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Regular partition with =(4,3,1) and =(1,1).
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https://arxiv.org/abs/1808.00799
arxiv
2018-08-03T02:11:19
Frobenius-like coordinates of the partition (7,4,3,3,2,1): f=3, h_1=4, h_2=1, h_3=0, v_1=3, v_2=2, v_3=1.
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https://arxiv.org/abs/1808.00799
arxiv
2018-08-03T02:11:19
Single column partition for r=5 with =1^[3] and =1^[2].
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https://arxiv.org/abs/1808.00799
arxiv
2018-08-03T02:11:19
Decomposition of the partition =(8,4) for r=3 into three partitions (3,3), (2,1) and (3)
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https://arxiv.org/abs/1808.00799
arxiv
2018-08-03T02:11:19
Schematic of the ladder diagrams that sum up to give exponential growth of C.
\documentclass[12pt]{article} \usepackage{amsmath} \usepackage{tikz-feynman} \usepackage{tikz} \usetikzlibrary{shapes.misc} \usetikzlibrary{decorations.pathmorphing} \tikzset{snake it/.style={decorate, decoration=snake}} \tikzset{cross/.style={cross out, draw=black, minimum size=2*(#1-\pgflinewidth), inner sep=0pt, out...
https://arxiv.org/abs/1901.10446
arxiv
2019-01-30T02:24:18
Relative decrease in error rate (\%) between argument length baseline and (reason codes defined in Table tab:reasons).
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https://arxiv.org/abs/1907.08971
arxiv
2019-07-24T02:10:57
Bethe-Saltpeter equation. The wavy line contains both type-I and type-II rungs.
\documentclass[12pt]{article} \usepackage{amsmath} \usepackage{tikz-feynman} \usepackage{tikz} \usetikzlibrary{shapes.misc} \usetikzlibrary{decorations.pathmorphing} \tikzset{snake it/.style={decorate, decoration=snake}} \tikzset{cross/.style={cross out, draw=black, minimum size=2*(#1-\pgflinewidth), inner sep=0pt, out...
https://arxiv.org/abs/1901.10446
arxiv
2019-01-30T02:24:18
The two types of rungs that enter the ladder summation.
\documentclass[12pt]{article} \usepackage{amsmath} \usepackage{tikz-feynman} \usepackage{tikz} \usetikzlibrary{shapes.misc} \usetikzlibrary{decorations.pathmorphing} \tikzset{snake it/.style={decorate, decoration=snake}} \tikzset{cross/.style={cross out, draw=black, minimum size=2*(#1-\pgflinewidth), inner sep=0pt, out...
https://arxiv.org/abs/1901.10446
arxiv
2019-01-30T02:24:18
An example of interaction vertex insertion. If n_i(t_2) is contracted with n_j(t_1), n_i should at the left of n_j in the correlator. If n_i(t_2) is contracted with n_j(t_1+i), they should be reversed due to the contour ordering. When we add all the possible contractions, these two correlators are combined together to ...
\documentclass[12pt]{article} \usepackage{amsmath} \usepackage{tikz-feynman} \usepackage{tikz} \usetikzlibrary{shapes.misc} \usetikzlibrary{decorations.pathmorphing} \tikzset{snake it/.style={decorate, decoration=snake}} \tikzset{cross/.style={cross out, draw=black, minimum size=2*(#1-\pgflinewidth), inner sep=0pt, out...
https://arxiv.org/abs/1901.10446
arxiv
2019-01-30T02:24:18
Other diagrams contributing to the self-energy.
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https://arxiv.org/abs/1901.10446
arxiv
2019-01-30T02:24:18
Leading order of four point function. The dashed line means the ensemble average of J_ij.
\documentclass[12pt]{article} \usepackage{amsmath} \usepackage{tikz-feynman} \usepackage{tikz} \usetikzlibrary{shapes.misc} \usetikzlibrary{decorations.pathmorphing} \tikzset{snake it/.style={decorate, decoration=snake}} \tikzset{cross/.style={cross out, draw=black, minimum size=2*(#1-\pgflinewidth), inner sep=0pt, out...
https://arxiv.org/abs/1901.10446
arxiv
2019-01-30T02:24:18
Pareto dominance and incomparability cadrans minimizing two objectives: zones of A and D are incomparability zones related to O. % with $A \mathcal{I} O$, $O \mathcal{I} D$ and $A \prec O \prec D$.
\documentclass[10pt]{article} \usepackage{amsmath,amssymb} \usepackage{tikz,tkz-tab} \begin{document} \begin{tikzpicture}[scale=2.9] \draw[->] (-2,0) -- (2.1,0) node[right] {$x$}; \draw[->] (0,-0.45) -- (0,0.5) node[above] {$y$}; \draw (0.375,0) node[above] {$O=(x_O,y_O)$}; \draw (0,0) node[color=blac...
https://arxiv.org/abs/1908.09648
arxiv
2019-08-27T02:24:10
Illustration of a 2d PF with 15 points and the indexation implied by Proposition reord
\documentclass[10pt]{article} \usepackage{amsmath,amssymb} \usepackage{tikz,tkz-tab} \begin{document} \begin{tikzpicture}[scale=0.41395] \draw[->] (0,0) -- (20,0) node[right] {$\emph{Obj}_1$}; \draw[->] (0,0) -- (0,10.9) node[above] {$\emph{Obj}_2$}; \draw (1.2,9.7) node[above] {$x_1$}; \draw (1,9.7) ...
https://arxiv.org/abs/1908.09648
arxiv
2019-08-27T02:24:10
The two possible pyramids of a diagonally symmetric rook placement.
\documentclass[12pt]{article} \usepackage{amssymb,amsmath, enumitem, mathrsfs} \usepackage[utf8]{inputenc} \usepackage[colorlinks]{hyperref} \usepackage{tikz,tikz-cd} \usepackage{tkz-graph} \usetikzlibrary{arrows,positioning,automata} \begin{document} \begin{tikzpicture}[scale=0.5] \draw[thin, dashed, color=red!50]...
https://arxiv.org/abs/1907.08875
arxiv
2019-07-23T02:09:37
The three 4 4 and 5 5 inequivalent diagonally symmetric rook placements.
\documentclass[12pt]{article} \usepackage{amssymb,amsmath, enumitem, mathrsfs} \usepackage[utf8]{inputenc} \usepackage[colorlinks]{hyperref} \usepackage{tikz,tikz-cd} \usepackage{tkz-graph} \usetikzlibrary{arrows,positioning,automata} \begin{document} \begin{tikzpicture}[scale=0.5] \draw (0,0) grid +(4,4); \draw...
https://arxiv.org/abs/1907.08875
arxiv
2019-07-23T02:09:37
Confusion matrix for binary abstention classifiers.
\documentclass[twoside,11pt]{article} \usepackage{amsmath} \usepackage{xcolor} \usepackage{tikz} \usetikzlibrary{% arrows, arrows.meta, decorations, backgrounds, positioning, fit, petri, shadows, datavisualization.formats.functions, calc, shapes, shapes.multipart, mat...
https://arxiv.org/abs/1907.02015
arxiv
2019-07-04T02:18:05
Algorithmic construction of the bijection onto weighted Delannoy paths.
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https://arxiv.org/abs/1907.08875
arxiv
2019-07-23T02:09:37
Reflection across the anti-diagonal d' as an element of D_8.
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https://arxiv.org/abs/1907.08875
arxiv
2019-07-23T02:09:37
Construction of a factorized view tree for a variable order of a free-connex hierarchical query with free variables F. V is used to prefix view names.
\documentclass[10pt]{article} \usepackage{tikz} \usepackage{pgfplots} \usepackage{amssymb} \usetikzlibrary{fit,shapes, arrows, shadows, calc, automata, positioning,backgrounds,decorations.pathmorphing,backgrounds,petri,decorations.markings,decorations.pathreplacing} \usetikzlibrary{topaths,calc} \begin{document} \beg...
https://arxiv.org/abs/1907.01988
arxiv
2019-07-04T02:16:03
Let S, S', and X be equal-length strings such that X is a factor of Q^ and S[i j] = S'[i j] = X[i j]=Q. The asterisks in S denote the positions in Mis(S,X), or equivalently, the misperiods with respect to S[i j]. Similarly for S'. One can observe that Mis(S,X) Mis(S',X)= and that Mis(S,X) Mis(S',X) = Mis(S,S').
\documentclass[11pt]{article} \usepackage{amsthm,amssymb,amsmath} \usepackage[utf8]{inputenc} \usepackage{amsmath,amsfonts} \usepackage{tikz} \usetikzlibrary{trees} \usepackage[utf8]{inputenc} \usepackage[colorinlistoftodos]{todonotes} \usepackage[colorlinks=true, allcolors=blue]{hyperref} \usetikzlibrary{arrows.meta} ...
https://arxiv.org/abs/1907.01815
arxiv
2019-07-04T02:11:09
Illustration of partitioning a matrix for NAS CG with 16 MPI processes; each process has 2 reduce partners (in black) and 1 transpose partner (red).
\documentclass[sigconf,preprint]{acmart} \usepackage{tikz} \usetikzlibrary{calc,decorations.pathreplacing} \usepackage{color} \usepackage{xcolor} \begin{document} \begin{tikzpicture} \draw[thick, scale=0.6] (0, 0) grid (4, 4); \node[anchor=center] (n0) at (0.3, 0.3+3*0.6) {P0}; \node[anchor=center] (n1) at (0.3+...
https://arxiv.org/abs/1905.03184
arxiv
2019-05-09T02:17:53
Construction of skew-aware view trees for a canonical variable order of a hierarchical query with free variables F. The global parameter mode \{`static',`dynamic'\} specifies their execution mode.
\documentclass[10pt]{article} \usepackage{tikz} \usepackage{pgfplots} \usepackage{amssymb} \usetikzlibrary{fit,shapes, arrows, shadows, calc, automata, positioning,backgrounds,decorations.pathmorphing,backgrounds,petri,decorations.markings,decorations.pathreplacing} \usetikzlibrary{topaths,calc} \begin{document} \beg...
https://arxiv.org/abs/1907.01988
arxiv
2019-07-04T02:16:03
Illustration of ensuring the transactional nature of an iteration i: until the last MPI op in iteration i, a rollback is possible, therefore operations need to be idempotent. After the last MPI op call within an iteration, a commit is guaranteed, and operations may change global data irreversibly.
\documentclass[sigconf,preprint]{acmart} \usepackage{tikz} \usetikzlibrary{calc,decorations.pathreplacing} \usepackage{color} \usepackage{xcolor} \begin{document} \begin{tikzpicture}[node distance = 1cm] \node[rectangle] (start) {start iter $i$}; \node[fill=blue!20,fill,rectangle,right of=start] (a) {op}; \node[fill=...
https://arxiv.org/abs/1905.03184
arxiv
2019-05-09T02:17:53
An illustration of the setting in Lemma~lem:alg-anchor-match-problem.
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https://arxiv.org/abs/1907.01815
arxiv
2019-07-04T02:11:09
Different phases of NAS CG and LULESH iterations. Phases in blue and brown are local updates. Phases in yellow are MPI communication events, and detectors of failure. We implement the copy to/from temp buffers (brown) as enablers of transactional iterations. Phases in red provide recovery of communicators (ULFM), as we...
\documentclass[sigconf,preprint]{acmart} \usepackage{tikz} \usetikzlibrary{calc,decorations.pathreplacing} \usepackage{color} \usepackage{xcolor} \begin{document} \begin{tikzpicture}[style = {font=\tiny}, node distance=0.6cm] \node (A1) [fill=black!25,fill,draw,rotate=90] {begin iteration $i$}; \node (T1) [right of=A...
https://arxiv.org/abs/1905.03184
arxiv
2019-05-09T02:17:53
A 1-occurrence of P\,=\,aabbbb in text T\,=\,aaccbbxbaaab at position p=4 with rotation x=2; M(4, 2)=\{(4, 2), (5, 3), (6, 4), (7, 5), (8, 0), (9, 1)\}.
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https://arxiv.org/abs/1907.01815
arxiv
2019-07-04T02:11:09
The setting of Algorithm~alg:periodic; J=J_1 J_2, J'=J'_1 J'_2.
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https://arxiv.org/abs/1907.01815
arxiv
2019-07-04T02:11:09
There exists a strategy ensuring ,s_1_ but it requires infinite memory as it needs to use b up to the point where the running sum becomes non-negative, then switch to e.
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https://arxiv.org/abs/1901.03571
arxiv
2019-01-14T02:15:42
This MDP with d = 6 priorities admits an almost-surely (even surely) winning strategy for _( = d2 + 2): the controller must answer to the path with priority 5(resp.~3, 1) by choosing b(resp.~c, d). This requires O(d2) memory elements.
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https://arxiv.org/abs/1901.03571
arxiv
2019-01-14T02:15:42
A graph of linear clique width 3
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https://arxiv.org/abs/1803.05937
arxiv
2018-03-19T01:00:43
Simulation results for the beam deflection w against time t and spatial domain z^1.
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https://arxiv.org/abs/1811.09672
arxiv
2018-11-27T02:02:07
Graphical representation of the model variables derived from the ellipse shape used to summarise the windstorm footprint.
\documentclass[11pt]{article} \usepackage[utf8]{inputenc} \usepackage{amsmath} \usepackage{tikz} \usetikzlibrary{arrows,decorations.markings} \begin{document} \begin{tikzpicture} \draw[rotate=-30,line width=2pt] (0,0) ellipse (4cm and 2cm); \draw (0,0)node[circle,fill,inner sep=2pt](a){} -- (3,1)node[label=above:$...
https://arxiv.org/abs/1906.03178
arxiv
2019-06-10T02:15:51
Example data-plane model
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https://arxiv.org/abs/1906.03144
arxiv
2019-06-10T02:14:43
Performance evaluation
\documentclass[10pt, conference, compsocconf]{IEEEtran} \usepackage{xcolor} \usepackage{soul,color} \usepackage{tikz} \usetikzlibrary{backgrounds,calc,shadings,shapes,arrows,arrows.meta,shapes.arrows,shapes.symbols,shadows,patterns, datavisualization, datavisualization.formats.functions, matrix} \usepackage{pgfplots} \...
https://arxiv.org/abs/1906.03144
arxiv
2019-06-10T02:14:43
Fig.~fig:b without the bottom and right lines
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https://arxiv.org/abs/1904.08413
arxiv
2019-04-19T02:00:19
A homomorphism between K-extended L-convex sets
\documentclass[11pt]{book} \usepackage{amsfonts,amsmath,amssymb,bm,cmll} \usepackage{tikz} \usetikzlibrary{matrix,arrows,decorations.pathmorphing,backgrounds,decorations.markings} \tikzset{->-/.style={decoration={ markings, mark=at position #1 with {\arrow{>}}},postaction={decorate}}} \tikzset{my grid/.style={very ...
https://arxiv.org/abs/1904.08413
arxiv
2019-04-19T02:00:19
The homomorphism _v
\documentclass[11pt]{book} \usepackage{amsfonts,amsmath,amssymb,bm,cmll} \usepackage{tikz} \usetikzlibrary{matrix,arrows,decorations.pathmorphing,backgrounds,decorations.markings} \tikzset{->-/.style={decoration={ markings, mark=at position #1 with {\arrow{>}}},postaction={decorate}}} \tikzset{my grid/.style={very ...
https://arxiv.org/abs/1904.08413
arxiv
2019-04-19T02:00:19
The precedence graph of the numerical example.
\documentclass{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz} \usetikzlibrary{fit,shapes.geometric,backgrounds,calc} \begin{document} \begin{tikzpicture}[ ->,>=stealth,%shorten >=1pt, auto,node distance=2.0cm,thick, every node/.style={re...
https://arxiv.org/abs/1906.10120
arxiv
2019-06-26T02:00:12
The expanded version of the precedence graph of the numerical example.
\documentclass{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz} \usetikzlibrary{fit,shapes.geometric,backgrounds,calc} \begin{document} \begin{tikzpicture}[ ->,>=stealth,%shorten >=1pt, auto,node distance=2.0cm,thick, every node/.style={re...
https://arxiv.org/abs/1906.10120
arxiv
2019-06-26T02:00:12
The disease status y is predicted from imaging data x_I and the parameters _0(x_G), (x_G)(which are computed from genetic data x_G)
\documentclass[runningheads,a4paper]{llncs} \usepackage{amsmath} \usepackage{amssymb} \usepackage[colorlinks = true,linkcolor = blue,urlcolor =blue, citecolor = blue, anchorcolor = blue]{hyperref} \usepackage{tikz} \usetikzlibrary{bayesnet} \begin{document} \begin{tikzpicture} % Define nodes \node[obs] ...
https://arxiv.org/abs/1710.03627
arxiv
2017-10-11T02:09:23
The MAC rate region achievable for a fixed input distribution p(x_1)p(x_2)(light and dark shaded gray combined). The corner points A and B are achievable by successive cancellation and points located on the dominant face (i.e., the segment connecting A and B) can be achieved by time sharing between A and B.
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https://arxiv.org/abs/1712.10293
arxiv
2018-01-01T02:06:55
Introducing the gauge field.
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https://arxiv.org/abs/1908.01229
arxiv
2019-09-16T02:14:24
A complete non-abelian gauge-invariant theory over and A. Whenever a black right-moving (resp. left-moving) wire for crosses a red wire for A, then A(resp. A^-1) gets applied upon .
\documentclass[runningheads, envcountsame, a4paper]{llncs} \usepackage[utf8]{inputenc} \usepackage{amsmath, amsfonts, amssymb} \usepackage{color} \usepackage{tikz} \usepackage{xcolor} \begin{document} \begin{tikzpicture} \draw[thick] (2,1) -- (4,2); \draw[thick] (6,1) -- (4,2); \draw[thick] (3.8,2) -- (3.8, 3) (...
https://arxiv.org/abs/1908.01229
arxiv
2019-09-16T02:14:24
Both sub-figures initially have the same invariant sets for and A respectively. After a time step, this is not true for : they do not share an invariant set. This figure shows that it is not enough to consider the invariant sets for and A separately
\documentclass[runningheads, envcountsame, a4paper]{llncs} \usepackage[utf8]{inputenc} \usepackage{amsmath, amsfonts, amssymb} \usepackage{color} \usepackage{tikz} \usepackage{xcolor} \begin{document} \begin{tikzpicture} \draw[dashed] (0,-1) -- (0,5); \draw[color=red] (4.5, 0.5) -- (4.5,3.5) (7.5, ...
https://arxiv.org/abs/1908.01229
arxiv
2019-09-16T02:14:24
Conceptual diagram of the variables extracted from the storm track data.
\documentclass[11pt]{article} \usepackage[utf8]{inputenc} \usepackage{amsmath} \usepackage{tikz} \usetikzlibrary{arrows,decorations.markings} \begin{document} \begin{tikzpicture} \draw (-4,-0.5)node[circle,fill,inner sep=2pt,label={[label distance=0.05cm]135:$\boldsymbol{x}_{t-1}$},label={[label distance=0.05cm]225:$...
https://arxiv.org/abs/1905.08840
arxiv
2019-05-23T02:01:34
Assuming that the positive real axis is a critical ray for f, the zeros of f have been considered in different regions as follows: P\'olya in sectors |(z)|<, Schwengeler in logarithmic strips |(z)| c |z||z|, and Heittokangas-Ishizaki-Tohge-Wen in modified logarithmic strips |(z)| c |z||z|^p. Here >0 and c>0 are real, a...
\documentclass[a4paper,12pt]{article} \usepackage[ansinew]{inputenc} \usepackage{amsmath} \usepackage{amssymb} \usepackage{xcolor} \usepackage{tikz} \usetikzlibrary{arrows,shapes,chains} \begin{document} \begin{tikzpicture}[scale=0.7] \draw[->](-2,0)--(13,0)node[left,below]{$x$}; \draw[->](0,-4)--(0,4)node[ri...
https://arxiv.org/abs/1905.08919
arxiv
2019-05-23T02:04:50
The disc D_n and the asymptotic curves in the case p=1.
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https://arxiv.org/abs/1905.08919
arxiv
2019-05-23T02:04:50
A grammar producing an image from a $\left[\textit{house}\right]$ symbol.
\documentclass[runningheads]{llncs} \usepackage{amsmath,amssymb} \usepackage{color} \usepackage{tikz} \usepackage{xcolor} \usepackage{colortbl} \usetikzlibrary{arrows} \usetikzlibrary{shapes.geometric} \usetikzlibrary{shapes.misc, positioning} \usetikzlibrary{shapes.multipart, shapes.arrows} \tikzset{ treenode/.style ...
https://arxiv.org/abs/1905.08910
arxiv
2019-05-23T02:04:14
The domain bounded by the curve =_1+_2+_3+_4.
\documentclass[a4paper,12pt]{article} \usepackage[ansinew]{inputenc} \usepackage{amsmath} \usepackage{amssymb} \usepackage{xcolor} \usepackage{tikz} \usetikzlibrary{arrows,shapes,chains} \begin{document} \begin{tikzpicture} \draw[->](0,0)--(10,0)node[left,below]{$x$}; \draw[->](1,-4)--(1,4)node[right]{$y$}; ...
https://arxiv.org/abs/1905.08919
arxiv
2019-05-23T02:04:50
A capsule network with all activated capsules in blue (left). Here, the topmost activated capsules (dark blue) do not have a common parent capsule that activated. In this case the meta-learning agent adds a common parent / axiom (right).
\documentclass[runningheads]{llncs} \usepackage{amsmath,amssymb} \usepackage{color} \usepackage{tikz} \usepackage{xcolor} \usepackage{colortbl} \usetikzlibrary{arrows} \usetikzlibrary{shapes.geometric} \usetikzlibrary{shapes.misc, positioning} \usetikzlibrary{shapes.multipart, shapes.arrows} \tikzset{ treenode/.style ...
https://arxiv.org/abs/1905.08910
arxiv
2019-05-23T02:04:14
Inversion of a symbol of the grammar parse-tree results in a capsule. We illustrate both the symbol and the capsule using a hexagon to avoid confusion with neurons.
\documentclass[runningheads]{llncs} \usepackage{amsmath,amssymb} \usepackage{color} \usepackage{tikz} \usepackage{xcolor} \usepackage{colortbl} \usetikzlibrary{arrows} \usetikzlibrary{shapes.geometric} \usetikzlibrary{shapes.misc, positioning} \usetikzlibrary{shapes.multipart, shapes.arrows} \tikzset{ treenode/.style ...
https://arxiv.org/abs/1905.08910
arxiv
2019-05-23T02:04:14
Schematic representation of CIL stages. (Left) Cells moving towards each other collide. Blue circles indicate regions of higher protrusion and FA binding activity, characteristic of cell front. Red circles indicate regions of increased contractility, characteristic for the cell rear. A diametric dashed line indicates c...
\documentclass[a4paper,12pt]{article} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz} \usepackage{xcolor} \usetikzlibrary{external} \begin{document} \begin{tikzpicture}[scale=0.65,transform shape] \draw [xshift=0.3cm][yshift = -0.3cm](0.5,1.22) -- (2,0); \draw [xshift=0.3cm][yshift = -0.3cm](0.5,1.22) -...
https://arxiv.org/abs/1901.02386
arxiv
2019-01-09T02:18:33
Schematic representation of CIL for non-binary collisions.
\documentclass[a4paper,12pt]{article} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz} \usepackage{xcolor} \usetikzlibrary{external} \begin{document} \begin{tikzpicture}[scale=0.65,transform shape] % Collision \draw [xshift=-5.64cm](-1.5,1.22) -- (1,1); \draw [xshift=-5.64cm](-1.5,1.22) -- (-1,3); \draw...
https://arxiv.org/abs/1901.02386
arxiv
2019-01-09T02:18:33
The inner structure of a capsule with inputs _i, p_i and outputs _, p_, representing our routing-by-agreement protocol (Equations eq:CapsuleInternals0 to eq:CapsuleInternals4). The outputs are stored in an observation table and individual routes are highlighted in yellow.
\documentclass[runningheads]{llncs} \usepackage{amsmath,amssymb} \usepackage{color} \usepackage{tikz} \usepackage{xcolor} \usepackage{colortbl} \usetikzlibrary{arrows} \usetikzlibrary{shapes.geometric} \usetikzlibrary{shapes.misc, positioning} \usetikzlibrary{shapes.multipart, shapes.arrows} \tikzset{ treenode/.style ...
https://arxiv.org/abs/1905.08910
arxiv
2019-05-23T02:04:14
Schematic representation of binary collisions. (I) Cell 2 moves in the direction of cell 1. The centroids x^i are indicated by blue and red dots, respectively. (II) Collided cells become stationary. (III) An event occurs at time t=T_k+1. Vertical bars indicate centroid positions at the collision time. Following an FA u...
\documentclass[a4paper,12pt]{article} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz} \usepackage{xcolor} \usetikzlibrary{external} \begin{document} \begin{tikzpicture}[scale=0.9,transform shape,every node/.style={scale=1}] \draw [thick,black,->](2,1.3)--(1,1.3); %First \draw (-1,0) circle [radius=1cm]; \...
https://arxiv.org/abs/1901.02386
arxiv
2019-01-09T02:18:33
A sub-graph from Plotto. Nodes are plot fragments with corresponding numbers from Plotto, edges are connections between plot points and edge labels correspond to instructions for character modifications in subsequent fragments.
\documentclass[a4paper]{article} \usepackage{tikz} \usetikzlibrary{arrows,calc,shapes,decorations.pathmorphing,positioning} \tikzset{ %Define standard arrow tip >=stealth', %Define style for different line styles help lines/.style={dashed, thick}, axis/.style={<->}, important line/.style={thick}, connection/.style={thi...
https://arxiv.org/abs/1811.03423
arxiv
2018-11-09T02:14:43
The point [b_n] in M_0,\{t_1,,t_5,u_1,,u_n\}.
\documentclass[11pt,leqno]{amsart} \usepackage[T1]{fontenc} \usepackage{amsmath,xypic,tikz-cd} \usepackage{amssymb} \usepackage[colorlinks, linktocpage, citecolor = purple, linkcolor = purple]{hyperref} \usepackage{color} \usepackage{tikz} \usetikzlibrary{matrix} \usetikzlibrary{patterns} \usetikzlibrary{matrix} \useti...
https://arxiv.org/abs/1707.08676
arxiv
2017-07-28T02:02:39
The general element of H_2,2,0,3.
\documentclass[11pt,leqno]{amsart} \usepackage[T1]{fontenc} \usepackage{amsmath,xypic,tikz-cd} \usepackage{amssymb} \usepackage[colorlinks, linktocpage, citecolor = purple, linkcolor = purple]{hyperref} \usepackage{color} \usepackage{tikz} \usetikzlibrary{matrix} \usetikzlibrary{patterns} \usetikzlibrary{matrix} \useti...
https://arxiv.org/abs/1707.08676
arxiv
2017-07-28T02:02:39
An admissible cover in Adm_22 0,t_1,,t_6,u_1 represented via dual graphs. In degree two the topological type of the cover is uniquely recoverable from the dual graph presentation.
\documentclass[11pt,leqno]{amsart} \usepackage[T1]{fontenc} \usepackage{amsmath,xypic,tikz-cd} \usepackage{amssymb} \usepackage[colorlinks, linktocpage, citecolor = purple, linkcolor = purple]{hyperref} \usepackage{color} \usepackage{tikz} \usetikzlibrary{matrix} \usetikzlibrary{patterns} \usetikzlibrary{matrix} \useti...
https://arxiv.org/abs/1707.08676
arxiv
2017-07-28T02:02:39
On the left-hand side, the topological picture of the general element of W_2,P(top) and _2,P(bottom) in M_2,5 with P = \{p_1,p_2,p_3\}. On the right-hand side, the corresponding dual graphs.
\documentclass[11pt,leqno]{amsart} \usepackage[T1]{fontenc} \usepackage{amsmath,xypic,tikz-cd} \usepackage{amssymb} \usepackage[colorlinks, linktocpage, citecolor = purple, linkcolor = purple]{hyperref} \usepackage{color} \usepackage{tikz} \usetikzlibrary{matrix} \usetikzlibrary{patterns} \usetikzlibrary{matrix} \useti...
https://arxiv.org/abs/1707.08676
arxiv
2017-07-28T02:02:39
GBT top feature importance.
\documentclass[10pt,twocolumn,letterpaper]{article} \usepackage{amsmath} \usepackage{amssymb} \usepackage{color} \usepackage{tikz} \usetikzlibrary{plotmarks,shapes,snakes,calc,positioning,shadows.blur,decorations.pathreplacing,shapes.misc} \usepackage{pgfplots} \usepackage{pgfkeys,pgffor} \pgfplotsset{compat=1.14} \be...
https://arxiv.org/abs/1905.01743
arxiv
2019-05-07T02:26:22
Cellularity score distribution.
\documentclass[10pt,twocolumn,letterpaper]{article} \usepackage{amsmath} \usepackage{amssymb} \usepackage{color} \usepackage{tikz} \usetikzlibrary{plotmarks,shapes,snakes,calc,positioning,shadows.blur,decorations.pathreplacing,shapes.misc} \usepackage{pgfplots} \usepackage{pgfkeys,pgffor} \pgfplotsset{compat=1.14} \be...
https://arxiv.org/abs/1905.01743
arxiv
2019-05-07T02:26:22
Proposed interface circuit
\documentclass[journal,times,onecolumn,12pt]{IEEEtran} \usepackage[american]{circuitikz} \usepackage{tikz} \usetikzlibrary{arrows} \usepackage[cmex10]{amsmath} \begin{document} \begin{tikzpicture}[scale = 1] \draw (-1,7) -- (-1,5.5) to[C] (-1,2.5) --(-1,1) (-1,4.5) node[anchor=east]{$C_P$}; \draw (-2,2.5) to[I] (...
https://arxiv.org/abs/1909.10383
arxiv
2019-09-24T02:28:49
System model
\documentclass[conference,a4paper]{IEEEtran} \usepackage[cmex10]{amsmath} \usepackage{amssymb,amsfonts,relsize,bbm} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage[utf8]{inputenc} \usepackage{tikz} \usetikzlibrary{shapes,arrows,chains,arrows,decorations.pathmorphing,backgrounds,positioning,fit,petri,ca...
https://arxiv.org/abs/1908.06866
arxiv
2019-08-20T02:27:54
Plate diagram for the user group model.
\documentclass[11pt,a4paper]{article} \usepackage{amssymb} \usepackage{xcolor} \usepackage{tikz} \usetikzlibrary{arrows} \usetikzlibrary{decorations.markings} \newcommand{\up}[1]{^{(#1)}} \newcommand{\parPrior}{\ensuremath{\pi}} \newcommand{\parAdapt}[1]{\ensuremath{\rho^{(#1)}}} \begin{document} \begin{tikzpictur...
https://arxiv.org/abs/1806.05947
arxiv
2018-06-18T02:09:55
A convex caterpillar and its spine
\documentclass[a4paper,12pt]{article} \usepackage[utf8]{inputenc} \usepackage{amssymb,amsmath,amsthm,amsfonts, tikz} \begin{document} \begin{tikzpicture}[scale=1] \fill (2.4,3.4) circle (0.1) node[above]{\tiny 1}; \fill (3.4,2.4) circle (0.1) node[right]{\tiny 2}; \fill (3.4,1) circle (0.1) node[right]{\tiny 3}...
https://arxiv.org/abs/1812.09863
arxiv
2018-12-27T02:23:30
G(w) for w = ((1,4),(4,6),(4,5),(1,2),(2,3))
\documentclass[a4paper,12pt]{article} \usepackage[utf8]{inputenc} \usepackage{amssymb,amsmath,amsthm,amsfonts, tikz} \begin{document} \begin{tikzpicture}[scale=1] \fill (2.4,3.4) circle (0.1) node[above]{\tiny 1}; \fill (3.4,1.7) circle (0.1) node[right]{\tiny 2}; \fill (2.4,0) circle (0.1) node[below]{\tiny 3}...
https://arxiv.org/abs/1812.09863
arxiv
2018-12-27T02:23:30
The 2-hop network, M = 16. The optimal solutions of P2 for packet loss rates (0.2,0.2) and (0.2,0.1) are (18,18) and (18,16), respectively.
\documentclass[12pt,draftcls,onecolumn]{IEEEtran} \usepackage[table]{xcolor} \usepackage{tikz} \usetikzlibrary{shapes,arrows,automata} \usepackage[cmex10]{amsmath} \usepackage{amssymb} \usepackage{colortbl} \tikzset{ relay node/.style={circle, minimum size=0.75cm, inner sep=0pt, draw=blue!70, fill=blue!20}, end node/.s...
https://arxiv.org/abs/1709.00588
arxiv
2017-09-05T02:05:41
Perturbation algorithm for a data stream
\documentclass[review]{elsarticle} \usepackage[table]{xcolor} \usepackage{amsmath} \usepackage{amsmath,amssymb,amsthm} \usepackage[framemethod=tikz]{mdframed} \usepackage{tikz} \usetikzlibrary{trees} \usepackage[framemethod=tikz]{mdframed} \usetikzlibrary{positioning,arrows.meta} \usetikzlibrary{arrows.meta} \tikzset{%...
https://arxiv.org/abs/1806.06151
arxiv
2018-06-20T02:09:04
Perturbation algorithm for a static database
\documentclass[review]{elsarticle} \usepackage[table]{xcolor} \usepackage{amsmath} \usepackage{amsmath,amssymb,amsthm} \usepackage[framemethod=tikz]{mdframed} \usepackage{tikz} \usetikzlibrary{trees} \usepackage[framemethod=tikz]{mdframed} \usetikzlibrary{positioning,arrows.meta} \usetikzlibrary{arrows.meta} \tikzset{%...
https://arxiv.org/abs/1806.06151
arxiv
2018-06-20T02:09:04
In Asynchronous Data Parallelism workers compute and commit gradients to the PS asynchronously. This has as a side-effect that some workers are computing, and thus committing, gradients based on old values. These gradients are called stale gradients in literature. In this particular example there are 2 workers w_1, and...
\documentclass[wcp]{jmlr} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{tikz} \usetikzlibrary{arrows} \usetikzlibrary{shapes.misc} \usetikzlibrary{positioning} \usetikzlibrary{decorations.pathreplacing} \tikzset{>=latex} \begin{document} \begin{tikzpicture}[scale=0.9, every node/.style={scale=0.9}]...
https://arxiv.org/abs/1710.02368
arxiv
2017-10-09T02:07:33
Percentile rankings of the quality scores
\documentclass[preprint,12pt,authoryear]{elsarticle} \usepackage{amssymb} \usepackage{tikz} \usepackage{pgfplots} \usepgfplotslibrary{statistics} \usepackage[most]{tcolorbox} \begin{document} \begin{tikzpicture} \begin{axis} [ height=4cm, width=9cm, yticklabels=...
https://arxiv.org/abs/1802.05951
arxiv
2018-02-19T02:07:47
Graph representations of CM's inputs for cycle C3.
\documentclass[letterpaper,10pt]{article} \usepackage[utf8]{inputenc} \usepackage{amsmath, amssymb} \usepackage{color} \usepackage{tikz} \begin{document} \begin{tikzpicture} \node[shape=circle,draw=black] (BG1) at (1,0) {BG1}; \node[shape=circle,draw=black] (BG3) at (0,1) {BG3}; \path [->](BG3) edge ...
https://arxiv.org/abs/1810.09300
arxiv
2018-10-25T02:00:58
Graph representation of CM's inputs for cycle C1.
\documentclass[letterpaper,10pt]{article} \usepackage[utf8]{inputenc} \usepackage{amsmath, amssymb} \usepackage{color} \usepackage{tikz} \begin{document} \begin{tikzpicture} \node[shape=circle,draw=black] (BG1) at (1,0) {BG1}; \node[shape=circle,draw=black,dotted] (BG2) at (2,1) {BG2}; \node[shape=circle,draw=b...
https://arxiv.org/abs/1810.09300
arxiv
2018-10-25T02:00:58
Graph representations of CM's inputs for cycle C4.
\documentclass[letterpaper,10pt]{article} \usepackage[utf8]{inputenc} \usepackage{amsmath, amssymb} \usepackage{color} \usepackage{tikz} \begin{document} \begin{tikzpicture} \node[shape=circle,draw=black] (BG1) at (1,0) {BG1}; \node[shape=circle,draw=black] (BG4) at (2,1) {BG4}; \node[shape=circle,draw=bl...
https://arxiv.org/abs/1810.09300
arxiv
2018-10-25T02:00:58
Graph representation of CM's inputs for cycle C2.
\documentclass[letterpaper,10pt]{article} \usepackage[utf8]{inputenc} \usepackage{amsmath, amssymb} \usepackage{color} \usepackage{tikz} \begin{document} \begin{tikzpicture} \node[shape=circle,draw=black] (BG1) at (1,0) {BG1}; \node[shape=circle,draw=black] (BG2) at (2,1) {BG2}; %,dotted \node[shape=circ...
https://arxiv.org/abs/1810.09300
arxiv
2018-10-25T02:00:58
The bordism W 0,1.
\documentclass[a4paper,12pt]{amsart} \usepackage{amsmath,amssymb,amsthm} \usepackage[T1]{fontenc} \usepackage[utf8]{inputenc} \usepackage{tikz-cd} \usepackage{tikz} \usetikzlibrary{calc,3d} \usepackage{color} \begin{document} \begin{tikzpicture} \coordinate (M0) at (0cm, 0cm); \coordinate (M2) at ($(M0) + (0cm, 2...
https://arxiv.org/abs/1712.03722
arxiv
2017-12-12T02:15:10
Overview of the target prediction-model based trial in which patients are randomized to a prediction-based treatment decision rule versus standard of care.
\documentclass{article} \usepackage[utf8]{inputenc} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz} \usetikzlibrary{calc} \usetikzlibrary{positioning} \usetikzlibrary{arrows} \usepackage[T1]{fontenc} \usepackage[utf8]{inputenc} \usepackage{fontspec} \usepackage{color} \begin{document} \begin{tikzpicture}[...
https://arxiv.org/abs/1909.03801
arxiv
2019-09-10T02:24:22
Performance comparison of the conversion from CAM16 to XYZ (with J, C, and h), implemented in colorio~colorio. The suggested improvements in the inverse model lead to a speed-up of about 5\%.
\documentclass[twocolumn]{scrartcl} \usepackage[utf8]{inputenc} \usepackage{amsmath} \usepackage{pgfplots} \pgfplotsset{compat=newest} \usepackage[T1]{fontenc} \usepackage{amsmath} \begin{document} \begin{tikzpicture} \begin{axis}[ width=\linewidth, xlabel={Number of input samples}, ylabel={Time in seconds}, xmin=0,...
https://arxiv.org/abs/1802.06067
arxiv
2018-02-19T02:10:05
A spatial hierarchy of processes.
\documentclass[fleqn]{elsarticle} \usepackage{amsmath} \usepackage{amssymb} \usepackage[T1]{fontenc} \usepackage[utf8]{inputenc} \usepackage{tikz} \usetikzlibrary{trees,arrows,arrows.meta,shapes,decorations.pathmorphing,backgrounds,positioning,fit,petri} \usepackage{colortbl} \tikzset{% >={Latex[width=2mm,length=2mm]}...
https://arxiv.org/abs/1909.03819
arxiv
2019-09-10T02:24:46
Example. Initial state of the system.
\documentclass[fleqn]{elsarticle} \usepackage{amsmath} \usepackage{amssymb} \usepackage[T1]{fontenc} \usepackage[utf8]{inputenc} \usepackage{tikz} \usetikzlibrary{trees,arrows,arrows.meta,shapes,decorations.pathmorphing,backgrounds,positioning,fit,petri} \usepackage{colortbl} \tikzset{% >={Latex[width=2mm,length=2mm]}...
https://arxiv.org/abs/1909.03819
arxiv
2019-09-10T02:24:46
Comparison of Tweet-Level and User-level accuracy of RNN Model. Best three user-level models (colored in red) and best three tweet-level models (colored in blue) are selected for each language.
\documentclass{article} \usepackage{amsmath} \usepackage{pgfplots} \pgfplotsset{width=0.7\textwidth} \pgfplotsset{compat=1.14} \begin{document} \begin{tikzpicture} \begin{axis}[ title={}, xlabel={Tweet Level Accuracy}, ylabel={User Level Accuracy}, xmin=57, xmax=64, ymin=67, ymax=82, xtick={58...
https://arxiv.org/abs/1908.09919
arxiv
2019-09-09T02:09:05
Dynamic allocation of channels (_1,..,_K) to the users based on their QoS (_1,..,_K).
\documentclass[conference]{IEEEtran} \usepackage{amsmath,amssymb,amsfonts} \usepackage{amssymb} \usepackage{tikz} \usetikzlibrary{shadows.blur} \usetikzlibrary{arrows,positioning} \usetikzlibrary{chains,shapes.multipart} \usetikzlibrary{shapes,calc} \usetikzlibrary{automata,positioning} \usepackage{xcolor} \begin{docu...
https://arxiv.org/abs/1811.02341
arxiv
2018-11-08T02:08:46
Beables associated with the bounded region of spacetime Q are determined by those associated with any temporal cross-section (i.e. spacelike slice) X of region R that fully encloses the past light-cone of Q.
\documentclass[tightenlines,nofootinbib,twocolumn]{revtex4} \usepackage{amssymb} \usepackage{amsmath} \usepackage{hyperref,blkcntrl,moredefs,relsize,attrib,tikz,booktabs,capt-of,float,varwidth,epsdice,graphicx,enumitem} \begin{document} \begin{tikzpicture} %axes \draw[-latex] (0,0) -- (0,5); \node[left] at (0,5) {\fo...
https://arxiv.org/abs/1807.05970
arxiv
2018-07-17T02:16:31
Beables associated with the bounded region of spacetime Q are determined by those associated with any temporal cross-section (i.e. spacelike slice) X of region R that fully encloses the past light-cone of Q. Likewise, they are determined with any spacelike slice X^ that also fully encloses the past light-cone of Q.
\documentclass[tightenlines,nofootinbib,twocolumn]{revtex4} \usepackage{amssymb} \usepackage{amsmath} \usepackage{hyperref,blkcntrl,moredefs,relsize,attrib,tikz,booktabs,capt-of,float,varwidth,epsdice,graphicx,enumitem} \begin{document} \begin{tikzpicture} %axes \draw[-latex] (0,0) -- (0,5); \node[left] at (0,5) {\fo...
https://arxiv.org/abs/1807.05970
arxiv
2018-07-17T02:16:31
Time spent on responding to the consent dialog by treatment. The KW-test shows a significant difference between T1 and T2 (^2(1)=8.89, p<0.005).
\documentclass[sigconf,nonacm]{acmart} \usepackage{tikz} \usetikzlibrary{} \usepackage{xcolor} \usetikzlibrary{arrows.meta} \usepackage{colortbl} \usetikzlibrary{scopes} \usetikzlibrary{positioning} \usetikzlibrary{shapes,snakes} \begin{document} \begin{tikzpicture}[x=1pt,y=1pt] \definecolor{fillColor}{RGB}{255,255,2...
https://arxiv.org/abs/1908.10048
arxiv
2019-08-28T02:08:59
Perceived deception (PDE) by treatment. The t-test shows that PDE is significantly higher in T1 than in the control group (t(96.82)=2.24, p < 0.05, ~Cohen's~d = 0.44 ).
\documentclass[sigconf,nonacm]{acmart} \usepackage{tikz} \usetikzlibrary{} \usepackage{xcolor} \usetikzlibrary{arrows.meta} \usepackage{colortbl} \usetikzlibrary{scopes} \usetikzlibrary{positioning} \usetikzlibrary{shapes,snakes} \begin{document} \begin{tikzpicture}[x=1pt,y=1pt] \definecolor{fillColor}{RGB}{255,255,2...
https://arxiv.org/abs/1908.10048
arxiv
2019-08-28T02:08:59
A capsule network detecting $\left[\textit{wall}\,\right]$, $\left[\textit{roof}\,\right]$ as parts of $\left[\textit{house}\right]$ from an image. Capsules are depicted as hexagons to avoid confusing with neurons.
\documentclass{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amsmath} \usepackage{tikz} \usepackage{xcolor} \usepackage{colortbl} \usetikzlibrary{arrows} \usetikzlibrary{shapes.geometric} \usetikzlibrary{shapes.misc, positioning} \usetikzlibrary{shapes.multipart, shapes.arrows} \tikzset{ tr...
https://arxiv.org/abs/1905.09891
arxiv
2019-05-27T02:02:24
Example scene-graph for an office scene extracted from capsule observation tables, collision data and meta-information.
\documentclass{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amsmath} \usepackage{tikz} \usepackage{xcolor} \usepackage{colortbl} \usetikzlibrary{arrows} \usetikzlibrary{shapes.geometric} \usetikzlibrary{shapes.misc, positioning} \usetikzlibrary{shapes.multipart, shapes.arrows} \tikzset{ tr...
https://arxiv.org/abs/1905.09891
arxiv
2019-05-27T02:02:24
The Beluga Language
\documentclass[oneside, 12pt, letterpaper]{memoir} \usepackage[utf8]{inputenc} \usepackage{amsmath} \usepackage{amssymb} \usepackage[dvipsnames, svgnames]{xcolor} \usepackage{color} \usepackage{colortbl} \usepackage{tikz} \usetikzlibrary{arrows,positioning,patterns, shapes} \usetikzlibrary{calc, arrows,decorations.pa...
https://arxiv.org/abs/1805.07176
arxiv
2018-05-21T02:08:39
A B\"uchi automaton that 3-accepts the graph of d.
\documentclass[oneside]{amsart} \usepackage{amssymb} \usepackage{amsmath} \usepackage{tikz} \usetikzlibrary{arrows,automata,positioning} \begin{document} \begin{tikzpicture}[node distance=2.5cm,on grid,auto, shorten > = 1pt] \node[state,initial,accepting](q0){$q_0$}; \node[state,accepting](q1)[right=of q0]{$q_1$...
https://arxiv.org/abs/1901.03366
arxiv
2019-01-14T02:01:44
A B\"uchi automaton that 3-recognizes the graph of d, the distance function from the middle-thirds Cantor set.
\documentclass[oneside]{amsart} \usepackage{amssymb} \usepackage{amsmath} \usepackage{tikz} \usetikzlibrary{arrows,automata,positioning} \begin{document} \begin{tikzpicture}[node distance=2.5cm,on grid,auto, shorten > = 1pt] \node[state,initial,accepting](q0){$q_0$}; \node[state,accepting](q1)[right=of q0]{$q_1$...
https://arxiv.org/abs/1901.03366
arxiv
2019-01-14T02:01:44
An automaton (4,2,2)-recognizing the Hilbert curve. Here a=(0,0), b=(0,1), c=(1,1), and d=(1,0).
\documentclass[oneside]{amsart} \usepackage{amssymb} \usepackage{amsmath} \usepackage{tikz} \usetikzlibrary{arrows,automata,positioning} \begin{document} \begin{tikzpicture}[shorten >=1pt,node distance=3cm,on grid,auto,line width=1pt] \node[state,initial,accepting,initial where=right,initial distance=2ex] (q_0) ...
https://arxiv.org/abs/1901.03366
arxiv
2019-01-14T02:01:44
Empty independence square
\documentclass{amsart} \usepackage{amsmath,amssymb,amscd,amsthm,latexsym,accents,stmaryrd} \usepackage[latin9]{inputenc} \usepackage{tikz} \usetikzlibrary{decorations.text} \usetikzlibrary{patterns} \usetikzlibrary{automata,positioning} \begin{document} \begin{tikzpicture}[initial text={},on grid] \node[sta...
https://arxiv.org/abs/1801.08451
arxiv
2018-01-26T02:08:46
The shape D of low complexity.
\documentclass{article} \usepackage[utf8]{inputenc} \usepackage{xcolor} \usepackage{tikz} \usepackage{amsmath,amsfonts,amssymb} \begin{document} \begin{tikzpicture} \newcommand*{\opacity}{1} %% Grid \draw [step=1, opacity=0.3] (0,0) grid (4,4); \draw [opacity=0.3] (5,0) -- (5,5) -- (0,5); \foreach \i in {0, 2, ...
https://arxiv.org/abs/1806.07107
arxiv
2018-06-20T02:08:24
Graph G where different latent projections lead to different expressions for P_x(y).
\documentclass[twoside,11pt]{article} \usepackage[T1]{fontenc} \usepackage{amsmath} \usepackage{tikz} \usetikzlibrary{positioning, arrows.meta} \tikzset{% dot/.style n args = {4}{name=#3, circle, draw, inner sep=1pt, minimum size=4pt, fill=black, label={[shift={(#1,#2)}]#4:$#3$}}, lat/.style n args = {4}{name=#3, c...
https://arxiv.org/abs/1806.07085
arxiv
2018-06-20T02:07:56
Sublattices of c and shape D superimposed. The horizontal line is from h and the vertical one from v.
\documentclass{article} \usepackage[utf8]{inputenc} \usepackage{xcolor} \usepackage{tikz} \usepackage{amsmath,amsfonts,amssymb} \begin{document} \begin{tikzpicture} \definecolor{redd}{RGB}{255,59,37} \definecolor{bluee}{RGB}{17,86,178} \newcommand*{\rectopacity}{1} \newcommand*{\nbopacity}{0.8} %% Grid \d...
https://arxiv.org/abs/1806.07107
arxiv
2018-06-20T02:08:24
Query sequence for =1 in the (M=3,N=3,K=2) PIR scheme.
\documentclass[onecolumn]{IEEEtran} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz} \usepackage{color,xcolor} \usetikzlibrary{arrows} \begin{document} \begin{tikzpicture}[scale=1.5] \node at (0,0){\footnotesize\begin{tabular}{|c|c|c|} \hline $\rm{Serv}^{(1)}$ & $\rm{Serv}^{(2)}$ & $\rm{Serv}^{(3)}$\\\hlin...
https://arxiv.org/abs/1712.02466
arxiv
2017-12-11T02:04:09
Query sequence for the =1 in the (M=2,N=5,K=2) PIR scheme.
\documentclass[onecolumn]{IEEEtran} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz} \usepackage{color,xcolor} \usetikzlibrary{arrows} \begin{document} \begin{tikzpicture}[scale=2] \node at (0,0){\footnotesize\begin{tabular}{|c|c|c|c|c|} \hline $\rm{Serv}^{(1)}$ & $\rm{Serv}^{(2)}$ & $\rm{Serv}^{(3)}$&$\r...
https://arxiv.org/abs/1712.02466
arxiv
2017-12-11T02:04:09
The half-monodromy operator is an element of the fundamental groupoid of E_ C^, while the monodromy operator is an element of the fundamental group of X_W = E_ C^ / W.
\documentclass[letter]{amsart} \usepackage{amssymb} \usepackage{tikz} \usepackage{tikz-cd} \usetikzlibrary{shapes} \usetikzlibrary{decorations.markings} \usepackage[T2A,T1]{fontenc} \begin{document} \begin{tikzpicture}[scale=0.6] \draw[gray] (-3,0,-3) -- (3,0,-3) -- (3,0,3) -- (-3,0,3) -- cycle; \draw (-3,0,0) -- (3,...
https://arxiv.org/abs/1706.07847
arxiv
2017-06-27T02:01:09