caption stringlengths 0 5.16k | code stringlengths 99 1.67M | image imagewidth (px) 336 336 | uri stringlengths 21 93 | origin stringclasses 9
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Sketch of part of eqn:HYLconsistency to show the inequality RelDensity. Note 0. | \documentclass[reqno,11pt]{amsart}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage[pdftex]{color}
\usepackage{color}
\usepackage{color}
\usepackage{tikz}
\usetikzlibrary{decorations.pathreplacing,angles,quotes}
\begin{document}
\begin{tikzpicture}
\draw[dashed] (2,-0.5) -- (2,4);
\draw[thick] (2,4) to [ou... | https://arxiv.org/abs/1809.03387 | arxiv | 2018-09-11T02:21:02 | |
Sketch of $g^\chi\left(\delta\right)$ for $\chi=0$, $d=3,4$, and $\beta\leq \left(\frac{b^2\ex^2}{\left(4\pi\right)^d}\right)^\frac{1}{d-2}$. This shows $\mu+\alpha>0$, but the sketch translates with $\mu$. | \documentclass[reqno,11pt]{amsart}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage[pdftex]{color}
\usepackage{color}
\usepackage{color}
\usepackage{tikz}
\usetikzlibrary{decorations.pathreplacing,angles,quotes}
\begin{document}
\begin{tikzpicture}[scale = 2]
\draw[->] (0,0) node[below left]{$0$} -- (0,3) node[... | https://arxiv.org/abs/1809.03387 | arxiv | 2018-09-11T02:21:02 | |
The two real branches of W: W_0 and W_-1. | \documentclass[reqno,11pt]{amsart}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage[pdftex]{color}
\usepackage{color}
\usepackage{color}
\usepackage{tikz}
\usetikzlibrary{decorations.pathreplacing,angles,quotes}
\begin{document}
\begin{tikzpicture}[xscale=1.5]
\draw[->] (-1.1,0) -- (3.1,0) node[below]{$x$};
\d... | https://arxiv.org/abs/1809.03387 | arxiv | 2018-09-11T02:21:02 | |
a) Mean distortion (average perturbation in latent features across all layers) for various networks. We use Lenet-5-Caffe for MNIST and VGG-16 for CIFAR-10 and CIFAR-100 dataset. Our proposed method has minimum distortion compared to all the other networks. b) - d) Visualization of the mean distortion for the input lay... | \documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amsfonts,amsmath,amssymb}
\usepackage{color}
\usepackage{tikz}
\usepackage{pgfplots}
\usepgfplotslibrary{colorbrewer}
\usepackage{pgfkeys}
\begin{document}
\begin{tikzpicture}
\begin{axis}[
ybar,
legend style={at={(0.5,-0.15)}, a... | https://arxiv.org/abs/1908.04355 | arxiv | 2019-08-14T02:02:09 | |
A graphical representation of the model (showing only the 1st strategy). Gray circles indicate observed data, whereas white circles indicate variables that are either estimated ( W^v, W^a, and z) or marginalised out ( A). The plate indicates replication over all images. | \documentclass[review]{elsarticle}
\usepackage{tikz}
\usetikzlibrary{fit,positioning}
\usepackage[fleqn]{amsmath}
\usepackage{amsmath}
\usepackage[
pdfstartview=FitB,
pdfpagemode=UseOutlines,
bookmarksnumbered=true,
colorlinks=true,
pdftitle={An Algorithm for Learning Shape and Appearance Models wit... | https://arxiv.org/abs/1807.10731 | arxiv | 2018-07-30T02:12:43 | |
The grey dahsed line is called the extended straight strand. | \documentclass[11pt]{amsart}
\usepackage{amsmath,amssymb}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[scale=.4]
\draw [ultra thick] (-3,0) arc [radius=3, start angle=180, end angle= 0];
\draw [ultra thick] (-3,0) arc [radius=11/2, start angle=180, end angle= 360];
\draw [ultra thick] (-2,0) arc [radius=2,... | https://arxiv.org/abs/1801.10428 | arxiv | 2018-02-01T02:07:41 | |
The Figure 8 knot, being drawn so that the grey and the black arc never cross themselves. The last diagram is obtained by bending the grey arc so it is straight, pulling the black arc and all crossings with it. The first 3 diagrams of this figure are from AST. | \documentclass[11pt]{amsart}
\usepackage{amsmath,amssymb}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[scale=.4]
%%%%
\begin{scope}[xshift = -10cm]
\draw [ultra thick,gray] (-.2,.-.2) to [out=40, in=-90] (1.5,2.4);
%
\draw [ultra thick, gray] (-.2,-.2) to [out=180+40, in=90] (-1.2,-1.6) to [out=-90, in=... | https://arxiv.org/abs/1801.10428 | arxiv | 2018-02-01T02:07:41 | |
Applying (X_i,j^-), one can move from to dots in NE, NW, SE and SW directions, while from , only to dots in the interior or in the boundary. | \documentclass[a4paper,reqno,12pt]{amsart}
\usepackage{amsmath}
\usepackage[T1]{fontenc}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[scale=0.75, x=5mm,y=5mm, >=stealth] % Case: p=14,q=12
\path [fill=gray!25] (7,6) -- (7,11) -- (13,17) -- (17,13) -- (10,6) -- (7,6);
\draw[->] (0,0) -- (17,0) node[right] {$... | https://arxiv.org/abs/1801.10298 | arxiv | 2018-02-01T02:04:37 | |
The partition of vertices of by distance from a pair of vertices u, v at distance 2. The part that is at distance i from u and distance j from v has size p_ij^2. As the graph is bipartite, the intersection number p_ij^2 is nonzero only when i+j is even. Moreover, there are no edges within each part. It is natural to co... | \documentclass[12pt]{article}
\usepackage[utf8x]{inputenc}
\usepackage{amsmath, amssymb, amsthm, amsfonts, tikz, mathtools}
\usepackage[colorlinks=true,citecolor=black,linkcolor=black,urlcolor=blue]{hyperref}
\usepackage{color}
\usetikzlibrary{shapes}
\begin{document}
\begin{tikzpicture}[style=thick,scale=0.6]
\scr... | https://arxiv.org/abs/1803.10797 | arxiv | 2018-03-30T02:00:52 | |
Overall architecture of the specification checker | \documentclass[conference]{IEEEtran}
\usepackage{amsmath,amssymb,amsfonts}
\usepackage{xcolor}
\usepackage{tikz}
\usetikzlibrary{arrows,shapes,positioning}
\begin{document}
\begin{tikzpicture}[
base/.style={rounded corners,draw=black,minimum width=1.5cm,text centered},
align=center,
scale=0.3
]
\node (top) at (... | https://arxiv.org/abs/1903.00334 | arxiv | 2019-03-04T02:16:34 | |
Local transformation from _0(U) to cube groves | \documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts,amssymb}
\usepackage[usenames, dvipsnames]{xcolor}
\usepackage{tikz}
\usepackage{tikz-3dplot}
\usetikzlibrary{arrows}
\usetikzlibrary{decorations}
\usetikzlibrary{matrix}
\usetikzl... | https://arxiv.org/abs/1708.03239 | arxiv | 2017-08-11T02:06:51 | |
Query translation paths found and studied. | \documentclass{article}
\usepackage[table]{xcolor}
\usepackage{tikz}
\usetikzlibrary{shapes,positioning}
\begin{document}
\begin{tikzpicture}
% Styles
\tikzstyle{language}=[draw,rounded corners=4pt]
% Nodes
\node[language] (sparql) at (0,-1) {SPARQL};
\node[language] (sql) at (0,4) {SQL};
\nod... | https://arxiv.org/abs/1910.03118 | arxiv | 2019-10-09T02:04:35 | |
The g, X, Y and Z variables, implicitly taken at x^3. | \documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts,amssymb}
\usepackage[usenames, dvipsnames]{xcolor}
\usepackage{tikz}
\usepackage{tikz-3dplot}
\usetikzlibrary{arrows}
\usetikzlibrary{decorations}
\usetikzlibrary{matrix}
\usetikzl... | https://arxiv.org/abs/1708.03239 | arxiv | 2017-08-11T02:06:51 | |
Edge weights for the dimer model on G^Q at a face f F. | \documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts,amssymb}
\usepackage[usenames, dvipsnames]{xcolor}
\usepackage{tikz}
\usepackage{tikz-3dplot}
\usetikzlibrary{arrows}
\usetikzlibrary{decorations}
\usetikzlibrary{matrix}
\usetikzl... | https://arxiv.org/abs/1708.03239 | arxiv | 2017-08-11T02:06:51 | |
A face f, the 10 local configurations 1_a, , 5_b at f and their local weight w^f_i. | \documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts,amssymb}
\usepackage[usenames, dvipsnames]{xcolor}
\usepackage{tikz}
\usepackage{tikz-3dplot}
\usetikzlibrary{arrows}
\usetikzlibrary{decorations}
\usetikzlibrary{matrix}
\usetikzl... | https://arxiv.org/abs/1708.03239 | arxiv | 2017-08-11T02:06:51 | |
A portion of a stepped solid U. | \documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts,amssymb}
\usepackage[usenames, dvipsnames]{xcolor}
\usepackage{tikz}
\usepackage{tikz-3dplot}
\usetikzlibrary{arrows}
\usetikzlibrary{decorations}
\usetikzlibrary{matrix}
\usetikzl... | https://arxiv.org/abs/1708.03239 | arxiv | 2017-08-11T02:06:51 | |
The stepped solid U_3 and periodic weights on the vertices. | \documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts,amssymb}
\usepackage[usenames, dvipsnames]{xcolor}
\usepackage{tikz}
\usepackage{tikz-3dplot}
\usetikzlibrary{arrows}
\usetikzlibrary{decorations}
\usetikzlibrary{matrix}
\usetikzl... | https://arxiv.org/abs/1708.03239 | arxiv | 2017-08-11T02:06:51 | |
A configuration _0(U) and the corresponding cube grove. | \documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts,amssymb}
\usepackage[usenames, dvipsnames]{xcolor}
\usepackage{tikz}
\usepackage{tikz-3dplot}
\usetikzlibrary{arrows}
\usetikzlibrary{decorations}
\usetikzlibrary{matrix}
\usetikzl... | https://arxiv.org/abs/1708.03239 | arxiv | 2017-08-11T02:06:51 | |
A taut C^(1)_2 loop configuration. | \documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts,amssymb}
\usepackage[usenames, dvipsnames]{xcolor}
\usepackage{tikz}
\usepackage{tikz-3dplot}
\usetikzlibrary{arrows}
\usetikzlibrary{decorations}
\usetikzlibrary{matrix}
\usetikzl... | https://arxiv.org/abs/1708.03239 | arxiv | 2017-08-11T02:06:51 | |
The infinite stepped solid U with vertex weights g^a,b,c, an x of height 5 and the associated U_x(in blue). The origin (0,0,0) is one of the a variables. | \documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts,amssymb}
\usepackage[usenames, dvipsnames]{xcolor}
\usepackage{tikz}
\usepackage{tikz-3dplot}
\usetikzlibrary{arrows}
\usetikzlibrary{decorations}
\usetikzlibrary{matrix}
\usetikzl... | https://arxiv.org/abs/1708.03239 | arxiv | 2017-08-11T02:06:51 | |
The initial stepped solid U_0 and initial configuration _0. | \documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts,amssymb}
\usepackage[usenames, dvipsnames]{xcolor}
\usepackage{tikz}
\usepackage{tikz-3dplot}
\usetikzlibrary{arrows}
\usetikzlibrary{decorations}
\usetikzlibrary{matrix}
\usetikzl... | https://arxiv.org/abs/1708.03239 | arxiv | 2017-08-11T02:06:51 | |
An index-ordered Merkle tree (IOMT) with 4 leaves (h=2). | \documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage{graphicx,tikz}
\usetikzlibrary{shapes}
\begin{document}
\begin{tikzpicture}[scale=1]
\tikzstyle{every node}=[draw,rectangle,inner sep=2pt]
\draw (0.75,3) node (v34) {\footnotesize $(3,4, \omega_3)$};
\draw (2.75,3) node (v13) {\footnotesize $(1,3, \ome... | https://arxiv.org/abs/1810.07315 | arxiv | 2018-10-18T02:04:53 | |
A binary Merkle tree with 16 leaves (h=4). The complementary nodes of the leaf record l_6 are v_7, v_45, v_03 and v_8f(shaded). | \documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage{graphicx,tikz}
\usetikzlibrary{shapes}
\begin{document}
\begin{tikzpicture}[scale=1]
\tikzstyle{every node}=[draw,rectangle,inner sep=2pt]
\draw (0,0) node (l0) {\footnotesize $ l_0$};
\draw (0.5,0) node (l1) {\footnotesize $l_1$};
\draw (1,0) node (l2)... | https://arxiv.org/abs/1810.07315 | arxiv | 2018-10-18T02:04:53 | |
Tree representation of an operator and its unfolded composition. The first element in each node represents its label, and the second element represents the atomic operator that belongs to that node. Below there is the operation performed on each node according to their children and their atomic operators. The atomic op... | \documentclass[sigconf]{acmart}
\usepackage{tikz}
\usepackage{amsmath}
\usepackage{color,soul}
\begin{document}
\begin{tikzpicture}[auto, node distance=1.8cm, every loop/.style={},
thick,main node/.style={circle,draw,font=\sffamily\Large\bfseries}]
\node[main node] (1) {$O_{0}, f_{0}$};
\node... | https://arxiv.org/abs/1712.06070 | arxiv | 2017-12-19T02:08:05 | |
Projections of a 3-dimensional cone. | \documentclass[12pt]{amsart}
\usepackage{amsmath,amssymb,amsfonts,latexsym,txfonts}
\usepackage{fancyhdr,tikz}
\begin{document}
\begin{tikzpicture}[xscale=1,yscale=1]
\shade[top color=gray, bottom color=white] (0-1.33,-2)--(0,0)--(0+0.6,-2)--(0-1.33,-2);
\draw[fill] (0,-0.01) circle [radius=0.03];
\draw[thick,->] (0,... | https://arxiv.org/abs/1909.04505 | arxiv | 2019-09-11T02:17:51 | |
_C(e)= 2 | \documentclass[12pt]{amsart}
\usepackage{amsmath,amssymb,amsfonts,latexsym,txfonts}
\usepackage{fancyhdr,tikz}
\begin{document}
\begin{tikzpicture}[xscale=0.8,yscale=0.8]
\draw[thick,dotted,domain=0:360] plot ({2*cos(\x)}, {0.5*sin(\x)});
\draw[thick,dotted,domain=0:360] plot ({cos(60)*2*cos(\x) - sin(60)*0.4*sin(\x)... | https://arxiv.org/abs/1909.04505 | arxiv | 2019-09-11T02:17:51 | |
A spherical triangle. | \documentclass[12pt]{amsart}
\usepackage{amsmath,amssymb,amsfonts,latexsym,txfonts}
\usepackage{fancyhdr,tikz}
\begin{document}
\begin{tikzpicture}[xscale=1,yscale=1]
\draw[thick] (0,0) circle [radius=2];
\draw[dotted,domain=180:360] plot ({2*cos(\x)}, {0.5*sin(\x)});
\draw[dotted,domain=0:180] plot ({cos(60)*2*cos(\... | https://arxiv.org/abs/1909.04505 | arxiv | 2019-09-11T02:17:51 | |
Graphical model of the hierarchical Bayesian linear regression model for the SNARC effect. Following the convention of lee2014, nodes represent variables of interest (observed=shaded, latent=unshaded), with dependencies represented via the graph structure. | \documentclass[doc,natbib]{apa6}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{bayesnet}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}
% nodes
\node[obs] (dRT) {$dRT_{ij}$};%
\node[latent, above=of dRT] (mu) {$\mu_{ij}$}; %
\node[latent, above=of mu, xshift=-2cm] (beta) {$\beta_i$};%
... | https://arxiv.org/abs/1710.08171 | arxiv | 2017-10-24T02:12:23 | |
Curves capturing the genus of the surface. | \documentclass[twoside,12pt]{article}
\usepackage{amsmath,amsthm}
\usepackage{amssymb,amsfonts,amsbsy}
\usepackage[utf8]{inputenc}
\usepackage{color}
\usepackage[T1]{fontenc}
\usepackage{tikz}
\usepackage{tikz-cd}
\begin{document}
\begin{tikzpicture}[scale=2]
\shadedraw[top color=orange, draw=none]
(0,0)--(6,0)--(6,... | https://arxiv.org/abs/1706.03697 | arxiv | 2017-06-13T02:12:17 | |
the curves (), () and () do not bound a pair of pants. | \documentclass[twoside,12pt]{article}
\usepackage{amsmath,amsthm}
\usepackage{amssymb,amsfonts,amsbsy}
\usepackage[utf8]{inputenc}
\usepackage{color}
\usepackage[T1]{fontenc}
\usepackage{tikz}
\usepackage{tikz-cd}
\begin{document}
\begin{tikzpicture}[scale=1]
\shadedraw[top color= orange, very thick]
(0,0) to[out=45... | https://arxiv.org/abs/1706.03697 | arxiv | 2017-06-13T02:12:17 | |
Nonseparating curves and forming a peripheral pair. | \documentclass[twoside,12pt]{article}
\usepackage{amsmath,amsthm}
\usepackage{amssymb,amsfonts,amsbsy}
\usepackage[utf8]{inputenc}
\usepackage{color}
\usepackage[T1]{fontenc}
\usepackage{tikz}
\usepackage{tikz-cd}
\begin{document}
\begin{tikzpicture}[scale=2]
\shadedraw[top color=orange, draw=none] (0,0) to[out=90,in... | https://arxiv.org/abs/1706.03697 | arxiv | 2017-06-13T02:12:17 | |
\{,\} is a peripheral pair. | \documentclass[twoside,12pt]{article}
\usepackage{amsmath,amsthm}
\usepackage{amssymb,amsfonts,amsbsy}
\usepackage[utf8]{inputenc}
\usepackage{color}
\usepackage[T1]{fontenc}
\usepackage{tikz}
\usepackage{tikz-cd}
\begin{document}
\begin{tikzpicture}[scale=2]
\shadedraw[top color=orange, draw=none] (0,0) to[out=90,in... | https://arxiv.org/abs/1706.03697 | arxiv | 2017-06-13T02:12:17 | |
The collection of subsurfaces \{_j\}_j 1. | \documentclass[twoside,12pt]{article}
\usepackage{amsmath,amsthm}
\usepackage{amssymb,amsfonts,amsbsy}
\usepackage[utf8]{inputenc}
\usepackage{color}
\usepackage[T1]{fontenc}
\usepackage{tikz}
\usepackage{tikz-cd}
\begin{document}
\begin{tikzpicture}[scale=.8]
%Parte de arriba (naranja)
\shadedraw[top color=orange,... | https://arxiv.org/abs/1706.03697 | arxiv | 2017-06-13T02:12:17 | |
The specification of the class L. | \documentclass{amsart}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[
scale=0.7,
level/.style={thick},
virtual/.style={thick,densely dashed},
trans/.style={thick,<->,shorten >=2pt,shorten <=2pt,>=stealth},
classical/.style={thin,double,<->,shorten >=4pt,sho... | https://arxiv.org/abs/1909.10460 | arxiv | 2019-10-10T02:17:45 | |
A linear CAMME to demonstrate the effect of measurement error on conditional independence and dependence relationships. For simplicity, we consider the special case where there is measurement error only in X_2, i.e., X_2 = X_2 + E_2, but X_1 = X_1 and X_3 = X_3. | \documentclass[]{article}
\usepackage{amsmath}
\usepackage{amssymb,amsmath,amsthm}
\usepackage{color}
\usepackage{tikz}
\usetikzlibrary{arrows,fit,positioning,shapes,snakes}
\pgfarrowsdeclare{arcsq}{arcsq}{
\arrowsize=0.2pt
\advance\arrowsize by .5\pgflinewidth
\pgfarrowsleftextend{-4\arrowsize-.5\pgflinewidth}
... | https://arxiv.org/abs/1706.03768 | arxiv | 2017-06-14T02:00:12 | |
A causal model in which X^*_i are not non-deterministically faithful w.r.t. G because of parameter coupling. | \documentclass[]{article}
\usepackage{amsmath}
\usepackage{amssymb,amsmath,amsthm}
\usepackage{color}
\usepackage{tikz}
\usetikzlibrary{arrows,fit,positioning,shapes,snakes}
\pgfarrowsdeclare{arcsq}{arcsq}{
\arrowsize=0.2pt
\advance\arrowsize by .5\pgflinewidth
\pgfarrowsleftextend{-4\arrowsize-.5\pgflinewidth}
... | https://arxiv.org/abs/1706.03768 | arxiv | 2017-06-14T02:00:12 | |
Part of the causal graph G to illustrate the situation given by assumption 6. | \documentclass[]{article}
\usepackage{amsmath}
\usepackage{amssymb,amsmath,amsthm}
\usepackage{color}
\usepackage{tikz}
\usetikzlibrary{arrows,fit,positioning,shapes,snakes}
\pgfarrowsdeclare{arcsq}{arcsq}{
\arrowsize=0.2pt
\advance\arrowsize by .5\pgflinewidth
\pgfarrowsleftextend{-4\arrowsize-.5\pgflinewidth}
... | https://arxiv.org/abs/1706.03768 | arxiv | 2017-06-14T02:00:12 | |
Overall Architecture of PaD | \documentclass[x11names]{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{tikz}
\usetikzlibrary{shapes,calc,arrows,chains,positioning,shadows,trees}
\begin{document}
\begin{tikzpicture}[auto, node distance=3cm and 6 cm,>=latex]
\tikzset{
base/.style={draw, on grid,align=center, minimum heig... | https://arxiv.org/abs/1809.01701 | arxiv | 2018-10-03T02:03:19 | |
Flowchart detailing the layout procedure. Please refer to figure fig:illustration to observe the results of the layout procedure. The cases with 1,2 and 4 non-overlapping bounding boxes have been illustrated in figure fig:illustration | \documentclass[x11names]{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{tikz}
\usetikzlibrary{shapes,calc,arrows,chains,positioning,shadows,trees}
\begin{document}
\begin{tikzpicture}[%
>=triangle 60, % Nice arrows; your taste may be different
start chain=going below, ... | https://arxiv.org/abs/1809.01701 | arxiv | 2018-10-03T02:03:19 | |
Flowchart illustrating the overall flow of the ROI packing algorithm. Please refer to figure fig:illustration to observe the results of the ROI packing algorithm | \documentclass[x11names]{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{tikz}
\usetikzlibrary{shapes,calc,arrows,chains,positioning,shadows,trees}
\begin{document}
\begin{tikzpicture}[%
>=triangle 60, % Nice arrows; your taste may be different
start chain=going below, ... | https://arxiv.org/abs/1809.01701 | arxiv | 2018-10-03T02:03:19 | |
A finite automaton accepting the language bc^*b+bac^*b | \documentclass[letterpaper]{amsart}
\usepackage{amssymb}
\usepackage{pgf}
\usepackage{tikz}
\usetikzlibrary{arrows,automata}
\begin{document}
\begin{tikzpicture}[->,>=stealth',shorten >=1pt,auto,node distance=2.0cm, semithick]
\node[state] (A) {$q_a$};
\node[state] (B) [rig... | https://arxiv.org/abs/1804.09609 | arxiv | 2018-04-26T02:13:07 | |
The graph P_4 | \documentclass[letterpaper]{amsart}
\usepackage{amssymb}
\usepackage{pgf}
\usepackage{tikz}
\usetikzlibrary{arrows,automata}
\begin{document}
\begin{tikzpicture}[-,>=stealth',auto,node distance=1.5cm,
semithick]
\node[state] (A) {$a$};
\node[state] (B) [righ... | https://arxiv.org/abs/1804.09609 | arxiv | 2018-04-26T02:13:07 | |
Relating the error to 2 in n=2 dimensions. | \documentclass[11pt]{article}
\usepackage{amssymb,amsmath,amsthm,amsfonts}
\usepackage{xcolor}
\usepackage{tikz}
\usetikzlibrary{calc,patterns,angles,quotes}
\usepackage[colorlinks]{hyperref}
\begin{document}
\begin{tikzpicture}[scale=1.8]
\coordinate (mid) at (2,-0.25);
\coordinate (up) at (2.5,0.0625);
\coordinate ... | https://arxiv.org/abs/1809.01731 | arxiv | 2018-09-10T02:12:40 | |
The mapping cylinder of f: X_0 X_1 | \documentclass[fleqn]{article}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}
\draw[thick] (-4.1,3.3) ellipse (0.3 and 0.7);
\draw[thick] (-1.4,3.3) ellipse (0.5 and 1);
\draw (-4.1,4) -- (-1.4,... | https://arxiv.org/abs/1908.06201 | arxiv | 2019-08-20T02:04:21 | |
The homotopy colimit of X_0 f X_1 g X_2 | \documentclass[fleqn]{article}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}
\draw[thick] (-4.1,3.6) ellipse (0.2 and 0.5);
\draw[thick] (-2,5.7) ellipse (0.5 and 0.8);
\draw[thick] (-0.4,2.9) ellipse (0... | https://arxiv.org/abs/1908.06201 | arxiv | 2019-08-20T02:04:21 | |
The (e+1)th error is any possible substitution at a position j_e<p i+m. | \documentclass[fontsize=9pt]{llncs}
\usepackage{amsmath,amsfonts}
\usepackage{tikz}
\usetikzlibrary{trees}
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\usetikzlibrary{decorations.pathmorphing,shapes}
\usetikzlibrary{calc,decorations.pathmorphing,shapes}
\usepackage[T1]{fontenc}
\usep... | https://arxiv.org/abs/1801.04425 | arxiv | 2018-01-16T02:04:49 | |
The points 1-^-b for q=5 | \documentclass[a4paper]{scrartcl}
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\usetikzlibrary{decorations.pathreplacing,angles,quotes}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amssymb}
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\begin{document}
\begin{tikzpicture}[scale=2]
\draw[->] (-0.3,0... | https://arxiv.org/abs/1807.01920 | arxiv | 2018-07-06T02:06:18 | |
Non-empty unions of orbits on the operation of Z_7 on the edge set of the labeled graph with 7 vertices. If is trivially true then ^Z_7(_7) contains all of the above subsets of orbits. If holds only for bipartite graphs then none of the above subsets is contained in ^Z_7(_7). If is planarity then ^Z_7(_7) = \{O_1 , O_2... | \documentclass[a4paper]{scrartcl}
\usepackage{tikz}
\usetikzlibrary{decorations.pathreplacing,angles,quotes}
\usepackage[utf8]{inputenc}
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\usepackage{amssymb}
\usepackage{amsmath}
\usepackage[amsmath,hyperref,thmmarks]{ntheorem}
\begin{document}
\begin{tikzpicture}[-,thick, scale=0.3856]
\no... | https://arxiv.org/abs/1807.01920 | arxiv | 2018-07-06T02:06:18 | |
A connecting graph H_i,j for t=4, r=3 and r'=7. | \documentclass[11pt]{article}
\usepackage{color}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz,pgfmath}
\begin{document}
\begin{tikzpicture}[scale =1]
\def \vt{circle (1.5pt) [fill]}
\path (-5,-1) coordinate (Q);
\draw (Q)++(-.75,+.5) rectangle +(1,4);
\path (Q)+(3,2.5) co... | https://arxiv.org/abs/1907.12149 | arxiv | 2019-08-15T02:09:22 | |
Classical two-stage model of one constitutive gene. M and P represent the respective number of mRNAs and proteins in a given cell. The parameter _1 is the rate at which mRNAs are produced, _2M will be the rate at which proteins are translated, _1 indicates the mRNA degradation rate and _2 is the rate at which protein l... | \documentclass[american]{article}
\usepackage[T1]{fontenc}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{positioning,calc,arrows}
\begin{document}
\begin{tikzpicture}
\matrix [column sep=20mm, row sep=10mm,ampersand replacement=\&] {
\node (g) [draw=none,fill=none] {}; \&
\node (m) [... | https://arxiv.org/abs/1711.06378 | arxiv | 2017-11-22T02:03:53 | |
Illustration of the Marked Point Poisson Process describing the dynamic of mRNAs: each mRNA is characterized by the point (x_i,y_i)(with (x_i,y_i) following the MPPP N, whose distribution is of intensity ). The random variable x_i represents the time at mRNA creation and y_i its lifetime, hence this mRNA exists from vo... | \documentclass[american]{article}
\usepackage[T1]{fontenc}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{positioning,calc,arrows}
\begin{document}
\begin{tikzpicture}[
scale=1.6,
IS/.style={blue, thick},
LM/.style={red, thick},
axis/.style={very thick, ->,... | https://arxiv.org/abs/1711.06378 | arxiv | 2017-11-22T02:03:53 | |
Other features tested. (A): Sampling example of mRNA and protein concentration in order to create additional genes. (B): Model variant with production of RNA-polymerases and ribosomes. Distributions of the number of FabH protein for cells of volume 1.40\, m^3,1.95\, m^3 or 2.50\, m^3. For each volume, the distribution ... | \documentclass[american]{article}
\usepackage[T1]{fontenc}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{positioning,calc,arrows}
\begin{document}
\begin{tikzpicture}[scale=4]
\node[draw,shape=rectangle] (fy) at (0,0){$F_Y$};
\node[draw,shape=rectangle] (sy) at (-1,0){$D_Y$};
\node[draw,... | https://arxiv.org/abs/1711.06378 | arxiv | 2017-11-22T02:03:53 | |
Production of production unit of the i-th and j-th protein with the common pools of free RNA-polymerases and ribosomes. | \documentclass[american]{article}
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\usepackage{amssymb}
\usepackage{amsmath}
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\usetikzlibrary{positioning,calc,arrows}
\begin{document}
\begin{tikzpicture}
\linespread{1}
\matrix [column sep=20mm, row sep=10mm,ampersand replacement=\&] {
\&
\node[gray] (fy) [draw, shape=re... | https://arxiv.org/abs/1711.06378 | arxiv | 2017-11-22T02:03:53 | |
The high-weight flow network R_n(I_0). | \documentclass{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage[dvipsnames]{color}
\usepackage{tikz}
\usetikzlibrary{positioning}
\usetikzlibrary{decorations.pathmorphing}
\tikzset{
simpleNodes/.style={
circle,
inner sep=0pt,
text width=5mm,
text height=3mm,
align=center,
draw=black,
fill=bl... | https://arxiv.org/abs/1905.06626 | arxiv | 2019-05-17T02:12:38 | |
Architecture of the | \documentclass[preprint,5p,times,twocolumn]{elsarticle}
\usepackage{amsmath,amsthm,bm}
\usepackage{amssymb}
\usepackage{color}
\usepackage{color}
\usepackage{tikz}
\usepackage{pgflibraryshapes}
\begin{document}
\begin{tikzpicture}[scale=0.8, transform shape]
\footnotesize
\begin{scope}[shape=rectangle,round... | https://arxiv.org/abs/1905.06654 | arxiv | 2019-05-17T02:14:30 | |
Let distribution P_ be supported by the segment \{(,t)~t0,1\} in ^2. According to both the TV distance eq:totalvariation and the -divergences eq:fdivergence, the sequence of distributions (P_1/i) does not converge to P_0. However this sequence converges to P_0 according to either the Wasserstein distances eq:wasserstei... | \documentclass[envcountsect,envcountsame,runningheads]{llncs}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amsmath,amsfonts,amssymb}
\usepackage{xcolor}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[scale=0.8]
% axis
\draw[->] (0,0) -- (8,0) node[anchor=north, inner sep=5pt] {$\th... | https://arxiv.org/abs/1712.07822 | arxiv | 2017-12-22T02:04:34 | |
The construction of ^6 in the proof of Proposition~th:almostconvexbound. | \documentclass[envcountsect,envcountsame,runningheads]{llncs}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amsmath,amsfonts,amssymb}
\usepackage{xcolor}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[thick,>=latex]
\node [circle,draw,minimum width=1.5cm,thin] (x) at (1,3.5) {$x\sim P_0... | https://arxiv.org/abs/1712.07822 | arxiv | 2017-12-22T02:04:34 | |
Illustration of Pareto dominance and incomparability quarters minimizing two objectives indexed by x and y: zones of A and D are incomparability zones related to O | \documentclass[10pt]{article}
\usepackage{amsmath,amssymb}
\usepackage{tikz,tkz-tab}
\begin{document}
\begin{tikzpicture}[scale=4]
\draw[->] (-1,0) -- (1.1,0) node[right] {$x$};
\draw[->] (0,-0.55) -- (0,0.7) node[above] {$y$};
\draw (0.3,0) node[above] {$O=(x_O,y_O)$};
\draw (0,0) node[color=black%bl... | https://arxiv.org/abs/1806.02098 | arxiv | 2018-06-07T02:11:35 | |
Illustration of a 2-dimensional Pareto front with 15 points and the indexation implied by Proposition reord | \documentclass[10pt]{article}
\usepackage{amsmath,amssymb}
\usepackage{tikz,tkz-tab}
\begin{document}
\begin{tikzpicture}[scale=0.5]
\draw[->] (0,0) -- (20,0) node[right] {$\emph{Obj}_1$};
\draw[->] (0,0) -- (0,10.6) node[above] {$\emph{Obj}_2$};
\draw (1.2,9.7) node[above] {$x_1$};
\draw (1,9.7) node... | https://arxiv.org/abs/1806.02098 | arxiv | 2018-06-07T02:11:35 | |
SWAP gate. | \documentclass[amsmath,amssymb,aps,superscriptaddress,notitlepage,nofootinbib,pra,twocolumn]{revtex4-1}
\usepackage{tikz}
\usepackage{pgfplots}
\usepackage{tcolorbox}
\usepackage[utf8]{inputenc}
\usepackage[colorlinks=true]{hyperref}
\usepackage{amsfonts,amsmath,amssymb,amssymb,amsthm}
\usepackage{xcolor}
\usepackage{p... | https://arxiv.org/abs/1909.12759 | arxiv | 2019-10-01T02:30:54 | |
It is impossible to insert a circular arc that touches both u and v. This illustrates a topological Henneberg move that cannot be represented by contacts of circular arcs given this representation of the initial graph. | \documentclass[11pt]{amsart}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{pgf,tikz}
\usetikzlibrary{arrows}
\usetikzlibrary{patterns}
\usetikzlibrary{intersections}
\usetikzlibrary{calc}
\usetikzlibrary{decorations.markings}
\tikzset{
vertex/.style = {inner sep = 0mm,circle,draw,minimum size=5pt... | https://arxiv.org/abs/1909.06545 | arxiv | 2019-10-08T02:22:51 | |
A CCA representation of a quadrilateral splitting move. The contact graph of the configuration on the left is a quadrilateral contraction of the contact graph of the configuration on the right. | \documentclass[11pt]{amsart}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{pgf,tikz}
\usetikzlibrary{arrows}
\usetikzlibrary{patterns}
\usetikzlibrary{intersections}
\usetikzlibrary{calc}
\usetikzlibrary{decorations.markings}
\tikzset{
vertex/.style = {inner sep = 0mm,circle,draw,minimum size=5pt... | https://arxiv.org/abs/1909.06545 | arxiv | 2019-10-08T02:22:51 | |
The construction of the contact graph associated to a collection of curves. On the left we have a collection of curves. The bold section of represents (J_) . On the right is the corresponding graph with edge orientations as indicated. | \documentclass[11pt]{amsart}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{pgf,tikz}
\usetikzlibrary{arrows}
\usetikzlibrary{patterns}
\usetikzlibrary{intersections}
\usetikzlibrary{calc}
\usetikzlibrary{decorations.markings}
\tikzset{
vertex/.style = {inner sep = 0mm,circle,draw,minimum size=5pt... | https://arxiv.org/abs/1909.06545 | arxiv | 2019-10-08T02:22:51 | |
A CCA representation of a topological Henneberg move. The bold arc on the right represents the new vertex, that touches two of the initial arcs. | \documentclass[11pt]{amsart}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{pgf,tikz}
\usetikzlibrary{arrows}
\usetikzlibrary{patterns}
\usetikzlibrary{intersections}
\usetikzlibrary{calc}
\usetikzlibrary{decorations.markings}
\tikzset{
vertex/.style = {inner sep = 0mm,circle,draw,minimum size=5pt... | https://arxiv.org/abs/1909.06545 | arxiv | 2019-10-08T02:22:51 | |
A WA in its graphical form and its equivalent linear representation. | \documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{arrows, automata}
\begin{document}
\begin{tikzpicture}[->,>=stealth',shorten >=3pt,auto,node distance=2.2cm,semithick]
\tikzstyle{every state}=[fill=none,draw=blac... | https://arxiv.org/abs/1810.05741 | arxiv | 2018-10-16T02:03:43 | |
A simple UDPN _1 | \documentclass[runningheads]{llncs}
\usepackage[utf8]{inputenc}
\usepackage{amssymb}
\usepackage[utf8]{inputenc}
\usepackage{tikz}
\usetikzlibrary{arrows,shapes,automata,backgrounds,petri}
\usetikzlibrary{positioning,chains,fit,shapes,calc}
\begin{document}
\begin{tikzpicture}[node distance=1.3cm,>=stealth',bend angl... | https://arxiv.org/abs/1902.05604 | arxiv | 2019-02-18T02:02:22 | |
N | \documentclass[runningheads]{llncs}
\usepackage[utf8]{inputenc}
\usepackage{amssymb}
\usepackage[utf8]{inputenc}
\usepackage{tikz}
\usetikzlibrary{arrows,shapes,automata,backgrounds,petri}
\usetikzlibrary{positioning,chains,fit,shapes,calc}
\begin{document}
\begin{tikzpicture}[node distance=1.3cm,>=stealth',bend angl... | https://arxiv.org/abs/1902.05604 | arxiv | 2019-02-18T02:02:22 | |
a UDPN N(left) and its transformed net N'(right) | \documentclass[runningheads]{llncs}
\usepackage[utf8]{inputenc}
\usepackage{amssymb}
\usepackage[utf8]{inputenc}
\usepackage{tikz}
\usetikzlibrary{arrows,shapes,automata,backgrounds,petri}
\usetikzlibrary{positioning,chains,fit,shapes,calc}
\begin{document}
\begin{tikzpicture}[node distance=1.3cm,>=stealth',bend angl... | https://arxiv.org/abs/1902.05604 | arxiv | 2019-02-18T02:02:22 | |
An example phylogenetic tree. Letters x,y,z,w represent the unobserved internal node states where w is associated with the root node, t_0 defines the root branch length, and (t_0, t_1, t_2,..., t_6) denotes the entire vector of branch lengths. Given this tree topology and set of branch lengths, we can calculate the lik... | \documentclass[a4paper]{article}
\usepackage[utf8x]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage[colorinlistoftodos]{todonotes}
\usepackage[colorlinks=true, allcolors=blue]{hyperref}
\usepackage{tikz}
\usetikzlibrary{positioning}
\usetikzlibrary{shapes}
\usetikzlibrary{fit}
\... | https://arxiv.org/abs/1906.11982 | arxiv | 2019-07-01T02:04:41 | |
The phylo-HMM graphical model diagram for an example alignment with m=3 sequences and n=3 sites. The , t, , and e nodes represent the 4-tip unrooted tree topology, the associated 5 branch lengths, the GTR exchangeability rates, and GTR equilibrium base frequencies, respectively. The parameter denotes the gamma shape pa... | \documentclass[a4paper]{article}
\usepackage[utf8x]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage[colorinlistoftodos]{todonotes}
\usepackage[colorlinks=true, allcolors=blue]{hyperref}
\usepackage{tikz}
\usetikzlibrary{positioning}
\usetikzlibrary{shapes}
\usetikzlibrary{fit}
\... | https://arxiv.org/abs/1906.11982 | arxiv | 2019-07-01T02:04:41 | |
A direct sum of quivers. | \documentclass[11pt]{amsart}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{pgf,tikz}
\usetikzlibrary{arrows}
\usetikzlibrary{decorations.pathmorphing}
\begin{document}
\begin{tikzpicture}
\node (1) at (0,0.5) {$1$};
\node (2) at (1,-0.5) {$2$};
\node (3) at (-1,-0.5) {$3$};
\draw[-{latex}] (1) to (2);
\draw[-... | https://arxiv.org/abs/1807.03359 | arxiv | 2018-07-11T02:01:50 | |
An example for an infinite strong digraph D where the underlying undirected graph is 2 -vertex-connected and D is scattered. | \documentclass[10pt,a4paper]{article}
\usepackage{amsmath}
\usepackage[utf8]{inputenc}
\usepackage{amssymb}
\usepackage[colorlinks=true,urlcolor=blue, linkcolor=blue,pageanchor=false, backref]{hyperref}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usepackage{xcolor}
\begin{document}
\begin{tikzpicture}
\node [draw,... | https://arxiv.org/abs/1909.00873 | arxiv | 2019-09-04T02:31:28 | |
Quiver for torus with one boundary component and one marked point. A maximal green sequence for this quiver is (1,3,4,2,1,3). | \documentclass[11pt]{amsart}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{pgf,tikz}
\usetikzlibrary{arrows}
\usetikzlibrary{decorations.pathmorphing}
\begin{document}
\begin{tikzpicture}
\node (1) at (0,0) {$1$};
\node (2) at (2,0) {$2$};
\node (3) at (1,0.75) {$3$};
\node (4) at (1,2) {$4$};
\draw[-{latex}]... | https://arxiv.org/abs/1807.03359 | arxiv | 2018-07-11T02:01:50 | |
The Erdős-Menger cut T and the vertex set W . | \documentclass[10pt,a4paper]{article}
\usepackage{amsmath}
\usepackage[utf8]{inputenc}
\usepackage{amssymb}
\usepackage[colorlinks=true,urlcolor=blue, linkcolor=blue,pageanchor=false, backref]{hyperref}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usepackage{xcolor}
\begin{document}
\begin{tikzpicture}
\draw (-1.8,0... | https://arxiv.org/abs/1909.00873 | arxiv | 2019-09-04T02:31:28 | |
Reversing path P without reversing anything else. | \documentclass[10pt,a4paper]{article}
\usepackage{amsmath}
\usepackage[utf8]{inputenc}
\usepackage{amssymb}
\usepackage[colorlinks=true,urlcolor=blue, linkcolor=blue,pageanchor=false, backref]{hyperref}
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\usetikzlibrary{arrows}
\usepackage{xcolor}
\begin{document}
\begin{tikzpicture}[scale=1.3]
\nod... | https://arxiv.org/abs/1909.00873 | arxiv | 2019-09-04T02:31:28 | |
Branches of the Banff algorithm leading to success. | \documentclass[11pt]{amsart}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{pgf,tikz}
\usetikzlibrary{arrows}
\usetikzlibrary{decorations.pathmorphing}
\begin{document}
\begin{tikzpicture}
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\node (2) at (1,-1) {$2$};
\node (3) at (-1,-1) {$3$};
\node (4) at (0,-0.25) {$4$};
\draw[-{la... | https://arxiv.org/abs/1807.03359 | arxiv | 2018-07-11T02:01:50 | |
Replacing the dashed part of cycle C_0 . | \documentclass[10pt,a4paper]{article}
\usepackage{amsmath}
\usepackage[utf8]{inputenc}
\usepackage{amssymb}
\usepackage[colorlinks=true,urlcolor=blue, linkcolor=blue,pageanchor=false, backref]{hyperref}
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\usepackage{xcolor}
\begin{document}
\begin{tikzpicture}[scale=1.3]
\dr... | https://arxiv.org/abs/1909.00873 | arxiv | 2019-09-04T02:31:28 | |
Function space tree of the Taylor--Hood space (P_2 P_2 P_2) P_1 | \documentclass[a4paper,10pt,headings=normal,bibliography=totoc]{scrartcl}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage[colorinlistoftodos]{todonotes}
\usepackage{tikz}
\usetikzlibrary{arrows}
\tikzset{
treenode/.style = {
align=center,
inner sep=0pt,
text... | https://arxiv.org/abs/1806.09545 | arxiv | 2018-06-26T02:18:57 | |
Function space basis tree of the Taylor--Hood space (P_2 P_2 P_2) P_1 | \documentclass[a4paper,10pt,headings=normal,bibliography=totoc]{scrartcl}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage[colorinlistoftodos]{todonotes}
\usepackage{tikz}
\usetikzlibrary{arrows}
\tikzset{
treenode/.style = {
align=center,
inner sep=0pt,
text... | https://arxiv.org/abs/1806.09545 | arxiv | 2018-06-26T02:18:57 | |
Tree of basis vectors for the Taylor--Hood basis | \documentclass[a4paper,10pt,headings=normal,bibliography=totoc]{scrartcl}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage[colorinlistoftodos]{todonotes}
\usepackage{tikz}
\usetikzlibrary{arrows}
\tikzset{
treenode/.style = {
align=center,
inner sep=0pt,
text... | https://arxiv.org/abs/1806.09545 | arxiv | 2018-06-26T02:18:57 | |
Automaton~A recognizing esthetic numbers. | \documentclass[a4paper, reqno]{amsart}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{tikz-cd}
\usetikzlibrary{backgrounds,scopes}
\usetikzlibrary{automata}
\begin{document}
\begin{tikzpicture}[auto,
initial text=, initial distance=5ex,
>=latex,
accepting text=,
every state/.style={m... | https://arxiv.org/abs/1810.13178 | arxiv | 2018-11-01T01:08:42 | |
Index tree for the Taylor--Hood basis inherited from the basis tree | \documentclass[a4paper,10pt,headings=normal,bibliography=totoc]{scrartcl}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage[colorinlistoftodos]{todonotes}
\usepackage{tikz}
\usetikzlibrary{arrows}
\tikzset{
treenode/.style = {
align=center,
inner sep=0pt,
text... | https://arxiv.org/abs/1806.09545 | arxiv | 2018-06-26T02:18:57 | |
Index tree for Taylor--Hood with blocking of velocity components | \documentclass[a4paper,10pt,headings=normal,bibliography=totoc]{scrartcl}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage[colorinlistoftodos]{todonotes}
\usepackage{tikz}
\usetikzlibrary{arrows}
\tikzset{
treenode/.style = {
align=center,
inner sep=0pt,
text... | https://arxiv.org/abs/1806.09545 | arxiv | 2018-06-26T02:18:57 | |
Two matrix occupation patterns for different indexings of the Taylor--Hood bases. Left: Corresponding to the index tree of Figure~fig:taylor_hood_index_tree. Right: Corresponding to the index tree of Figure~fig:taylor_hood_index_blocked_tree. | \documentclass[a4paper,10pt,headings=normal,bibliography=totoc]{scrartcl}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
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\usetikzlibrary{arrows}
\tikzset{
treenode/.style = {
align=center,
inner sep=0pt,
text... | https://arxiv.org/abs/1806.09545 | arxiv | 2018-06-26T02:18:57 | |
Diagram of a 16-byte block. Our stage 2 instructions are located in the first two bytes, while the next two contain a NOP like instruction followed by a jump to the next block. The last 10 bytes are unused. | \documentclass[11pt,final]{article}
\usepackage{amsmath}
\usepackage[svgnames]{xcolor}
\usepackage{tikz}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\begin{document}
\begin{tikzpicture}
\draw (0,0) rectangle (2, -1);
\draw (2,0) rectangle (4, -1);
\draw (4,0) rectangle (6, -1);
\draw (6,0) rectangle (8, ... | https://arxiv.org/abs/1908.03819 | arxiv | 2019-08-13T02:10:07 | |
The structure of a stair-svee permutation. | \documentclass[11pt,a4paper]{amsart}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage[latin2]{inputenc}
\usepackage{tikz}
\usetikzlibrary{fadings}
\begin{document}
\begin{tikzpicture}[scale=.3]
\draw[gray] (0,0) rectangle (4,4);
\draw [thick] (2.7, 1.3)--(0.3, 2.5)--(2.7, 3.7);
\draw[fill] (3.5, 0.5) circle [rad... | https://arxiv.org/abs/1908.04025 | arxiv | 2019-08-13T02:17:35 | |
The S-Motzkin path EUEUDEDUEUDD of length 12. | \documentclass[11pt,a4paper]{amsart}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage[latin2]{inputenc}
\usepackage{tikz}
\usetikzlibrary{fadings}
\begin{document}
\begin{tikzpicture}[scale=.6]
\draw[help lines] (0,0) grid (12,2);
\draw [ultra thick][teal] (0,0) -- (1,0)--(2,1)--(3,1)--(4,2)--(5,1)--(6,1)--(7,0)... | https://arxiv.org/abs/1908.04025 | arxiv | 2019-08-13T02:17:35 | |
The decomposition of the modsvee permutation 643527819 into a nice modsvee uniquely sorted permutation (in green) and a svee uniquely sorted permutation (in purple). | \documentclass[11pt,a4paper]{amsart}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage[latin2]{inputenc}
\usepackage{tikz}
\usetikzlibrary{fadings}
\begin{document}
\begin{tikzpicture}[scale=.5]
\draw[fill][red] (1,6) circle [radius=0.2];
\draw[fill][blue] (2,4) circle [radius=0.2];
\draw[fill][blue] (3,3) circle... | https://arxiv.org/abs/1908.04025 | arxiv | 2019-08-13T02:17:35 | |
The modvee permutation 853241679, which is the inverse of the permutation in Figure m. | \documentclass[11pt,a4paper]{amsart}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage[latin2]{inputenc}
\usepackage{tikz}
\usetikzlibrary{fadings}
\begin{document}
\begin{tikzpicture}[scale=.5]
\draw[fill][blue] (1,8) circle [radius=0.2];
\draw[fill][blue] (2,5) circle [radius=0.2];
\draw[fill][blue] (3,3) circl... | https://arxiv.org/abs/1908.04025 | arxiv | 2019-08-13T02:17:35 | |
The Dyck path UDUUUDDUDD of semilength 5. | \documentclass[11pt,a4paper]{amsart}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage[latin2]{inputenc}
\usepackage{tikz}
\usetikzlibrary{fadings}
\begin{document}
\begin{tikzpicture}[scale=.6]
\draw[help lines] (0,0) grid (10,3);
\draw [ultra thick][teal] (0,0) -- (1,1) -- (2,0) -- (5,3)--(7,1)--(8,2)--(10,0);
... | https://arxiv.org/abs/1908.04025 | arxiv | 2019-08-13T02:17:35 | |
The structure of a stair-layered permutation. | \documentclass[11pt,a4paper]{amsart}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage[latin2]{inputenc}
\usepackage{tikz}
\usetikzlibrary{fadings}
\begin{document}
\begin{tikzpicture}[scale=.3]
\draw[gray] (0,0) rectangle (4,4);
\draw[gray] (0,1) rectangle (3,4);
\draw[gray] (0,1) rectangle (1,2);
\draw[gray] (1... | https://arxiv.org/abs/1908.04025 | arxiv | 2019-08-13T02:17:35 | |
The Schr\"oder path UHUUUDDUHDDD of semilength 7. | \documentclass[11pt,a4paper]{amsart}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage[latin2]{inputenc}
\usepackage{tikz}
\usetikzlibrary{fadings}
\begin{document}
\begin{tikzpicture}[scale=.5]
\draw[help lines] (0,0) grid (14,4);
\draw [ultra thick][teal] (0,0)--(1,1)--(3,1)--(6,4)--(8,2)--(9,3)--(11,3)--(14,0)... | https://arxiv.org/abs/1908.04025 | arxiv | 2019-08-13T02:17:35 | |
The modsvee permutation 643527819. The dashed boxes illustrate which pieces of the permutation are decomposed after each step in the decomposition process. | \documentclass[11pt,a4paper]{amsart}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage[latin2]{inputenc}
\usepackage{tikz}
\usetikzlibrary{fadings}
\begin{document}
\begin{tikzpicture}[scale=.5]
\draw[fill][red] (1,6) circle [radius=0.2];
\draw[fill][blue] (2,4) circle [radius=0.2];
\draw[fill][blue] (3,3) circle... | https://arxiv.org/abs/1908.04025 | arxiv | 2019-08-13T02:17:35 | |
The CHC of 2\,7\,3\,5\,9\,4\,8\,1\,6\,10\,11\,12. | \documentclass[11pt,a4paper]{amsart}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage[latin2]{inputenc}
\usepackage{tikz}
\usetikzlibrary{fadings}
\begin{document}
\begin{tikzpicture}[scale=.4]
\draw[fill] (1,2) circle [radius=0.2];
\draw[fill] (2,7) circle [radius=0.2];
\draw[fill] (3,3) circle [radius=0.2];
\d... | https://arxiv.org/abs/1908.04025 | arxiv | 2019-08-13T02:17:35 | |
A digraph with parking function s=(1,1,3,2,1). | \documentclass[12pt]{amsart}
\usepackage{amsmath,amsthm,amssymb}
\usepackage{tikz, calc, forest}
\usetikzlibrary{arrows.meta,shapes}
\begin{document}
\begin{tikzpicture}
\node[circle,draw,inner sep=3pt] (a) at (0,0) {$1$};
\node[circle,draw,inner sep=3pt] (d) at (-1.5,1.5) {$2$};
\node[circle,draw,inner sep=3pt] (e) ... | https://arxiv.org/abs/1905.12010 | arxiv | 2019-05-30T02:00:42 | |
A tree for which P(T,2) > P(T,2). | \documentclass[12pt]{amsart}
\usepackage{amsmath,amsthm,amssymb}
\usepackage{tikz, calc, forest}
\usetikzlibrary{arrows.meta,shapes}
\begin{document}
\begin{tikzpicture}
\node[circle,draw,inner sep=1pt] (a) at (0,0) {$4$};
\node[circle,draw,inner sep=1pt] (b) at (0,-1) {$3$};
\node[circle,draw,inner sep=1pt] (c) at (... | https://arxiv.org/abs/1905.12010 | arxiv | 2019-05-30T02:00:42 | |
Constructing a parking function on T from one on T. = (15)(23)(46) | \documentclass[12pt]{amsart}
\usepackage{amsmath,amsthm,amssymb}
\usepackage{tikz, calc, forest}
\usetikzlibrary{arrows.meta,shapes}
\begin{document}
\begin{tikzpicture}
\node[circle,draw,inner sep=1pt] (a) at (0,0) {$6$};
\node[circle,draw,inner sep=1pt] (b) at (0,-0.8) {$5$};
\node[circle,draw,inner sep=1pt] (c) at... | https://arxiv.org/abs/1905.12010 | arxiv | 2019-05-30T02:00:42 | |
A source tree and inverse mapping digraph with a common parking function. | \documentclass[12pt]{amsart}
\usepackage{amsmath,amsthm,amssymb}
\usepackage{tikz, calc, forest}
\usetikzlibrary{arrows.meta,shapes}
\begin{document}
\begin{tikzpicture}
\node[circle,draw,inner sep=1pt] (a) at (-1,0) {$3$};
\node[circle,draw,inner sep=1pt] (b) at (-1.8,-0.8) {$6$};
\node[circle,draw,inner sep=1pt] (c... | https://arxiv.org/abs/1905.12010 | arxiv | 2019-05-30T02:00:42 | |
Identifying a deletable edge e by contracting (3,2). | \documentclass[12pt]{amsart}
\usepackage{amsmath,amsthm,amssymb}
\usepackage{tikz, calc, forest}
\usetikzlibrary{arrows.meta,shapes}
\begin{document}
\begin{tikzpicture}
\node[circle,draw,inner sep=3pt] (a) at (0,1.5) {$4$};
\node[circle,draw,inner sep=3pt] (b) at (1.5,0) {$3$};
\node[circle,draw,inner sep=3pt] (c) a... | https://arxiv.org/abs/1905.12010 | arxiv | 2019-05-30T02:00:42 | |
Conceptual representation of resource usage data as a 3-way tensor consisting of compute nodes, usage metrics and time dimensions as lateral slices. Each dimension is referred to as a mode of the tensor. | \documentclass[conference]{IEEEtran}
\usepackage{color,colortbl}
\usepackage{tikz}
\usepackage{pgfplots}
\pgfplotsset{compat=1.14}
\usepackage{tikz,pgfplots,pgfplotstable}
\begin{document}
\begin{tikzpicture}[thick, scale=0.8]
\pgfmathsetmacro{\cubex}{0.1}
\pgfmathsetmacro{\cubey}{2}
\pgfmathsetmacro{\cubez}{4}... | https://arxiv.org/abs/1705.10756 | arxiv | 2017-05-31T02:09:47 |
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