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Elements of the Network-Based Architecture (net-arch) wherein components interact by sending data through communications connectors. | \documentclass[10pt, conference, compsocconf]{IEEEtran}
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\node [draw, ultra thick, circle, fill=blue!05!white, minimum size=60, align=center] (top) at (0... | https://arxiv.org/abs/1604.07642 | arxiv | 2016-04-27T02:11:04 | |
The Ozy Architecture. Ozy does not define a new services interface; industry standard SOAP or RESTful interfaces should still be employed, but the Ozy Architecture does provide a better separation of concern between interface and implementation. | \documentclass[10pt, conference, compsocconf]{IEEEtran}
\usepackage{tikz}
\usetikzlibrary{shapes,snakes}
\usetikzlibrary{positioning,calc}
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\begin{tikzpicture}
\node [draw, ultra thick, circle, fill=blue!05, minimum size=60, align=center] (service) at (0,5... | https://arxiv.org/abs/1604.07642 | arxiv | 2016-04-27T02:11:04 | |
Message routing in Ozy. Message routing is based on the Ozy Architecture where the net-arch components are Root, Tenant, Process and Thread. | \documentclass[10pt, conference, compsocconf]{IEEEtran}
\usepackage{tikz}
\usetikzlibrary{shapes,snakes}
\usetikzlibrary{positioning,calc}
\usetikzlibrary{arrows,decorations.markings}
\begin{document}
\begin{tikzpicture}
\node [] (in) at (-1.6,2.2) (in) {Message In};
\node [] (out) at (2.0,2.2) (out) {Message Ou... | https://arxiv.org/abs/1604.07642 | arxiv | 2016-04-27T02:11:04 | |
Heterogeneous services on an enterprise system. The Ozy container aims to elegantly orchestrate these diverse services. | \documentclass[10pt, conference, compsocconf]{IEEEtran}
\usepackage{tikz}
\usetikzlibrary{shapes,snakes}
\usetikzlibrary{positioning,calc}
\usetikzlibrary{arrows,decorations.markings}
\begin{document}
\begin{tikzpicture}
\node [cloud, fill=blue!02, draw,cloud puffs=12,cloud puff arc=140, aspect=2, inner ysep=7em] {};... | https://arxiv.org/abs/1604.07642 | arxiv | 2016-04-27T02:11:04 | |
Ozy Computation. If we zoom-in on Process and Thread from Fig.~fig:msgrouting, we see the intersection of message routing and computation. Process and Thread implement the Oz Computation Model. | \documentclass[10pt, conference, compsocconf]{IEEEtran}
\usepackage{tikz}
\usetikzlibrary{shapes,snakes}
\usetikzlibrary{positioning,calc}
\usetikzlibrary{arrows,decorations.markings}
\begin{document}
\begin{tikzpicture}
\node [draw=gray, ultra thick, rectangle, fill=yellow!10, minimum width=200, minimum height=220,... | https://arxiv.org/abs/1604.07642 | arxiv | 2016-04-27T02:11:04 | |
Encoded bytes corresponding to integer values 1024,12,10,512 using VarIntGB\@. The result occupies seven bytes. | \documentclass[preprint, 3p, twocolumn, times,sort]{elsarticle}
\usepackage{pgfplots}
\pgfplotsset{width=7cm,compat=1.3}
\usepackage{tikz}
\usepackage{color}
\usetikzlibrary{chains,positioning,arrows}
\usepackage[colorlinks,bookmarksopen,bookmarksnumbered,citecolor=red,urlcolor=red,draft]{hyperref}
\begin{document}
\... | https://arxiv.org/abs/1611.05428 | arxiv | 2016-11-17T02:09:11 | |
Graph topology analyzed in Example~ex:network | \documentclass[11pt,letterpaper]{article}
\usepackage{tikz}
\usetikzlibrary{positioning}
\usetikzlibrary{arrows}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{amsmath,amsfonts, amssymb,color}
\begin{document}
\begin{tikzpicture}[-,>=stealth',shorten >=1pt,auto,thick,main node/.style={circle,draw,minimum size ... | https://arxiv.org/abs/1510.09106 | arxiv | 2016-08-16T02:00:16 | |
Case (n,m+1) | \documentclass[11pt]{book}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{color}
\usepackage{tikz}
\usetikzlibrary{cd}
\usetikzlibrary{calc}
\usetikzlibrary{decorations.pathmorphing}
\usetikzlibrary{arrows}
\usetikzlibrary{matrix}
\tikzset{sdiag/.style={decora... | https://arxiv.org/abs/1606.05916 | arxiv | 2016-06-21T02:10:49 | |
The MC~ C of the reduction from NMF to~ MC MDP_m. | \documentclass[envcountsame]{llncs}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{arrows, automata, positioning}
\usepackage{pgf, verbatim,eurosym}
\usetikzlibrary{arrows,automata}
\RequirePackage{tikz}
\usetikzlibrary{arrows,snakes}
\newcommand{\inn}{{\mathit{in}}}
\newcommand{\fin}{{\m... | https://arxiv.org/abs/1510.09102 | arxiv | 2016-01-11T02:05:26 | |
The even (top row) and odd (bottom row) 8-vertex model weights, with bond states shown in terms of line type, dashed or solid. | \documentclass{article}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath}
\begin{document}
\begin{tikzpicture}
\draw[dashed,line width = 2pt] (0,1) -- (0,0);
\draw[dashed,line width = 2pt] (0,0) -- (0,-1);
\draw[dashed,line width = 2pt] (-1,0) -- (0,0);
\draw[dashed,line width = 2pt] (0,0) -- (1,0);
\no... | https://arxiv.org/abs/1702.02110 | arxiv | 2017-02-08T02:07:39 | |
The weak-graph transformation. Spins on each bond are split into two, separated by the dashed lines, and a local map between spins variables and vertex weights is used around each vertex. The constraint that the split spin variables are equal is equivalent to the bond sharing of vertex weight variables. | \documentclass{article}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath}
\begin{document}
\begin{tikzpicture}
\foreach \x in {2,4}
\draw (\x,0.4) -- (\x,5.6);
\foreach \y in {2,4}
\draw (0.4,\y) -- (5.6,\y);
\foreach \y in {1,3,5}
\draw[dashed] (1.5,\y) -- (2.5,\y);
\foreach \y in {1,3,5}
\draw[dashed] (3.... | https://arxiv.org/abs/1702.02110 | arxiv | 2017-02-08T02:07:39 | |
\documentclass{article}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath}
\begin{document}
\begin{tikzpicture}
\draw[line width = 1pt] (-2.25,0) -- (2.25,0);
\draw[line width = 1pt] (0,-2.25) -- (0,2.25);
\draw[line width = 1pt] (0,-1) -- (1,0) -- (0,1) -- (-1,0) -- (0,-1);
\node[above=4.5pt, right=-2pt] a... | https://arxiv.org/abs/1702.02110 | arxiv | 2017-02-08T02:07:39 | ||
An annulus with four marked points and two non-isomorphic skeletons with their cilium structure. | \documentclass[12pt]{amsart}
\usepackage{amsmath,amsthm,amssymb, amsxtra, amsfonts, amscd}
\usepackage{color}
\usepackage{tikz}
\usetikzlibrary{calc,positioning,intersections}
\newcommand{\ra}{\rangle}
\begin{document}
\begin{tikzpicture}
\pgfmathsetmacro{\ra}{0.5}
\pgfmathsetmacro{\rb}{1.3}
\begin{scope}[shift=... | https://arxiv.org/abs/1610.01782 | arxiv | 2016-10-07T02:03:27 | |
The marked surface (_3, V). | \documentclass[12pt]{amsart}
\usepackage{amsmath,amsthm,amssymb, amsxtra, amsfonts, amscd}
\usepackage{color}
\usepackage{tikz}
\usetikzlibrary{calc,positioning,intersections}
\newcommand{\ra}{\rangle}
\begin{document}
\begin{tikzpicture}
\pgfmathsetmacro{\ra}{0.5}
\pgfmathsetmacro{\rb}{1.8}
\pgfmathsetmacro{\ry}{0... | https://arxiv.org/abs/1610.01782 | arxiv | 2016-10-07T02:03:27 | |
An annulus with three marked points obtained by fusing three disks with two marked points each. | \documentclass[12pt]{amsart}
\usepackage{amsmath,amsthm,amssymb, amsxtra, amsfonts, amscd}
\usepackage{color}
\usepackage{tikz}
\usetikzlibrary{calc,positioning,intersections}
\newcommand{\ra}{\rangle}
\begin{document}
\begin{tikzpicture}
\pgfmathsetmacro{\ra}{1.5}
\pgfmathsetmacro{\rb}{0.8}
\begin{scope}[shift=... | https://arxiv.org/abs/1610.01782 | arxiv | 2016-10-07T02:03:27 | |
The ratio c_Na^(i)/c_Na^(o) for sodium ion depletion in the cell over resting potential V_m. z_i=-0.5,-1,-2 from right to left. | \documentclass[a4paper]{article}
\usepackage{amsmath}
\usepackage[latin1]{inputenc}
\usepackage[svgnames]{xcolor}
\usepackage{tikz}
\usepackage{pgfplots}
\usepackage{amsmath}
\usetikzlibrary{calc,fadings,decorations}
\usetikzlibrary{decorations.pathmorphing}
\usetikzlibrary{decorations.pathreplacing}
\usetikzlibrary{sh... | https://arxiv.org/abs/1703.03766 | arxiv | 2017-03-13T01:08:54 | |
The function s(V_m)(eq. g1) for V_m 0 and three different values of z_i(from below: z_i=-0.5, -1, -2). (Temperature 20 C) | \documentclass[a4paper]{article}
\usepackage{amsmath}
\usepackage[latin1]{inputenc}
\usepackage[svgnames]{xcolor}
\usepackage{tikz}
\usepackage{pgfplots}
\usepackage{amsmath}
\usetikzlibrary{calc,fadings,decorations}
\usetikzlibrary{decorations.pathmorphing}
\usetikzlibrary{decorations.pathreplacing}
\usetikzlibrary{sh... | https://arxiv.org/abs/1703.03766 | arxiv | 2017-03-13T01:08:54 | |
Modeling Languages, Intermediate and Flat Formats. | \documentclass[10pt]{report}
\usepackage[table]{xcolor}
\usepackage{mathrsfs,amssymb,amsmath}
\usepackage{tikz}
\usetikzlibrary{shapes,calc,positioning,automata,arrows,trees}
\usepackage[tikz]{bclogo}
\usepackage[skins,breakable,xparse]{tcolorbox}
\tikzset{
dirtree/.style={
grow via three points={one child at (0.... | https://arxiv.org/abs/1611.03398 | arxiv | 2016-11-11T02:07:41 | |
X_1 X_2 Coordinate Plane | \documentclass{amsproc}
\usepackage{amssymb}
\usepackage{tikz}
\usepackage{amsmath}
\begin{document}
\begin{tikzpicture}[scale=.6]
\draw[->] (-3.5,0)-- (12.5,0)
node[below right] {$X_1$};
\draw[->] (4.5,0)-- (4.51,0)
node[below right] {$X_1$};
\draw[->] (0.5,-3)-- (0.5,3)
node[right] {$X_2$};
\draw[->] (8.5,-3)-- (8.... | https://arxiv.org/abs/1608.00208 | arxiv | 2016-08-02T02:07:47 | |
The graph of =794526813 S_9. Here, M=\{(1,7), (3,4), (5,2),(8,1)\}% and M\,=\, 95683. | \documentclass[11pt]{article}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{decorations.pathreplacing}
\usetikzlibrary{patterns}
\begin{document}
\begin{tikzpicture}[scale=0.5]
\draw (0,0) rectangle (9,9);
\draw [fill,red] (1,7) circle (0.15);
\draw [fill] (2,9) circle (0... | https://arxiv.org/abs/1606.07906 | arxiv | 2016-06-28T02:05:35 | |
An example of the permutation constructed in the proof of Proposition prop-constr, in which N=41, w_1=3, w_2=2, w=6, and A=3, and the permutation is the decreasing permutation of length N-w. The circled black dot is at (I,J). The dashed blue line is the diagonal of [1,N]^2. The two red rectangles enclose B_1+(0,J) and ... | \documentclass[11pt]{article}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{decorations.pathreplacing}
\usetikzlibrary{patterns}
\begin{document}
\begin{tikzpicture}[scale=0.23]
\draw (0,0) rectangle (40,40);
\draw [red] (0,34) rectangle (16,11);
\draw [red] (34,0) rectangle ... | https://arxiv.org/abs/1606.07906 | arxiv | 2016-06-28T02:05:35 | |
In this system, there are five processors p_1, p_2, p_3, p_4 and p_5; all communication links are bi-directional; and at most one processor can be adversarial, i.e., f=1. | \documentclass[letterpaper, 11pt]{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{shapes,snakes}
\begin{document}
\begin{tikzpicture}[auto, scale=1.2]
\node[draw,circle,minimum size=0.7cm,inner sep=0pt] (A) at (0,0) {$p_1$ };
\node [draw,circle,minimum size=0.7cm,inner... | https://arxiv.org/abs/1411.5282 | arxiv | 2015-04-17T02:04:09 | |
In this system, there are n processors p_1, , p_n; all communication links are bi-directional; and at most one processor can be adversarial, i.e., f=1. Nodes p_2, , p_n form a cycle of length n-1 and these nodes are all connected to node p_1. | \documentclass[letterpaper, 11pt]{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{shapes,snakes}
\begin{document}
\begin{tikzpicture}[auto, scale=1.2]
\node[draw,circle,minimum size=0.7cm,inner sep=0pt] (A) at (0,0) {$p_2$ };
\node [draw,circle,minimum size=0.7cm,inner... | https://arxiv.org/abs/1411.5282 | arxiv | 2015-04-17T02:04:09 | |
Outline of the proposed method | \documentclass{llncs}
\usepackage{tikz}
\usetikzlibrary{arrows,positioning,shapes.geometric}
\begin{document}
\begin{tikzpicture}[>=latex']
\tikzset{block/.style= {draw, rectangle, align=center,minimum width=2cm,minimum height=1cm}}
\node (input_img) {Input};
\node [block, right =5mm of i... | https://arxiv.org/abs/1612.02675 | arxiv | 2016-12-09T02:05:54 | |
A <-cycle of three elements and an ``incomparable triple-u'', where dashed lines are -edges. | \documentclass[envcountsame,reqno]{llncs}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{calc,positioning}
\begin{document}
\begin{tikzpicture}
[rotate = 0, transform shape, scale=1 ] %Change this to scale picture
\begin{scope}
[
node distance = 1 and 0.5,
on grid,
basickonf/... | https://arxiv.org/abs/1412.2905 | arxiv | 2015-02-25T02:10:20 | |
The standard (5,3)-triple-u, where we only draw the Hasse diagram for <^D, and where dashed edges are -edges. | \documentclass[envcountsame,reqno]{llncs}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{calc,positioning}
\begin{document}
\begin{tikzpicture}
[rotate = 90, transform shape, scale =0.8 ] %Change this to scale picture
\begin{scope}
[
node distance = 1.2 and 0.5,
on grid,
basickonf/.style={ rotat... | https://arxiv.org/abs/1412.2905 | arxiv | 2015-02-25T02:10:20 | |
The classification tree T(h) for a hospital h. | \documentclass{llncs}
\usepackage{amsmath}
\usepackage{color}
\usepackage{tikz}
\usetikzlibrary{fit, shapes, positioning}
\begin{document}
\begin{tikzpicture}{h}
% root
\draw[dotted, black, thick] (3.5, 4) -- (2, 2);
\draw[black, thick] (3.5, 4) -- (5.8, 1.5);
% left subtree
\draw[dotted, black, ... | https://arxiv.org/abs/1609.07650 | arxiv | 2016-12-20T02:05:54 | |
(a) Resident preferences, (b) Hospital preferences, (c) T(h_1). The matchings M = \{(r_1, h_1), (r_2, h_2), (r_3, h_1)\}, M' = \{(r_2, h_1), (r_3, h_2), (r_4, h_1)\}, and M'' = \{(r_1, h_1), (r_2, h_3), (r_3, h_2), (r_4, h_1) \} are all feasible in the instance. | \documentclass{llncs}
\usepackage{amsmath}
\usepackage{color}
\usepackage{tikz}
\usetikzlibrary{fit, shapes, positioning}
\begin{document}
\begin{tikzpicture}{h}
\node (A) [draw, ellipse] at (1.5, 2) {$ r_1, r_2, r_3, r_4 $};
\node (B) [draw, ellipse] at (0, 1) {$ r_1, r_2 $};
\node (C) [draw, ellipse] at... | https://arxiv.org/abs/1609.07650 | arxiv | 2016-12-20T02:05:54 | |
The edges (r_a^j_a, h) and (r_b^j_b, h) belong to , while the edge (r_a^j'_a, h) does not belong to . | \documentclass{llncs}
\usepackage{amsmath}
\usepackage{color}
\usepackage{tikz}
\usetikzlibrary{fit, shapes, positioning}
\begin{document}
\begin{tikzpicture}[every node/.style={circle, draw, thick, inner sep=0pt, minimum width=5pt}]
\node (r_aa)[label=left:$r_a^{j_a}$] at (0, 4) {};
\node (r_bb)[label=left:$r_b^{j_b... | https://arxiv.org/abs/1609.07650 | arxiv | 2016-12-20T02:05:54 | |
For a fixed kernel reduction f_n running in time p_n, the image of a string of length n + 1 can only be a string of length at most p_n(n + 1). The number of equivalence classes in R for strings of length n + 1 is greater than the number of equivalence classes in S for strings of length p_n(n + 1) for each polynomial p_... | \documentclass{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[yscale=0.5]
\begin{scope}[shift={(0, 5)}]
\node at (0, 1) {$R$};
\draw (2, 0)
++(0, 1) node[anchor=east] ... | https://arxiv.org/abs/1604.08558 | arxiv | 2016-04-29T02:11:59 | |
The diagram illustrates the idea how we obtain the upper and the lower bound (in terms of the coefficients) for the function L_m(z). Starting point is denoted by a blue node, the finish nodes are red. | \documentclass{article}
\usepackage[T1]{fontenc}
\usepackage{amsmath,amssymb,amsthm}
\usepackage{color}
\usepackage{tikz}
\usetikzlibrary{arrows,decorations.pathmorphing,backgrounds,positioning,fit,petri,chains, matrix,scopes}
\begin{document}
\begin{tikzpicture}
[point/.style={coordinate},
>=stealth',thick,draw=blac... | https://arxiv.org/abs/1509.06139 | arxiv | 2015-09-22T02:14:24 | |
Naming of the random variables in the general case. The columns X_i are distributed i.i.d according to P. Each X_i^(j) is distributed according to . The overall distribution of X is P. | \documentclass[11pt,notitlepage,onecolumn]{article}
\usepackage[utf8]{inputenc}
\usepackage[OT4]{fontenc}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usepackage{xcolor}
\begin{document}
\begin{tikzpicture}[yscale=-0.7]
\node(X__) at (0,0) {$\underline{\overline{X}}$};
\node(X1_) at (1,0) {$\overline{... | https://arxiv.org/abs/1509.06191 | arxiv | 2017-06-06T02:01:10 | |
Proper 8-edge-coloring of K_7-e with def( v_0,)=def(K_7-e)=2. | \documentclass[fleqn,12pt,twoside]{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usetikzlibrary{shapes}
\usetikzlibrary{decorations.markings}
\begin{document}
\begin{tikzpicture}[style=thick]
\coordinate (V3) at (-120:4.8cm);
\coordinate (V2) at (-170:4.8cm);
... | https://arxiv.org/abs/1608.00904 | arxiv | 2017-01-31T02:05:19 | |
A circle divided into five segments by five randomly placed hash code points, and the search for the next hash code point from the key | \documentclass[runningheads,a4paper]{llncs}
\usepackage{color}
\usepackage[utf8]{inputenc}
\usepackage{
amsmath,
amsfonts,
amssymb,
amsxtra,
amsopn}
\usepackage{tikz}
\newcommand{\slice}[3]{
\draw (0,0) -- (#1:1) arc (#1:#2:1);
\draw (0,0) -- (#1:1.1);
\node at (#1:1.3) {#3};
}
\begin{document}
\be... | https://arxiv.org/abs/1503.04988 | arxiv | 2015-03-19T01:06:43 | |
Contour C^- | \documentclass[reqno]{amsart}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{decorations.markings}
\begin{document}
\begin{tikzpicture}[decoration={markings,
mark=at position 1.5cm with {\arrow[line width=1pt]{>}},
mark=at position 3.2cm with {\arrow[line w... | https://arxiv.org/abs/1704.02429 | arxiv | 2017-04-11T02:03:00 | |
Contour C^+ | \documentclass[reqno]{amsart}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{decorations.markings}
\begin{document}
\begin{tikzpicture}[decoration={markings,
mark=at position 1.5cm with {\arrow[line width=1pt]{>}},
mark=at position 3.2cm with {\arrow[line w... | https://arxiv.org/abs/1704.02429 | arxiv | 2017-04-11T02:03:00 | |
Contour C' | \documentclass[reqno]{amsart}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{decorations.markings}
\begin{document}
\begin{tikzpicture}[decoration={markings,
mark=at position 1.1cm with {\arrow[line width=1pt]{>}},
mark=at position 2.6cm with {\arrow[line w... | https://arxiv.org/abs/1704.02429 | arxiv | 2017-04-11T02:03:00 | |
Each row corresponds to one sequence of our data-set. It is composed of six gray-scale images of size 64 64: the ``grasping point image'', followed by five frames. In each sequence, the rectangle originally containing the grasping point is pulled upward and moves accordingly. It may collide with and push other rectangl... | \documentclass[12pt,a4paper]{article}
\usepackage[utf8]{inputenc}
\usepackage[colorlinks=true,linkcolor=blue,urlcolor=blue,citecolor=blue]{hyperref}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
\node (n1) at (1, 0) {${{G_n}}$};
\node (n1) at (3, 0) {${{S_n}}$};
\nod... | https://arxiv.org/abs/1610.04032 | arxiv | 2016-11-28T02:04:16 | |
Some illustrative prediction results. Each column corresponds to an example. The first row shows the starting configuration S_n, the second row the ``grasping point'' image G_n, the third row the true resulting configuration R_n, and the last row the predicted resulting configuration (S_n, G_n). For clarity, we highlig... | \documentclass[12pt,a4paper]{article}
\usepackage[utf8]{inputenc}
\usepackage[colorlinks=true,linkcolor=blue,urlcolor=blue,citecolor=blue]{hyperref}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[scale=0.93]
\draw[draw=none] (0,0) -- (0.5,0) -- (0.5,8) -- (0,8) -- (0,... | https://arxiv.org/abs/1610.04032 | arxiv | 2016-11-28T02:04:16 | |
The automaton computing the maximal difference between the lengths of blocks of a's at odd and the following even positions. | \documentclass[a4paper]{article}
\usepackage{amssymb,amsmath,color,verbatim,bm}
\usepackage{tikz}
\usetikzlibrary{arrows,automata,shapes}
\usepackage[color=light gray]{todonotes}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}
\tikzstyle{state}=[draw,circle,minimum size=0.8cm]
\tikzstyle{Astate}=[draw,circ... | https://arxiv.org/abs/1604.06764 | arxiv | 2016-04-25T02:11:06 | |
An example of non-deterministic automaton, in which non-deterministic choices has to ``depend on the future'' in order to obtain the infimum. | \documentclass[a4paper]{article}
\usepackage{amssymb,amsmath,color,verbatim,bm}
\usepackage{tikz}
\usetikzlibrary{arrows,automata,shapes}
\usepackage[color=light gray]{todonotes}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}
\tikzstyle{state}=[draw,circle,minimum size=0.8cm]
\tikzstyle{Astate}=[draw,circ... | https://arxiv.org/abs/1604.06764 | arxiv | 2016-04-25T02:11:06 | |
The (reduced) result of translation of the automaton A from Example~ex:NWA to an automaton with monitor counters. Vector 0(resp., t) denotes the k-dimensional vector whose all components equal 0(resp., t). Vector s_i denotes the k-dimensional vector whose i-th component is s and other components are 0. | \documentclass[a4paper]{article}
\usepackage{amssymb,amsmath,color,verbatim,bm}
\usepackage{tikz}
\usetikzlibrary{arrows,automata,shapes}
\usepackage[color=light gray]{todonotes}
\usetikzlibrary{calc}
\newcommand{\aut}{{\cal A}}
\newcommand{\nestedA}{\mathbb{A}}
\begin{document}
\begin{tikzpicture}
\tikzstyle{state... | https://arxiv.org/abs/1604.06764 | arxiv | 2016-04-25T02:11:06 | |
The (LimAvg;Sum)-automaton computing the average response time over words with infinite number of requests and grants such that between any two grants there are at most k requests. | \documentclass[a4paper]{article}
\usepackage{amssymb,amsmath,color,verbatim,bm}
\usepackage{tikz}
\usetikzlibrary{arrows,automata,shapes}
\usepackage[color=light gray]{todonotes}
\usetikzlibrary{calc}
\newcommand{\masterA}{{\cal A}_{mas}}
\newcommand{\slaveA}{{\mathfrak{B}}}
\begin{document}
\begin{tikzpicture}
\ti... | https://arxiv.org/abs/1604.06764 | arxiv | 2016-04-25T02:11:06 | |
A nested weighted automaton resulting from translation of the automaton from Example~ex:AMC. | \documentclass[a4paper]{article}
\usepackage{amssymb,amsmath,color,verbatim,bm}
\usepackage{tikz}
\usetikzlibrary{arrows,automata,shapes}
\usepackage[color=light gray]{todonotes}
\usetikzlibrary{calc}
\newcommand{\slaveA}{{\mathfrak{B}}}
\begin{document}
\begin{tikzpicture}
\tikzstyle{state}=[draw,circle,minimum siz... | https://arxiv.org/abs/1604.06764 | arxiv | 2016-04-25T02:11:06 | |
One-dimensional digraph | \documentclass[12pt,a4paper,twoside]{article}
\usepackage[utf8]{inputenc}
\usepackage{amssymb}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[scale=0.4, >=stealth,shorten >=2pt,node distance=2.5cm, thick,main node/.style={circle,draw}]
\node [main node] (v1) {$v_{1}$};
\node [main node] (v2) [right of=v1]{$v_... | https://arxiv.org/abs/1409.7803 | arxiv | 2014-09-30T02:07:04 | |
Realisation of the characteristic polynomial (eq:ExampleCharacteristicPolynomial) | \documentclass[12pt,a4paper,twoside]{article}
\usepackage[utf8]{inputenc}
\usepackage{amssymb}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[scale=0.25, >=stealth,shorten >=1pt,node distance=2.5cm, thick,main node/.style={circle,draw}]
\node [main node] (0) {$0$};
\node [main node] (1) [right of=0]{$1$};
\no... | https://arxiv.org/abs/1409.7803 | arxiv | 2014-09-30T02:07:04 | |
One-dimensional digraphs | \documentclass[12pt,a4paper,twoside]{article}
\usepackage[utf8]{inputenc}
\usepackage{amssymb}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[scale=0.25, >=stealth,shorten >=1pt,node distance=2.5cm, thick,main node/.style={circle,draw}]
\node [main node] (0) {$0$};
\node [main node] (1) [right of=0]{$1$};
\no... | https://arxiv.org/abs/1409.7803 | arxiv | 2014-09-30T02:07:04 | |
Realisation of the characteristic polynomial (eq:ExampleCharacteristicPolynomial) | \documentclass[12pt,a4paper,twoside]{article}
\usepackage[utf8]{inputenc}
\usepackage{amssymb}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[scale=0.25, >=stealth,shorten >=1pt,node distance=2.5cm, thick,main node/.style={circle,draw}]
\node [main node] (0) {$0$};
\node [main node] (1) [right of=0]{$1$};
\no... | https://arxiv.org/abs/1409.7803 | arxiv | 2014-09-30T02:07:04 | |
One-dimensional digraph with all possible realisation of the monomial M_2 | \documentclass[12pt,a4paper,twoside]{article}
\usepackage[utf8]{inputenc}
\usepackage{amssymb}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[scale=0.25, >=stealth,shorten >=1pt,node distance=2.5cm, thick,main node/.style={circle,draw}]
\node [main node] (0) {$0$};
\node [main node] (1) [right of=0]{$1$};
\no... | https://arxiv.org/abs/1409.7803 | arxiv | 2014-09-30T02:07:04 | |
The widget graph W used to represent each variable | \documentclass[11pt]{article}
\usepackage{geometry,amssymb,latexsym,amsmath,graphicx, enumerate}
\usepackage[utf8]{inputenc}
\usepackage{tikz,ifthen}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}
[thick,scale=1,
vertex/.style={circle,draw,inner sep=0pt,minimum
size=1.5mm,fill=white!100},
blackv... | https://arxiv.org/abs/1510.00140 | arxiv | 2016-06-20T02:12:33 | |
The graph H|\{c_1,c_2,c_4\} for n=4 | \documentclass[11pt]{article}
\usepackage{geometry,amssymb,latexsym,amsmath,graphicx, enumerate}
\usepackage[utf8]{inputenc}
\usepackage{tikz,ifthen}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}
[thick,scale=0.7,
vertex/.style={circle,draw,inner sep=0pt,minimum
size=1.5mm,fill=white!100},
blac... | https://arxiv.org/abs/1510.00140 | arxiv | 2016-06-20T02:12:33 | |
Example of the graph for formula X_1 (X_2 X_3)(X_3 X_4) | \documentclass[11pt]{article}
\usepackage{geometry,amssymb,latexsym,amsmath,graphicx, enumerate}
\usepackage[utf8]{inputenc}
\usepackage{tikz,ifthen}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}
[thick,scale=0.45,
vertex/.style={circle,draw,inner sep=0pt,minimum
size=1.5mm,fill=white!100},
bla... | https://arxiv.org/abs/1510.00140 | arxiv | 2016-06-20T02:12:33 | |
Our feature extraction algorithm involves tracking the location of the patient's active wrist, segmenting the location signal, and then computing motion features. | \documentclass[letterpaper]{article}
\usepackage{amssymb}
\usepackage[usenames]{color}
\usepackage{tikz}
\usetikzlibrary{fit, positioning, shapes, arrows, intersections}
\usepackage{amsmath}
\begin{document}
\begin{tikzpicture}
\tikzset{
smallblock/.style= {draw, rectangle, align=center,text width=3.2cm, inner sep=1m... | https://arxiv.org/abs/1612.04007 | arxiv | 2017-01-23T02:02:42 | |
% The gadget H_ of Provan and Ball~provan1983complexity as used in the proof of Theorem~thm:bishard. It corresponds to an -fattening of the edge~u,v, followed by a 4-stretch of each of the parallel edges. | \documentclass[a4paper,english]{scrartcl}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{shapes}
\begin{document}
\begin{tikzpicture}[-, scale = 0.7]
\node[draw,circle](1) at (0,0) {$u$};
\node[draw,circle](2) at (1.5,1.5) {$~~$};
... | https://arxiv.org/abs/1606.06581 | arxiv | 2016-06-22T02:12:08 | |
Network architecture | \documentclass[11pt]{article}
\usepackage{tikz}
\usepackage{amsmath}
\begin{document}
\begin{tikzpicture}
\draw[->] (2.5, 0) node[below] {$x_{t-2}$} -- (2.5, 1);
\draw[->] (6.5, 0) node[below] {$x_{t-1}$} -- (6.5, 1);
\draw[->] (10.5, 0) node[below] {$x_t$} -- (10.5, 1);
\draw (1, 1) rectangle (4, 2);
\dra... | https://arxiv.org/abs/1603.07893 | arxiv | 2016-08-30T02:03:44 | |
The number of ``blue'' regions is equal to the number of folds m. The number of total regions is t. For each observed c_j, instead of checking all the t regions, we only assign vote to the these ``blue'' regions. Since only these m ``blue'' regions can be the candidate region that contains frequency f. | \documentclass[11pt,documentclass,onecolumn]{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{color}
\usepackage{color}
\usepackage{tikz}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}
\def\dx{8}
\draw (-\dx,0) -- (\dx,0) ;
\draw (\dx,0) -- (\dx,0.2);
\node at (-\dx,-0.5) {$l_j -\frac{\Del... | https://arxiv.org/abs/1609.00896 | arxiv | 2016-09-06T02:03:32 | |
Diagram of the structure of a single LSTM cell | \documentclass[11pt]{article}
\usepackage{tikz}
\usepackage{amsmath}
\begin{document}
\begin{tikzpicture}
\draw[-] (4, 0) node[below] {$x_t$} -- (4, 1);
\draw[-] (6, 0) node[below] {$y_{t-1}$} -- (6, 1);
\draw[-] (4, 1) -- (6, 1);
\draw[-] (5, 1) -- (5, 1.5);
\draw (4.5, 1.5) rectangle (5.5, 2.5);
\draw (... | https://arxiv.org/abs/1603.07893 | arxiv | 2016-08-30T02:03:44 | |
We demonstrate the algorithm for merging various stages(R=O( k)) on 2-dimensional data. Note that the true data should be 3-dimensional, since for each tone (v_i,f_i), v_i C and f_i R. The x-axis represents the frequency and the y-axis represents the real part of magnitude. | \documentclass[11pt,documentclass,onecolumn]{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{color}
\usepackage{color}
\usepackage{tikz}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}[>=stealth',shorten >=1pt,auto,node distance=3cm,
thick,red node/.style={scale=.4,circle,fill=red,draw,f... | https://arxiv.org/abs/1609.00896 | arxiv | 2016-09-06T02:03:32 | |
_-^+(T,1|-f_i|) (T,1|-f_j|) d | \documentclass[11pt,documentclass,onecolumn]{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{color}
\usepackage{color}
\usepackage{tikz}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}
\def\PI{2*3.14159265359}
\def\T{4}
\def\freqi{4}
\def\freqj{9}
\draw [domain=\freqi+1/\T:\freqj+3,var... | https://arxiv.org/abs/1609.00896 | arxiv | 2016-09-06T02:03:32 | |
For an arbitrary frequency interval [ l_j - l2, l_j+ l2], we scale it by 2 to get a longer interval [2(l_j + l2) , 2(l_j - l2)]. Then, we wrap the longer interval on a circle [0,2). The number of folds after wrapping is l. For any random sample, the observation c_j is close to the true answer within 1/ with some ``good... | \documentclass[11pt,documentclass,onecolumn]{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{color}
\usepackage{color}
\usepackage{tikz}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}[scale = 1.0]
\def\PI{3.1415926}
\node at (-10,0) {$[-F,F] \supseteq$};
%%right value
\draw [->] (0,-... | https://arxiv.org/abs/1609.00896 | arxiv | 2016-09-06T02:03:32 | |
F() is a function and has derivate function F'(). | \documentclass[11pt,documentclass,onecolumn]{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{color}
\usepackage{color}
\usepackage{tikz}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}
\def\PI{2*3.14159265359}
\def\s{2}
\def\dy{4}
\node at (2,1) {$F(\theta)$};
\node at (-8,-0.5) {$... | https://arxiv.org/abs/1609.00896 | arxiv | 2016-09-06T02:03:32 | |
Filter G'(f) | \documentclass[11pt,documentclass,onecolumn]{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{color}
\usepackage{color}
\usepackage{tikz}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}
\def\PI{3.1415926}
\def\s{3}
\def\height{0.8}
\def\rh{\height*sin(\s* 0.05 r)/0.05 }
\def\rc{1}
\def\righ... | https://arxiv.org/abs/1609.00896 | arxiv | 2016-09-06T02:03:32 | |
Vertex Subset Relationships | \documentclass[12pt]{article}
\usepackage{amsfonts,amssymb,amscd,amsmath,enumerate,verbatim,calc,graphicx}
\usepackage[colorlinks,breaklinks,backref]{hyperref}
\usepackage[]{color}
\usepackage{color}
\usepackage{tikz}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}[->,>=stealth',shorten >=1pt,auto,node d... | https://arxiv.org/abs/1412.5842 | arxiv | 2015-08-27T02:11:42 | |
A 1-identifying code in the graph B(2,3)(black vertices). A 2-identifying code in this graph requires all vertices but one of \{000,111\}, and there are no t-identifying codes for t 3. | \documentclass[12pt]{article}
\usepackage{amsfonts,amssymb,amscd,amsmath,enumerate,verbatim,calc,graphicx}
\usepackage[colorlinks,breaklinks,backref]{hyperref}
\usepackage[]{color}
\usepackage{color}
\usepackage{tikz}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}[->,>=stealth',shorten >=1pt,auto,node d... | https://arxiv.org/abs/1412.5842 | arxiv | 2015-08-27T02:11:42 | |
A minimum size determining set for B(2,3)(black vertex). | \documentclass[12pt]{article}
\usepackage{amsfonts,amssymb,amscd,amsmath,enumerate,verbatim,calc,graphicx}
\usepackage[colorlinks,breaklinks,backref]{hyperref}
\usepackage[]{color}
\usepackage{color}
\usepackage{tikz}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}[->,>=stealth',shorten >=1pt,auto,node d... | https://arxiv.org/abs/1412.5842 | arxiv | 2015-08-27T02:11:42 | |
A directed resolving set in the graph B(2,3)(black vertices). | \documentclass[12pt]{article}
\usepackage{amsfonts,amssymb,amscd,amsmath,enumerate,verbatim,calc,graphicx}
\usepackage[colorlinks,breaklinks,backref]{hyperref}
\usepackage[]{color}
\usepackage{color}
\usepackage{tikz}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}[->,>=stealth',shorten >=1pt,auto,node d... | https://arxiv.org/abs/1412.5842 | arxiv | 2015-08-27T02:11:42 | |
Examples of popular concave penalization functions, that are closer to _0 than _1. In this work, we focus on MCP. | \documentclass[journal,a4paper, 10pt, twocolumn]{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{color}
\usepackage{pgfplots}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usetikzlibrary{intersections}
\usepackage[latin1]{inputenc}
\begin{document}
\begin{tikzpicture}[scale=0.8]
\begin{axis}[xmin=-1.8,x... | https://arxiv.org/abs/1611.02431 | arxiv | 2016-11-09T02:04:12 | |
T^i_k has 4 components. | \documentclass[reqno,12pt,twoside,english]{amsart}
\usepackage[T1]{fontenc}
\usepackage[latin9]{inputenc}
\usepackage{amssymb}
\usepackage{amsmath,amsfonts,epsfig}
\usepackage{tikz}
\usetikzlibrary{arrows,patterns}
\usepackage{amssymb,latexsym}
\usetikzlibrary{arrows,patterns}
\usepackage{color}
\usepackage[final,linkc... | https://arxiv.org/abs/1710.02050 | arxiv | 2017-10-06T02:07:59 | |
A 3-trumpet and its loop. | \documentclass[reqno,12pt,twoside,english]{amsart}
\usepackage[T1]{fontenc}
\usepackage[latin9]{inputenc}
\usepackage{amssymb}
\usepackage{amsmath,amsfonts,epsfig}
\usepackage{tikz}
\usetikzlibrary{arrows,patterns}
\usepackage{amssymb,latexsym}
\usetikzlibrary{arrows,patterns}
\usepackage{color}
\usepackage[final,linkc... | https://arxiv.org/abs/1710.02050 | arxiv | 2017-10-06T02:07:59 | |
Vertical planes intersecting a trumpet. | \documentclass[reqno,12pt,twoside,english]{amsart}
\usepackage[T1]{fontenc}
\usepackage[latin9]{inputenc}
\usepackage{amssymb}
\usepackage{amsmath,amsfonts,epsfig}
\usepackage{tikz}
\usetikzlibrary{arrows,patterns}
\usepackage{amssymb,latexsym}
\usetikzlibrary{arrows,patterns}
\usepackage{color}
\usepackage[final,linkc... | https://arxiv.org/abs/1710.02050 | arxiv | 2017-10-06T02:07:59 | |
Loop _1 is a commutator of _2 and _2. | \documentclass[reqno,12pt,twoside,english]{amsart}
\usepackage[T1]{fontenc}
\usepackage[latin9]{inputenc}
\usepackage{amssymb}
\usepackage{amsmath,amsfonts,epsfig}
\usepackage{tikz}
\usetikzlibrary{arrows,patterns}
\usepackage{amssymb,latexsym}
\usetikzlibrary{arrows,patterns}
\usepackage{color}
\usepackage[final,linkc... | https://arxiv.org/abs/1710.02050 | arxiv | 2017-10-06T02:07:59 | |
The rectangular parallelepiped C^i_k contains T^i+1_k and T^i+2_k. | \documentclass[reqno,12pt,twoside,english]{amsart}
\usepackage[T1]{fontenc}
\usepackage[latin9]{inputenc}
\usepackage{amssymb}
\usepackage{amsmath,amsfonts,epsfig}
\usepackage{tikz}
\usetikzlibrary{arrows,patterns}
\usepackage{amssymb,latexsym}
\usetikzlibrary{arrows,patterns}
\usepackage{color}
\usepackage[final,linkc... | https://arxiv.org/abs/1710.02050 | arxiv | 2017-10-06T02:07:59 | |
A piece of the trumpet wall. | \documentclass[reqno,12pt,twoside,english]{amsart}
\usepackage[T1]{fontenc}
\usepackage[latin9]{inputenc}
\usepackage{amssymb}
\usepackage{amsmath,amsfonts,epsfig}
\usepackage{tikz}
\usetikzlibrary{arrows,patterns}
\usepackage{amssymb,latexsym}
\usetikzlibrary{arrows,patterns}
\usepackage{color}
\usepackage[final,linkc... | https://arxiv.org/abs/1710.02050 | arxiv | 2017-10-06T02:07:59 | |
Case 2. | \documentclass[reqno,12pt,twoside,english]{amsart}
\usepackage[T1]{fontenc}
\usepackage[latin9]{inputenc}
\usepackage{amssymb}
\usepackage{amsmath,amsfonts,epsfig}
\usepackage{tikz}
\usetikzlibrary{arrows,patterns}
\usepackage{amssymb,latexsym}
\usetikzlibrary{arrows,patterns}
\usepackage{color}
\usepackage[final,linkc... | https://arxiv.org/abs/1710.02050 | arxiv | 2017-10-06T02:07:59 | |
Response time (seconds) for correct and incorrect player predictions. Distributions are not significantly different (p=0.419). | \documentclass[format=acmsmall, review=false, screen=true]{acmart}
\usepackage{pgfplots}
\pgfplotsset{compat=1.13}
\usetikzlibrary{pgfplots.groupplots}
\usetikzlibrary{shapes.geometric}
\pgfplotsset{
jitter/.style={
y filter/.code={\pgfmathparse{\pgfmathresult+rnd*#1}}
},
jitter/.default=0.05
}
\be... | https://arxiv.org/abs/1809.00740 | arxiv | 2018-09-05T02:24:11 | |
No Entropy | \documentclass[10pt,journal,transmag]{IEEEtran}
\usepackage{tikz}
\usepackage{tikzscale}
\usepackage{colortbl}
\usepackage{pgfplotstable}
\usepackage{pgfplots}
\usepackage{amsmath,amsfonts,amssymb,amsthm,bm}
\begin{document}
\begin{tikzpicture}
\begin{axis}[
xlabel={Epoch},
ylabel={Accuracy},
legend pos=... | https://arxiv.org/abs/1709.08385 | arxiv | 2017-09-26T02:12:53 | |
Accuracy | \documentclass[10pt,journal,transmag]{IEEEtran}
\usepackage{tikz}
\usepackage{tikzscale}
\usepackage{colortbl}
\usepackage{pgfplotstable}
\usepackage{pgfplots}
\usepackage{amsmath,amsfonts,amssymb,amsthm,bm}
\begin{document}
\begin{tikzpicture}
\begin{axis}[
xlabel={Epoch},
ylabel={Accuracy},
legend pos=... | https://arxiv.org/abs/1709.08385 | arxiv | 2017-09-26T02:12:53 | |
Loss | \documentclass[10pt,journal,transmag]{IEEEtran}
\usepackage{tikz}
\usepackage{tikzscale}
\usepackage{colortbl}
\usepackage{pgfplotstable}
\usepackage{pgfplots}
\usepackage{amsmath,amsfonts,amssymb,amsthm,bm}
\begin{document}
\begin{tikzpicture}
\begin{axis}[
xlabel={Epoch},
ylabel={Loss},
legend pos=nor... | https://arxiv.org/abs/1709.08385 | arxiv | 2017-09-26T02:12:53 | |
Unfolding of the original square trajectories for the ball which corresponds to straight lines. | \documentclass[english]{article}
\usepackage{amssymb,amsmath,amsfonts,amsthm,epsfig,pstricks,graphics,tikz}
\begin{document}
\begin{tikzpicture}
\fill[gray!20!white] (0,0)--(9,0)--(9,3)--(0,3)--(0,0);
\fill[white] (0,0)--(3,0)--(3,3)--(0,3)--(0,0);
\draw[ultra thick] (0,0)--(9,0)--(9,3)--(0,3)--(0,0);
\foreach \x in ... | https://arxiv.org/abs/1906.01911 | arxiv | 2019-06-06T02:11:07 | |
Distribution of all endpoints for words of fixed length. Red equals n=1, orange n=2, yellow n=3, green n=4, blue n=5 and violet n=6. | \documentclass[english]{article}
\usepackage{amssymb,amsmath,amsfonts,amsthm,epsfig,pstricks,graphics,tikz}
\begin{document}
\begin{tikzpicture}[scale=0.8]
\draw (0,0) grid (10.5,7.5);
\draw(0,0)--(7.5,7.5);
\fill[red!40!black,draw=black] (1,1) circle (0.1); %n=0
\fill[red,draw=black] (2,1) circle (0.1); %n=1
\fi... | https://arxiv.org/abs/1906.01911 | arxiv | 2019-06-06T02:11:07 | |
Quadratic billiard table with four corners labelled as A,~B,~C and D. | \documentclass[english]{article}
\usepackage{amssymb,amsmath,amsfonts,amsthm,epsfig,pstricks,graphics,tikz}
\begin{document}
\begin{tikzpicture}
\draw[ultra thick] (0,0)--(2,0)--(2,2)--(0,2)--(0,0);
\node[left] at (0,0) {$A$};
\node[left] at (0,2) {$D$};
\node[right] at (2,0) {$B$};
\node[right] at (2,2) {$C$};
\end... | https://arxiv.org/abs/1906.01911 | arxiv | 2019-06-06T02:11:07 | |
Construction of the straight line with slope m= by action of fib^k on 11. In addition, the line with slope m=1 is shown. | \documentclass[english]{article}
\usepackage{amssymb,amsmath,amsfonts,amsthm,epsfig,pstricks,graphics,tikz}
\begin{document}
\begin{tikzpicture}[scale=0.8]
\draw[ultra thick,blue,dashed] (0,0)--(31.717:11) node[right] {\textbf{$m=\frac{1}{\varphi}$}};
\draw[gray] (0,0) grid (10.5,9.5);
\fill[black] (1,1) circle (0.1... | https://arxiv.org/abs/1906.01911 | arxiv | 2019-06-06T02:11:07 | |
Blue points correspond to the words ^n_2. Red points correspond to words of the form ^n_1^n_2 forming straight lines of slope m=1n_1 with respect to the starting point (1|0). | \documentclass[english]{article}
\usepackage{amssymb,amsmath,amsfonts,amsthm,epsfig,pstricks,graphics,tikz}
\begin{document}
\begin{tikzpicture}[scale=0.8]
\draw[gray] (0,0) grid (9.5,9.5);
\draw[black,ultra thick, dashed] (1,0)--(1,9.5);
\draw[black,dashed] (1,0)--(9.5,8.5);
\draw[black,dashed] (1,0)--(9.5,4.25);
\d... | https://arxiv.org/abs/1906.01911 | arxiv | 2019-06-06T02:11:07 | |
A hangar having 2 bigons, 2 (curved) squares and a hexagon in the boundary. | \documentclass[english,12pt,leqno]{article}
\usepackage[latin1]{inputenc}
\usepackage{tikz-cd}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{pgfplots}
\usetikzlibrary{patterns}
\usetikzlibrary{calc}
\usepackage[OT2,T1]{fontenc}
\begin{document}
\begin{tikzpicture}[scale=0.5]
\node (a) at (10, -3){}; \fill... | https://arxiv.org/abs/1909.09793 | arxiv | 2019-10-03T02:03:55 | |
A point z in a Fox-Neuwirth-Fuchs cell. | \documentclass[english,12pt,leqno]{article}
\usepackage[latin1]{inputenc}
\usepackage{tikz-cd}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{pgfplots}
\usetikzlibrary{patterns}
\usetikzlibrary{calc}
\usepackage[OT2,T1]{fontenc}
\begin{document}
\begin{tikzpicture}[scale=.4, baseline=(current bounding box.cent... | https://arxiv.org/abs/1909.09793 | arxiv | 2019-10-03T02:03:55 | |
The contingency matrix () associated to z^n(). | \documentclass[english,12pt,leqno]{article}
\usepackage[latin1]{inputenc}
\usepackage{tikz-cd}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{pgfplots}
\usetikzlibrary{patterns}
\usetikzlibrary{calc}
\usepackage[OT2,T1]{fontenc}
\begin{document}
\begin{tikzpicture}[scale=.4, baseline=(current bounding box.cent... | https://arxiv.org/abs/1909.09793 | arxiv | 2019-10-03T02:03:55 | |
Let S(5)=\{x Z : x 5 \{0,3,4\}\}. We have Pairs_5(X) = \{(bb,aaabb),(abb,aabb),(aabb,abb)\}, and Pairs_5(Y) = \{(ba,ababa),(aba,baba),(baba,aba)\}. The compacted trie T(F) is illustrated above with light edges dotted. As a result, Pairs_5^(1)(X)=Pairs_5(X)\;\\\{(redab,aaabb),(breda,aaabb),(bb,aredbabb), (abreda,aabb),(... | \documentclass{article}
\usepackage{amsthm,amssymb,amsmath}
\usepackage[utf8]{inputenc}
\usepackage{amsmath,amsfonts}
\usepackage{tikz}
\usetikzlibrary{decorations.pathmorphing}
\usetikzlibrary{decorations.markings}
\usetikzlibrary{decorations.pathmorphing,shapes}
\usetikzlibrary{calc,decorations.pathmorphing,shapes}
\... | https://arxiv.org/abs/1802.06369 | arxiv | 2018-02-20T02:08:44 | |
If LCF_k(X,Y), then there exist (U_1,U_2)Pairs_(X) and (V_1,V_2)Pairs_(Y) such that LCF_k(X,Y)=LCP_p(U_1,U_2)+LCP_q(V_1,V_2) for some p+q=k. | \documentclass{article}
\usepackage{amsthm,amssymb,amsmath}
\usepackage[utf8]{inputenc}
\usepackage{amsmath,amsfonts}
\usepackage{tikz}
\usetikzlibrary{decorations.pathmorphing}
\usetikzlibrary{decorations.markings}
\usetikzlibrary{decorations.pathmorphing,shapes}
\usetikzlibrary{calc,decorations.pathmorphing,shapes}
\... | https://arxiv.org/abs/1802.06369 | arxiv | 2018-02-20T02:08:44 | |
An example of a 6-cover S_24(6)=\{2,3,5, 8,9,11, 14,15,19, 20,21,23\}, with the elements marked as black circles. For example, we may have h(3,10)=5 since 3+5,\,10+5S_24(6). | \documentclass{article}
\usepackage{amsthm,amssymb,amsmath}
\usepackage[utf8]{inputenc}
\usepackage{amsmath,amsfonts}
\usepackage{tikz}
\usetikzlibrary{decorations.pathmorphing}
\usetikzlibrary{decorations.markings}
\usetikzlibrary{decorations.pathmorphing,shapes}
\usetikzlibrary{calc,decorations.pathmorphing,shapes}
\... | https://arxiv.org/abs/1802.06369 | arxiv | 2018-02-20T02:08:44 | |
Example instance for Colored Trees Problem. Assuming that each node has weight equal to the distance from the root, the optimal solution is a pair of nodes (v_1,v_2) as shown in the figure. Both v_1 and v_2 have as a descendant a blue leaf with number 4 and a red leaf with number 2. | \documentclass{article}
\usepackage{amsthm,amssymb,amsmath}
\usepackage[utf8]{inputenc}
\usepackage{amsmath,amsfonts}
\usepackage{tikz}
\usetikzlibrary{decorations.pathmorphing}
\usetikzlibrary{decorations.markings}
\usetikzlibrary{decorations.pathmorphing,shapes}
\usetikzlibrary{calc,decorations.pathmorphing,shapes}
\... | https://arxiv.org/abs/1802.06369 | arxiv | 2018-02-20T02:08:44 | |
Star-triangle move on a lozenge graph. The angles satisfy _1 + _2 + _3 = 2. | \documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts,amssymb}
\usepackage[usenames, dvipsnames]{xcolor}
\usepackage{tikz}
\usepackage{tikz-3dplot}
\usetikzlibrary{arrows,decorations,matrix,calc,decorations.markings,arrows.meta}
\uset... | https://arxiv.org/abs/1811.02026 | arxiv | 2018-11-07T02:03:12 | |
The quadrangulation Q(dashed) at a face f and the decorated graph of Fan and Wu FanWu(solid lines) with its dimer weights. The functions A,B,C,D are implicitly evaluated at f. | \documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts,amssymb}
\usepackage[usenames, dvipsnames]{xcolor}
\usepackage{tikz}
\usepackage{tikz-3dplot}
\usetikzlibrary{arrows,decorations,matrix,calc,decorations.markings,arrows.meta}
\uset... | https://arxiv.org/abs/1811.02026 | arxiv | 2018-11-07T02:03:12 | |
Coefficients of the matrix $-TD +\frac12\left(K_{\alpha,\beta'} + K_{\alpha',\beta}\right)$ at a face. | \documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts,amssymb}
\usepackage[usenames, dvipsnames]{xcolor}
\usepackage{tikz}
\usepackage{tikz-3dplot}
\usetikzlibrary{arrows,decorations,matrix,calc,decorations.markings,arrows.meta}
\uset... | https://arxiv.org/abs/1811.02026 | arxiv | 2018-11-07T02:03:12 | |
The decorated graph G^T of Hsue, Lin and Wu HsueLinWu with its dimer weights. | \documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts,amssymb}
\usepackage[usenames, dvipsnames]{xcolor}
\usepackage{tikz}
\usepackage{tikz-3dplot}
\usetikzlibrary{arrows,decorations,matrix,calc,decorations.markings,arrows.meta}
\uset... | https://arxiv.org/abs/1811.02026 | arxiv | 2018-11-07T02:03:12 | |
The eight possible configurations for at a face f and their local weight w_f(). | \documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts,amssymb}
\usepackage[usenames, dvipsnames]{xcolor}
\usepackage{tikz}
\usepackage{tikz-3dplot}
\usetikzlibrary{arrows,decorations,matrix,calc,decorations.markings,arrows.meta}
\uset... | https://arxiv.org/abs/1811.02026 | arxiv | 2018-11-07T02:03:12 | |
Entries of R(f)(left) and R(f)(right) are indexed by the occupation state of (i_1,i_2) and (o_1,o_2), in the order (absent, absent), (absent,present), (present,absent), (present,present). | \documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts,amssymb}
\usepackage[usenames, dvipsnames]{xcolor}
\usepackage{tikz}
\usepackage{tikz-3dplot}
\usetikzlibrary{arrows,decorations,matrix,calc,decorations.markings,arrows.meta}
\uset... | https://arxiv.org/abs/1811.02026 | arxiv | 2018-11-07T02:03:12 | |
``Star-triangle'' move on the quadrangulation (solid lines) and its dual on which the 8V-configurations are defined (dashed lines). | \documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts,amssymb}
\usepackage[usenames, dvipsnames]{xcolor}
\usepackage{tikz}
\usepackage{tikz-3dplot}
\usetikzlibrary{arrows,decorations,matrix,calc,decorations.markings,arrows.meta}
\uset... | https://arxiv.org/abs/1811.02026 | arxiv | 2018-11-07T02:03:12 | |
A portion of a lozenge graph. | \documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts,amssymb}
\usepackage[usenames, dvipsnames]{xcolor}
\usepackage{tikz}
\usepackage{tikz-3dplot}
\usetikzlibrary{arrows,decorations,matrix,calc,decorations.markings,arrows.meta}
\uset... | https://arxiv.org/abs/1811.02026 | arxiv | 2018-11-07T02:03:12 | |
Two equivalent representations of an eight-vertex configuration on ^2. | \documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts,amssymb}
\usepackage[usenames, dvipsnames]{xcolor}
\usepackage{tikz}
\usepackage{tikz-3dplot}
\usetikzlibrary{arrows,decorations,matrix,calc,decorations.markings,arrows.meta}
\uset... | https://arxiv.org/abs/1811.02026 | arxiv | 2018-11-07T02:03:12 | |
Example of the decomposition in eq:mudec for =(5,4,2,1,1). We have =(1,1,1), =(1,1) and =(4,3,1) | \documentclass[12pt,psamsfonts,reqno]{amsart}
\usepackage[utf8]{inputenc}
\usepackage{mathtools,amsmath,amssymb}
\usepackage[T1]{fontenc}
\usepackage{tikz}
\usetikzlibrary{decorations.pathreplacing}
\begin{document}
\begin{tikzpicture}
\foreach \a in {2,3,4,5} {
\begin{scope}[shift={(0.5*\a,0)}]
\draw (0,0)... | https://arxiv.org/abs/1808.00799 | arxiv | 2018-08-03T02:11:19 |
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