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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Mapping to r_1r_2 random variables in a node with data x_u | \documentclass[10pt,twosided,a4paper,draft,onecolumn]{article}
\usepackage{tikz}
\usetikzlibrary{matrix,arrows,decorations.pathmorphing}
\usepackage{graphicx,color}
\usepackage{amsmath,amsfonts,amssymb,mathrsfs,wasysym,stackrel,amsthm}
\begin{document}
\begin{tikzpicture}[>=latex]
\tikzstyle{every node} = [circle,fi... | https://arxiv.org/abs/1210.6134 | arxiv | 2012-10-24T02:02:18 | |
A cross-sectional view of a collar neighborhood of F in the knot complement X_K, where F_ represent F 1, respectively. In addition, the point P_+(resp. P_-) is the intersection point of the meridian Z and F_+(resp. F_-). | \documentclass[11pt, oneside]{amsart}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{color}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[scale=0.8]
\draw [ultra thick] (2,2) -- (9,2);
\draw [ultra thick] (2,4) -- (9,4);
\draw [ultra thick] (10.5,3) circle [radius=1.8];
\draw [->, ultra thick, cy... | https://arxiv.org/abs/1311.3291 | arxiv | 2014-07-02T02:12:28 | |
Hasse-diagram of Szondi's signatures | \documentclass{article}
\usepackage{amsmath,amssymb,array,multirow,tikz,tikz-cd}
\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) at (0,-1)... | https://arxiv.org/abs/1403.2000 | arxiv | 2014-05-06T19:50:29 | |
Schematic of the LHCb detector showing the path of charged particles from a D^0 K^-^+^-^+ decay and its charge conjugate. In this case, the raw asymmetry will be dominated by the material interaction effects of the charged kaon, but when the pion tracking efficiency is measured, this cancels between the numerator and t... | \documentclass[12pt]{article}
\usepackage{tikz}
\usetikzlibrary{trees}
\usetikzlibrary{decorations.pathmorphing}
\usetikzlibrary{decorations.markings}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}[scale=0.7,
% Set the overall layout of the tree
level/.style={level distance=3.15cm, line width=0.4m... | https://arxiv.org/abs/1311.5745 | arxiv | 2013-11-25T02:07:02 | |
Discipline inclusions for considering the context of a message. | \documentclass{article}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage[leqno]{amsmath}
\usepackage{amssymb}
\usepackage[usenames,dvipsnames]{xcolor}
\usepackage{pgf,pgfarrows,pgfnodes}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usetikzlibrary{shapes}
\usetikzlibrary{decorations.text}
\usetikzlibrary{t... | https://arxiv.org/abs/1207.6224 | arxiv | 2012-07-27T02:03:05 | |
A comb-like order | \documentclass{amsart}
\usepackage{amsmath, amssymb, amsthm}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
\begin{scope}[scale=0.5]
\coordinate [label=left:$i_1$] (i1) at (0,0);
\coordinate [label=right:$i_2$] (i2) at (1,0);
\coordinate [label=left:$i_3$] (i3) at (0.5,1);
\coordinate [lab... | https://arxiv.org/abs/1304.0026 | arxiv | 2013-04-02T02:00:36 | |
Left and Right intervals | \documentclass[notitlepage,a4paper]{article}
\usepackage[latin1]{inputenc}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{matrix}
\begin{document}
\begin{tikzpicture}
\matrix (m) [matrix of math nodes,row sep=3em,column sep=1em,minimum width=1em]
{
Level \; h=k & \qquad & I \left [1, ... | https://arxiv.org/abs/1207.4802 | arxiv | 2014-05-16T02:13:16 | |
The zero sets of the polynomials in eq-cad-intro and some projections on the x-axis (solid dots). | \documentclass[a4paper]{report}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage[usenames,dvipsnames]{xcolor}
\usepackage{tikz}
\usetikzlibrary{automata,arrows}
\begin{document}
\begin{tikzpicture}[scale=1.2]
% Axes
\draw[->] (-2.5, 0) -- (2.5,0) node[right] {$x$};
\draw[->] (0, -2.2)... | https://arxiv.org/abs/1401.5351 | arxiv | 2014-01-22T02:10:17 | |
Geometric interpretation. Top: input feature pairs x_i, x_i' R^p are segments for y_i=0 and arrows for y_i\{-1,1\}. The level curves of the ranking function r( x)=|| x||_2^2 are grey, and differences |r( x')-r( x)| 1 are considered insignificant (y_i=0). Middle: in the enlarged feature space, the ranking function is li... | \documentclass{article}
\usepackage[table]{xcolor}
\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 (224.04,578.16);
\begin{scope}
\pat... | https://arxiv.org/abs/1401.8008 | arxiv | 2014-02-03T02:00:54 | |
Timed automaton . | \documentclass[runningheads,a4paper]{llncs}
\usepackage{amsmath,wasysym}
\usepackage{tikz}
\usetikzlibrary{automata,fit,positioning}
\begin{document}
\begin{tikzpicture}[shorten >=1pt,node distance=3cm,on
grid,auto,every node/.style={shape=rectangle}]
\node[draw] (q0) {\footnotesize $q_0$};
\node[draw] (q... | https://arxiv.org/abs/1110.3704 | arxiv | 2011-10-18T02:10:40 | |
Plate notation of LDA. | \documentclass[10pt, twocolumn]{amsart}
\usepackage{amssymb}
\usepackage[T1]{fontenc}
\usepackage{tikz}
\usetikzlibrary{arrows,backgrounds}
\usepackage{xcolor}
\begin{document}
\begin{tikzpicture}[scale=0.7]
\tikzstyle{post}=[->,shorten >=0pt,>=stealth',thick]
\foreach \x/\y in {-2.2/1.5, 1.6/1.5, 4/... | https://arxiv.org/abs/1307.0317 | arxiv | 2013-07-02T02:03:26 | |
Plate notation of parameterized distribution q. | \documentclass[10pt, twocolumn]{amsart}
\usepackage{amssymb}
\usepackage[T1]{fontenc}
\usepackage{tikz}
\usetikzlibrary{arrows,backgrounds}
\usepackage{xcolor}
\begin{document}
\begin{tikzpicture}[scale=0.7]
\tikzstyle{post}=[->,shorten >=0pt,>=stealth',thick]
\draw[very thick] (0, 0) rectangle (2.8, -5.2... | https://arxiv.org/abs/1307.0317 | arxiv | 2013-07-02T02:03:26 | |
A quantum circuit for producing a GHZ state using Hadamard gates and controlled phase gates. | \documentclass[english,10pt,a4paper,nofootinbib,twocolumn]{revtex4}
\usepackage{amsmath,amssymb,amsfonts,amsthm}
\usepackage[colorlinks=true,linkcolor=blue,citecolor=blue]{hyperref}
\usepackage{tikz}
\usetikzlibrary{backgrounds,fit,decorations.pathreplacing}
\usetikzlibrary{circuits.logic.US}
\newcommand{\fullket}[1]{... | https://arxiv.org/abs/1307.0096 | arxiv | 2013-07-02T02:01:05 | |
The scheme X | \documentclass{amsart}
\usepackage{amssymb,amsmath,amsthm}
\usepackage[utf8]{inputenc}
\usepackage{pgf,tikz}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}[line cap=round,line join=round,>=triangle 45,x=0.5cm,y=0.5cm]
\foreach \x in {-1,1,2,3,4,5,6,7,8,9}
\foreach \y in {-1,1,2,3,4,5,6,7,8}
\clip(-1,0) ... | https://arxiv.org/abs/1009.4095 | arxiv | 2010-09-22T02:02:13 | |
Hasse-diagram of Szondi's signatures | \documentclass{article}
\usepackage[usenames,dvipsnames]{xcolor}
\usepackage{amsmath,amssymb,array,marvosym,multirow,rotating,pgf,tikz,stmaryrd,chemarrow,colortbl,listings}
\usetikzlibrary{arrows,automata}
\begin{document}
\begin{tikzpicture}
\node (pbbb) at (0,4) {$+!!!$};
\node (pbb) at (0,3) {$+!!$};
\node (pb)... | https://arxiv.org/abs/1403.6048 | arxiv | 2014-03-25T01:14:19 | |
To count the number of ranked topologies for the tree above, we multiply the counts in the 3 levels. In the lowest level we have 3 lineages reducing to 1 (root of lowest calibration), 5 lineages reducing to 3 and 2 free lineages not reducing. So, the total number of topologies is R_3^1 R_5^2 R_2^2 2+5+2 - (1+3+2)1,2,0 ... | \documentclass[11pt]{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{shapes,positioning}
\begin{document}
\begin{tikzpicture}[scale=0.6,node distance = .5cm,auto,transform shape]
\tikzstyle{tip} = [text centered]
\tikzstyle{internal} = [green]
\tikzstyle{cal... | https://arxiv.org/abs/1311.4921 | arxiv | 2013-11-21T02:02:03 | |
Parent of monophyletic clade of size n. | \documentclass[11pt]{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{shapes,positioning}
\begin{document}
\begin{tikzpicture}[scale=0.8]
\node at (-0.4, 4) {$h$};
\draw[dashed] (0,4) -- (6, 4);
\draw[densely dotted] (0,3) -- (6, 3);
\node at (1.0, -0.4) {$n... | https://arxiv.org/abs/1311.4921 | arxiv | 2013-11-21T02:02:03 | |
Monophyletic clade of size n and root with n+m taxa. | \documentclass[11pt]{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{shapes,positioning}
\begin{document}
\begin{tikzpicture}[scale=0.8]
\node at (-0.4,6) {$h_0$};
\node at (-0.4, 3) {$h$};
\node at (3.5, 3) {$k$};
\draw[dashed] (0,6) -- (6, 6);
\draw[dashed... | https://arxiv.org/abs/1311.4921 | arxiv | 2013-11-21T02:02:03 | |
Two nested monophyletic clades of size n and n+m taxa in a n + m + l taxa tree (l > 0). | \documentclass[11pt]{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{shapes,positioning}
\begin{document}
\begin{tikzpicture}[scale=0.5]
\node at (-0.4,6) {$h_1$};
\node at (-0.4, 3) {$h_2$};
\draw[dashed] (0,6) -- (9, 6);
\draw[dashed] (0,3) -- (9, 3);
\nod... | https://arxiv.org/abs/1311.4921 | arxiv | 2013-11-21T02:02:03 | |
Finite state machine illustrating the first strategy set, _1, of the S_i strategies. The action to perform is in the node, and transitions are taken on the basis of the opponent's action in the previous round (or based on the previous round number t). All strategies start in the left node (C), except S_0 that starts wi... | \documentclass[10pt,a4paper]{article}
\usepackage{color}
\usepackage{amsmath}
\usepackage{pgf}
\usepackage{tikz}
\usetikzlibrary{arrows,automata}
\begin{document}
\begin{tikzpicture}[->,>=stealth',shorten >=1pt,auto,node distance=3.5cm,semithick]
\tikzstyle{every state}=[circle,draw]
\node[state, label=220:$S_{i \in... | https://arxiv.org/abs/1301.1710 | arxiv | 2013-01-10T02:00:23 | |
Finite state machine illustrating the extended strategy set _2 consisting of the strategies S_i,CC_i, and DC_i. S_i are the conditional cooperators as described in Figure~fig_statespace0. The Convincers are denoted CC_i and the Followers DC_i. Strategies start in the state at which the name is placed. The strategies CC... | \documentclass[10pt,a4paper]{article}
\usepackage{color}
\usepackage{amsmath}
\usepackage{pgf}
\usepackage{tikz}
\usetikzlibrary{arrows,automata}
\begin{document}
\begin{tikzpicture}[->,>=stealth',shorten >=1pt,auto,node distance=3.5cm,semithick]
\tikzstyle{every state}=[circle,draw]
\node[state, label=220:$S_{i \in... | https://arxiv.org/abs/1301.1710 | arxiv | 2013-01-10T02:00:23 | |
Birth/death steps for the product rule (PR) in the Achlioptas' model of percolation. In this example, edge e_2 was born before edge e_1, since |C_11||C_12| > |C_21||C_22|. Therefore, when e_1 and e_2 are selected during a death step, e_2 is discarded aftere_1. This death step specification ensures that births and death... | \documentclass[8pt,apl,superscriptaddress,pdftex,dvipsnames,twocolumn]{revtex4-1}
\usepackage{amsmath,amsthm,amssymb,amsfonts}
\usepackage[dvipsnames]{xcolor}
\usepackage{pgf,tikz}
\usetikzlibrary{snakes}
\usetikzlibrary{backgrounds}
\usetikzlibrary{arrows}
\usetikzlibrary{patterns}
\usetikzlibrary{fit}
\usetikzlibrary... | https://arxiv.org/abs/1401.3518 | arxiv | 2014-01-16T02:07:26 | |
Directed Acyclic Graph (DAG) representation of the hidden Markov process combining a latent stochastic graph process in the first row denoted by G_t, with an observed stochastic graph process contaminated by noise in the second row, denoted by G^_t. Directed arrows indicate probabilistic dependence, such that the distr... | \documentclass[8pt,apl,superscriptaddress,pdftex,dvipsnames,twocolumn]{revtex4-1}
\usepackage{amsmath,amsthm,amssymb,amsfonts}
\usepackage[dvipsnames]{xcolor}
\usepackage{pgf,tikz}
\usetikzlibrary{snakes}
\usetikzlibrary{backgrounds}
\usetikzlibrary{arrows}
\usetikzlibrary{patterns}
\usetikzlibrary{fit}
\usetikzlibrary... | https://arxiv.org/abs/1401.3518 | arxiv | 2014-01-16T02:07:26 | |
Illustration of subroutine SUB | \documentclass[a4paper]{llncs}
\usepackage[utf8x]{inputenc}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usepackage{tkz-berge}
\begin{document}
\begin{tikzpicture}
\draw (0,0) circle (100pt);
\draw[very thick] (60:100pt) ++(0,0) arc (60:100:100pt);
\draw (60:95pt) -- (60:105pt);
\draw (60:110pt) node ... | https://arxiv.org/abs/1305.1021 | arxiv | 2013-05-07T02:02:01 | |
The graph CS(20) | \documentclass[a4paper]{llncs}
\usepackage[utf8x]{inputenc}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usepackage{tkz-berge}
\begin{document}
\begin{tikzpicture}
\grCirculant[RA=2.7,prefix=]{20}{1,4,9}
\end{tikzpicture}
\end{document} | https://arxiv.org/abs/1305.1021 | arxiv | 2013-05-07T02:02:01 | |
The graph CI(20,4,6) | \documentclass[a4paper]{llncs}
\usepackage[utf8x]{inputenc}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usepackage{tkz-berge}
\begin{document}
\begin{tikzpicture}
\grCirculant[RA=3,prefix=]{20}{4,5,6}
\end{tikzpicture}
\end{document} | https://arxiv.org/abs/1305.1021 | arxiv | 2013-05-07T02:02:01 | |
Proof of inference node | \documentclass[conference]{llncs}
\usepackage[utf8]{inputenc}
\usepackage{tikz}
\usepackage{amsmath, amsfonts, amssymb}
\begin{document}
\begin{tikzpicture}[-, main node/.style={circle,fill=white!25,draw,node distance=2.5cm},minimum width=3pt]
\node[main node] (1) {i};
\node[main node] (2) [below left of=1] {k};... | https://arxiv.org/abs/1403.6237 | arxiv | 2014-04-01T02:09:13 | |
The LTT of the list =3,9,5,7,8,4,6. The up and down nodes are indicated by a dashed grey line. The layer number is 3. The team of 3 is a list 4,5,9. The team of 5 is a list with a single element 7. The team of 4 is 6,8. These teams form their own team trees at layer 1. | \documentclass[envcountsame]{llncs}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{xcolor}
\usepackage{color}
\usepackage{tikz}
\usetikzlibrary{arrows,positioning, calc, decorations.markings,shapes.multipart,chains}
\begin{document}
\begin{tikzpicture}[tnode/.style={thin,circle,draw},level distance=1cm,emph/.s... | https://arxiv.org/abs/1402.2712 | arxiv | 2014-04-21T02:03:32 | |
A tournament tree of a list =3,6,9,2,4,7,8. Edges in principal paths are bolded. | \documentclass[envcountsame]{llncs}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{xcolor}
\usepackage{color}
\usepackage{tikz}
\usetikzlibrary{arrows,positioning, calc, decorations.markings,shapes.multipart,chains}
\begin{document}
\begin{tikzpicture}[decoration={markings,mark=at position 3cm with {\arrow[bla... | https://arxiv.org/abs/1402.2712 | arxiv | 2014-04-21T02:03:32 | |
Example of modeling over four automatically identified frames as possible key postures. | \documentclass[a4paper,11pt]{article}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{amsmath,amssymb,amsthm}
\usepackage{pgf}
\usepackage{tikz}
\usetikzlibrary{automata,positioning,shapes,arrows}
\begin{document}
\begin{tikzpicture}[->,>=stealth',shorten >=1pt,auto, font=\scriptsize]
... | https://arxiv.org/abs/1403.6636 | arxiv | 2014-03-27T01:08:32 | |
RDF extraction from OMDoc markup in a wiki page | \documentclass[runningheads]{llncs}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{tikz}
\usepackage[pdfpagescrop={91 71 521 721},a4paper=false,pdftex,pdfstartview=FitV,plainpages=false,pdfpagelabels,colorlinks=true,linkcolor=NavyBlue,citecolor=NavyBlue,urlcolor=NavyBlue,hypertexnames=true]{hyperref}
... | https://arxiv.org/abs/1003.5196 | arxiv | 2010-03-29T02:01:59 | |
Mutual information and variation of information. The total information H(X,Y) = H(X|Y) + I(X:Y) + H(Y|X). | \documentclass[9pt,technote]{IEEEtran}
\usepackage{amsmath,amssymb}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
\draw (-1cm,0) circle(2cm);
\draw (1cm,0) circle(2cm);
\draw (0,0cm) node[fill=white] {$I(X:Y)$};
\draw (1.8cm,0cm) node[fill=white] {$H(Y|X)$};
\draw (-1.8cm,0cm) node[fill=white] {$H(X|Y)$... | https://arxiv.org/abs/1110.2515 | arxiv | 2013-08-05T02:03:55 | |
Kripke structure part corresponding to the fragment C_i with C_i = x_j . | \documentclass[a4paper,oneside]{scrartcl}
\usepackage{amsmath, amssymb}
\usepackage{xcolor}
\usepackage{tikz}
\usetikzlibrary{arrows,automata,positioning}
\begin{document}
\begin{tikzpicture}[->,>=stealth',shorten >=1pt,auto,node distance=1.8cm,
thick]
\node[state] (C1)... | https://arxiv.org/abs/1104.1034 | arxiv | 2012-01-30T02:02:34 | |
Kripke structure construction in the proof of nor vee | \documentclass[a4paper,oneside]{scrartcl}
\usepackage{amsmath, amssymb}
\usepackage{xcolor}
\usepackage{tikz}
\usetikzlibrary{arrows,automata,positioning}
\begin{document}
\begin{tikzpicture}[->,>=stealth',shorten >=1pt,auto,node distance=2.2cm,thick]
\node[state] (c1) [label=225:{$p... | https://arxiv.org/abs/1104.1034 | arxiv | 2012-01-30T02:02:34 | |
Kripke structure corresponding to \,=\,( x_1 x_2 x_3)(x_2 x_3 x_4)(x_1 x_2) | \documentclass[a4paper,oneside]{scrartcl}
\usepackage{amsmath, amssymb}
\usepackage{xcolor}
\usepackage{tikz}
\usetikzlibrary{arrows,automata,positioning}
\begin{document}
\begin{tikzpicture}[->,>=stealth',shorten >=1pt,auto,node distance=2.0cm,
thick]
\node[state] ... | https://arxiv.org/abs/1104.1034 | arxiv | 2012-01-30T02:02:34 | |
Kripke structure construction in the proof of Theorem diamond-vee-boundedThe underlying formula contains the clauses C_1= p_2, C_2=p_2 p_3 and C_3= p_1 | \documentclass[a4paper,oneside]{scrartcl}
\usepackage{amsmath, amssymb}
\usepackage{xcolor}
\usepackage{tikz}
\usetikzlibrary{arrows,automata,positioning}
\begin{document}
\begin{tikzpicture}[->,>=stealth',shorten >=1pt,auto,node distance=2.2cm,thick]
\node[state] (c1) [label=left:{$... | https://arxiv.org/abs/1104.1034 | arxiv | 2012-01-30T02:02:34 | |
Kripke structure construction in the proof of diamond-wedge-bounded | \documentclass[a4paper,oneside]{scrartcl}
\usepackage{amsmath, amssymb}
\usepackage{xcolor}
\usepackage{tikz}
\usetikzlibrary{arrows,automata,positioning}
\begin{document}
\begin{tikzpicture}[->,>=stealth',shorten >=1pt,auto,node distance=1.5cm,thick]
\node[state] (C1) ... | https://arxiv.org/abs/1104.1034 | arxiv | 2012-01-30T02:02:34 | |
A schematic view of the Yukawa coupling between left- and right-handed fermions, interpreted in a five dimensional space time. The left- and right-handed fermions live on separate four-dimensional sheets. The Higgs field couples left- to right-handed spinors via quantum tunnelling. | \documentclass[ a4paper,11pt]{revtex4}
\usepackage{subfigure, amsfonts, amsmath}
\usepackage{amssymb}
\usepackage{subfigure, amsfonts, amsmath}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage[latin1]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{tikz,pgflibraryshapes}
\begin{document}
\begin{tikzpicture}[scale... | https://arxiv.org/abs/1201.2661 | arxiv | 2012-11-29T02:00:39 | |
A natural embedding of P into S. | \documentclass[12pt]{article}
\usepackage{amssymb,amsmath,amsthm}
\usepackage[T1]{fontenc}
\usepackage{tikz}
\usepackage{color}
\begin{document}
\begin{tikzpicture}
\draw [very thin] (0,1) ellipse (0.1 and 1);
\draw [very thin] (0,2) .. controls (1,2) .. (3,3);
\draw [very thin] (0,0) .. controls (1,0) .. (3,-1);
\dr... | https://arxiv.org/abs/1402.3275 | arxiv | 2014-02-14T02:09:23 | |
If (), () and () do not bound a pair of pants. | \documentclass[12pt]{article}
\usepackage{amssymb,amsmath,amsthm}
\usepackage[T1]{fontenc}
\usepackage{tikz}
\usepackage{color}
\begin{document}
\begin{tikzpicture}
%fondo, figura principal
\shadedraw[inner color=white!35!black, outer color=white!90!black, very thick]
(0,-1) to[out=0,in=100] (1.5,-2.5) to[out=80,in=1... | https://arxiv.org/abs/1402.3275 | arxiv | 2014-02-14T02:09:23 | |
Catching in a S_0,4. | \documentclass[12pt]{article}
\usepackage{amssymb,amsmath,amsthm}
\usepackage[T1]{fontenc}
\usepackage{tikz}
\usepackage{color}
\begin{document}
\begin{tikzpicture}
%fondo y contorno
\shadedraw[left color=white!35!black, right color=white!90!black,thick]
(-4,0) to[out=0,in=180] (4,0)
to[out=100,in=260] (4,3)
to[out=... | https://arxiv.org/abs/1402.3275 | arxiv | 2014-02-14T02:09:23 | |
Diagram of N. | \documentclass[12pt]{article}
\usepackage{amssymb,amsmath,amsthm}
\usepackage[T1]{fontenc}
\usepackage{tikz}
\usepackage{color}
\begin{document}
\begin{tikzpicture}
%fondo y contorno
\shadedraw[inner color=white!35!black, outer color=white!90!black,thick]
(0,0)--(6,0)--(6,3.5)--(0,3.5)--cycle;
\filldraw [rounded corn... | https://arxiv.org/abs/1402.3275 | arxiv | 2014-02-14T02:09:23 | |
Three nonseparating curves bounding a pair of pants. | \documentclass[12pt]{article}
\usepackage{amssymb,amsmath,amsthm}
\usepackage[T1]{fontenc}
\usepackage{tikz}
\usepackage{color}
\begin{document}
\begin{tikzpicture}
%figura izquiera
\shadedraw[inner color=white!35!black, outer color=white!90!black, very thick]
(3,2) to[out=100,in=270] (2.8,3) to[out=90,in=260]
(3,... | https://arxiv.org/abs/1402.3275 | arxiv | 2014-02-14T02:09:23 | |
Example for K_0, K_1, and _0, _1,. | \documentclass[12pt]{article}
\usepackage{amssymb,amsmath,amsthm}
\usepackage[T1]{fontenc}
\usepackage{tikz}
\usepackage{color}
\begin{document}
\begin{tikzpicture}
%Parte de afuera. y hueco
\shadedraw [inner color=white,outer color=white!60!black, very thick]
(-4,0) to[out=180,in=270] (-4.5,1.5) to[out=90,in=180] ... | https://arxiv.org/abs/1402.3275 | arxiv | 2014-02-14T02:09:23 | |
A superinjective but not surjective simplicial map. | \documentclass[12pt]{article}
\usepackage{amssymb,amsmath,amsthm}
\usepackage[T1]{fontenc}
\usepackage{tikz}
\usepackage{color}
\begin{document}
\begin{tikzpicture}
%fondo y contorno
%figura izquiera
\shadedraw[left color=white!35!black, right color=white!90!black, very thick]
(-5,-1) to[out=0,in=180] (-1,-1)
to[out... | https://arxiv.org/abs/1402.3275 | arxiv | 2014-02-14T02:09:23 | |
Catching again in a S_0,4. | \documentclass[12pt]{article}
\usepackage{amssymb,amsmath,amsthm}
\usepackage[T1]{fontenc}
\usepackage{tikz}
\usepackage{color}
\begin{document}
\begin{tikzpicture}
%fondo y contorno
\shadedraw[left color=white!35!black, right color=white!90!black,thick]
(0,0) to[out=0,in=180] (4,0)
to[out=100,in=260] (4,3)
to[out=1... | https://arxiv.org/abs/1402.3275 | arxiv | 2014-02-14T02:09:23 | |
The two options for (v)=1. | \documentclass[12pt]{article}
\usepackage{amssymb,amsmath,amsthm}
\usepackage[T1]{fontenc}
\usepackage{tikz}
\usepackage{color}
\begin{document}
\begin{tikzpicture}
%figura izquiera
\shadedraw[inner color=white!35!black, outer color=white!90!black, very thick]
(-1+1,2-1) to[out=100,in=270] (-1.2+1,3-1) to[out=90,in=... | https://arxiv.org/abs/1402.3275 | arxiv | 2014-02-14T02:09:23 | |
Catching in an annulus. | \documentclass[12pt]{article}
\usepackage{amssymb,amsmath,amsthm}
\usepackage[T1]{fontenc}
\usepackage{tikz}
\usepackage{color}
\begin{document}
\begin{tikzpicture}
%fondo y contorno
\shadedraw[left color=white!35!black, right color=white!90!black, very thick]
(-2*.5,-4*.5) to[out=0,in=180] (6*.5,-4*.5)
to[out=100,in... | https://arxiv.org/abs/1402.3275 | arxiv | 2014-02-14T02:09:23 | |
Examples of and in S_ | \documentclass[12pt]{article}
\usepackage{amssymb,amsmath,amsthm}
\usepackage[T1]{fontenc}
\usepackage{tikz}
\usepackage{color}
\begin{document}
\begin{tikzpicture}
\shadedraw[inner color=white!35!black, outer color=white!90!black, very thick]
%contorno
(-2,-1) to[out=350,in=190] (2,-1)
to[out=80,in=270] (3,3)
to... | https://arxiv.org/abs/1402.3275 | arxiv | 2014-02-14T02:09:23 | |
Example of a convenient pants decomposition. | \documentclass[12pt]{article}
\usepackage{amssymb,amsmath,amsthm}
\usepackage[T1]{fontenc}
\usepackage{tikz}
\usepackage{color}
\begin{document}
\begin{tikzpicture}
%contorno
\shadedraw[inner color=white!35!black, outer color=white!90!black, very thick]
(-1,0) to[out=90,in=0] (-1.5,.5) to[out=45,in=335] (-1.5,1)
to... | https://arxiv.org/abs/1402.3275 | arxiv | 2014-02-14T02:09:23 | |
A superinjecive map between two nonhomeomorphic surfaces. | \documentclass[12pt]{article}
\usepackage{amssymb,amsmath,amsthm}
\usepackage[T1]{fontenc}
\usepackage{tikz}
\usepackage{color}
\begin{document}
\begin{tikzpicture}
%fondo y contorno
%figura izquiera
\shadedraw[left color=white!35!black, right color=white!90!black, very thick]
(-6,-1) to[out=0,in=180] (-1,-1)
to[out=... | https://arxiv.org/abs/1402.3275 | arxiv | 2014-02-14T02:09:23 | |
Piecewise syndetic sets always consist of eventually growing intervals that have bounded gaps. The space between these intervals may be arbitrary, however. | \documentclass[11pt]{article}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{patterns}
\usetikzlibrary{decorations.markings}
\begin{document}
\begin{tikzpicture}[yscale=0.5,xscale=0.66,scale=0.5]
\def\block#1#2{\draw (#1,-1) rectangle +(#2,2)}
\def\number#1[#... | https://arxiv.org/abs/1206.0967 | arxiv | 2012-06-06T02:04:38 | |
In a compact space Y, every sequence will have one or more limit points. An ultrafilter limit picks one of them. | \documentclass[11pt]{article}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{patterns}
\usetikzlibrary{decorations.markings}
\begin{document}
\begin{tikzpicture}
\draw (0,0) ellipse (2.3 and 2);
\path (90:2.1) node[above] {$Y$};
\def\mypoint{\fill circle (... | https://arxiv.org/abs/1206.0967 | arxiv | 2012-06-06T02:04:38 | |
A set A is not piecewise syndetic if and only if a gap of length at least d can be found in each interval that has size at least l(d). | \documentclass[11pt]{article}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{patterns}
\usetikzlibrary{decorations.markings}
\begin{document}
\begin{tikzpicture}[yscale=0.5,xscale=0.66,scale=0.6]
\def\block#1#2{\draw (#1,-1) rectangle +(#2,2)}
\def\number#1[#... | https://arxiv.org/abs/1206.0967 | arxiv | 2012-06-06T02:04:38 | |
Illustration of a syndetic set. The rectangular blocks indicate natural numbers that are contained in the set, while empty space indicates numbers that are absent from the set. Being syndetic means that no gap may exceed a fixed size d. | \documentclass[11pt]{article}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{patterns}
\usetikzlibrary{decorations.markings}
\begin{document}
\begin{tikzpicture}[yscale=0.5,xscale=0.7,scale=0.6]
\def\block#1#2{\draw (#1,-1) rectangle +(#2,2)}
\def\number#1[#2... | https://arxiv.org/abs/1206.0967 | arxiv | 2012-06-06T02:04:38 | |
A Complete (and Undecomposable) Function. | \documentclass[11pt]{article}
\usepackage{amssymb,amsfonts}
\usepackage{amsmath}
\usepackage[usenames,dvipsnames]{color}
\usepackage[pdftex,bookmarks=true,pdfstartview=FitH,colorlinks,linkcolor=blue,filecolor=blue,citecolor=blue,urlcolor=blue,pagebackref=true]{hyperref}
\usepackage{tikz}
\usetikzlibrary{fit, matrix, po... | https://arxiv.org/abs/1205.3554 | arxiv | 2012-05-17T02:01:45 | |
Decomposition of a Decomposable Function | \documentclass[11pt]{article}
\usepackage{amssymb,amsfonts}
\usepackage{amsmath}
\usepackage[usenames,dvipsnames]{color}
\usepackage[pdftex,bookmarks=true,pdfstartview=FitH,colorlinks,linkcolor=blue,filecolor=blue,citecolor=blue,urlcolor=blue,pagebackref=true]{hyperref}
\usepackage{tikz}
\usetikzlibrary{fit, matrix, po... | https://arxiv.org/abs/1205.3554 | arxiv | 2012-05-17T02:01:45 | |
An Incomplete but Undecomposable Function (Minimum ||+||). | \documentclass[11pt]{article}
\usepackage{amssymb,amsfonts}
\usepackage{amsmath}
\usepackage[usenames,dvipsnames]{color}
\usepackage[pdftex,bookmarks=true,pdfstartview=FitH,colorlinks,linkcolor=blue,filecolor=blue,citecolor=blue,urlcolor=blue,pagebackref=true]{hyperref}
\usepackage{tikz}
\usetikzlibrary{fit, matrix, po... | https://arxiv.org/abs/1205.3554 | arxiv | 2012-05-17T02:01:45 | |
An Incomplete but Undecomposable Function (Minimum ||). | \documentclass[11pt]{article}
\usepackage{amssymb,amsfonts}
\usepackage{amsmath}
\usepackage[usenames,dvipsnames]{color}
\usepackage[pdftex,bookmarks=true,pdfstartview=FitH,colorlinks,linkcolor=blue,filecolor=blue,citecolor=blue,urlcolor=blue,pagebackref=true]{hyperref}
\usepackage{tikz}
\usetikzlibrary{fit, matrix, po... | https://arxiv.org/abs/1205.3554 | arxiv | 2012-05-17T02:01:45 | |
The tree H_n,k. | \documentclass[10pt,bezier]{article}
\usepackage{amsmath,amssymb,amsfonts,xspace}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[scale=.8]
\filldraw [black]
(-1,0) circle (3.5 pt)
(1,0) circle (3.5 pt)
(-2,1) circle (3.5 pt)
(-2,0.5) circle (3.5 pt)
(-2,-1) circle (3.5 pt)
(-2,0.1) circle (1 pt)
(-2,-0.3) cir... | https://arxiv.org/abs/1303.3222 | arxiv | 2013-03-14T01:02:55 | |
I(G_n,x)=I(C_n,x). | \documentclass[10pt,bezier]{article}
\usepackage{amsmath,amssymb,amsfonts,xspace}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[scale=1]
\filldraw [black]
(-3,0) circle (3.5 pt)
(-2,0) circle (3.5 pt)
(-1.5,0) circle (1 pt)
(-1,0) circle (1 pt)
(-0.5,0) circle (1 pt)
(0,0) circle (3.5 pt)
(1,0.5) circle (3.5... | https://arxiv.org/abs/1303.3222 | arxiv | 2013-03-14T01:02:55 | |
the tree T. | \documentclass[10pt,bezier]{article}
\usepackage{amsmath,amssymb,amsfonts,xspace}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[scale=0.7]
\filldraw [black]
(0,0) circle (3.5 pt)
(0,-2) circle (3.5 pt)
(2,-2) circle (3.5 pt)
(-2,-2) circle (3.5 pt)
(.075,-2) circle (1 pt)
(1,-2) circle (1 pt)
(1.25,-2) circl... | https://arxiv.org/abs/1303.3222 | arxiv | 2013-03-14T01:02:55 | |
A graphing and one of its refinements | \documentclass[a4paper]{article}
\usepackage[applemac]{inputenc}
\usepackage{amsmath,amsthm,amssymb,bussproofs,tikz,stmaryrd,mathtools}
\begin{document}
\begin{tikzpicture}[x=0.7cm,y=0.7cm]
\draw[-] (0,0) -- (2,0) node [below,very near start] {\scriptsize{$[0,2]$}};
\draw[-] (3,0) -- (5,0) node [below,very near end... | https://arxiv.org/abs/1312.1094 | arxiv | 2014-07-09T02:08:35 | |
Plugging of the thick graphs G and H | \documentclass[a4paper]{article}
\usepackage[applemac]{inputenc}
\usepackage{amsmath,amsthm,amssymb,bussproofs,tikz,stmaryrd,mathtools}
\begin{document}
\begin{tikzpicture}
\node (G111) at (0,0,0) {$1_{1,1}$};
\node (G211) at (2,0,0) {$2_{1,1}$};
\node (G121) at (0,2,0) {$1_{2,1}$};
\node (G221) at (2,2,0) {$2_{2... | https://arxiv.org/abs/1312.1094 | arxiv | 2014-07-09T02:08:35 | |
Two thick graphs G and H, both with dialect \{1,2\} | \documentclass[a4paper]{article}
\usepackage[applemac]{inputenc}
\usepackage{amsmath,amsthm,amssymb,bussproofs,tikz,stmaryrd,mathtools}
\begin{document}
\begin{tikzpicture}[node distance=2cm]
\node (G11) at (0,0) {$1_{1}$};
\node (G21) at (2,0) {$2_{1}$};
\node (G12) at (0,2) {$1_{2}$};
\node (G22) at (2,2) {$2_... | https://arxiv.org/abs/1312.1094 | arxiv | 2014-07-09T02:08:35 | |
Result of the execution of the thick graphs G and H | \documentclass[a4paper]{article}
\usepackage[applemac]{inputenc}
\usepackage{amsmath,amsthm,amssymb,bussproofs,tikz,stmaryrd,mathtools}
\begin{document}
\begin{tikzpicture}
\node (G111) at (0,0,0) {$1_{1,1}$};
\node (G121) at (0,2,0) {$1_{2,1}$};
\node[opacity=0.6] (G112) at (0,0,-4) {$1_{1,2}$};
\node[opacity=0.... | https://arxiv.org/abs/1312.1094 | arxiv | 2014-07-09T02:08:35 | |
Alternating paths in the plugging of thick graphs G and H | \documentclass[a4paper]{article}
\usepackage[applemac]{inputenc}
\usepackage{amsmath,amsthm,amssymb,bussproofs,tikz,stmaryrd,mathtools}
\begin{document}
\begin{tikzpicture}
\node (G111) at (0,0,0) {$1_{1,1}$};
\node (G121) at (0,2,0) {$1_{2,1}$};
\node[opacity=0.6] (G112) at (0,0,-4) {$1_{1,2}$};
\node[opacity=0.... | https://arxiv.org/abs/1312.1094 | arxiv | 2014-07-09T02:08:35 | |
The graphs G^_D^H and H^_D^G | \documentclass[a4paper]{article}
\usepackage[applemac]{inputenc}
\usepackage{amsmath,amsthm,amssymb,bussproofs,tikz,stmaryrd,mathtools}
\begin{document}
\begin{tikzpicture}[scale=0.9]
\node (G111) at (0,0,0) {$1_{1,1}$};
\node (G211) at (2,0,0) {$2_{1,1}$};
\node (G121) at (0,2,0) {$1_{2,1}$};
\node (G221) at (2,... | https://arxiv.org/abs/1312.1094 | arxiv | 2014-07-09T02:08:35 | |
Les graphes G_1 et G_2 | \documentclass[a4paper]{article}
\usepackage[applemac]{inputenc}
\usepackage{amsmath,amsthm,amssymb,bussproofs,tikz,stmaryrd,mathtools}
\begin{document}
\begin{tikzpicture}
\node (A1a) at (1,1) {$1_{a}$};
\node (A2a) at (3,1) {$2_{a}$};
\node (A1b) at (1,3) {$1_{b}$};
\node (A2b) at (3,3) {$2_{b}$};
\draw[->,... | https://arxiv.org/abs/1312.1094 | arxiv | 2014-07-09T02:08:35 | |
Examples of sliced thick graphs: 12 F + 3 G and F_a+F_b | \documentclass[a4paper]{article}
\usepackage[applemac]{inputenc}
\usepackage{amsmath,amsthm,amssymb,bussproofs,tikz,stmaryrd,mathtools}
\begin{document}
\begin{tikzpicture}
\node (A1) at (0,0) {$1_{1}$};
\node (B1) at (0,2) {$1_{2}$};
\node (C1) at (0,4) {$1_{3}$};
\node (A2) at (2,0) {$2_{1}$};
\node (B2) at (2... | https://arxiv.org/abs/1312.1094 | arxiv | 2014-07-09T02:08:35 | |
The graph of a contraction project | \documentclass[a4paper]{article}
\usepackage[applemac]{inputenc}
\usepackage{amsmath,amsthm,amssymb,bussproofs,tikz,stmaryrd,mathtools}
\begin{document}
\begin{tikzpicture}[x=0.72cm,y=0.72cm]
\node (A1) at (0,0) {$1_{1}$};
\node (B1) at (1.5,0) {$2_{1}$};
\node (C1) at (3,0) {$3_{1}$};
\node (D1) at (4.5,0) {$4_{... | https://arxiv.org/abs/1312.1094 | arxiv | 2014-07-09T02:08:35 | |
Semi-triangles of Type A and Type B respectively. | \documentclass[11pt]{article}
\usepackage{amsmath, amsthm, amssymb, enumerate}
\usepackage{tikz}
\usetikzlibrary{decorations,decorations.pathmorphing}
\begin{document}
\begin{tikzpicture}
% Intervals
\foreach \a / \t in {
70/I_r', 180/I_q', 270/I_p'
}
{
\draw (\a-15:24mm) -- (\a-15:26mm);
\draw (\a+... | https://arxiv.org/abs/1104.3334 | arxiv | 2011-11-09T02:01:10 | |
Constructing semi-triangles, Type A and B, respectively. | \documentclass[11pt]{article}
\usepackage{amsmath, amsthm, amssymb, enumerate}
\usepackage{tikz}
\usetikzlibrary{decorations,decorations.pathmorphing}
\begin{document}
\begin{tikzpicture}
% Intervals
\foreach \a / \t / \s in {
180/L_{q_2}/M_{q_2}, 290/L_{q_1}/M_{q_1}, 45/L_{p}/M_{p}
}
{
\draw (\a-15:24m... | https://arxiv.org/abs/1104.3334 | arxiv | 2011-11-09T02:01:10 | |
Intervals I_i, and the type of edges in the graph H. | \documentclass[11pt]{article}
\usepackage{amsmath, amsthm, amssymb, enumerate}
\usepackage{tikz}
\usetikzlibrary{decorations,decorations.pathmorphing}
\begin{document}
\begin{tikzpicture}
% Circle
\draw [thick] (0:25mm) arc (0:360:25mm);
% Intervals
\foreach \a / \b / \t / \c in {
20/140/Red/20, 200/320/Bl... | https://arxiv.org/abs/1104.3334 | arxiv | 2011-11-09T02:01:10 | |
Two overlapping semi-triangles which give a contradicting cycle. | \documentclass[11pt]{article}
\usepackage{amsmath, amsthm, amssymb, enumerate}
\usepackage{tikz}
\usetikzlibrary{decorations,decorations.pathmorphing}
\begin{document}
\begin{tikzpicture}
% Intervals
\foreach \a / \t in {
15/I_r', 150/I_q', 270/I_p', 240/I_i', 340/I_j', 300/I_k'
}
{
\draw (\a-10:24mm) -... | https://arxiv.org/abs/1104.3334 | arxiv | 2011-11-09T02:01:10 | |
Contradicting cycles for a red edge, and two crossing blue edges in H. | \documentclass[11pt]{article}
\usepackage{amsmath, amsthm, amssymb, enumerate}
\usepackage{tikz}
\usetikzlibrary{decorations,decorations.pathmorphing}
\begin{document}
\begin{tikzpicture}
% Intervals
\foreach \a/\j/\k in {
0/y_2/y_1, 70/y_4/y_3, 180/x_2/x_1, 270/x_4/x_3
}
{
\draw (\a-15:24mm) -- (\a-15:... | https://arxiv.org/abs/1104.3334 | arxiv | 2011-11-09T02:01:10 | |
Illustration of the proof of Lemma~lemma:bad-event; the situation in G is on the left, and the situation in G' is on the right. | \documentclass[11pt,a4paper]{article}
\usepackage{amsmath,amsbsy,bm,latexsym,enumerate}
\usepackage[utf8x]{inputenc}
\usepackage{graphicx,epsfig,color}
\usepackage{tikz}
\usetikzlibrary{calc}
\usetikzlibrary{intersections}
\begin{document}
\begin{tikzpicture}
\begin{scope}
\node[draw,shape=circle] (V) at (0... | https://arxiv.org/abs/1203.1525 | arxiv | 2012-03-08T02:03:19 | |
Kin(4) | \documentclass[12pt,a4paper,oneside,openright]{book}
\usepackage{amsmath}
\usepackage{amssymb, amsthm, paralist, mathrsfs}
\usepackage{tikz}
\usetikzlibrary{calc, shapes.geometric}
\begin{document}
\begin{tikzpicture}[thin,line join=round]
\coordinate (o) at (0,0);
\coordinate[label=$V_1$] (v1) at (150:3);
\coordinat... | https://arxiv.org/abs/1401.0500 | arxiv | 2014-01-03T02:14:13 | |
Kin(5) | \documentclass[12pt,a4paper,oneside,openright]{book}
\usepackage{amsmath}
\usepackage{amssymb, amsthm, paralist, mathrsfs}
\usepackage{tikz}
\usetikzlibrary{calc, shapes.geometric}
\begin{document}
\begin{tikzpicture}[thin,line join=round]
\coordinate (a) at (0,0);
\coordinate (b) at (5,0);
\coordinate (c) at (0,3);
... | https://arxiv.org/abs/1401.0500 | arxiv | 2014-01-03T02:14:13 | |
Vector fields and | \documentclass{article}
\usepackage{amsmath, amsthm}
\usepackage{amssymb}
\usepackage{color}
\usepackage{tikz}
\usetikzlibrary{intersections}
\begin{document}
\begin{tikzpicture}[scale=0.85]
\draw (1, 4) to [out=-50,in=180] (6, 1);
\draw (6, 1) to [out=0, in=-45] (6, 6.5);
\draw (6, 6.5) to [out=... | https://arxiv.org/abs/1303.2135 | arxiv | 2013-03-12T01:00:22 | |
Regions in the global space . The left and right sides are identified. The white square: a copy of the Minkowski space. Black: a double cone O. Dark gray: the spacelike complement O' of the double cone in the Minkowski space. Light gray + dark gray: the causal complement O^ in . | \documentclass[12pt]{article}
\usepackage{a4wide, amsmath,amsthm,amsfonts,amscd,amssymb,eucal,bbm,mathrsfs, enumerate}
\usepackage{graphicx,tikz}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}[scale=0.6, line cap=round,line join=round,>=triangle 45,x=1.0cm,y=1.0cm]
\clip(-5,-5) rectangle (10,7);
\fill[f... | https://arxiv.org/abs/1310.4744 | arxiv | 2015-02-09T02:12:18 | |
The global space projected on the two-dimensional cylinder. The region surrounded by thick lines is a copy of the Minkowski space. | \documentclass[12pt]{article}
\usepackage{a4wide, amsmath,amsthm,amsfonts,amscd,amssymb,eucal,bbm,mathrsfs, enumerate}
\usepackage{graphicx,tikz}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}[scale=0.8, line cap=round,line join=round,>=triangle 45,x=1.0cm,y=1.0cm]
\clip(-4,-2) rectangle (2,6);
\draw [l... | https://arxiv.org/abs/1310.4744 | arxiv | 2015-02-09T02:12:18 | |
How asymptotic fields are constructed. A local observable in a dark gray region is taken in the region between the cones indicated by dotted lines. | \documentclass[12pt]{article}
\usepackage{a4wide, amsmath,amsthm,amsfonts,amscd,amssymb,eucal,bbm,mathrsfs, enumerate}
\usepackage{graphicx,tikz}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}[scale=0.5, line cap=round,line join=round,>=triangle 45,x=1.0cm,y=1.0cm]
\clip(-15,-9) rectangle (15,9);
\draw ... | https://arxiv.org/abs/1310.4744 | arxiv | 2015-02-09T02:12:18 | |
Labelled Moment Polytope and Stacky Fan of C P(1,k). | \documentclass[12pt]{amsart}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{patterns,snakes,arrows}
\usepackage{latexsym, amsmath, amsthm, graphics, amsxtra, pb-diagram}
\begin{document}
\begin{tikzpicture}
\draw (-1,0) node[left] {1} -- (1,0) node[right] {k};
\draw (0, 0) node[above] {0};
\draw (0, -0.2) ... | https://arxiv.org/abs/1211.3204 | arxiv | 2012-11-15T02:01:21 | |
Labelled Moment Polytope and Stacky Fan of C P(a,b). | \documentclass[12pt]{amsart}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{patterns,snakes,arrows}
\usepackage{latexsym, amsmath, amsthm, graphics, amsxtra, pb-diagram}
\begin{document}
\begin{tikzpicture}
\draw (-1,0) node[left] {a} -- (1,0) node[right] {b};
\draw[snake=brace, raise snake=3, mirror snake]... | https://arxiv.org/abs/1211.3204 | arxiv | 2012-11-15T02:01:21 | |
Moment Polytope and Fan of F_2. | \documentclass[12pt]{amsart}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{patterns,snakes,arrows}
\usepackage{latexsym, amsmath, amsthm, graphics, amsxtra, pb-diagram}
\begin{document}
\begin{tikzpicture}
\draw (-6,0) node[below left] {$(-\frac{2}{3}\lambda,-\frac{1}{3}\lambda)$} -- (-4,0) node[below righ... | https://arxiv.org/abs/1211.3204 | arxiv | 2012-11-15T02:01:21 | |
An interval process at time t. | \documentclass[a4paper, twoside]{memoir}
\usepackage[latin1]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{positioning, fit, decorations.pathmorphing, calc}
\tikzset{x=1em, y=1em, % small grid for situations
>=latex}
\usepackage[bookmarksnumbered, backref=page, col... | https://arxiv.org/abs/1403.0193 | arxiv | 2014-03-04T02:07:10 | |
Two confluent reactions. | \documentclass[a4paper, twoside]{memoir}
\usepackage[latin1]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{positioning, fit, decorations.pathmorphing, calc}
\tikzset{x=1em, y=1em, % small grid for situations
>=latex}
\usepackage[bookmarksnumbered, backref=page, col... | https://arxiv.org/abs/1403.0193 | arxiv | 2014-03-04T02:07:10 | |
Elementary oriented plaquette. | \documentclass{article}
\usepackage{amsmath,amssymb}
\usepackage{tikz}
\newcommand{\bde}{\boldsymbol{e}}
\newcommand{\drawDiamond}[1]{
\shade[ball color=black] (#1) circle (0.08);
}
\newcommand{\bn}{\boldsymbol{n}}
\begin{document}
\begin{tikzpicture}[every node/.style={minimum size=1cm},scale=2]
\begin{scope}[ev... | https://arxiv.org/abs/1312.1440 | arxiv | 2013-12-06T02:03:48 | |
Elementary oriented cube. | \documentclass{article}
\usepackage{amsmath,amssymb}
\usepackage{tikz}
\newcommand{\bde}{\boldsymbol{e}}
\newcommand{\drawDot}[1]{
\shade[ball color=black] (#1) circle (0.08);
}
\newcommand{\bn}{\boldsymbol{n}}
\begin{document}
\begin{tikzpicture}[every node/.style={minimum size=1cm},scale=2]
%%% back faces %%%
%... | https://arxiv.org/abs/1312.1440 | arxiv | 2013-12-06T02:03:48 | |
Sch\"onhardt polyhedron obtained from an octahedron (on the left) by removing tetrahedra [ABB'C], [AA'B'C'], and [A'BCC']. | \documentclass[10pt,twoside,a4paper,reqno]{amsart}
\usepackage[T1]{fontenc}
\usepackage{enumerate,url,amsfonts,amsthm,amsmath,amssymb,amscd, color}
\usepackage{tikz}
\usetikzlibrary{calc}
\newcommand{\coorshifting}{
\coordinate (AA) at ($(A)+(S1)$);
\coordinate (AAp) at ($(Ap)+(S1)$);
\coordinate (BB) at ($(B)+(S1)$);... | https://arxiv.org/abs/1210.3193 | arxiv | 2012-10-12T02:03:48 | |
The bimodule for (). Arrows coming from the same term in x or y are parallel. | \documentclass[12pt]{amsart}
\usepackage{amssymb}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage[bookmarks=true, bookmarksopen=true,%
bookmarksdepth=3,bookmarksopenlevel=2,%
colorlinks=true,%
linkcolor=blue,%
citecolor=blue,%
filecolor=blue,%
menucolor=blue,%
urlcolor=blue]... | https://arxiv.org/abs/1005.1248 | arxiv | 2011-08-02T02:03:06 | |
The function g_s. | \documentclass[a4paper,12pt]{amsart}
\usepackage{latexsym, amsfonts, amsmath, amsthm, amssymb, verbatim}
\usepackage{tikz, float}
\usetikzlibrary{plotmarks}
\begin{document}
\begin{tikzpicture}[scale=1.4]
%axis
\draw (-3.5,0) -- coordinate (x axis mid) (3.5,0);
\draw (0,-0.5) -- coordinate (y axis mid) (0,1.5... | https://arxiv.org/abs/1312.1806 | arxiv | 2013-12-09T02:04:21 | |
Diagram for Lemma pasting-lemma-ac. | \documentclass[a4paper,12pt]{amsart}
\usepackage{latexsym, amsfonts, amsmath, amsthm, amssymb, verbatim}
\usepackage{tikz, float}
\usetikzlibrary{plotmarks}
\begin{document}
\begin{tikzpicture}[scale=1]
% the intersection point is at (11,2)
\begin{scope}
\clip (0,2) rectangle (6,4);
\fill[blue!20,... | https://arxiv.org/abs/1312.1806 | arxiv | 2013-12-09T02:04:21 | |
The triangulation A used in the proof of Theorem C1-R. | \documentclass[a4paper,12pt]{amsart}
\usepackage{latexsym, amsfonts, amsmath, amsthm, amssymb, verbatim}
\usepackage{tikz, float}
\usetikzlibrary{plotmarks}
\begin{document}
\begin{tikzpicture}[xscale=1]
\draw[thick,blue] (0,0) -- (0,4) -- (4,4) -- (4,0) -- (0,0);
\draw (1,0) -- (1,4);
\draw (2,0) -- (2,4);
... | https://arxiv.org/abs/1312.1806 | arxiv | 2013-12-09T02:04:21 | |
The classification of points with respect to a triangulation. | \documentclass[a4paper,12pt]{amsart}
\usepackage{latexsym, amsfonts, amsmath, amsthm, amssymb, verbatim}
\usepackage{tikz, float}
\usetikzlibrary{plotmarks}
\newcommand{\vecx}{{\boldsymbol{x}}}
\begin{document}
\begin{tikzpicture}[scale=2]
\draw[thick,blue] (0,0) -- (0,2) -- (2,2) -- (2,0) -- (0,0);
\draw[thick,b... | https://arxiv.org/abs/1312.1806 | arxiv | 2013-12-09T02:04:21 | |
Sectors meeting at the vertex x. | \documentclass[a4paper,12pt]{amsart}
\usepackage{latexsym, amsfonts, amsmath, amsthm, amssymb, verbatim}
\usepackage{tikz, float}
\usetikzlibrary{plotmarks}
\newcommand{\vecx}{{\boldsymbol{x}}}
\begin{document}
\begin{tikzpicture}[scale=1]
\fill[blue!20] (2,0) -- (2,2) -- (4,1) -- (4,0) -- (2,0);
\draw (3.5,0.2)... | https://arxiv.org/abs/1312.1806 | arxiv | 2013-12-09T02:04:21 | |
In this example J_1 = \{1,5\}, J_2 = \{3,7\}, J_3 = \{2,4,6,8\} and S_1 = [x_0,x_1,x_4,x_5]. | \documentclass[a4paper,12pt]{amsart}
\usepackage{latexsym, amsfonts, amsmath, amsthm, amssymb, verbatim}
\usepackage{tikz, float}
\usetikzlibrary{plotmarks}
\newcommand{\vecx}{{\boldsymbol{x}}}
\begin{document}
\begin{tikzpicture}[scale=1]
%
% Left picture
%
\draw[red] (0,0) -- (7,0) -- (7,4) -- (0,4) -- (0,0);
\... | https://arxiv.org/abs/1312.1806 | arxiv | 2013-12-09T02:04:21 | |
The representation of a probability measure in P. | \documentclass[12pt]{article}
\usepackage{amsfonts, amssymb, amsmath, amsthm}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usepackage{color,hyperref}
\begin{document}
\begin{tikzpicture}[baseline=(current bounding box.center)]
\node (1) at (0,0) {$1$};
\node (X) at (3,0) {$X$};
\draw[->,above]... | https://arxiv.org/abs/1312.1445 | arxiv | 2013-12-06T02:03:56 | |
The tensor product of a conditional with an identity map in P. | \documentclass[12pt]{article}
\usepackage{amsfonts, amssymb, amsmath, amsthm}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usepackage{color,hyperref}
\begin{document}
\begin{tikzpicture}[baseline=(current bounding box.center)]
\node (1) at (0,0) {$X$};
\node (X) at (-3,-3) {$X$};
\node (Y... | https://arxiv.org/abs/1312.1445 | arxiv | 2013-12-06T02:03:56 |
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