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\documentclass[12pt]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{xcolor} \usepackage{tikz} \usetikzlibrary{positioning,backgrounds,patterns,calc, graphs, shapes, fit} \usetikzlibrary{patterns} \usepackage{amsmath} \begin{document} \begin{tikzpicture} % Define colors \colorlet{lig...
Description: The image depicts a schematic diagram illustrating a layered structure composed of a gray trapezoidal cone-like base labeled $X_t$, with a white upper trapezoid overlay and black circular nodes representing elements such as $u_1$ through $u_9$ and $h_1$ through $h_3$. The nodes are arranged in a hierarchic...
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\documentclass[10pt,twocolumn,letterpaper]{article} \usepackage{tikz} \usetikzlibrary{arrows.meta, shapes, positioning, fit, backgrounds} \usetikzlibrary{decorations.pathreplacing} \usetikzlibrary{patterns, calc} \usepackage[T1]{fontenc} \usepackage[pagebackref,breaklinks,colorlinks,allcolors=wacvblue]{hyperref} \begi...
Description: This image displays a schematic diagram illustrating a sequence of patterned blocks arranged in two horizontal rows, with connecting arrows and dashed lines. The first row shows a left sequence of five blue-patterned boxes labeled $g_1$, followed by a right sequence of five orange-patterned boxes labeled $...
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\documentclass[12pt]{amsart} \usepackage{amsmath} \usepackage{amssymb} \usepackage{color} \usepackage[utf8]{inputenc} \usepackage{tikz} \usetikzlibrary{arrows,backgrounds,arrows.meta,decorations.markings} \usepackage{tikz-cd} \begin{document} \begin{tikzpicture}%multiplication \draw[blue,in=-90,out=-90,looseness=2...
Description: The image shows a TikZ diagram with two blue curved lines forming a "multiplication" symbol, resembling a stylized "×" or a pair of crossed arcs. The left arc starts and ends at the same vertical level, looping around a central point, while the right arc is similarly shaped but positioned to the right. Two...
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\documentclass{article} \usepackage{amsmath} \usepackage{amssymb} \usepackage{xcolor} \usepackage[colorlinks=true, allcolors=blue]{hyperref} \usepackage{tikz} \usepackage{tikz-3dplot} \usetikzlibrary{calc,positioning,arrows.meta} \begin{document} \begin{tikzpicture}[scale=1.5, line cap=round, line join=round] \begi...
Description: The image shows two identical equilateral triangles positioned symmetrically around a central point marked with a plus sign ($\oplus$). Each triangle is defined by three vertices labeled with small filled circles, and both triangles are rotated and shifted horizontally relative to each other. The layout us...
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\documentclass{article} \usepackage{xcolor} \usepackage{amssymb} \usepackage{amsmath} \usepackage[most]{tcolorbox} \usepackage{tikz} \usepackage{amsmath} \usepackage{amsmath,amsfonts,bm} \usepackage{pgfplots} \pgfplotsset{compat=1.18} \usepackage[T1]{fontenc} \usepackage[utf8]{inputenc} \begin{document} \begin{tikzpi...
Description: The image displays a line plot with two data series labeled "LC" (blue squares) and "WR" (red triangles), both showing performance percentages over three iterations. The x-axis ranges from -0.6 to 2.7, with tick marks at 0, 1, and 2, while the y-axis spans from 25 to 95 with major ticks at intervals of 10....
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\documentclass[11pt,a4paper,reqno,dvipsnames]{amsart} \usepackage{amsmath} \usepackage{amssymb,stmaryrd} \usepackage{xcolor} \usepackage{tikz} \usetikzlibrary{arrows} \usetikzlibrary{decorations.pathreplacing} \usetikzlibrary{graphs} \usetikzlibrary{shapes.geometric} \usepackage{pgfplots} \pgfplotsset{compat=1.15} \be...
Description: The image shows a TikZ diagram with black circular nodes representing points labeled $c_1$, $c_2$, $c_3$, $z_1$, $w$, $p_1$, $p_2$, and $u$. The layout consists of two main clusters: one triangle formed by $c_1$, $c_2$, and $c_3$, connected to a point $z_1$; and another cluster with point $w$ connected to ...
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\documentclass[12pt, a4paper, fleqn]{article} \usepackage[T1]{fontenc} \usepackage[utf8]{inputenc} \usepackage[table]{xcolor} \usepackage{amsmath, amssymb, amsfonts, amsthm} \usepackage[colorlinks=true, linktoc=all, linkcolor=black, citecolor=red, urlcolor=blue, backref=page]{hyperref} \usepackage{tikz} \usetikzlibrary...
Description: The image shows a symmetric geometric diagram composed of thick black lines forming a central diamond-like shape with triangular extensions. The layout features a horizontal base line from (-1, -2) to (5, -2), with two diagonal lines extending upward from the endpoints to meet at the origin (0, 0). From th...
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\documentclass{article} \usepackage{amsmath} \usepackage{tikz} \usetikzlibrary{graphs, positioning} \begin{document} \begin{tikzpicture}[baseline=(current bounding box.center),every node/.style={circle,draw,inner sep=0pt,minimum size=12pt,text centered}, scale=0.8] \node (1) at (0,0) {k}; \node (2) at (1,0) {...
Description: The image shows a triangular diagram with three labeled nodes positioned at the vertices of an equilateral triangle. The nodes are circular with black outlines and contain the labels "k", "j", and "i" respectively, arranged at the bottom left, bottom right, and top center positions. The triangle is formed ...
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\documentclass[conference]{IEEEtran} \usepackage{amsmath,amssymb,amsfonts} \usepackage{xcolor} \usepackage{tikz} \usetikzlibrary{positioning} \usepackage{pgfplots} \usetikzlibrary{patterns} \usetikzlibrary{positioning, shapes.geometric, fit} \begin{document} \begin{tikzpicture} \begin{axis}[ width=\linewi...
Description: The image displays a line plot with two data series, labeled "Clean" (blue) and "Poisoned" (red), representing precision values across five classes (A through E). The x-axis ranges from 1 to 5, corresponding to the class labels, while the y-axis spans from 0 to 1. Both axes are marked with ticks and grid l...
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\documentclass[twoside, 11pt]{amsart} \usepackage[T1]{fontenc} \usepackage{times,amsmath,amsthm} \usepackage{tikz} \usepackage{tikz-cd} \usetikzlibrary{decorations.pathmorphing,arrows,arrows.meta,calc,shapes,shapes.geometric,decorations.pathreplacing, fit, positioning, matrix} \tikzcdset{arrow style=tikz, diagrams={>=s...
Description: The image shows a TikZ diagram with a dashed curved line starting at the top left and curving down to the right, followed by a vertical dashed line and a dotted line. Four white-filled squares are positioned in a grid-like layout, with two on the bottom row and two on the top row. Thick lines connect point...
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\documentclass[11pt]{article} \usepackage{bbm,url,microtype,amssymb,amsthm,mathtools,mathrsfs,cleveref,graphicx,float,color} \usepackage[T1]{fontenc} \usepackage{tikz} \usetikzlibrary{decorations.pathmorphing,decorations.pathreplacing,arrows.meta,positioning,fit,calc,backgrounds,shapes.arrows,matrix,intersections} \pgf...
Description: The image displays two aligned matrices of colored square cells, each containing labels such as $+1$, $-1$, $?$, $XI$, $IX$, etc. The first matrix, on the left, shows a 3x3 grid with entries labeled $+1$, $-1$, and a red $?$ in the bottom-right cell. Each cell is bordered with black lines and has consisten...
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\documentclass[11pt,a4paper]{article} \usepackage[T1]{fontenc} \usepackage[utf8]{inputenc} \usepackage[dvipsnames]{xcolor} \usepackage{tikz} \usetikzlibrary{decorations.pathmorphing, decorations.markings, calc, arrows.meta, patterns} \usepackage[colorlinks=true, linkcolor=black, citecolor=blue, urlcolor=blue, linktoc=a...
Description: This image illustrates a Feynman diagram representing a particle interaction, consisting of three horizontally aligned diagrams connected by plus signs. Each diagram features four labeled lines (with indices and Greek letters) meeting at a central point, forming a vertex. The first diagram shows two incomi...
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\documentclass[12pt]{article} \usepackage[utf8]{inputenc} \usepackage{amssymb} \usepackage{amsmath} \usepackage{xcolor} \usepackage{tikz} \tikzset{ext/.style={circle, draw,inner sep=1pt},int/.style={circle,draw,fill,inner sep=1pt},nil/.style={inner sep=1pt}} \usetikzlibrary{arrows} \usetikzlibrary{knots} \usetikzlibrar...
Description: The image displays two distinct knot diagrams side by side, each representing a different configuration of intersecting curves. Both diagrams feature blue and red strands, with some strands dashed to indicate different types or levels of interaction. The blue strands are thick and include arrows at the end...
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\documentclass[9pt,a4paper,oneside]{article} \usepackage{amsmath,amsfonts,amsthm} \usepackage[dvipsnames]{xcolor} \usepackage{amssymb} \usepackage{tikz} \usetikzlibrary{decorations.markings} \usetikzlibrary{shapes,graphs,arrows} \usetikzlibrary{calc,shapes.callouts,shapes.arrows} \tikzset{->-/.style={decoration={markin...
Description: The image displays four distinct geometric diagrams arranged in a grid-like layout, each representing a different structure labeled $P_5(R_W)$, $P_4(R_X)$, $P_5(R_Y)$, and $P_3(R_Z)$. Each diagram consists of nodes (small filled circles) connected by straight lines to form polygons or chains. The nodes are...
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\documentclass[12pt,a4paper]{article} \usepackage[utf8]{inputenc} \usepackage{amssymb} \usepackage{graphicx,wrapfig, tikz, cancel, hyperref, multirow,rotating} \usetikzlibrary{fit,shapes.geometric} \usetikzlibrary{shapes.misc} \usepackage{colortbl} \usetikzlibrary{positioning} \usetikzlibrary{calc} \usetikzlibrary{patt...
Description: The image shows a supply and demand diagram for a market of good U, with price on the vertical axis and quantity on the horizontal axis. A blue residual demand curve slopes downward from left to right, while a red marginal cost curve (supply) slopes upward. A horizontal dashed line intersects the residual ...
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\documentclass[12pt]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amsmath, amssymb, amsfonts, amsthm} \usepackage{tikz} \usetikzlibrary{arrows.meta, positioning, shapes.geometric} \usepackage{xcolor} \begin{document} \begin{tikzpicture}[scale=0.25] % Soporte extendido de la extensión de...
Description: The image is a grid-based diagram rendered in TikZ with a layout of 10 by 10 units, featuring nested shaded rectangles that represent different levels of mathematical structure. The largest gray-shaded rectangle spans the entire grid, while a smaller, lighter gray rectangle is centered within it. A small y...
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\documentclass[a4paper,m11pt]{article} \usepackage{tikz-feynman, contour} \usepackage{tikz-cd} \usepackage{xcolor} \begin{document} \begin{tikzpicture}[baseline = (e.base)] \begin{feynman} [inline = (e.base)] \vertex[label={$a_1$}] (a) ; \vertex[below = 1cm of a] (b); \vertex[below = 1cm of b...
Description: The image shows a Feynman diagram rendered using TikZ and the `tikz-feynman` package. It consists of a series of labeled vertices connected by scalar lines (straight lines representing particle interactions). The diagram has a vertical structure with nodes labeled $a_1$ through $a_6$ on the left and $b_1$ ...
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\documentclass[12pt,a4paper]{article} \usepackage{color} \usepackage{amsmath,amsthm} \usepackage{tikz} \usetikzlibrary{shapes,arrows,calc} \begin{document} \begin{tikzpicture}[ v2/.style={fill=black,minimum size=4pt,ellipse,inner sep=1pt}, scale=0.4 ] \node[v2] (H2_1) at (0, 0) {}; \node[v2] (H2_2) a...
Description: The image shows a geometric graph structure composed of black elliptical nodes connected by straight lines, forming a complex polygonal network. The layout includes two main clusters of nodes arranged in a roughly hexagonal pattern with additional connections between them. Nodes are labeled with letters (e...
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\documentclass{article} \usepackage{tikz} \usetikzlibrary{arrows.meta} \begin{document} \begin{tikzpicture}[>=Stealth] % Axes \draw[->, thick] (0,0) -- (4,0) node[right]{$x$}; \draw[->, thick] (0,2) -- (0,4) node[above]{$t$}; % Labels \node[left] at (0,0) {$(0,0)$}; \node[left] at (0,3) {$(0,t)$}; \node[right] at (3...
Description: The image shows a 2D coordinate system with labeled axes, where the x-axis extends horizontally and the t-axis vertically. It includes two regions: a red horizontal line segment labeled $A$ at height $t$, and a blue triangular region $\tilde{A}$ bounded by vertical and horizontal lines forming a right tria...
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\documentclass[10pt,a4paper]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amsmath,amssymb,amsthm,mathtools} \usepackage{tikz} \begin{document} \begin{tikzpicture}[scale=1.1, >=stealth] % axes \draw[->] (-3,0) -- (3.4,0) node[below] {$-\alpha$}; \draw[->] (0,-3) -- (0,3.4) node[left...
Description: The image is a TikZ diagram showing a square grid divided into four quadrants by horizontal and vertical axes labeled $-\alpha$ and $-\beta$. The upper-right quadrant is filled green and labeled "democracy," while the other three quadrants are filled red and labeled "confrontation." An orange vertical rect...
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\documentclass[11pt]{article} \usepackage{amsmath, amssymb, amscd, amsthm, amsfonts} \usepackage{color} \usepackage{tikz} \usepackage{pgfplots} \usepackage{xcolor} \usetikzlibrary{arrows.meta} \usetikzlibrary{calc} \begin{document} \begin{tikzpicture}[node distance=1.5cm,scale=0.9] \draw (0,0) node[fill=orange,mi...
Description: The image shows a directed graph with nodes represented as colored circles. There are five main nodes: one orange node labeled $p$ positioned at the origin, and four other nodes labeled $x_1$, $x_2$, $x_3$, and $x_4$, arranged vertically along the x-axis. The node $x_4$ is black and positioned to the left ...
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\documentclass[12pt]{article} \usepackage{tikz} \usetikzlibrary{arrows.meta,positioning} \usetikzlibrary{arrows.meta,positioning} \usetikzlibrary{positioning,fit,backgrounds} \usepackage{amsmath,amsthm,enumitem,amssymb,mathtools} \usepackage{xcolor} \begin{document} \begin{tikzpicture}[ scale=1.2, rotate=90, ve...
Description: The image shows a directed graph rendered in TikZ with a vertical layout, rotated 90 degrees. It consists of seven circular vertices labeled with mathematical symbols such as $x_1$, $x_2$, ..., $x_7$, and $\alpha$, along with $y$. The vertices are connected by straight lines forming a network: a left branc...
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\documentclass[11pt]{amsart} \usepackage{cleveref,mathrsfs,enumitem, amssymb} \usepackage{xcolor} \usepackage{tikz} \usetikzlibrary{positioning} \begin{document} \begin{tikzpicture}[>=stealth, node distance=22mm] % NODES \node (i) {(i)}; \node (ii) [right=of i] {(ii)}; \node (iv) [below=of ii] {(iv)}; \node (iii) [l...
Description: The image shows a directed graph with six main nodes labeled (i) through (v), arranged in a diamond-like structure, and additional nodes (vi) through (xii) positioned below. The layout forms a complex web of arrows connecting the nodes, with some loops and cross-connections. Nodes are placed using relative...
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\documentclass[10pt,leqno]{amsart} \usepackage{amsmath,amssymb,amsthm} \usepackage{xcolor} \usepackage{tikz} \usetikzlibrary{arrows.meta,positioning,shapes.geometric,shapes.multipart,fit,backgrounds} \usepackage{pgfplots} \pgfplotsset{compat=1.18} \begin{document} \begin{tikzpicture} \begin{axis}[ ybar, heigh...
Description: The image displays a vertical bar chart with six categories labeled along the x-axis: BTLM-3b, Gemma4b, Bloom4b, Mistral7b, Gemma7b, and Bloom7b. Each category has a corresponding bar whose height represents an average score, ranging from approximately 1.78 to 4.22, as indicated by the y-axis labeled "Aver...
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\documentclass[twocolumn, floatfix, nofootinbib, aps, pra, 10pt, superscriptaddress]{revtex4-2} \usepackage[utf8]{inputenc} \usepackage{amsmath, amssymb, amsthm} \usepackage[dvipsnames, table]{xcolor} \usepackage{tikz} \usetikzlibrary{decorations.pathmorphing} \begin{document} \begin{tikzpicture} \filldraw[fill=B...
Description: The image shows a geometric diagram with a dashed blue-filled triangle pointing downward, positioned centrally. From the triangle's apex, three thick lines extend outward: one vertically upward and two diagonally downward to the left and right. Two additional thick blue arcs are drawn from different points...
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\documentclass[a4paper, twoside]{article} \usepackage{amsmath} \usepackage{amssymb} \usepackage[colorlinks=true, allcolors=blue]{hyperref} \usepackage{tikz} \usepackage{amsmath} \usepackage{tikz-3dplot} \usepackage{pgfplots} \pgfplotsset{compat=1.18} \usetikzlibrary{arrows.meta,bending,positioning} \newcommand{\w}{\ma...
Description: The image shows a two-dimensional coordinate system with axes labeled $w_1^*$ and $w_2^*$, extending from 0 to 10 on both axes. Red, blue, and orange lines represent different linear plots originating from the top-left corner (0,10) and ending on the x-axis at varying points, indicating distinct relationsh...
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\documentclass[runningheads,envcountsame]{llncs} \usepackage[T1]{fontenc} \usepackage[bookmarks,unicode,colorlinks=true]{hyperref} \usepackage{color} \usepackage{amsmath} \usepackage{tikz} \usetikzlibrary{automata,positioning,decorations.markings,arrows,intersections,calc,shapes,patterns,patterns.meta,fit} \newcommand...
Description: The image displays four distinct directed graphs illustrating stochastic game transformations, each labeled (a) through (d). The first graph (a) shows a simple reachability game with nodes $v_0$, $v_1$, $v_2$, and $\top$, connected by curved and straight edges, including a self-loop at $\top$. The second (...
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\documentclass[12pt, a4paper, headings=standardclasses, openany, bibliography=totocnumbered]{amsart} \usepackage{amsmath, amssymb, amsfonts, amsthm, mathtools, bbm} \usepackage{tikz-cd} \usepackage{tikz} \usetikzlibrary{matrix,decorations.pathreplacing} \usetikzlibrary{shapes.geometric,calc} \usetikzlibrary{arrows.meta...
Description: The image shows two horizontal lines representing $\mathbb{Q}\times\{1\}$ and $\mathbb{Q}\times\{2\}$, drawn with a vertical axis flipped for visual effect. The top line has two excluded points marked as black crosses at positions $(2,1)$ and $(5,1)$, while the bottom line has an excluded point at $(2,0)$ ...
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\documentclass[reqno]{amsart} \usepackage{mathtools,amssymb} \usepackage{xcolor} \usepackage{tikz} \usepackage[T1]{fontenc} \usetikzlibrary{arrows.meta,positioning,decorations.pathreplacing,shapes.callouts, calc} \usepackage[colorlinks=true, linkcolor=blue, citecolor=red, urlcolor=magenta]{hyperref} \begin{document} ...
Description: The image shows a TikZ diagram with four labeled points $P_1$, $P_2$, $P_3$, and an unlabeled point, positioned in a 2D plane. Thick blue and gray lines connect pairs of points, with labels $\ell_{12}$ and $\ell_{13}$ placed near the lines. A red square is drawn starting from the top-right point, forming a...
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\documentclass[journal]{IEEEtran} \usepackage{amsmath} \usepackage{amsmath,amssymb,amsfonts} \usepackage{color} \usepackage{tikz} \usetikzlibrary{automata,arrows,positioning,calc} \usepackage{pgfplots} \pgfplotsset{compat=1.18} \usepackage{tikz} \usetikzlibrary{arrows.meta, positioning} \usetikzlibrary{angles,quotes} \...
Description: The image shows a simple block diagram illustrating a system with an input signal $X$, a noise source, and an output $Y$. The layout consists of a horizontal flow from left to right, starting with the input label $X$ on the far left. A rectangular block labeled "System $P_{Y\mid X}$" is positioned centrall...
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\documentclass[10pt,leqno]{amsart} \usepackage{amssymb,amsthm,amsmath} \usepackage[dvipsnames]{xcolor} \usepackage{tikz} \usepackage{tikz-cd} \usetikzlibrary{hobby,patterns,positioning} \usetikzlibrary{decorations.pathreplacing} \begin{document} \begin{tikzpicture}[scale=0.75] \draw (0,0) -- (7.2,0) -- (3.6,5.4) -- (...
Description: The image shows a geometric diagram composed of overlapping triangles and labeled points, rendered in TikZ. It features a large triangle with vertices at the bottom left, bottom right, and top center, divided into smaller triangular regions by internal lines. The diagram includes six labeled points (α, α',...
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\documentclass[aps,prd,onecolumn,nofootinbib,superscriptaddress,showkeys]{revtex4-2} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amsmath,amssymb,amsfonts,amsthm} \usepackage{xcolor} \usepackage{pgfplots} \usepackage[framemethod=tikz]{mdframed} \usepackage{tikz} \usetikzlibrary{arrows.meta, position...
Description: The image shows a plot of three curves in a Cartesian coordinate system with the x-axis labeled as $x \equiv \rho/\rho_\star$ and the y-axis as $H^2/H_\star^2$. The plot includes a black line representing General Relativity (GR), a blue dashed curve for a Palatini truncation up to second order in curvature...
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\documentclass[11pt]{amsart} \usepackage{amsmath,amssymb,amsthm,mathtools} \usepackage[T1]{fontenc} \usepackage{tikz} \usetikzlibrary{arrows.meta,calc,positioning,decorations.pathreplacing} \begin{document} \begin{tikzpicture}[scale=1.05, every node/.style={font=\small}] % local coordinates for each panel \def\xA...
Description: The image displays three horizontal panels labeled $\Lambda_0$, $\Lambda_1$, and $\Lambda_2$, each containing a triangle with vertices marked as $C_1$, $C_2$, and $C_3$. The first panel shows a triangle with filled circles at each vertex, the second panel shows the same triangle with no fill but a connecti...
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\documentclass[11pt]{amsart} \usepackage{amsmath} \usepackage{amssymb} \usepackage{fontenc} \usepackage{tikz} \usetikzlibrary{arrows} \begin{document} \begin{tikzpicture}[scale=.3]\tiny \node (v1) at (-20,-6) {$\mathbf{(a,b)}$}; \node (v2) at (20,-6) {$(a-b,b)$}; \node (v3) at (20,6) {$(a-b-c,b)$}; \node (v4) at (-20...
Description: The image shows a TikZ diagram with labeled nodes arranged in a roughly rectangular layout, representing points in a coordinate system. The nodes are labeled with coordinates and mathematical expressions such as $(a,b)$, $(a-b,b)$, and so on. Blue, red, and orange directed edges (with triangle arrowheads) ...
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\documentclass{article}[11pt] \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz} \usepackage{xcolor} \usetikzlibrary{shapes.geometric, arrows.meta} \usetikzlibrary{positioning} \begin{document} \begin{tikzpicture}[scale=0.85, transform shape, % Define styles for nodes and arrows normalnode/.style={ ...
Description: The image shows a TikZ diagram with four circular nodes labeled $Y_{t,0}(a_t)$, $Y_{t,1}(a_t)$, $A_{t,1}(a_t)$, and $D_{1:t-1}$, arranged in a horizontal layout. A central node labeled $D_{1:t-1}$ connects via curved blue arrows to the other nodes, including some with bend angles and others with straight l...
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\documentclass{amsart} \usepackage{amssymb} \usepackage{tikz} \usepackage{pgf,tikz} \usetikzlibrary{arrows} \usepackage{tkz-graph} \begin{document} \begin{tikzpicture}[>=stealth',shorten >=1pt,auto,node distance=1.5cm, thick,main node/.style={circle,draw,font=\bfseries},xscale=.6,yscale=.6] \draw[step=1cm,gray,dotte...
Description: The image shows two coordinate systems side by side, each with a gray dotted grid and labeled axes. The left system illustrates a region $\nabla^\circ \subseteq \Delta = \Delta_1 + \Delta_2$, with filled gray polygons and marked points (using star symbols) at key locations such as vertices of triangles and...
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\documentclass[12pt,a4paper]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz} \usepackage{xcolor} \begin{document} \begin{tikzpicture} \node (0) at (0, 4) {$v_{i,0}^4$}; \node[red] (19) at (-1, 5) {}; \node (1) at (0, 2) {$v_...
Description: The image shows a hierarchical tree diagram rendered in TikZ, with nodes labeled as $v_{i,0}^k$, $v_{1,1}^k$, $v_{1,2}^k$, $v_{1,3}^k$, and $v_{1,4}^k$ arranged vertically and horizontally to represent a structured layout. Red dashed lines connect certain nodes to indicate relationships or paths, while sol...
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\documentclass[12pt]{amsart} \usepackage[T1]{fontenc} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz} \usetikzlibrary{shapes} \begin{document} \begin{tikzpicture}[ level distance=2cm, level 1/.style={sibling distance=7cm}, level 2/.style={sibling distance=3.5cm}, level 3/.style={sibling di...
Description: The image shows a binary tree diagram with nodes labeled either $\lambda$, 1, 0, or numbers inside circles, arranged in a hierarchical structure growing downward. Internal nodes are filled white with black borders, while leaf nodes are filled black with white text for contrast. The tree has three levels: t...
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\documentclass[preprint,11pt,3p]{elsarticle} \usepackage{amsmath,amsthm,amsfonts,amssymb,arydshln} \usepackage{xcolor} \usepackage{tikz} \usetikzlibrary{arrows.meta, positioning} \usepackage{tikz} \pgfdeclarelayer{bg} \pgfsetlayers{bg,main} \usepackage{tikz,xcolor} \DeclareRobustCommand{\orcidicon}{% \begin{tikzpictur...
Description: The image shows a directed graph with a central vertex labeled $v_1$ and four blade-like structures radiating outward, each containing three vertices arranged in a triangular pattern. Each blade forms a cycle of directed edges, with arcs bending left or right to indicate directionality. The central vertex ...
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\documentclass[10pt,twocolumn]{article} \usepackage[utf8]{inputenc} \usepackage{amsmath,physics} \usepackage{tikz,yquant,amsfonts} \usetikzlibrary{quotes, calc} \begin{document} \begin{tikzpicture} \begin{yquant} qubit {$q_0: \ket{0}$} x_reg; qubit {$q_1: \ket{0}$} x_reg[+1]; qubit {$\vdo...
Description: The image shows a quantum circuit diagram rendered using the `yquant` package in TikZ, illustrating a sequence of quantum operations across multiple qubits. It consists of vertical lines representing qubit registers, with labeled qubits such as $q_0$ through $q_{n-1}$ and an additional target ancilla qubit...
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\documentclass[12pt]{article} \usepackage{amsmath,mathdots} \usepackage{amssymb} \usepackage{amsmath,amssymb,amsfonts,amsthm} \usepackage{tikz} \usepackage{tikz} \usetikzlibrary{matrix,arrows} \usetikzlibrary{positioning} \usetikzlibrary{fit} \usetikzlibrary{patterns} \usepackage[colorlinks, linkcolor=blue, anchorcolor...
Description: The image is a 9×9 grid drawn with thin black lines, labeled along the edges from 1 to 8. Two rectangles are drawn with thick lines: one spans columns 1–3 and rows 1–7, and the other spans columns 4–5 and rows 1–7. Several circles are placed at specific coordinates: large black circles (radius 8pt) with sm...
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\documentclass[12pt]{amsart} \usepackage{tikz,url} \usepackage{amsmath,amssymb} \begin{document} \begin{tikzpicture}[xscale=1.1] \coordinate (0) at (0,0); \coordinate (a) at (-2,1); \coordinate (b) at (-1,1); \coordinate (c) at (0,1); \coordinate (d) at (1,1); \coordinate (e) at (2,1); \coordinate (ab) at (-3,...
Description: This image is a TikZ diagram representing the Hasse diagram of the power set of a 5-element set $\{a, b, c, d, e\}$, visualizing the inclusion relationships between subsets. The layout uses a hierarchical structure with nodes positioned vertically and horizontally to reflect subset inclusion: the empty set...
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\documentclass[a4paper]{article} \usepackage[utf8]{inputenc} \usepackage{amsmath} \usepackage{amssymb} \usepackage{amsfonts,amssymb} \usepackage{tikz-cd} \usetikzlibrary{cd} \usetikzlibrary{cd} \begin{document} \begin{tikzpicture}[scale=0.7, every node/.style={circle, fill, inner sep=1.2pt}] \node[fill=black] (v1) ...
Description: The image shows a graph with eight black circular nodes arranged in a specific geometric pattern, forming a structure that includes both a square and a diamond shape. The nodes are connected by thick lines: black lines form the outer edges of the square and diamond, while red lines connect diagonally acros...
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displacement
\documentclass[journal,10pt]{IEEEtran} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amsmath,amssymb,amsfonts} \usepackage{xcolor} \usepackage{tikz} \usepackage{pgfplots} \pgfplotsset{compat=1.18} \usepgfplotslibrary{statistics} \usetikzlibrary{positioning,shapes.geometric,arrows.meta,calc} \begin{d...
Description: The image shows a horizontal schematic diagram of a viaduct structure with a reinforced-concrete deck labeled "412 m" at the bottom. The deck is divided into eight equal clusters, each marked with a gray bracket and labeled "C1" through "C8". Within each cluster, 8 blue circular nodes are evenly spaced alo...
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displacement
\documentclass[11pt]{amsart} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz} \usetikzlibrary{positioning} \usepackage{tikz-cd} \tikzcdset{ cells={font=\everymath\expandafter{\the\everymath\displaystyle}}, } \usepackage{xcolor} \begin{document} \begin{tikzpicture}[x=0.75pt,y=0.75pt,yscale=-1,xscale=1...
Description: The image depicts a complex geometric diagram composed of multiple intersecting lines and arrows, rendered in a single color scheme using TikZ. It features three main triangular structures with labeled nodes at their vertices, connected by straight lines and curved arrows. The lines are drawn in a bright g...
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displacement
\documentclass[11pt,draftclsnofoot,journal,letterpaper, onecolumn]{IEEEtran} \usepackage{amsmath,amssymb,amsfonts} \usepackage{xcolor} \usepackage{color,xcolor,colortbl} \usepackage{tcolorbox} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing} \usetikzlibrary{tikzmark,calc,matrix,positioning,arrows.meta} \be...
Description: The image shows a horizontal rectangular box divided into two equal vertical halves by a central vertical line. The top half is labeled $x_{ij}=1$ and the bottom half $x_{ij}=0$, indicating binary states. Two vertical dashed lines are drawn at $x = -1$ and $x = 3$, with text labels positioned above and bel...
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displacement
\documentclass[reqno]{amsart} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amsmath} \usepackage{amsfonts,amssymb,amsmath,latexsym,mathrsfs,bbm,stmaryrd} \usepackage[usenames]{color} \usepackage{tikz} \usetikzlibrary{arrows.meta,decorations.markings} \begin{document} \begin{tikzpicture}[line cap=ro...
Description: The image shows a TikZ diagram with two concentric circles, one larger (outer radius 2.4) and one smaller (inner radius 1), centered at the origin. The outer circle is labeled with numbers 10, 5, 6, 7, 9, and 8 at evenly spaced angular positions, while the inner circle is labeled with numbers 1, 2, 3, and ...
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displacement
\documentclass{amsart} \usepackage{latexsym,amsmath,amsthm,verbatim,ifthen,amssymb,graphicx,color} \usepackage{color} \usepackage{tikz} \usetikzlibrary{tikzmark, calc} \tikzset{every picture/.style={remember picture}} \usetikzlibrary{3d} \usetikzlibrary{decorations.pathmorphing} \usetikzlibrary{matrix} \begin{document...
Description: The image consists of multiple colored rectangles arranged in a horizontal layout, with green, orange, blue, and red fill colors. Each rectangle is thick-lined and positioned to form a structured pattern, with some rectangles grouped together to represent mathematical operations or components. The layout i...
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displacement
\documentclass[reqno]{amsart} \usepackage{amssymb,latexsym,upref,enumerate,fouridx} \usepackage{mathrsfs,color} \usepackage[colorlinks,linkcolor=blue,citecolor=blue]{hyperref} \usepackage{tikz} \newcommand{\hb}{\bar{h}{}} \newcommand{\hc}{\mathcal{h}{}} \newcommand{\xtt}{\mathtt{x}{}} \begin{document} \begin{tik...
Description: The image shows a horizontal line segment divided into three regions labeled $V_0 = -1$, $V_0 = 1$, and $V_0 = -1$ from left to right. Vertical dashed lines are drawn at $\xtt = -1$, $\xtt = 0$, and $\xtt = 1$, with corresponding labels. Red arrows indicate the direction of motion along the line, with diff...
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displacement
\documentclass{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amsmath,amssymb} \usepackage{xcolor} \usepackage{tikz} \usetikzlibrary{arrows.meta,positioning,fit,calc} \begin{document} \begin{tikzpicture}[ font=\small, node distance=9mm and 18mm, block/.style={ draw, rounded co...
Description: The image shows a TikZ diagram with two vertically aligned rounded rectangles labeled "Run $\rho$ topology $G$, rhetoric $R$" and "Run $\rho'$ topology $G'$, rhetoric $R'$", followed by two rightward-aligned blocks labeled "Per-agent token exposure traces" and "Enforced belief trajectories". Arrows connect...
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displacement
\documentclass{article} \usepackage{amsmath,amssymb,amsfonts} \usepackage{xcolor} \usepackage{tikz} \usepackage{tikz-3dplot} \begin{document} \begin{tikzpicture}[ every node/.style={circle,draw,fill=white,inner sep=3pt}, spine/.style={thick} ] \foreach \i in {1,...,5}{ \node (s\i) at ({1.2*(\i-1)},0) {}; ...
Description: The image shows a series of interconnected nodes arranged in a structured layout, forming a spine with branching lines. Five main nodes are placed horizontally along the x-axis, connected by thick lines to form a backbone. From each main node, three vertical lines extend upward, creating a ladder-like stru...
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displacement
\documentclass{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amsmath} \usepackage{colortbl} \usepackage{color} \usepackage{tikz} \usetikzlibrary{arrows.meta,positioning,fit,calc} \begin{document} \begin{tikzpicture}[ box/.style={draw, rounded corners, align=center, minimum height=7mm, mi...
Description: The image is a TikZ diagram illustrating a cognitive architecture with labeled components arranged vertically and horizontally. At the top, a "Context" box connects downward to an "Elastic Memory Orchestrator," which then connects to an "LLM" (Large Language Model). From the LLM, two arrows extend to "Cogn...
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displacement
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tikz-sketch-splits

Synthetic-sketch data augmentation splits generated from loss-boss/tikz-train, for sketch-to-TikZ model training/evaluation.

Each row in loss-boss/tikz-train has two source variants:

  • with_text (image_with_text/code_with_text/llm_description_with_text)
  • without_text (image_without_text_full/code_without_text_full/llm_description_without_text_full only populated for a minority of rows)
  • For every row processed here, one variant was picked at random (falling back to the other if the drawn one wasn't populated for that row) and its image, code, and description were kept correctly paired and never mixed across variants.

Splits

split rows method
displacement ~410k classical Gaussian-filtered random pixel-displacement warp (alpha=8, sigma=3) applied to the clean rendered image
ultrasketch ~100k nllg/ultrasketch, a fine-tuned img2img diffusion model, applied to the clean rendered image
benchmark 500 held-out benchmark set (see below) - not training data; 250 rows each method, distinguished by the sketch_method column

Columns (displacement / ultrasketch)

  • image: the sketch
  • code: the TikZ source, correctly paired with image per the rule above
  • description: LLM-generated description of the figure, may be null (not populated for every row, especially with_text variant rows)
  • source_variant: "with_text" or "without_text", which source pair in loss-boss/tikz-train this row came from
  • sketch_method: "displacement" or "ultrasketch", constant within a split, kept for convenience when the two splits are concatenated

Benchmark split (benchmark)

Built from a different source than the two splits above: a local 500-sample manifest (simple_llm_description - descriptions//images//references//manifest.csv), one row per sample (no with-text/without-text variant). All 500 rows live in this separate split, randomly assigned 50/50 between the two methods and distinguished per-row by sketch_method.

Columns:

  • image (the sketch)
  • code (the row's TikZ source, unchanged)
  • description (the manifest's LLM-generated description file's full content)
  • source_variant (always null - included only so this split shares the exact same schema as displacement/ ultrasketch; there's no with-text/without-text pairing in this source)
  • sketch_method ("displacement" or "ultrasketch", varies per row within this split).
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