caption stringlengths 0 5.16k | code stringlengths 99 1.67M | image imagewidth (px) 336 336 | uri stringlengths 21 93 | origin stringclasses 9
values | date timestamp[us] |
|---|---|---|---|---|---|
The relationship between the graph map, point evaluations, and constant graph maps. | \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 (YX) at (-2,0) {$Y^X$};
\node (XYX) at (2,0) {$(X \otimes Y)^X$};
\no... | https://arxiv.org/abs/1312.1445 | arxiv | 2013-12-06T02:03:56 | |
The generic Bayesian model. | \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 (0,2) {$1$};
\node (H) at (-2,0) {$H$};
... | https://arxiv.org/abs/1312.1445 | arxiv | 2013-12-06T02:03:56 | |
The commutativity of these diagrams, together with the measurability of the constant functions and constant graph functions, implies the projection maps _X and _Y are measurable. | \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 (X) at (2,0) {$X$};
\node (Y) at (5,-3) {$Y$... | https://arxiv.org/abs/1312.1445 | arxiv | 2013-12-06T02:03:56 | |
The additional conditions required for a symmetric monoidal category. | \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 (XY) at (-1,0) {$(X \square Y) \square Z$};
\node (YW) at ... | https://arxiv.org/abs/1312.1445 | arxiv | 2013-12-06T02:03:56 | |
The commutativity of both triangles, the measurability of f and ev_x, and the induced -algebra of X Y^X implies the measurability of ev. | \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 (X) at (-3,0) {$X$};
\node (YX) at (3,0) ... | https://arxiv.org/abs/1312.1445 | arxiv | 2013-12-06T02:03:56 | |
The defining characteristic property of the evaluation function ev for tensor products of conditionals 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 (X) at (0,-3) {$X \otimes Z$};
\node (XY) at (0,0) {$ X ... | https://arxiv.org/abs/1312.1445 | arxiv | 2013-12-06T02:03:56 | |
The defining property of a Gaussian Process is the commutativity of a P diagram. | \documentclass[12pt]{article}
\usepackage{amsfonts, amssymb, amsmath, amsthm}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usepackage{color,hyperref}
\newcommand{\xv}{\mathbf{x}}
\begin{document}
\begin{tikzpicture}[baseline=(current bounding box.center)]
\node (1) at (-1,0) {$1$};
\n... | https://arxiv.org/abs/1312.1445 | arxiv | 2013-12-06T02:03:56 | |
The tensor product of conditional 1_X and P 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 (XZ) at (0,0) {$X \otimes Z$};
\node (X) at (-3,0) {$X$};
\node ... | https://arxiv.org/abs/1312.1445 | arxiv | 2013-12-06T02:03:56 | |
The evaluation function ev sets up a bijective correspondence between the two measurable maps f and f. | \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 (X) at (0,-3) {$X \otimes Z$};
\node (XY) at (0,0) {$ X ... | https://arxiv.org/abs/1312.1445 | arxiv | 2013-12-06T02:03:56 | |
The defining characteristic property of the evaluation function ev for graphs. | \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 (X) at (0,-3) {$X \cong X \otimes 1$};
\node (XY) at (0,0) ... | https://arxiv.org/abs/1312.1445 | arxiv | 2013-12-06T02:03:56 | |
The noise free sampling distribution S_nf. | \documentclass[12pt]{article}
\usepackage{amsfonts, amssymb, amsmath, amsthm}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usepackage{color,hyperref}
\newcommand{\mcS}{\mathcal{S}}
\begin{document}
\begin{tikzpicture}[baseline=(current bounding box.center)]
\node (XYX2) at (0,0) {$X \otimes Y^X$};
... | https://arxiv.org/abs/1312.1445 | arxiv | 2013-12-06T02:03:56 | |
The sampling distribution model in P with additive Gaussian noise. | \documentclass[12pt]{article}
\usepackage{amsfonts, amssymb, amsmath, amsthm}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usepackage{color,hyperref}
\newcommand{\mcS}{\mathcal{S}}
\begin{document}
\begin{tikzpicture}[baseline=(current bounding box.center)]
\node (XYX) at (1,0) {$X \otimes Y^X$};
... | https://arxiv.org/abs/1312.1445 | arxiv | 2013-12-06T02:03:56 | |
The categorical characterization of a joint normal distribution. | \documentclass[12pt]{article}
\usepackage{amsfonts, amssymb, amsmath, amsthm}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usepackage{color,hyperref}
\newcommand{\NN}{\mathcal{N}}
\newcommand{\sa}{\Sigma}
\newcommand{\mcS}{\mathcal{S}}
\newcommand{\mcI}{\mathcal{I}}
\begin{document}
\begin{tikzpicture}[baseline=(cu... | https://arxiv.org/abs/1312.1445 | arxiv | 2013-12-06T02:03:56 | |
The defining characteristic property of the evaluation function ev for graphs. | \documentclass[12pt]{article}
\usepackage{amsfonts, amssymb, amsmath, amsthm}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usepackage{color,hyperref}
\newcommand{\mcS}{\mathcal{S}}
\begin{document}
\begin{tikzpicture}[baseline=(current bounding box.center)]
\node (X1) at (0,-3) {$X \otimes 1$};
\node (... | https://arxiv.org/abs/1312.1445 | arxiv | 2013-12-06T02:03:56 | |
The substitution/evaluation relation. | \documentclass[12pt]{article}
\usepackage{amsfonts, amssymb, amsmath, amsthm}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usepackage{color,hyperref}
\newcommand{\xv}{\mathbf{x}}
\newcommand{\fn}{\ulcorner f \urcorner}
\begin{document}
\begin{tikzpicture}[baseline=(current bounding box.center)]
\no... | https://arxiv.org/abs/1312.1445 | arxiv | 2013-12-06T02:03:56 | |
The generic nonparametric Bayesian model for stochastic processes. | \documentclass[12pt]{article}
\usepackage{amsfonts, amssymb, amsmath, amsthm}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usepackage{color,hyperref}
\newcommand{\xv}{\mathbf{x}}
\newcommand{\mcS}{\mathcal{S}}
\begin{document}
\begin{tikzpicture}[baseline=(current bounding box.center)]
\node (X) a... | https://arxiv.org/abs/1312.1445 | arxiv | 2013-12-06T02:03:56 | |
The additive Gaussian noise measurement model. | \documentclass[12pt]{article}
\usepackage{amsfonts, amssymb, amsmath, amsthm}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usepackage{color,hyperref}
\newcommand{\NN}{\mathcal{N}}
\begin{document}
\begin{tikzpicture}[baseline=(current bounding box.center)]
\node (1) at (0,0) {$1$};
\node (Y) a... | https://arxiv.org/abs/1312.1445 | arxiv | 2013-12-06T02:03:56 | |
The generic parametric Bayesian model. | \documentclass[12pt]{article}
\usepackage{amsfonts, amssymb, amsmath, amsthm}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usepackage{color,hyperref}
\newcommand{\Rp}{\mathbb{R}^{^p}}
\newcommand{\xv}{\mathbf{x}}
\newcommand{\mcS}{\mathcal{S}}
\begin{document}
\begin{tikzpicture}[baseline=(current bounding box.cente... | https://arxiv.org/abs/1312.1445 | arxiv | 2013-12-06T02:03:56 | |
The noise free sampling distributions S^x given the prior _x P with the dirac measure on the X component. | \documentclass[12pt]{article}
\usepackage{amsfonts, amssymb, amsmath, amsthm}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usepackage{color,hyperref}
\newcommand{\mcSS}{\mathcal{S}^{\mathbf{x}}}
\newcommand{\xv}{\mathbf{x}}
\begin{document}
\begin{tikzpicture}[baseline=(current bounding box.center)]
\node (... | https://arxiv.org/abs/1312.1445 | arxiv | 2013-12-06T02:03:56 | |
Construction of the generic Markov kernel N for modeling the Gaussian additive measurement noise. | \documentclass[12pt]{article}
\usepackage{amsfonts, amssymb, amsmath, amsthm}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usepackage{color,hyperref}
\newcommand{\GP}{\mathcal{G}\mathcal{P}}
\newcommand{\xv}{\mathbf{x}}
\newcommand{\NN}{\mathcal{N}}
\begin{document}
\begin{tikzpicture}[baseline=(current bounding box... | https://arxiv.org/abs/1312.1445 | arxiv | 2013-12-06T02:03:56 | |
The distribution P GP(m,k) can be evaluated on rectangles U=A B by projecting onto the given x coordinate. | \documentclass[12pt]{article}
\usepackage{amsfonts, amssymb, amsmath, amsthm}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usepackage{color,hyperref}
\newcommand{\GP}{\mathcal{G}\mathcal{P}}
\newcommand{\xv}{\mathbf{x}}
\newcommand{\NN}{\mathcal{N}}
\begin{document}
\begin{tikzpicture}[baseline=(current bounding box... | https://arxiv.org/abs/1312.1445 | arxiv | 2013-12-06T02:03:56 | |
The parametric model sampling distribution as a composite of four components. | \documentclass[12pt]{article}
\usepackage{amsfonts, amssymb, amsmath, amsthm}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usepackage{color,hyperref}
\newcommand{\Rp}{\mathbb{R}^{^p}}
\newcommand{\xv}{\mathbf{x}}
\newcommand{\mcS}{\mathcal{S}}
\begin{document}
\begin{tikzpicture}[baseline=(current bounding box.cente... | https://arxiv.org/abs/1312.1445 | arxiv | 2013-12-06T02:03:56 | |
The composite of the prior and noise measurement model is the graph of a GP at x. | \documentclass[12pt]{article}
\usepackage{amsfonts, amssymb, amsmath, amsthm}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usepackage{color,hyperref}
\newcommand{\xv}{\mathbf{x}}
\begin{document}
\begin{tikzpicture}[baseline=(current bounding box.center)]
\node (X) at (0,0) {$1$};
\node (X1) at ... | https://arxiv.org/abs/1312.1445 | arxiv | 2013-12-06T02:03:56 | |
The GP N_f can be evaluated on rectangles U=A B by projecting onto the given x coordinate. | \documentclass[12pt]{article}
\usepackage{amsfonts, amssymb, amsmath, amsthm}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usepackage{color,hyperref}
\newcommand{\GP}{\mathcal{G}\mathcal{P}}
\newcommand{\xv}{\mathbf{x}}
\newcommand{\NN}{\mathcal{N}}
\begin{document}
\begin{tikzpicture}[baseline=(current bounding box... | https://arxiv.org/abs/1312.1445 | arxiv | 2013-12-06T02:03:56 | |
Each GP P_Y^X^1, which is parameterized by a measurement (x,y) X Y, determines a conditional P_Y^X^1. | \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 (-.2,0) {$X \otimes Y$};
\node (YX) at (2.7,0) {$Y^X... | https://arxiv.org/abs/1312.1445 | arxiv | 2013-12-06T02:03:56 | |
The Gaussian additive noise parametric sampling distributions S^x_p viewed as a family of sampling distributions, one for each x X. | \documentclass[12pt]{article}
\usepackage{amsfonts, amssymb, amsmath, amsthm}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usepackage{color,hyperref}
\newcommand{\Rp}{\mathbb{R}^{^p}}
\newcommand{\xv}{\mathbf{x}}
\newcommand{\mcSS}{\mathcal{S}^{\mathbf{x}}}
\begin{document}
\begin{tikzpicture}[baseline=(current boun... | https://arxiv.org/abs/1312.1445 | arxiv | 2013-12-06T02:03:56 | |
The composite of the prior distribution P GP(m,k) and the sampling distribution S^x give the coordinate projections as priors on Y. | \documentclass[12pt]{article}
\usepackage{amsfonts, amssymb, amsmath, amsthm}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usepackage{color,hyperref}
\newcommand{\GP}{\mathcal{G}\mathcal{P}}
\newcommand{\mcSS}{\mathcal{S}^{\mathbf{x}}}
\newcommand{\xv}{\mathbf{x}}
\newcommand{\mcII}{\mathcal{I}^{\mathbf{x}}}
\newcom... | https://arxiv.org/abs/1312.1445 | arxiv | 2013-12-06T02:03:56 | |
A Markov transformation as the image of a P valued Functor. | \documentclass[12pt]{article}
\usepackage{amsfonts, amssymb, amsmath, amsthm}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usepackage{color,hyperref}
\newcommand{\F}{\mathcal{F}}
\begin{document}
\begin{tikzpicture}[baseline=(current bounding box.center)]
\node (x1) at (0,0) {$\F(t_1)$};
\node ... | https://arxiv.org/abs/1312.1445 | arxiv | 2013-12-06T02:03:56 | |
A Markov model as the image of a stochastic process. | \documentclass[12pt]{article}
\usepackage{amsfonts, amssymb, amsmath, amsthm}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usepackage{color,hyperref}
\newcommand{\F}{\mathcal{F}}
\begin{document}
\begin{tikzpicture}[baseline=(current bounding box.center)]
\node (1) at (4.5, 3) {$1$};
... | https://arxiv.org/abs/1312.1445 | arxiv | 2013-12-06T02:03:56 | |
Proving the joint distribution _ev_x ev_z_Y^ P = P(ev_x^-1() ev_z^-1())) is a normal distribution N(u, ). | \documentclass[12pt]{article}
\usepackage{amsfonts, amssymb, amsmath, amsthm}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usepackage{color,hyperref}
\newcommand{\xv}{\mathbf{x}}
\newcommand{\zv}{\mathbf{z}}
\newcommand{\NN}{\mathcal{N}}
\begin{document}
\begin{tikzpicture}[baseline=(current bounding box.center)]
... | https://arxiv.org/abs/1312.1445 | arxiv | 2013-12-06T02:03:56 | |
The restriction of Pi^-1. | \documentclass[12pt]{article}
\usepackage{amsfonts, amssymb, amsmath, amsthm}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usepackage{color,hyperref}
\newcommand{\Rn}{\mathbb{R}^{^n}}
\newcommand{\xv}{\mathbf{x}}
\begin{document}
\begin{tikzpicture}[baseline=(current bounding box.center)]
\node (1) at (... | https://arxiv.org/abs/1312.1445 | arxiv | 2013-12-06T02:03:56 | |
Splitting the Gaussian additive noise Bayesian model (top diagram) into two separate Bayesian models (bottom two diagrams) and composing the inference maps for these two simple Bayesian models gives the inference map for the original Gaussian additive Bayesian model. | \documentclass[12pt]{article}
\usepackage{amsfonts, amssymb, amsmath, amsthm}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usepackage{color,hyperref}
\newcommand{\NN}{\mathcal{N}}
\newcommand{\xv}{\mathbf{x}}
\newcommand{\mcSS}{\mathcal{S}^{\mathbf{x}}}
\newcommand{\mcI}{\mathcal{I}}
\begin{document}
\begin{tikzpic... | https://arxiv.org/abs/1312.1445 | arxiv | 2013-12-06T02:03:56 | |
An arrow in P^T is a natural transformation. | \documentclass[12pt]{article}
\usepackage{amsfonts, amssymb, amsmath, amsthm}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usepackage{color,hyperref}
\newcommand{\F}{\mathcal{F}}
\newcommand{\G}{\mathcal{G}}
\begin{document}
\begin{tikzpicture}[baseline=(current bounding box.center)]
\node (x1) at (0,0) ... | https://arxiv.org/abs/1312.1445 | arxiv | 2013-12-06T02:03:56 | |
The inference map for the parametric model is a composite of two inference maps. | \documentclass[12pt]{article}
\usepackage{amsfonts, amssymb, amsmath, amsthm}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usepackage{color,hyperref}
\newcommand{\Rn}{\mathbb{R}^{^n}}
\newcommand{\mcSS}{\mathcal{S}^{\mathbf{x}}}
\newcommand{\mcI}{\mathcal{I}}
\newcommand{\mcII}{\mathcal{I}^{\mathbf{x}}}
\newcommand{... | https://arxiv.org/abs/1312.1445 | arxiv | 2013-12-06T02:03:56 | |
The hidden Markov model viewed in P. | \documentclass[12pt]{article}
\usepackage{amsfonts, amssymb, amsmath, amsthm}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usepackage{color,hyperref}
\newcommand{\F}{\mathcal{F}}
\newcommand{\mcS}{\mathcal{S}}
\newcommand{\mcI}{\mathcal{I}}
\begin{document}
\begin{tikzpicture}
\node (1) at (0,2) {$1$};
... | https://arxiv.org/abs/1312.1445 | arxiv | 2013-12-06T02:03:56 | |
Five unit squares are completely contained in a right triangle of sides 7 and 73, corresponding to a = 7 and b = 3. In other words 5 = V(7,3)(see Definition def:functionW). | \documentclass[reqno,a4paper]{amsart}
\usepackage{mathrsfs,amsmath,amssymb,graphicx}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[scale=0.6]
\draw[very thick] (0,0) -- (7,0) -- (0,2.333) -- (0,0);
\foreach \x in {0,...,3}
\draw[gray,xshift=\x cm, yshift=0 cm] (0,0) -- (1,0) -- (1,1) -- (0,1) -- (0,0) -- (1... | https://arxiv.org/abs/1310.8088 | arxiv | 2015-04-22T02:08:25 | |
The three possible forms for a level-2 Coxeter graph with 2 cycles. | \documentclass[a4paper,10pt,twoside]{amsart}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{arrows,positioning,decorations.text,calc}
\begin{document}
\begin{tikzpicture}[scale=0.6]
\draw (-4,1.2) circle (.8);
\draw (-4,-1.2) circle (.8);
\draw (-4,.4)--(-4,-.4);
\draw (0,... | https://arxiv.org/abs/1310.8608 | arxiv | 2014-09-05T02:03:38 | |
Simple roots, fundamental weights, and positive roots of depth 6 of a geometric Coxeter system of rank~3 seen in the affine space spanned by the simple roots. The Coxeter graph is shown in the upper-left corner. | \documentclass[a4paper,10pt,twoside]{amsart}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{arrows,positioning,decorations.text,calc}
\begin{document}
\begin{tikzpicture}
[scale=1.5,
q/.style={black,line join=round,thin},
racine/.style={red},
poid/.style={blue},
racinesimple/.st... | https://arxiv.org/abs/1310.8608 | arxiv | 2014-09-05T02:03:38 | |
Configuración inicial del sistema. | \documentclass[a4paper,twocolumn,12pt]{article}
\usepackage[latin1]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amsmath}
\usepackage{tikz,fp,ifthen,fullpage}
\usetikzlibrary{arrows,snakes,backgrounds}
\usepackage{pgfplots}
\usetikzlibrary{shapes,trees}
\usetikzlibrary{calc,through,backgrounds,decorations}
\usetikzli... | https://arxiv.org/abs/1208.1772 | arxiv | 2012-11-30T02:00:55 | |
Posición de la mosca y los dos trenes justo cuando la mosca toca el tren B por primera vez. | \documentclass[a4paper,twocolumn,12pt]{article}
\usepackage[latin1]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amsmath}
\usepackage{tikz,fp,ifthen,fullpage}
\usetikzlibrary{arrows,snakes,backgrounds}
\usepackage{pgfplots}
\usetikzlibrary{shapes,trees}
\usetikzlibrary{calc,through,backgrounds,decorations}
\usetikzli... | https://arxiv.org/abs/1208.1772 | arxiv | 2012-11-30T02:00:55 | |
Configuración inicial después de que la mosca regresa al tren A por primera vez. | \documentclass[a4paper,twocolumn,12pt]{article}
\usepackage[latin1]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amsmath}
\usepackage{tikz,fp,ifthen,fullpage}
\usetikzlibrary{arrows,snakes,backgrounds}
\usepackage{pgfplots}
\usetikzlibrary{shapes,trees}
\usetikzlibrary{calc,through,backgrounds,decorations}
\usetikzli... | https://arxiv.org/abs/1208.1772 | arxiv | 2012-11-30T02:00:55 | |
Nueva configuración inicial. | \documentclass[a4paper,twocolumn,12pt]{article}
\usepackage[latin1]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amsmath}
\usepackage{tikz,fp,ifthen,fullpage}
\usetikzlibrary{arrows,snakes,backgrounds}
\usepackage{pgfplots}
\usetikzlibrary{shapes,trees}
\usetikzlibrary{calc,through,backgrounds,decorations}
\usetikzli... | https://arxiv.org/abs/1208.1772 | arxiv | 2012-11-30T02:00:55 | |
Combining two cycles, and rotating a path. | \documentclass[11pt]{article}
\usepackage{amsmath, amsthm, amssymb}
\usepackage{tikz}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}
%%
%% Second
%%
\def\xendtwo{8 cm}
\def\yshifttwo{2.2 cm}
\draw [color=white] (0,0) circle(0.1mm);
\foreach \x in {0.0,0.8,...,8.8} {
\draw [fill=blac... | https://arxiv.org/abs/1103.5522 | arxiv | 2012-03-30T02:03:52 | |
A forbidden structure | \documentclass{article}
\usepackage{graphicx,float,color,fancybox,shapepar,setspace,hyperref}
\usepackage{pgf,tikz}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}[line cap=round,line join=round,>=triangle 45,x=1.0cm,y=1.0cm]
\clip(-0.6,0.62) rectangle (2.2,4.74);
\draw (0.82,3.62)-- (-0.4,2.58);
\draw (... | https://arxiv.org/abs/1304.6466 | arxiv | 2013-04-25T02:00:40 | |
Operation (B). | \documentclass{article}
\usepackage{graphicx,float,color,fancybox,shapepar,setspace,hyperref}
\usepackage{pgf,tikz}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}[line cap=round,line join=round,>=triangle 45,x=1.0cm,y=1.0cm]
\clip(-2.3,2.64) rectangle (4.24,5.24);
\draw (-2,5)-- (-1,4);
\draw (-1,4)-- (... | https://arxiv.org/abs/1304.6466 | arxiv | 2013-04-25T02:00:40 | |
Operation (C). | \documentclass{article}
\usepackage{graphicx,float,color,fancybox,shapepar,setspace,hyperref}
\usepackage{pgf,tikz}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}[line cap=round,line join=round,>=triangle 45,x=1.0cm,y=1.0cm]
\clip(-5.24,1.8) rectangle (6.16,4.24);
\draw [dash pattern=on 2pt off 2pt] (-5... | https://arxiv.org/abs/1304.6466 | arxiv | 2013-04-25T02:00:40 | |
Re-embedding of G | \documentclass{article}
\usepackage{graphicx,float,color,fancybox,shapepar,setspace,hyperref}
\usepackage{pgf,tikz}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}[line cap=round,line join=round,>=triangle 45,x=0.8cm,y=0.8cm]
\clip(-0.86,0.3) rectangle (8.08,4.56);
\draw (0.82,3.62)-- (-0.4,2.58);
\draw ... | https://arxiv.org/abs/1304.6466 | arxiv | 2013-04-25T02:00:40 | |
Operation (A) | \documentclass{article}
\usepackage{graphicx,float,color,fancybox,shapepar,setspace,hyperref}
\usepackage{pgf,tikz}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}[line cap=round,line join=round,>=triangle 45,x=1.0cm,y=1.0cm]
\clip(-3.24,0.96) rectangle (7.5,4.06);
\draw (1.68,2.78) node[anchor=north wes... | https://arxiv.org/abs/1304.6466 | arxiv | 2013-04-25T02:00:40 | |
(G) 5 | \documentclass{article}
\usepackage{graphicx,float,color,fancybox,shapepar,setspace,hyperref}
\usepackage{pgf,tikz}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}[line cap=round,line join=round,>=triangle 45,x=1.0cm,y=1.0cm]
\clip(-1.38,0.86) rectangle (3.5,4.12);
\draw (-0.94,2.46)-- (-0.22,3.2);
\draw... | https://arxiv.org/abs/1304.6466 | arxiv | 2013-04-25T02:00:40 | |
Another re-embedding of G | \documentclass{article}
\usepackage{graphicx,float,color,fancybox,shapepar,setspace,hyperref}
\usepackage{pgf,tikz}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}[line cap=round,line join=round,>=triangle 45,x=1.0cm,y=1.0cm]
\clip(-0.86,0.3) rectangle (8.16,4.56);
\draw (0.9,3.6)-- (-0.4,2.58);
\draw (0... | https://arxiv.org/abs/1304.6466 | arxiv | 2013-04-25T02:00:40 | |
An forbidden structure of G. | \documentclass{article}
\usepackage{graphicx,float,color,fancybox,shapepar,setspace,hyperref}
\usepackage{pgf,tikz}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}[line cap=round,line join=round,>=triangle 45,x=1.0cm,y=1.0cm]
\clip(-1.06,0.18) rectangle (2.88,4.14);
\draw (0.9,3.6)-- (-0.4,2.58);
\draw (... | https://arxiv.org/abs/1304.6466 | arxiv | 2013-04-25T02:00:40 | |
The square with whiskers. | \documentclass[10pt,a4paper]{article}
\usepackage{amsmath,amsxtra,amssymb,latexsym,amscd,amsfonts,multicol,enumerate,ifthen,indentfirst,amsthm,amstext}
\usepackage{multicol,color}
\usepackage{tikz}
\usepackage[T1]{fontenc}
\begin{document}
\begin{tikzpicture}
\draw (0,0) rectangle (2,2) ;
\draw (2,1) -- (3,1);
\draw ... | https://arxiv.org/abs/1306.3397 | arxiv | 2015-02-11T02:17:34 | |
The angle, an example of non-local convexity. | \documentclass[10pt,a4paper]{article}
\usepackage{amsmath,amsxtra,amssymb,latexsym,amscd,amsfonts,multicol,enumerate,ifthen,indentfirst,amsthm,amstext}
\usepackage{multicol,color}
\usepackage{tikz}
\usepackage[T1]{fontenc}
\begin{document}
\begin{tikzpicture}
\draw[thick] (0,0) -- (3,0) node[right]{$S_1$};
\draw[thic... | https://arxiv.org/abs/1306.3397 | arxiv | 2015-02-11T02:17:34 | |
Two tangent edges. | \documentclass[10pt,a4paper]{article}
\usepackage{amsmath,amsxtra,amssymb,latexsym,amscd,amsfonts,multicol,enumerate,ifthen,indentfirst,amsthm,amstext}
\usepackage{multicol,color}
\usepackage{tikz}
\usepackage[T1]{fontenc}
\begin{document}
\begin{tikzpicture}
\draw[thick] (0,0) arc (-90:0:2);
\draw[thick] (0,0)--(3,0... | https://arxiv.org/abs/1306.3397 | arxiv | 2015-02-11T02:17:34 | |
Convex, concave binary and concave ternary points, respectively. | \documentclass[10pt,a4paper]{article}
\usepackage{amsmath,amsxtra,amssymb,latexsym,amscd,amsfonts,multicol,enumerate,ifthen,indentfirst,amsthm,amstext}
\usepackage{multicol,color}
\usepackage{tikz}
\usepackage[T1]{fontenc}
\begin{document}
\begin{tikzpicture}
\fill[fill=black!35!white] (-2.5,0)--(-1.5,1)--(-2.5,1)--(... | https://arxiv.org/abs/1306.3397 | arxiv | 2015-02-11T02:17:34 | |
Non-convex polygon with concave binary irregular point. | \documentclass[10pt,a4paper]{article}
\usepackage{amsmath,amsxtra,amssymb,latexsym,amscd,amsfonts,multicol,enumerate,ifthen,indentfirst,amsthm,amstext}
\usepackage{multicol,color}
\usepackage{tikz}
\usepackage[T1]{fontenc}
\begin{document}
\begin{tikzpicture}[scale=0.8]
\draw (1.5,0)--(0,3) --(0,0)--(3,0)--(0,1.5);
\... | https://arxiv.org/abs/1306.3397 | arxiv | 2015-02-11T02:17:34 | |
Decomposition of S at a binary concave point on the exterior boundary. | \documentclass[10pt,a4paper]{article}
\usepackage{amsmath,amsxtra,amssymb,latexsym,amscd,amsfonts,multicol,enumerate,ifthen,indentfirst,amsthm,amstext}
\usepackage{multicol,color}
\usepackage{tikz}
\usepackage[T1]{fontenc}
\begin{document}
\begin{tikzpicture}[scale=1.5]
\draw (0,0)--(2,0) arc(0:90:1) arc(0:90:1)--(0,... | https://arxiv.org/abs/1306.3397 | arxiv | 2015-02-11T02:17:34 | |
Intersection of -neighborhood sets. | \documentclass[10pt,a4paper]{article}
\usepackage{amsmath,amsxtra,amssymb,latexsym,amscd,amsfonts,multicol,enumerate,ifthen,indentfirst,amsthm,amstext}
\usepackage{multicol,color}
\usepackage{tikz}
\usepackage[T1]{fontenc}
\begin{document}
\begin{tikzpicture}
\fill[fill=black!20!white] (2,0)--(0,0)--(-1.5,1.5)--(-1.5... | https://arxiv.org/abs/1306.3397 | arxiv | 2015-02-11T02:17:34 | |
L-shape. | \documentclass[10pt,a4paper]{article}
\usepackage{amsmath,amsxtra,amssymb,latexsym,amscd,amsfonts,multicol,enumerate,ifthen,indentfirst,amsthm,amstext}
\usepackage{multicol,color}
\usepackage{tikz}
\usepackage[T1]{fontenc}
\begin{document}
\begin{tikzpicture}[scale=0.6]
\draw (0,0)--(2,0)--(2,1)--(1,1)--(1,3)--(0,3)-... | https://arxiv.org/abs/1306.3397 | arxiv | 2015-02-11T02:17:34 | |
Example of a non-convex trihedral. | \documentclass[10pt,a4paper]{article}
\usepackage{amsmath,amsxtra,amssymb,latexsym,amscd,amsfonts,multicol,enumerate,ifthen,indentfirst,amsthm,amstext}
\usepackage{multicol,color}
\usepackage{tikz}
\usepackage[T1]{fontenc}
\begin{document}
\begin{tikzpicture}[scale=0.8]
\draw (0,0)--(2,0)--(3,1)--(3,3)--(1,3)--(0,2)-... | https://arxiv.org/abs/1306.3397 | arxiv | 2015-02-11T02:17:34 | |
Decomposition at a concave ternary point. | \documentclass[10pt,a4paper]{article}
\usepackage{amsmath,amsxtra,amssymb,latexsym,amscd,amsfonts,multicol,enumerate,ifthen,indentfirst,amsthm,amstext}
\usepackage{multicol,color}
\usepackage{tikz}
\usepackage[T1]{fontenc}
\begin{document}
\begin{tikzpicture}
\draw (0,0) rectangle (2,2) ;
\draw (2,1) -- (3,1);
\draw ... | https://arxiv.org/abs/1306.3397 | arxiv | 2015-02-11T02:17:34 | |
Decomposition at a concave point on the interior boundary. | \documentclass[10pt,a4paper]{article}
\usepackage{amsmath,amsxtra,amssymb,latexsym,amscd,amsfonts,multicol,enumerate,ifthen,indentfirst,amsthm,amstext}
\usepackage{multicol,color}
\usepackage{tikz}
\usepackage[T1]{fontenc}
\begin{document}
\begin{tikzpicture}
\draw (0,0)--(3,0)--(3,3)--(0,3)--(0,0);
\draw (2,1)--(1,1... | https://arxiv.org/abs/1306.3397 | arxiv | 2015-02-11T02:17:34 | |
Example of a dihedral. | \documentclass[10pt,a4paper]{article}
\usepackage{amsmath,amsxtra,amssymb,latexsym,amscd,amsfonts,multicol,enumerate,ifthen,indentfirst,amsthm,amstext}
\usepackage{multicol,color}
\usepackage{tikz}
\usepackage[T1]{fontenc}
\begin{document}
\begin{tikzpicture}
\draw (0,0)--(2,0)--(3,1)--(1,1)--(1,3)--(0,2)--(0,0);
\dr... | https://arxiv.org/abs/1306.3397 | arxiv | 2015-02-11T02:17:34 | |
At an angle point. | \documentclass[10pt,a4paper]{article}
\usepackage{amsmath,amsxtra,amssymb,latexsym,amscd,amsfonts,multicol,enumerate,ifthen,indentfirst,amsthm,amstext}
\usepackage{multicol,color}
\usepackage{tikz}
\usepackage[T1]{fontenc}
\begin{document}
\begin{tikzpicture}
\draw[thick] (0,0) -- (3,0) node[right]{$S_1$};
\draw[thic... | https://arxiv.org/abs/1306.3397 | arxiv | 2015-02-11T02:17:34 | |
Trajectories in string theory and point particle physics | \documentclass{article}
\usepackage{tikz}
\usetikzlibrary{decorations.pathmorphing}
\usetikzlibrary{decorations.markings}
\usetikzlibrary{shapes.multipart}
\usetikzlibrary{intersections}
\usetikzlibrary{calc}
\usetikzlibrary{positioning}
\begin{document}
\begin{tikzpicture}[yscale=0.5, every text node part/.style={al... | https://arxiv.org/abs/1207.0340 | arxiv | 2012-07-03T02:07:42 | |
The holonomy from the north pole to Africa, Indonesia and back to the north pole is a rotation by a right angle | \documentclass{article}
\usepackage{tikz}
\usetikzlibrary{decorations.pathmorphing}
\usetikzlibrary{decorations.markings}
\usetikzlibrary{shapes.multipart}
\usetikzlibrary{intersections}
\usetikzlibrary{calc}
\usetikzlibrary{positioning}
\begin{document}
\begin{tikzpicture}[vector/.style={->,thick,>=stealth,blue}]
... | https://arxiv.org/abs/1207.0340 | arxiv | 2012-07-03T02:07:42 | |
Information Chain in Trust Reasoning. | \documentclass[11pt,a4paper,twosides]{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{hhline,colortbl}
\usepackage{tikz}
\usetikzlibrary{arrows,decorations.pathreplacing,shapes,fit,backgrounds,shadows}
\usepackage{xcolor}
\begin{document}
\begin{tikzpicture}[
line/.style={thick,>=stealth'},
ova... | https://arxiv.org/abs/1207.0405 | arxiv | 2012-07-03T02:09:14 | |
An edge and a point chain | \documentclass{amsart}
\usepackage{amsmath, amssymb, amsthm}
\usepackage{tikz}
\usetikzlibrary{calc}
\newcommand{\Mbar}{\overline M}
\begin{document}
\begin{tikzpicture}
\fill (-2.5, 0) circle (2pt) node[left] {$0$} node[right] {$+1$}
(-2.5, 1) circle (2pt) node[left] {$\infty$} node[right] {$-1$};
\draw... | https://arxiv.org/abs/1306.6580 | arxiv | 2013-06-28T02:02:54 | |
The triangles T and T'. | \documentclass[psamsfonts]{amsart}
\usepackage{amssymb,amsfonts}
\usepackage{pgf}
\usepackage{pgfkeys}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usetikzlibrary{decorations.markings}
\usetikzlibrary{calc}
\pgfmathsetmacro{\octagonradius}{3}
\pgfmathsetmacro{\octagonbigradius}{\octagonradius/sin(67.5)}
\tikzset{nomorepo... | https://arxiv.org/abs/1306.6702 | arxiv | 2013-07-02T02:02:36 | |
The surfaces R(T) and R(T') for a base angle of 13. The arrows indicate edge orientations. Parallel edges are identified iff they share the same orientation. Labels are not shown. | \documentclass[psamsfonts]{amsart}
\usepackage{amssymb,amsfonts}
\usepackage{pgf}
\usepackage{pgfkeys}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usetikzlibrary{decorations.markings}
\usetikzlibrary{calc}
\pgfmathsetmacro{\octagonradius}{3}
\pgfmathsetmacro{\octagonbigradius}{\octagonradius/sin(67.5)}
\tikzset{nomorepo... | https://arxiv.org/abs/1306.6702 | arxiv | 2013-07-02T02:02:36 | |
A simple sensor network comprised of 4 nodes and 3 links in 2 dimensions. Nodes 1 to 3 are sensors; node 4 is an anchor (N_S=3, N_A=1, K_S=2, K_A=1). Eq.~eq:Xi shows the matrix for this network. | \documentclass[10pt,journal]{IEEEtran}
\usepackage[cmex10]{amsmath}
\usepackage{amssymb,bm,cite,tikz,commath}
\usetikzlibrary{patterns,calc}
\begin{document}
\begin{tikzpicture}[every rectangle node/.style={inner sep = 2pt, black}, every circle node/.style={inner sep = 1.6pt, red}, every path/.style={blue}]
\draw (1,... | https://arxiv.org/abs/1305.7272 | arxiv | 2014-03-17T01:08:58 | |
Geometry of one sensor node and three anchor nodes. | \documentclass[10pt,journal]{IEEEtran}
\usepackage[cmex10]{amsmath}
\usepackage{amssymb,bm,cite,tikz,commath}
\usetikzlibrary{patterns,calc}
\begin{document}
\begin{tikzpicture}[scale=1,>=stealth,every rectangle node/.style={thick,black,inner sep=2},every circle node/.style={draw,thick,red,inner sep=1.7}]\small
\node... | https://arxiv.org/abs/1305.7272 | arxiv | 2014-03-17T01:08:58 | |
Homotopy collapse of an edge into an adjacent 2-simplex | \documentclass[12pt]{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[>=latex]
%filling the triangle
\draw[fill, blue!30!white] (0,0) -- (2,0) -- (0,2) -- (0,0);
%drawing the edges
\draw[thick] (0,0) -- (2,0) -- (0,2) -- (0,0);
%drawing the nodes
\draw[fill] ci... | https://arxiv.org/abs/1302.3982 | arxiv | 2013-02-19T02:01:29 | |
%(Top:) An isolated ``domino'' subgraph of a square lattice. Dashed lines indicate missing edges incident to the subgraph. A domino subgraph in a 3D lattice may also occur with the two cycles meeting at a right angle. (Bottom:) Illustration of the three independent paths between the central qubits of a domino subgraph.... | \documentclass[a4paper,UKenglish]{article}
\usepackage{amsmath,amssymb,amsthm}
\usepackage{times,amsmath,amssymb,amsthm,bm,bbm,mathtools}
\usepackage{tikz}
\usetikzlibrary{calc,shapes}
\begin{document}
\begin{tikzpicture}[scale=0.83,
outer sep=-2pt,
every node/.style={circle,fill=black}
]
\coordinate (d) at ... | https://arxiv.org/abs/1403.1588 | arxiv | 2014-07-02T02:11:43 | |
% Example of a ``figure eight'' graph on 2-1 vertices, for = 8. By Eqn.~eqn:conditionalFrustrBicycleIndptFactors, the probability of such a graph describing a frustrated figure-eight subsystem scales as O(Q_2^2). | \documentclass[a4paper,UKenglish]{article}
\usepackage{amsmath,amssymb,amsthm}
\usepackage{times,amsmath,amssymb,amsthm,bm,bbm,mathtools}
\usepackage{tikz}
\usetikzlibrary{calc,shapes}
\begin{document}
\begin{tikzpicture}[scale=0.78,
every node/.style={circle,fill=black,outer sep=-0.5ex}
]
\def\r{2}
\foreach ... | https://arxiv.org/abs/1403.1588 | arxiv | 2014-07-02T02:11:43 | |
Architecture of Cyber-Physical Systems. | \documentclass[10pt,final,twocolumn]{IEEEtran}
\usepackage{latexsym, amsmath, color, amsfonts, amssymb,graphicx}
\usepackage{amsmath}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[scale=0.7]
\draw[fill=lightgray, very thick, rotate around={60:(3.464,-2)}] (3.464,-2) ellipse (2 and 0.9);
\node[align=center, ... | https://arxiv.org/abs/1506.07955 | arxiv | 2015-06-29T02:03:03 | |
The purely geometric quad graph not embedded in any lattice. | \documentclass[a4paper]{article}
\usepackage{cite, amssymb}
\usepackage{amsmath}
\usepackage{color}
\usepackage{tikz}
\usetikzlibrary{patterns}
\begin{document}
\begin{tikzpicture}
\node (x1) at (0,0) [circle,fill,label=-135:$x$] {};
\node (x4) at (0,2.5) [circle,fill,label=135:$x_{1}$] {};
\node... | https://arxiv.org/abs/1705.00298 | arxiv | 2017-05-02T02:06:07 | |
Principal growth directions. | \documentclass[a4paper]{article}
\usepackage{cite, amssymb}
\usepackage{amsmath}
\usepackage{color}
\usepackage{tikz}
\usetikzlibrary{patterns}
\begin{document}
\begin{tikzpicture}[scale=0.5]
\draw[style=help lines,dashed] (0,0) grid[step=1cm] (14,14);
\draw[thick] (0,9)--(0,10)--(1,10)--(1,11)--(2,... | https://arxiv.org/abs/1705.00298 | arxiv | 2017-05-02T02:06:07 | |
The ``four stripe'' lattice. | \documentclass[a4paper]{article}
\usepackage{cite, amssymb}
\usepackage{amsmath}
\usepackage{color}
\usepackage{tikz}
\usetikzlibrary{patterns}
\begin{document}
\begin{tikzpicture}[scale=2.5]
\draw [pattern=north west lines,thick] (0,0) rectangle (1,1);
\draw [pattern=north east lines,thick] (1,1) rectangle (... | https://arxiv.org/abs/1705.00298 | arxiv | 2017-05-02T02:06:07 | |
Defining relation of (A_n). | \documentclass[11pt,reqno]{amsart}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{decorations.markings}
\usetikzlibrary{arrows,shapes,positioning}
\begin{document}
\begin{tikzpicture}[scale=.65]
\draw (2,0) to [bend right=90] (4,0);
\draw (2,0) to [bend left=90] (4,0);
\end{tikzpicture}
... | https://arxiv.org/abs/1509.01241 | arxiv | 2016-09-07T02:01:15 | |
Equations on a Cube | \documentclass[a4paper]{article}
\usepackage{cite, amssymb}
\usepackage{amsmath}
\usepackage{color}
\usepackage{tikz}
\usetikzlibrary{patterns}
\begin{document}
\begin{tikzpicture}[auto,scale=0.8]
\node (x) at (0,0) [circle,fill,label=-135:$x$] {};
\node (x1) at (4,0) [circle,fill,label=-45:$x_{1}$] {... | https://arxiv.org/abs/1705.00298 | arxiv | 2017-05-02T02:06:07 | |
Interval representation of the graph G_1 in Figure ~fig:ex5. | \documentclass[11pt]{article}
\usepackage{amsmath, amssymb, array}
\usepackage{tikz}
\usetikzlibrary{plotmarks}
\begin{document}
\begin{tikzpicture}
\draw[-][draw=black,very thick] (1,0) -- (4,0);
\draw[-][draw=black,thick] (2,-0.3) -- (5,-0.3);
\draw[-][draw=black,very thick] (3,-.6) -- (7,-.6);
\draw[-][draw=black,... | https://arxiv.org/abs/1607.02922 | arxiv | 2016-07-12T02:13:01 | |
The graph G_1. | \documentclass[11pt]{article}
\usepackage{amsmath, amssymb, array}
\usepackage{tikz}
\usetikzlibrary{plotmarks}
\begin{document}
\begin{tikzpicture}
\draw[-][draw=black,very thick] (0,0) -- (0,1);
\draw[-][draw=black,very thick] (0,0) -- (1,.5);
\draw[-][draw=black,very thick] (0,0) -- (-1,.5);
\draw[-][draw=black,ve... | https://arxiv.org/abs/1607.02922 | arxiv | 2016-07-12T02:13:01 | |
Coxeter graph of type A_n. | \documentclass[11pt,reqno]{amsart}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{decorations.markings}
\usetikzlibrary{arrows,shapes,positioning}
\begin{document}
\begin{tikzpicture}[scale=1,every circle node/.style={draw, circle, fill,inner sep=1pt}, node distance=1.5cm]
\node [circle, ... | https://arxiv.org/abs/1509.01241 | arxiv | 2016-09-07T02:01:15 | |
Standard k-box. | \documentclass[11pt,reqno]{amsart}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{decorations.markings}
\usetikzlibrary{arrows,shapes,positioning}
\begin{document}
\begin{tikzpicture}[scale=.75]
\draw[gray,thick] (0,0) rectangle (8,2);
\foreach \x in {1,2,7} \filldraw (\x,0) circle (1pt);... | https://arxiv.org/abs/1509.01241 | arxiv | 2016-09-07T02:01:15 | |
Unique loop-free diagram having only propagating edges. | \documentclass[11pt,reqno]{amsart}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{decorations.markings}
\usetikzlibrary{arrows,shapes,positioning}
\begin{document}
\begin{tikzpicture}[scale=.75]
\draw[gray,thick] (0,0) rectangle (5,2);
\foreach \x in {1,2,4} \filldraw (\x,0) circle (1pt);... | https://arxiv.org/abs/1509.01241 | arxiv | 2016-09-07T02:01:15 | |
Choosing _c. | \documentclass[a4]{article}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}[>=latex',scale=1.6]
\draw[very thick,->] (0,0) -- (5,0);
\draw[->] (0,0) -- (20:4.95);
\draw[very thick,->] (0,0) -- (40:4.95);
\draw[dashed] (40:5) -- (3.83,0);
\draw[dashed] (3.5... | https://arxiv.org/abs/1611.07303 | arxiv | 2016-11-23T02:05:41 | |
The dynamical system for \{T_0,\,T_1\} | \documentclass[a4paper,12pt]{article}
\usepackage[centertags]{amsmath}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz, subfigure}
\usepackage[latin1]{inputenc}
\usepackage{tikz}
\usepackage{amsfonts,graphicx,amsmath,amssymb,hyperref,color}
\begin{document}
\begin{tikzpicture}[scale=5]
\draw(0,0)node[below... | https://arxiv.org/abs/1406.3263 | arxiv | 2014-07-01T02:12:47 | |
The Stark fly-by geometry. | \documentclass[handcarry]{aiaa-tc}
\usepackage{tikz}
\usetikzlibrary{calc}
\usepackage{amssymb}
\usepackage{amsmath}
\begin{document}
\begin{tikzpicture}[scale=3]
% Hyperbola parameters
\pgfmathsetmacro{\e}{1.15} % eccentricity incomin
\pgfmathsetmacro{\a}{1}
\pgfmathsetmacro{\b}{(\a*sqrt((\e)^2-1)}... | https://arxiv.org/abs/1601.04963 | arxiv | 2016-01-21T02:05:38 | |
The radial fly-by geometry. In the range rr_i, r_o, the spacecraft maintains an additional radial acceleration and is thus not flying along a hyperbola | \documentclass[handcarry]{aiaa-tc}
\usepackage{tikz}
\usetikzlibrary{calc}
\usepackage{amssymb}
\usepackage{amsmath}
\begin{document}
\begin{tikzpicture}[scale=5]
% Hyperbola parameters
\pgfmathsetmacro{\e}{1.1} % eccentricity
\pgfmathsetmacro{\a}{1}
\pgfmathsetmacro{\b}{(\a*sqrt((\e)^2-1)}
... | https://arxiv.org/abs/1601.04963 | arxiv | 2016-01-21T02:05:38 | |
The high-energy physics software stack of an LHC experiment. | \documentclass[11pt,conference,letterpaper]{IEEEtran}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{tikz}
\usetikzlibrary{arrows,positioning,shapes,topaths,calc,fit,backgrounds,matrix,shadows,automata,patterns,decorations.pathmorphing,decorations.pathreplacing,decorations.text,circuits.logic.US,trees... | https://arxiv.org/abs/1407.3063 | arxiv | 2014-07-14T02:07:01 | |
The q-ary channel. | \documentclass[10pt,journal,twocolumn,twoside]{IEEEtran}
\usepackage{graphicx,cite,amssymb,amsmath,bm}
\usepackage{amsmath}
\usepackage[utf8]{inputenc}
\usepackage{tikz}
\usetikzlibrary{fadings}
\usetikzlibrary{shadows.blur}
\usetikzlibrary{shapes,arrows}
\usetikzlibrary{calc,shapes.misc}
\usetikzlibrary{decorations.pa... | https://arxiv.org/abs/1705.07011 | arxiv | 2017-05-22T02:07:04 | |
Example Gauge Transformation | \documentclass{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{color}
\usepackage{tikz}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}
\node (8) at (0,1) {8};
\node (7) at (0,2) {7};
\node (6) at (0,3) {6};
\node (5) at (0,4) {5};
\node (1) at (1,5)... | https://arxiv.org/abs/1504.08011 | arxiv | 2015-12-18T02:10:50 | |
The 2-ary de Bruijn graph of order 3, or B(2,3). | \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=0.75},new node/.style={circle,fill=black,text=whi... | https://arxiv.org/abs/1504.08011 | arxiv | 2015-12-18T02:10:50 | |
Embedding 3-OR onto the Chimera 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},new node/.style={font=\sffamily\bfseries},bend angle =... | https://arxiv.org/abs/1504.08011 | arxiv | 2015-12-18T02:10:50 | |
Mapping from OR-clauses to Ising Models | \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},new node/.style={font=\sffamily\bfseries},bend angle = ... | https://arxiv.org/abs/1504.08011 | arxiv | 2015-12-18T02:10:50 | |
Left panel: A bichromatic word with sum 1, prefix maximum 2, and prefix minimum -1. The number of blocks is 5. Right panel: The word after swapping the second and the third block, indicated by blue and red box, respectively. Note that this swapping operation satisfies the prerequisites of Claim~cl:swap, and consequentl... | \documentclass[11pt]{article}
\usepackage[utf8]{inputenc}
\usepackage{amstext,amsfonts,amsthm,amsmath,amssymb}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[scale=0.68]
\tikzstyle{vertex}=[circle,fill=black,minimum size=0.1cm,inner sep=0pt]
\begin{scope}[shift={(-5.5,0)}]
\draw[gray, dashed] (-7.5,1.6) -- ... | https://arxiv.org/abs/1701.06937 | arxiv | 2017-01-25T02:07:21 | |
This is how $T_{\overline{U},\hat{\varphi}}$ and $\pi^{-1}\left(T_{\overline{U},\hat{\varphi}}\right)$ must behave: The \textcolor{red}{red area} is the complement between $S_2$ and $S_1$. The rational tentacle \textcolor{green}{$T_{\overline{U},\hat{\varphi}}$} is contained in $\mathbb{R}^n\backslash S_2$ and \textcol... | \documentclass[12pt,abstracton]{scrreprt}
\usepackage[usenames,dvipsnames,x11names]{xcolor}
\usepackage{tikz}
\usetikzlibrary{arrows,decorations.pathmorphing}
\usetikzlibrary{intersections,shapes.arrows}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{color}
\usepackage{enumitem, color, amssymb}
\tikzset{
LL/.sty... | https://arxiv.org/abs/1701.07013 | arxiv | 2017-01-26T02:00:09 | |
At each of the L repetitions we query the closest positions. Since the projected distance X to our target point y is distributed as Bin(k,dist(q,y)/d), we find y with constant probability by setting L=O(X a^-1). | \documentclass[11pt]{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amsmath,amssymb,amsfonts,amsthm}
\usepackage{tikz}
\usetikzlibrary{shapes,decorations.pathreplacing}
\begin{document}
\begin{tikzpicture}
\draw (-4,0) -- ++(30:1.5) node[pos=.5,above] {$a$};
\draw (-4,0) -- (-4,... | https://arxiv.org/abs/1605.02673 | arxiv | 2016-07-21T02:07:53 | |
Optimal schedule for the indicated pre-fixed absences. | \documentclass[12pt]{article}
\usepackage[ansinew]{inputenc}%ß als Eingabe statt "s u.s.w.
\usepackage[T1]{fontenc}%this is needed for correct output of umlauts in pdf
\usepackage{tikz}
\usepackage{tkz-graph}
\usepackage{color}
\usepackage{colortbl}
\usepackage{amsmath}
\usepackage{amssymb}%
\begin{document}
\begin{t... | https://arxiv.org/abs/1509.00488 | arxiv | 2016-05-23T02:12:02 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.