikz,tikz-cd}
\begin{document}
\begin{tikzpicture}[every loop/.style={min distance=10mm, in=190, out=240, looseness=10}]
\tikzstyle{point}=[inner sep=0pt]
\node (x)[point, loop below, label=above:{$x$}] at (1,.9) {};
\node (y2)[point, label=left:{$y_2$}] at (2,0)... | The node labeled 'y_1' and its connecting line to the central node 'x' have been removed and replaced with a self-loop around 'x'. | The self-loop (a curved line starting and ending at the central node x) is removed from the central node x. A new node labeled 'y_1' is added at the bottom-left position, and a straight line is drawn connecting it to the central node x. | ||
97 | 0.964386 | \documentclass[tikz]{standalone}
\usepackage[utf8x]{inputenc}
\usepackage{amssymb, amsmath,amsthm,amsfonts}
\usepackage{color}
\usepackage{tikz}
\usetikzlibrary{mindmap}
\usetikzlibrary{fit}
\usetikzlibrary{shapes}
\usepackage[T1]{fontenc}
\usetikzlibrary{arrows.meta}
\begin{document}
\begin{tikzpicture}
\tikzstyle{... | \documentclass[tikz]{standalone}
\usepackage[utf8x]{inputenc}
\usepackage{amssymb, amsmath,amsthm,amsfonts}
\usepackage{color}
\usepackage{tikz}
\usetikzlibrary{mindmap}
\usetikzlibrary{fit}
\usetikzlibrary{shapes}
\usepackage[T1]{fontenc}
\usetikzlibrary{arrows.meta}
\begin{document}
\begin{tikzpicture}
\tikzstyle{... | A new horizontal line segment is added at the bottom of the diagram, connecting a black circular point labeled $y_1$ inside the left circle ($S_1$) to a black circular point labeled $y$ that is placed to the right of $y_1$. A new horizontal line segment is added at the bottom of the diagram, connecting a black circular... | Remove the horizontal line segment connecting the left circle (S1) to the center-left area. Remove the horizontal line segment connecting the right circle (S3) to the center-right area. Remove the black dots and corresponding text labels 'y', 'z', 'y_1', and 'z_3' from the figure. | ||
98 | 0.966293 | \documentclass[tikz]{standalone}
\usepackage{amsmath, amssymb,verbatim,appendix}
\usepackage[latin1]{inputenc}
\usepackage{tikz}
\usetikzlibrary{shapes,arrows}
\usepackage{setspace,a4wide,color,xcolor,graphicx}
\begin{document}
\begin{tikzpicture}[scale=1.5, every node/.style={scale=1.5}]
\draw[thick](2,2,0)--(0,2... | \documentclass[tikz]{standalone}
\usepackage{amsmath, amssymb,verbatim,appendix}
\usepackage[latin1]{inputenc}
\usepackage{tikz}
\usetikzlibrary{shapes,arrows}
\usepackage{xcolor}
\usepackage{setspace,a4wide,color,xcolor,graphicx}
\begin{document}
\begin{tikzpicture}[scale=1.5, every node/.style={scale=1.2}]
\draw... | The label 'e' at the back-left-bottom corner is changed to 'u_{121}'. The label 'f' at the front-left-bottom corner is changed to 'u_{111}'. The label 'h' at the back-left-top corner is changed to 'u_{122}'. The label 'd' at the back-right-bottom corner is changed to 'u_{221}'. The label 'c' at the back-right-top corne... | The label at the back-left-bottom vertex (originally $u_{121}$) is changed to $e$. The label at the front-left-bottom vertex (originally $u_{111}$) is changed to $f$. The label at the back-left-top vertex (originally $u_{122}$) is changed to $h$. The label at the back-right-bottom vertex (originally $u_{221}$) is chang... | ||
99 | 0.965134 | \documentclass[tikz]{standalone}
\usepackage{pgfplots}
\usepackage{hyperref, enumerate, xcolor}
\usepackage{tikz}
\usetikzlibrary{positioning}
\usetikzlibrary{plotmarks}
\usetikzlibrary[plotmarks]
\usepackage{color}
\begin{document}
\begin{tikzpicture}
\begin{axis}[
width=8cm,
height=6cm,
scale only axis,
x... | \documentclass[tikz]{standalone}
\usepackage{tikz}
\usepackage{pgfplots}
\usetikzlibrary{arrows.meta, decorations.pathreplacing, positioning, shapes, calc}
\begin{document}
\begin{tikzpicture}
\begin{axis}[
width=5cm,
height=5cm,
scale only axis,
xmin=0, xmax=0.5,
xtick={0.1,0.2,0.3,0.4,0.5},
xticklab... | The x-axis range is modified from 0 to 2 with ticks at 0, 0.5, 1, 1.5, 2 to a range of 0 to 0.5 with ticks at 0.1, 0.2, 0.3, 0.4, 0.5. The y-axis range is modified from 0.4 to 0.8 with ticks at 0.4, 0.5, 0.6, 0.7, 0.8 to a range of 0.4 to 1 with ticks at 0.4, 0.6, 0.8, 1. A title '$\gamma=1$' is added to the top of the... | The y-axis range is changed from 0.4 to 1 with ticks at 0.4, 0.6, 0.8, 1 to a range of 0.4 to 0.8 with ticks at 0.4, 0.5, 0.6, 0.7, 0.8. The x-axis range is changed from 0 to 0.5 with ticks at 0.1, 0.2, 0.3, 0.4, 0.5 to a range of 0 to 2 with ticks at 0, 0.5, 1, 1.5, 2. The font size of the legend text is decreased to ... |
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