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\documentclass[10pt, oneside]{amsart}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{color}
\usepackage[usenames,dvipsnames,svgnames,table]{xcolor}
\usepackage[utf8]{inputenc}
\usepackage[colorlinks=true, pdfstartview=FitV,linkcolor=ForestGreen,citecolor=ForestGreen, urlcolor=black]{hyperref}
\usepackage{tikz}
... | The diagram consists of two main rectangles, one larger and one smaller, both outlined in blue. The larger rectangle is positioned horizontally at the top, with its right edge labeled "Q1". Inside this larger rectangle, there is a smaller purple rectangle, which is also outlined in blue. This smaller rectangle is cente... | datikz-v2_test_0 | \small{For a solution in $Q_1$, we prove Hölder continuity \ref{thm:holder} in $Q_{\frac{1}{2}}$. The Intermediate Value Lemma \ref{thm:IVL} relates $Q_{r_0}$ to $Q^-_{r_0}$ in the past. The Weak Harnack inequality \ref{eq:weakH} relates $Q_{\frac{r_0}{2}}$ with $\tilde Q^-_{\frac{r_0}{2}}$ and the Not-so-Strong Harnac... | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[review]{elsarticle}
\usepackage{tikz}
\usepackage{amsmath}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}
\draw (0,0) circle(1.5cm);
\fill[black!70] (0,0) circle(1.5cm);
\fill[white] (0,0) -- (-90:1.5cm) arc (-90:90:1.5cm) -- cycle;
\draw (0,0) -- (1.06,1.06);
\draw node at (0.5,0.1) {$R_... | The diagram illustrates a simplified model of a planetary transit scenario. On the left side, there is a large, dark circle representing a planet with a smaller, lighter-colored circle inside it, indicating the planet's atmosphere or cloud layer. This inner circle is labeled "R_p" in green. The planet is emitting light... | datikz-v2_test_1 | The isotropic irradiation approximation. The starlight incidents on the dayside of the planet isotropically through the area $\pi R_p^2$. Due to atmospheric heat redistribution from dayside to nightside (shown in green arrow), the redistribution parameter is altered. The energy emitted from the dayside of a hot Jupiter... | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[reqno,12pt,letterpaper]{amsart}
\usepackage{amsmath,amssymb,amsthm,graphicx,mathrsfs,url}
\usepackage[usenames,dvipsnames]{color}
\usepackage[colorlinks=true,linkcolor=Red,citecolor=Green]{hyperref}
\usepackage{tikz}
\usetikzlibrary{arrows.meta}
\begin{document}
\begin{tikzpicture}
\node at (0,0) {\inc... | The diagram consists of two identical rectangular sections side by side, each labeled "Image" at the top center. Within each rectangle, there is a smaller square positioned in the bottom right corner, marked with the Greek letter alpha (α). The rectangles are divided into four quadrants by diagonal lines extending from... | datikz-v2_test_2 | Bifurcation for $B=0.1$. (Top): The color-coding indicates the position of the Dirac points for given values of $\alpha \in \mathbb R.$ The right figure illustrates the bifurcation at $\Gamma$ and the left figure at a non-equivalent (modulo $\Lambda^*$) bifurcation point that is a vertex of the boundary of the Brilloui... | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[reqno,12pt]{amsart}
\usepackage{amsmath,graphicx,amssymb,amsthm}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{color}
\usepackage{tikz-cd}
\begin{document}
\begin{tikzpicture}[line width=0.8pt]
\draw[->] (0,-2) -- (1,0); \draw[->] (1,-2) -- (2,0); \draw[->,dashed] (2,-2) -- (0,0);
\node at ... | The diagram consists of two separate sections, each depicting a series of numbered points connected by lines with arrows indicating direction. In the first section, labeled "1," there are three points arranged in a triangular formation: point 1 is at the top left, point 2 is directly below point 1, and point 3 is at th... | datikz-v2_test_3 | An example of $3$-ary cloning in the symmetric groups. Here we see that $(1~2~3)\varsigma_3^3 = (1~4~2~5~3)$. The arrow getting ``cloned'' is dashed, as are the three arrows resulting from the cloning. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[amsmath,twocolumn,pra,longbibliography,superscriptaddress]{revtex4-2}
\usepackage{amsthm,amssymb,amsfonts,graphicx,verbatim, xcolor,bm,ulem}
\usepackage[utf8]{inputenc}
\usepackage{colortbl}
\usepackage{tikz}
\usepackage{pgfplots}
\usepgfplotslibrary{groupplots,dateplot}
\usetikzlibrary{patterns,shapes.a... | The diagram illustrates a series of three distinct graphs labeled with different values of \(\alpha\): \(\alpha = 0\), \(\alpha = \alpha^*/2\), and \(\alpha = \alpha^*\). Each graph is plotted on a Cartesian coordinate system with the x-axis labeled as \(\Gamma K M\) and the y-axis labeled as \(E'/s|q_1|\). The graphs ... | datikz-v2_test_5 | Band structure of the continuum model Eq.~\eqref{eq_originalcontinuummodel} plotted along the high-symmetry path of the moir\'e mini-Brillouin zone illustrated in the inset. The bandwidth of the band closest to charge neutrality exactly vanishes when the coupling strength $\alpha = V_1 / |v q_0|$ reaches the value $\al... | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[12pt,english]{article}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{color}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage[unicode=true,
bookmarks=false,
breaklinks=false,pdfborder={0 0 1},
%backref=section,
colorlinks=true]{hyperref}
\usepackage{xcolor}
\usepackage{tikz}
\u... | The diagram illustrates a financial decision-making scenario involving an expected benefit function over time. The horizontal axis represents time, labeled "t," ranging from 0 to T, with a vertical dashed line marking an "interim deadline" at \( S_{0}^{FI} \). The vertical axis represents the expected benefit, labeled ... | datikz-v2_test_6 | The principal optimally sets an interim deadline $t=S_{0}^{FI}$ under full information: given that the first stage of the project has not been completed by $S_{0}^{FI}$, it is optimal to stop investing at $S_{0}^{FI}$. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[a4paper]{spie}
\usepackage{amsmath,amsfonts,amssymb}
\usepackage[colorlinks=true, allcolors=blue]{hyperref}
\usepackage{tikz}
\usetikzlibrary{quotes,angles,calc,patterns,shapes.geometric}
\begin{document}
\begin{tikzpicture}[scale=0.9]
\draw[<->, very thick] (0,-3) to (0,3);%
\draw (0,0) node[above... | The diagram illustrates the optical path of light through a system involving an on-axis source and an off-axis source, focusing on the interaction with the entrance pupil and exit pupil. A horizontal dashed line represents the axis of symmetry for both sources. The on-axis source is depicted by a blue line, while the o... | datikz-v2_test_8 | Schematic diagram of a telescope with an optical instrument that increases the equivalent focal length, $f_{eq}$, and with the exit pupil closer to the focal plane than the entrance pupil ($d_p<f_{eq}$) so that the non-telecentric angle, $\theta_{out}$, is greater than the entrance radiation angle $\theta_{in}$ | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[amsmath,amssymb,11pt]{article}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\usepackage{amsmath,amsopn}
\usepackage{xcolor}
\usepackage{tikz}
\usetikzlibrary{snakes}
\begin{document}
\begin{tikzpicture}
\draw[thick] (0,0) -- (4,0);
\draw[thick] (0,0) -- (0,4) node[pos=.5,above,rotate=90]{North Pol... | The diagram illustrates a square divided into four regions by two intersecting lines, forming an "X" shape within the square. The square is oriented such that its top side is labeled "North Pole," and its bottom side is labeled "South Pole." The left vertical edge of the square is marked with the symbol "1 = 0," while ... | datikz-v2_test_9 | Penrose diagram of de Sitter space with the value of the (dimensionless) de Sitter invariant distance $Z(x,y)$ depicted, where the point $x$ is located in the lower left corner of the Penrose diagram. Further, $\bar x$ denotes the antipodal point. For instance, $Z(x,y)>1$ if the point $y$ lies in the Northern static pa... | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[11pt]{article}
\usepackage{amsmath}
\usepackage{tikz}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amssymb}
\usepackage{amsmath}
\begin{document}
\begin{tikzpicture}[x=0.75pt,y=0.75pt,yscale=-1,xscale=1]
\draw (91.38,240.05) node {\includegraphics[width=38.58pt,height=38.58pt]{e... | The diagram illustrates a conceptual flow involving two main components: "Head" and "Foot," which are connected by a plus sign (+) indicating some form of combination or addition. Below these components, there are two smaller squares labeled "Image," each with a grid pattern inside, suggesting a visual or data represen... | datikz-v2_test_10 | An example for converting a classical problem of calculating the number of rabbits and chicken in a house, to a pure mathematical problem represented as a diagram. The house has rabbits and chickens, with in total 35 heads and 94 feet, then how many rabbits and chickens are there respectively? After abstraction, only r... | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[12pt,a4paper,reqno, UTF-8]{amsart}
\usepackage{amscd,amssymb,amsfonts,amsbsy,amsmath,verbatim,color,amsaddr,mathrsfs}
\usepackage{tikz,ifthen,bm}
\usetikzlibrary{intersections}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale=1.75,declare function={f(\t)=-2*(\t-1)+1;}]
\pgfmaths... | The diagram consists of two main sections. On the left side, there is a horizontal red line labeled "s3" at the top, followed by a series of shorter red lines labeled "s2," "s1," and "s0" in descending order from top to bottom. Each of these shorter lines intersects with a vertical black line labeled "Q3," "Q2," "Q1," ... | datikz-v2_test_11 | An illustration of $f_F$. The vertical line segment $Q_0Q_3=\{\bx\}\times[0,b]$ intersects $S_i$ at $Q_i$, $i=0,\ldots,3$. The last coordinate of $f_F(Q_i)$ is $\varphi(Q_i)$. This figure is drawn with $r=3$. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{automata, positioning, arrows}
\begin{document}
\begin{tikzpicture}[node distance=3cm,thick,scale=0.7, every node/.style={scale=0.7}]
\node(q0)[state with output, initial,initial text={}] at (0,0)
{$q_0$ \nodepar... | The diagram illustrates a finite state machine with four states labeled \( q_1 \), \( q_2 \), \( q_3 \), and \( q_4 \). Each state is depicted as a circle, with \( q_1 \) being the initial state, indicated by an arrow pointing from outside the circle to it. The transitions between states are represented by directed arr... | datikz-v2_test_12 | Illustration of {\dcpriorityopt}. An optimal parity condition consistent with $(\F_0',\F_1')$ can redefine the priority of $q_0$ to $2$ and thus use one priority less. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[fleqn,usenatbib]{mnras}
\usepackage[T1]{fontenc}
\usepackage{amsmath}
\usepackage{xcolor}
\usepackage{tikz}
\usepackage{amsmath}
\begin{document}
\begin{tikzpicture}
\usetikzlibrary{calc}
\newcommand{\tikzAngleOfLine}{\tikz@AngleOfLine}
\def\tikz@AngleOfLine(#1)(#2)#3{%
\pgfmathang... | The diagram illustrates a geometric configuration involving several labeled points and lines. A straight horizontal line is marked with two endpoints labeled "I" on the left and "F" on the right. On this line, a point "M" is positioned between "I" and "F". Another point, "S", is located to the left of "I". From "M", a ... | datikz-v2_test_13 | Illustration of the substellar longitude, $\gamma$, and its relation to other angles and lines. Line IF is an inertial line and line PS is the line connecting the center of the star and the planet. The ellipse surrounding point P represents the planet's geometry as a triaxial ellipsoid. This figure is a recreation of F... | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[11pt, a4paper]{article}
\usepackage{bm, amsmath, amsthm, amssymb, accents, comment}
\usepackage{tikz}
\usepackage{pgfplots}
\pgfplotsset{
compat=newest,
cycle list name=exotic }
\begin{document}
\begin{tikzpicture}
\begin{axis}[
title={},
xlabel={$\| \beta \|$}, xmin=0, xmax=5,
ylabel... | The diagram is a line graph illustrating the percentage improvement in Mean Squared Error (MSE) against the norm of β, denoted as ||β||. The x-axis represents the norm of β, ranging from 0 to 4, while the y-axis shows the percentage improvement in MSE, which spans from 0% to 10%. Three distinct lines represent differen... | datikz-v2_test_14 | Percentage improvement in mean squared error of MAICc with $c=\bar{c}$ over AICc when $n=30$ and $p=10$. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[5p,12pt]{elsarticle}
\usepackage{color}
\usepackage[cmex10]{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
% input layer:
\node at (0,7) [circle,draw] (01){$q_1$};
\node at (0,6) [circle,draw] (02){$q_2$};
\node at (0,4) [circle,draw] (03){$q_n$};
% first layer
\no... | The diagram illustrates a neural network with five distinct layers: an input layer, a first hidden layer, a second hidden layer, a third hidden layer, and an output layer. The input layer is labeled "input layer" and contains nodes representing "q1," "q2," ..., "qn," which correspond to the number of heat exchangers, d... | datikz-v2_test_15 | Structure of the used DNN. The number of nodes in the first and last layer are equal to the number of heat exchanges and estimated states in each test case. The hidden layers have 100, 250 and 250 Nodes in both cases. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass{article}
\usepackage{amsmath}
\usepackage{paralist,tikz}
\usepackage[T1]{fontenc}
\usepackage[colorlinks=true]{hyperref}
\begin{document}
\begin{tikzpicture}[x=.9pt,y=.9pt]
\definecolor{fillColor}{RGB}{255,255,255}
\path[use as bounding box,fill=fillColor,fill opacity=0.00] (0,0) rectangle (123.54,154.... | The diagram consists of two separate graphs stacked vertically against a white background. The top graph is labeled "E(t)" on the y-axis, which ranges from 0 to 18, and the x-axis is labeled "t," ranging from 0 to 20. This graph features a solid line representing "E(t)" and a dashed line labeled "E*" above it, indicati... | datikz-v2_test_16 | \captionFigTraj{counter flow}{$\lambda=0.1$ s$^{-1}$ (low pedestrian reactivity)}{1}{No lane formation emerges when the pedestrians are not sufficiently reactive, yielding in gridlocks in the dynamics. The Hamiltonian presents large fluctuations and remains lower than $H^\ast$.} | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[11pt]{article}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage[usenames]{color}
\usepackage{tikz}
\usepackage{color,graphicx}
\begin{document}
\begin{tikzpicture}[x=0.75pt,y=0.75pt,yscale=-1,xscale=1]
\draw (223,166.25) .. controls (223,143.47) and (248.74,125) .. (280.5,125) .. contro... | The diagram consists of four distinct circles arranged in a specific configuration. At the top left, there is a circle labeled "S1," which is separate from the other shapes. To its right, another circle is positioned, labeled "S2." Below these two circles, there is an overlapping pair of circles, each labeled with "S3"... | datikz-v2_test_17 | Let $S_j$ denote the set of optimal first messages Alice could send in $\mathrm{Task}_j$. Then if two sets are disjoint, Alice would have to hedge her cheating attempts if Bob switches between those two tasks (e.g., $\mathrm{Task}_1$ and $\mathrm{Task}_2$). If the two sets have a nonempty intersection, Alice would have... | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[runningheads]{llncs}
\usepackage[T1]{fontenc}
\usepackage[table]{xcolor}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{automata,positioning,calc}
\usetikzlibrary{decorations.pathreplacing}
\usepackage{pgfplots}
\pgfplotsset{compat=1.15}
\usetikzli... | The diagram features a Cartesian coordinate system with axes labeled as "x" on the horizontal axis and "y" on the vertical axis. The x-axis ranges from 0.4 to 1, while the y-axis ranges from 0.4 to 1. Two distinct curves are plotted: a red curve and a blue curve. The red curve starts at approximately (0.66, 0.7) and ri... | datikz-v2_test_18 | Left: A stochastic context-free grammar (SCFG) and the associated positive polynomial system (PPS) which encodes the termination probabilities of each non-terminal, assuming production rules are taken uniformly at random. Right: The curves defined by the two equations. The least fixpoint (lfp) is $\approx (0.66,0.70)$.... | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[a4paper]{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amsmath,amsthm,amssymb,amsfonts}
\usepackage{tikz}
\usetikzlibrary{snakes}
\usetikzlibrary{positioning, fadings, backgrounds}
\usepackage[textsize=footnotesize,color=green!40]{todonotes}
\usetikzlibrary{decorations.pathmor... | The diagram is a hierarchical flowchart with a central node labeled "Bounded isometric path antichain cover number" at the top. This node branches out into two main paths: one labeled "(t-the)" on the right and the other continuing downward. The downward path leads to a node labeled "bounded hyperbolicity *" which furt... | datikz-v2_test_19 | Inclusion diagram for graph classes discussed here (and related ones). If a class $A$ has an upward path to class $B$, then $A$ is included in $B$. For graphs in the gray classes, the complexity of \textsc{Isometric Path Cover}\xspace is open; for all other graph classes, it is NP-complete. For all shown graph classes,... | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[a4paper,11pt]{article}
\usepackage{tikz-cd}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[x=0.45pt,y=0.45pt,yscale=-1,xscale=1]
\draw (102,101.72) -- (189,101.45) ;
\draw (110,96.72) .. controls (110,93.96) and (112.3,91.72) .. (115.14,91.72) .. controls (117.98,91.72) and (120.28,93.96)... | The diagram consists of several geometric shapes and labeled figures arranged in a structured layout. At the top left, there is a single open circle labeled "II". To its right, a vertical line segment with a small arc at the top is labeled "III". Adjacent to "III" on the right, a cross shape is drawn, labeled "IV". Bel... | datikz-v2_test_20 | The dual graph for genus one degeneration, which is classified by Kodaira, see \cite{barth2015compact}. The data $(n_i,k_i, C_{ij})$ are read from the dual graph as follows: the number $n_i$ is listed for each component $C_i$ in the graph (if $n_i=1$, the number is omitted); $C_{ij}$ is read from the intersection numbe... | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[11pt]{article}
\usepackage[T1]{fontenc}
\usepackage{latexsym,amssymb,amsmath,amsfonts,amsthm}
\usepackage{color}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
% grating
\draw[line width=0.8584cm,color=blue!20] (0,-3) -- (0,4);
\draw (-0.5,3.5) node [right] {$K_{\Gamma}^{(\hat{x})}$};
\... | The diagram illustrates a mathematical concept involving a vertical line segment and a horizontal curve. A vertical dashed line extends from the x-axis at -2 to the x-axis at 3, labeled with "inf(ξ·Γ)" on the left end and "sup(ξ·Γ)" on the right end. Within this vertical line segment, a shaded area is marked by a dashe... | datikz-v2_test_21 | Illustration of the strip $K_\Gamma^{(\hat{x})}$ (blue area) with $\hat{x} = (1, 0)$. Here the curve $a(t)=2\sqrt{2}(\cos t, -\sin t),\, t\in[\pi/4,3\pi/4]$ denotes the orbit (the red arc) of a point source moving from right to left. There holds $\inf(\hat{x}\cdot\, \Gamma) = -2, \,\sup(\hat{x}\cdot\, \Gamma) = 2,\,\xi... | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass{article}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{math}
\usetikzlibrary{decorations.pathreplacing}
\usepackage{amssymb,amsfonts,amsthm}
\usepackage{xcolor}
\begin{document}
\begin{tikzpicture}[scale=1]
\tikzmath{\xl=0; \xr = 12; \y=-4; ... | The diagram consists of four horizontal lines, each representing a segment of a larger interval from 0 to 1, divided into smaller subintervals by points labeled \(x_{K-\frac{1}{2}}\), \(x_{K+\frac{1}{2}}\), \(x_{K+\frac{3}{2}}\), and \(x_{K+\frac{5}{2}}\). Each line is marked with specific labels and symbols indicating... | datikz-v2_test_22 | A virtual mesh displacement between $t^{p-1} = (p-1) \Delta t$ and $t^p = p \Delta t$. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass{amsart}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{decorations,decorations.pathmorphing}
\usetikzlibrary{patterns}
\begin{document}
\begin{tikzpicture}
\coordinate [label=left:$P_-$] (A1) at (0.4,0.4);
\coordinate [label=left:$P_+$] (A2) at (0.4,1.6);
\coordinate [label... | The diagram consists of four separate panels labeled (a), (b), (c), and (d). Each panel features a central vertical line segment with two smaller segments branching off at angles from its top and bottom ends. These branches are labeled with "P+" for the upper branch and "P-" for the lower branch. The central vertical l... | datikz-v2_test_24 | $V(\mathcal{F})$ and $V(\mathcal{G})$ in a neighborhood of $L\in \mathcal{LS}_2(\mathcal{F}, \mathcal{G})$. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass{article}
\usepackage{amsmath,amsfonts,amsthm,amssymb,commath,mathtools}
\usepackage{tikz}
\usetikzlibrary{calc,angles,quotes,shapes.misc}
\tikzset{cross/.style={cross out, draw,
minimum size=2*(#1-\pgflinewidth),
inner sep=0pt, outer sep=0pt}}
\begin{document}
\begin{tikzpicture}
%left verts
... | The diagram consists of two rows of four circles each, arranged in a 2x4 grid. The top row contains circles colored blue with labels "11", "10", "01", and "00" from left to right. The bottom row contains circles colored red with labels "11", "10", "01", and "00" from left to right. Each circle in the blue row is connec... | datikz-v2_test_25 | The bipartite Cayley graph, $BC(g)$, of the function $g(z) = (-1)^{z_1 + z_2}$ for $z_1,z_2\in \mathbb{F}_2$. $g$ encodes the XOR function on $2$ bits. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[10pt]{article}
\usepackage{tikz}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{color}
\usetikzlibrary{patterns}
\begin{document}
\begin{tikzpicture}[>=latex,scale=2.5]
\draw[thick,->] (-0.5,0.0) -- (4.5,0.0) node[right] {$\psi$};
\draw[thick,->] (0,-0.5) -- (0,3.0) node[above] {};
\dra... | The diagram features two curves plotted on a Cartesian coordinate system with the x-axis labeled "ψ" and the y-axis pointing upwards. The curve labeled \( f^{\text{in}}(\psi) \) is a parabola opening upwards, starting from the left side of the graph and curving upwards before reaching a point where it intersects the st... | datikz-v2_test_26 | Typical common tangent connection for the free energy densities for the interior $f^{\rm in}(\psi)$ (left) and exterior $f^{\rm out}(\psi)$ (right) \eqref{f_inout} phases. The vesicle will grow or shrink according to the initial (spatially uniform) states for $\psi$ inside and outside the vesicle. Suppose that $\psi^{\... | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass{article}
\usepackage{tikz}
\usepackage{tikz-network}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{matrix,arrows,decorations.pathmorphing}
\usetikzlibrary{arrows}
\usepackage{xcolor}
\usepackage{inputenc}
\usepackage[T1]{fontenc}
\begin{document}
\begin{tikzpicture}
\n... | The diagram is a square divided into four equal quadrants by two intersecting diagonals, creating an X-shape in the center. The top left quadrant contains the text "human-contact network" in blue, while the top right quadrant has the text "ventilation system" in black. The bottom left quadrant is labeled "water" in bla... | datikz-v2_test_27 | An example of a human contact multiplex network plus two different resources. The subgraph of virus $k$ in the human contact multiplex network together with resorces forms the graph $\mathcal{G(B^{\text{k}}_{\text{f}})}$, which is assumed to be strongly connected. The way that resources interact with different layers o... | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[reqno,12pt]{amsart}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage[T1]{fontenc}
\usepackage[dvipsnames,svgnames]{xcolor}
\usepackage{tikz}
\usetikzlibrary{calc,patterns}
\newcommand{\x}{\boldsymbol{x}}
\begin{document}
\begin{tikzpicture}
\draw(1,2)--(3,3)--(3,2);
\draw(3,3)--(5,2);
\draw(0.5,1... | The diagram consists of two separate tree-like structures, each with a distinct root node labeled "Xρ" at the top. Below "Xρ," there is another node labeled "Yρ." Each structure branches out into smaller nodes, forming a hierarchical pattern typical of trees. The left tree has a red line connecting "Xρ" to "Yρ," while ... | datikz-v2_test_29 | On the left $|\tilde\mathfrak{p}|=|\mathfrak{p}|+1$, on the right $|\tilde\mathfrak{p}|=|\mathfrak{p}|$. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[12pt]{article}
\usepackage{tikz}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage[utf8]{inputenc}
\usepackage{tikz}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}
\begin{scope}[scale=0.7, xshift = -10cm]
\draw (0,0) grid (8,8);
\draw[ultra thick, color=blue] (0,0) -- (0,1);
\draw[ul... | The diagram consists of three separate grids, each containing a blue rectangle and a series of diagonal lines. The first grid on the left features a blue rectangle positioned in the bottom-left corner, with its top-right corner aligned with the top-right corner of the grid. A dashed diagonal line extends from the botto... | datikz-v2_test_30 | The elbows of $\pi^{(1)}, \pi^{(2)}$, and $\pi^{(3)}$. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[12pt]{article}
\usepackage{amssymb}
\usepackage{amsmath,bm}
\usepackage{color}
\usepackage{xcolor}
\usepackage{tikz}
\usepackage[utf8]{inputenc}
\usepackage{mathtools, amsthm, amssymb, eucal}
\begin{document}
\begin{tikzpicture}%
\clip (0,-2.4) rectangle (12,2.4);
\coordinate (R) at (3.5,2);
\coordinat... | This diagram is a tree structure with nodes connected by lines, representing a hierarchical relationship. At the top, there is a node labeled "R" in blue, which branches out into two main paths. On the left side, the path from "R" splits into three nodes: "Bc" (red), "B" (red), and "Ba" (red). The "B" node further divi... | datikz-v2_test_31 | Support Hasse diagram for Figure \ref{Fig: strand diagram for Fig 1}. Left children (those which come before their parents in the exceptional sequence) are red. These are relatively projective but not relatively injective. The rest: the roots, $R,C,Cc$, and the right children (which come after their parents), are relat... | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[a4paper,reqno]{amsart}
\usepackage[dvipsnames]{xcolor}
\usepackage{amsfonts,amssymb}
\usepackage{amsmath}
\usepackage{xcolor}
\usepackage{tikz}
\usetikzlibrary{matrix}
\usetikzlibrary{cd}
\begin{document}
\begin{tikzpicture}
%PVI
\draw[line width=0.3mm]
(-13.5,0) circle (1mm)
(-13,0) circl... | The diagram consists of several nodes arranged in a triangular formation with dashed red lines connecting them. At the top left is a node labeled "0" with three smaller circles inside it. To its right, another node is labeled "∞" with two smaller circles inside it. Below these two nodes, a horizontal line connects thre... | datikz-v2_test_33 | Confluence scheme for Painlev\'e equations. Each triangle at this diagram corresponds to the Takiff algebra Darboux coordinates which were introduced in Fig. \ref{fig1:PQ}. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[12pt]{amsart}
\usepackage{amsmath}
\usepackage{tikz,float,caption}
\begin{document}
\begin{tikzpicture}
\draw (0,0) circle (2);
\draw[dashed] (2,0) arc (0:180:2 and 0.5);
\draw (-2,0) arc (180:360:2 and 0.5);
\draw[blue] (0.6,0) circle (0.6 and 0.3) (0.8,2.3) circle (0.6 and 0.3... | The diagram illustrates a geometric configuration involving a sphere and a cylinder. The sphere is depicted with a solid black outline, and its surface is marked by a dashed circle representing the equator. Within the sphere, there is a smaller circle labeled "ν(0)" which appears to be a cross-section at the center, su... | datikz-v2_test_34 | The limiting Floer cylinder is asymptotic to the Hamiltonian orbit $\gamma$ at its left end. The right end traces out a loop in $M$ which passes through $\iota(0)$. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[a4paper]{article}
\usepackage{amsfonts,amssymb,amsmath}
\usepackage{xcolor}
\usepackage{tikz}
\usetikzlibrary{matrix,shapes,arrows,fit,positioning,calc,backgrounds}
\begin{document}
\begin{tikzpicture}
\node {\includegraphics[scale=0.3]{example-image}};
\draw [fill=gray, opacity=0.3, rounded corners] (... | The diagram consists of two main rectangular sections. The larger rectangle is positioned horizontally at the top, with its left edge aligned to the left side of the page. Within this larger rectangle, four smaller rectangles are arranged in a row from left to right, labeled sequentially as 1, 2, 3, and 4. Below these ... | datikz-v2_test_35 | The complete A.i.A.Co.\framework. In 1, a document containing the defence deeds is preprocessed, producing a text (2) that is then passed to a NLP model (3). In 4, the NLP model outputs the relevant features, that are then passed (5) to the predictive model, that outputs (6) the decision that is then proposed to the Ju... | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[a4paper]{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{tikz}
\usepackage{amsmath}
\usepackage{xcolor}
\tikzset{every picture/.style={line width=0.75pt}}
\begin{document}
\begin{tikzpicture}[x=0.75pt,y=0.75pt,yscale=-1,xscale=1]
% Text Node
\draw (300,50) node [anchor=nort... | The diagram is divided into two main sections, each labeled with a title: "POD with Interpolation" on the left and "Physics-Aware POD" on the right. Both sections contain a series of steps outlined in boxes with varying colors for differentiation.
In the "POD with Interpolation" section:
- The first box, in green, sta... | datikz-v2_test_36 | This picture shows a side by side comparison between the PODI and PA-POD. In PODI we interpolate accurate but scarce data, while with PA-POD we evaluate dense real time approximated data. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[a4paper]{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{arrows.meta}
\tikzset{
circ/.style={draw, circle,inner sep=0pt,minimum size=8mm, font=\scriptsize},
triangle/.tip={Computer Modern Rightarrow[open,ang... | The diagram consists of a rectangular grid divided into four distinct regions, each shaded in a different color: blue, yellow, and orange. The horizontal axis is labeled with "T1" and "T2," indicating time intervals, while the vertical axis is marked with "lambda + q^>(u)," "lambda," and "q^(u)." The blue region, locat... | datikz-v2_test_37 | The regions of the plane %intervals $(T_n,T_{n+1})\times[0,q^{<}(U_{T_n}^{\beta,u})]$ and $(T_n,T_{n+1})\times[\lambda,\lambda+q^{>}(U_{T_n}^{\beta,u})]$, for $n=0,1,2,\ldots$. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[11pt,a4paper]{article}
\usepackage{epsf,epsfig,amsfonts,amsgen,amsmath,amstext,amsbsy,amsopn,amsthm,cases,listings,color
%,lineno
}
\usepackage{color}
\usepackage{pgf,tikz}
\usepackage{amssymb}
\usepackage{pgfplots}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}[x=0.75pt,y=0.75pt,yscale=-... | The diagram consists of three overlapping circles labeled \(U_1\), \(U_2\), and \(U_3\) arranged in a triangular formation with their centers forming an equilateral triangle. Within each circle, there is a smaller circle labeled \(W_1\), \(W_2\), and \(W_3\) respectively, positioned such that they are also centered wit... | datikz-v2_test_38 | $v_5v_7v_9v_6v_8v_{10}v_5$ is a copy of $C_6$. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass{article}
\usepackage[dvipsnames]{xcolor}
\usepackage{color}
\usepackage{amsmath}
\usepackage{pgfplots}
\pgfplotsset{compat=1.10}
\usepgfplotslibrary{fillbetween}
\usetikzlibrary{patterns}
\begin{document}
\begin{tikzpicture}[xscale=5.4,yscale=5.4]
\draw[dashdotted](0,0) -- (0,0.4);
\draw (0,0.4) -- (.6... | The diagram illustrates a cross-sectional view of a flow domain, likely from a fluid dynamics study. The vertical axis is labeled "y" with three distinct regions marked: "y = 0," "y = Ly/2," and "y = Ly," indicating different heights within the domain. A horizontal dashed line at "y = Ly/2" separates two regions, with ... | datikz-v2_test_39 | The fluid is subject to periodic boundary conditions at the (dash-dotted) side walls, homogeneous Dirichlet/Neumann conditions at the upper boundary $y=L_y$, and the no-slip condition at the wall $y=0$. In addition to the constant pressure gradient assumed to be present in the near-wall layer, the model includes a time... | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[aps,english,prl,floatfix,amsmath,superscriptaddress,tightenlines,twocolumn,nofootinbib]{revtex4-2}
\usepackage{amssymb,amsthm,tikz,mathtools}
\usetikzlibrary{decorations.markings,decorations.pathmorphing}
\usepackage[utf8]{inputenc}
\usepackage{xcolor}
\begin{document}
\begin{tikzpicture}[scale=0.5]
... | The diagram is divided into two parts labeled (a) and (b), both depicting geometric arrangements with labeled points and expressions for a variable η.
In part (a), a horizontal straight line segment is shown with four labeled points: x1, x2, x3, and x4, arranged in ascending order from left to right. Between these poi... | datikz-v2_test_41 | (a) Three consecutive intervals on an infinite system with the corresponding cross ratio $\eta$. (b) Three consecutive intervals on a circle with circumference $L$. Here, $x_{ij} \coloneqq x_j - x_i$ denotes the distance between $x_i$ and $x_j$. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[tikz,border=10pt]{standalone}
\begin{document}
\begin{tikzpicture}
\draw plot[domain=0.01:1, samples=5000] (\x,{sin(1/\x r)});
\draw (0,1) -- (0,-1);
\draw (1,{sin(1 r)}) .. controls (4,{sin(1/4 r)-1.2}) and (0,-3) .. (0,-1);
\end{tikzpicture}
\end{document} | The diagram features a vertical black line on the left side, which is positioned parallel to a curved shape resembling an irregularly shaped oval or teardrop. The oval shape is oriented such that its wider end points downward and its narrower end extends upward, creating a sense of asymmetry. The black line and the ova... | datikz-v2_test_42 | The example shows the TikZ native plotting, without pgfplots, and a Bezier curve. The Warsaw circle is a compact subset of the plane produced by “closing up” a topologist’s sine curve with an arc: Wikipedia. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass{article}
\usepackage{color}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usetikzlibrary{calc}
\usepackage{pgfplots}
\pgfplotsset{compat=1.17}
\begin{document}
\begin{tikzpicture}[scale = 0.75]
\begin{axis}
[
xmin=0,
xmax=10,
ymin=0,
ymax=12,
nodes near coords,
... | The diagram is a scatter plot with a grid background, featuring points labeled with letters and numbers, such as "A1", "A2", and "A3". These points are connected by lines forming various triangles and quadrilaterals, indicating relationships between the data points. The x-axis ranges from 0 to 10, while the y-axis rang... | datikz-v2_test_43 | \textcolor{black}{Listing the different areas $A_1, \ldots, A_{18}$ into which the plane is divided in case 1.} | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[11pt,a4paper]{article}
\usepackage{amsmath,amssymb,amsthm,bbm,color,url}
\usepackage{tikz}
\usetikzlibrary{matrix,calc,backgrounds,arrows,shapes,patterns,arrows.meta}
\tikzset{coordinateIIID/.style={x={(240:0.8cm)}, y={(-10:1cm)}, z={(0,1cm)}, scale=0.54}}
\newcommand{\grid}{
\node at (1,7.75,1) {\foot... | The diagram is a three-dimensional coordinate system with axes labeled "1st coord." for the x-axis, "2nd coord." for the y-axis, and "3rd coord." for the z-axis. The axes intersect at the origin, forming a right-handed coordinate system. The x-axis extends horizontally from left to right, the y-axis extends vertically ... | datikz-v2_test_44 | Lemma~\ref{lem:extremecase} for $a=5$, $b=4$, $c=2$, $h=4$. A gray cube represents a forced 1 in the contingency array. Absence of color represents a forced 0 in the contingency array. The blue box shows the area where both zeros and ones are possible. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass{article}
\usepackage{xcolor}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[style = {draw,->,thick}]
\node [draw]{(2,1) in block 112, (1,2) in block 122}[sibling distance = 8.5cm,level distance = 2.5cm]
child {node [draw]{(2,1) in block 122}[sibling distance = 2.5cm]
chi... | The diagram is a flowchart with a hierarchical structure, resembling a decision tree. At the top, there's a central node labeled "(2,1) in block 112, (1,2) in block 122," from which two paths branch out. The left path leads to another node labeled "(2,1) in block 122," while the right path leads to "(1,1) in block 122.... | datikz-v2_test_45 | Representation of the procedure to obtain solutions to the Yang-Baxter equations described in \ref{ybexample}. Solutions are outlined with thick boundaries. S stands for solution. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[12pt]{amsart}
\usepackage{amsthm,amsmath,amssymb,enumerate,color, tikz}
\usetikzlibrary{shapes.geometric}
\usepackage[colorlinks,anchorcolor=black,citecolor=black,linkcolor=black]{hyperref}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[scale=0.7]
\coordinate (C) at (0,0);
\def\N{15};
\def\rad... | The diagram consists of a circular shape divided into two concentric rings by a dashed horizontal line labeled "1". The outer ring is marked with numbers from 1 to 15, each accompanied by a prime symbol (e.g., 1', 2', etc.), arranged in a clockwise sequence. The inner ring mirrors the outer ring's numbering but include... | datikz-v2_test_46 | The cyclic interval partition $\{1,2,15/3,4,5,6,7/8/9/10/11/12/13/14\}$ has separating set $\{2',7',10',11',14'\}$ | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage[dvipsnames]{xcolor}
\usepackage{tikz}
\usetikzlibrary{shapes,arrows,automata,matrix,fit}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\begin{document}
\begin{tikzpicture}[scale=0.5]
\fill[gray!20] (-4,2) -- (-3,2) -- (-3,3)... | The diagram consists of two main components: a grid of squares and two diagonal lines labeled with equations. The grid is composed of smaller squares arranged in a larger rectangular formation, with alternating light gray and white squares. Each square contains a number, ranging from -4 to 3, with some squares shaded i... | datikz-v2_test_47 | Example of the construction of the event $A_{St}$ for $q=0.7$ and $K=4$. The path containing the origin has level $-1$. If a point $(n,m)$ is in $C_{-1}$ or $C_1$, then we have $H(n+\frac{1}{2},m+\frac{1}{2})>1$ or $H(n+\frac{1}{2},m+\frac{1}{2})<-1$. The only face with height $-1$ on the $x$-axis of $\mathbb Z^2+(\fra... | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[11pt]{article}
\usepackage{amscd,amssymb,stmaryrd}
\usepackage{amsmath}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\usepackage{color}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[x=0.75pt,y=0.75pt,yscale=-1,xscale=1]
\draw [color={rgb, 255:red, 0; green, 0; blue, 0 } ,draw opacity=1 ... | The diagram illustrates a "PST two-area system," which is composed of interconnected elements representing a power system. At the top center, the label "PST two-area system" is prominently displayed. Flanking this central label on both sides are two pink circles labeled "G," likely representing generators within the sy... | datikz-v2_test_48 | A synchronous (transient) generator model~$G$ that we approximate with a data-driven DeepONet. We trained the DeepONet using data collected from the two-area, four-generator system of the Power System Toolbox~(PST). | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[leqno,10pt,oneside]{amsart}
\usepackage[utf8]{inputenc}
\usepackage{amsmath,amssymb,amsthm,mathtools,stmaryrd,appendix}
\usepackage[colorlinks,pagebackref]{hyperref}
\usepackage{tikz}
\usetikzlibrary{matrix,arrows.meta,decorations.markings,decorations.pathmorphing,shapes,positioning}
\tikzset{>=stealth}
... | The diagram is a complex flowchart-like structure with multiple levels of branching and connecting lines, resembling a decision tree or a state transition diagram. At the top, there's a header labeled "B=1+1+1+1". Below this, a series of nodes are arranged in rows, each node containing a combination of symbols and numb... | datikz-v2_test_49 | A part of ${\overline{\mathrm{Q}}}{}_m^n$ used in the proof of Theorem \ref{thm:maintheorem} where for simplicity the pairs of opposite arrows are drawn by an unoriented edge and only the label of the ascending arrow is given | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[12pt,reqno]{amsart}
\usepackage{xcolor,hyperref,tikz-cd,cancel}
\usepackage{xcolor}
\usepackage{amsmath,enumerate,breqn}
\usepackage[framemethod=tikz]{mdframed}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{matrix,arrows.meta}
\begin{document}
\begin{tikzpicture}[x=0.75pt,y=0.75pt,yscale=-1,xs... | The diagram features a central point from which six rays extend outward in a symmetrical pattern. Each ray is labeled with a mathematical expression: α, β, -α, -β, α + β, and -α - β. The rays are drawn in blue and are connected by dotted lines that form a hexagonal shape around the central point, indicating the relatio... | datikz-v2_test_50 | Root diagram of $\mathfrak{su}(3)$ where the positive roots are given by $\alpha = (1,0)$, $\beta=\left(-\frac{1}{2}, \frac{\sqrt{3}}{2} \right)$ and $\alpha+\beta=\left(\frac{1}{2}, \frac{\sqrt{3}}{2} \right)$. The simple roots are given by $\alpha$ and $\beta$. The blue shaded area is the positive Weyl chamber. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[a4paper,11pt]{article}
\usepackage{tikz-cd}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[x=0.55pt,y=0.55pt,yscale=-1,xscale=1]
\draw (23,192) -- (221,192)(83,79.78) -- (83,228) (214,187) -- (221,192) -- (214,197) (78,86.78) -- (83,79.78) -- (88,86.78) ;
\draw (83,151) -- (106,191.22) ;
... | The diagram consists of two distinct parts. On the left side, there is a Cartesian coordinate system with the x-axis extending horizontally from left to right and the y-axis extending vertically upwards. The origin (0,0) is marked at the intersection of these axes. A triangle is drawn within this coordinate system, wit... | datikz-v2_test_51 | Left:The toric diagram for a 3d canonical singularity. M theory on it gives rise to a 5d $\mathcal{N}=1$ SCFT without any flavor symmetry; Right: The Coulomb branch geometry for the 5d KK theory defined using the toric diagram on the left. There are a total of five $I_1$ singularities at the bulk. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[a4paper]{article}
\usepackage{amssymb,amsmath,xypic}
\usepackage{graphicx,color,xcolor,subfigure}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[scale=0.8]
\draw[-stealth](0.1,0) -- (-2/3+0.1,2/3); %seta1
\draw[stealth-](-0.1,0) -- (-2/3-0.1,2/3); %seta1,2
\draw[stealth-](-4/3+0.1,... | The diagram is a hierarchical structure resembling a tree with multiple levels, each level containing nodes connected by arrows. At the topmost level, there is a single node labeled "[r]" which branches out into two nodes labeled "[r ± 1]". These two nodes then connect to another level below them, which includes four n... | datikz-v2_test_53 | Schematic representation of the long-multiplet $\mathcal{L}_r$, see \cite{Kos:2018glc} for more details. The arrows going to the left (right) represent the action of $G^a_{-\frac{1}{2}}$ $\left(\bar{G}^b_{-\frac{1}{2}}\right)$. In the figure only the $SU(2)$ indices are shown. Operators in the same line have the same c... | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[12pt,english]{article}
\usepackage[T1]{fontenc}
\usepackage{amsmath,enumerate}
\usepackage{amssymb}
\usepackage[usenames, dvipsnames]{color}
\usepackage{tikz}
\usetikzlibrary{positioning}
\usepackage{tikz}
\usetikzlibrary{positioning}
\usetikzlibrary{decorations.pathreplacing}
\usetikzlibrary{calligraphy... | The diagram illustrates a process flow involving financial metrics and their transformation into portfolio weights. At the top left, there is a labeled "price = p_{i,t}" which branches out to three separate metrics: "book to market = x_{i,1,t}", "earnings to market = x_{i,2,t}", and "profitability = x_{i,3,t}". Each of... | datikz-v2_test_55 | \textbf{Demand Mapping.} This figure shows how demand, for statistical arbitrageurs, is a function of prices and predictors. The price of stock $i$ in month $t$ is $p_{i,t}$. In this example, the three predictors used are: (1) the book-to-market ratio, (2) the earnings-to-market ratio, and (3) the profitability ratio. ... | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[a4paper,11pt]{article}
\usepackage[T1]{fontenc}
\usepackage{tikz}
\usepackage{tikz-3dplot}
\usepackage{colortbl}
\begin{document}
\begin{tikzpicture}
\node at (0,-2.3) {\includegraphics[width=.475\textwidth]{example-image}};
\node at (0,0) {\textcolor{white}{y}one-month simulation\textcolor{whi... | The diagram consists of two rectangular boxes placed side by side, each labeled with "one-month simulation" and "one-year simulation" respectively at the top center. Inside each rectangle is a smaller square labeled "Image," positioned centrally within the larger rectangle. The rectangles are divided into four quadrant... | datikz-v2_test_56 | Simulated boresight hit maps for one-month (left) and one-year (right) observations. The two panels share the same logarithmic color map, although the range shown is truncated for the one-month case. Unobserved pixels appear gray. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[]{article}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{calc,positioning,fit}
\usetikzlibrary{arrows,decorations.markings}
\begin{document}
\begin{tikzpicture}[scale=0.64,decoration={
markings,
mark=at position 0.5 with {\arrow{>}}}]%... | The diagram consists of five labeled trees arranged in a horizontal sequence, each representing different sets of numbers and mathematical expressions. The first tree, labeled \(T_{(6,7)}\), has a single node with the number 6 and is connected by a vertical line to a binomial coefficient \(\binom{10-2}{k-2}\). The seco... | datikz-v2_test_57 | %Example of a embeddable word, with an embedding. Example~\ref{ex.1}. The edges are labelled with red. The edges with no label have the label $\emptyset$. The binomial numbers correspond to the number of extensions given by their root-to-leaf path, and the $k$ indicates the size of the extended edges. The path root-to-... | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[preprint]{elsarticle}
\usepackage{amsmath,amssymb,amsfonts}
\usepackage{amsmath,esint}
\usepackage{xcolor}
\usepackage{colortbl}
\usepackage{pgf}
\usepackage{pgfplots}
\usetikzlibrary{shapes,arrows}
\usetikzlibrary{arrows.meta}
\usetikzlibrary{decorations.pathreplacing}
\usetikzlibrary{shapes.geometric}
... | The diagram illustrates a workflow involving two Docker containers: a CAD (Computer-Aided Design) Docker Container and a CFD (Computational Fluid Dynamics) Docker Container. The CAD Docker Container is depicted in a light purple box with dashed lines, containing three main components: "CAD Seed Design," "CAD Design Too... | datikz-v2_test_58 | An integrated toolchain incorporating FreeCAD (parametric CAD modeling software) and OpenFOAM (CFD simulation software) in a Python environment (controlling the process flow and running optimizers and samplers) for CAD design generation, drag evaluation, and optimization in our workflow. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass{article}
\usepackage{amsfonts,epsfig,fancyhdr,graphics, hyperref,amsmath,amssymb}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
\tikzset{enclosed/.style={draw, circle, inner sep=0pt, minimum size=.25cm}}
\node[enclosed,fill=cyan,label={above, yshift=0cm: $(x,u)$}] (v_1) at (0,1.5) {};... | The diagram consists of two distinct graphs, each with nodes labeled in a specific manner. The first graph on the left is a square with four nodes, each node labeled with a pair of letters: \((x,u)\), \((x,v)\), \((y,u)\), and \((y,v)\). These nodes are connected by straight lines forming a square, with each node at th... | datikz-v2_test_59 | $K_2\square P_3$ with four pairwise strongly cospectral vertices with respect to $\textbf{A}$ whenever $\beta\neq \pm 8\gamma$ marked blue (left) and $K_2\times K_3$ with pairs of strongly cospectral vertices with respect to $\mathcal{A}$ marked blue, white, and pink (right) | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[notitlepage,nofootinbib,preprintnumbers,amssymb,superscriptaddress]{revtex4-1}
\usepackage{amsfonts,amssymb,mathtools,graphicx,xcolor,bm}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
\draw[thick, rounded corners=0.2cm] (0,5)--(1.5,5)--(1.5,4.2)--(0,4.2)--cycle;
\node[anchor=center] at (0.75... | The diagram illustrates a sequence of transformations involving mathematical objects labeled \( S[g,\phi] \), \( S'[g,\phi] \), and \( S''[g,\phi] \). The initial object \( S[g,\phi] \) is connected by an arrow labeled "singular" pointing to \( S'[g,\phi] \), which is defined as \( S[\bar{g},\phi] \). Below this, anoth... | datikz-v2_test_60 | Functional composition of singular and invertible disformal transformations acting on scalar-tensor theories. For any given singular generalized disformal transformation~$g\to \bar{g}[g,\phi]$ satisfying \eqref{generalized_noninv_cond}, there exists an invertible transformation~$g\to \hat{g}[g,\phi]$ such that $g\to \b... | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[12pt]{article}
\usepackage{epic,latexsym,amssymb}
\usepackage{color}
\usepackage{tikz}
\usepackage{geometry,graphicx,verbatim,amsmath}
\usepackage{tikz,ifthen}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}
\clip(-7.28,1) rectangle (4,5.5);
\draw (-7,5)-- (-7,4);
\draw (-7,4)-- (-6,4);
\dra... | The diagram consists of four distinct graphs labeled (a), (b), (c), and (d). Each graph is composed of black dots representing vertices connected by black lines forming edges. In graph (a), there are two rows of five vertices each, with diagonal lines connecting corresponding vertices in each row, creating a pattern re... | datikz-v2_test_61 | Graphs $H_5$ (a), $H_5^-$ (b), $\Lambda_{5,5}$ (c), and $\Lambda_{5,5}^-$ (d) | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass{article}
\usepackage{tikz}
\usetikzlibrary{arrows,positioning,matrix}
\usepackage{pgfplots}
\pgfplotsset{compat=newest}
\usepackage{tikz-feynman}
\usepackage{framed,amsmath}
\usetikzlibrary{arrows}
\usetikzlibrary{automata}
\usetikzlibrary{shapes.misc}
\usepackage{tikz}
\usetikzlibrary{decorations.markin... | The diagram consists of two separate geometric figures placed side by side, both featuring a central vertex labeled "0" from which three lines extend outward. Each figure includes additional vertices labeled sequentially: "1," "2," "3," and "4" in the left figure, and "5" in the right figure. The lines connecting these... | datikz-v2_test_62 | Construction of the $U$ and $F$ polynomials for the non-planar massless vertex {\rm V6l0m}, single terms are shown. See Problem~\ref{problemFU} for a complete solution. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[11pt]{article}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{arrows.meta}
\begin{document}
\begin{tikzpicture}[xscale = 3.5, yscale = 3, align = center]
\node (Z) at (0, 0)
{\colorbox{orange!50}{\(Z\)}\\{\footnotesize Neighborhood}};
\node (A0) at (-1, 1)
... | The diagram illustrates a complex flowchart involving two time periods, t=0 and t=1, with nodes representing different states and relationships. At the top left is node B₀ labeled "Behavior at t=0," connected by a dashed arrow pointing right to node B₁ labeled "Behavior at t=1." Below B₀ is node A₀ labeled "Arrests at ... | datikz-v2_test_63 | \emph{% The data-generating process for our stylized example of criminal behavior (true label) and arrest (proxy label), with observed variables highlighted in orange. } | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage[dvipsnames]{xcolor}
\usepackage{tikz}
\usetikzlibrary{arrows,intersections,calc}
\usepackage{pgfplots}
\pgfplotsset{compat=1.14}
\usepackage{xcolor}
\begin{document}
\begin{tikzpicture}[
thick,
>=stealth',
dot/.style = {
draw,
fill =... | The diagram illustrates a hierarchical relationship among various fields within artificial intelligence (AI), machine learning (ML), and deep learning (DL). At the top level is "Artificial Intelligence (AI)" with an example provided: "e.g., Knowledge bases." Below AI, there is a blue rectangle labeled "Machine Learning... | datikz-v2_test_64 | {\em Artificial Intelligence} (AI), {\em Machine Learning} (ML), and {\em Deep Learning} (DL). {\em Cybernetics} is broad and encompasses many fields, including AI. See also Figure~\ref{fig:AI.ML.DL}. % Section~\ref{sc:history} on Historical perspective. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[letterpaper,11pt, margin=1in]{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{xcolor}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc, graphs, graphs.standard, shapes, arrows, positioning, decorations.pathreplacing, decorations.markings, decorations.pathmorphing, fit... | The diagram consists of two trees labeled "T" and "BINARY(T)" respectively, illustrating a transformation process. The tree on the left is labeled "T," with nodes connected by black lines, indicating a general tree structure. The tree on the right is labeled "BINARY(T)," showing a binary tree derived from "T." In both ... | datikz-v2_test_65 | On the left we have the tree before the contraction. On the right, we have the tree after applying \textsc{Binary}. We have highlighted with similar colors the path that is contracted on the left and the final edge on the right. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[11pt,reqno]{amsart}
\usepackage{amssymb,amsmath,amsfonts,amsthm,enumerate,stmaryrd,tensor,mathtools,dsfont,upgreek,bbm,mathrsfs,nameref,microtype,xcolor,bm,tikz}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}[space/.style={align=center,inner sep = 0.2 cm,anchor = center}, map/.style={fill... | The diagram is a complex network of interconnected nodes and arrows, representing a mathematical structure involving various spaces and transformations. At the top left, there's a node labeled \(E^N\), which is connected by an arrow pointing to the right to another node labeled \(E^{s+\mu}\). Below \(E^N\) is a node la... | datikz-v2_test_66 | Commutative diagram arising from the LRI mapping hypotheses for $u_0\in E^N\cap B_{E^r}(0,\delta_R)$ and $r+\mu\leqslant s\leqslant R-\mu$. The `$\hookrightarrow$' are the inclusion maps. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[12pt]{amsart}
\usepackage[utf8]{inputenc}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{xcolor}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
\draw (0,1) -- (0,11);
\draw (1.5,1.5) -- (1.5,9);
\draw (0,2) -- (1.5,4.5);
\draw (1.5,1.5) -- (0,3.5);
\draw (... | The diagram consists of three vertical columns of dots, each column containing five dots. The topmost column is orange, the middle column is blue, and the bottom column is red. Each dot in the orange column is connected by a straight line to a corresponding dot in the blue column, and each of those blue dots is then co... | datikz-v2_test_67 | A minimal poset whose multiset of maximal chain cardinalities is $\{3, 4, 5, 6, 7, 8, 9, 10\} = 3 + \textup{sums}(\{1, 2, 4\})$. Each color represents one of the posets in the ordinal sum. \newline | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[12pt,a4paper,reqno]{amsart}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{xcolor}
\usepackage{tikz-cd}
\usepackage{tikz}
\usetikzlibrary{intersections,fpu}
\begin{document}
\begin{tikzpicture}
\fill[fill=green!30,name path=innertriangle] (0,2) -- (-1.732,-1) -- (1.732,-1) -- cycle;
\foreach \... | The diagram features a central green triangle with its vertices connected by blue lines to three smaller, identical green triangles arranged symmetrically around it. Each of these smaller triangles has a red curved line along its top edge, which is continuous across all three triangles, forming a single, unbroken arc. ... | datikz-v2_test_68 | The relevant monotones on the preordered semiring $S^3$ in the sense of the \emph{test spectrum} of~\cite{Fritz2021b}. In green, we have the matrix $\mathuline{\alpha}$-divergences $D_{\mathuline{\alpha}}$ for $\mathuline{\alpha} \in (A_+ \cup A_-) \setminus \{e_1, \dots, e_d\}$ from~\eqref{eq:MatrDiv}. In red, we have... | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[prl,nofootinbib,twocolumn]{revtex4-2}
\usepackage{color}
\usepackage{amsfonts,amssymb,amsmath}
\usepackage{tikz}
\usepackage{tkz-euclide}
\usetikzlibrary{decorations.pathmorphing}
\tikzset{
v/.style={decorate, decoration={snake, segment length=3mm, amplitude=0.75mm}, draw},
f/.style={draw,decorat... | The diagram consists of two separate panels labeled (A) and (B), both depicting particle interactions involving a proton (P+), a W boson, an electron (ℓ), a positron (ℓ⁺), and a neutrino (νℓ). In panel (A), the proton is shown on the left with a wavy line extending from it, representing the emission of a W boson. The W... | datikz-v2_test_69 | Diagrams for the decay of a charged meson ($ P ^+ $) to an ALP ($ a $), lepton ($ \ell $), and neutrino ($ \nu _\ell $) using the interactions in Eq.\eqref{eq:int}. ({\bf A}) relies on the standard $ \bar\ell \gamma _5 \ell $ vertex. ({\bf B}) uses the enhanced weak-violating vertex. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[preprint,noshowpacs,noshowkeys,aps,pra,nofootinbib]{revtex4-2}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{pgf, tikz}
\usetikzlibrary{positioning}
\usepackage[simplified]{pgf-umlcd}
\begin{document}
\begin{tikzpicture}
\begin{class}[text width=3.6cm]{Chain}{0,0}
\attribute{n\_sit... | The diagram illustrates a hierarchical structure involving four distinct objects: Exciton, Chain, Coupled, and Phonon. Each object is represented by a rectangular box with a red border, indicating a clear separation between them. The Exciton object is positioned on the left side, slightly above the Chain object, which ... | datikz-v2_test_70 | Hierarchy of the Python classes representing the physical systems and Hamiltonians available as samples in \textsc{WaveTrain} . Selected attributes and methods of each class are given in the upper and lower parts, respectively, of the boxes. The corresponding Python files are located in folder wave\_train/hamilton. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[a4paper,12pt]{article}
\usepackage[utf8]{inputenc}
\usepackage{url,amsfonts, amsmath, amssymb, amsthm,color, enumerate, multicol}
\usepackage{tikz}
\usetikzlibrary{arrows,automata}
\usepackage{xcolor}
\begin{document}
\begin{tikzpicture}%
% 0, 4, 8
\foreach \x in {0,2.2}
... | The diagram is divided into two sections labeled "Type-1" and "Type-2," each containing six rectangular blocks arranged in a single row. In the "Type-1" section, the first three rectangles are blue, followed by two yellow ones, and concluding with two red ones. Each rectangle is labeled with the fraction "1/2." In the ... | datikz-v2_test_71 | The arrangement of value blocks in a $(2/5)$-ICD instance. There are three type-1 agents and two type-2 agents. Each color corresponds to a different agent. Note that $\alpha_1 = 1/3 < 2/5 < 1/2 = \alpha_2$. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[10pt, oneside]{amsart}
\usepackage{amssymb}
\usepackage{amssymb}
\usepackage{amsmath,amsfonts}
\usepackage{color}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{shapes.geometric}
\begin{document}
\begin{tikzpicture}[square/.style={regular polygon,regular polygon sides=4}]
% The annulus
\draw[ve... | The diagram features a large gray circle with a smaller concentric gray circle inside it, creating a ring-like shape. Within this ring, there is a shaded area that appears to be a sector or a portion of a larger shape, possibly an ellipse or irregular polygon, with a lighter gray interior and darker gray outline. This ... | datikz-v2_test_72 | The figure shows five different admissible paths at various points in $C$ represented by a white circle and ending at the points $P,Q,R,S$ and $T$. The set $C$ is the lighter gray annulus together with the darker gray compact set $K$ in the center. Squares indicate the points along the paths and dashed segments the jum... | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass{article}
\RequirePackage{tikz}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}[scale = 1]
\begin{scope}[xshift = 0cm, yshift = 4cm]
\node at (0, -0.8) {$1$};
\end{scope}
\begin{scope}[xshift = 2cm, yshift = 4cm]
\draw[red, thick] (-0.5, 0) -- (0.5, 0);
\draw[red, thick] (0, -0.5) -- (0, 0.... | The diagram consists of a grid of 5 rows and 6 columns, with each cell containing a simple geometric shape. The shapes are either red or blue, and they are arranged in a pattern that alternates between the two colors. Each cell contains a single shape, which can be a vertical line, a horizontal line, a cross (a vertica... | datikz-v2_test_73 | Let red be the color $1$, and let blue be the color $2$. The above figure shows all the configurations with non-zero weights in the two-colored $t$-PNG model given by Definition \ref{def:nLmatrix}. Note that some of the configurations can be obtained from the two-colored S6V model by horizontal complementation of the r... | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[nohyperref]{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{amsmath,amsfonts,bm}
\usepackage{color}
\usepackage{tikz}
\usepackage{pgfplots}
\usetikzlibrary{matrix}
\usepgfplotslibrary{groupplots}
\pgfplotsset{compat=newest}
\pgfplotsset{width=7.5cm,compat=1.12}
\usepgfplotslibrary{fillbetw... | The diagram consists of two separate graphs placed side by side, both sharing the same horizontal axis labeled "β1" ranging from 0 to 15. The left graph features a single curve labeled "λ1" in orange, which starts at approximately (0, 5) and rises steeply to about (15, 15). The right graph displays four distinct curves... | datikz-v2_test_74 | Simulated versus asymptotic singular value and alignments corresponding to the first deflation step as per Theorem \ref{thm_first_deflation_step}. We considered $\beta_1 = 5$, $\alpha = 0.5$, $p=100$ and varying $\beta_1\in[0, 15]$. The system of equations in \eqref{eq_system_first_deflation} is solved numerically and ... | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[11pt,letterpaper]{article}
\usepackage{amsmath,amssymb,amsfonts}
\usepackage{tikz,fullpage}
\usetikzlibrary{decorations.markings}
\usetikzlibrary{arrows,petri,topaths}
\usepackage{tikz-network}
\begin{document}
\begin{tikzpicture}[scale=0.45,transform shape]
\Text[x=8, y = 8.7]{\Huge $x$}
\Text[x=10, y... | The diagram is divided into two parts labeled (a) and (b). In part (a), there is a complex network of interconnected nodes, some of which are shaded black while others are light blue. The nodes are connected by lines representing edges, forming a structure that resembles a tree or a graph. Notably, at the top right cor... | datikz-v2_test_75 | Instances of graphs used in the proof of Lemma \ref{lem:max3}. (a) A cycle with trees attached to it. (b) A cycle with single edges attached to it. %edges represent matching edges. The unfilled vertices belong to the set $Y''$. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[11pt,table]{article}
\usepackage{amsmath,amssymb,amsthm,amsfonts}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage[dvipsnames]{xcolor}
\usepackage{colortbl}
\usepackage{tikz}
\usetikzlibrary{arrows.meta,calc}
\usepackage[colorlinks,urlcolor=blue,citecolor=,linkcolor=,hyperfootnotes=false]... | This diagram is a complex network of interconnected nodes, each labeled with a pair of numbers enclosed in square brackets. The nodes vary in size and are connected by lines indicating relationships or dependencies between them. At the top center, there is a larger node labeled [61], which branches out into several sma... | datikz-v2_test_76 | The relation $m\rightarrow n$ defined by: if $A\subseteq X$ exists with $\psi A=m$, then $B\subseteq X$ exists with $\psi B=n$. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[12pt]{amsart}
\usepackage{amsthm,amsmath,amssymb,enumerate,color, tikz}
\usetikzlibrary{shapes.geometric}
\usepackage[colorlinks,anchorcolor=black,citecolor=black,linkcolor=black]{hyperref}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[scale = 1]
\node at (1,0) [rectangle] {$\bullet$};
\node ... | In the diagram, there is a central point labeled "3" with two black dots positioned symmetrically on either side, forming a horizontal line. To the left of these dots, a black dot is placed above, labeled "1," and another black dot below, labeled "2." On the right side of the central point, a black dot is situated abov... | datikz-v2_test_77 | $B_k=\{1,2,3,4,6,7\} \subset[8]$ and its unfolded line, cut between 1 and 8. The maximal arcs of $B_k$ in $[8]$ are $\{1,2,3,4\}$ and $\{6,7\}$. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[10pt,twocolumn,letterpaper]{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{positioning,calc,arrows,shapes,decorations.text}
\usepackage[pagebackref,breaklinks,colorlinks]{hyperref}
\begin{document}
\begin{tikzpicture}
\newcommand{\deflen}[2]{%
\expanda... | The diagram illustrates a process involving two images, labeled "Image" in each case, with one image on the left and another on the right. The left image is marked with the variable "z," while the right image is labeled with "x." An arrow labeled "Train" points from the left image to the right image, indicating a train... | datikz-v2_test_78 | \textbf{A 2D example with a RealNVP\cite{realnvp} normalizing flow.} The image space $\X$ contains data points sampled from 5 Gaussians with different means. The prior distribution in the latent space $\Z$ is Gaussian. Given a normalizing flow that maps $\Z \rightarrow \X$, we tame the model to produce the same image s... | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[a4paper,11pt]{article}
\usepackage{tikz-cd}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[x=0.55pt,y=0.55pt,yscale=-1,xscale=1]
\draw (37,359.72) .. controls (37,322.01) and (82,291.44) .. (137.5,291.44) .. controls (193,291.44) and (238,322.01) .. (238,359.72) .. controls (238,397.43) and ... | The diagram is divided into two main sections by a vertical line. On the left side, there is a large, irregularly shaped object resembling a teardrop or a distorted oval with a smaller, nested shape inside it, labeled "C1". Above this, another similar shape is labeled "M(C1)", suggesting a transformation or mapping fro... | datikz-v2_test_80 | Left: The electric-magnetic duality group is given by the monodromy group $M$ which acts on homology group of SW curve; Right: there is one monodromy group element around each special vacua (including the $\infty$ point on the Coulomb branch), and the global constraint is $M_1M_2M_3=I$. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[a4paper,12pt]{amsart}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{amssymb,,amsmath}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[scale = 3.]
\draw[opacity = 1., black] (2., 1.) -- (1., 0.) -- (4., 0.) -- (5., 1.);
\fill[opacity = 0.1, black] (2., 1.) -- (1... | The diagram illustrates a geometric representation involving a polyhedron and a plane labeled "F". The polyhedron is depicted with dashed lines, indicating its three-dimensional structure, and is positioned within the plane F. A specific polyhedron is highlighted where the parameter \(a = 1\), as indicated by the text ... | datikz-v2_test_82 | An illustration of Proposition \ref{prop : non-closed geodesics}. The non-closed geodesic $\gamma_{\rho_0}$ is damped by some polyhedron in the direction $\Xi_0^\perp \in F$. By density in $F$, it enters that polyhedron. The dashed violet edges and paler-shade part of the polyhedron are below the plane $F$. The dashed ... | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass{article}
\usepackage{tikz}
\usepackage{amsmath, epstopdf, epsfig, multirow, float}
\begin{document}
\begin{tikzpicture}
\node (img) at (0,0) {\includegraphics[width=1\textwidth]{example-image}};
\node at (1.7,-1.8) {$C_\mathit{breakup}=10.5$};
\end{tikzpicture}
\end{document} | A square is divided into four smaller squares by two intersecting diagonals, creating an X-shape in the center. The word "Image" is prominently displayed in the middle of the square, slightly below the intersection of the diagonals. Below the center of the square, near the bottom, the text "$C_{breakup} = 10.5$" is wri... | datikz-v2_test_83 | This figure shows an alternate version of \cref{fig:wecr_ohd_sim} where instead of $\mathit{We}_{cr}$, the variation of $C_\mathit{breakup}$ with respect to $\rho$, $\mathit{Oh}_o$, and $\mathit{Oh}_d$ is plotted. In addition to simulation data, all available experimental data in the relevant non-dimensional space for ... | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{color}
\usepackage[utf8]{inputenc}
\usepackage{tikz}
\usetikzlibrary{positioning}
\usetikzlibrary{decorations,arrows,shapes}
\usepackage{tikz-cd}
\begin{document}
\begin{tikzpicture}[roundnode/.style={circle, draw=black!60, fill=gray!5, ver... | The diagram consists of five nodes labeled \(v\), \(w\), \(x\), and two unnamed nodes, each connected by dotted lines in two distinct colors: blue and red. The node \(v\) is positioned at the bottom left, encircled by a dotted blue line and labeled with \(\{a_1, a_2\}\). Above \(v\), node \(w\) is encircled by a dotted... | datikz-v2_test_86 | Equip the $1$-skeleton above with the factorization rule $c_2 b_1\sim e_1 a_2$ and $e_2 a_1\sim c_1 b_2 $ (the remaining relations are fixed). Notice that $w$ is fully reducible with color set red (dashed) and blue (dotted). If a smaller color set was chosen, notice that the first condition of Definition \ref{red} woul... | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass{article}[12]
\usepackage{amsmath}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{tikz}
\usepackage{tikz-3dplot}
\usepackage{tcolorbox}
\usepackage{pgfplots}
\begin{document}
\begin{tikzpicture}
\draw[black, very thick] (0,0) rectangle (5,4);
\draw[blue, very thick] (0.3,0.3) recta... | The diagram consists of three nested rectangles, each outlined in a distinct color: black, red, and blue. The largest rectangle is black and encompasses the entire area. Inside the black rectangle, there is a red rectangle, which is slightly smaller than the black one. Within the red rectangle, a blue rectangle is posi... | datikz-v2_test_87 | $L^{\star}_{S}$, which is formulated with Schnorr randomness, is compatible with more worlds than $L^{\star}_{ML}$, which employs Martin-L\"of randomness. However, the two are empirically indistinguishable, if one is limited to Turing-strength computation. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[11pt,a4paper]{article}
\usepackage{tikz}
\usetikzlibrary{decorations.pathmorphing}
\usepackage{amsmath,amssymb,amsbsy,amsfonts,latexsym,graphicx}
\usepackage{color,array,subfigure}
\begin{document}
\begin{tikzpicture}[scale=0.7]
\draw (-4,4) -- (-4,2)--(12,2)--(12,4);
\draw [decorate,decoration={... | The diagram consists of three identical square regions labeled \( \mathcal{I}_1^+ \), \( \mathcal{I}_1^- \), and \( \mathcal{I}_2^+ \) arranged in a horizontal sequence. Each square is divided into four smaller triangles by diagonal lines, creating a pattern of alternating shaded and unshaded triangles within each squa... | datikz-v2_test_88 | Schematic diagram of two black holes generated at $\tau=0$ from pure dS. A topology change of the spatial section from an interval to a circle occurs with two copies of global de Sitter spaces by GPBH mechanism. After the black holes evaporate completely, two disjoint dS spaces emerge. We excise small regions at the sp... | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[a4paper,11pt]{article}
\usepackage{tikz}
\usetikzlibrary{shapes.geometric}
\usetikzlibrary{arrows.meta}
\usepackage{tikz-timing}
\usepackage{xcolor,colortbl}
\usepackage[utf8]{inputenc}
\usepackage{graphicx, color}
\begin{document}
\begin{tikzpicture}
\node[draw, minimum width = 16cm, minimum heig... | The diagram illustrates a structured layout with five labeled cells arranged in a grid-like pattern. The cells are color-coded for differentiation: the first cell is light gray, the second cell is a medium purple, the third cell is yellow, the fourth cell is orange, and the fifth cell is a darker shade of purple. Each ... | datikz-v2_test_89 | Schematic view of the optimised placement of the Vanilla RNN showing the 5 cells and the dense layer with respect to the memory and DSP lines inside the FPGA. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[]{article}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\usepackage{pgfplots}
\usepackage{pgfplotstable}
\pgfplotsset{width=10cm,compat=1.9}
\usetikzlibrary{patterns}
\usetikzlibrary{graphs}
\pgfplotsset{compat = 1.13,
% define your own legend style here
my ybar legend/.style={
... | The diagram is a line graph illustrating the performance comparison between two algorithms, LAPACK and HouseHT, in terms of speedup against varying values of n. The x-axis represents the value of n, ranging from 500 to 16000, while the y-axis measures the speedup, which ranges from 0 to 8. Two distinct lines represent ... | datikz-v2_test_91 | The speedup ParaHT achieves over other algorithms for saddle point pencils of varying size. IterHT is not listed because it failed to converge within 10 iterations of iterative refinement. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass{amsart}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{pgfplots}
\usepackage{tikz}
\usetikzlibrary{trees}
\usetikzlibrary{arrows}
\usepackage[T2A]{fontenc}
\usepackage[utf8]{inputenc}
\pgfplotsset{width=8cm}
\begin{document}
\begin{tikzpicture}[shorten >=1pt, auto, node distance=3cm, ultra thick... | The diagram consists of a series of nodes arranged in a linear sequence with additional loops and connections. The nodes are labeled with integers: 0, 1, -1, 2, -2, 3, and -3, positioned horizontally from left to right. Each node is a circle. Node 0 is connected by a solid blue arrow pointing to node 1, which is also c... | datikz-v2_test_92 | (A portion of the) Schreier graph of $D$ for the subgroup $H=\{e,x\}$ with $x$ (dashed, black), $y$ (blue) and $a$ (thin, red). Considered with the generating set $\{x,y\}$ (without the red lines), it looks - from far away - like a ray. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[11pt]{amsart}
\usepackage{amssymb}
\usepackage{amsmath,amscd}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
\draw[gray, thick] (0,0) -- (1,0);
\draw[gray, thick] (0.6235,-0.7818)--(0,0) -- (0.6235,0.7818);
\draw[red, thick] (0.6235,-0.7818)--(0,0);
\draw[gray, thick] (1,0) -- (0.6235,0.7818)--... | The diagram features a complex geometric structure resembling a polyhedron with a central point from which multiple lines extend outward in various directions. These lines form a network of triangles, creating a star-like pattern around the central point. The lines are primarily red, contrasting against the gray backgr... | datikz-v2_test_93 | Tree embedding in a order-7 triangular tiling of the hyperbolic plane: the order-7 triangular tiling is represented by black lines, and the embedded tree is represented by red lines. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass{article}
\usepackage{amsmath,amssymb,graphicx}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{decorations.markings}
\usepackage{color}
\begin{document}
\begin{tikzpicture}[scale=1, every node/.style={scale=1}]
\draw[step=1cm] (0,0) grid (6,7);
\draw[very thick,->] (-0.5, 0) -- (6.5,0) ... | The diagram is a two-dimensional grid with horizontal and vertical axes labeled "z" on the x-axis and "τ" on the y-axis. The grid is composed of black dots arranged in a pattern that resembles a staircase, with each step increasing in height from left to right. Red dashed lines connect these dots in a zigzag manner, st... | datikz-v2_test_94 | Sketch of the dynamics of the walkers inside the moving domain -- a vizualization of Step~1-- Step~3 in the algorithm of Section~\ref{interface_discrete}. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[reqno,11pt]{amsart}
\usepackage[colorlinks=true, pdfstartview=FitV, linkcolor=blue,
citecolor=blue, urlcolor=blue]{hyperref}
\usepackage[T1]{fontenc}
\usepackage{amsmath,amssymb,mathrsfs,mathtools,braket,latexsym,esint}
\usepackage{color}
\usepackage{tikz}
\begin{document}
\begin{tikzpictu... | The diagram illustrates a three-dimensional geometric structure consisting of two nested rectangular prisms. The larger prism is labeled "Q^1" and is positioned with its base on the bottom left corner of the page, extending upwards and to the right. Inside this larger prism, there is a smaller rectangular prism labeled... | datikz-v2_test_96 | In the $3$-dimensional space, interconnected soft fibers do not disconnect the matrix. A simple case is depicted here: the cylindrical perforation $Q^0$ runs through the periodicity cell and its complement $Q^1$ is connected. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[aps,prl,twocolumn,amsmath,amssymb,superscriptaddress]{revtex4-1}
\usepackage{color}
\usepackage{amsmath}
\usepackage{tikz}
\usepackage{color}
\usepackage[colorlinks,bookmarks=false,citecolor=blue,linkcolor=red,urlcolor=blue]{hyperref}
\begin{document}
\begin{tikzpicture}
\node at (-0.8,0) {$\eta^{\bet... | The diagram illustrates a sequence of points labeled with numbers from 1 to 2N, arranged in two parallel rows. The top row is labeled "η^a" and contains blue circles connected by black dashed lines, while the bottom row is labeled "η^b" and features red circles linked by green dashed lines. Each point in the top row co... | datikz-v2_test_98 | The model is solved by a rotated Jordan-Wigner transformation. Majorana bilinears that commute with the Hamiltonian are denoted by green dashed lines, which in turn form the static $Z_{2}$ variables. The solution is a Majorana hopping model, connected by orange and black lines, coupled with static $Z_{2}$ variables. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[12pt]{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{tikz}
\usepackage{amsmath,amssymb,amsthm,amsfonts,latexsym,bbm,xspace,graphicx,float,mathtools,dsfont}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}
\draw[] (-3.5,0) -- (3.5,0); %interval line
\draw [th... | The diagram illustrates a horizontal bar graph with a single large red bar spanning from 0 to 1 on the x-axis. The bar is labeled at its midpoint with "2UFS(x)" in black text. Above the bar, aligned to the right, is another label reading "f*EW" in black text. Below the bar, evenly spaced along the x-axis, are several p... | datikz-v2_test_99 | The instance in the proof of Theorem~\ref{thm: 2-UFS EW}. $f^*_{EW}$ represents the egalitarian welfare maximizing facility placement, whilst $2UFS(x)$ represents the interval of facility placements satisfying 2-UFS. The red intervals denote locations that are infeasible under 2-UFS. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[12pt,reqno]{article}
\usepackage{amsthm, amsmath, amsfonts, amssymb, amscd, mathtools, youngtab, euscript, mathrsfs, verbatim, enumerate, multicol, multirow, bbding, color, babel, esint, geometry, tikz, tikz-cd, tikz-3dplot, array, enumitem, hyperref, thm-restate, thmtools, datetime, graphicx, tensor, br... | The diagram illustrates a potential energy function \( V(\phi) \) in a theoretical physics context, specifically related to the concept of vacuum states in quantum field theory. The horizontal axis represents the field variable \(\phi\), while the vertical axis represents the potential energy \(V(\phi)\). The graph sho... | datikz-v2_test_101 | If the potential has another local minimum with a smaller energy, due to Coleman instantons, the universe will nucleate expanding bubbles of the true vacuum which collectively fill the universe in finite time. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[reqno]{amsart}
\usepackage{amssymb,amsthm,fullpage}
\usepackage{amsmath}
\usepackage{fancyhdr,xcolor}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}
\draw[->] (-3.5,0) -- (3.5,0);
\draw[->] (0,-2.5) -- (0,2.5);
\draw[blue,thick] (-3,-0.5) -- (3,-0.5) -- (3,0.5) -- (-3,0.5)... | The diagram consists of a rectangular grid with four smaller rectangles arranged in a larger rectangle. The larger rectangle is outlined in blue and spans horizontally across the page, with its top edge aligned with the horizontal axis. Inside this larger rectangle, there are four smaller rectangles, each positioned at... | datikz-v2_test_102 | The dots represent the lattice $\Lambda$. Each blue rectangle is a fundamental domain for $\mathbb{R}^2 / \Lambda$. It can be identified with $\Sigma_t$ via the map $\Phi(t,\cdot,\cdot)$. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[12pt,a4paper,reqno,french,tikz]{amsart}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amsthm,amsmath,amsfonts,amssymb,amsxtra,appendix,bookmark,dsfont,bm,mathrsfs,amstext,amsopn,mathrsfs,mathtools,comment,cite,hyperref,color,xcolor,cite,graphicx}
\usepackage{tkz-euclide}
\usepackage{ti... | The diagram illustrates a conceptual framework involving multiple points of perturbation and standard perturbation theory. At the center is a gold circle labeled "G," which serves as the focal point for the connections. Surrounding this central node are five black dots, each labeled with a subscripted "G" followed by a... | datikz-v2_test_103 | In standard perturbation theory, one gets approximations of the solution $\mathcal{F}(G)$ at a new point $G$ by using only the closest $G_j$ on which we know the solution $\mathcal{F}(G_j)$, while in multipoint perturbation we simultaneously use all the $G_j$'s on which we know the solutions. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[11pt]{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usepackage{xcolor}
\usepackage{color}
\usepackage{tcolorbox}
\usetikzlibrary{shadows}
\usetikzlibrary{shadows.blur}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\begin{document}
\begin{tikzpicture}[
rednode/.sty... | The diagram consists of two separate line graphs placed vertically, each depicting the "loss" of different components over time, labeled as "step" on the x-axis. The top graph is titled "loss of a," while the bottom graph is titled "loss of main." Both graphs feature two lines: one red with a circular marker labeled "S... | datikz-v2_test_104 | The training curves of \textit{Task} $a$ and $main$ using \textcolor{red}{single model} and \textcolor{blue}{multitask model}. The optimum points are marked in the figures. Note that our batch size is 64. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[11pt]{article}
\usepackage{amsmath}
\usepackage[T1]{fontenc}
\usepackage{color,graphicx}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{pgfplots}
\usepackage{pgf}
\usepackage{tikz}
\usetikzlibrary{patterns}
\usepgfplotslibrary{patchplots}
\usetikzlibrary{pgfplots.patchplots}
\pgfplotsset{width=9cm... | The diagram consists of two distinct graphs placed side by side on a white background. The graph on the left is a dense network with numerous nodes connected by lines, forming a complex web-like structure. The nodes are primarily blue, with some white nodes scattered throughout, suggesting a specific pattern or functio... | datikz-v2_test_105 | The complete multipartite graph $K_{2,3,3}$ (left) and the threshold graph $((O_3\vee K_2)\cup O_4)\vee K_1$ (right) with sedentary vertices marked blue | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[12pt]{amsart}
\usepackage{amssymb,amsmath}
\usepackage{tikz}
\usepackage{color}
\usetikzlibrary{patterns}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale=.6]
\pgfmathsetmacro\ax{1}
\pgfmathsetmacro\ay{0}
\pgfmathsetmacro\bx{1 * cos(120)}
\pgfmathsetmacro\by{1 * sin(120)}
\pgfmathsetmac... | The diagram features a circular shape divided into eight equal segments by radiating lines from its center. Each segment is filled with a pattern of small dots, alternating in color between two shades of gray. The circle is bisected by a vertical dashed line running through its center, creating two symmetrical halves. ... | datikz-v2_test_106 | For $A_{2}$ we depict the sets $v^{-1}(\lambda_{v}+P^{+})$ for $v\in W^{I}$. The union of these sets constitute a fundamental domain for the action of $W_{I}$ on $P$. The relevant elements are tabulated on the left while the copies of $P^{+}$ are depicted in different gray tones to indicate to which fundamental domain ... | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[a4paper,11pt]{article}
\usepackage{tikz-cd}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[x=0.45pt,y=0.45pt,yscale=-1,xscale=1]
\draw (100,141.61) .. controls (100,122.5) and (134.03,107) .. (176,107) .. controls (217.97,107) and (252,122.5) .. (252,141.61) .. controls (252,160.72) and (217... | The diagram consists of two distinct sections separated by a horizontal line. The upper section features two overlapping, irregularly shaped ovals with a dashed red line running through them, suggesting a transformation or connection between the two shapes. An arrow points from the left oval to the right, indicating a ... | datikz-v2_test_107 | Up: There is only one cut curve for a genus two Riemann surface; There are two components after the cut; Bottom: The weighted graph for the cut system. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[11pt]{article}
\usepackage{amsmath,amssymb,amsthm}
\usepackage[usenames,dvipsnames]{xcolor}
\usepackage{tikz}
\usetikzlibrary{calc, arrows.meta}
\tikzset{vtx/.style={circle, fill, inner sep=1.5pt}}
\tikzset{openvtx/.style={circle, draw, inner sep=1.5pt}}
\begin{document}
\begin{tikzpicture}
\foreach \... | The diagram illustrates a complex network structure with four main nodes labeled \(x\), \(y\), \(z\), and \(x'\). These nodes form a diamond-like shape, with \(x\) and \(x'\) positioned at opposite ends, and \(y\) and \(z\) forming the top and bottom vertices respectively. Each node is connected to multiple smaller nod... | datikz-v2_test_108 | A disk ${\mathcal D}\subseteq{\mathcal H}$ constructed from the semi-admissible pair $(xyz,x'yz)$. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usepackage[utf8]{inputenc}
\usetikzlibrary{arrows.meta}
\usetikzlibrary{bending}
\newcommand{\opname}[2]{\texttt{[}#1{\cdot}#2\texttt{]}}
\newcommand{\SigFunc}[1]{\mathsf{S}#1}
\newcommand{\Alg}{\mathcal{A}}
\newcommand{\edges}[1]{... | The diagram illustrates a conceptual relationship between two sets, labeled "ST" on the left and "ET" on the right, connected by an arrow labeled "[e·e]". This arrow points from ST to ET, indicating a mapping or transformation process. Within these sets, there is a smaller, nested circle labeled "A", which contains ano... | datikz-v2_test_109 | The $\mathsf{S}T$-algebra $\mathcal{A}=\mathsf{A}_{T}a$ where $a:A\rightarrow T$ | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[a4paper,runningheads]{llncs}
\usepackage[T1]{fontenc}
\usepackage[table]{xcolor}
\usepackage{pgfplots}
\usepackage{amsmath,amssymb}
\usepackage{tikz}
\usetikzlibrary{shapes,shapes.geometric,arrows,fit,calc,positioning,automata,chains,matrix.skeleton, arrows.meta}
\tikzset{nature/.style={draw,rectangle}}
... | The diagram illustrates a conceptual flow involving two distinct regions, labeled as \(\mathcal{M}\) and \(\mathcal{M}'\). Within \(\mathcal{M}\), there is a red dashed rectangle containing two circles, \(u\) and \(v\), connected by a solid red arrow pointing from \(u\) to \(v\). Outside \(\mathcal{M}\), in \(\mathcal{... | datikz-v2_test_110 | The MDP $\mathcal{M'}$ where $p\sim q$ iff $u\trianglelefteq V$ in $\mathcal{M}.$ | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[11pt]{article}
\usepackage{amsthm, amsmath, amssymb, amsfonts, url, booktabs, tikz, setspace, fancyhdr, bm}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[scale=1]
\node[shape = circle,draw = black,fill,inner sep=0pt,minimum size=1.0mm] at (6,-1) {};\node[above] at (6,-1) {$v$};
\node[shape =... | The diagram illustrates a complex geometric structure centered around a single vertex labeled "u". From this central vertex, multiple lines extend outward in various directions, forming a series of triangles and quadrilaterals. On the left side, there is a triangle with vertices labeled "x1", "y1", and "z1", connected ... | datikz-v2_test_111 | Finding a $C^{\square}_{2\ell}$ from rich $4$-tuples in Lemma \ref{lem:rich rare} | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[a4paper,reqno]{amsart}
\usepackage[dvipsnames]{xcolor}
\usepackage{amsfonts,amssymb}
\usepackage{amsmath}
\usepackage{xcolor}
\usepackage{tikz}
\usetikzlibrary{matrix}
\usetikzlibrary{cd}
\begin{document}
\begin{tikzpicture}[baseline= (a).base]
\node[scale=0.65] (a) at (0,0){
\begin{tikzcd}
... | The diagram consists of a series of nodes arranged in a grid-like pattern. At the top left corner is a node labeled "q₀P₀," connected by a blue arrow pointing right to another node labeled "q₁P₁." This sequence continues with additional nodes labeled "q₂P₂" through "qₜ₋₁Pₜ₋₁," each connected by blue arrows moving right... | datikz-v2_test_112 | Lifted Darboux coordinates for the Takiff algebra of degree $r$. In this diagram we have $r+1$ rows, and we number them starting at the top with row $0$, all the way down to row $r$. The sum of the elements in row $k$ gives the coefficient $A_{{k}}$ of the power of $z^{-{{k}}-1}$, the blue arrow follows each $Q_i$ matr... | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[letter]{amsart}
\usepackage{amsmath,amssymb}
\usepackage{tikz-cd}
\newcommand{\figscale}{.75}
\begin{document}
\begin{tikzpicture}
\pgftext{%
\includegraphics[scale=\figscale]{example-image}%
}%
\node at (.9,.3) {$a'$};
\node at (.95,-.6) {$b'$};
\node at (2.2,-.55) {$a$};
\node at (-.55,-1.15) {$b$}... | The diagram features a square divided into four smaller squares by two intersecting lines forming an "X" shape at its center. The square is shaded in gray, with the lines creating four triangular regions within it. At the intersection of these lines, there is a central point labeled "δ". Surrounding this central point ... | datikz-v2_test_113 | The arc $\delta$ in the proof of Lemma~\ref{lem:oddcohere} when $p_i, p_{i+1} \in \alpha_0'$. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[a4paper,12pt,leqno]{amsart}
\usepackage[utf8]{inputenc}
\usepackage{amsmath,amssymb,amsthm,mathtools}
\usepackage{tikz, tikz-cd}
\begin{document}
\begin{tikzpicture}
\fill[color=white!70!red] (30:0.6) to[out=45,in=90] (1,0) to[out=-90,in=-45] (-30:0.6) -- (0,0) -- (-150:0.6) to[out=-45,in=-135] (1,-... | A simple diagram features a pink circle with a green vertical line segment inside it, positioned near the top left corner of the page. Two diagonal lines intersect within the circle, forming an "X" shape, with one line extending from the top left to the bottom right and the other from the top right to the bottom left. ... | datikz-v2_test_114 | The image of \( S' \) is shown shaded in red, a subarc of \( w \) is shown in green, and the black paths are subarcs of two of the three arcs which contain \( p(\partial S') \). | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[12pt]{article}
\usepackage{amsmath, amssymb, graphicx, amsthm}
\usepackage{tikz-cd}
\tikzset{>=stealth}
\usepackage{pgfplots}
\usepackage{xcolor}
\begin{document}
\begin{tikzpicture}[scale=.98]
\begin{axis}[xmin=-3, xmax=3, ymin=-0.5, ymax=1.5, samples=50, axis lines=middle]
\addplot[red, ve... | The diagram features a red curve that smoothly transitions from left to right across a horizontal axis marked with integers from -3 to 3. The curve begins at approximately (-3, 0) and rises steeply to reach its peak near (1, 1). It then gradually descends back to the x-axis at (3, 0). Two vertical dashed blue lines are... | datikz-v2_test_115 | Schematic of distance-to-set prior for the set $\bTheta = [-1,1]$. The blue dashed line represents the indicator $\1_{\bTheta}$, and the red solid line represents the relaxation of $\1_{\bTheta}$ that we consider in this paper. | vlm_description(Qwen2.5-VL-7B-Instruct) |
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