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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A typical pair production of two resonances A_1 and A_2 having masses m_A_1 and m_A_2 decaying semi-invisibly in a collider. p_i is a sum of momenta of the visible particles from the resonance A_i. q_i is a momentum of the invisible particle from the resonance A_i. A system having semi-invisibly decaying N resonances c... | \documentclass[11pt, a4paper]{article}
\usepackage{tikz}
\usetikzlibrary{patterns}
\usetikzlibrary{decorations.pathreplacing}
\begin{document}
\begin{tikzpicture}
%incoming proton
\draw (-0.5,0.5) -- (-2,0.5);
\draw (-0.5,0.55) -- (-2,0.55);
\draw (-0.5,0.45) -- (-2,0.45);
\node[draw=none] at (-2.2,0.5) {$p$};
\draw ... | https://arxiv.org/abs/1603.01981 | arxiv | 2016-08-24T02:02:21 | |
Flow diagram of the bi-LSTM character sequence labeling model, unrolled for time, for the word pair jn -- ihn `him'. | \documentclass[11pt]{article}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{arrows,positioning}
\usepackage{pgfplots}
\pgfplotsset{compat=1.5}
\newcommand{\bos}{\_}
\newcommand{\eps}{$\epsilon$}
\begin{document}
\begin{tikzpicture}[scale=0.77,transform shape,>=stealth',auto]
\... | https://arxiv.org/abs/1610.07844 | arxiv | 2016-10-26T02:05:18 | |
RDF graph. | \documentclass[letterpaper,10pt]{paper}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
\begin{scope}[auto, every node/.style={draw,circle,minimum size=2em,inner sep=1},node distance=2cm]
\def\margin {8}
\node[draw,circle](a) at (0,0) {\tex... | https://arxiv.org/abs/1606.01441 | arxiv | 2016-07-13T02:03:54 | |
An example for our localization terminology. Here we have 3 levels of localization with L_0 = 2, L_1 = 3 and L_2 = 5. The marked subproblem (in green) can be addressed by a tuple (1,1,3) where each index respectively denotes its position in the hierarchical structure. | \documentclass[format=acmsmall, review=false, screen=true]{acmart}
\usepackage{tikz}
\usetikzlibrary{shapes.misc, positioning}
\usetikzlibrary{fit}
\usepackage{amsmath}
\begin{document}
\begin{tikzpicture}[every node/.style={thick,rectangle,inner sep=0pt}]
\def\dx{1}
\def\a{0}
\def\recx{0.15}
\def\recy{0.75}
\node (a... | https://arxiv.org/abs/1701.01189 | arxiv | 2017-01-06T02:01:45 | |
RDF graph. | \documentclass[letterpaper,10pt]{paper}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
\begin{scope}[auto, every node/.style={draw,circle,minimum size=2em,inner sep=1},node distance=2cm]
\def\margin {8}
\node[draw,circle](a) at (0,0) {\tex... | https://arxiv.org/abs/1606.01441 | arxiv | 2016-07-13T02:03:54 | |
Universal Construction C(G) | \documentclass[11pt]{article}
\usepackage{amsmath, amsthm, amsfonts, amssymb}
\usepackage{tikz}
\usepackage{tikz-3dplot}
\usetikzlibrary{calc,positioning,fit,backgrounds}
\begin{document}
\begin{tikzpicture}[>=latex]
\tikzstyle{gate}=[rectangle, thick, fill=white, minimum size=0.5cm, draw, align=center]
\tikzstyle{do... | https://arxiv.org/abs/1603.03999 | arxiv | 2016-11-23T02:02:27 | |
Each row of H belongs to a different bucket. Results from different subproblems in different levels are added together to form a lower level bucket count. This process is continued until reaching the first level where H is completed. | \documentclass[format=acmsmall, review=false, screen=true]{acmart}
\usepackage{tikz}
\usetikzlibrary{shapes.misc, positioning}
\usetikzlibrary{fit}
\usepackage{amsmath}
\begin{document}
\begin{tikzpicture}[every node/.style={thick,rectangle,inner sep=0pt}]
\def\recB{3.5}
\def\recX{3.5}
\def\recXX{3.5}
\def\recXXX{3.5... | https://arxiv.org/abs/1701.01189 | arxiv | 2017-01-06T02:01:45 | |
Decomposition of the lattice in the definitions of local approximate quantum error correction. B shields A from C by a distance at least , and R represents the purifying space of the code. | \documentclass[pra,aps,floatfix,superscriptaddress,11pt,tightenlines,longbibliography,onecolumn,notitlepage]{revtex4-1}
\usepackage{amsmath, amsfonts, amssymb, amsthm, braket, bbm, xcolor}
\usepackage{tikz}
\usepackage[pdftex,colorlinks=true,linkcolor=darkblue,citecolor=darkred,urlcolor=blue]{hyperref}
\begin{document... | https://arxiv.org/abs/1610.06169 | arxiv | 2016-10-20T02:08:59 | |
Construction of the largest correctable square by successively adding rings of size at most d. | \documentclass[pra,aps,floatfix,superscriptaddress,11pt,tightenlines,longbibliography,onecolumn,notitlepage]{revtex4-1}
\usepackage{amsmath, amsfonts, amssymb, amsthm, braket, bbm, xcolor}
\usepackage{tikz}
\usepackage[pdftex,colorlinks=true,linkcolor=darkblue,citecolor=darkred,urlcolor=blue]{hyperref}
\begin{document... | https://arxiv.org/abs/1610.06169 | arxiv | 2016-10-20T02:08:59 | |
Decomposition of the lattice used for Theorem~thm:logical-operator-tradeoff. | \documentclass[pra,aps,floatfix,superscriptaddress,11pt,tightenlines,longbibliography,onecolumn,notitlepage]{revtex4-1}
\usepackage{amsmath, amsfonts, amssymb, amsthm, braket, bbm, xcolor}
\usepackage{tikz}
\usepackage[pdftex,colorlinks=true,linkcolor=darkblue,citecolor=darkred,urlcolor=blue]{hyperref}
\begin{document... | https://arxiv.org/abs/1610.06169 | arxiv | 2016-10-20T02:08:59 | |
Decomposition of the lattice in 2D used to define flexible logical operators. The diameter of the disk Z is . | \documentclass[pra,aps,floatfix,superscriptaddress,11pt,tightenlines,longbibliography,onecolumn,notitlepage]{revtex4-1}
\usepackage{amsmath, amsfonts, amssymb, amsthm, braket, bbm, xcolor}
\usepackage{tikz}
\usepackage[pdftex,colorlinks=true,linkcolor=darkblue,citecolor=darkred,urlcolor=blue]{hyperref}
\begin{document... | https://arxiv.org/abs/1610.06169 | arxiv | 2016-10-20T02:08:59 | |
Decomposition of the lattice in 2D leading to the tradeoff bound of Theorem thm:ABPT. | \documentclass[pra,aps,floatfix,superscriptaddress,11pt,tightenlines,longbibliography,onecolumn,notitlepage]{revtex4-1}
\usepackage{amsmath, amsfonts, amssymb, amsthm, braket, bbm, xcolor}
\usepackage{tikz}
\usepackage[pdftex,colorlinks=true,linkcolor=darkblue,citecolor=darkred,urlcolor=blue]{hyperref}
\begin{document... | https://arxiv.org/abs/1610.06169 | arxiv | 2016-10-20T02:08:59 | |
Starting from _0 = 1_\{0\}, following the arrows, if U_1^0 < _2_1 and U_2^0 < _2_1, the wild population occupies at time t the set H_t = \{-1,0,1\} in the asymmetric case and the set H_t=\{-2,-1,0,1\} in the symmetric case. | \documentclass[reqno,12pt]{amsart}
\usepackage{amsmath,amssymb}
\usepackage{mathtools,multicol,enumitem,tikz,caption}
\begin{document}
\begin{tikzpicture}
\draw[help lines,line width=2pt,step=2,draw=black] (-4,0) to (6,0);
\draw[help lines,line width=1pt,step=2,draw=black] (-4,8) to (6,8);
\draw[help lines,line width... | https://arxiv.org/abs/1501.00921 | arxiv | 2015-08-27T02:01:22 | |
Random environment on vertices | \documentclass[reqno,12pt]{amsart}
\usepackage{amsmath,amssymb}
\usepackage{mathtools,multicol,enumitem,tikz,caption}
\begin{document}
\begin{tikzpicture} [domain=0:10, scale=0.6, baseline=0, >=stealth]
\node (0) at (-4,0) [draw, circle={4pt}]{$k-2$};
\node (1) at (0,0) [draw, circle={4pt}]{$k-1$};
\node (2)... | https://arxiv.org/abs/1501.00921 | arxiv | 2015-08-27T02:01:22 | |
Random environment on oriented edges | \documentclass[reqno,12pt]{amsart}
\usepackage{amsmath,amssymb}
\usepackage{mathtools,multicol,enumitem,tikz,caption}
\begin{document}
\begin{tikzpicture} [domain=0:10, scale=0.6, baseline=0, >=stealth]
\node (0) at (-4,0) [draw, circle={4pt}]{$k-2$};
\node (1) at (0,0) [draw, circle={4pt}]{$k-1$};
\node (2)... | https://arxiv.org/abs/1501.00921 | arxiv | 2015-08-27T02:01:22 | |
Good partial embeddings form embeddings when restricted to the mapped vertices x,x' and guarantee sizes and regularity for the underlying restriction sets of unmapped vertices y,y',z. The thick lines are edges of G, the wavy lines of , and the hatched areas represent regular pairs in G. | \documentclass[a4paper,reqno,oneside,final]{amsbook}
\usepackage{amsmath,amsfonts,amssymb,amsthm,mathrsfs}
\usepackage{tikz}
\usetikzlibrary{decorations.pathmorphing}
\tikzset{snake it/.style={decorate, decoration={snake,segment length=1.5mm,amplitude=0.5mm}}}
\usetikzlibrary{patterns}
\usepackage[colorlinks,bookmarks,... | https://arxiv.org/abs/1612.00622 | arxiv | 2016-12-06T02:12:07 | |
A retraction from a self-map | \documentclass{amsart}
\usepackage{mathpartir,mathtools,amsmath,amssymb,phonetic,aliascnt,ifmtarg,enumitem,scalefnt}
\usepackage{xcolor}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[>=stealth]
\draw (0,0) circle (2);
\node[circle,fill,inner sep=1pt,label=below:$f(z)$] (fz) ... | https://arxiv.org/abs/1509.07584 | arxiv | 2017-04-26T02:05:12 | |
Timings of three Poisson segmentation algorithms on simulated data sets of varying size B. The grey shaded area represents the range of problem sizes selected in the McGill benchmark data sets. | \documentclass{article}
\usepackage{tikz}
\usepackage{amsmath,amssymb,amsthm}
\begin{document}
\begin{tikzpicture}[x=1pt,y=1pt]
\definecolor[named]{fillColor}{rgb}{1.00,1.00,1.00}
\path[use as bounding box,fill=fillColor,fill opacity=0.00] (0,0) rectangle (361.35,144.54);
\begin{scope}
\path[clip] ( 0.00, 0.00) rec... | https://arxiv.org/abs/1506.01286 | arxiv | 2015-06-04T02:11:44 | |
Type 1 incoherent FFL composed of p53, miR-34a and MDM2 | \documentclass[12pt]{article}
\usepackage[]{tikz}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}[ ->,>=stealth']
\path (2,5) node (p53) {p53};
\path (2,3) node (miR-34a) {miR-34a};
\path (2,1) node (MDM2) {MDM2};
\draw[thick, ->] (p53) -- (miR-34a);
\draw[thick, -|] (miR-34a) -- (MDM2);
\dr... | https://arxiv.org/abs/1608.02756 | arxiv | 2016-08-11T02:05:08 | |
Graphic model of transferred factorisation machines. | \documentclass{llncs}
\usepackage{amsmath,amssymb,amscd,epsfig,amsfonts,rotating}
\usepackage{xcolor, colortbl}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usetikzlibrary{fit}
\newcommand{\bs}{\boldsymbol}
\newcommand{\tweb}{\text{c}}
\newcommand{\td}{\text{d}}
\newcommand{\tads}{\text{r}}
\begin{document}
\begin{... | https://arxiv.org/abs/1601.02377 | arxiv | 2016-01-12T02:12:11 | |
The graph G=g_3(G_1,G_2) | \documentclass[12pt]{article}
\usepackage{amsmath,pgf,tikz,tkz-graph}
\usetikzlibrary{arrows}
\usepackage{amssymb}
\begin{document}
\begin{tikzpicture}[scale=1]
\renewcommand*{\VertexSmallMinSize}{1.5pt}
\renewcommand*{\VertexInnerSep}{1.5pt}
\GraphInit[vstyle=Classic]
\Vertex[x=1, y=5,Lpos=90,Math,L=u_1]{A}
\Vertex[... | https://arxiv.org/abs/1508.07526 | arxiv | 2015-09-03T02:09:55 | |
The graph G=G_1 G_2 G_3 G_4 G_5 | \documentclass[12pt]{article}
\usepackage{amsmath,pgf,tikz,tkz-graph}
\usetikzlibrary{arrows}
\usepackage{amssymb}
\begin{document}
\begin{tikzpicture}[scale=0.6]
\renewcommand*{\VertexSmallMinSize}{1.pt}
\renewcommand*{\VertexInnerSep}{1.pt}
\GraphInit[vstyle=Classic]
\Vertex[x=8.02, y=4.18,Lpos=90,Math,L=u_1]{u_1}
... | https://arxiv.org/abs/1508.07526 | arxiv | 2015-09-03T02:09:55 | |
An undirected graph representing interpersonal ties (edges) between users (nodes). | \documentclass[runningheads,a4paper]{llncs}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{chains,positioning,scopes}
\usepackage{xcolor}
\begin{document}
\begin{tikzpicture}[every node/.style={circle}, node distance=20mm, >=latex]
\node[](b) at (0,2)[draw,fill,label=left: $a$] {};
\node[... | https://arxiv.org/abs/1508.07951 | arxiv | 2016-04-26T02:09:38 | |
A simple graph | \documentclass{elsarticle}
\usepackage[T1]{fontenc}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{colortbl}
\usepackage{amsmath}
\begin{document}
\begin{tikzpicture}
\tikzstyle{noeud}=[draw, circle, minimum height=0.55cm, minimum
width=0.55cm, inner sep=0pt]
\node[noeud] (A) at (-2, 2) {$a$};
\node[noeud]... | https://arxiv.org/abs/1609.02726 | arxiv | 2016-09-12T02:03:19 | |
IDEAL characterization of local isometry classes of regular FLRW spacetimes (Theorem~thm_FLRW_class, Table~tab_FLRW_class). | \documentclass{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{color}
\usepackage[usenames,dvipsnames]{xcolor}
\usepackage{tikz}
\usetikzlibrary{shapes,arrows}
\usepackage[colorlinks=true,linkcolor=blue,citecolor=red,urlcolor=Violet,bookmarksdepth=subsection,final]{hyperref}
\newcommand{\FLRW}{\mathit{F... | https://arxiv.org/abs/1704.05542 | arxiv | 2017-05-24T02:02:55 | |
Pair Hidden Markov model as proposed by Mackay \& Kondrak MackayKondrak2005. The states of the model are depicted as the circles. The arrows show the possible transitions between the states. <, , , _M, _XY> represent the transition probabilities. | \documentclass[11pt,a4paper]{article}
\usepackage{amsmath}
\usepackage{tikz}
\usepackage[utf8]{inputenc}
\usetikzlibrary{arrows,automata,shapes}
\begin{document}
\begin{tikzpicture}[->,>=stealth',shorten >=1pt,auto,node distance=3cm,
semithick, scale=0.8, every node/.style={transform shape}]
\ti... | https://arxiv.org/abs/1702.04938 | arxiv | 2017-02-17T02:04:17 | |
E_P() for GL_3 when M_0=A. | \documentclass[11pt, a4paper]{amsart}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{amsmath, amsthm, amssymb, amscd}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[scale=0.6,every node/.style={scale=0.8}]
\draw (0.75,-1.3)--(-0.25,-1.3);
\draw (0.75,-1.3)--(1.25,-0.4);
\draw (1.25,-0.4)-... | https://arxiv.org/abs/1701.03202 | arxiv | 2017-01-13T02:02:18 | |
Partition of a_A^G for GL_3. | \documentclass[11pt, a4paper]{amsart}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{amsmath, amsthm, amssymb, amscd}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[scale=0.6]
\draw (-2.5,3.17)--(0.5,3.17);
\draw (-4,0.57)--(-1.5,-3.75);
\draw (1.5,-3.75)--(3,-1.15);
\draw (-4,0.57)--(-2.... | https://arxiv.org/abs/1701.03202 | arxiv | 2017-01-13T02:02:18 | |
Arthur-Kottwitz reduction when applying A__\{3\}^G,M_\{3\}. | \documentclass[11pt, a4paper]{amsart}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{amsmath, amsthm, amssymb, amscd}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[every node/.style={scale=0.8}]
\draw (4.75,-1.25)--(-4.25,-1.25);
\draw (-4.25,-1.25)--(-5.25,0.45);
\draw (-5.25,0.45)--(-4... | https://arxiv.org/abs/1701.03202 | arxiv | 2017-01-13T02:02:18 | |
Complete the hexagon to a triangle. | \documentclass[11pt, a4paper]{amsart}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{amsmath, amsthm, amssymb, amscd}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[node distance = 2cm, scale=0.6]
\draw (-5.5, 3.17)--(5.5,3.17);
\draw (-5.5, 3.17)--(0,-6.35);
\draw (0,-6.35)--(5.5,3.17);
\... | https://arxiv.org/abs/1701.03202 | arxiv | 2017-01-13T02:02:18 | |
Counting points in the non-equivalued case. | \documentclass[11pt, a4paper]{amsart}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{amsmath, amsthm, amssymb, amscd}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[scale=0.6, every node/.style={scale=0.7}]
\draw (5.18,3)--(-5.18,3);
\draw (-5.18,3)--(0,-6);
\draw (0,-6)--(5.18,3);
... | https://arxiv.org/abs/1701.03202 | arxiv | 2017-01-13T02:02:18 | |
Counting points in the equivalued case. | \documentclass[11pt, a4paper]{amsart}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{amsmath, amsthm, amssymb, amscd}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[scale=0.5, every node/.style={scale=0.7}]
\draw [dashed] (-4.03,-0.33)--(2.88,3.67);
\draw [dashed] (-2.01,-3.83)--(4.03,-0.... | https://arxiv.org/abs/1701.03202 | arxiv | 2017-01-13T02:02:18 | |
The (G,A)-orthogonal family _n_1,n_2 and its extension to a triangle. | \documentclass[11pt, a4paper]{amsart}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{amsmath, amsthm, amssymb, amscd}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[scale=0.6, every node/.style={scale=0.7}]
\draw [dashed] (-0.58,3)--(5.18,3);
\draw [dashed] (2.3,-2)--(5.18,3);
\draw (-... | https://arxiv.org/abs/1701.03202 | arxiv | 2017-01-13T02:02:18 | |
Counting points for ramified anisotropic gl_3(O)-second case. | \documentclass[11pt, a4paper]{amsart}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{amsmath, amsthm, amssymb, amscd}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[scale=0.5, every node/.style={scale=0.7}]
\draw [dashed] (-6.93,-4)--(6.93,4);
\draw [dashed] (0,-8)--(0,8);
\draw [dashed] ... | https://arxiv.org/abs/1701.03202 | arxiv | 2017-01-13T02:02:18 | |
Counting points for ramified anisotropic gl_3(O)-first case. | \documentclass[11pt, a4paper]{amsart}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{amsmath, amsthm, amssymb, amscd}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[scale=0.5, every node/.style={scale=0.7}]
\draw [dashed] (-6.93,-4)--(6.93,4);
\draw [dashed] (0,-8)--(0,8);
\draw [dashed] ... | https://arxiv.org/abs/1701.03202 | arxiv | 2017-01-13T02:02:18 | |
PSNR for Lena images depending on the choice of k' and the quantity of noise | \documentclass[a4paper,11pt]{article}
\usepackage{tikz}
\usepackage{amsmath}
\usepackage[utf8]{inputenc}
\begin{document}
\begin{tikzpicture}[scale=.2]
\draw[thin] (0,0) node[left] {\tiny$10$} -- (50,0);
\draw[thin] (0,5) node[left] {\tiny$15$};
\draw[thin] (0,10) node[left] {\tiny$20$};
\draw[thin] (0,15) node[left]... | https://arxiv.org/abs/1412.1680 | arxiv | 2015-04-08T02:11:34 | |
(s,t)=12 | \documentclass[envcountsame]{llncs}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usepackage{color}
\usetikzlibrary{calc,arrows,positioning}
\usepackage[amsmath]{ntheorem}
\begin{document}
\begin{tikzpicture}[->,>=stealth,auto,node distance=1.7cm,semithick,scale=1,every node/.style={scale=1}]
\tikzsty... | https://arxiv.org/abs/1509.03391 | arxiv | 2015-09-14T02:04:47 | |
The blinker surrounded by a wall of `bricks', which protect it from uncontrolled perturbations from its environment. | \documentclass[11pt,a4paper]{article}
\usepackage{amssymb,fullpage,graphicx,url,amsmath}
\usepackage{tikz,url}
\begin{document}
\begin{tikzpicture}
\draw[step=1cm,gray,very thin] (-3,-3) grid (6,6);
\fill[black!40!white] (1,1) rectangle (2,2);
\fill[black!40!white] (0,1) rectangle (1,2);
\fill[black!40!white] (2,1) r... | https://arxiv.org/abs/1701.01591 | arxiv | 2017-01-09T02:04:45 | |
Beam of 3 propagating particles which implement the turning on and off of the blue target cell 3 times. | \documentclass[11pt,a4paper]{article}
\usepackage{amssymb,fullpage,graphicx,url,amsmath}
\usepackage{tikz,url}
\begin{document}
\begin{tikzpicture}
\draw[step=2cm,black,thin] (0,0) grid (10,10);
\draw[red,thin] (1,0) -- (1,10);
\draw[red,thin] (3,0) -- (3,10);
\draw[red,thin] (5,0) -- (5,10);
\draw[red,thin] (7,0) --... | https://arxiv.org/abs/1701.01591 | arxiv | 2017-01-09T02:04:45 | |
Free particle propagation in Schaeffer's physically universal CA: the configuration on the left turns into the one in the middle by applying Rule (2) to the red partitioning. The middle configuration turns into the right one by applying the same rule to the black partitioning. | \documentclass[11pt,a4paper]{article}
\usepackage{amssymb,fullpage,graphicx,url,amsmath}
\usepackage{tikz,url}
\begin{document}
\begin{tikzpicture}
\draw[step=2cm,black,thin] (0,0) grid (4,4);
\draw[red,thin] (1,0) -- (1,4);
\draw[red,thin] (3,0) -- (3,4);
\draw[red,thin] (0,1) -- (4,1);
\draw[red,thin] (0,3) -- (4,3... | https://arxiv.org/abs/1701.01591 | arxiv | 2017-01-09T02:04:45 | |
Geometric construction to compute the rate of injectivity: the green points are the elements of , the blue parallelogram is a fundamental domain of and the grey squares are centred on the points of and have radii 1/2. The rate of injectivity is equal to the area of the intersection between the union of the grey squares... | \documentclass[reqno, 11pt]{amsart}
\usepackage[latin1]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{pgf,tikz}
\usetikzlibrary{decorations.pathreplacing, shapes.multipart, arrows, matrix}
\usepackage[pdftex,colorlinks=true,linkcolor=blue,citecolor=blue,urlcolor=blue]{hyperref... | https://arxiv.org/abs/1510.00723 | arxiv | 2015-10-06T02:00:35 | |
A setup for head-to-head cyber security combat. | \documentclass[10pt, titlepage, twocolumn]{article}
\usepackage{tikz}
\usepackage{pgfplots}
\usepackage{pgfplotstable}
\usepackage{xcolor}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{amssymb}
\pgfplotsset{compat=newest}
\usepgfplotslibrary{units}
\newcommand{\drawPlayers}{
\draw (0,3) circle (.5... | https://arxiv.org/abs/1703.04874 | arxiv | 2017-03-16T01:06:11 | |
Illustration of the cost-to-go function approximation by SDDP | \documentclass[12 pt]{article}
\usepackage[T1]{fontenc}
\usepackage[latin1,utf8]{inputenc}
\usepackage{amssymb,amsmath}
\usepackage{color}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[scale =0.7]
\draw[->](0,0)--(0,8); \draw[->](0,0)--(9,0); \draw(10,0) node{$\text{State}$}; \draw(0,8.5) node{$\text{Cost-to... | https://arxiv.org/abs/1604.08189 | arxiv | 2016-04-28T02:14:41 | |
9-bus system configuration | \documentclass[12 pt]{article}
\usepackage[T1]{fontenc}
\usepackage[latin1,utf8]{inputenc}
\usepackage{amssymb,amsmath}
\usepackage{color}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[scale=0.9]
\draw (0,0) circle(0.3); \draw(0.,-0.05) node{$\sim$}; \draw(0,-0.5) node{$\text{\tiny{G2}}$}; \draw (0.3,0.)--(... | https://arxiv.org/abs/1604.08189 | arxiv | 2016-04-28T02:14:41 | |
A graph with ||=2. With u(v_0)=0, u(v_1)=1 and all energies equal, the underlying number field is Q(5). | \documentclass[12pt]{article}
\usepackage{amsmath,amssymb,amsfonts,amsthm,bbm,graphicx,color,tikz}
\begin{document}
\begin{tikzpicture}
\matrix (m) [row sep = 8em, column sep = 5em]
{
\begin{scope}[scale=.5]
\draw (0,0) -- (2,3) -- (0,6) -- (-2,3) --cycle;
\draw (2,3) to (-2,3);
\draw[fill] (0,0) circle (3pt);
\draw[... | https://arxiv.org/abs/1505.05785 | arxiv | 2017-03-14T01:13:02 | |
Illustration for Example~example:common end. | \documentclass[11pt]{amsart}
\usepackage{amsthm,amsmath,amssymb,url}
\usepackage{xcolor}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[scale=5]
\draw (0,1) node[anchor=east]{$a$} -- (1,0) node[anchor=west]{$b$}-- (0,0)node[anchor=east]{$c$} -- cycle;
\filldraw[fill=black!20!white] (0.5,0) -- (0.3333,0.3333) ... | https://arxiv.org/abs/1610.01900 | arxiv | 2016-10-07T02:05:34 | |
Some boundary faces in a portion of an open planar trivalent graph. The boundary region which is a small neighborhood of faces A, B, C, and D is a growth region -- it has five edges meeting the boundary and two which don't. The boundary region which is a small neighborhood of B and C is not a growth region --- it has t... | \documentclass[12pt]{amsart}
\usepackage{amsmath,amssymb,amsfonts,amsthm}
\usepackage{tikz}
\usetikzlibrary{calc}
\usepackage{tikz-qtree}
\usetikzlibrary{backgrounds}
\begin{document}
\begin{tikzpicture}
\draw[dashed] (2,0) arc (0:180:2cm);
\draw (10:2cm) -- (30:1cm) -- (50:2cm);
\draw (170:2cm) -- (150:1cm) -- (130:... | https://arxiv.org/abs/1501.06869 | arxiv | 2016-07-21T02:07:05 | |
Hasse-diagram of Szondi's signatures | \documentclass{article}
\usepackage{amsmath,amssymb,array,multirow,tikz,tikz-cd,rotating}
\usetikzlibrary{arrows,automata}
\begin{document}
\begin{tikzpicture}
\node (pbbb) at (0,4) {$+!!!$};
\node (pbb) at (0,3) {$+!!$};
\node (pb) at (0,2) {$+!$};
\node (p) at (0,1) {$+$};
\node (n) at (0,0) {$0$};
\node (m) ... | https://arxiv.org/abs/1405.0877 | arxiv | 2014-05-06T02:15:50 | |
Graph G and the resulting graph G' | \documentclass[]{llncs}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{backgrounds}
\pgfdeclarelayer{myback}
\pgfsetlayers{background,myback,main}
\begin{document}
\begin{tikzpicture}[]
\tikzstyle{vert}=[circle,draw=black,fill=white,inner sep=1.5pt, minimum size=20]
\node[vert] (a1) at ... | https://arxiv.org/abs/1507.03885 | arxiv | 2015-07-15T02:10:40 | |
The bridge network. | \documentclass[11pt]{article}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}\label{rr}[node distance = 5 cm]
\tikzset{LabelStyle/.style = {semithick,fill= white, text=black}}
\node[scale=0.9,semithick,shape = circle,draw, fill= black, text= white, inner sep =2pt, ou... | https://arxiv.org/abs/1507.04143 | arxiv | 2015-07-16T02:07:17 | |
(Left) With perfect play, the first player wins with any opening move except the corners, which tie. (Right) A more delicate position with black to play. The full strong solution can be explored at http://perfect-pentago.net. | \documentclass[conference]{IEEEtran}
\usepackage[cmex10]{amsmath}
\usepackage{color}
\usepackage{amsfonts,amssymb,amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}
\definecolor{win} {rgb}{0,1,0};
\definecolor{tie} {rgb}{0,0,1};
\definecolor{loss}{rgb}{1,0,0};
\tikzstyle{kin... | https://arxiv.org/abs/1404.0743 | arxiv | 2014-04-07T02:02:53 | |
Each section is a 4D array of functions f_abcd : L \{-1,0,1\}. Each dimension corresponds to all patterns of stones in one of the four quadrants with fixed counts of black and white stones, including only patterns lexicographically minimal under rotation. For each (a,b,c,d) describing the four quadrants of a board, f_a... | \documentclass[conference]{IEEEtran}
\usepackage[cmex10]{amsmath}
\usepackage{color}
\usepackage{amsfonts,amssymb,amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale=1.1]
\definecolor{tan}{rgb}{.8235,.7059,.549}
\begin{scope}[shift={(0.5,0.5)}]
\fill[white] (0,0) rectan... | https://arxiv.org/abs/1404.0743 | arxiv | 2014-04-07T02:02:53 | |
The first graph considered in Case~3, with (a,b,c)=(3,4,4). | \documentclass[11pt,a4paper]{article}
\usepackage[utf8]{inputenc}
\usepackage{amsmath,amsthm,enumerate}
\usepackage{amssymb}
\usepackage{tikz}
\usepackage[color=blue!20]{todonotes}
\begin{document}
\begin{tikzpicture}[join=bevel,inner sep=0.6mm]
%main vertices
\node[draw,shape=circle,fill] (x) at (0,0) {};
\draw (x) ... | https://arxiv.org/abs/1610.03685 | arxiv | 2016-10-13T02:04:05 | |
A k-Sun graph | \documentclass[11pt]{article}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture} [scale=1]
\filldraw (-5.5+1.45 + 0.2,1.25 + 1.5 + 0.2 - 10.5) circle (2.1pt);
\filldraw (-5.5 - 1.45 - 0.2,1.25 + 1.5 + 0.2 - 10.5) circle (2.1pt);
\filldraw (-5.5 + 1.43 + 0.882,1.25 + 0.464 -1.1 - 10.5) circle (2.1pt... | https://arxiv.org/abs/1603.06099 | arxiv | 2016-03-22T01:06:21 | |
The relationship between entanglement, discord and coherence in composite quantum states Yao2015a, where ``Ent'' denotes entanglement. The hierarchical relation, C() D() E(), signifies that quantum coherence is a rather ubiquitous manifestation of quantum correlations. | \documentclass[american,aps,pra,reprint, superscriptaddress]{revtex4-1}
\usepackage[unicode=true,pdfusetitle, bookmarks=true,bookmarksnumbered=false,bookmarksopen=false, breaklinks=false,pdfborder={0 0 0},backref=false,colorlinks=false]{hyperref}
\usepackage{graphics,epstopdf,graphicx, amsthm, amsmath, amssymb, times, ... | https://arxiv.org/abs/1603.06322 | arxiv | 2016-07-29T02:02:59 | |
Example net. | \documentclass[preprint]{elsarticle}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usepackage[utf8]{inputenc}
\usetikzlibrary{arrows,shapes,snakes,automata,backgrounds,petri,calc,positioning}
\begin{document}
\begin{tikzpicture}[auto]
\node[place,label=$s_1$,tokens=1] (s1) {};
\node[place,l... | https://arxiv.org/abs/1507.06462 | arxiv | 2015-07-24T02:08:45 | |
Grafted metric on surface obtained via plumbing fixture. | \documentclass[12pt]{article}
\usepackage{tikz}
\usetikzlibrary{hobby}
\usepackage{pgfplots}
\pgfplotsset{compat=1.11}
\usepgfplotslibrary{fillbetween}
\usetikzlibrary{intersections}
\usepackage{epsfig,amsfonts,amssymb,setspace}
\usepackage{tikz-cd}
\usetikzlibrary{arrows, matrix}
\begin{document}
\begin{tikzpicture}... | https://arxiv.org/abs/1703.10563 | arxiv | 2017-03-31T02:07:52 | |
Two annuli having inner radius |t| and outer radius 1 obtained by removing a disc of radius |t| from D_1 and D_2 where t is a complex parameter. | \documentclass[12pt]{article}
\usepackage{tikz}
\usetikzlibrary{hobby}
\usepackage{pgfplots}
\pgfplotsset{compat=1.11}
\usepgfplotslibrary{fillbetween}
\usetikzlibrary{intersections}
\usepackage{epsfig,amsfonts,amssymb,setspace}
\usepackage{tikz-cd}
\usetikzlibrary{arrows, matrix}
\begin{document}
\begin{tikzpicture}... | https://arxiv.org/abs/1703.10563 | arxiv | 2017-03-31T02:07:52 | |
Complete geodesics that are disjoint from b_2,b_3 and orthogonal to b_1. | \documentclass[12pt]{article}
\usepackage{tikz}
\usetikzlibrary{hobby}
\usepackage{pgfplots}
\pgfplotsset{compat=1.11}
\usepgfplotslibrary{fillbetween}
\usetikzlibrary{intersections}
\usepackage{epsfig,amsfonts,amssymb,setspace}
\usepackage{tikz-cd}
\usetikzlibrary{arrows, matrix}
\begin{document}
\begin{tikzpicture}... | https://arxiv.org/abs/1703.10563 | arxiv | 2017-03-31T02:07:52 | |
Fundamental domain of collar is the region inside the annulus and wedge. | \documentclass[12pt]{article}
\usepackage{tikz}
\usetikzlibrary{hobby}
\usepackage{pgfplots}
\pgfplotsset{compat=1.11}
\usepgfplotslibrary{fillbetween}
\usetikzlibrary{intersections}
\usepackage{epsfig,amsfonts,amssymb,setspace}
\usepackage{tikz-cd}
\usetikzlibrary{arrows, matrix}
\begin{document}
\begin{tikzpicture}... | https://arxiv.org/abs/1703.10563 | arxiv | 2017-03-31T02:07:52 | |
Plumbing fixture of two surfaces at punctures p and q. | \documentclass[12pt]{article}
\usepackage{tikz}
\usetikzlibrary{hobby}
\usepackage{pgfplots}
\pgfplotsset{compat=1.11}
\usepgfplotslibrary{fillbetween}
\usetikzlibrary{intersections}
\usepackage{epsfig,amsfonts,amssymb,setspace}
\usepackage{tikz-cd}
\usetikzlibrary{arrows, matrix}
\begin{document}
\begin{tikzpicture}... | https://arxiv.org/abs/1703.10563 | arxiv | 2017-03-31T02:07:52 | |
Dual triangulation of the two-dimensional moduli space. Each co-dimension one face (i.e. an edge) is shared by two polyhedra and each co-dimension two face (i.e. a vertex) is shared by three polyhedra. | \documentclass[12pt]{article}
\usepackage{tikz}
\usetikzlibrary{hobby}
\usepackage{pgfplots}
\pgfplotsset{compat=1.11}
\usepgfplotslibrary{fillbetween}
\usetikzlibrary{intersections}
\usepackage{epsfig,amsfonts,amssymb,setspace}
\usepackage{tikz-cd}
\usetikzlibrary{arrows, matrix}
\begin{document}
\begin{tikzpicture}... | https://arxiv.org/abs/1703.10563 | arxiv | 2017-03-31T02:07:52 | |
Cone with infinite length representing the covering space M_0,4^. Thick gray circle having radius _2 corresponds to the range of twist parameter associated with curve having length _. | \documentclass[12pt]{article}
\usepackage{tikz}
\usetikzlibrary{hobby}
\usepackage{pgfplots}
\pgfplotsset{compat=1.11}
\usepgfplotslibrary{fillbetween}
\usetikzlibrary{intersections}
\usepackage{epsfig,amsfonts,amssymb,setspace}
\usepackage{tikz-cd}
\usetikzlibrary{arrows, matrix}
\begin{document}
\begin{tikzpicture}... | https://arxiv.org/abs/1703.10563 | arxiv | 2017-03-31T02:07:52 | |
Cutting the surface along curve _1+_2 produces a pair of pants and genus 1 surface with 5 borders. | \documentclass[12pt]{article}
\usepackage{tikz}
\usetikzlibrary{hobby}
\usepackage{pgfplots}
\pgfplotsset{compat=1.11}
\usepgfplotslibrary{fillbetween}
\usetikzlibrary{intersections}
\usepackage{epsfig,amsfonts,amssymb,setspace}
\usepackage{tikz-cd}
\usetikzlibrary{arrows, matrix}
\begin{document}
\begin{tikzpicture}... | https://arxiv.org/abs/1703.10563 | arxiv | 2017-03-31T02:07:52 | |
Cone with infinite length representing the covering space M_1,1^. Thick gray circle having radius _2 corresponds to the range of twist parameter associated with curve having length _ | \documentclass[12pt]{article}
\usepackage{tikz}
\usetikzlibrary{hobby}
\usepackage{pgfplots}
\pgfplotsset{compat=1.11}
\usepgfplotslibrary{fillbetween}
\usetikzlibrary{intersections}
\usepackage{epsfig,amsfonts,amssymb,setspace}
\usepackage{tikz-cd}
\usetikzlibrary{arrows, matrix}
\begin{document}
\begin{tikzpicture}... | https://arxiv.org/abs/1703.10563 | arxiv | 2017-03-31T02:07:52 | |
Cutting the surface along curve =_1+_2. | \documentclass[12pt]{article}
\usepackage{tikz}
\usetikzlibrary{hobby}
\usepackage{pgfplots}
\pgfplotsset{compat=1.11}
\usepgfplotslibrary{fillbetween}
\usetikzlibrary{intersections}
\usepackage{epsfig,amsfonts,amssymb,setspace}
\usepackage{tikz-cd}
\usetikzlibrary{arrows, matrix}
\begin{document}
\begin{tikzpicture}... | https://arxiv.org/abs/1703.10563 | arxiv | 2017-03-31T02:07:52 | |
Cutting the surface along curve _2 produces a pair of pants and a genus 2 surface with 3 borders. | \documentclass[12pt]{article}
\usepackage{tikz}
\usetikzlibrary{hobby}
\usepackage{pgfplots}
\pgfplotsset{compat=1.11}
\usepgfplotslibrary{fillbetween}
\usetikzlibrary{intersections}
\usepackage{epsfig,amsfonts,amssymb,setspace}
\usepackage{tikz-cd}
\usetikzlibrary{arrows, matrix}
\begin{document}
\begin{tikzpicture}... | https://arxiv.org/abs/1703.10563 | arxiv | 2017-03-31T02:07:52 | |
Cutting the surface along curve _1+_2 produces a pair of pants, a genus 1 surface with 3 borders and a genus 1 surface with 2 borders. | \documentclass[12pt]{article}
\usepackage{tikz}
\usetikzlibrary{hobby}
\usepackage{pgfplots}
\pgfplotsset{compat=1.11}
\usepgfplotslibrary{fillbetween}
\usetikzlibrary{intersections}
\usepackage{epsfig,amsfonts,amssymb,setspace}
\usepackage{tikz-cd}
\usetikzlibrary{arrows, matrix}
\begin{document}
\begin{tikzpicture}... | https://arxiv.org/abs/1703.10563 | arxiv | 2017-03-31T02:07:52 | |
Triangulation of the two-dimensional moduli space | \documentclass[12pt]{article}
\usepackage{tikz}
\usetikzlibrary{hobby}
\usepackage{pgfplots}
\pgfplotsset{compat=1.11}
\usepgfplotslibrary{fillbetween}
\usetikzlibrary{intersections}
\usepackage{epsfig,amsfonts,amssymb,setspace}
\usepackage{tikz-cd}
\usetikzlibrary{arrows, matrix}
\begin{document}
\begin{tikzpicture}... | https://arxiv.org/abs/1703.10563 | arxiv | 2017-03-31T02:07:52 | |
Curve on one punctured torus. | \documentclass[12pt]{article}
\usepackage{tikz}
\usetikzlibrary{hobby}
\usepackage{pgfplots}
\pgfplotsset{compat=1.11}
\usepgfplotslibrary{fillbetween}
\usetikzlibrary{intersections}
\usepackage{epsfig,amsfonts,amssymb,setspace}
\usepackage{tikz-cd}
\usetikzlibrary{arrows, matrix}
\begin{document}
\begin{tikzpicture}... | https://arxiv.org/abs/1703.10563 | arxiv | 2017-03-31T02:07:52 | |
Pair of pants decomposition of genus 2 surface with 3 punctures. P_i, denotes pair of pants with local coordinate z_i inside P_i for i=1,,5. D_i denote the disc around the i^th puncture having unit radius with respect to the local coordinate w_i defined around the i^th puncture for i=1,2,3. | \documentclass[12pt]{article}
\usepackage{tikz}
\usetikzlibrary{hobby}
\usepackage{pgfplots}
\pgfplotsset{compat=1.11}
\usepgfplotslibrary{fillbetween}
\usetikzlibrary{intersections}
\usepackage{epsfig,amsfonts,amssymb,setspace}
\usepackage{tikz-cd}
\usetikzlibrary{arrows, matrix}
\begin{document}
\begin{tikzpicture}... | https://arxiv.org/abs/1703.10563 | arxiv | 2017-03-31T02:07:52 | |
Vertical segment for a two dimensional moduli space. $s_i(m)$ and $s_j(m)$ are sections over $T_i$ and $T_j$. The definition of a vertical segment involves the choice of a curve $P_{ij}(m,v)$ in $\mathcal{R}(m^*)$ that connects sections $s_i(m^*)$ and $s_j(m^*)$ over $m^*\in B_{ij}$. For a fixed $m^*\in B_{ij}$, as the... | \documentclass[12pt]{article}
\usepackage{tikz}
\usetikzlibrary{hobby}
\usepackage{pgfplots}
\pgfplotsset{compat=1.11}
\usepgfplotslibrary{fillbetween}
\usetikzlibrary{intersections}
\usepackage{epsfig,amsfonts,amssymb,setspace}
\usepackage{tikz-cd}
\usetikzlibrary{arrows, matrix}
\begin{document}
\begin{tikzpicture}... | https://arxiv.org/abs/1703.10563 | arxiv | 2017-03-31T02:07:52 | |
Curves _2,_3 and _4 on sphere with four borders. | \documentclass[12pt]{article}
\usepackage{tikz}
\usetikzlibrary{hobby}
\usepackage{pgfplots}
\pgfplotsset{compat=1.11}
\usepgfplotslibrary{fillbetween}
\usetikzlibrary{intersections}
\usepackage{epsfig,amsfonts,amssymb,setspace}
\usepackage{tikz-cd}
\usetikzlibrary{arrows, matrix}
\begin{document}
\begin{tikzpicture}... | https://arxiv.org/abs/1703.10563 | arxiv | 2017-03-31T02:07:52 | |
Fenchel-Nielsen coordinate vector fields _i are the twist vector fields associated with curve C_i and Fenchel-Nielsen coordinate vector fields _i are the twist vector fields associated with curve C_i | \documentclass[12pt]{article}
\usepackage{tikz}
\usetikzlibrary{hobby}
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\usetikzlibrary{arrows, matrix}
\begin{document}
\begin{tikzpicture}... | https://arxiv.org/abs/1703.10563 | arxiv | 2017-03-31T02:07:52 | |
Cutting the surface along curve _1,1+_2,1 produces a pair of pants with one puncture and 2 borders, a genus 1 surface with 2 punctures and one border and a genus 1 surface with one puncture and one border. | \documentclass[12pt]{article}
\usepackage{tikz}
\usetikzlibrary{hobby}
\usepackage{pgfplots}
\pgfplotsset{compat=1.11}
\usepgfplotslibrary{fillbetween}
\usetikzlibrary{intersections}
\usepackage{epsfig,amsfonts,amssymb,setspace}
\usepackage{tikz-cd}
\usetikzlibrary{arrows, matrix}
\begin{document}
\begin{tikzpicture}... | https://arxiv.org/abs/1703.10563 | arxiv | 2017-03-31T02:07:52 | |
Cutting the surface along curve _2 produces a pair of pants with 2 punctures and one border and a genus 2 surface with 2 punctures and one border. | \documentclass[12pt]{article}
\usepackage{tikz}
\usetikzlibrary{hobby}
\usepackage{pgfplots}
\pgfplotsset{compat=1.11}
\usepgfplotslibrary{fillbetween}
\usetikzlibrary{intersections}
\usepackage{epsfig,amsfonts,amssymb,setspace}
\usepackage{tikz-cd}
\usetikzlibrary{arrows, matrix}
\begin{document}
\begin{tikzpicture}... | https://arxiv.org/abs/1703.10563 | arxiv | 2017-03-31T02:07:52 | |
Cutting the surface along curve _1,2+_2,2 produces a pair of pants with one puncture and 2 borders and genus 1 surface with 3 punctures and 2 borders. | \documentclass[12pt]{article}
\usepackage{tikz}
\usetikzlibrary{hobby}
\usepackage{pgfplots}
\pgfplotsset{compat=1.11}
\usepgfplotslibrary{fillbetween}
\usetikzlibrary{intersections}
\usepackage{epsfig,amsfonts,amssymb,setspace}
\usepackage{tikz-cd}
\usetikzlibrary{arrows, matrix}
\begin{document}
\begin{tikzpicture}... | https://arxiv.org/abs/1703.10563 | arxiv | 2017-03-31T02:07:52 | |
All curves _2, _1,1+_2,1, _1,2+_2,2 intersect each other. | \documentclass[12pt]{article}
\usepackage{tikz}
\usetikzlibrary{hobby}
\usepackage{pgfplots}
\pgfplotsset{compat=1.11}
\usepgfplotslibrary{fillbetween}
\usetikzlibrary{intersections}
\usepackage{epsfig,amsfonts,amssymb,setspace}
\usepackage{tikz-cd}
\usetikzlibrary{arrows, matrix}
\begin{document}
\begin{tikzpicture}... | https://arxiv.org/abs/1703.10563 | arxiv | 2017-03-31T02:07:52 | |
Mapping the fundamental domain of a torus to conformal plane using an automorphic function f(z) that us with respect to the group generated by the transformation z z+1. Functions h_i(w_i) denote the conformal mappings that maps a unit circle on w_i plane with centre at the origin to curve C_i for i=1,2. | \documentclass[12pt]{article}
\usepackage{tikz}
\usetikzlibrary{hobby}
\usepackage{pgfplots}
\pgfplotsset{compat=1.11}
\usepgfplotslibrary{fillbetween}
\usetikzlibrary{intersections}
\usepackage{epsfig,amsfonts,amssymb,setspace}
\usepackage{tikz-cd}
\usetikzlibrary{arrows, matrix}
\begin{document}
\begin{tikzpicture}... | https://arxiv.org/abs/1703.10563 | arxiv | 2017-03-31T02:07:52 | |
Pair of pants decomposition of genus 2 Riemann surface with four borders. | \documentclass[12pt]{article}
\usepackage{tikz}
\usetikzlibrary{hobby}
\usepackage{pgfplots}
\pgfplotsset{compat=1.11}
\usepgfplotslibrary{fillbetween}
\usetikzlibrary{intersections}
\usepackage{epsfig,amsfonts,amssymb,setspace}
\usepackage{tikz-cd}
\usetikzlibrary{arrows, matrix}
\begin{document}
\begin{tikzpicture}... | https://arxiv.org/abs/1703.10563 | arxiv | 2017-03-31T02:07:52 | |
Ordered coordinate geodesics and pair of pants. Thick gray curves are the coordinates geodesics. L_1 and L_2 are attaching geodesics and L_3 is handle geodesic. | \documentclass[12pt]{article}
\usepackage{tikz}
\usetikzlibrary{hobby}
\usepackage{pgfplots}
\pgfplotsset{compat=1.11}
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\usetikzlibrary{intersections}
\usepackage{epsfig,amsfonts,amssymb,setspace}
\usepackage{tikz-cd}
\usetikzlibrary{arrows, matrix}
\begin{document}
\begin{tikzpicture}... | https://arxiv.org/abs/1703.10563 | arxiv | 2017-03-31T02:07:52 | |
Correlation functions of a conformal field theory on a hyperbolic Riemann surface can be obtained by gluing path integrals over all the pairs of pants in a pair of pants decomposition of the surface. | \documentclass[12pt]{article}
\usepackage{tikz}
\usetikzlibrary{hobby}
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\pgfplotsset{compat=1.11}
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\usetikzlibrary{arrows, matrix}
\begin{document}
\begin{tikzpicture}... | https://arxiv.org/abs/1703.10563 | arxiv | 2017-03-31T02:07:52 | |
S and A-move | \documentclass[12pt]{article}
\usepackage{tikz}
\usetikzlibrary{hobby}
\usepackage{pgfplots}
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\usepgfplotslibrary{fillbetween}
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\usetikzlibrary{arrows, matrix}
\begin{document}
\begin{tikzpicture}... | https://arxiv.org/abs/1703.10563 | arxiv | 2017-03-31T02:07:52 | |
\documentclass[12pt]{article}
\usepackage{tikz}
\usetikzlibrary{hobby}
\usepackage{pgfplots}
\pgfplotsset{compat=1.11}
\usepgfplotslibrary{fillbetween}
\usetikzlibrary{intersections}
\usepackage{epsfig,amsfonts,amssymb,setspace}
\usepackage{tikz-cd}
\usetikzlibrary{arrows, matrix}
\begin{document}
\begin{tikzpicture}... | https://arxiv.org/abs/1703.10563 | arxiv | 2017-03-31T02:07:52 | ||
Mapping fundamental domain of Fuchsian uniformization corresponding to a pair of pants to conformal plane. Functions h_i(w_i) denote the conformal mapping that maps a unit circle on w_i plane with centre at the origin to curve C_i for i=1,2,3. | \documentclass[12pt]{article}
\usepackage{tikz}
\usetikzlibrary{hobby}
\usepackage{pgfplots}
\pgfplotsset{compat=1.11}
\usepgfplotslibrary{fillbetween}
\usetikzlibrary{intersections}
\usepackage{epsfig,amsfonts,amssymb,setspace}
\usepackage{tikz-cd}
\usetikzlibrary{arrows, matrix}
\begin{document}
\begin{tikzpicture}... | https://arxiv.org/abs/1703.10563 | arxiv | 2017-03-31T02:07:52 | |
The fundamental domain of Fuchsian uniformization corresponding to the genus 2 surface. | \documentclass[12pt]{article}
\usepackage{tikz}
\usetikzlibrary{hobby}
\usepackage{pgfplots}
\pgfplotsset{compat=1.11}
\usepgfplotslibrary{fillbetween}
\usetikzlibrary{intersections}
\usepackage{epsfig,amsfonts,amssymb,setspace}
\usepackage{tikz-cd}
\usetikzlibrary{arrows, matrix}
\begin{document}
\begin{tikzpicture}... | https://arxiv.org/abs/1703.10563 | arxiv | 2017-03-31T02:07:52 | |
\documentclass[12pt]{article}
\usepackage{tikz}
\usetikzlibrary{hobby}
\usepackage{pgfplots}
\pgfplotsset{compat=1.11}
\usepgfplotslibrary{fillbetween}
\usetikzlibrary{intersections}
\usepackage{epsfig,amsfonts,amssymb,setspace}
\usepackage{tikz-cd}
\usetikzlibrary{arrows, matrix}
\begin{document}
\begin{tikzpicture}... | https://arxiv.org/abs/1703.10563 | arxiv | 2017-03-31T02:07:52 | ||
An example of PhaseCode. Bins 1, 3, 5, 6 are singletons with singleton balls 1, 3, 5, 5, which can be found in the first iteration of PhaseCode algorithm. Then, the algorithm finds a strong doubleton: bin 2, and the relative phases between balls 1 and 3. In the next iteration, the algorithm finds a resolvable multiton ... | \documentclass[11pt]{article}
\usepackage[cmex10]{amsmath}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsmath,amssymb,euscript,mathrsfs,amsthm}
\usepackage{graphicx,color,subfig}
\usepackage{tikz}
\usetikzlibrary{automata,arrows,shapes,snakes,automata,backgrounds,petri}
\usepackage[latin... | https://arxiv.org/abs/1606.00531 | arxiv | 2016-06-03T02:05:16 | |
This figure gives an explicit example of minimal dominating sets, which are not maximal independent and an example of when _odd(G) < i_odd(G). | \documentclass[10pt]{amsart}
\usepackage{color}
\usepackage{tikz}
\usetikzlibrary{decorations.pathmorphing}
\usetikzlibrary{decorations.markings}
\usetikzlibrary{shapes,positioning}
\usetikzlibrary{patterns}
\begin{document}
\begin{tikzpicture} [every loop/.style={}]
\node [draw,circle] (A) at (4,0) {1};
\node [... | https://arxiv.org/abs/1505.02268 | arxiv | 2015-05-12T02:06:15 | |
The figure above characterizes a family of graphs produced by n vertices each only adjacent to u_1 and u_2, and the edge u_1u_2. This family of graphs is an example where the bounds in Proposition prop:EasyBounds, Proposition prop:CyDomBound and Proposition prop:CyIRBound are tight. In fact, up to an arbitrary subdivis... | \documentclass[10pt]{amsart}
\usepackage{color}
\usepackage{tikz}
\usetikzlibrary{decorations.pathmorphing}
\usetikzlibrary{decorations.markings}
\usetikzlibrary{shapes,positioning}
\usetikzlibrary{patterns}
\begin{document}
\begin{tikzpicture}[every loop/.style={}]
\draw (0,0) circle (.3) node (A) {$u_1$}
(4,0) circ... | https://arxiv.org/abs/1505.02268 | arxiv | 2015-05-12T02:06:15 | |
A de Bruijn torus for d=5, k=3, n=2, and G=Z/5Z, accompanied by some valid block patterns. | \documentclass{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{color}
\usepackage{tikz}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}[scale= 0.5 ]
\draw[step=1,help lines] (0,3) grid (14,6);
\draw[step=1,ultra thick, draw=red] (0,6) to (2,6) to (2,5) to (1,5) to (1,3) to (0,3) to (... | https://arxiv.org/abs/1505.04065 | arxiv | 2015-11-24T02:20:18 | |
Solution to problem from Figure DBGEx. | \documentclass{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{color}
\usepackage{tikz}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}[scale= 0.5 ]
\node[fill=black,inner sep=0.25cm,outer sep=0pt,anchor=south west] at (0,2) {};
\node[fill=black,inner sep=0.25cm,outer sep=0pt,anchor=south... | https://arxiv.org/abs/1505.04065 | arxiv | 2015-11-24T02:20:18 | |
De Bruijn grid and pattern to be located with corresponding connection graph. | \documentclass{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{color}
\usepackage{tikz}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}[-,>=stealth',auto,node distance=2cm,
thick,main node/.style={circle,draw,font=\sffamily\bfseries}, scale= 0.5 ]
\node[fill=black,inner sep=0.25cm,outer... | https://arxiv.org/abs/1505.04065 | arxiv | 2015-11-24T02:20:18 | |
The MDP Client | \documentclass[conference,final]{IEEEtran}
\usepackage{amssymb}
\usepackage{pgf}
\usepackage{tikz}
\usetikzlibrary{arrows,automata,positioning,calc}
\newcommand{\var}[1]{\textsf{#1}}
\begin{document}
\begin{tikzpicture}[->,>=stealth',shorten >=1pt,auto,node distance=5.5cm,
semithick]
\tikzstyle... | https://arxiv.org/abs/1605.05930 | arxiv | 2016-06-30T02:08:19 | |
Model graph and its model matrix | \documentclass[11pt,oneside,english]{amsart}
\usepackage[T1]{fontenc}
\usepackage[latin9]{inputenc}
\usepackage{amssymb}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[scale=0.05] \draw[fill] (0,0) circle [radius=1]; \draw[fill] (10,0) circle [radius=1]; \draw[fill] (20,0) circle [radius=1]; \draw[fill] (30,0... | https://arxiv.org/abs/1704.03189 | arxiv | 2017-04-12T02:05:11 | |
Random linear graph and its random matrix | \documentclass[11pt,oneside,english]{amsart}
\usepackage[T1]{fontenc}
\usepackage[latin9]{inputenc}
\usepackage{amssymb}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[scale=0.05] \draw[fill] (0,0) circle [radius=1]; \draw[fill] (10,0) circle [radius=1]; \draw[fill] (20,0) circle [radius=1]; \draw[fill] (30,0... | https://arxiv.org/abs/1704.03189 | arxiv | 2017-04-12T02:05:11 | |
The text is represented by a feature allocation where each block represents a paragraph. | \documentclass{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{decorations.pathmorphing}
\usetikzlibrary{fit}
\usetikzlibrary{backgrounds}
\usetikzlibrary{matrix,positioning}
\usepackage[utf8]{inputenc}
\begin{document}
\begin{tikzpicture}[scale=0.98]
\draw (-5,1.5) node (v1) {} ... | https://arxiv.org/abs/1410.6830 | arxiv | 2014-10-28T01:00:54 | |
Comparing co-occurence and projection entropy in their values for 2 and 3 elements | \documentclass{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{decorations.pathmorphing}
\usetikzlibrary{fit}
\usetikzlibrary{backgrounds}
\usetikzlibrary{matrix,positioning}
\usepackage[utf8]{inputenc}
\begin{document}
\begin{tikzpicture}[yscale=0.75,xscale=0.85]
\draw (-6,1.8) ... | https://arxiv.org/abs/1410.6830 | arxiv | 2014-10-28T01:00:54 | |
The time-dependent function of variances for real-time measurements. | \documentclass[journal]{IEEEtran}
\usepackage{amsmath}
\usepackage{pgfplots}
\pgfplotsset{compat=1.5}
\begin{document}
\begin{tikzpicture}
\begin{axis}[axis lines=center, axis equal image, enlargelimits=true,
y label style={at={(0.0,1.1)}}, x label style={at={(1.02,-0.12)}},
xlabel={$t$},
ylabel={$\sigma^2... | https://arxiv.org/abs/1705.01376 | arxiv | 2017-05-04T02:05:39 | |
Long-running process life-cycle with partially actice and partially terminated states. | \documentclass[10pt, conference, compsocconf]{IEEEtran}
\usepackage{tikz}
\usetikzlibrary{shapes,snakes}
\usetikzlibrary{positioning,calc}
\usetikzlibrary{arrows,decorations.markings}
\begin{document}
\begin{tikzpicture}
\node [draw, ultra thick, circle, fill=blue!05!white, minimum size=60, align=center] (active) at... | https://arxiv.org/abs/1604.07642 | arxiv | 2016-04-27T02:11:04 |
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