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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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\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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\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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\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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\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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\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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\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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\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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\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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\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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\documentclass[11pt]{amsart} \usepackage[linkcolor=blue, citecolor = blue]{hyperref} \usepackage{amsmath, amsfonts, amsthm, amssymb} \usepackage{tikz} \usetikzlibrary{decorations.markings} \usetikzlibrary{decorations.pathmorphing} \usetikzlibrary{matrix,decorations.pathreplacing} \pgfkeys{tikz/mymatrixenv/.style={decor...
Description: The image shows a vertical schematic diagram with a red snake-like line segment and several blue arrows indicating direction. A black dot is placed at the bottom of the red line, and a label "b" appears near the middle of the diagram. Above the red line, there are two blue vertical arrows: one from the top...
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\documentclass[11pt]{article} \usepackage{amsmath, amssymb, amsthm} \usepackage{tikz} \usepackage{tikz} \usetikzlibrary{positioning, arrows.meta, fit} \begin{document} \begin{tikzpicture}[ node distance=1cm and 1cm, neuron/.style={circle, draw=black, thick, minimum size=7mm}, line/.style={thick} ] \node[...
Description: This image depicts a feedforward artificial neural network diagram with three distinct sections: an input layer (blue nodes labeled $a$, $b$, $\boldsymbol{\theta}$), a hidden layer (green nodes), and an output layer (red node labeled $\hat{y}$). Additional partial layers are shown on the right with blue no...
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\documentclass[12pt]{amsart} \usepackage{amsmath,times,epsfig,amssymb,mathtools,braket,amsbsy,amscd,amsfonts,amstext,color,bm,mathrsfs} \usepackage[table, svgnames, dvipsnames]{xcolor} \usepackage[color,matrix,arrow]{xypic} \usepackage{tikz} \usetikzlibrary{arrows.meta} \usetikzlibrary{arrows} \...
Description: The image shows a circular arrangement of six labeled nodes (a through f) positioned around a central point, with lines connecting each pair of nodes. Each node is represented as a circle labeled with a letter, and the connections between nodes are drawn as straight lines with colored thicknesses. Numbers ...
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\documentclass{article} \usepackage{amsmath,amssymb,amsfonts} \usepackage{xcolor} \usepackage{tikz} \usetikzlibrary{matrix,positioning} \usetikzlibrary{calc} \begin{document} \begin{tikzpicture}[ scale=0.9, % change this value to resize (e.g., 0.7, 0.9, 1.1) transform shape, >=latex, box/.style={ ...
Description: The image is a TikZ diagram showing a hierarchical relationship among five labeled rectangular nodes representing different types of contraction mappings in mathematics. The layout is vertically structured with "Kannan contraction" at the bottom, branching into "Kannan $F$-contraction" on the left and "$S^...
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\documentclass{article} \usepackage{amsmath,amssymb,amsthm} \usepackage{xcolor,graphicx} \usepackage{tikz} \usetikzlibrary{calc} \usepackage[pdfauthor={derajan},pdfstartview=XYZ,bookmarks=true, colorlinks=true,linkcolor=blue,urlcolor=magenta,citecolor=blue,pdftex,bookmarks=true,linktocpage=true,hyperindex=true]{hyperre...
Description: The image depicts a graph structure composed of three main rectangular regions labeled $A_1$, $A_2$, and $B$, arranged vertically. The top region $B$ is a horizontal rectangle, while the bottom two regions $A_1$ and $A_2$ are smaller rectangles positioned side by side beneath $B$. Each $A_i$ contains a bla...
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\documentclass[aps,prd,nofootinbib,preprint,superscriptaddress]{revtex4-2} \usepackage{amsmath, amssymb, mathtools, bm, dcolumn, array, multirow} \usepackage{xcolor} \usepackage[compat=1.1.0]{tikz-feynman} \tikzfeynmanset{warn luatex=false} \usepackage[colorlinks=true,linkcolor=blue,citecolor=blue]{hyperref} \begin{do...
Description: The image displays a Feynman diagram representing particle interactions, with labeled vertices and lines indicating different particle types. The layout shows a horizontal sequence of particles: $N_1$, $N_j$, $H/\phi$, and $\phi$, with additional fermion and scalar lines connecting them. The diagram includ...
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\documentclass[10pt]{article} \usepackage{amsmath,amsfonts,bm} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz} \usetikzlibrary{tikzmark} \begin{document} \begin{tikzpicture}[overlay,remember picture] \draw[red] ([shift={(-1ex,2ex)}]pic cs:b93s) rectangle ([shift={(1ex,-0.5ex)}]pic cs:b93e); \draw[...
Description: The image shows a LaTeX document rendered with TikZ overlay annotations, where red rectangular boxes are drawn around specific points marked by `pic cs:` coordinates. These rectangles are positioned using shifts relative to the marked points, and they appear to highlight or delimit certain elements in the ...
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\documentclass{article} \usepackage{tikz} \usetikzlibrary{patterns} \usepackage{pgfplots} \pgfplotsset{compat=1.18} \usetikzlibrary{math} \usepackage[colorlinks]{hyperref} \begin{document} \begin{tikzpicture} \begin{axis}[% width=3.328cm, height=2.625cm, at={(0cm,0cm)}, scale only axis, xmin=-1.80368098159509, xmax=...
Description: This image displays a TikZ/PGFPlots diagram with a single, complex plot embedded in a minimal axis environment. The plot consists of two lines: a dashed black line forming a polygonal path that traces a roughly diamond-shaped figure, and a solid blue line representing a smooth, curved data trajectory. The ...
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\documentclass{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amsmath} \usepackage{xcolor} \usepackage{tikz} \usetikzlibrary{arrows.meta, positioning, shapes.geometric, calc, decorations.pathreplacing} \usepackage{pgfplots} \pgfplotsset{compat=1.18} \usepgfplotslibrary{units} \begin{document...
Description: This image is a horizontal bar chart comparing the accuracy (%) of different language models across three Arabic benchmarks: COPA-ar (blue), HellaSwag-ar (teal), and ArabicMMLU (orange). The y-axis lists seven models, with "Ours (0.5B)" highlighted in bold and emphasized by a red dashed line spanning the c...
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\documentclass[12pt]{amsart} \usepackage[colorlinks=true,citecolor=black,linkcolor=black,urlcolor=blue]{hyperref} \usepackage{amsmath} \usepackage[utf8]{inputenc} \usepackage{amssymb} \usepackage{color, url} \usepackage{xcolor} \usepackage{color, url} \usepackage{pgf, tikz} \usetikzlibrary{decorations.pathreplacing} \...
Description: The image shows a simple TikZ diagram consisting of five adjacent rectangles arranged in a stepped pattern, forming a staircase-like structure. Each rectangle is filled with a light pink color and has a black outline. The layout starts at the bottom-left corner and ascends diagonally to the top-right, with...
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\documentclass[aps,prd,twocolumn,superscriptaddress,nofootinbib,floatfix]{revtex4-2} \usepackage[T1]{fontenc} \usepackage[utf8]{inputenc} \usepackage[reqno]{amsmath} \usepackage{amssymb,bm,mathtools} \usepackage{xcolor} \usepackage{tikz} \usetikzlibrary{arrows.meta,positioning,calc,matrix} \usepackage{pgfplots} \pgfplo...
Description: The image displays a logarithmic plot of cross section versus mass for virtual lepton quartic (VLQ) particles, with three distinct curves: a solid blue line representing pair production, a dashed red line for single production with $\theta_L^b \sim 0.1$, and a horizontal dotted gray line indicating the HL-...
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\documentclass[twocolumn,superscriptaddress, reqno, nobibnotes, aps, prb,showpacs,footinbib]{revtex4-2} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz} \usetikzlibrary{math} \usetikzlibrary{matrix} \usepackage{pgfplots} \pgfplotsset{compat=1.16} \usepackage[colorlinks=true,linkcolor=blue,citecolor=blue,urlc...
Description: The image shows a circular diagram with a dashed blue arc spanning from the upper left to the lower right, and a solid arc continuing from the lower right back to the upper left. The circle has a radius of 1.5 units, and two labels are positioned along the arc: "ψ" at the top-left and "sₜ" (written as \und...
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\documentclass[11pt]{amsart} \usepackage{xspace,amssymb,amsmath,amscd,amsthm,bm, braket,comment,enumerate,,epsfig,etoolbox, hyperref, float, mathrsfs, mathtools, mdframed, multicol, tikz, tikz, ,ytableau, rotating} \usetikzlibrary{calc, tikzmark} \begin{document} \begin{tikzpicture}[scale =0.500,baseline=(current ...
Description: The image consists of a grid-like arrangement of rectangles in a TikZ diagram, with a total of six rectangles forming two rows and three columns in the upper section and two additional smaller rectangles below. The top row contains three full-sized rectangles aligned horizontally, while the second row has ...
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\documentclass{amsart} \usepackage{amsmath, amssymb} \usepackage[utf8]{inputenc} \usepackage{color,graphicx} \usepackage[colorlinks = true, linkcolor=blue, urlcolor=blue, citecolor=blue, anchorcolor=blue, backref=page]{hyperref} \usepackage{tikz} \begin{document} \begin{tikzpicture}[scale=1.2] \coordinate (A) at...
Description: The image shows two identical geometric constructions side by side, each consisting of a square with diagonals and internal lines forming a central diamond shape. The left construction uses black lines and points, while the right one mirrors it but highlights a red triangle at the top center. Both figures ...
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\documentclass[lettersize, journal]{IEEEtran} \usepackage{amsmath,amsfonts,amsthm} \usepackage{amssymb} \usepackage{tikz} \usepackage{pgfplots} \usepgfplotslibrary{fillbetween} \usepackage{tikz} \usetikzlibrary{matrix} \usetikzlibrary{arrows,automata} \usepackage{color, colortbl} \usetikzlibrary{patterns} \usetikzlibra...
Description: The image displays a vertically oriented plot with four distinct curves labeled $\delta_1(\rho)$ through $\delta_4(\rho)$, each representing a different functional form over the domain $\rho \in [1, 5]$. The x-axis is labeled $\rho$, and the y-axis is labeled $\delta(\rho)$, both with grid lines for refere...
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\documentclass[12pt,english]{article} \usepackage[T1]{fontenc} \usepackage[latin9]{inputenc} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz} \begin{document} \begin{tikzpicture}[scale=1.5,x=0.75pt,y=0.75pt,yscale=-1,xscale=1] \draw [color={rgb, 255:red, 177; green, 0; blue, 5 } ,draw opacity=1 ] (440....
Description: The image shows a TikZ diagram with several red lines connecting points in a roughly triangular arrangement, suggesting a geometric or network structure. Two small red-filled circular nodes are positioned near the center of the diagram, one at the intersection of some lines and another slightly offset. The...
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\documentclass[10pt]{article} \usepackage{amsmath,amsfonts,bm} \usepackage{amsmath} \usepackage{amssymb} \usepackage{xcolor} \usepackage{colortbl} \usepackage{tikz} \usepackage{pgfplots} \usepackage[most]{tcolorbox} \usetikzlibrary{calc,shapes,plotmarks,positioning,arrows} \usetikzlibrary{arrows.meta,decorations.markin...
Description: The image shows a red square drawn using TikZ at the center of the page, with dimensions set to 0.25\linewidth in both width and height, positioned relative to the origin. The square is outlined in red and has no fill, centered around the coordinate (0,0). A placeholder image is included behind the square ...
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\documentclass[12pt]{article} \usepackage[dvips]{color} \usepackage{xcolor} \usepackage{tikz} \usepackage{amssymb, mathtools} \begin{document} \begin{tikzpicture}[vec/.style={thick,-latex,draw=black},gauge/.style={circle,draw=black,inner sep=0pt,minimum size=15mm},flavor/.style={rectangle,draw=black,inner sep=0pt,min...
Description: The image shows a directed graph composed of six circular nodes arranged in a 2x3 grid, with labels indicating gamma symbols and subscripts. The nodes are connected by directed arrows (vectors) forming a network structure. The layout places three nodes horizontally at the top and three at the bottom, with ...
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\documentclass[]{article} \usepackage{amsmath} \usepackage{amssymb} \usepackage{color} \usepackage{tikz} \begin{document} \begin{tikzpicture}[baseline=-28] % horizontal bonds \draw (0,0) -- (1.2,0); \draw (1.2,0) -- (2.4,0); \draw (0.4,-2) -- (2.4,-2); % vertical legs (downward) \draw (1.2,0) -- (1.2,-2); \draw (2.4,...
Description: The image shows a chemical structure diagram with horizontal and vertical lines representing bonds between atoms or molecular fragments. It features two main horizontal rows of bonds, with vertical legs connecting them, forming a basic molecular framework. White circular and triangular shapes represent ato...
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\documentclass[12pt]{amsart} \usepackage{xcolor} \usepackage{amssymb} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \usepackage[latin1]{inputenc} \begin{document} \begin{tikzpicture} \draw[help lines, color=gray!60, step=1.2cm] (-3,-3) grid (3,3); \draw[thick,->] (0,-3.5) -- (0,3.5) ; \draw[...
Description: The image shows a 2D grid diagram with a gray dashed background grid spaced 1.2 cm apart, centered at the origin. Two thick black axes are drawn, one horizontal and one vertical, extending from -3.5 to 3.5 in both directions. The diagram contains multiple labeled points, each marked with a node containing ...
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\documentclass[10pt]{article} \usepackage{amsmath} \usepackage{amssymb} \usepackage{xcolor} \usepackage{tikz-cd} \usepackage{tikz} \begin{document} \begin{tikzpicture}[x=0.75pt,y=0.75pt,yscale=-1,xscale=1] \draw [fill={rgb, 255:red, 215; green, 215; blue, 215 } ,fill opacity=1 ] (199,110.5) .. controls (199,103.6...
Description: The image shows a geometric diagram with a central circular shape (likely a disk or capsule) positioned near the center of the canvas, outlined with a light gray fill and a black stroke. Two lines extend from the circle: one horizontal line to the left and one vertical line downward, both labeled with vari...
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\documentclass{article} \usepackage[utf8]{inputenc} \usepackage{amssymb, amsfonts} \usepackage[T1]{fontenc} \usepackage{amsmath} \usepackage{tikz} \usepackage{tikz-cd} \usepackage[most]{tcolorbox} \usepackage{tikz,tikz-3dplot,tikz-cd,tkz-tab,tkz-euclide,pgf,pgfplots} \begin{document} \begin{tikzpicture}[scale=2] ...
Description: The image shows a 2D plot with horizontal and vertical axes labeled $H(x)$ and $\nu$, respectively. A red shaded diamond-shaped region represents an intersection area, bounded by four orange lines forming a cone-like structure. The base of the cone intersects the x-axis at two blue points labeled $\alpha$ ...
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\documentclass[conference]{IEEEtran} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz} \usetikzlibrary{arrows.meta, positioning,calc} \usepackage{pgfplots} \pgfplotsset{compat=1.18} \usepackage{pgfplotstable} \begin{document} \begin{tikzpicture}[ box/.style={draw, rectangle, minimum width=1.2cm, minim...
Description: The image is a TikZ diagram illustrating a communication or information-theoretic system with labeled nodes and directional arrows. It features three main rectangular boxes: $f(\cdot)$ at the top, $W_{X^n|U^n,S^n}$ below it, and $g(\cdot)$ to the right. Inputs $M$, $K$, and $S^n$ are connected via arrows t...
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\documentclass[a4paper,10pt]{amsart} \usepackage{amssymb} \usepackage[utf8]{inputenc} \usepackage{tikz, fp, tikz-cd} \usetikzlibrary{patterns} \usetikzlibrary{arrows} \usetikzlibrary{decorations.pathreplacing} \usetikzlibrary{automata} \DeclareDocumentCommand{\corollagraft}{m m m m}{\raisebox{-0.5\height}{\begin{tikzpi...
Description: The image shows a directed tree diagram with four levels of nodes, where each node is connected to the one above it. The topmost node is unmarked (white circle), while the three lower nodes are filled black circles. The connections are straight lines extending from each node upward to the next level, formi...
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\documentclass[10pt]{amsart} \usepackage[T1]{fontenc} \usepackage[utf8]{inputenc} \usepackage{amsmath} \usepackage{amssymb} \usepackage[dvipsnames]{xcolor} \usepackage{tikz} \usepackage{tikz-cd} \usepackage[colorlinks=true, linkcolor=blue, citecolor=magenta]{hyperref} \begin{document} \begin{tikzpicture}[baseline={([...
Description: The image shows a symmetric geometric diagram centered around the origin, consisting of a dashed circle with radius 0.6 and two thick, curved lines forming a shape resembling a pair of crossed arcs or a stylized "X" inside the circle. The arcs are drawn with control points that create smooth curves interse...
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\documentclass{article} \usepackage{amsmath} \usepackage{amssymb} \usepackage{colortbl} \usepackage[table]{xcolor} \usepackage{tikz} \usetikzlibrary{positioning} \usetikzlibrary{calc} \begin{document} \begin{tikzpicture}[remember picture] \node[anchor=south west, inner sep=0] (image) at (-33,-1) { \includ...
Description: The image shows a rendered LaTeX document containing a large grayscale example image with a green circular marker placed at approximately 80% of the image width and 10% of the image height. The circle has a radius of 0.3 cm and is drawn with a thick green line. A green, bold, and italicized text label "Cir...
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\documentclass{amsart} \usepackage{mathrsfs, mathtools, amssymb, mathabx, stmaryrd, enumitem} \usepackage{tikz} \usepackage{tikz-3dplot} \usetikzlibrary{calc} \begin{document} \begin{tikzpicture}[scale=1.7, every node/.style={font=\small}] \coordinate (P1) at (0,0); \coordinate (P2) at (0.8,-0.6); \coordi...
Description: The image shows a 2D polygon with five vertices labeled A, B, C, D, and E, arranged in a roughly triangular shape with a central point. The polygon is drawn using directed arrows (lines with arrowheads) connecting the vertices in a specific order, forming a closed loop. The layout places vertex C at the bo...
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\documentclass{article} \usepackage{amsmath,amssymb,bm} \usepackage{tikz} \begin{document} \begin{tikzpicture}[node distance=2.2cm, auto, thick, state/.style={circle, draw, minimum size=0.8cm}] \node[state] (A1) at (0,1) {$s_1$}; \node[state] (A2) at (0,-1) {$s_2$}; \node[state, fill=gray!20] (B) at (3,0) {$s...
Description: The image shows a directed graph with three labeled nodes arranged in two metastable regions separated by a bottleneck state. The left region contains states $s_1$ and $s_2$, connected to each other and to a central bottleneck state $s_b$, which is shaded gray and located in the middle. The right region co...
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\documentclass[a4paper,11pt]{article} \usepackage[T1]{fontenc} \usepackage[utf8]{inputenc} \usepackage{xcolor} \usepackage{amsmath,amssymb,amsthm,mathtools,bm} \usepackage{tikz,booktabs,graphicx} \usetikzlibrary{intersections, calc, arrows.meta} \begin{document} \begin{tikzpicture}[>=Stealth,thick,scale=1.0] \node (F...
Description: The image displays a simple horizontal layout with two labeled nodes positioned along the x-axis: "Fredholm determinant $D(s)$" on the left and "Painlevé V $\tau$--function" on the right. A thick arrow connects these nodes, with an above-label indicating the logarithmic derivative relationship $q(s)=-\part...
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\documentclass[aps,pra,reprint,showpacs,longbibliography,superscriptaddress]{revtex4-2} \usepackage{amsmath,amssymb,amsfonts,bm} \usepackage{tikz} \begin{document} \begin{tikzpicture}[scale=0.82, every node/.style={font=\large}] \tikzstyle{blockS} = [rounded corners=4pt, thick, draw=black, fill=blue!10, ...
Description: The image shows a schematic diagram of a quantum system composed of three main components: a finite interacting subsystem $S$, an environment $E$, and an external bath $F_E$. The subsystem $S$ is represented as a blue-shaded rounded rectangle labeled "Subsystem", while the environment $E$ is a gray-shaded ...
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\documentclass[12pt,a4paper,reqno]{amsart} \usepackage{amssymb,enumitem,mathrsfs} \usepackage[T1]{fontenc} \usepackage{tikz} \usetikzlibrary{arrows,arrows.meta,calc,cd} \tikzset{ >=Stealth, node distance=2.5cm, main node/.style={circle,inner sep=1pt,fill=gray!20}, freccia/.style={->,shorten >=2pt,shorten <=2pt,semithic...
Description: The image shows a directed graph with five labeled nodes (1 through 5) arranged horizontally in a line. Each node is represented as a small gray circle with a black outline, and the nodes are connected by directed arrows (edges). Self-loops are drawn as curved arrows from each node back to itself, while co...
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\documentclass{amsart} \usepackage[utf8]{inputenc} \usepackage{xcolor} \usepackage{tikz} \usetikzlibrary{arrows.meta} \usetikzlibrary{calc} \pgfmathsetseed{3} \usepackage{amssymb} \usepackage{amsmath} \usepackage{tikz-cd} \usetikzlibrary{arrows} \tikzset{ curvarr/.style={ to path={ -- ([xshift=2ex]\tikztostart.east) ...
Description: The image shows a schematic diagram with vertical red lines labeled $E$ and $E'$ on the left and right sides, respectively, representing energy components. Black and purple lines connect various points to form a network of links, with labels $L_x$, $L_y$, and $L_z$ indicating specific connections. Blue hor...
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\documentclass[11pt]{amsart} \usepackage{amssymb,amsthm,amsfonts,latexsym,mathtools} \usepackage{amsmath} \usepackage[utf8]{inputenc} \usepackage{color} \usepackage{tikz} \usepackage{tikz-cd} \usetikzlibrary{arrows.meta, positioning} \usetikzlibrary{shapes,arrows} \begin{document} \begin{tikzpicture}[line join=round,...
Description: The image shows a simple undirected graph with six vertices and eight edges, rendered in black lines on a white background. The layout consists of three vertical columns: the left column has two vertices at the top and bottom, the center column has one vertex (the center), and the right column has two vert...
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\documentclass{article} \usepackage{amsmath} \usepackage{amssymb} \usepackage[dvipsnames]{xcolor} \usepackage{color} \usepackage{tikz} \usetikzlibrary{arrows.meta,decorations.pathmorphing,decorations.markings,backgrounds,positioning,fit,petri} \begin{document} \begin{tikzpicture}[baseline={([yshift=-.4ex]current bou...
Description: The image shows a TikZ diagram representing a fusion layer with black circular nodes positioned at the corners of a square grid. The grid has vertical lines labeled $b_i$ and $b_{i+1}$ on the left and right sides, respectively, and a horizontal line labeled $a_i$ at the bottom. The layout includes a solid ...
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\documentclass{article} \usepackage{amsmath} \usepackage{amssymb} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{xcolor} \usepackage{tikz} \usetikzlibrary{arrows} \usetikzlibrary{calc} \usetikzlibrary{arrows.meta} \usepackage[colorlinks=true]{hyperref} \begin{document} \begin{tikzpicture}[auto] \nod...
Description: The image shows a simple commutative diagram with three nodes positioned vertically: "Λ^n_j" at the top left, "C" at the top right, and "Δ^n" at the bottom left. A solid arrow points from "Λ^n_j" to "C", a double-headed arrow points from "Λ^n_j" to "Δ^n", and a dashed arrow connects "Δ^n" to "C". All arrow...
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\documentclass[11pt]{article} \usepackage{amssymb} \usepackage{amsmath} \usepackage{xcolor} \usepackage{tikz} \begin{document} \begin{tikzpicture}[x=0.8cm,y=0.8cm] \foreach \r in {1,...,7} { \foreach \c in {1,...,6} { \pgfmathtruncatemacro{\miss}{ (\r==2) || (\r==7) } \pgfmathsetmacro{\...
Description: The image displays a 7-row by 6-column grid of square cells, each cell sized 1cm × 1cm, arranged in a Cartesian coordinate system. The rows are numbered from 1 to 7 (top to bottom) and columns from 1 to 6 (left to right). Cells in rows 2 and 7 are outlined with no fill and contain a star symbol ($\star$), ...
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\documentclass[11pt]{article} \usepackage{amsmath, amsthm, amssymb} \usepackage[colorlinks,allcolors=blue]{hyperref} \usepackage{tikz} \usepackage{tikz-cd} \usetikzlibrary{arrows} \usetikzlibrary{shapes.geometric} \usetikzlibrary{decorations.markings} \usetikzlibrary{decorations.pathreplacing} \usetikzlibrary{hobby} \u...
Description: The image shows a single, smooth, closed curve rendered in black using TikZ, created by plotting parametric equations that define a complex, flower-like shape with multiple lobes. The curve is drawn with a thick line and is filled with a transparent color, forming a symmetrical, intricate pattern that rese...
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\documentclass[12pt,letter]{amsart} \usepackage{amssymb,tikz-cd} \usepackage{amsfonts,amssymb, amscd, latexsym, graphicx, psfrag, color,float} \begin{document} \begin{tikzpicture}[x=0.75pt,y=0.75pt,yscale=-1,xscale=1] \draw (230.5,230.25) -- (309.5,150) ; \draw (309.5,150) -- (419,149.25) ; \draw (309.5,150...
Description: The image depicts a TikZ diagram with three labeled nodes arranged in a triangular layout, each containing a set of points connected by straight lines to form a geometric structure. The first node, labeled $\{0\}$, is positioned at the top center and connects to two other nodes labeled $1$ and $2$. The sec...
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\documentclass{article} \usepackage[utf8]{inputenc} \usepackage{xcolor} \usepackage{tcolorbox} \usepackage{tikz} \usetikzlibrary{positioning, shadows} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tcolorbox} \usetikzlibrary{shadings,shadows,positioning} \begin{document} \begin{tikzpicture}[ node distance=...
Description: The image shows a TikZ diagram with two horizontal rows of circular nodes representing levels in a simulated tempering model. The top row, labeled "Level 2 (Target)," contains two nodes: a large blue circle labeled $Z_{2,1}$ and a small gray circle labeled $Z_{2,2}$. The bottom row, labeled "Level 1 (Cold)...
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\documentclass[aps,preprint,nopacs,nofootinbib,floatfix,superscriptaddress]{revtex4-1} \usepackage{amsmath,amssymb,amsfonts,float,color,graphicx,graphics,latexsym,placeins,epsfig,multirow,bm,physics,bbold,enumitem,array,footmisc} \usepackage{amsmath,amssymb} \usepackage[dvipsnames]{xcolor} \usepackage{tikz} \usepackage...
Description: The image shows a Feynman diagram representing a particle interaction process, with four labeled vertices along a horizontal axis. The diagram includes two incoming photon lines from the left, one solid and one dashed, both labeled with momentum $\vec{p}$, and two outgoing photon lines to the right, simila...
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\documentclass[runningheads]{llncs} \usepackage[T1]{fontenc} \usepackage{color} \usepackage{amsmath,amssymb,paralist} \usepackage{tikz} \usetikzlibrary{arrows,arrows.meta, automata, positioning, shapes.geometric} \usepackage{tcolorbox} \begin{document} \begin{tikzpicture}[scale=0.7, every node/.style={minimum size=1c...
Description: The image shows a grid layout with four columns and three rows, rendered as a series of colored rectangles. The grid is offset vertically and labeled with x-coordinates (0 to 3) above the top row and y-coordinates (0 to 2) on the left side. Red cells are placed in the bottom row (positions 0,1,2,0,2,2,3), ...
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\documentclass[11pt,a4paper]{report} \usepackage{amssymb} \usepackage{amsmath} \usepackage{color} \usepackage{xcolor,colortbl} \usepackage{tikz} \usepackage[T1]{fontenc} \usepackage{inputenc} \usepackage{pgfplots} \begin{document} \begin{tikzpicture}[scale=0.95] \draw[fill=gray!10,draw=none](-2.5,0.4) rectangle (2.5,...
Description: The image shows a simple TikZ diagram with a light gray rectangular background spanning from -2.5 to 2.5 on the x-axis and from 0.4 to 2 on the y-axis. Two horizontal lines are drawn at y = 0.4 and y = 2, forming the top and bottom of the rectangle. Several vertical lines are drawn at different x-positions...
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\documentclass[11pt, reqno]{amsart} \usepackage{amsmath, amssymb} \usepackage{color} \usepackage{tikz} \begin{document} \begin{tikzpicture}[scale=0.5, baseline={(0,0.8)}, densely dashed] \draw[->, solid] (0,3) -- (0,1); \draw[<-, solid] (2,3) -- (2,1); \draw (0,2) -- (2,2); \node at (-0.5, 2.7) {$i$}; \node at (2.5,...
Description: The image shows a TikZ diagram with two vertical lines positioned side by side, each representing a coordinate axis. The left line extends from (0,1) to (0,3) with an upward arrowhead, and the right line extends from (2,1) to (2,3) with a downward arrowhead. A horizontal line connects the two vertical line...
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\documentclass[reqno,11pt]{amsart} \usepackage{amsfonts,amsmath, amssymb} \usepackage[colorlinks,linkcolor=blue,anchorcolor=red,citecolor=blue]{hyperref} \usepackage{color} \usepackage{tikz} \usetikzlibrary{decorations,arrows} \begin{document} \begin{tikzpicture}[scale=1.5] % Axes \draw[->] (0,0) -- (2.5,0) node[r...
Description: The image shows a 2D coordinate system with axes labeled $\rho$ (horizontal) and $\mathcal{M}$ (vertical). A curve representing a function $f(\rho) = 4\rho^2 - 2\rho^3$ is plotted, starting from the origin, rising to a peak, and then declining. The curve is split into two segments: a dashed portion up to a...
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\documentclass{article} \usepackage{amsmath} \usepackage{amssymb} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage[table]{xcolor} \usepackage[most]{tcolorbox} \usepackage{amsmath} \usepackage{tikz} \usetikzlibrary{positioning,calc,arrows.meta,fit} \begin{document} \begin{tikzpicture}[ font=\small,...
Description: The image is a structured TikZ diagram illustrating the architecture of a system composed of multiple interconnected components, organized into distinct layers and branches. At the top, three input artifacts labeled $P$, $M$, and $S$ are displayed as blue rounded rectangles aligned horizontally. These feed...
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\documentclass[11pt]{article}% \usepackage{amsmath,amsfonts,amssymb} \usepackage{tikz-cd} \begin{document} \begin{tikzpicture} \node at (3,0) {$X_{-1}$}; \draw[->] (3.5,0)--(4.5,0); \node at (4,0.3) {$\partial$}; \node at (5,0) {$X_0$}; \draw[->] (5.5,0)--(6.5,0); \node at (6,0.3) {$\partial$}; \node at (7,0...
Description: The image shows a horizontal sequence of four nodes labeled $X_{-1}$, $X_0$, $X_1$, and $X_2$, arranged from left to right with arrows between them indicating a chain complex. Each arrow is labeled with $\partial$, representing boundary maps. Additional curved arrows connect the nodes in the opposite direc...
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\documentclass{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amsmath,amssymb} \usepackage{xcolor} \usepackage{tikz} \usetikzlibrary{arrows,matrix} \usepackage{tikz-network} \tikzset{ block/.style = {draw, fill=white, rectangle, minimum height=.75cm, minimum width=1.25cm}, Circle/.sty...
Description: The image shows a simple directed graph with a central node labeled $0$ (in blue) and three surrounding nodes labeled $1$, $4$, and $5$ (in red), all connected to the central node via blue edges labeled $w_{10}$, $w_{40}$, and $w_{50}$. The layout is centered with the central node at the origin, and the su...
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\documentclass[11pt,a4paper]{amsart} \usepackage{amssymb} \usepackage[dvipsnames]{xcolor} \usepackage{tikz} \usepackage{tikz-cd} \usetikzlibrary{calc} \usetikzlibrary{decorations.pathmorphing} \usetikzlibrary{decorations.pathreplacing} \tikzset{ vertex/.style={ circle, minimum size=1.8mm, fill, inner sep=0, ...
Description: The image shows a circular graph with eight vertices labeled from 1 to 8 around the circumference, positioned at equal angular intervals. Each vertex is represented as a small filled circle, and lines connect specific pairs of vertices, forming a network structure. The layout is centered with a clear circu...
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