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Worst possible unannounced absences after two completed rounds.
\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
A simple example of argumentation framework
\documentclass[oribibl]{llncs} \usepackage{amssymb} \usepackage{amsmath,bm} \usepackage{tikz} \usetikzlibrary{shapes,arrows,automata} \begin{document} \begin{tikzpicture}[->,>=stealth',shorten >=1pt,auto,node distance=1.4cm, semithick] \tikzstyle{vBlue}=[draw=blue!50,fill=blue!5,circle,text width=5.5mm,inner sep=1pt...
https://arxiv.org/abs/1406.3877
arxiv
2014-07-17T02:08:51
Optimal control problem: The dynamical system states are represented by \{x_i\}, and the control by nodes \{u_i\}.
\documentclass[]{article} \usepackage{amsmath} \usepackage{amssymb} \usepackage{color} \usepackage[latin1]{inputenc} \usepackage{tikz} \usetikzlibrary{trees, arrows, matrix, positioning} \begin{document} \begin{tikzpicture}[shorten >=1pt,->] \tikzstyle{vertex}=[circle, minimum size=0pt,inner sep=0pt] \foreac...
https://arxiv.org/abs/1508.00952
arxiv
2016-04-26T02:19:33
In this figure we show transceivers number of the set l^t=\{l_1,l_2,,l_r\} with the closed circular shape. The complimentary transceivers out of this circular shape can be modeled by the set \{1,,K\}-l^t. Also there is a connection between all transmitters and receivers but to avoid being so crowded we show a few of th...
\documentclass[10pt,onecolumn]{IEEEtran} \usepackage{amssymb} \usepackage[cmex10]{amsmath} \usepackage{tikz} \usepackage{tikz} \begin{document} \begin{tikzpicture} \draw (-12,4) ellipse (0.8cm and 1.5cm); \draw (-9,4) ellipse (0.8cm and 1.5cm); \draw (-12,6) circle (0.05cm); \node (a) at (-12.25,6)...
https://arxiv.org/abs/1602.03328
arxiv
2016-02-11T02:06:42
Automaton Generating the Cantor Sequence.
\documentclass{amsart} \usepackage{amsmath} \usepackage{amssymb} \usepackage{pgf} \usepackage{tikz} \usetikzlibrary{arrows,automata} \begin{document} \begin{tikzpicture}[shorten >=1pt,node distance=2cm,auto] \node[initial,state] (q_0) {$a/1$}; \node[state] (q_1) [right of=q_0] {$b/0$}; ...
https://arxiv.org/abs/1407.3578
arxiv
2014-10-27T01:10:52
The pair in the node are the identifier of the node and the color of the node. The pair outside the node are the minimum color in conflict (or if none) and the maximum color used. Node D is a relay for node C and E because c_D=1, the color of C and V. Similarly, Node C is a relay for nodes B and D.
\documentclass[11pt,letter]{article} \usepackage[latin1,utf8]{inputenc} \usepackage{amsmath} \usepackage{amssymb} \usepackage{color} \usepackage[colorlinks=true,linkcolor=blue,citecolor=blue,urlcolor=red]{hyperref} \usepackage{tikz} \usepackage{tkz-graph} \usetikzlibrary{plotmarks,trees,arrows} \usetikzlibrary{calc} \u...
https://arxiv.org/abs/1702.07605
arxiv
2017-02-27T02:05:40
Reliability and latency performance of 4G/5G radio interface solutions relative to different WAMS/SCADA SE services.
\documentclass[journal]{IEEEtran} \usepackage{amsmath} \usepackage[cmyk]{xcolor} \usepackage{pgfplots} \pgfplotsset{compat=1.5} \pgfplotsset{legend image with text/.style={legend image code/.code={% \node[anchor=center] at (0.3cm,0cm) {#1};}},} \begin{document} \begin{tikzpicture} \begin{axis}[width=9cm,height=9cm...
https://arxiv.org/abs/1703.00178
arxiv
2017-05-23T02:05:30
The block construction
\documentclass[10pt,reqno]{amsart} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz} \usetikzlibrary{calc,positioning} \begin{document} \begin{tikzpicture}[dot/.style={circle,inner sep=0pt,fill,minimum size=5pt}, extended line/.style={shorten >=-#1,shorten <=-#1}, extended line/.default=10cm, ...
https://arxiv.org/abs/1705.06801
arxiv
2017-05-22T02:01:36
The global strategy g_A
\documentclass[10pt,letterpaper,conference]{IEEEtran} \usepackage{amsmath, amsthm, amssymb, latexsym} \usepackage[svgnames,hyperref]{xcolor} \usepackage{tikz} \usetikzlibrary{arrows,shapes,snakes,automata,backgrounds,fit,positioning,shapes.multipart} \begin{document} \begin{tikzpicture} \node (G1) [] {$G_1$}; \n...
https://arxiv.org/abs/1504.08211
arxiv
2015-05-01T02:09:01
The original Picaria board and a Tic-tac-toe board
\documentclass[oneside,english]{amsart} \usepackage[T1]{fontenc} \usepackage[latin9]{inputenc} \usepackage{tikz} \begin{document} \begin{tikzpicture}[scale=0.10,baseline=10] \draw[fill] (0,0) circle [radius=.6]; \draw[fill] (10,0) circle [radius=.6]; \draw[fill] (20,0) circle [radius=.6]; \draw[fill] (0,10) circl...
https://arxiv.org/abs/1607.04236
arxiv
2016-07-19T02:07:28
Graphical model for sticky HDP-SLDS. It should be noted that _0 only affects s_1. Similarly _i and _i are only connected to x_1^n.
\documentclass[journal]{IEEEtran} \usepackage[T1]{fontenc} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz} \usetikzlibrary{fit,positioning} \usetikzlibrary{shapes.geometric,positioning} \begin{document} \begin{tikzpicture} \tikzstyle{main}=[circle, minimum size = 6mm, thick, draw =black!80, node dista...
https://arxiv.org/abs/1510.05477
arxiv
2015-10-20T02:18:33
MonteCarlo simulations for K=128, N=2^32. We compare the SAFFRON scheme with the proposed regular-SAFFRON scheme for a left degree =12. We fix the number of bins and vary the rate of the error control code used. The plots in blue indicate the SAFFRON schemelee2015saffron and the plots in red indicate the regular-SAFFRO...
\documentclass[conference,twocolumn]{IEEEtran} \usepackage{amsmath,amssymb,amsthm} \usepackage{fontenc,enumerate} \usepackage{blindtext,color} \usepackage{tikz,pgfplots} \usetikzlibrary{arrows,shapes,chains,matrix,positioning,scopes,patterns,fit} \usetikzlibrary{decorations.markings,decorations.pathmorphing,backgrounds...
https://arxiv.org/abs/1701.07477
arxiv
2017-01-27T02:00:42
MonteCarlo simulations for K=100, N=2^16. We compare the SAFFRON scheme lee2015saffron with the proposed regular SAFFRON scheme for various left degrees \{3,5,7\}. The plots in blue indicate the SAFFRON scheme and the plots in red indicate our regular SAFFRON scheme based on left-and-right-regular bipartite graphs.
\documentclass[conference,twocolumn]{IEEEtran} \usepackage{amsmath,amssymb,amsthm} \usepackage{fontenc,enumerate} \usepackage{blindtext,color} \usepackage{tikz,pgfplots} \usetikzlibrary{arrows,shapes,chains,matrix,positioning,scopes,patterns,fit} \usetikzlibrary{decorations.markings,decorations.pathmorphing,backgrounds...
https://arxiv.org/abs/1701.07477
arxiv
2017-01-27T02:00:42
Rules for Boolean algebra with two elements
\documentclass[a4paper,10pt]{article} \usepackage[utf8]{inputenc} \usepackage[pdftex]{xcolor} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz} \usepackage{pgfplots} \usetikzlibrary{chains,positioning,backgrounds,mindmap,shadows,trees,decorations,arrows,matrix,fit,shapes.geometric,shapes.symbols,lindenmayersy...
https://arxiv.org/abs/1609.03734
arxiv
2016-09-14T02:03:33
Truth tables of and
\documentclass[a4paper,10pt]{article} \usepackage[utf8]{inputenc} \usepackage[pdftex]{xcolor} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz} \usepackage{pgfplots} \usetikzlibrary{chains,positioning,backgrounds,mindmap,shadows,trees,decorations,arrows,matrix,fit,shapes.geometric,shapes.symbols,lindenmayersy...
https://arxiv.org/abs/1609.03734
arxiv
2016-09-14T02:03:33
Intervals I_c, I_d covering S^1 and I_k, I_k with N = 36.
\documentclass[12pt,a4paper]{article} \usepackage[T1]{fontenc} \usepackage{amsmath,amsthm,amsfonts,amscd,amssymb,bbm,mathrsfs,enumerate,url} \usepackage{graphicx,tikz} \usetikzlibrary{arrows} \usepackage[utf8x]{inputenc} \begin{document} \begin{tikzpicture}[line cap=round,line join=round,>=triangle 45,x=1.0cm,y=1.0cm...
https://arxiv.org/abs/1609.02196
arxiv
2016-09-09T02:01:03
Localization of the factors of C_r. The indicated intervals I_, I_ correspond to thick segments. The operators _l=k^j+1 X_l,\,_l=k^j Y_l,\,_l=k+1^j X_l are localized in the arcs, from the inside, respectively. The corresponding factors in D_r are localized in the complements of these arcs, respectively.
\documentclass[12pt,a4paper]{article} \usepackage[T1]{fontenc} \usepackage{amsmath,amsthm,amsfonts,amscd,amssymb,bbm,mathrsfs,enumerate,url} \usepackage{graphicx,tikz} \usetikzlibrary{arrows} \usepackage[utf8x]{inputenc} \begin{document} \begin{tikzpicture}[line cap=round,line join=round,>=triangle 45,x=1.0cm,y=1.0cm...
https://arxiv.org/abs/1609.02196
arxiv
2016-09-09T02:01:03
Intervals I_c, I_d, K_1,c, K_1,d, K_2,c, K_2,d.
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https://arxiv.org/abs/1609.02196
arxiv
2016-09-09T02:01:03
A triangular array of Fock-Goncharov coordinates for (4,3)(i.e. 3 affine flags in 4-space). The directed edges will serve as a fragment of a quiver. The three ``corners'' of the triangle are not included in the array, as they correspond to (a,b,c) with two entries equal to 0.
\documentclass[12pt]{amsart} \usepackage{amsfonts,amsmath,amsthm,amssymb,tikz} \begin{document} \begin{tikzpicture}[scale = 1] \coordinate (AAAC) at (-.75,3); \coordinate (AAAB) at (.75,3); \coordinate (AACC) at (-1.5,2); \coordinate (AABC) at (0,2); \coordinate (AABB) at (1.5,2); \coordinate (ACCC) at (-2.25,1); \co...
https://arxiv.org/abs/1702.00385
arxiv
2017-02-02T02:08:03
An arborization step indicated schematically. The tensor diagram T has two copies, T' and T'', of the same binary tree, connecting to the boundary in the same way. These trees are joined by a path of length~4. The dashed lines indicate how T' and T'' are connected to the rest of T. The arborization step removes the pat...
\documentclass[12pt]{amsart} \usepackage{amsfonts,amsmath,amsthm,amssymb,tikz} \begin{document} \begin{tikzpicture}[scale = .5] \coordinate (A) at (0,0); \coordinate (B) at (1,-1); \coordinate (C) at (-1,-1); \coordinate (D) at (1,-2); \coordinate (E) at (-1,-2); \draw (E)--(C)--(A)--(B)--(D); \draw (-1.5,-2.5)--(E)...
https://arxiv.org/abs/1702.00385
arxiv
2017-02-02T02:08:03
A tensor diagram for (3,9).
\documentclass[12pt]{amsart} \usepackage{amsfonts,amsmath,amsthm,amssymb,tikz} \begin{document} \begin{tikzpicture}[scale = 1.75] \def \nnn{9}; \def \tic{360/9}; \draw [black] (1,0) arc [radius = 1, start angle = 0, end angle = 360]; \foreach \s in {1,...,\nnn} { \node at ({\tic* (-\s+4)}:1.3 cm) {$v_{\s}$}; \dr...
https://arxiv.org/abs/1702.00385
arxiv
2017-02-02T02:08:03
The first diagram shows how to compute ^* ^* ^*(x) by plugging a tensor diagram x C(3,6) via the connections to the boundary as indidcated. The second diagram does the same for ^* (^2)^* ^*(x).
\documentclass[12pt]{amsart} \usepackage{amsfonts,amsmath,amsthm,amssymb,tikz} \begin{document} \begin{tikzpicture}[scale = 2.5] \draw [black] (1,0) arc [radius = 1, start angle = 0, end angle = 360]; \foreach \s in {1,...,6} { \node at ({360/6 * (-\s+6)-180}:1.3 cm) {$\s$}; \draw [fill= black] ({360/6 * (\s - 1...
https://arxiv.org/abs/1702.00385
arxiv
2017-02-02T02:08:03
A Fock-Goncharov seed (T) inside C((3,6), i.e. for 6 affine flags in 3-space. T is the triangulation of the hexagon indicated in dashed lines. The extended quiver _3(T) is indicated by the directed edges drawn inside the hexagon. The 12 frozen variables lie on the boundary of the hexagon. There are 10 cluster variables...
\documentclass[12pt]{amsart} \usepackage{amsfonts,amsmath,amsthm,amssymb,tikz} \begin{document} \begin{tikzpicture} \coordinate (A) at (0,3); \node at (0,3.5) {$1$}; \coordinate (D) at (0,-3); \node at (0,-3.5) {$4$}; \coordinate (B) at (3.5,2); \node at (3.7,2.5) {$2$}; \coordinate (F) at (-3.5,2); \node at (-3.7,2....
https://arxiv.org/abs/1702.00385
arxiv
2017-02-02T02:08:03
Graphical depiction of the proof of Theorem~L:2nd.
\documentclass[11pt]{article} \usepackage{amsthm,amsfonts,amssymb,amsmath,latexsym, amscd, mathabx,oldgerm,float} \usepackage{color} \usepackage[dvipsnames]{xcolor} \usepackage{tikz} \usetikzlibrary{patterns,calc} \usepackage[colorlinks]{hyperref} \begin{document} \begin{tikzpicture} \newcommand{\crad}{0.7ex} % circl...
https://arxiv.org/abs/1609.02189
arxiv
2016-12-07T02:08:30
Optimized green bands for the Brunswick scenario. Time and state of the signals is shown on the vertical axis. Signals are labelled with intersection numbers and signal groups, e.g., signal 3A and 3B must not be green at the same time. Distances on the horizontal axis are chosen with respect to transit time, the slope ...
\documentclass[1p,number,sort&compress]{scrartcl} \usepackage[utf8]{inputenc} \usepackage{amsmath, amssymb, amsthm} \usepackage{tikz} \usetikzlibrary{arrows} \begin{document} \begin{tikzpicture}[scale=0.02, vertex/.style={circle,draw,thick,inner sep=0pt,minimum size=4mm,color=black,fill=white}, source/.style={circle,...
https://arxiv.org/abs/1509.08709
arxiv
2015-09-30T02:12:01
Linear Chain MDP with 50 states. State 0 is the start state and state 49 is the goal state.
\documentclass{article} \usepackage{tikz} \usetikzlibrary{automata,chains,arrows} \usetikzlibrary{positioning} \tikzset{ %Define standard arrow tip >=stealth', %Define style for boxes punkt/.style={ rectangle, rounded corners, draw=black, very thick, text widt...
https://arxiv.org/abs/1507.00436
arxiv
2015-07-16T02:03:00
The four-point interaction from the cubic interaction. As before solid lines represent the field while dashed lines are .
\documentclass[11pt,a4paper]{article} \usepackage[utf8]{inputenc} \usepackage{tikz,xcolor} \usepackage{pgf} \usetikzlibrary{decorations.pathreplacing} \usetikzlibrary{arrows,shapes} \begin{document} \begin{tikzpicture} \draw[thick, dashed] (0,0) -- (-.5,0.5); \draw[thick, dashed] (0,0) -- (-.5,-0.5); \draw[thic...
https://arxiv.org/abs/1512.05365
arxiv
2016-04-18T02:12:52
The four-point interaction vertex. As before solid lines represent the field while dashed lines are .
\documentclass[11pt,a4paper]{article} \usepackage[utf8]{inputenc} \usepackage{tikz,xcolor} \usepackage{pgf} \usetikzlibrary{decorations.pathreplacing} \usetikzlibrary{arrows,shapes} \begin{document} \begin{tikzpicture} \draw[thick, dashed] (0,0) -- (-.5,0.5); \draw[thick, dashed] (0,0) -- (-.5,-0.5); \draw[thic...
https://arxiv.org/abs/1512.05365
arxiv
2016-04-18T02:12:52
The vertex showing the correction to the power spectrum due to a long mode. The long mode, in grey, is outside the horizon and classical.
\documentclass[11pt,a4paper]{article} \usepackage[utf8]{inputenc} \usepackage{tikz,xcolor} \usepackage{pgf} \usetikzlibrary{decorations.pathreplacing} \usetikzlibrary{arrows,shapes} \begin{document} \begin{tikzpicture}[scale=1] \draw [thick] (0,0) -- (1,0); \draw [thick, dashed] (1,0) -- (3,0); \draw [thick] (3,0)...
https://arxiv.org/abs/1512.05365
arxiv
2016-04-18T02:12:52
A plane covering problem using "bush-shape" sets
\documentclass[12pt]{amsart} \usepackage{amsmath} \usepackage{tikz} \usepgflibrary{arrows} \begin{document} \begin{tikzpicture}[yscale=0.4,xscale=0.6] \node (A) at (12,0) {}; \coordinate (B) at (13,0); \draw[->] (0,0) -- (23,0); \draw (0,8) -- (22,8); \draw (0,16) -- (22,16); \draw[->] (0,0) -- (0,19); \node at (23,-...
https://arxiv.org/abs/1512.05607
arxiv
2015-12-18T02:11:39
Tetrahedron subdivided by barycenters of its 2-faces
\documentclass[a4paper]{amsart} \usepackage[utf8]{inputenc} \usepackage{tikz} \usetikzlibrary{decorations.markings} \usetikzlibrary{positioning} \newcommand{\ee}{\mathbf{e}} \begin{document} \begin{tikzpicture}[z=.3,y=24] \coordinate [label=left:$\ee_i$] (i) at (-4,-2.828,-2.828) ; \coordinate [label=right:$\ee_j...
https://arxiv.org/abs/1409.6149
arxiv
2014-12-16T02:18:43
K_6 mnemonic for 16-vertex R P^4
\documentclass[a4paper]{amsart} \usepackage[utf8]{inputenc} \usepackage{tikz} \usetikzlibrary{decorations.markings} \usetikzlibrary{positioning} \begin{document} \begin{tikzpicture}[auto] \node (A) at (120:4){A}; \node (B) at (60:4) {B} edge node[above,sloped]{$0123$}(A); \node (C) at (360:4){C} edge node[below right...
https://arxiv.org/abs/1409.6149
arxiv
2014-12-16T02:18:43
Neighbourhood of _ie_i in a 3-ball before quotienting.
\documentclass[a4paper]{amsart} \usepackage[utf8]{inputenc} \usepackage{tikz} \usetikzlibrary{decorations.markings} \usetikzlibrary{positioning} \newcommand{\ee}{\mathbf{e}} \begin{document} \begin{tikzpicture}[scale=1.2,vx/.style={circle,inner sep=0pt,minimum size=1mm,draw}] \node (0) at (0,0.2,1) [vx] [fill,labe...
https://arxiv.org/abs/1409.6149
arxiv
2014-12-16T02:18:43
K_6 and K_6^*
\documentclass[a4paper]{amsart} \usepackage[utf8]{inputenc} \usepackage{tikz} \usetikzlibrary{decorations.markings} \usetikzlibrary{positioning} \begin{document} \begin{tikzpicture} \node (A) at (120:2.8){A}; \node (B) at (60:2.8) {B} edge node[above,sloped]{\scriptsize $0123$}(A); \node (C) at (360:2.8){C} edge node...
https://arxiv.org/abs/1409.6149
arxiv
2014-12-16T02:18:43
R P^2 triangulated with squares
\documentclass[a4paper]{amsart} \usepackage[utf8]{inputenc} \usepackage{tikz} \usetikzlibrary{decorations.markings} \usetikzlibrary{positioning} \newcommand{\ee}{\mathbf{e}} \begin{document} \begin{tikzpicture}[>=stealth,vx/.style={circle,inner sep=0pt,minimum size=1mm,draw}] \node (1) at (1,0) [vx] [fill,label=ri...
https://arxiv.org/abs/1409.6149
arxiv
2014-12-16T02:18:43
Antiprism in the link of [_ie_i,_je_j] in X^(2)
\documentclass[a4paper]{amsart} \usepackage[utf8]{inputenc} \usepackage{tikz} \usetikzlibrary{decorations.markings} \usetikzlibrary{positioning} \newcommand{\ee}{\mathbf{e}} \begin{document} \begin{tikzpicture}[vx/.style={circle,inner sep=0pt,minimum size=1mm,draw}] \node (1) at (1,0) [vx] [fill,label=right:\small...
https://arxiv.org/abs/1409.6149
arxiv
2014-12-16T02:18:43
Cube Q^3 and octahedral prism D
\documentclass[a4paper]{amsart} \usepackage[utf8]{inputenc} \usepackage{tikz} \usetikzlibrary{decorations.markings} \usetikzlibrary{positioning} \begin{document} \begin{tikzpicture}[z=2cm,y=1cm,xslant=-1, vx/.style={xshift=4cm,yshift=-4cm,circle,inner sep=0pt, minimum size=1mm,draw,fill=black!50}, vxx/.style=...
https://arxiv.org/abs/1409.6149
arxiv
2014-12-16T02:18:43
Two eyes are linked to a modal box P that controls blinking.
\documentclass[11pt,oneside,article]{memoir} \usepackage{amssymb} \usepackage[usenames,dvipsnames]{xcolor} \usepackage{tikz} \usetikzlibrary{arrows,calc,positioning,scopes,cd,decorations.markings,fit} \tikzset{ wiring diagram/.style={ every to/.style={out=0,in=180,draw}, label/.style={ font=\everymath\expandaft...
https://arxiv.org/abs/1502.07380
arxiv
2015-12-15T02:08:30
A discrete dynamical system of the visual pathway, interpreted over a mode-dependent network in O_MDN, the operad of mode-dependent networks. The thicker wires represent many parallel connections.
\documentclass[11pt,oneside,article]{memoir} \usepackage{amssymb} \usepackage[usenames,dvipsnames]{xcolor} \usepackage{tikz} \usetikzlibrary{arrows,calc,positioning,scopes,cd,decorations.markings,fit} \tikzset{ wiring diagram/.style={ every to/.style={out=0,in=180,draw}, label/.style={ font=\everymath\expandaft...
https://arxiv.org/abs/1502.07380
arxiv
2015-12-15T02:08:30
The monoidal product of multiple mode-dependent networks, displayed with an instance of the mode-dependent network Eye(Nerve, Nerve, Nerve).
\documentclass[11pt,oneside,article]{memoir} \usepackage{amssymb} \usepackage[usenames,dvipsnames]{xcolor} \usepackage{tikz} \usetikzlibrary{arrows,calc,positioning,scopes,cd,decorations.markings,fit} \tikzset{ wiring diagram/.style={ every to/.style={out=0,in=180,draw}, label/.style={ font=\everymath\expandaft...
https://arxiv.org/abs/1502.07380
arxiv
2015-12-15T02:08:30
A feedforward network composed of three layers, written as a mode-dependent network V = (, _!) : (V_1, V_2, V_3) V in O_MDN. Note that the diagram pictured above is technically not a legal wiring diagram: typically multiple inputs cannot map into the same port, but we have used a shorthand here to represent the many in...
\documentclass[11pt,oneside,article]{memoir} \usepackage{amssymb} \usepackage[usenames,dvipsnames]{xcolor} \usepackage{tikz} \usetikzlibrary{arrows,calc,positioning,scopes,cd,decorations.markings,fit} \tikzset{ wiring diagram/.style={ every to/.style={out=0,in=180,draw}, label/.style={ font=\everymath\expandaft...
https://arxiv.org/abs/1502.07380
arxiv
2015-12-15T02:08:30
Field inclusions for cases where there are one or more intermediate fields. The arrows run from the smaller field to the larger; numbers beside the arrows are the degrees of the extensions.
\documentclass[a4paper,oneside,reqno,11pt]{amsart} \usepackage{amssymb} \usepackage{tikz} \usetikzlibrary{graphs,backgrounds,quotes,positioning,arrows,matrix,shapes} \usetikzlibrary{arrows.meta} \begin{document} \begin{tikzpicture} [auto, nd/.style={circle,minimum size = 13 mm,draw}] \matrix[row sep=8mm,column sep=6...
https://arxiv.org/abs/1703.05981
arxiv
2017-03-20T01:06:45
Invariant manifold for the 2-dimensional tandem case, where node 1 is the bottleneck.
\documentclass[10pt, conference]{IEEEtran} \usepackage{amsfonts,amsthm,amssymb,amsmath} \usepackage[usenames,dvipsnames]{color} \usepackage{tikz} \usetikzlibrary{arrows,shapes} \begin{document} \begin{tikzpicture}[scale=1] % Draw axes \draw [<->,thick] (0,5) node (yaxis) [above] {$x_1$} |- (5,0) node ...
https://arxiv.org/abs/1404.6924
arxiv
2014-04-29T02:13:39
(a) Key showing four types of timelines (b) Progression of a poetry system (c) Progression of the HR system.
\documentclass{article} \usepackage[dvipsnames]{xcolor} \usepackage{tikz} \usetikzlibrary{calc} \usetikzlibrary{positioning} \usetikzlibrary{shapes.multipart} \usetikzlibrary{fit,backgrounds} \usepackage{amssymb} \usepackage{amsmath,amsthm} \usepackage[colorinlistoftodos]{todonotes} \begin{document} \begin{tikzpictur...
https://arxiv.org/abs/1603.01770
arxiv
2016-03-08T02:10:21
[3^1+,4,3^1+]-diagram.
\documentclass{amsart} \usepackage[T1]{fontenc} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing} \begin{document} \begin{tikzpicture}[every node/.style={circle,draw,inner sep=2pt}] \node [draw] (d) {}; \node [draw] (c) [right of=d] {} edge[dotted] (d); \node [draw] (b) [right of=c] {} edge (c); \node [dra...
https://arxiv.org/abs/1603.01710
arxiv
2016-04-11T02:03:01
Affine Coxeter group F_4, nodes labelled by generators.
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https://arxiv.org/abs/1603.01710
arxiv
2016-04-11T02:03:01
Coxeter group with diagram [3^2,4,3^2] from .
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https://arxiv.org/abs/1603.01710
arxiv
2016-04-11T02:03:01
The presentation P for , nodes labelled by generators.
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https://arxiv.org/abs/1603.01710
arxiv
2016-04-11T02:03:01
IEEE~754 Floating-point memory layout; see Figure 3.1ieee08.
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https://arxiv.org/abs/1701.00722
arxiv
2017-01-04T02:05:36
For the same data shown in Figure~fig:motivation-breaksOnly, we computed the breakpointError function (E) and its components. False positives (FP) occur when there are more estimated than true breakpoints, and false negatives (FN) are the opposite. For the correct model size (3 segments = 2 breakpoints), the imprecisio...
\documentclass{article} \usepackage[latin1]{inputenc} \usepackage[T1]{fontenc} \usepackage{amsmath,amsthm,amsfonts,amssymb} \usepackage{tikz} \begin{document} \begin{tikzpicture}[x=1pt,y=1pt] \definecolor[named]{fillColor}{rgb}{1.00,1.00,1.00} \path[use as bounding box,fill=fillColor,fill opacity=0.00] (0,0) rectangl...
https://arxiv.org/abs/1509.00368
arxiv
2015-09-02T02:10:54
For a small signal with 2 breakpoints, and for breakpoints i\{1, 2\}, we plot the _i functions that measure the precision of a guess in r_i = [ r_i, r_i]. The blue signal m^22 has 2 breakpoints: B=\{4,14\}. To emphasize the discrete nature of the data, N is drawn at each of the P=22 distinct positions at which data cou...
\documentclass{article} \usepackage[latin1]{inputenc} \usepackage[T1]{fontenc} \usepackage{amsmath,amsthm,amsfonts,amssymb} \usepackage{tikz} \begin{document} \begin{tikzpicture}[x=1pt,y=1pt] \definecolor[named]{fillColor}{rgb}{1.00,1.00,1.00} \path[use as bounding box,fill=fillColor,fill opacity=0.00] (0,0) rectangl...
https://arxiv.org/abs/1509.00368
arxiv
2015-09-02T02:10:54
Schema of R^* with the counter-clockwise orientation indicated by arrows (see Definition~def:pern).
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https://arxiv.org/abs/1701.00722
arxiv
2017-01-04T02:05:36
Interpolated double floating-point evaluations (demarked by crosses) of the devil's sequence u_n(see (eq:devil)) for n\{2,,25\}(see listing~lst:devil).
\documentclass[a4paper,bibliography=totoc,index=totoc]{scrbook} \usepackage[T1]{fontenc} \usepackage[utf8]{inputenc} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz} \usepackage{pgfplots} \begin{document} \begin{tikzpicture} \begin{axis}[xlabel=$n$, ylabel=$u_n$, extra x ticks={2,25}, ...
https://arxiv.org/abs/1701.00722
arxiv
2017-01-04T02:05:36
Interpolated evaluations (demarked by crosses) of $f$ (see (\ref{eq:spike})) in the neighbourhood of $\frac{4}{3}$ for all possible double floating-point numbers in $\left[\frac{4}{3}-2.22\cdot 10^{-15},\frac{4}{3}+2.22\cdot 10^{-15} \right]$ (see listing~\ref{lst:spike}).
\documentclass[a4paper,bibliography=totoc,index=totoc]{scrbook} \usepackage[T1]{fontenc} \usepackage[utf8]{inputenc} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz} \usepackage{pgfplots} \begin{document} \begin{tikzpicture} \begin{axis}[xlabel=$x-\frac{4}{3}$, ylabel=$f(x)$, extra y ticks={-...
https://arxiv.org/abs/1701.00722
arxiv
2017-01-04T02:05:36
P_D(35,1)(demarked by crosses) in comparison with an exponential curve fitted to the endpoints (0,0) and (35,(P_D(35,1)).
\documentclass[a4paper,bibliography=totoc,index=totoc]{scrbook} \usepackage[T1]{fontenc} \usepackage[utf8]{inputenc} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz} \usepackage{pgfplots} \begin{document} \begin{tikzpicture} \begin{axis}[xlabel=Lattice Point, ylabel=Value, extra x ticks={1,35...
https://arxiv.org/abs/1701.00722
arxiv
2017-01-04T02:05:36
Model selection error curves for 2 simulated signals. Minima are highlighted using circles. \\Signal: the log squared error E_signal of the estimated signal with respect to the true piecewise constant signal (see text). \\Breakpoint: exact breakpointError E^B_exact. %described in Section~\ref{sec:breakpoint_error}.\\An...
\documentclass{article} \usepackage[latin1]{inputenc} \usepackage[T1]{fontenc} \usepackage{amsmath,amsthm,amsfonts,amssymb} \usepackage{tikz} \begin{document} \begin{tikzpicture}[x=1pt,y=1pt] \definecolor[named]{fillColor}{rgb}{1.00,1.00,1.00} \path[use as bounding box,fill=fillColor,fill opacity=0.00] (0,0) rectangl...
https://arxiv.org/abs/1509.00368
arxiv
2015-09-02T02:10:54
Comparison of annotation error functions as the set of annotations changes. Minima are highlighted using circles. \\Complete: annotation error %$E_{\text{incomplete}}^{\hat A\cup \hat A^0}$ for a complete set of 6 positive and 7 negative annotations. \\Zero-one: zero-one annotation error %$E_{01}^{\hat A\cup \hat A^0}$...
\documentclass{article} \usepackage[latin1]{inputenc} \usepackage[T1]{fontenc} \usepackage{amsmath,amsthm,amsfonts,amssymb} \usepackage{tikz} \begin{document} \begin{tikzpicture}[x=1pt,y=1pt] \definecolor[named]{fillColor}{rgb}{1.00,1.00,1.00} \path[use as bounding box,fill=fillColor,fill opacity=0.00] (0,0) rectangl...
https://arxiv.org/abs/1509.00368
arxiv
2015-09-02T02:10:54
Evaluation of the Unum Euler partial sums (eq:euler) for iterations n\{0,,20\} with (n_b,n_s)=(12,2)( demarks open/closed interval endpoints); see Listing~lst:euler.
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https://arxiv.org/abs/1701.00722
arxiv
2017-01-04T02:05:36
Evaluation of the Unum spike function F(see (eq:spike-unum)) on all Unums in [11.2,1.9] with (n_b,n_s)=(12,2)( demarks open/closed interval endpoints); see Listing~lst:spikec-unum.
\documentclass[a4paper,bibliography=totoc,index=totoc]{scrbook} \usepackage[T1]{fontenc} \usepackage[utf8]{inputenc} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz} \usepackage{pgfplots} \newcommand{\iffy}{\breve{\infty}} \begin{document} \begin{tikzpicture} \begin{axis}[xlabel=$x$, ylabel=$F(x)$, ...
https://arxiv.org/abs/1701.00722
arxiv
2017-01-04T02:05:36
The duality between a cycle and a star.
\documentclass[11pt]{article} \usepackage{amsmath,amsfonts,amssymb,amsthm} \usepackage[T1]{fontenc} \usepackage{tikz} \usetikzlibrary{patterns} \usetikzlibrary{arrows} \begin{document} \begin{tikzpicture}[scale=1] \filldraw[gray] (0,0) circle (.1); \draw[->] (-1,0)--(-.58,.78); \draw[->] (-.5,.866)--(.4,.866); \draw...
https://arxiv.org/abs/1704.00765
arxiv
2017-04-05T02:00:56
Depiction of a depth-4 nand-tree as a two-player game. Let x be the input to nand_4 shown in the figure. This instance is A-winnable, and P_A(x) consists of the paths \{p_1,p_2,p_3,p_4\}, shown using solid lines. Fault nodes are those with double circles. Each path in P_A(x) encounters two faults at nodes where Player ...
\documentclass[11pt]{article} \usepackage{amsmath,amsfonts,amssymb,amsthm} \usepackage[T1]{fontenc} \usepackage{tikz} \usetikzlibrary{patterns} \usetikzlibrary{arrows} \begin{document} \begin{tikzpicture}[scale=.65] \tikzstyle{vertex} = [circle,draw,fill=white,minimum size=.5em] \tikzstyle{vertexFault} = [circle,draw...
https://arxiv.org/abs/1704.00765
arxiv
2017-04-05T02:00:56
2-relay MIMO Gaussian diamond channel: Each node has n antennas, Parameter = C_01C_02 - C_13C_23, C_012 and C_123 are the cut capacities of the respective cuts
\documentclass[conference]{IEEEtran} \usepackage{amsthm,amssymb,graphicx,multirow,amsmath,amsfonts,cite} \usepackage[usenames,dvipsnames]{color} \usepackage{tikz} \usetikzlibrary{arrows} \begin{document} \begin{tikzpicture}[scale=1] \tikzset{vertex/.style = {shape=circle,very thick,draw,minimum size=1.1em}} \tikzset{...
https://arxiv.org/abs/1602.01982
arxiv
2016-02-09T02:10:23
States of the diamond channel
\documentclass[conference]{IEEEtran} \usepackage{amsthm,amssymb,graphicx,multirow,amsmath,amsfonts,cite} \usepackage[usenames,dvipsnames]{color} \usepackage{tikz} \usetikzlibrary{arrows} \begin{document} \begin{tikzpicture}[scale=0.55] \tikzset{vertex/.style = {shape=circle,very thick,draw,minimum size=2mm}} \tikzset...
https://arxiv.org/abs/1602.01982
arxiv
2016-02-09T02:10:23
An illustration of the rate regions for different choices of Q_1, Q_2
\documentclass[conference]{IEEEtran} \usepackage{amsthm,amssymb,graphicx,multirow,amsmath,amsfonts,cite} \usepackage[usenames,dvipsnames]{color} \usepackage{tikz} \usetikzlibrary{arrows} \begin{document} \begin{tikzpicture}[scale=0.3] \draw [<->] (0,20) -- (0,0) -- (20,0); \node[below right] at (20,0) {$R_1$}; \nod...
https://arxiv.org/abs/1602.01982
arxiv
2016-02-09T02:10:23
The action of the 3-periodic matrix equation: 3-periodic matrix on the fan .
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https://arxiv.org/abs/1703.07593
arxiv
2017-03-31T02:04:26
Action of /3 on Trop(Y_) from Example example: Brauer-Severi A.
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https://arxiv.org/abs/1703.07593
arxiv
2017-03-31T02:04:26
Galois-equivariant tropicalization of the degree-6 curve X Y_ in Example example: Brauer-Severi C. Note the /3-symmetry under the action in Figures figure: example of action and figure: example of tropical action.
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https://arxiv.org/abs/1703.07593
arxiv
2017-03-31T02:04:26
Automaton generating the set (a_n)_n 0 in Lemma %lem2.
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https://arxiv.org/abs/1405.6493
arxiv
2014-11-12T02:12:32
Class Vectors model. While training each class vector is represented by an id. Every word in the sentence of that class co-occurs with its class vector. Class vectors and words vectors are jointly trained using skip-gram approach.
\documentclass[11pt]{article} \usepackage{tikz} \usetikzlibrary{positioning} \usepackage{amsmath, amssymb, amsfonts} \begin{document} \begin{tikzpicture}[ roundnode/.style={circle, draw=green!60, fill=green!5, very thick, minimum size=7mm}, squarednode/.style={rectangle, draw=red!60, fill=red!5, very thick, minimum w...
https://arxiv.org/abs/1508.00189
arxiv
2015-08-04T02:08:49
B(2,3) does not contain any vertices at distance 3 from 011.
\documentclass[12pt]{article} \usepackage{amssymb} \usepackage{amsmath} \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,te...
https://arxiv.org/abs/1508.00403
arxiv
2015-08-04T02:15:54
A gadget in a distributive lattice.
\documentclass[12pt]{article} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture}[scale = 1.25] \node (u) at (0,0) {$u$}; \node (t) at (-1,-1) {$t$}; \node (z) at (1,-1) {$z$}; \node (y) at (0,-2) {$y$}; \node (s) at (-2,-2) {$s$}; \node (x) at (-1,-3) {$x$}; \draw (u) -...
https://arxiv.org/abs/1603.05124
arxiv
2016-05-27T02:05:21
The lattice FD(\{a,b,c\})
\documentclass[12pt]{article} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture}[scale = 2.1] \node (1) at (0,0) {$a \vee b \vee c$}; \node (a+b) at (-1,-0.5) {$a \vee b$}; \node (a+c) at (0,-0.5) {$a \vee c$}; \node (b+c) at (1,-0.5) {$b \vee c$}; ...
https://arxiv.org/abs/1603.05124
arxiv
2016-05-27T02:05:21
The lattice FL(1 + 2).
\documentclass[12pt]{article} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture}[scale = 1.25] \node (A+C) at (0,3) {$a \vee c$}; \node (A+B) at (-1,2) {$a \vee b$}; \node (C) at (1,2) {$c$}; \node (A+B C) at (0,1) {$(a \vee b) \wedge c$}; \node (A) at (-2.5, 0....
https://arxiv.org/abs/1603.05124
arxiv
2016-05-27T02:05:21
Long initial fragments of the two paths are also equal in M but we are never going to use this fact, and it is not indicated on the picture.
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https://arxiv.org/abs/1512.01681
arxiv
2015-12-08T02:07:01
Grid M_3. No 1-2 pattern.
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https://arxiv.org/abs/1512.01681
arxiv
2015-12-08T02:07:01
Grid constructed by T_. Diagonal (``d'') edges are bold and border (``b'') edges are dashed. Labels of the edges in the NW-corner are n,,d,b and w,,d,b so they form a 1-2 pattern.
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https://arxiv.org/abs/1512.01681
arxiv
2015-12-08T02:07:01
Layered structure of verifiable FT computation.
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https://arxiv.org/abs/1703.09568
arxiv
2017-03-29T02:08:23
%The left-hand side illustrates the%procedure for implementing a logical $Z$ rotation on a double-well%qubit by smoothly varying the depths of the wells. The right-hand side%illustrates the procedure for implementing an $X$ rotation by%temporarily lowering the barrier height. The variation of well depths implements a Z...
\documentclass[12pt]{article} \usepackage{graphicx, amssymb, amsmath, fullpage, dsfont, bm, epsfig, multirow, amsthm, url, authblk, MnSymbol} \usepackage{tikz} \usetikzlibrary{backgrounds,fit,decorations.pathreplacing,calc} \begin{document} \begin{tikzpicture} \draw [thick, blue] (0,0) to [out=0,in=180] (1,-1) to [ou...
https://arxiv.org/abs/1703.00454
arxiv
2017-03-03T02:00:17
%Illustration of Our implementation of an entangling two-qubit gate. If the center two wells are occupied (corresponding to the logical 10 state), the attraction between particles induces a phase rotation. In the case that exactly one of the two center wells is occupied, there is a tunneling amplitude into the noncodin...
\documentclass[12pt]{article} \usepackage{graphicx, amssymb, amsmath, fullpage, dsfont, bm, epsfig, multirow, amsthm, url, authblk, MnSymbol} \usepackage{tikz} \usetikzlibrary{backgrounds,fit,decorations.pathreplacing,calc} \begin{document} \begin{tikzpicture} \coordinate (a) at (1,0); \draw [thick, blue] ($(a) + (0,...
https://arxiv.org/abs/1703.00454
arxiv
2017-03-03T02:00:17
Hierarchy of the main functions in CANONICA. Each block lists the public functions called by the function in the blocks title.
\documentclass[preprint,12pt]{elsarticle} \usepackage[% pdftex,% colorlinks=true,% hyperindex,% plainpages=false,% pagebackref=false,% bookmarksopen,% bookmarksnumbered % ]{hyperref} \usepackage[T1]{fontenc} \usepackage[utf8]{inputenc} \usepackage{amssymb} \usepackage{tikz} \usetikzlib...
https://arxiv.org/abs/1705.06252
arxiv
2017-05-18T02:10:20
A u-iceberg J.
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https://arxiv.org/abs/1406.6680
arxiv
2015-07-23T02:08:06
The partial order on the polytopes P_431,w with different w.
\documentclass{amsart} \usepackage[T1]{fontenc} \usepackage[utf8]{inputenc} \usepackage{amsmath,amssymb,amsthm,mathrsfs,latexsym,mathtools,mathdots,enumerate,tikz} \usetikzlibrary{arrows} \begin{document} \begin{tikzpicture}[>=triangle 45,xscale=1.6,y=-1cm, yscale=1.2] \node[draw] (n422) at (1,0) {422}; \node...
https://arxiv.org/abs/1405.4718
arxiv
2015-11-26T02:12:17
The growth mechanism in the unbalanced setting.
\documentclass[12pt,a4paper,reqno]{amsart} \usepackage{amsmath,amssymb,amsthm,calc,verbatim,enumitem,tikz,url,hyperref,mathrsfs,cite} \usetikzlibrary{shapes.misc,calc,intersections,patterns,decorations.pathreplacing} \begin{document} \begin{tikzpicture}[>=latex] \draw (0,0) rectangle (0.5,3) (0.5,0) rectangle (8,...
https://arxiv.org/abs/1406.6680
arxiv
2015-07-23T02:08:06
The sequence of droplets D_0 D_1 D_2.
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https://arxiv.org/abs/1406.6680
arxiv
2015-07-23T02:08:06
A u^r-crossed u^r-strip S together with a possible (u^r,)-partition for S A in which a_1=a_2=a_4=a_5=1 and a_3=3.
\documentclass[12pt,a4paper,reqno]{amsart} \usepackage{amsmath,amssymb,amsthm,calc,verbatim,enumitem,tikz,url,hyperref,mathrsfs,cite} \usetikzlibrary{shapes.misc,calc,intersections,patterns,decorations.pathreplacing} \begin{document} \begin{tikzpicture}[>=latex,scale=0.9] \draw (-0.1,-0.6) -- (0,0) (1,6) -- (1.1,...
https://arxiv.org/abs/1406.6680
arxiv
2015-07-23T02:08:06
Since $w$ is unstable, there exists $X \in \U$ with $X\subset\H_w$. If $x\in X$ lies in the region between $\ell_w$ and $\ell_u$, then the direction $w'$ would be in $\qquasi$, by construction, which contradicts $u$ and $v$ being consecutive in $\stab\cup\qquasi$. Thus $X \subset (\H_u\cup\ell_u\big)\cap\big(\H_v\cup\e...
\documentclass[12pt,a4paper,reqno]{amsart} \usepackage{amsmath,amssymb,amsthm,calc,verbatim,enumitem,tikz,url,hyperref,mathrsfs,cite} \usetikzlibrary{shapes.misc,calc,intersections,patterns,decorations.pathreplacing} \begin{document} \begin{tikzpicture}[>=latex] \node[circle,fill,inner sep=0pt,minimum size=0.15cm...
https://arxiv.org/abs/1406.6680
arxiv
2015-07-23T02:08:06
The figure depicts the application of Lemma~\ref{le:halfcrossed} in the proof of Lemma~\ref{le:indvert} assuming $\alpha^-(u^*)=\infty$. Included are the $\stabu$-droplets $D_{i-1}$, $D_i$ and $D_{i+1}$; the set $L_i$, which is such that $D_{i-1}\cup L_i$ is a strongly connected component of $\big[D_{i-1}\cup(D_i\cap A...
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https://arxiv.org/abs/1406.6680
arxiv
2015-07-23T02:08:06
The situation in the proof of Claim~\ref{cl:partitions} is depicted assuming $z\in Z$. The size of the projection $\big|\<D-\H_u,u\>\big|$ is at most the total length of the dashed line in the $u$-norm (see \eqref{eq:partcl2}).
\documentclass[12pt,a4paper,reqno]{amsart} \usepackage{amsmath,amssymb,amsthm,calc,verbatim,enumitem,tikz,url,hyperref,mathrsfs,cite} \usetikzlibrary{shapes.misc,calc,intersections,patterns,decorations.pathreplacing} \begin{document} \begin{tikzpicture}[>=latex,scale=1.2] \draw (-0.1,-0.6) -- (0,0) (1,6) -- (1.1,...
https://arxiv.org/abs/1406.6680
arxiv
2015-07-23T02:08:06
Power of a point Z with respect to the unit circle.
\documentclass[12pt,twocolumn]{article} \usepackage[utf8]{inputenc} \usepackage{standalone, tikz, pgf} \usetikzlibrary{plotmarks} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture}[scale=2] \draw (-1.2,0) -- (2.2,0); \draw (0,0) circle (1) node [above left=40pt] {$\omega$}; % The points...
https://arxiv.org/abs/1511.05060
arxiv
2015-11-17T02:21:55
Roots of the first elimination ideals for the examples with respect to the unit circle S.
\documentclass[12pt,twocolumn]{article} \usepackage[utf8]{inputenc} \usepackage{standalone, tikz, pgf} \usetikzlibrary{plotmarks} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture}[scale=2] % Grid % The Axis \draw[->] (-1.2,0) -- (2.1,0) node [right] {$\mathrm{Re}$}; \draw[->] (0,-1.2)...
https://arxiv.org/abs/1511.05060
arxiv
2015-11-17T02:21:55
The six-point lattice.
\documentclass[a4paper]{article} \usepackage{cite, amssymb} \usepackage{amsmath} \usepackage{color} \usepackage{tikz} \usetikzlibrary{patterns} \begin{document} \begin{tikzpicture} \node (nml) at (0,0) [circle,fill,label=-135:{$(n-1,l)$}] {}; \node (nmlp) at (0,2.5) [circle,fill,label=135:{$(n-1,l+1)$}]...
https://arxiv.org/abs/1704.05805
arxiv
2017-04-20T02:09:07
(6) (7,3) (9,5,2) (9,7,3,1) (10, 8, 6, 2, 1)
\documentclass{article} \usepackage{tikz, amsmath, amsthm, amssymb} \usetikzlibrary{calc,decorations.pathmorphing,decorations.markings, decorations.pathreplacing,patterns,shapes,arrows} \begin{document} \begin{tikzpicture}[scale=0.35] \draw[thick, smooth] (-1,0)--(4,5); \draw[thick, smooth] (-1,0)--(4,-5); \f...
https://arxiv.org/abs/1704.05809
arxiv
2017-04-20T02:09:09
A plane overpartition % $\emptyset \prec (1) \prec' (2) \prec (2,2) \prec' (3,3,1) \prec (5,3,1) \prec' (5,4,1) \prec (5,4,1,1) \prec' (5,4,2,1)$.%}
\documentclass{article} \usepackage{tikz, amsmath, amsthm, amssymb} \usetikzlibrary{calc,decorations.pathmorphing,decorations.markings, decorations.pathreplacing,patterns,shapes,arrows} \begin{document} \begin{tikzpicture}[scale=0.5] \draw[thick, smooth] (0,0)--(0,4)--(5,4); \draw[thick, smooth] (0,0)--(1,0); \draw[t...
https://arxiv.org/abs/1704.05809
arxiv
2017-04-20T02:09:09
Derivation tree for the grammar in examplegrammar with yield abab.
\documentclass{amsart} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz} \usepackage{tikz-qtree} \begin{document} \begin{tikzpicture} \tikzset{level distance=25pt} \Tree [ .{$S$} [ .{$Sf$} [ .{$Sgf$} [ .{$Ugf$} [ .{$Bf$} [ .{$Uf$} ...
https://arxiv.org/abs/1503.01068
arxiv
2015-06-02T02:20:21
Slice tree arising from the derivation tree in derivationtreeslices. Each edge label indicates the slice that induces the edge.
\documentclass{amsart} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz} \usepackage{tikz-qtree} \begin{document} \begin{tikzpicture}[ sibling distance=40pt, level 3/.style={sibling distance=100pt}, slicenode/.style={circle,draw,fill=black,inner sep=1pt} ...
https://arxiv.org/abs/1503.01068
arxiv
2015-06-02T02:20:21
Example of a derivation tree and two possible shortcut trees. The trees above are two drawings of the same derivation tree. In each of the derivation trees, the boxed nodes induce nodes in the shortcut tree below it. The shading of each boxed node indicates the level of its corresponding node in the shortcut tree. Here...
\documentclass{amsart} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz} \usepackage{tikz-qtree} \begin{document} \begin{tikzpicture}[ level distance=25pt, inner sep=2pt, shortcut1/.style={rectangle,draw=black,fill=gray!0}, shortcut2/.style={rectangle,draw=black,fill=gray!20}, shortcut3/.styl...
https://arxiv.org/abs/1503.01068
arxiv
2015-06-02T02:20:21
Graphical representation of the correlation of the specific factor loadings obtained with the MSFA. Darker grey lines correspond to higher correlations. Correlations smaller than .25 are not shown.
\documentclass[12pt]{article} \usepackage[utf8]{inputenc} \usepackage{amsmath} \usepackage{tikz} \usetikzlibrary{arrows,shapes, positioning} \usepackage{amssymb} \usepackage{color} \usepackage{colortbl} \begin{document} \begin{tikzpicture} [scale=.8,auto=left] % con draw fai il contorno, con bottom color fai dent...
https://arxiv.org/abs/1611.06350
arxiv
2017-01-05T02:03:28
A hallway with four doorways and the slope- tube T=_^-1(D)([0,4]) along with a line of sight having slope greater than .
\documentclass[12pt]{amsart} \usepackage{amssymb} \usepackage{amsmath} \usepackage{tikz} \begin{document} \begin{tikzpicture}[scale=1.5] \draw[very thick] (0,0) -- (0,1); \draw[very thick] (0,2) -- (0,4); \draw[very thick] (1,0) -- (1,1); \draw[very thick] (1,2) -- (1,4); ...
https://arxiv.org/abs/1705.00699
arxiv
2017-05-03T02:01:18
The partition P_5.
\documentclass[12pt]{amsart} \usepackage{amssymb} \usepackage{amsmath} \usepackage{tikz} \begin{document} \begin{tikzpicture}[scale=6] \draw[thick] (0,0) grid (1,1); \draw[] (0,1) -- (1,0); \draw[] (0,1) -- (1/2,0); \draw[] (1/2,1) -- (1,0); \draw[] (0,1) -- (1/3,0)...
https://arxiv.org/abs/1705.00699
arxiv
2017-05-03T02:01:18
The regret equals the vertical distance between curve and tangent.
\documentclass[10pt,a4paper]{article} \usepackage[T1]{fontenc} \usepackage{amsmath} \usepackage{amssymb} \usepackage{pgf} \usepackage{tikz} \usetikzlibrary{arrows} \begin{document} \begin{tikzpicture}[line cap=round,line join=round,>=triangle 45,x=10.0cm,y=10.0cm] \clip(-0.06431,-0.5008779149519884) rectangle (1.141...
https://arxiv.org/abs/1701.01010
arxiv
2017-01-05T02:05:32