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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The power savings of the full mesh topology under different network sizes | \documentclass[journal]{IEEEtran}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{patterns}
\usetikzlibrary{arrows}
\usetikzlibrary{shapes,snakes}
\usetikzlibrary{backgrounds,fit,decorations.pathreplacing}
\usepackage{pgfplots}
\pgfplotsset{grid style={dashed, gray}}
\usetikzlibrary{shapes,arrows,patterns}
\beg... | https://arxiv.org/abs/1804.02916 | arxiv | 2018-04-10T02:16:22 | |
The power savings of the ring topology under different network sizes | \documentclass[journal]{IEEEtran}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{patterns}
\usetikzlibrary{arrows}
\usetikzlibrary{shapes,snakes}
\usetikzlibrary{backgrounds,fit,decorations.pathreplacing}
\usepackage{pgfplots}
\pgfplotsset{grid style={dashed, gray}}
\usetikzlibrary{shapes,arrows,patterns}
\beg... | https://arxiv.org/abs/1804.02916 | arxiv | 2018-04-10T02:16:22 | |
A partial coloring, constructed in Claim~clm2. | \documentclass[11pt]{article}
\usepackage{amsmath, amsthm, amssymb}
\usepackage{tikz}
\usepackage{tkz-graph}
\usepackage{color}
\begin{document}
\begin{tikzpicture}[scale = 9]
\tikzstyle{VertexStyle} = []
\tikzstyle{EdgeStyle} = [line width=0.8pt]
\tikzstyle{labelingStyle}=[shape = circle, minimum size = 4pt, inner s... | https://arxiv.org/abs/1707.05439 | arxiv | 2017-07-19T02:03:14 | |
A partial coloring, constructed in Claim~clm3. | \documentclass[11pt]{article}
\usepackage{amsmath, amsthm, amssymb}
\usepackage{tikz}
\usepackage{tkz-graph}
\usepackage{color}
\begin{document}
\begin{tikzpicture}[scale = 9]
\tikzstyle{VertexStyle} = []
\tikzstyle{EdgeStyle} = [line width=.8pt]
\tikzstyle{labelingStyle}=[shape = circle, minimum size = 4pt, inner se... | https://arxiv.org/abs/1707.05439 | arxiv | 2017-07-19T02:03:14 | |
Proper distinguishing 4-colorings of the Petersen graph and Heawood graph. | \documentclass[11pt]{article}
\usepackage{amsmath, amsthm, amssymb}
\usepackage{tikz}
\usepackage{tkz-graph}
\usepackage{color}
\begin{document}
\begin{tikzpicture}[line width=0.8pt]
\tikzstyle{blavert}=[circle, draw, fill=white, inner sep=0pt, minimum width=12pt]
\begin{scope}[thick, scale=2, rotate = -30, xscale=-... | https://arxiv.org/abs/1707.05439 | arxiv | 2017-07-19T02:03:14 | |
Architecture of the autoencoding function c(s). We write conv^k=a_s=b to denote a 1D convolutional layer with kernel size a and stride b. See text for more details. | \documentclass{article}
\usepackage[colorlinks=true, linkcolor=black, citecolor=black, filecolor=black, urlcolor=black]{hyperref}
\usepackage{amsmath}
\usepackage{xcolor}
\usepackage{tikz}
\usepackage[utf8]{inputenc}
\begin{document}
\begin{tikzpicture}[yscale=2.0,xscale=2.0] \small
\node at (1.0, 2.15) {Single step... | https://arxiv.org/abs/1801.09797 | arxiv | 2018-01-31T02:03:28 | |
Graphical Illustration of Example 1 | \documentclass[11pt]{article}
\usepackage{amsmath,amssymb,amsfonts,amsthm}
\usepackage{color}
\usepackage[pdftex,dvipsnames]{xcolor}
\usepackage[colorinlistoftodos,prependcaption,textsize=tiny]{todonotes}
\usepackage{tikz}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}[
scale=4,
axis/.st... | https://arxiv.org/abs/1811.08083 | arxiv | 2018-11-21T02:07:20 | |
Comparison of a standard language model and our autoencoder-augmented model. The architecture for c(s) is presented in Figure~fig:ae and the arrows from s_i to s_<i depict dependence. | \documentclass{article}
\usepackage[colorlinks=true, linkcolor=black, citecolor=black, filecolor=black, urlcolor=black]{hyperref}
\usepackage{amsmath}
\usepackage{xcolor}
\usepackage{tikz}
\usepackage[utf8]{inputenc}
\begin{document}
\begin{tikzpicture}[yscale=2.0,xscale=2.0] \small
\node at (1.0, -0.6) {Standard la... | https://arxiv.org/abs/1801.09797 | arxiv | 2018-01-31T02:03:28 | |
Diagram of the setup in ssec:guide(except Trained MLP, which learns weight parameters). | \documentclass[11pt,a4paper]{article}
\usepackage{fontenc}
\usepackage[utf8x]{inputenc}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{color}
\usepackage{tcolorbox}
\usepackage{tikz}
\usetikzlibrary{
decorations.pathreplacing,
calligraphy,
shapes,
shapes.geometric,
shapes.symbols,
shapes.... | https://arxiv.org/abs/1908.04626 | arxiv | 2019-09-06T02:17:20 | |
The Hasse diagram of the non-crossing partition lattice NCP_4 is shown in black. The gray partition is the only crossing partition in P_4. | \documentclass[a4paper, bibliography=totoc, twoside]{scrreprt}
\usepackage[utf8]{inputenc}
\usepackage{amsmath, amssymb, amsthm, amsfonts, mathtools, nicefrac}
\usepackage{xcolor}
\usepackage{tikz}
\usetikzlibrary{matrix,arrows}
\usetikzlibrary{intersections}
\usetikzlibrary{decorations.pathmorphing,decorations.pathrep... | https://arxiv.org/abs/1903.06426 | arxiv | 2019-03-18T01:14:24 | |
The Hasse diagram of NCB_3. | \documentclass[a4paper, bibliography=totoc, twoside]{scrreprt}
\usepackage[utf8]{inputenc}
\usepackage{amsmath, amssymb, amsthm, amsfonts, mathtools, nicefrac}
\usepackage{xcolor}
\usepackage{tikz}
\usetikzlibrary{matrix,arrows}
\usetikzlibrary{intersections}
\usetikzlibrary{decorations.pathmorphing,decorations.pathrep... | https://arxiv.org/abs/1903.06426 | arxiv | 2019-03-18T01:14:24 | |
A pictorial representation of a partition is shown on the left and its corresponding set of edges on the right. | \documentclass[a4paper, bibliography=totoc, twoside]{scrreprt}
\usepackage[utf8]{inputenc}
\usepackage{amsmath, amssymb, amsthm, amsfonts, mathtools, nicefrac}
\usepackage{xcolor}
\usepackage{tikz}
\usetikzlibrary{matrix,arrows}
\usetikzlibrary{intersections}
\usetikzlibrary{decorations.pathmorphing,decorations.pathrep... | https://arxiv.org/abs/1903.06426 | arxiv | 2019-03-18T01:14:24 | |
A spherical building of type A_2. | \documentclass[a4paper, bibliography=totoc, twoside]{scrreprt}
\usepackage[utf8]{inputenc}
\usepackage{amsmath, amssymb, amsthm, amsfonts, mathtools, nicefrac}
\usepackage{xcolor}
\usepackage{tikz}
\usetikzlibrary{matrix,arrows}
\usetikzlibrary{intersections}
\usetikzlibrary{decorations.pathmorphing,decorations.pathrep... | https://arxiv.org/abs/1903.06426 | arxiv | 2019-03-18T01:14:24 | |
The non-crossing tree correpsonding to the reduced decompositions _1=(1\,\;2)(3\,\;5)(2\,\;5)(3\,\;4) and _2=(3\,\;5)(1\,\;2)(2\,\;5)(3\,\;4). The induced labeling of _1 is depicted on the left-hand side and that of _2 on the right-hand side. | \documentclass[a4paper, bibliography=totoc, twoside]{scrreprt}
\usepackage[utf8]{inputenc}
\usepackage{amsmath, amssymb, amsthm, amsfonts, mathtools, nicefrac}
\usepackage{xcolor}
\usepackage{tikz}
\usetikzlibrary{matrix,arrows}
\usetikzlibrary{intersections}
\usetikzlibrary{decorations.pathmorphing,decorations.pathrep... | https://arxiv.org/abs/1903.06426 | arxiv | 2019-03-18T01:14:24 | |
The vertices of the four universal chambers on |NCP_5| containing the edge (2,3) are depicted here. | \documentclass[a4paper, bibliography=totoc, twoside]{scrreprt}
\usepackage[utf8]{inputenc}
\usepackage{amsmath, amssymb, amsthm, amsfonts, mathtools, nicefrac}
\usepackage{xcolor}
\usepackage{tikz}
\usetikzlibrary{matrix,arrows}
\usetikzlibrary{intersections}
\usetikzlibrary{decorations.pathmorphing,decorations.pathrep... | https://arxiv.org/abs/1903.06426 | arxiv | 2019-03-18T01:14:24 | |
The left-hand side depicts the non-crossing partition 1,2,3,5,4,6,8,7 and the right-hand side shows the crossing partition 1,2,3,5,4,7,6,8. | \documentclass[a4paper, bibliography=totoc, twoside]{scrreprt}
\usepackage[utf8]{inputenc}
\usepackage{amsmath, amssymb, amsthm, amsfonts, mathtools, nicefrac}
\usepackage{xcolor}
\usepackage{tikz}
\usetikzlibrary{matrix,arrows}
\usetikzlibrary{intersections}
\usetikzlibrary{decorations.pathmorphing,decorations.pathrep... | https://arxiv.org/abs/1903.06426 | arxiv | 2019-03-18T01:14:24 | |
The Coxeter diagram of type D_n with corresponding standard simple reflections s_1, , s_n. | \documentclass[a4paper, bibliography=totoc, twoside]{scrreprt}
\usepackage[utf8]{inputenc}
\usepackage{amsmath, amssymb, amsthm, amsfonts, mathtools, nicefrac}
\usepackage{xcolor}
\usepackage{tikz}
\usetikzlibrary{matrix,arrows}
\usetikzlibrary{intersections}
\usetikzlibrary{decorations.pathmorphing,decorations.pathrep... | https://arxiv.org/abs/1903.06426 | arxiv | 2019-03-18T01:14:24 | |
The Coxeter diagram of type B_n with corresponding standard simple reflections s_1, , s_n. | \documentclass[a4paper, bibliography=totoc, twoside]{scrreprt}
\usepackage[utf8]{inputenc}
\usepackage{amsmath, amssymb, amsthm, amsfonts, mathtools, nicefrac}
\usepackage{xcolor}
\usepackage{tikz}
\usetikzlibrary{matrix,arrows}
\usetikzlibrary{intersections}
\usetikzlibrary{decorations.pathmorphing,decorations.pathrep... | https://arxiv.org/abs/1903.06426 | arxiv | 2019-03-18T01:14:24 | |
The pictorial representation of the non-crossing B_5-partition corresponding to the signed permutation [2\,\;5](\!( 3\,\;4 )\!) is depicted here. | \documentclass[a4paper, bibliography=totoc, twoside]{scrreprt}
\usepackage[utf8]{inputenc}
\usepackage{amsmath, amssymb, amsthm, amsfonts, mathtools, nicefrac}
\usepackage{xcolor}
\usepackage{tikz}
\usetikzlibrary{matrix,arrows}
\usetikzlibrary{intersections}
\usetikzlibrary{decorations.pathmorphing,decorations.pathrep... | https://arxiv.org/abs/1903.06426 | arxiv | 2019-03-18T01:14:24 | |
The Coxeter diagram of type A_n-1 with corresponding standard simple reflections s_1, , s_n-1. | \documentclass[a4paper, bibliography=totoc, twoside]{scrreprt}
\usepackage[utf8]{inputenc}
\usepackage{amsmath, amssymb, amsthm, amsfonts, mathtools, nicefrac}
\usepackage{xcolor}
\usepackage{tikz}
\usetikzlibrary{matrix,arrows}
\usetikzlibrary{intersections}
\usetikzlibrary{decorations.pathmorphing,decorations.pathrep... | https://arxiv.org/abs/1903.06426 | arxiv | 2019-03-18T01:14:24 | |
The respective pictorial representations of the two set partitions _1 and _2 from exa:crossing_and_not as D_4- and B_4-partitions. | \documentclass[a4paper, bibliography=totoc, twoside]{scrreprt}
\usepackage[utf8]{inputenc}
\usepackage{amsmath, amssymb, amsthm, amsfonts, mathtools, nicefrac}
\usepackage{xcolor}
\usepackage{tikz}
\usetikzlibrary{matrix,arrows}
\usetikzlibrary{intersections}
\usetikzlibrary{decorations.pathmorphing,decorations.pathrep... | https://arxiv.org/abs/1903.06426 | arxiv | 2019-03-18T01:14:24 | |
A thin triangle is depicted on the left and its comparison triangle in R^2 on the right. The dashed line indicates that the distance of p and q on the left is less than the distance of their comparison points p and q on the right. | \documentclass[a4paper, bibliography=totoc, twoside]{scrreprt}
\usepackage[utf8]{inputenc}
\usepackage{amsmath, amssymb, amsthm, amsfonts, mathtools, nicefrac}
\usepackage{xcolor}
\usepackage{tikz}
\usetikzlibrary{matrix,arrows}
\usetikzlibrary{intersections}
\usetikzlibrary{decorations.pathmorphing,decorations.pathrep... | https://arxiv.org/abs/1903.06426 | arxiv | 2019-03-18T01:14:24 | |
From left to right, we see two non-crossing partitions _1 and _2, their meet _1 _2=_1 _P_n_2=_1 _NCP_n_2 in both P_6 and NCP_6, their crossing join _1_P_n_2 in P_6, and their non-crossing join _1_NCP_n_2 in NCP_6. | \documentclass[a4paper, bibliography=totoc, twoside]{scrreprt}
\usepackage[utf8]{inputenc}
\usepackage{amsmath, amssymb, amsthm, amsfonts, mathtools, nicefrac}
\usepackage{xcolor}
\usepackage{tikz}
\usetikzlibrary{matrix,arrows}
\usetikzlibrary{intersections}
\usetikzlibrary{decorations.pathmorphing,decorations.pathrep... | https://arxiv.org/abs/1903.06426 | arxiv | 2019-03-18T01:14:24 | |
The depicted chambers C and D of |NCP_6| are not opposite in the building , but their distance in |NCP_6| is greater than their distance in the building . | \documentclass[a4paper, bibliography=totoc, twoside]{scrreprt}
\usepackage[utf8]{inputenc}
\usepackage{amsmath, amssymb, amsthm, amsfonts, mathtools, nicefrac}
\usepackage{xcolor}
\usepackage{tikz}
\usetikzlibrary{matrix,arrows}
\usetikzlibrary{intersections}
\usetikzlibrary{decorations.pathmorphing,decorations.pathrep... | https://arxiv.org/abs/1903.06426 | arxiv | 2019-03-18T01:14:24 | |
Five non-crossing D_5-partitions of rank 2 with increasing type from left to right. | \documentclass[a4paper, bibliography=totoc, twoside]{scrreprt}
\usepackage[utf8]{inputenc}
\usepackage{amsmath, amssymb, amsthm, amsfonts, mathtools, nicefrac}
\usepackage{xcolor}
\usepackage{tikz}
\usetikzlibrary{matrix,arrows}
\usetikzlibrary{intersections}
\usetikzlibrary{decorations.pathmorphing,decorations.pathrep... | https://arxiv.org/abs/1903.06426 | arxiv | 2019-03-18T01:14:24 | |
The chambers A, B, E, F and G are shown here. | \documentclass[a4paper, bibliography=totoc, twoside]{scrreprt}
\usepackage[utf8]{inputenc}
\usepackage{amsmath, amssymb, amsthm, amsfonts, mathtools, nicefrac}
\usepackage{xcolor}
\usepackage{tikz}
\usetikzlibrary{matrix,arrows}
\usetikzlibrary{intersections}
\usetikzlibrary{decorations.pathmorphing,decorations.pathrep... | https://arxiv.org/abs/1903.06426 | arxiv | 2019-03-18T01:14:24 | |
The chambers B_1, B_2, B_2, E_1, E_2 and E_3 are shown here. | \documentclass[a4paper, bibliography=totoc, twoside]{scrreprt}
\usepackage[utf8]{inputenc}
\usepackage{amsmath, amssymb, amsthm, amsfonts, mathtools, nicefrac}
\usepackage{xcolor}
\usepackage{tikz}
\usetikzlibrary{matrix,arrows}
\usetikzlibrary{intersections}
\usetikzlibrary{decorations.pathmorphing,decorations.pathrep... | https://arxiv.org/abs/1903.06426 | arxiv | 2019-03-18T01:14:24 | |
MAE improvement (\%) of our approach with respect to context-free MF and baselines | \documentclass[runningheads]{llncs}
\usepackage{pgfplots}
\pgfplotsset{
legend image code/.code={
\draw[#1] (0cm,-0.1cm) rectangle (0.6cm,0.1cm);
},
}
\begin{document}
\begin{tikzpicture}
\begin{axis}[
ybar,
%area legend,
bar width=9.5,
width=7cm,
enlargelimits=0.30,
legend style={at={(0.5,-0.15)},
ancho... | https://arxiv.org/abs/1810.00751 | arxiv | 2018-10-02T02:24:21 | |
An example of a functional isolation tree structure denoted by T. Here, C_2,1 is a cell associated with a terminal node. | \documentclass[a4,12pt]{article}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{arrows}
\tikzset{
treenode/.style = {align=center, inner sep=0pt, text centered,
font=\sffamily},
arn_n/.style = {treenode, circle, black, font=\sffamily\bfseries, draw=black,
fill=white, text width=... | https://arxiv.org/abs/1904.04573 | arxiv | 2019-04-10T02:12:24 | |
Tradeoff curve between D_ and s. | \documentclass{IEEEtran}
\usepackage{tikz}
\usepackage{amsmath,amssymb,amsthm,bm,mathtools}
\begin{document}
\begin{tikzpicture}[scale=0.8]
\draw[->] (0,0)--(0,2.5); \node [right] at (0,2.5) {$D_{\min}$};
\draw[->] (0,0)--(3.5,0); \node [right] at (3.5,0) {$s$};
\node [below] at (0,0) {$0$};
\filldraw [red](0,1... | https://arxiv.org/abs/1909.11605 | arxiv | 2019-09-26T02:18:01 | |
Tradeoff curve between D_ and w. | \documentclass{IEEEtran}
\usepackage{tikz}
\usepackage{amsmath,amssymb,amsthm,bm,mathtools}
\begin{document}
\begin{tikzpicture}[scale=0.8]
\draw[->] (0,0)--(0,2.5); \node [right] at (0,2.5) {$D_{\min}$};
\draw[->] (0,0)--(3.5,0); \node [right] at (3.5,0) {$w$};
\node [below] at (0,0) {$0$};
\filldraw [red](0,1... | https://arxiv.org/abs/1909.11605 | arxiv | 2019-09-26T02:18:01 | |
The dependency of D_ on (,s). | \documentclass{IEEEtran}
\usepackage{tikz}
\usepackage{amsmath,amssymb,amsthm,bm,mathtools}
\begin{document}
\begin{tikzpicture}[scale=0.7]
\draw[->] (0,0)--(0,4); \node [right] at (0,4) {$D_{\min}$};
\draw[->] (0,0)--(5,0); \node [right] at (5,0) {$s$};
\draw[->] (0,0)--(-3.0,-3.0); \node [left] at (-3.0,-3.0) {$... | https://arxiv.org/abs/1909.11605 | arxiv | 2019-09-26T02:18:01 | |
The dependency of D_ on (,w). | \documentclass{IEEEtran}
\usepackage{tikz}
\usepackage{amsmath,amssymb,amsthm,bm,mathtools}
\begin{document}
\begin{tikzpicture}[scale=0.7]
\draw[->] (0,0)--(0,4); \node [right] at (0,4) {$D_{\min}$};
\draw[->] (0,0)--(5,0); \node [right] at (5,0) {$w$};
\draw[->] (0,0)--(-2.5,-2.5); \node [left] at (-2.5,-2.5) {$... | https://arxiv.org/abs/1909.11605 | arxiv | 2019-09-26T02:18:01 | |
Illustration of the necessary and no active and passive preference conditions for the existence of a range for s(a), ]s^l(a), s^u(a)[ | \documentclass[authoryear,preprint,11pt]{elsarticle}
\usepackage{amssymb}
\usepackage{color,colortbl}
\usepackage{tikz}
\usepackage{pgfplots}
\usetikzlibrary{arrows,calc}
\usepackage{xcolor}
\usepackage{amsthm,amsmath,amssymb,eurosym}
\begin{document}
\begin{tikzpicture}[x=1cm,y=1cm,scale=1]
\draw[->] (0,0) -... | https://arxiv.org/abs/1905.06089 | arxiv | 2019-05-16T02:12:57 | |
The PGM query hypergraph (left), factor graph (middle) and a GHD for it (right). We use hypergraphs instead of factor graphs for notational ease. | \documentclass[11pt]{article}
\usepackage[T1]{fontenc}
\usepackage[cmex10]{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usepackage{xcolor}
\usepackage{amsmath}
\begin{document}
\begin{tikzpicture}[scale=0.6]
%%% The pGM query hypergraph
\node[circle, fill=gray!30] (A) at (0,0) {$A$};
\node[circle, fill=gray!30]... | https://arxiv.org/abs/1804.01640 | arxiv | 2018-04-06T02:03:32 | |
Datasets are divided into six bands depending on the sizes of R_D and . The red shade in each box denotes the speedup of GHD based system over a treewidth based system and the blue shades shows the speedup of JoinInfer | \documentclass[11pt]{article}
\usepackage[T1]{fontenc}
\usepackage[cmex10]{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usepackage{xcolor}
\usepackage{amsmath}
\newcommand{\bandone}{Band $1$}
\newcommand{\ourModel}{\textsf{JoinInfer}}
\newcommand{\bandtwo}{Band $2$}
\newcommand{\bandthree}{Band $3$}
\newcomman... | https://arxiv.org/abs/1804.01640 | arxiv | 2018-04-06T02:03:32 | |
Channel combining: C is a two-qubit Clifford unitary chosen at random. | \documentclass[a4paper,11pt]{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage[usenames,dvipsnames]{xcolor}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage[colorlinks=true,urlcolor=Mahogany,linkcolor=Mahogany,citecolor=Mahogany,plainpages=false,pdfpagelabels]{hyperref}
\usepackage{tikz}
\u... | https://arxiv.org/abs/1904.04713 | arxiv | 2019-04-10T02:18:06 | |
Connected Paulis anti-commute and Paulis that are not connected commute. | \documentclass[a4paper,11pt]{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage[usenames,dvipsnames]{xcolor}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage[colorlinks=true,urlcolor=Mahogany,linkcolor=Mahogany,citecolor=Mahogany,plainpages=false,pdfpagelabels]{hyperref}
\usepackage{tikz}
\u... | https://arxiv.org/abs/1904.04713 | arxiv | 2019-04-10T02:18:06 | |
Approximations used in fastICA: The fastICA objective function J^*(y) is used in place of negentropy J(f). | \documentclass[journal,compsoc]{IEEEtran}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{calc}
\newcommand{\Ex}{\mathsf{E}}
\begin{document}
\begin{tikzpicture}
% first row
\node [left] at (0,-1) {$f$};
\draw [->] (0,-1) --(1.5,-1);
\node [right] at (1.5,-1) {$J(f)$};
% connect... | https://arxiv.org/abs/1805.10206 | arxiv | 2018-05-28T02:09:35 | |
Can we view Suzuki--Ree groups, mixed buildings and exotic pseudo-reductive groups in terms of a more general version of algebraic groups? | \documentclass[a4paper]{amsart}
\usepackage[T1]{fontenc}
\usepackage{tikz}
\usetikzlibrary{cd}
\begin{document}
\begin{tikzpicture}[scale=0.7, every node/.style={scale=0.7}]
\begin{scope}
\draw[clip] (1.5,-3) -- (1.5,5) -- (-3,5) -- (-3,-3) -- (1.5,-3);
\draw {(0,4) circle [x radius=2.5, y radius=... | https://arxiv.org/abs/1904.10741 | arxiv | 2019-04-25T02:11:24 | |
The black hole mass M as a function of the horizon radius r_+ | \documentclass[12pt, a4paper]{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usepackage{pgfplots}
\usepgfplotslibrary{fillbetween}
\begin{document}
\begin{tikzpicture}
\begin{axis}[axis lines = center,
xlabel = $r_+/l$,
ylabel = {$M/l$},
xtick={0.57735,1},
ytick={-0.19245},
xticklabels={$... | https://arxiv.org/abs/1903.11628 | arxiv | 2019-03-29T01:00:31 | |
The function p(r), with M>0 | \documentclass[12pt, a4paper]{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usepackage{pgfplots}
\usepgfplotslibrary{fillbetween}
\begin{document}
\begin{tikzpicture}
\begin{axis}[axis lines = center,
xlabel = $r$,
ylabel = {$p(r)$},
ymin=-15,
xtick={-1.633, 1.633,3},
ytick=\empty,
xtic... | https://arxiv.org/abs/1903.11628 | arxiv | 2019-03-29T01:00:31 | |
The regions of linear stability and instability for Neumann boundary conditions | \documentclass[12pt, a4paper]{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usepackage{pgfplots}
\usepgfplotslibrary{fillbetween}
\begin{document}
\begin{tikzpicture}
\begin{axis}[axis lines = center,
xlabel = $\kappa$,
ylabel = {$r_+/l$},
xtick={0.5,0.9},
ytick={0,0.577,1},
xticklabels=... | https://arxiv.org/abs/1903.11628 | arxiv | 2019-03-29T01:00:31 | |
The function f(r)/r^2 | \documentclass[12pt, a4paper]{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usepackage{pgfplots}
\usepgfplotslibrary{fillbetween}
\begin{document}
\begin{tikzpicture}\label{f/r^2}
\begin{axis}[axis lines = center,
xlabel = $r$,
ylabel = {$f(r)/r^2$},
xtick=\empty,
ytick={100},
yticklabel... | https://arxiv.org/abs/1903.11628 | arxiv | 2019-03-29T01:00:31 | |
Complement of T_s,t | \documentclass[12pt,oneside]{amsart}
\usepackage{color}
\usepackage{amsmath,amssymb}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
\draw[fill]
(-2,0) node[above]{$-\frac{t}{t'}$} circle(0.5ex)--
(0,0) node[above]{$-1$} circle(0.5ex) --
(2,0) node[above]{$-\frac... | https://arxiv.org/abs/1909.13002 | arxiv | 2019-10-01T02:07:15 | |
Plumbing diagrams for the 0-surgery on K_m,n and K_p=K_1,p | \documentclass[12pt,oneside]{amsart}
\usepackage{color}
\usepackage{amsmath,amssymb}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
\draw[fill]
(-2,0) node[above]{$m$} circle(0.5ex)--
(0,0) node[above]{$0$} circle(0.5ex)
(2,0) node[above]{$0$} circle(0.5ex)--
... | https://arxiv.org/abs/1909.13002 | arxiv | 2019-10-01T02:07:15 | |
A conceptual sketch of flat and sharp minima from Keskar2016. The Y-axis indicates values of the error function and the X-axis the weight-space. | \documentclass[11pt,letterpaper]{article}
\usepackage{tikz}
\usepackage{amsmath}
\usepackage{amssymb}
\begin{document}
\begin{tikzpicture}
\draw[step=1cm,gray,very thin,dotted] (-2,-0.5) grid (3.5,3);
\draw (0,0) parabola (2.0,3);
\draw (0,0) parabola (-2,3);
\draw (2.5,0) parabola (2,3);
\draw (2.5,0) parabola (3.0,... | https://arxiv.org/abs/1707.09861 | arxiv | 2017-08-01T02:13:19 | |
Illustration of a time window assignment determined from a feasible ConVRP solution. Here, S=3 and \{a_si\}_s=1,2,3 denote arrival times at customer i in the three scenarios. a_3i - a_1i w_i holds because of arrival-time consistency. Therefore, [y_i, y_i + w_i] is a valid time window assignment. | \documentclass[11pt]{article}
\usepackage{amsmath, amsfonts, amsthm, amssymb, mathtools}
\usepackage{authblk, color, bm, bbm, graphicx, epstopdf}
\usepackage{tikz,pgfplots}
\usetikzlibrary{positioning,arrows.meta}
\pgfplotsset{
every axis/.append style={
height=4cm,
width=8cm,
ytick={3,9},
yticklabels={$s=2$,$... | https://arxiv.org/abs/1806.03220 | arxiv | 2018-06-11T02:16:23 | |
Motivation for the path-based disjunctions. The above shown sub-paths must satisfy (a_s_2i - a_s_2j) + (a_s_1j - a_s_1i) w_i + w_j, if they are to be part of a feasible solution. | \documentclass[11pt]{article}
\usepackage{amsmath, amsfonts, amsthm, amssymb, mathtools}
\usepackage{authblk, color, bm, bbm, graphicx, epstopdf}
\usepackage{tikz,pgfplots}
\usetikzlibrary{positioning,arrows.meta}
\pgfplotsset{
every axis/.append style={
height=4cm,
width=8cm,
ytick={3,9},
yticklabels={$s=2$,$... | https://arxiv.org/abs/1806.03220 | arxiv | 2018-06-11T02:16:23 | |
Instance parameters for the illustrative example. The arc weights denote both travel times and costs, and they are such that the triangle inequality is satisfied. Note that the graph is assumed to be complete, with nodes 0--3 lying along a straight line and costs/times to travel along this line being cumulative (not al... | \documentclass[11pt]{article}
\usepackage{amsmath, amsfonts, amsthm, amssymb, mathtools}
\usepackage{authblk, color, bm, bbm, graphicx, epstopdf}
\usepackage{tikz,pgfplots}
\usetikzlibrary{positioning,arrows.meta}
\pgfplotsset{
every axis/.append style={
height=4cm,
width=8cm,
ytick={3,9},
yticklabels={$s=2$,$... | https://arxiv.org/abs/1806.03220 | arxiv | 2018-06-11T02:16:23 | |
% Three computational graphs with different adjacencies and colorings when ordered that are isomorphic in the sense of Definition~def:iso(best viewed in color). | \documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[
vertex/.style={
fill opacity=0.25,
text opacity=1,
draw=black,
circle,
minimum width=0.5cm,
},
vertex 1/.style={vertex,fill=green},... | https://arxiv.org/abs/1902.06192 | arxiv | 2019-02-19T02:13:27 | |
Counter-example to show that the disjunctions~eq:path_disjunctions are not sufficient for the TWAVRP. | \documentclass[11pt]{article}
\usepackage{amsmath, amsfonts, amsthm, amssymb, mathtools}
\usepackage{authblk, color, bm, bbm, graphicx, epstopdf}
\usepackage{tikz,pgfplots}
\usetikzlibrary{positioning,arrows.meta}
\pgfplotsset{
every axis/.append style={
height=4cm,
width=8cm,
ytick={3,9},
yticklabels={$s=2$,$... | https://arxiv.org/abs/1806.03220 | arxiv | 2018-06-11T02:16:23 | |
% A counterexample using 10 vertices and 16 edges. Vertices 2, 3, 4, 5 must be the same color and likewise for 6, 7, 8, 9 (the two sets of vertices can be the same color). Vertices 1 and 10 can be colored with any color. | \documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[
vertex/.style={
fill opacity=0.25,
text opacity=1,
draw=black,
circle,
minimum width=0.5cm,
},
vertex 1/.style={vertex,fill=white},... | https://arxiv.org/abs/1902.06192 | arxiv | 2019-02-19T02:13:27 | |
The search tree of our algorithm (utilizing path-based disjunctions) for the illustrative example of Figure~figure:example_instance. | \documentclass[11pt]{article}
\usepackage{amsmath, amsfonts, amsthm, amssymb, mathtools}
\usepackage{authblk, color, bm, bbm, graphicx, epstopdf}
\usepackage{tikz,pgfplots}
\usetikzlibrary{positioning,arrows.meta}
\pgfplotsset{
every axis/.append style={
height=4cm,
width=8cm,
ytick={3,9},
yticklabels={$s=2$,$... | https://arxiv.org/abs/1806.03220 | arxiv | 2018-06-11T02:16:23 | |
The search tree of our algorithm for the illustrative example of Figure~figure:example_instance. | \documentclass[11pt]{article}
\usepackage{amsmath, amsfonts, amsthm, amssymb, mathtools}
\usepackage{authblk, color, bm, bbm, graphicx, epstopdf}
\usepackage{tikz,pgfplots}
\usetikzlibrary{positioning,arrows.meta}
\pgfplotsset{
every axis/.append style={
height=4cm,
width=8cm,
ytick={3,9},
yticklabels={$s=2$,$... | https://arxiv.org/abs/1806.03220 | arxiv | 2018-06-11T02:16:23 | |
The model architecture of SINE. For each node v_i, SINE learns its representation by using it to predict its context node v_j and its observable attribute a_j so that nodes sharing similar context nodes or similar observed attributes are embedded closely in the new vector space. In this way, the incomplete structure an... | \documentclass[conference]{IEEEtran}
\usepackage{tikz-cd}
\usepackage{tikz}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{color}
\usetikzlibrary{positioning}
\usetikzlibrary{shapes,snakes}
\begin{document}
\begin{tikzpicture}
[thick,scale=0.6, every node/.style={scale=0.6}]
\matrix[nodes={red, draw, line wi... | https://arxiv.org/abs/1810.06768 | arxiv | 2018-10-17T02:05:44 | |
Mean micro F_1 scores and standaard errors calculated from 10 transfer learning runs with MUSAE and AE on the Twitch graphs using France, Portugal and Russia as targets for the transfer. | \documentclass{article}
\usepackage{amsmath,amsfonts,bm}
\usepackage{amssymb,amsmath,amsthm}
\usepackage{color}
\usepackage{pgfplots}
\usepackage{tikz}
\usetikzlibrary{arrows,petri,topaths,backgrounds,snakes,patterns,positioning}
\usepackage{tkz-berge}
\usetikzlibrary{pgfplots.groupplots}
\usepackage{xcolor}
\pgfplotss... | https://arxiv.org/abs/1909.13021 | arxiv | 2019-10-01T02:07:55 | |
Mean micro F_1 scores and standard errors calculated from 10 transfer learning runs with MUSAE and AE on the Twitch graphs using Germany, England and Spain as target for the transfer. | \documentclass{article}
\usepackage{amsmath,amsfonts,bm}
\usepackage{amssymb,amsmath,amsthm}
\usepackage{color}
\usepackage{pgfplots}
\usepackage{tikz}
\usetikzlibrary{arrows,petri,topaths,backgrounds,snakes,patterns,positioning}
\usepackage{tkz-berge}
\usetikzlibrary{pgfplots.groupplots}
\usepackage{xcolor}
\pgfplotss... | https://arxiv.org/abs/1909.13021 | arxiv | 2019-10-01T02:07:55 | |
The same level of observation: Two observers O_1 and O_2 are performing consecutive measurements on a quantum system, initially in state |H_S. In this case, the measurement-update rule and the relative-state formalism give the same conditional probabilities for the measurement results of the two observers. | \documentclass[reprint,amsmath,aps]{revtex4-1}
\usepackage{amsmath,amssymb}
\usepackage{pgfplots}
\usepackage{tikz}
\usetikzlibrary{calc,positioning}
\usepackage{xcolor}
\newcommand{\ket}[1]{|#1\rangle}
\newcommand{\proj}[1]{|#1\rangle\langle#1|}
\begin{document}
\begin{tikzpicture}[scale=0.75]
\node[fill=yellow!30... | https://arxiv.org/abs/1710.07212 | arxiv | 2017-10-23T02:06:09 | |
Different levels of observation: Observer O performs a measurement on a quantum system S in state |. A superobserver SO then performs a measurement on the joint system including the observer O. For this type of consecutive measurements, the standard quantum formalism and the relative-state formalism yield different con... | \documentclass[reprint,amsmath,aps]{revtex4-1}
\usepackage{amsmath,amssymb}
\usepackage{pgfplots}
\usepackage{tikz}
\usetikzlibrary{calc,positioning}
\usepackage{xcolor}
\newcommand{\ket}[1]{|#1\rangle}
\newcommand{\proj}[1]{|#1\rangle\langle#1|}
\begin{document}
\begin{tikzpicture}[scale=0.75]
\draw[thick] (-2,-1)... | https://arxiv.org/abs/1710.07212 | arxiv | 2017-10-23T02:06:09 | |
a. The source in the first laboratory emits a coin state |_C which is measured by F_1, with outcomes \{h,t\}. Depending on the result, F_1 sends state |_S which is measured by F_2. Assistant A and Wigner W perform measurements in superposition bases, with outcomes \{f,o\}, on the first and second joint system, respecti... | \documentclass[reprint,amsmath,aps]{revtex4-1}
\usepackage{amsmath,amssymb}
\usepackage{pgfplots}
\usepackage{tikz}
\usetikzlibrary{calc,positioning}
\usepackage{xcolor}
\newcommand{\ket}[1]{|#1\rangle}
\begin{document}
\begin{tikzpicture}[scale=0.6]
\draw[thick] (-1,-1) rectangle (4.3,1);
\node[fill=yellow!30, ... | https://arxiv.org/abs/1710.07212 | arxiv | 2017-10-23T02:06:09 | |
Optimization time as a function of average feature count / number of vertices. | \documentclass{article}
\usepackage{amsmath,amsfonts,bm}
\usepackage{amssymb,amsmath,amsthm}
\usepackage{color}
\usepackage{pgfplots}
\usepackage{tikz}
\usetikzlibrary{arrows,petri,topaths,backgrounds,snakes,patterns,positioning}
\usepackage{tkz-berge}
\usetikzlibrary{pgfplots.groupplots}
\usepackage{xcolor}
\pgfplotss... | https://arxiv.org/abs/1909.13021 | arxiv | 2019-10-01T02:07:55 | |
Architecture of neural network model used to predict reaction types. | \documentclass[11pt,a4paper]{article}
\usepackage{pgfplots}
\usepackage{tikz}
\usepackage{xcolor}
\usepackage{tikz}
\usepackage{pgfplots}
\begin{document}
\begin{tikzpicture}[scale=0.42, transform shape]
%merged network
\draw[->,ultra thick] (-2,4.5) -- (-2,5.2);
\node at (-2,5.53) {\LARGE Predicted Label};%
\dra... | https://arxiv.org/abs/1805.12032 | arxiv | 2018-05-31T02:13:09 | |
Node classification k-shot learning performance as a function of training samples per class evaluated by average micro F_1 scores calculated from a 100 seeded train-test splits. | \documentclass{article}
\usepackage{amsmath,amsfonts,bm}
\usepackage{amssymb,amsmath,amsthm}
\usepackage{color}
\usepackage{pgfplots}
\usepackage{tikz}
\usetikzlibrary{arrows,petri,topaths,backgrounds,snakes,patterns,positioning}
\usepackage{tkz-berge}
\usetikzlibrary{pgfplots.groupplots}
\usepackage{xcolor}
\pgfplotss... | https://arxiv.org/abs/1909.13021 | arxiv | 2019-10-01T02:07:55 | |
Gap fraction f in the range 300 < p_ < 400 and 4 < y_12 < 5 calculated with different values of N_Re with N_ = N_^thr = 0. | \documentclass[prd, twocolumn, nofootinbib, reprint, preprintnumbers, showkeys, floatfix]{revtex4-1}
\usepackage{color}
\usepackage{amsmath,amsfonts,bm}
\usepackage{pgfplots,pgfplotstable}
\usepgfplotslibrary{fillbetween}
\usepgfplotslibrary{groupplots}
\usetikzlibrary{intersections}
\pgfplotsset{compat=newest}
\pgfplo... | https://arxiv.org/abs/1905.07176 | arxiv | 2019-05-20T02:11:14 | |
Gap fraction f in the range 300 < p_ < 400 and 4 < y_12 < 5 as a function of _min. The calculation uses N_^thr = 1 at the start of the shower, then N_Re = 2, N_ = 2 for the shower in the range _ > > _min, then N_Re = N_ = 0 in the range _min > > 1 . The maximum color suppression index is I_max = 4. The curve is a linea... | \documentclass[prd, twocolumn, nofootinbib, reprint, preprintnumbers, showkeys, floatfix]{revtex4-1}
\usepackage{color}
\usepackage{amsmath,amsfonts,bm}
\usepackage{pgfplots,pgfplotstable}
\usepgfplotslibrary{fillbetween}
\usepgfplotslibrary{groupplots}
\usetikzlibrary{intersections}
\pgfplotsset{compat=newest}
\pgfplo... | https://arxiv.org/abs/1905.07176 | arxiv | 2019-05-20T02:11:14 | |
Gap fraction f as in Fig.~fig:Nre calculated with different values of N_^thr with N_Re = N_ = 0. | \documentclass[prd, twocolumn, nofootinbib, reprint, preprintnumbers, showkeys, floatfix]{revtex4-1}
\usepackage{color}
\usepackage{amsmath,amsfonts,bm}
\usepackage{pgfplots,pgfplotstable}
\usepgfplotslibrary{fillbetween}
\usepgfplotslibrary{groupplots}
\usetikzlibrary{intersections}
\pgfplotsset{compat=newest}
\pgfplo... | https://arxiv.org/abs/1905.07176 | arxiv | 2019-05-20T02:11:14 | |
Typical vertex layout in proof of lem:selectouttree. The identity of vertex u does not matter, hence it is not shown | \documentclass[11pt]{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amssymb}
\usepackage[tbtags,fleqn]{amsmath}
\usepackage{color}
\usepackage{tikz}
\usetikzlibrary{arrows,shapes.geometric,shapes.misc}
\begin{document}
\begin{tikzpicture}[xscale=1.5,yscale=1.2]
\tikzstyle{vertex}=[ellip... | https://arxiv.org/abs/1910.02794 | arxiv | 2019-10-08T02:26:35 | |
Simplified RCG for a paper which references two other papers. Nodes: P_n=Research product, A_n=Author, I_n=Affiliated institution; Edges: cite=``citation'' relation, auth=``authored by'' relation, affil=``affiliated with'' relation. | \documentclass[10pt,journal,compsoc]{IEEEtran}
\usepackage{tikz}
\usetikzlibrary{shapes,decorations,arrows,calc,arrows.meta,fit,positioning}
\tikzset{
-Latex,auto,node distance =1 cm and 1 cm,semithick,
state/.style ={ellipse, draw, minimum width = 0.7 cm},
point/.style = {circle, draw, inner sep=0.04cm,fil... | https://arxiv.org/abs/1906.06141 | arxiv | 2019-06-17T02:11:45 | |
The universal used in the library. | \documentclass[a4paper]{article}
\usepackage{amsmath, amsfonts,amssymb, hyperref}
\usepackage{tikz}
\newcommand{\ask}{\operatorname{?}}
\newcommand{\str}{\mathbf}
\newcommand{\answer}{\operatorname{!}}
\newcommand{\size}[1]{|#1|}
\begin{document}
\begin{tikzpicture}
\draw (0,0) rectangle (4,3);
\draw[roun... | https://arxiv.org/abs/1904.13203 | arxiv | 2019-05-01T02:13:30 | |
Updated RCG, kept incomplete for reasons of legibility. | \documentclass[10pt,journal,compsoc]{IEEEtran}
\usepackage{tikz}
\usetikzlibrary{shapes,decorations,arrows,calc,arrows.meta,fit,positioning}
\tikzset{
-Latex,auto,node distance =1 cm and 1 cm,semithick,
state/.style ={ellipse, draw, minimum width = 0.7 cm},
point/.style = {circle, draw, inner sep=0.04cm,fil... | https://arxiv.org/abs/1906.06141 | arxiv | 2019-06-17T02:11:45 | |
Some subgroups of U_n(Domega. To the left of the cube, in yellow, the symmetric group S_n corresponds to circuits over the gate set , CX, CCX. On the bottom face of the cube, in blue, are generalized symmetric groups, and on the top face of the cube, in red, are universal subgroups of U_n(Domega. The edges of the latti... | \documentclass{article}
\usepackage{amsmath,amsfonts,amsthm,amssymb}
\usepackage{tikz}
\usetikzlibrary{calc,decorations.pathreplacing,positioning,shapes,arrows}
\usepackage{tikz-cd}
\usetikzlibrary{cd}
\newcommand{\D}{\mathbb{D}}
\newcommand{\Drminustwo}{\D\left[\sqrt{\mbox{-}2}\right]}
\newcommand{\Di}{\mathbb{D}[i... | https://arxiv.org/abs/1908.06076 | arxiv | 2019-08-19T02:13:51 | |
The incident angle of the collision, , which we vary as a parameter. | \documentclass{article}
\usepackage{amsmath}
\usepackage[colorinlistoftodos]{todonotes}
\usepackage[colorlinks=true, allcolors=blue]{hyperref}
\usepackage{amsthm,amsfonts,amscd,amssymb,eucal,latexsym,mathrsfs}
\usepackage{tikz}
\usepackage[utf8]{inputenc}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[sca... | https://arxiv.org/abs/1803.08817 | arxiv | 2018-03-26T02:09:34 | |
Crown frame | \documentclass[a4paper,10pt,oneside,onecolumn,preprint]{elsarticle}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{backgrounds}
\usetikzlibrary{calc,trees,positioning,arrows,fit,shapes}
\begin{document}
\begin{tikzpicture} [->, >=stealth', shorten >=1pt,auto, node distance=1cm,
thick,
u... | https://arxiv.org/abs/1807.02868 | arxiv | 2018-07-10T02:10:26 | |
(left) A region of the sparse precision matrix, (center) The corresponding subgraph of that region, along with balls of varying radius from the root node E, (right) The ball subgraph constructed with r = 1. These subgraphs with bounded radius act as the structured regions on which scan statistics can be applied. | \documentclass[twoside,11pt]{article}
\usepackage{microtype,color,xcolor}
\usepackage{tikz}
\usetikzlibrary{arrows,automata,shapes.misc}
\usepackage{amsmath}
\usepackage{amsmath}
\begin{document}
\begin{tikzpicture}
\path[draw,line width=2pt,black!70!white] (-0.5,-0.5) -- (2,-0.5)--(2,2)--(-0.5,2)--cycle;
\fil... | https://arxiv.org/abs/1711.07575 | arxiv | 2017-11-22T02:04:28 | |
A star graph with C_2 symmetry. | \documentclass[article]{amsart}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage[latin1]{inputenc}
\usepackage{tikz}
\usetikzlibrary{shapes.geometric}
\usetikzlibrary{positioning, calc}
\usepgflibrary{arrows}
\begin{document}
\begin{tikzpicture}
\coordinate [label=right:0] (0) at (0,0);
\coordinate [label=... | https://arxiv.org/abs/1903.05961 | arxiv | 2019-03-15T01:17:18 | |
A star graph with 3 edges having the same length. | \documentclass[article]{amsart}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage[latin1]{inputenc}
\usepackage{tikz}
\usetikzlibrary{shapes.geometric}
\usetikzlibrary{positioning, calc}
\usepgflibrary{arrows}
\begin{document}
\begin{tikzpicture}
\coordinate [label=right:0] (0) at (0,0);
\coordinate [label=... | https://arxiv.org/abs/1903.05961 | arxiv | 2019-03-15T01:17:18 | |
Optimal self-identifying code on C_17(1,4). | \documentclass{article}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usepackage[ansinew]{inputenc}
\usepackage{amssymb,amsthm,amsmath}
\begin{document}
\begin{tikzpicture}[scale=0.4,line cap=round,line join=round,>=triangle 45,x=1.0cm,y=1.0cm]
\foreach \x in {8,12,16,20,24,28,32}
\fill [shift={(\x,0)}] circle (5pt)... | https://arxiv.org/abs/1802.01325 | arxiv | 2018-02-06T02:13:37 | |
The patterns for C_n(1,3). The crosses denote the codewords. | \documentclass{article}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usepackage[ansinew]{inputenc}
\usepackage{amssymb,amsthm,amsmath}
\begin{document}
\begin{tikzpicture}[scale=0.4]
\clip(-2.7,-0.9) rectangle (12.5,6.3);
%P3
\foreach \x in {0,2,4}
\fill [shift={(\x,6)}] circle (5pt);
\foreach \x in {6,8,10,12}
... | https://arxiv.org/abs/1802.01325 | arxiv | 2018-02-06T02:13:37 | |
(a) An equilateral tetrahedron graph. (b) We added dummy vertices and assigned directions arbitrarily. | \documentclass[article]{amsart}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage[latin1]{inputenc}
\usepackage{tikz}
\usetikzlibrary{shapes.geometric}
\usetikzlibrary{positioning, calc}
\usepgflibrary{arrows}
\begin{document}
\begin{tikzpicture}
\coordinate [label=left:1] (1) at (0,0);
\coordinate [lab... | https://arxiv.org/abs/1903.05961 | arxiv | 2019-03-15T01:17:18 | |
Optimal self-identifying codes for C_n(1,3) for n\{12,13,14,15,16,17,18\}. | \documentclass{article}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usepackage[ansinew]{inputenc}
\usepackage{amssymb,amsthm,amsmath}
\begin{document}
\begin{tikzpicture}[scale=0.4,>=triangle 45]
%n=18
\foreach \x in {8,10,12,22,24,32,34}
\fill [shift={(\x,18)}] circle (5pt);
\foreach \x in {0,2,4,6,14,16,18,20,... | https://arxiv.org/abs/1802.01325 | arxiv | 2018-02-06T02:13:37 | |
Optimal identifying codes for C_40(1,4) and C_80(1,44). The crosses denote the codewords and dots are non-codewords. | \documentclass{article}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usepackage[ansinew]{inputenc}
\usepackage{amssymb,amsthm,amsmath}
\begin{document}
\begin{tikzpicture}[scale=0.18,rotate=-90,>=triangle 45]
\foreach \x in {3,4,5,6,7,9,11,13,14,15,17,19,20,21,23,25,27,28,29,30,31,35,36,37,38,39,43,44,45,46,47,49,51,53... | https://arxiv.org/abs/1802.01325 | arxiv | 2018-02-06T02:13:37 | |
Examples of optimal self-identifying codes for k=15,16,17. | \documentclass{article}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usepackage[ansinew]{inputenc}
\usepackage{amssymb,amsthm,amsmath}
\begin{document}
\begin{tikzpicture}[scale=0.38,>=triangle 45]
\clip(-4,-1.1) rectangle (35.5,7.9);
\foreach \x in {2,5,8,11,14}
{\fill [shift={(\x,6)}] circle (5pt);
... | https://arxiv.org/abs/1802.01325 | arxiv | 2018-02-06T02:13:37 | |
The code C=\{0,1,2,3,5,7,9,11,13,15\} of C_17(1,4) on the 2-dimensional square grid. The crosses mark the codewords and dots the non-codewords. | \documentclass{article}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usepackage[ansinew]{inputenc}
\usepackage{amssymb,amsthm,amsmath}
\begin{document}
\begin{tikzpicture}[scale=0.78,line cap=round,line join=round,>=triangle 45,x=1.0cm,y=1.0cm]
\draw [color=gray,dash pattern=on 2pt off 2pt, xstep=1.0cm,ystep=1.0cm] (-1... | https://arxiv.org/abs/1802.01325 | arxiv | 2018-02-06T02:13:37 | |
An example of random walk from a_1 to a_4 based on metagraph G, which cannot be generated using metapaths P_1 and P_2. This justifies the ability of MetaGraph2Vec to provide richer structural contexts to measure semantic similarity between distant nodes. | \documentclass[10pt]{llncs}
\usepackage{amssymb}
\usepackage{tikz-cd}
\usepackage{tikz}
\usetikzlibrary{positioning}
\begin{document}
\begin{tikzpicture}
\node (a1) at (0,0) [thick, scale = 0.8, circle, draw] {$a_{1}$};
\node[scale = 0.8, circle, draw, right = 0.5cm of a1] (p1) {$p_{1}$};
\node[scale = 0.8, ci... | https://arxiv.org/abs/1803.02533 | arxiv | 2018-03-08T02:04:39 | |
Identifying Power of Factor Structure | \documentclass[11pt,fleqn,thmsa]{article}
\usepackage{amssymb,hyperref,backref}
\usepackage{amsmath,harvard,tikz,verbatim,epsfig}
\begin{document}
\begin{tikzpicture}
\coordinate (y) at (0,3);
\coordinate (x) at (3,0);
\draw[<-] (y) node[left] {$\alpha_0$} -- (0,-3);
\draw[->] (-3,0) -- (x) node[below]{$\gamma_... | https://arxiv.org/abs/1910.01318 | arxiv | 2019-10-04T02:07:22 | |
Rule cloning an element n of a set and creating a node n' immediately greater. | \documentclass{llncs}
\usepackage{pgf}
\usepackage{tikz}
\usetikzlibrary{arrows,automata}
\usepackage{amsmath}
\usepackage[utf8]{inputenc}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{trees}
\usetikzlibrary{arrows}
\usetikzlibrary{decorations.pathmorphing}
\usetikzlibrary{shapes.multipart}
\usetikzlibrary{sha... | https://arxiv.org/abs/1803.02776 | arxiv | 2018-03-08T02:11:30 | |
Example of rule for which A is not part of either C_2 or ^*^* | \documentclass{llncs}
\usepackage{pgf}
\usepackage{tikz}
\usetikzlibrary{arrows,automata}
\usepackage{amsmath}
\usepackage[utf8]{inputenc}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{trees}
\usetikzlibrary{arrows}
\usetikzlibrary{decorations.pathmorphing}
\usetikzlibrary{shapes.multipart}
\usetikzlibrary{sha... | https://arxiv.org/abs/1803.02776 | arxiv | 2018-03-08T02:11:30 | |
Example of a rule with labels in first-order logic | \documentclass{llncs}
\usepackage{pgf}
\usepackage{tikz}
\usetikzlibrary{arrows,automata}
\usepackage{amsmath}
\usepackage[utf8]{inputenc}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{trees}
\usetikzlibrary{arrows}
\usetikzlibrary{decorations.pathmorphing}
\usetikzlibrary{shapes.multipart}
\usetikzlibrary{sha... | https://arxiv.org/abs/1803.02776 | arxiv | 2018-03-08T02:11:30 | |
Example of application of the elementary action Merge | \documentclass{llncs}
\usepackage{pgf}
\usepackage{tikz}
\usetikzlibrary{arrows,automata}
\usepackage{amsmath}
\usepackage[utf8]{inputenc}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{trees}
\usetikzlibrary{arrows}
\usetikzlibrary{decorations.pathmorphing}
\usetikzlibrary{shapes.multipart}
\usetikzlibrary{sha... | https://arxiv.org/abs/1803.02776 | arxiv | 2018-03-08T02:11:30 | |
A) An automaton and B) the possible results of cloning node q_1 as node q'_1 | \documentclass{llncs}
\usepackage{pgf}
\usepackage{tikz}
\usetikzlibrary{arrows,automata}
\usepackage{amsmath}
\usepackage[utf8]{inputenc}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{trees}
\usetikzlibrary{arrows}
\usetikzlibrary{decorations.pathmorphing}
\usetikzlibrary{shapes.multipart}
\usetikzlibrary{sha... | https://arxiv.org/abs/1803.02776 | arxiv | 2018-03-08T02:11:30 | |
Illustrations of the various ways for a node to satisfy R. C[cl(i,j,)] by gaining a new R-neighbor satisfying C[cl(i,j,)]. The node where the concept is evaluated is in red; created edges are dashed and red. Squares are nodes that satisfy C[cl(i,j,)]. A) i will have a new neighbor j after [cl(i,j,)] if R and it has a s... | \documentclass{llncs}
\usepackage{pgf}
\usepackage{tikz}
\usetikzlibrary{arrows,automata}
\usepackage{amsmath}
\usepackage[utf8]{inputenc}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{trees}
\usetikzlibrary{arrows}
\usetikzlibrary{decorations.pathmorphing}
\usetikzlibrary{shapes.multipart}
\usetikzlibrary{sha... | https://arxiv.org/abs/1803.02776 | arxiv | 2018-03-08T02:11:30 | |
Illustrations of the various ways for a node to satisfy (<\; n\; R C)[mrg(i,j)] when the merging action affects the number of neighbors of a node. The node where the concept is evaluated is in red, the nodes that will be labeled with C are squares. A) j has no remaining neighbor, it thus satisfies (<\; n\; R C)[mrg(i,j... | \documentclass{llncs}
\usepackage{pgf}
\usepackage{tikz}
\usetikzlibrary{arrows,automata}
\usepackage{amsmath}
\usepackage[utf8]{inputenc}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{trees}
\usetikzlibrary{arrows}
\usetikzlibrary{decorations.pathmorphing}
\usetikzlibrary{shapes.multipart}
\usetikzlibrary{sha... | https://arxiv.org/abs/1803.02776 | arxiv | 2018-03-08T02:11:30 | |
geometry reduction. (a): affine geometry. Black dots denote the user-defined control points associated with the coarse triangulation. (b)-(d): non-affine geometry (section sec:laplace_gr). (b)-(c) show _ for two values of P; (d) shows the reference domain . | \documentclass[10pt,a4paper]{article}
\usepackage{tikz}
\usetikzlibrary{patterns}
\usetikzlibrary{arrows}
\usepackage{amssymb}
\begin{document}
\begin{tikzpicture}[scale=0.5]
\linethickness{0.3 mm}
\draw[ultra thick] (0,0)--(4,0)--(4,4)--(0,4)--(0,0);
\draw[ultra thick] (1,1)--(3,1)--(3,3)--(1,3)--(1,1);
\draw[ultr... | https://arxiv.org/abs/1906.11008 | arxiv | 2019-06-27T02:15:27 | |
Construction of in the proof of thm:3points | \documentclass[11pt,a4paper]{amsart}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amsthm,amsmath,amsfonts}
\usepackage{pgf,tikz,pgfplots}
\usetikzlibrary{calc}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture} [scale=1.2]
\small
\draw (0,0) circle (1cm);
\draw (-0.866,0.5) arc (1... | https://arxiv.org/abs/1906.10950 | arxiv | 2019-07-04T02:15:12 | |
Tropical Voronoi diagram of five points in R^3/R1. The decomposition of Voronoi regions into semi-polytropes is shown by dashed lines | \documentclass[11pt,a4paper]{amsart}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amsthm,amsmath,amsfonts}
\usepackage{pgf,tikz,pgfplots}
\usetikzlibrary{calc}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}[scale=1, x={(-0.95cm,-0.5cm)},y={(0.95cm,-0.5cm)}, z={(0cm,1cm)}]
\tikzse... | https://arxiv.org/abs/1906.10950 | arxiv | 2019-07-04T02:15:12 | |
The tropical 3-ball B^3, with the conical hull of a facet highlighted | \documentclass[11pt,a4paper]{amsart}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amsthm,amsmath,amsfonts}
\usepackage{pgf,tikz,pgfplots}
\usetikzlibrary{calc}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}[line cap=round,line join=round,>=triangle 45,x=1.0cm,y=1.0cm]
\clip(-2.5,-2.5... | https://arxiv.org/abs/1906.10950 | arxiv | 2019-07-04T02:15:12 | |
The bisection fan, F_bis^d, for d=2. The three vectors b-a for Figure~tikz:bisectors have been marked. | \documentclass[11pt,a4paper]{amsart}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amsthm,amsmath,amsfonts}
\usepackage{pgf,tikz,pgfplots}
\usetikzlibrary{calc}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}[scale=2]\scriptsize
\foreach \x in {0,60,...,300} {
\draw [gray, ul... | https://arxiv.org/abs/1906.10950 | arxiv | 2019-07-04T02:15:12 | |
The fans F(B^3), F(A_3), and the bisection fan F_bop^3. | \documentclass[11pt,a4paper]{amsart}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amsthm,amsmath,amsfonts}
\usepackage{pgf,tikz,pgfplots}
\usetikzlibrary{calc}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}[x = {(0.949970699338162cm,-0.0509944119960769cm)},
y = ... | https://arxiv.org/abs/1906.10950 | arxiv | 2019-07-04T02:15:12 | |
Sketch of the total particle density of the three =0 solutions for d=3,4, ^*. | \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[->] (-1,0) -- (5,0) node[below right]{$\mu+\a... | https://arxiv.org/abs/1809.03387 | arxiv | 2018-09-11T02:21:02 |
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