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2022-09-02 02:02:49
2023-09-26 11:45:36
\small{For a solution in $Q_1$, we prove Hölder continuity \ref{thm:holder} in $Q_{\frac{1}{2}}$. The Intermediate Value Lemma \ref{thm:IVL} relates $Q_{r_0}$ to $Q^-_{r_0}$ in the past. The Weak Harnack inequality \ref{eq:weakH} relates $Q_{\frac{r_0}{2}}$ with $\tilde Q^-_{\frac{r_0}{2}}$ and the Not-so-Strong Harnac...
\documentclass[10pt, oneside]{amsart} \usepackage{amssymb} \usepackage{amsmath} \usepackage{color} \usepackage[usenames,dvipsnames,svgnames,table]{xcolor} \usepackage[utf8]{inputenc} \usepackage[colorlinks=true, pdfstartview=FitV,linkcolor=ForestGreen,citecolor=ForestGreen, urlcolor=black]{hyperref} \usepackage{tikz} ...
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https://arxiv.org/abs/2203.16137
arxiv
2022-12-15T02:08:56
The isotropic irradiation approximation. The starlight incidents on the dayside of the planet isotropically through the area $\pi R_p^2$. Due to atmospheric heat redistribution from dayside to nightside (shown in green arrow), the redistribution parameter is altered. The energy emitted from the dayside of a hot Jupiter...
\documentclass[review]{elsarticle} \usepackage{tikz} \usepackage{amsmath} \usetikzlibrary{arrows} \begin{document} \begin{tikzpicture} \draw (0,0) circle(1.5cm); \fill[black!70] (0,0) circle(1.5cm); \fill[white] (0,0) -- (-90:1.5cm) arc (-90:90:1.5cm) -- cycle; \draw (0,0) -- (1.06,1.06); \draw node at (0.5,0.1) {$R_...
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https://arxiv.org/abs/2210.08755
arxiv
2022-10-18T02:22:35
Bifurcation for $B=0.1$. (Top): The color-coding indicates the position of the Dirac points for given values of $\alpha \in \mathbb R.$ The right figure illustrates the bifurcation at $\Gamma$ and the left figure at a non-equivalent (modulo $\Lambda^*$) bifurcation point that is a vertex of the boundary of the Brilloui...
\documentclass[reqno,12pt,letterpaper]{amsart} \usepackage{amsmath,amssymb,amsthm,graphicx,mathrsfs,url} \usepackage[usenames,dvipsnames]{color} \usepackage[colorlinks=true,linkcolor=Red,citecolor=Green]{hyperref} \usepackage{tikz} \usetikzlibrary{arrows.meta} \begin{document} \begin{tikzpicture} \node at (0,0) {\inc...
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https://arxiv.org/abs/2303.00743
arxiv
2023-03-02T02:23:05
An example of $3$-ary cloning in the symmetric groups. Here we see that $(1~2~3)\varsigma_3^3 = (1~4~2~5~3)$. The arrow getting ``cloned'' is dashed, as are the three arrows resulting from the cloning.
\documentclass[reqno,12pt]{amsart} \usepackage{amsmath,graphicx,amssymb,amsthm} \usepackage{amsmath} \usepackage{amssymb} \usepackage{color} \usepackage{tikz-cd} \begin{document} \begin{tikzpicture}[line width=0.8pt] \draw[->] (0,-2) -- (1,0); \draw[->] (1,-2) -- (2,0); \draw[->,dashed] (2,-2) -- (0,0); \node at ...
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https://arxiv.org/abs/2303.02533
arxiv
2023-03-07T02:13:25
The distribution of the two used datasets across various categories. The first figure is the complete dataset of 5,703 websites, while the second is the currently active 620 websites (new).
\documentclass[10pt,journal,compsoc]{IEEEtran} \usepackage{amsmath,amssymb,amsfonts,chemarrow,balance} \usepackage{xcolor} \usepackage{pgfplots} \usepackage{pgfplotstable} \usepackage{pgfplots} \usetikzlibrary{patterns} \begin{document} \begin{tikzpicture} \begin{axis} [ y...
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https://arxiv.org/abs/2304.13253
arxiv
2023-04-27T02:08:37
Band structure of the continuum model Eq.~\eqref{eq_originalcontinuummodel} plotted along the high-symmetry path of the moir\'e mini-Brillouin zone illustrated in the inset. The bandwidth of the band closest to charge neutrality exactly vanishes when the coupling strength $\alpha = V_1 / |v q_0|$ reaches the value $\al...
\documentclass[amsmath,twocolumn,pra,longbibliography,superscriptaddress]{revtex4-2} \usepackage{amsthm,amssymb,amsfonts,graphicx,verbatim, xcolor,bm,ulem} \usepackage[utf8]{inputenc} \usepackage{colortbl} \usepackage{tikz} \usepackage{pgfplots} \usepgfplotslibrary{groupplots,dateplot} \usetikzlibrary{patterns,shapes.a...
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https://arxiv.org/abs/2305.14423
arxiv
2023-05-25T02:00:59
The principal optimally sets an interim deadline $t=S_{0}^{FI}$ under full information: given that the first stage of the project has not been completed by $S_{0}^{FI}$, it is optimal to stop investing at $S_{0}^{FI}$.
\documentclass[12pt,english]{article} \usepackage[T1]{fontenc} \usepackage[utf8]{inputenc} \usepackage{color} \usepackage{amsmath} \usepackage{amssymb} \usepackage[unicode=true, bookmarks=false, breaklinks=false,pdfborder={0 0 1}, %backref=section, colorlinks=true]{hyperref} \usepackage{xcolor} \usepackage{tikz} \u...
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https://arxiv.org/abs/2210.08294
arxiv
2022-10-18T02:10:13
AVP performance with safety envelope. The dynamics ODE and OCP are accurately solved using the SOCSE approach and scale better with high order (Black: Pseudospectral LGL degree 5, Blue: SOCSE (our))
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https://arxiv.org/abs/2211.14853
arxiv
2022-11-29T02:14:08
Schematic diagram of a telescope with an optical instrument that increases the equivalent focal length, $f_{eq}$, and with the exit pupil closer to the focal plane than the entrance pupil ($d_p<f_{eq}$) so that the non-telecentric angle, $\theta_{out}$, is greater than the entrance radiation angle $\theta_{in}$
\documentclass[a4paper]{spie} \usepackage{amsmath,amsfonts,amssymb} \usepackage[colorlinks=true, allcolors=blue]{hyperref} \usepackage{tikz} \usetikzlibrary{quotes,angles,calc,patterns,shapes.geometric} \begin{document} \begin{tikzpicture}[scale=0.9] \draw[<->, very thick] (0,-3) to (0,3);% \draw (0,0) node[above...
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https://arxiv.org/abs/2211.10150
arxiv
2022-11-21T02:09:52
Penrose diagram of de Sitter space with the value of the (dimensionless) de Sitter invariant distance $Z(x,y)$ depicted, where the point $x$ is located in the lower left corner of the Penrose diagram. Further, $\bar x$ denotes the antipodal point. For instance, $Z(x,y)>1$ if the point $y$ lies in the Northern static pa...
\documentclass[amsmath,amssymb,11pt]{article} \usepackage[utf8]{inputenc} \usepackage{amsmath} \usepackage{amsmath,amsopn} \usepackage{xcolor} \usepackage{tikz} \usetikzlibrary{snakes} \begin{document} \begin{tikzpicture} \draw[thick] (0,0) -- (4,0); \draw[thick] (0,0) -- (0,4) node[pos=.5,above,rotate=90]{North Pol...
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https://arxiv.org/abs/2212.01394
arxiv
2022-12-06T02:00:11
An example for converting a classical problem of calculating the number of rabbits and chicken in a house, to a pure mathematical problem represented as a diagram. The house has rabbits and chickens, with in total 35 heads and 94 feet, then how many rabbits and chickens are there respectively? After abstraction, only r...
\documentclass[11pt]{article} \usepackage{amsmath} \usepackage{tikz} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amssymb} \usepackage{amsmath} \begin{document} \begin{tikzpicture}[x=0.75pt,y=0.75pt,yscale=-1,xscale=1] \draw (91.38,240.05) node {\includegraphics[width=38.58pt,height=38.58pt]{e...
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https://arxiv.org/abs/2303.04571
arxiv
2023-05-04T02:15:28
An illustration of $f_F$. The vertical line segment $Q_0Q_3=\{\bx\}\times[0,b]$ intersects $S_i$ at $Q_i$, $i=0,\ldots,3$. The last coordinate of $f_F(Q_i)$ is $\varphi(Q_i)$. This figure is drawn with $r=3$.
\documentclass[12pt,a4paper,reqno, UTF-8]{amsart} \usepackage{amscd,amssymb,amsfonts,amsbsy,amsmath,verbatim,color,amsaddr,mathrsfs} \usepackage{tikz,ifthen,bm} \usetikzlibrary{intersections} \usetikzlibrary{calc} \begin{document} \begin{tikzpicture}[scale=1.75,declare function={f(\t)=-2*(\t-1)+1;}] \pgfmaths...
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https://arxiv.org/abs/2209.03008
arxiv
2022-09-08T02:11:08
Illustration of {\dcpriorityopt}. An optimal parity condition consistent with $(\F_0',\F_1')$ can redefine the priority of $q_0$ to $2$ and thus use one priority less.
\documentclass{article} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz} \usetikzlibrary{automata, positioning, arrows} \begin{document} \begin{tikzpicture}[node distance=3cm,thick,scale=0.7, every node/.style={scale=0.7}] \node(q0)[state with output, initial,initial text={}] at (0,0) {$q_0$ \nodepar...
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https://arxiv.org/abs/2211.08787
arxiv
2022-11-17T02:10:56
Illustration of the substellar longitude, $\gamma$, and its relation to other angles and lines. Line IF is an inertial line and line PS is the line connecting the center of the star and the planet. The ellipse surrounding point P represents the planet's geometry as a triaxial ellipsoid. This figure is a recreation of F...
\documentclass[fleqn,usenatbib]{mnras} \usepackage[T1]{fontenc} \usepackage{amsmath} \usepackage{xcolor} \usepackage{tikz} \usepackage{amsmath} \begin{document} \begin{tikzpicture} \usetikzlibrary{calc} \newcommand{\tikzAngleOfLine}{\tikz@AngleOfLine} \def\tikz@AngleOfLine(#1)(#2)#3{% \pgfmathang...
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https://arxiv.org/abs/2303.14546
arxiv
2023-03-28T02:14:12
Percentage improvement in mean squared error of MAICc with $c=\bar{c}$ over AICc when $n=30$ and $p=10$.
\documentclass[11pt, a4paper]{article} \usepackage{bm, amsmath, amsthm, amssymb, accents, comment} \usepackage{tikz} \usepackage{pgfplots} \pgfplotsset{ compat=newest, cycle list name=exotic } \begin{document} \begin{tikzpicture} \begin{axis}[ title={}, xlabel={$\| \beta \|$}, xmin=0, xmax=5, ylabel...
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https://arxiv.org/abs/2211.09326
arxiv
2022-11-18T02:05:58
Structure of the used DNN. The number of nodes in the first and last layer are equal to the number of heat exchanges and estimated states in each test case. The hidden layers have 100, 250 and 250 Nodes in both cases.
\documentclass[5p,12pt]{elsarticle} \usepackage{color} \usepackage[cmex10]{amsmath} \usepackage{amssymb} \usepackage{tikz} \begin{document} \begin{tikzpicture} % input layer: \node at (0,7) [circle,draw] (01){$q_1$}; \node at (0,6) [circle,draw] (02){$q_2$}; \node at (0,4) [circle,draw] (03){$q_n$}; % first layer \no...
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https://arxiv.org/abs/2305.15445
arxiv
2023-05-26T02:00:25
\captionFigTraj{counter flow}{$\lambda=0.1$ s$^{-1}$ (low pedestrian reactivity)}{1}{No lane formation emerges when the pedestrians are not sufficiently reactive, yielding in gridlocks in the dynamics. The Hamiltonian presents large fluctuations and remains lower than $H^\ast$.}
\documentclass{article} \usepackage{amsmath} \usepackage{paralist,tikz} \usepackage[T1]{fontenc} \usepackage[colorlinks=true]{hyperref} \begin{document} \begin{tikzpicture}[x=.9pt,y=.9pt] \definecolor{fillColor}{RGB}{255,255,255} \path[use as bounding box,fill=fillColor,fill opacity=0.00] (0,0) rectangle (123.54,154....
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https://arxiv.org/abs/2211.06503
arxiv
2022-12-13T02:01:36
Let $S_j$ denote the set of optimal first messages Alice could send in $\mathrm{Task}_j$. Then if two sets are disjoint, Alice would have to hedge her cheating attempts if Bob switches between those two tasks (e.g., $\mathrm{Task}_1$ and $\mathrm{Task}_2$). If the two sets have a nonempty intersection, Alice would have...
\documentclass[11pt]{article} \usepackage{amssymb} \usepackage{amsmath} \usepackage[usenames]{color} \usepackage{tikz} \usepackage{color,graphicx} \begin{document} \begin{tikzpicture}[x=0.75pt,y=0.75pt,yscale=-1,xscale=1] \draw (223,166.25) .. controls (223,143.47) and (248.74,125) .. (280.5,125) .. contro...
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https://arxiv.org/abs/2304.13200
arxiv
2023-04-27T02:06:22
Left: A stochastic context-free grammar (SCFG) and the associated positive polynomial system (PPS) which encodes the termination probabilities of each non-terminal, assuming production rules are taken uniformly at random. Right: The curves defined by the two equations. The least fixpoint (lfp) is $\approx (0.66,0.70)$....
\documentclass[runningheads]{llncs} \usepackage[T1]{fontenc} \usepackage[table]{xcolor} \usepackage[utf8]{inputenc} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz} \usetikzlibrary{automata,positioning,calc} \usetikzlibrary{decorations.pathreplacing} \usepackage{pgfplots} \pgfplotsset{compat=1.15} \usetikzli...
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https://arxiv.org/abs/2301.08657
arxiv
2023-01-23T02:13:40
Inclusion diagram for graph classes discussed here (and related ones). If a class $A$ has an upward path to class $B$, then $A$ is included in $B$. For graphs in the gray classes, the complexity of \textsc{Isometric Path Cover}\xspace is open; for all other graph classes, it is NP-complete. For all shown graph classes,...
\documentclass[a4paper]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amsmath,amsthm,amssymb,amsfonts} \usepackage{tikz} \usetikzlibrary{snakes} \usetikzlibrary{positioning, fadings, backgrounds} \usepackage[textsize=footnotesize,color=green!40]{todonotes} \usetikzlibrary{decorations.pathmor...
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https://arxiv.org/abs/2301.00278
arxiv
2023-01-18T02:20:27
The dual graph for genus one degeneration, which is classified by Kodaira, see \cite{barth2015compact}. The data $(n_i,k_i, C_{ij})$ are read from the dual graph as follows: the number $n_i$ is listed for each component $C_i$ in the graph (if $n_i=1$, the number is omitted); $C_{ij}$ is read from the intersection numbe...
\documentclass[a4paper,11pt]{article} \usepackage{tikz-cd} \usepackage{tikz} \begin{document} \begin{tikzpicture}[x=0.45pt,y=0.45pt,yscale=-1,xscale=1] \draw (102,101.72) -- (189,101.45) ; \draw (110,96.72) .. controls (110,93.96) and (112.3,91.72) .. (115.14,91.72) .. controls (117.98,91.72) and (120.28,93.96)...
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https://arxiv.org/abs/2212.02472
arxiv
2022-12-06T02:31:26
Illustration of the strip $K_\Gamma^{(\hat{x})}$ (blue area) with $\hat{x} = (1, 0)$. Here the curve $a(t)=2\sqrt{2}(\cos t, -\sin t),\, t\in[\pi/4,3\pi/4]$ denotes the orbit (the red arc) of a point source moving from right to left. There holds $\inf(\hat{x}\cdot\, \Gamma) = -2, \,\sup(\hat{x}\cdot\, \Gamma) = 2,\,\xi...
\documentclass[11pt]{article} \usepackage[T1]{fontenc} \usepackage{latexsym,amssymb,amsmath,amsfonts,amsthm} \usepackage{color} \usepackage{tikz} \begin{document} \begin{tikzpicture} % grating \draw[line width=0.8584cm,color=blue!20] (0,-3) -- (0,4); \draw (-0.5,3.5) node [right] {$K_{\Gamma}^{(\hat{x})}$}; \...
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https://arxiv.org/abs/2212.14236
arxiv
2023-01-02T02:05:51
A virtual mesh displacement between $t^{p-1} = (p-1) \Delta t$ and $t^p = p \Delta t$.
\documentclass{article} \usepackage[T1]{fontenc} \usepackage[utf8]{inputenc} \usepackage{amsmath} \usepackage{tikz} \usetikzlibrary{math} \usetikzlibrary{decorations.pathreplacing} \usepackage{amssymb,amsfonts,amsthm} \usepackage{xcolor} \begin{document} \begin{tikzpicture}[scale=1] \tikzmath{\xl=0; \xr = 12; \y=-4; ...
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https://arxiv.org/abs/2303.15817
arxiv
2023-05-31T02:17:45
Illustration for the proof of Lemma \ref{lem:case1} case a-ii), where the blue dashed triangle is $I_t' = \text{convex hull}(a_t, {\hat a}_{t}, x_t^\star) \subseteq \chi_t$.
\documentclass[journal,onecolumn]{IEEEtran} \usepackage{amssymb} \usepackage{amsmath} \usepackage{color} \usepackage{tikz} \usepackage{amsmath} \usetikzlibrary{calc} \usepackage{amssymb} \begin{document} \begin{tikzpicture}[ mycirc/.style={circle,fill=black,minimum size=0.005cm,scale=0.4} ] \draw[rotate aroun...
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https://arxiv.org/abs/2301.09808
arxiv
2023-01-25T02:06:51
$V(\mathcal{F})$ and $V(\mathcal{G})$ in a neighborhood of $L\in \mathcal{LS}_2(\mathcal{F}, \mathcal{G})$.
\documentclass{amsart} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz} \usetikzlibrary{decorations,decorations.pathmorphing} \usetikzlibrary{patterns} \begin{document} \begin{tikzpicture} \coordinate [label=left:$P_-$] (A1) at (0.4,0.4); \coordinate [label=left:$P_+$] (A2) at (0.4,1.6); \coordinate [label...
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https://arxiv.org/abs/2210.09696
arxiv
2022-10-19T02:11:34
The bipartite Cayley graph, $BC(g)$, of the function $g(z) = (-1)^{z_1 + z_2}$ for $z_1,z_2\in \mathbb{F}_2$. $g$ encodes the XOR function on $2$ bits.
\documentclass{article} \usepackage{amsmath,amsfonts,amsthm,amssymb,commath,mathtools} \usepackage{tikz} \usetikzlibrary{calc,angles,quotes,shapes.misc} \tikzset{cross/.style={cross out, draw, minimum size=2*(#1-\pgflinewidth), inner sep=0pt, outer sep=0pt}} \begin{document} \begin{tikzpicture} %left verts ...
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https://arxiv.org/abs/2209.03573
arxiv
2022-09-09T02:07:19
Typical common tangent connection for the free energy densities for the interior $f^{\rm in}(\psi)$ (left) and exterior $f^{\rm out}(\psi)$ (right) \eqref{f_inout} phases. The vesicle will grow or shrink according to the initial (spatially uniform) states for $\psi$ inside and outside the vesicle. Suppose that $\psi^{\...
\documentclass[10pt]{article} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \usepackage{color} \usetikzlibrary{patterns} \begin{document} \begin{tikzpicture}[>=latex,scale=2.5] \draw[thick,->] (-0.5,0.0) -- (4.5,0.0) node[right] {$\psi$}; \draw[thick,->] (0,-0.5) -- (0,3.0) node[above] {}; \dra...
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https://arxiv.org/abs/2209.13690
arxiv
2022-09-29T02:03:13
An example of a human contact multiplex network plus two different resources. The subgraph of virus $k$ in the human contact multiplex network together with resorces forms the graph $\mathcal{G(B^{\text{k}}_{\text{f}})}$, which is assumed to be strongly connected. The way that resources interact with different layers o...
\documentclass{article} \usepackage{tikz} \usepackage{tikz-network} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz} \usetikzlibrary{matrix,arrows,decorations.pathmorphing} \usetikzlibrary{arrows} \usepackage{xcolor} \usepackage{inputenc} \usepackage[T1]{fontenc} \begin{document} \begin{tikzpicture} \n...
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https://arxiv.org/abs/2206.07425
arxiv
2022-11-15T02:24:37
Remote event-based state estimation with a closed-loop trigger. The event trigger depends on information from the observer, which must be transferred back from the observer to the sensor.
\documentclass[journal]{IEEEtran} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz} \usepackage{pgfplots} \usepackage{pgfplotstable} \usepgfplotslibrary{groupplots} \usepgfplotslibrary{fillbetween} \pgfplotsset{ compat=1.8, scale only axis, every tick label/.append style={font=\footnotesize}, ...
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https://arxiv.org/abs/2209.14081
arxiv
2022-09-29T02:15:52
On the left $|\tilde\mathfrak{p}|=|\mathfrak{p}|+1$, on the right $|\tilde\mathfrak{p}|=|\mathfrak{p}|$.
\documentclass[reqno,12pt]{amsart} \usepackage{amsmath} \usepackage{amssymb} \usepackage[T1]{fontenc} \usepackage[dvipsnames,svgnames]{xcolor} \usepackage{tikz} \usetikzlibrary{calc,patterns} \newcommand{\x}{\boldsymbol{x}} \begin{document} \begin{tikzpicture} \draw(1,2)--(3,3)--(3,2); \draw(3,3)--(5,2); \draw(0.5,1...
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https://arxiv.org/abs/2209.01037
arxiv
2022-09-05T02:16:35
The elbows of $\pi^{(1)}, \pi^{(2)}$, and $\pi^{(3)}$.
\documentclass[12pt]{article} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \usepackage[utf8]{inputenc} \usepackage{tikz} \usetikzlibrary{arrows} \begin{document} \begin{tikzpicture} \begin{scope}[scale=0.7, xshift = -10cm] \draw (0,0) grid (8,8); \draw[ultra thick, color=blue] (0,0) -- (0,1); \draw[ul...
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https://arxiv.org/abs/2212.01234
arxiv
2022-12-05T02:14:12
Support Hasse diagram for Figure \ref{Fig: strand diagram for Fig 1}. Left children (those which come before their parents in the exceptional sequence) are red. These are relatively projective but not relatively injective. The rest: the roots, $R,C,Cc$, and the right children (which come after their parents), are relat...
\documentclass[12pt]{article} \usepackage{amssymb} \usepackage{amsmath,bm} \usepackage{color} \usepackage{xcolor} \usepackage{tikz} \usepackage[utf8]{inputenc} \usepackage{mathtools, amsthm, amssymb, eucal} \begin{document} \begin{tikzpicture}% \clip (0,-2.4) rectangle (12,2.4); \coordinate (R) at (3.5,2); \coordinat...
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https://arxiv.org/abs/2209.12326
arxiv
2022-09-27T02:21:14
Schematics of Markov chain corresponding to the global state $\boldsymbol{s}_{t}$. In this figure we have $P_{\boldsymbol{t},\boldsymbol{t+1}}=\Pr\big(\boldsymbol{s}_{t+1}|\boldsymbol{s}_{t},\boldsymbol{\alpha}_{t}\big)$.
\documentclass[Journal]{IEEEtran} \usepackage{graphicx, tikz, cite} \usepackage{amsmath} \usepackage{amssymb} \usepackage{color} \usepackage{graphicx, psfrag, minibox, mathrsfs, bigints, stfloats, color, upgreek, gensymb, textcomp, euscript, calligra, xcolor, pict2e} \usepackage{tikz} \usetikzlibrary{shapes,arrows} \us...
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https://arxiv.org/abs/2210.04953
arxiv
2022-10-12T02:01:25
Confluence scheme for Painlev\'e equations. Each triangle at this diagram corresponds to the Takiff algebra Darboux coordinates which were introduced in Fig. \ref{fig1:PQ}.
\documentclass[a4paper,reqno]{amsart} \usepackage[dvipsnames]{xcolor} \usepackage{amsfonts,amssymb} \usepackage{amsmath} \usepackage{xcolor} \usepackage{tikz} \usetikzlibrary{matrix} \usetikzlibrary{cd} \begin{document} \begin{tikzpicture} %PVI \draw[line width=0.3mm] (-13.5,0) circle (1mm) (-13,0) circl...
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https://arxiv.org/abs/2106.13760
arxiv
2022-12-13T02:23:51
The limiting Floer cylinder is asymptotic to the Hamiltonian orbit $\gamma$ at its left end. The right end traces out a loop in $M$ which passes through $\iota(0)$.
\documentclass[12pt]{amsart} \usepackage{amsmath} \usepackage{tikz,float,caption} \begin{document} \begin{tikzpicture} \draw (0,0) circle (2); \draw[dashed] (2,0) arc (0:180:2 and 0.5); \draw (-2,0) arc (180:360:2 and 0.5); \draw[blue] (0.6,0) circle (0.6 and 0.3) (0.8,2.3) circle (0.6 and 0.3...
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https://arxiv.org/abs/2305.11783
arxiv
2023-05-22T02:18:02
The complete A.i.A.Co.\framework. In 1, a document containing the defence deeds is preprocessed, producing a text (2) that is then passed to a NLP model (3). In 4, the NLP model outputs the relevant features, that are then passed (5) to the predictive model, that outputs (6) the decision that is then proposed to the Ju...
\documentclass[a4paper]{article} \usepackage{amsfonts,amssymb,amsmath} \usepackage{xcolor} \usepackage{tikz} \usetikzlibrary{matrix,shapes,arrows,fit,positioning,calc,backgrounds} \begin{document} \begin{tikzpicture} \node {\includegraphics[scale=0.3]{example-image}}; \draw [fill=gray, opacity=0.3, rounded corners] (...
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https://arxiv.org/abs/2210.09515
arxiv
2022-10-19T02:06:04
This picture shows a side by side comparison between the PODI and PA-POD. In PODI we interpolate accurate but scarce data, while with PA-POD we evaluate dense real time approximated data.
\documentclass[a4paper]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{tikz} \usepackage{amsmath} \usepackage{xcolor} \tikzset{every picture/.style={line width=0.75pt}} \begin{document} \begin{tikzpicture}[x=0.75pt,y=0.75pt,yscale=-1,xscale=1] % Text Node \draw (300,50) node [anchor=nort...
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https://arxiv.org/abs/2303.04675
arxiv
2023-03-09T02:16:17
The regions of the plane %intervals $(T_n,T_{n+1})\times[0,q^{<}(U_{T_n}^{\beta,u})]$ and $(T_n,T_{n+1})\times[\lambda,\lambda+q^{>}(U_{T_n}^{\beta,u})]$, for $n=0,1,2,\ldots$.
\documentclass[a4paper]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz} \usetikzlibrary{arrows.meta} \tikzset{ circ/.style={draw, circle,inner sep=0pt,minimum size=8mm, font=\scriptsize}, triangle/.tip={Computer Modern Rightarrow[open,ang...
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https://arxiv.org/abs/2202.12871
arxiv
2022-11-01T01:10:02
$v_5v_7v_9v_6v_8v_{10}v_5$ is a copy of $C_6$.
\documentclass[11pt,a4paper]{article} \usepackage{epsf,epsfig,amsfonts,amsgen,amsmath,amstext,amsbsy,amsopn,amsthm,cases,listings,color %,lineno } \usepackage{color} \usepackage{pgf,tikz} \usepackage{amssymb} \usepackage{pgfplots} \usetikzlibrary{arrows} \begin{document} \begin{tikzpicture}[x=0.75pt,y=0.75pt,yscale=-...
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https://arxiv.org/abs/2209.12103
arxiv
2022-09-27T02:13:04
The fluid is subject to periodic boundary conditions at the (dash-dotted) side walls, homogeneous Dirichlet/Neumann conditions at the upper boundary $y=L_y$, and the no-slip condition at the wall $y=0$. In addition to the constant pressure gradient assumed to be present in the near-wall layer, the model includes a time...
\documentclass{article} \usepackage[dvipsnames]{xcolor} \usepackage{color} \usepackage{amsmath} \usepackage{pgfplots} \pgfplotsset{compat=1.10} \usepgfplotslibrary{fillbetween} \usetikzlibrary{patterns} \begin{document} \begin{tikzpicture}[xscale=5.4,yscale=5.4] \draw[dashdotted](0,0) -- (0,0.4); \draw (0,0.4) -- (.6...
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https://arxiv.org/abs/2210.06813
arxiv
2022-10-14T02:11:18
A simplified model to estimate the penumbra size at a given pixel. We assume our occluder is spherical in shape, forming a convex bounding-sphere around the occlusion geometry as shown in figure (a) on the left. Figure (b) shows a simplified diagram to estimate the parameters $\theta, \theta_\delta$.
\documentclass[sigconf]{acmart} \usepackage{amsmath} \usepackage{tikz} \begin{document} \begin{tikzpicture} \node[anchor=south west,inner sep=0] at (0,0){ \includegraphics[width=11.5cm, trim={0cm 0.5cm 0 0cm},clip]{example-image}}; %% Left \node[anchor=south west] at (0.75, 5.95) { \textcolor{black}{\...
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https://arxiv.org/abs/2301.05262
arxiv
2023-01-16T02:00:29
(a) Three consecutive intervals on an infinite system with the corresponding cross ratio $\eta$. (b) Three consecutive intervals on a circle with circumference $L$. Here, $x_{ij} \coloneqq x_j - x_i$ denotes the distance between $x_i$ and $x_j$.
\documentclass[aps,english,prl,floatfix,amsmath,superscriptaddress,tightenlines,twocolumn,nofootinbib]{revtex4-2} \usepackage{amssymb,amsthm,tikz,mathtools} \usetikzlibrary{decorations.markings,decorations.pathmorphing} \usepackage[utf8]{inputenc} \usepackage{xcolor} \begin{document} \begin{tikzpicture}[scale=0.5] ...
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https://arxiv.org/abs/2303.05444
arxiv
2023-03-10T02:20:46
The example shows the TikZ native plotting, without pgfplots, and a Bezier curve. The Warsaw circle is a compact subset of the plane produced by “closing up” a topologist’s sine curve with an arc: Wikipedia.
\documentclass[tikz,border=10pt]{standalone} \begin{document} \begin{tikzpicture} \draw plot[domain=0.01:1, samples=5000] (\x,{sin(1/\x r)}); \draw (0,1) -- (0,-1); \draw (1,{sin(1 r)}) .. controls (4,{sin(1/4 r)-1.2}) and (0,-3) .. (0,-1); \end{tikzpicture} \end{document}
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https://tikz.net/warsaw-circle/
tikz.net
2023-07-01T19:31:40
\textcolor{black}{Listing the different areas $A_1, \ldots, A_{18}$ into which the plane is divided in case 1.}
\documentclass{article} \usepackage{color} \usepackage{amsmath} \usepackage{tikz} \usetikzlibrary{arrows} \usetikzlibrary{calc} \usepackage{pgfplots} \pgfplotsset{compat=1.17} \begin{document} \begin{tikzpicture}[scale = 0.75] \begin{axis} [ xmin=0, xmax=10, ymin=0, ymax=12, nodes near coords, ...
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https://arxiv.org/abs/2202.03185
arxiv
2022-12-09T02:16:17
Lemma~\ref{lem:extremecase} for $a=5$, $b=4$, $c=2$, $h=4$. A gray cube represents a forced 1 in the contingency array. Absence of color represents a forced 0 in the contingency array. The blue box shows the area where both zeros and ones are possible.
\documentclass[11pt,a4paper]{article} \usepackage{amsmath,amssymb,amsthm,bbm,color,url} \usepackage{tikz} \usetikzlibrary{matrix,calc,backgrounds,arrows,shapes,patterns,arrows.meta} \tikzset{coordinateIIID/.style={x={(240:0.8cm)}, y={(-10:1cm)}, z={(0,1cm)}, scale=0.54}} \newcommand{\grid}{ \node at (1,7.75,1) {\foot...
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https://arxiv.org/abs/2305.03003
arxiv
2023-05-05T02:20:54
Representation of the procedure to obtain solutions to the Yang-Baxter equations described in \ref{ybexample}. Solutions are outlined with thick boundaries. S stands for solution.
\documentclass{article} \usepackage{xcolor} \usepackage{tikz} \begin{document} \begin{tikzpicture}[style = {draw,->,thick}] \node [draw]{(2,1) in block 112, (1,2) in block 122}[sibling distance = 8.5cm,level distance = 2.5cm] child {node [draw]{(2,1) in block 122}[sibling distance = 2.5cm] chi...
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https://arxiv.org/abs/2212.11646
arxiv
2022-12-23T02:11:06
The cyclic interval partition $\{1,2,15/3,4,5,6,7/8/9/10/11/12/13/14\}$ has separating set $\{2',7',10',11',14'\}$
\documentclass[12pt]{amsart} \usepackage{amsthm,amsmath,amssymb,enumerate,color, tikz} \usetikzlibrary{shapes.geometric} \usepackage[colorlinks,anchorcolor=black,citecolor=black,linkcolor=black]{hyperref} \usepackage{tikz} \begin{document} \begin{tikzpicture}[scale=0.7] \coordinate (C) at (0,0); \def\N{15}; \def\rad...
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https://arxiv.org/abs/2204.00072
arxiv
2022-09-09T02:16:10
Example of the construction of the event $A_{St}$ for $q=0.7$ and $K=4$. The path containing the origin has level $-1$. If a point $(n,m)$ is in $C_{-1}$ or $C_1$, then we have $H(n+\frac{1}{2},m+\frac{1}{2})>1$ or $H(n+\frac{1}{2},m+\frac{1}{2})<-1$. The only face with height $-1$ on the $x$-axis of $\mathbb Z^2+(\fra...
\documentclass{article} \usepackage{amsmath} \usepackage{amssymb} \usepackage[dvipsnames]{xcolor} \usepackage{tikz} \usetikzlibrary{shapes,arrows,automata,matrix,fit} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \begin{document} \begin{tikzpicture}[scale=0.5] \fill[gray!20] (-4,2) -- (-3,2) -- (-3,3)...
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https://arxiv.org/abs/2212.04399
arxiv
2022-12-09T02:16:49
A synchronous (transient) generator model~$G$ that we approximate with a data-driven DeepONet. We trained the DeepONet using data collected from the two-area, four-generator system of the Power System Toolbox~(PST).
\documentclass[11pt]{article} \usepackage{amscd,amssymb,stmaryrd} \usepackage{amsmath} \usepackage[utf8]{inputenc} \usepackage{amsmath} \usepackage{color} \usepackage{tikz} \begin{document} \begin{tikzpicture}[x=0.75pt,y=0.75pt,yscale=-1,xscale=1] \draw [color={rgb, 255:red, 0; green, 0; blue, 0 } ,draw opacity=1 ...
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https://arxiv.org/abs/2301.12538
arxiv
2023-01-31T02:18:35
A part of ${\overline{\mathrm{Q}}}{}_m^n$ used in the proof of Theorem \ref{thm:maintheorem} where for simplicity the pairs of opposite arrows are drawn by an unoriented edge and only the label of the ascending arrow is given
\documentclass[leqno,10pt,oneside]{amsart} \usepackage[utf8]{inputenc} \usepackage{amsmath,amssymb,amsthm,mathtools,stmaryrd,appendix} \usepackage[colorlinks,pagebackref]{hyperref} \usepackage{tikz} \usetikzlibrary{matrix,arrows.meta,decorations.markings,decorations.pathmorphing,shapes,positioning} \tikzset{>=stealth} ...
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https://arxiv.org/abs/2211.03354
arxiv
2022-11-08T02:20:23
Root diagram of $\mathfrak{su}(3)$ where the positive roots are given by $\alpha = (1,0)$, $\beta=\left(-\frac{1}{2}, \frac{\sqrt{3}}{2} \right)$ and $\alpha+\beta=\left(\frac{1}{2}, \frac{\sqrt{3}}{2} \right)$. The simple roots are given by $\alpha$ and $\beta$. The blue shaded area is the positive Weyl chamber.
\documentclass[12pt,reqno]{amsart} \usepackage{xcolor,hyperref,tikz-cd,cancel} \usepackage{xcolor} \usepackage{amsmath,enumerate,breqn} \usepackage[framemethod=tikz]{mdframed} \usepackage{amssymb} \usepackage{tikz} \usetikzlibrary{matrix,arrows.meta} \begin{document} \begin{tikzpicture}[x=0.75pt,y=0.75pt,yscale=-1,xs...
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https://arxiv.org/abs/2211.13558
arxiv
2022-11-28T02:11:34
Left:The toric diagram for a 3d canonical singularity. M theory on it gives rise to a 5d $\mathcal{N}=1$ SCFT without any flavor symmetry; Right: The Coulomb branch geometry for the 5d KK theory defined using the toric diagram on the left. There are a total of five $I_1$ singularities at the bulk.
\documentclass[a4paper,11pt]{article} \usepackage{tikz-cd} \usepackage{tikz} \begin{document} \begin{tikzpicture}[x=0.55pt,y=0.55pt,yscale=-1,xscale=1] \draw (23,192) -- (221,192)(83,79.78) -- (83,228) (214,187) -- (221,192) -- (214,197) (78,86.78) -- (83,79.78) -- (88,86.78) ; \draw (83,151) -- (106,191.22) ; ...
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https://arxiv.org/abs/2212.02472
arxiv
2022-12-06T02:31:26
CDF of the $\text{PEB}_1$ for both UEs at different locations inside a $\unit[7\times 7]{m^2}$ area. RIS (L) indicates RISs are located in an L-shape, as shown in Fig.~\ref{fig_multiple_RISs} (a), and RIS (P) indicates RISs are located in parallel, as shown in Fig.~\ref{fig_multiple_RISs} (b).
\documentclass[journal]{IEEEtran} \usepackage{bm,comment,color} \usepackage{amsmath} \usepackage{amssymb} \usepackage{color} \usepackage{pgfplots} \usepackage{tikz} \usetikzlibrary{calc} \usetikzlibrary{spy,backgrounds} \pgfplotsset{compat=newest} \usetikzlibrary{plotmarks} \usetikzlibrary{arrows.meta} \usepgfplotslibr...
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https://arxiv.org/abs/2302.12459
arxiv
2023-02-27T02:07:16
Schematic representation of the long-multiplet $\mathcal{L}_r$, see \cite{Kos:2018glc} for more details. The arrows going to the left (right) represent the action of $G^a_{-\frac{1}{2}}$ $\left(\bar{G}^b_{-\frac{1}{2}}\right)$. In the figure only the $SU(2)$ indices are shown. Operators in the same line have the same c...
\documentclass[a4paper]{article} \usepackage{amssymb,amsmath,xypic} \usepackage{graphicx,color,xcolor,subfigure} \usepackage{tikz} \begin{document} \begin{tikzpicture}[scale=0.8] \draw[-stealth](0.1,0) -- (-2/3+0.1,2/3); %seta1 \draw[stealth-](-0.1,0) -- (-2/3-0.1,2/3); %seta1,2 \draw[stealth-](-4/3+0.1,...
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https://arxiv.org/abs/2211.02702
arxiv
2022-11-08T02:01:14
Scaled PBC vectors $t\v{p}$, $s\v{p}_1$ and $r\v{p}_2$ obtained from a parameter search are shown. In order to find potentially better $s$ and $r$ scaling coefficients, a rotation is done around the vector $\v{p}$ by angle $\Delta \alpha$ of $\v{p}_1$ and $\v{p}_2$ to $\v{p}_1'$ and $\v{p}_2'$.
\documentclass{article} \usepackage{tikz,amssymb} \usepackage{amsmath} \usetikzlibrary{decorations.markings,angles,quotes} \begin{document} \begin{tikzpicture} \draw[<->] (0,0,-2)--(0,0,2) node[above]{$x$}; \draw[<->] (-1.5,0,0)--(3,0,0) node[right]{$y$}; \draw[<->] (0...
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https://arxiv.org/abs/2210.01358
arxiv
2022-10-12T02:07:43
\textbf{Demand Mapping.} This figure shows how demand, for statistical arbitrageurs, is a function of prices and predictors. The price of stock $i$ in month $t$ is $p_{i,t}$. In this example, the three predictors used are: (1) the book-to-market ratio, (2) the earnings-to-market ratio, and (3) the profitability ratio. ...
\documentclass[12pt,english]{article} \usepackage[T1]{fontenc} \usepackage{amsmath,enumerate} \usepackage{amssymb} \usepackage[usenames, dvipsnames]{color} \usepackage{tikz} \usetikzlibrary{positioning} \usepackage{tikz} \usetikzlibrary{positioning} \usetikzlibrary{decorations.pathreplacing} \usetikzlibrary{calligraphy...
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https://arxiv.org/abs/2303.14533
arxiv
2023-03-28T02:13:46
Simulated boresight hit maps for one-month (left) and one-year (right) observations. The two panels share the same logarithmic color map, although the range shown is truncated for the one-month case. Unobserved pixels appear gray.
\documentclass[a4paper,11pt]{article} \usepackage[T1]{fontenc} \usepackage{tikz} \usepackage{tikz-3dplot} \usepackage{colortbl} \begin{document} \begin{tikzpicture} \node at (0,-2.3) {\includegraphics[width=.475\textwidth]{example-image}}; \node at (0,0) {\textcolor{white}{y}one-month simulation\textcolor{whi...
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https://arxiv.org/abs/2211.05685
arxiv
2022-11-11T02:16:06
%Example of a embeddable word, with an embedding. Example~\ref{ex.1}. The edges are labelled with red. The edges with no label have the label $\emptyset$. The binomial numbers correspond to the number of extensions given by their root-to-leaf path, and the $k$ indicates the size of the extended edges. The path root-to-...
\documentclass[]{article} \usepackage[utf8]{inputenc} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz} \usetikzlibrary{calc,positioning,fit} \usetikzlibrary{arrows,decorations.markings} \begin{document} \begin{tikzpicture}[scale=0.64,decoration={ markings, mark=at position 0.5 with {\arrow{>}}}]%...
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https://arxiv.org/abs/2305.10152
arxiv
2023-05-18T02:16:31
An integrated toolchain incorporating FreeCAD (parametric CAD modeling software) and OpenFOAM (CFD simulation software) in a Python environment (controlling the process flow and running optimizers and samplers) for CAD design generation, drag evaluation, and optimization in our workflow.
\documentclass[preprint]{elsarticle} \usepackage{amsmath,amssymb,amsfonts} \usepackage{amsmath,esint} \usepackage{xcolor} \usepackage{colortbl} \usepackage{pgf} \usepackage{pgfplots} \usetikzlibrary{shapes,arrows} \usetikzlibrary{arrows.meta} \usetikzlibrary{decorations.pathreplacing} \usetikzlibrary{shapes.geometric} ...
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https://arxiv.org/abs/2304.12420
arxiv
2023-04-26T02:02:34
$K_2\square P_3$ with four pairwise strongly cospectral vertices with respect to $\textbf{A}$ whenever $\beta\neq \pm 8\gamma$ marked blue (left) and $K_2\times K_3$ with pairs of strongly cospectral vertices with respect to $\mathcal{A}$ marked blue, white, and pink (right)
\documentclass{article} \usepackage{amsfonts,epsfig,fancyhdr,graphics, hyperref,amsmath,amssymb} \usepackage{tikz} \begin{document} \begin{tikzpicture} \tikzset{enclosed/.style={draw, circle, inner sep=0pt, minimum size=.25cm}} \node[enclosed,fill=cyan,label={above, yshift=0cm: $(x,u)$}] (v_1) at (0,1.5) {};...
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https://arxiv.org/abs/2111.01265
arxiv
2022-09-16T02:20:25
Functional composition of singular and invertible disformal transformations acting on scalar-tensor theories. For any given singular generalized disformal transformation~$g\to \bar{g}[g,\phi]$ satisfying \eqref{generalized_noninv_cond}, there exists an invertible transformation~$g\to \hat{g}[g,\phi]$ such that $g\to \b...
\documentclass[notitlepage,nofootinbib,preprintnumbers,amssymb,superscriptaddress]{revtex4-1} \usepackage{amsfonts,amssymb,mathtools,graphicx,xcolor,bm} \usepackage{tikz} \begin{document} \begin{tikzpicture} \draw[thick, rounded corners=0.2cm] (0,5)--(1.5,5)--(1.5,4.2)--(0,4.2)--cycle; \node[anchor=center] at (0.75...
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https://arxiv.org/abs/2209.02176
arxiv
2022-09-07T02:39:32
Graphs $H_5$ (a), $H_5^-$ (b), $\Lambda_{5,5}$ (c), and $\Lambda_{5,5}^-$ (d)
\documentclass[12pt]{article} \usepackage{epic,latexsym,amssymb} \usepackage{color} \usepackage{tikz} \usepackage{geometry,graphicx,verbatim,amsmath} \usepackage{tikz,ifthen} \usetikzlibrary{calc} \begin{document} \begin{tikzpicture} \clip(-7.28,1) rectangle (4,5.5); \draw (-7,5)-- (-7,4); \draw (-7,4)-- (-6,4); \dra...
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https://arxiv.org/abs/2305.19620
arxiv
2023-06-01T02:13:28
Construction of the $U$ and $F$ polynomials for the non-planar massless vertex {\rm V6l0m}, single terms are shown. See Problem~\ref{problemFU} for a complete solution.
\documentclass{article} \usepackage{tikz} \usetikzlibrary{arrows,positioning,matrix} \usepackage{pgfplots} \pgfplotsset{compat=newest} \usepackage{tikz-feynman} \usepackage{framed,amsmath} \usetikzlibrary{arrows} \usetikzlibrary{automata} \usetikzlibrary{shapes.misc} \usepackage{tikz} \usetikzlibrary{decorations.markin...
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https://arxiv.org/abs/2211.13733
arxiv
2022-11-28T02:15:53
\emph{% The data-generating process for our stylized example of criminal behavior (true label) and arrest (proxy label), with observed variables highlighted in orange. }
\documentclass[11pt]{article} \usepackage{amssymb} \usepackage{tikz} \usetikzlibrary{arrows.meta} \begin{document} \begin{tikzpicture}[xscale = 3.5, yscale = 3, align = center] \node (Z) at (0, 0) {\colorbox{orange!50}{\(Z\)}\\{\footnotesize Neighborhood}}; \node (A0) at (-1, 1) ...
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https://arxiv.org/abs/2305.12638
arxiv
2023-05-23T02:23:55
{\em Artificial Intelligence} (AI), {\em Machine Learning} (ML), and {\em Deep Learning} (DL). {\em Cybernetics} is broad and encompasses many fields, including AI. See also Figure~\ref{fig:AI.ML.DL}. % Section~\ref{sc:history} on Historical perspective.
\documentclass{article} \usepackage{amsmath} \usepackage{amssymb} \usepackage[dvipsnames]{xcolor} \usepackage{tikz} \usetikzlibrary{arrows,intersections,calc} \usepackage{pgfplots} \pgfplotsset{compat=1.14} \usepackage{xcolor} \begin{document} \begin{tikzpicture}[ thick, >=stealth', dot/.style = { draw, fill =...
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https://arxiv.org/abs/2212.08989
arxiv
2023-01-03T02:08:31
On the left we have the tree before the contraction. On the right, we have the tree after applying \textsc{Binary}. We have highlighted with similar colors the path that is contracted on the left and the final edge on the right.
\documentclass[letterpaper,11pt, margin=1in]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{xcolor} \usepackage{amsmath} \usepackage{tikz} \usetikzlibrary{calc, graphs, graphs.standard, shapes, arrows, positioning, decorations.pathreplacing, decorations.markings, decorations.pathmorphing, fit...
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https://arxiv.org/abs/2211.13291
arxiv
2022-11-28T02:01:31
Commutative diagram arising from the LRI mapping hypotheses for $u_0\in E^N\cap B_{E^r}(0,\delta_R)$ and $r+\mu\leqslant s\leqslant R-\mu$. The `$\hookrightarrow$' are the inclusion maps.
\documentclass[11pt,reqno]{amsart} \usepackage{amssymb,amsmath,amsfonts,amsthm,enumerate,stmaryrd,tensor,mathtools,dsfont,upgreek,bbm,mathrsfs,nameref,microtype,xcolor,bm,tikz} \usetikzlibrary{arrows} \begin{document} \begin{tikzpicture}[space/.style={align=center,inner sep = 0.2 cm,anchor = center}, map/.style={fill...
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https://arxiv.org/abs/2301.00773
arxiv
2023-01-03T02:20:53
A minimal poset whose multiset of maximal chain cardinalities is $\{3, 4, 5, 6, 7, 8, 9, 10\} = 3 + \textup{sums}(\{1, 2, 4\})$. Each color represents one of the posets in the ordinal sum. \newline
\documentclass[12pt]{amsart} \usepackage[utf8]{inputenc} \usepackage{amssymb} \usepackage{amsmath} \usepackage{xcolor} \usepackage{tikz} \begin{document} \begin{tikzpicture} \draw (0,1) -- (0,11); \draw (1.5,1.5) -- (1.5,9); \draw (0,2) -- (1.5,4.5); \draw (1.5,1.5) -- (0,3.5); \draw (...
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https://arxiv.org/abs/2305.17541
arxiv
2023-05-30T02:13:56
The relevant monotones on the preordered semiring $S^3$ in the sense of the \emph{test spectrum} of~\cite{Fritz2021b}. In green, we have the matrix $\mathuline{\alpha}$-divergences $D_{\mathuline{\alpha}}$ for $\mathuline{\alpha} \in (A_+ \cup A_-) \setminus \{e_1, \dots, e_d\}$ from~\eqref{eq:MatrDiv}. In red, we have...
\documentclass[12pt,a4paper,reqno]{amsart} \usepackage{amssymb} \usepackage{amsmath} \usepackage{xcolor} \usepackage{tikz-cd} \usepackage{tikz} \usetikzlibrary{intersections,fpu} \begin{document} \begin{tikzpicture} \fill[fill=green!30,name path=innertriangle] (0,2) -- (-1.732,-1) -- (1.732,-1) -- cycle; \foreach \...
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https://arxiv.org/abs/2301.07353
arxiv
2023-01-19T02:07:30
Diagrams for the decay of a charged meson ($ P ^+ $) to an ALP ($ a $), lepton ($ \ell $), and neutrino ($ \nu _\ell $) using the interactions in Eq.\eqref{eq:int}. ({\bf A}) relies on the standard $ \bar\ell \gamma _5 \ell $ vertex. ({\bf B}) uses the enhanced weak-violating vertex.
\documentclass[prl,nofootinbib,twocolumn]{revtex4-2} \usepackage{color} \usepackage{amsfonts,amssymb,amsmath} \usepackage{tikz} \usepackage{tkz-euclide} \usetikzlibrary{decorations.pathmorphing} \tikzset{ v/.style={decorate, decoration={snake, segment length=3mm, amplitude=0.75mm}, draw}, f/.style={draw,decorat...
"JVBERi0xLjUKJcK1wrYKCjEgMCBvYmoKPDwvcGdmQENBMC41PDwvQ0EgLjU+Pi9wZ2ZAY2EwLjU8PC9jYSAuNT4+Pj4KZW5kb2JqCgoyIDAgb2JqCjw8Pj4KZW5kb2JqCgozIDAgb2JqCjw8L3BnZnByZ2JbL1BhdHRlcm4vRGV2aWNlUkdCXT4+CmVuZG9iagoKNSAwIG9iago8PC9Db2xvclNwYWNlIDMgMCBSL1BhdHRlcm4gMiAwIFIvRXh0R1N0YXRlIDEgMCBSL0ZvbnQ8PC9GMjQgOCAwIFIvRjMzIDkgMCBSL0YyNyAxMCA...
https://arxiv.org/abs/2209.00665
arxiv
2022-09-05T02:00:19
Hierarchy of the Python classes representing the physical systems and Hamiltonians available as samples in \textsc{WaveTrain} . Selected attributes and methods of each class are given in the upper and lower parts, respectively, of the boxes. The corresponding Python files are located in folder wave\_train/hamilton.
\documentclass[preprint,noshowpacs,noshowkeys,aps,pra,nofootinbib]{revtex4-2} \usepackage{amssymb} \usepackage{amsmath} \usepackage{pgf, tikz} \usetikzlibrary{positioning} \usepackage[simplified]{pgf-umlcd} \begin{document} \begin{tikzpicture} \begin{class}[text width=3.6cm]{Chain}{0,0} \attribute{n\_sit...
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https://arxiv.org/abs/2302.03725
arxiv
2023-02-14T02:28:26
The arrangement of value blocks in a $(2/5)$-ICD instance. There are three type-1 agents and two type-2 agents. Each color corresponds to a different agent. Note that $\alpha_1 = 1/3 < 2/5 < 1/2 = \alpha_2$.
\documentclass[a4paper,12pt]{article} \usepackage[utf8]{inputenc} \usepackage{url,amsfonts, amsmath, amssymb, amsthm,color, enumerate, multicol} \usepackage{tikz} \usetikzlibrary{arrows,automata} \usepackage{xcolor} \begin{document} \begin{tikzpicture}% % 0, 4, 8 \foreach \x in {0,2.2} ...
"JVBERi0xLjUKJcK1wrYKCjEgMCBvYmoKPDw+PgplbmRvYmoKCjIgMCBvYmoKPDw+PgplbmRvYmoKCjMgMCBvYmoKPDwvcGdmcHJnYlsvUGF0dGVybi9EZXZpY2VSR0JdPj4KZW5kb2JqCgo0IDAgb2JqCjw8L0NvbG9yU3BhY2UgMyAwIFIvUGF0dGVybiAyIDAgUi9FeHRHU3RhdGUgMSAwIFIvRm9udDw8L0Y1MSA3IDAgUi9GMzYgOCAwIFIvRjU0IDkgMCBSPj4vUHJvY1NldFsvUERGL1RleHRdPj4KZW5kb2JqCgo1IDAgb2J...
https://arxiv.org/abs/2202.06949
arxiv
2022-11-30T02:08:04
The figure shows five different admissible paths at various points in $C$ represented by a white circle and ending at the points $P,Q,R,S$ and $T$. The set $C$ is the lighter gray annulus together with the darker gray compact set $K$ in the center. Squares indicate the points along the paths and dashed segments the jum...
\documentclass[10pt, oneside]{amsart} \usepackage{amssymb} \usepackage{amssymb} \usepackage{amsmath,amsfonts} \usepackage{color} \usepackage{amsmath} \usepackage{tikz} \usetikzlibrary{shapes.geometric} \begin{document} \begin{tikzpicture}[square/.style={regular polygon,regular polygon sides=4}] % The annulus \draw[ve...
"JVBERi0xLjUKJcK1wrYKCjEgMCBvYmoKPDw+PgplbmRvYmoKCjIgMCBvYmoKPDw+PgplbmRvYmoKCjMgMCBvYmoKPDwvcGdmcHJnYlsvUGF0dGVybi9EZXZpY2VSR0JdPj4KZW5kb2JqCgo0IDAgb2JqCjw8L0NvbG9yU3BhY2UgMyAwIFIvUGF0dGVybiAyIDAgUi9FeHRHU3RhdGUgMSAwIFIvRm9udDw8L0YyNyA3IDAgUj4+L1Byb2NTZXRbL1BERi9UZXh0XT4+CmVuZG9iagoKNSAwIG9iago8PC9UeXBlL1BhZ2UvQ29udGV...
https://arxiv.org/abs/2303.00649
arxiv
2023-03-02T02:20:47
Let red be the color $1$, and let blue be the color $2$. The above figure shows all the configurations with non-zero weights in the two-colored $t$-PNG model given by Definition \ref{def:nLmatrix}. Note that some of the configurations can be obtained from the two-colored S6V model by horizontal complementation of the r...
\documentclass{article} \RequirePackage{tikz} \usetikzlibrary{arrows} \begin{document} \begin{tikzpicture}[scale = 1] \begin{scope}[xshift = 0cm, yshift = 4cm] \node at (0, -0.8) {$1$}; \end{scope} \begin{scope}[xshift = 2cm, yshift = 4cm] \draw[red, thick] (-0.5, 0) -- (0.5, 0); \draw[red, thick] (0, -0.5) -- (0, 0....
"JVBERi0xLjUKJcK1wrYKCjEgMCBvYmoKPDw+PgplbmRvYmoKCjIgMCBvYmoKPDw+PgplbmRvYmoKCjMgMCBvYmoKPDwvcGdmcHJnYlsvUGF0dGVybi9EZXZpY2VSR0JdPj4KZW5kb2JqCgo0IDAgb2JqCjw8L0NvbG9yU3BhY2UgMyAwIFIvUGF0dGVybiAyIDAgUi9FeHRHU3RhdGUgMSAwIFIvRm9udDw8L0YyNCA3IDAgUi9GMjcgOCAwIFIvRjMwIDkgMCBSPj4vUHJvY1NldFsvUERGL1RleHRdPj4KZW5kb2JqCgo1IDAgb2J...
https://arxiv.org/abs/2204.11158
arxiv
2022-12-16T02:02:14
Simulated versus asymptotic singular value and alignments corresponding to the first deflation step as per Theorem \ref{thm_first_deflation_step}. We considered $\beta_1 = 5$, $\alpha = 0.5$, $p=100$ and varying $\beta_1\in[0, 15]$. The system of equations in \eqref{eq_system_first_deflation} is solved numerically and ...
\documentclass[nohyperref]{article} \usepackage{amsmath} \usepackage{amssymb} \usepackage{amsmath,amsfonts,bm} \usepackage{color} \usepackage{tikz} \usepackage{pgfplots} \usetikzlibrary{matrix} \usepgfplotslibrary{groupplots} \pgfplotsset{compat=newest} \pgfplotsset{width=7.5cm,compat=1.12} \usepgfplotslibrary{fillbetw...
"JVBERi0xLjUKJcK1wrYKCjEgMCBvYmoKPDwvcGdmQENBMC40PDwvQ0EgLjQ+Pi9wZ2ZAY2EwLjQ8PC9jYSAuND4+L3BnZkBjYTAuODw8L2NhIC44Pj4vcGdmQENBMTw8L0NBIDE+Pi9wZ2ZAY2ExPDwvY2EgMT4+Pj4KZW5kb2JqCgoyIDAgb2JqCjw8Pj4KZW5kb2JqCgozIDAgb2JqCjw8L3BnZnByZ2JbL1BhdHRlcm4vRGV2aWNlUkdCXT4+CmVuZG9iagoKNCAwIG9iago8PC9Db2xvclNwYWNlIDMgMCBSL1BhdHRlcm4gMiA...
https://arxiv.org/abs/2302.05798
arxiv
2023-02-14T02:12:22
Instances of graphs used in the proof of Lemma \ref{lem:max3}. (a) A cycle with trees attached to it. (b) A cycle with single edges attached to it. %edges represent matching edges. The unfilled vertices belong to the set $Y''$.
\documentclass[11pt,letterpaper]{article} \usepackage{amsmath,amssymb,amsfonts} \usepackage{tikz,fullpage} \usetikzlibrary{decorations.markings} \usetikzlibrary{arrows,petri,topaths} \usepackage{tikz-network} \begin{document} \begin{tikzpicture}[scale=0.45,transform shape] \Text[x=8, y = 8.7]{\Huge $x$} \Text[x=10, y...
"JVBERi0xLjUKJcK1wrYKCjEgMCBvYmoKPDwvcGdmQGNhMTw8L2NhIDE+Pi9wZ2ZAQ0ExPDwvQ0EgMT4+Pj4KZW5kb2JqCgoyIDAgb2JqCjw8Pj4KZW5kb2JqCgozIDAgb2JqCjw8L3BnZnByZ2JbL1BhdHRlcm4vRGV2aWNlUkdCXT4+CmVuZG9iagoKNCAwIG9iago8PC9Db2xvclNwYWNlIDMgMCBSL1BhdHRlcm4gMiAwIFIvRXh0R1N0YXRlIDEgMCBSL0ZvbnQ8PC9GMzcgNyAwIFIvRjM0IDggMCBSPj4vUHJvY1NldFsvUER...
https://arxiv.org/abs/2304.05859
arxiv
2023-04-13T02:15:30
The relation $m\rightarrow n$ defined by: if $A\subseteq X$ exists with $\psi A=m$, then $B\subseteq X$ exists with $\psi B=n$.
\documentclass[11pt,table]{article} \usepackage{amsmath,amssymb,amsthm,amsfonts} \usepackage[T1]{fontenc} \usepackage[utf8]{inputenc} \usepackage[dvipsnames]{xcolor} \usepackage{colortbl} \usepackage{tikz} \usetikzlibrary{arrows.meta,calc} \usepackage[colorlinks,urlcolor=blue,citecolor=,linkcolor=,hyperfootnotes=false]...
"JVBERi0xLjUKJcK1wrYKCjEgMCBvYmoKPDw+PgplbmRvYmoKCjIgMCBvYmoKPDw+PgplbmRvYmoKCjMgMCBvYmoKPDwvcGdmcHJnYlsvUGF0dGVybi9EZXZpY2VSR0JdPj4KZW5kb2JqCgo0IDAgb2JqCjw8L1MvR29Uby9EWzYgMCBSL0ZpdF0+PgplbmRvYmoKCjYgMCBvYmoKPDwvVHlwZS9QYWdlL0NvbnRlbnRzIDggMCBSL1Jlc291cmNlcyA3IDAgUi9NZWRpYUJveFsxNDEuNzM0MzggNDMyLjI4MTI2IDU2MS4wMTE3IDY...
https://arxiv.org/abs/2210.10928
arxiv
2022-10-21T02:04:45
$B_k=\{1,2,3,4,6,7\} \subset[8]$ and its unfolded line, cut between 1 and 8. The maximal arcs of $B_k$ in $[8]$ are $\{1,2,3,4\}$ and $\{6,7\}$.
\documentclass[12pt]{amsart} \usepackage{amsthm,amsmath,amssymb,enumerate,color, tikz} \usetikzlibrary{shapes.geometric} \usepackage[colorlinks,anchorcolor=black,citecolor=black,linkcolor=black]{hyperref} \usepackage{tikz} \begin{document} \begin{tikzpicture}[scale = 1] \node at (1,0) [rectangle] {$\bullet$}; \node ...
"JVBERi0xLjUKJcK1wrYKCjEgMCBvYmoKPDw+PgplbmRvYmoKCjIgMCBvYmoKPDw+PgplbmRvYmoKCjMgMCBvYmoKPDwvcGdmcHJnYlsvUGF0dGVybi9EZXZpY2VSR0JdPj4KZW5kb2JqCgo0IDAgb2JqCjw8L1MvR29Uby9EWzYgMCBSL0ZpdF0+PgplbmRvYmoKCjYgMCBvYmoKPDwvVHlwZS9QYWdlL0NvbnRlbnRzIDggMCBSL1Jlc291cmNlcyA3IDAgUi9NZWRpYUJveFsxNDAgNTkxIDM1NSA2NzJdL1BhcmVudCAxNCAwIFI...
https://arxiv.org/abs/2204.00072
arxiv
2022-09-09T02:16:10
\textbf{A 2D example with a RealNVP\cite{realnvp} normalizing flow.} The image space $\X$ contains data points sampled from 5 Gaussians with different means. The prior distribution in the latent space $\Z$ is Gaussian. Given a normalizing flow that maps $\Z \rightarrow \X$, we tame the model to produce the same image s...
\documentclass[10pt,twocolumn,letterpaper]{article} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz} \usetikzlibrary{positioning,calc,arrows,shapes,decorations.text} \usepackage[pagebackref,breaklinks,colorlinks]{hyperref} \begin{document} \begin{tikzpicture} \newcommand{\deflen}[2]{% \expanda...
"JVBERi0xLjUKJcK1wrYKCjEgMCBvYmoKPDw+PgplbmRvYmoKCjIgMCBvYmoKPDw+PgplbmRvYmoKCjMgMCBvYmoKPDwvcGdmcHJnYlsvUGF0dGVybi9EZXZpY2VSR0JdPj4KZW5kb2JqCgo0IDAgb2JqCjw8L1MvR29Uby9EWzYgMCBSL0ZpdF0+PgplbmRvYmoKCjYgMCBvYmoKPDwvVHlwZS9QYWdlL0NvbnRlbnRzIDkgMCBSL1Jlc291cmNlcyA4IDAgUi9NZWRpYUJveFs4My43ODUxNiA0NzggMzEwIDY2NV0vUGFyZW50IDE...
https://arxiv.org/abs/2211.16488
arxiv
2022-11-30T02:22:36
Privacy-preserving speech processing through \emph{disentanglement}, where speech is decomposed into independent streams of information, each representing a distinct category of information and where the level of anonymization can be individually chosen for each category. The point of attack is indicated by the red arr...
\documentclass[journal]{IEEEtran} \usepackage{amsmath} \usepackage{lipsum,amsmath,verbatim} \usepackage[colorlinks=false]{hyperref} \usepackage{tikz,pgfplots} \pgfplotsset{compat=1.16} \usetikzlibrary{math} \usetikzlibrary{calc} \usepgfplotslibrary{external} \usetikzlibrary{arrows, decorations.markings} \begin{documen...
"JVBERi0xLjUKJcK1wrYKCjEgMCBvYmoKPDw+PgplbmRvYmoKCjIgMCBvYmoKPDw+PgplbmRvYmoKCjMgMCBvYmoKPDwvcGdmcHJnYlsvUGF0dGVybi9EZXZpY2VSR0JdPj4KZW5kb2JqCgo0IDAgb2JqCjw8L1MvR29Uby9EWzYgMCBSL0ZpdF0+PgplbmRvYmoKCjYgMCBvYmoKPDwvVHlwZS9QYWdlL0NvbnRlbnRzIDkgMCBSL1Jlc291cmNlcyA4IDAgUi9NZWRpYUJveFs2NCA2NTMgMzI2IDczNF0vUGFyZW50IDEzIDAgUi9...
https://arxiv.org/abs/2305.05227
arxiv
2023-05-10T02:10:40
Left: The electric-magnetic duality group is given by the monodromy group $M$ which acts on homology group of SW curve; Right: there is one monodromy group element around each special vacua (including the $\infty$ point on the Coulomb branch), and the global constraint is $M_1M_2M_3=I$.
\documentclass[a4paper,11pt]{article} \usepackage{tikz-cd} \usepackage{tikz} \begin{document} \begin{tikzpicture}[x=0.55pt,y=0.55pt,yscale=-1,xscale=1] \draw (37,359.72) .. controls (37,322.01) and (82,291.44) .. (137.5,291.44) .. controls (193,291.44) and (238,322.01) .. (238,359.72) .. controls (238,397.43) and ...
"JVBERi0xLjUKJcK1wrYKCjEgMCBvYmoKPDwvcGdmQENBMTw8L0NBIDE+Pj4+CmVuZG9iagoKMiAwIG9iago8PD4+CmVuZG9iagoKMyAwIG9iago8PC9wZ2ZwcmdiWy9QYXR0ZXJuL0RldmljZVJHQl0+PgplbmRvYmoKCjQgMCBvYmoKPDwvQ29sb3JTcGFjZSAzIDAgUi9QYXR0ZXJuIDIgMCBSL0V4dEdTdGF0ZSAxIDAgUi9Gb250PDwvRjM2IDcgMCBSL0YzNCA4IDAgUi9GMzMgOSAwIFI+Pi9Qcm9jU2V0Wy9QREYvVGV4dF0...
https://arxiv.org/abs/2304.13663
arxiv
2023-04-27T02:24:30
Automatic placing dynamic styling of nodes in a graph. to check the first character in a node’s name if it’s a c (blue) or a p (gray). The integer number will be evaluated to determine the intensity of the color. the /utils/TeX/if and the /utils/TeX/ifnum keys It makes use of the ext.misc library of the tikz-ext bundle...
\documentclass[tikz]{standalone} \usetikzlibrary{ graphs, graphdrawing, ext.misc} \usegdlibrary{force} % requires LuaLaTeX \begin{document} \tikz[ parse node name/.style={ circle, minimum size=10mm, draw, densely dashdotted, thick, decide color/.expand once=#1}, decide color/.style 2 args={ /utils...
"JVBERi0xLjUKJcK1wrYKCjEgMCBvYmoKPDw+PgplbmRvYmoKCjIgMCBvYmoKPDw+PgplbmRvYmoKCjMgMCBvYmoKPDwvcGdmcHJnYlsvUGF0dGVybi9EZXZpY2VSR0JdPj4KZW5kb2JqCgo0IDAgb2JqCjw8L0NvbG9yU3BhY2UgMyAwIFIvUGF0dGVybiAyIDAgUi9FeHRHU3RhdGUgMSAwIFIvRm9udDw8L0YxOSA3IDAgUi9GMjAgOCAwIFIvRjE3IDkgMCBSL0YyNyAxMCAwIFI+Pi9Qcm9jU2V0Wy9QREYvVGV4dF0+PgplbmR...
https://tikz.net/automatic-placing-dynamic-styling-of-nodes-in-a-graph/
tikz.net
2022-12-03T20:00:26
An illustration of Proposition \ref{prop : non-closed geodesics}. The non-closed geodesic $\gamma_{\rho_0}$ is damped by some polyhedron in the direction $\Xi_0^\perp \in F$. By density in $F$, it enters that polyhedron. The dashed violet edges and paler-shade part of the polyhedron are below the plane $F$. The dashed ...
\documentclass[a4paper,12pt]{amsart} \usepackage[T1]{fontenc} \usepackage[utf8]{inputenc} \usepackage{amssymb,,amsmath} \usepackage{tikz} \begin{document} \begin{tikzpicture}[scale = 3.] \draw[opacity = 1., black] (2., 1.) -- (1., 0.) -- (4., 0.) -- (5., 1.); \fill[opacity = 0.1, black] (2., 1.) -- (1...
"JVBERi0xLjUKJcK1wrYKCjEgMCBvYmoKPDwvcGdmQENBMS48PC9DQSAxPj4vcGdmQGNhMS48PC9jYSAxPj4vcGdmQENBMC4xPDwvQ0EgLjE+Pi9wZ2ZAY2EwLjE8PC9jYSAuMT4+L3BnZkBDQTAuMjw8L0NBIC4yPj4vcGdmQGNhMC4yPDwvY2EgLjI+Pj4+CmVuZG9iagoKMiAwIG9iago8PD4+CmVuZG9iagoKMyAwIG9iago8PC9wZ2ZwcmdiWy9QYXR0ZXJuL0RldmljZVJHQl0+PgplbmRvYmoKCjQgMCBvYmoKPDwvQ29sb3J...
https://arxiv.org/abs/2303.03733
arxiv
2023-03-30T02:12:46
This figure shows an alternate version of \cref{fig:wecr_ohd_sim} where instead of $\mathit{We}_{cr}$, the variation of $C_\mathit{breakup}$ with respect to $\rho$, $\mathit{Oh}_o$, and $\mathit{Oh}_d$ is plotted. In addition to simulation data, all available experimental data in the relevant non-dimensional space for ...
\documentclass{article} \usepackage{tikz} \usepackage{amsmath, epstopdf, epsfig, multirow, float} \begin{document} \begin{tikzpicture} \node (img) at (0,0) {\includegraphics[width=1\textwidth]{example-image}}; \node at (1.7,-1.8) {$C_\mathit{breakup}=10.5$}; \end{tikzpicture} \end{document}
"JVBERi0xLjUKJcK1wrYKCjEgMCBvYmoKPDw+PgplbmRvYmoKCjIgMCBvYmoKPDw+PgplbmRvYmoKCjMgMCBvYmoKPDwvcGdmcHJnYlsvUGF0dGVybi9EZXZpY2VSR0JdPj4KZW5kb2JqCgo0IDAgb2JqCjw8L1R5cGUvWE9iamVjdC9TdWJ0eXBlL0Zvcm0vRm9ybVR5cGUgMS9QVEVYLkZpbGVOYW1lKC9ob21lcy9qYmVsb3VhZGkvLmxvY2FsL3RleGxpdmUvdGV4bWYtZGlzdC90ZXgvbGF0ZXgvbXdlL2V4YW1wbGUtaW1hZ2U...
https://arxiv.org/abs/2211.12017
arxiv
2022-11-23T02:08:00
Graph illustrating the relationship between the frequency of inference requests with the number of tasks per second (line) and the number of timed-out requests (bar).
\documentclass[conference]{IEEEtran} \usepackage{amsmath,amssymb,amsfonts} \usepackage{xcolor} \usepackage{pgfplots,pgfplotstable} \usetikzlibrary{pgfplots.groupplots} \pgfplotsset{compat=1.17} \usepackage{tikz} \usepackage{color, colortbl} \begin{document} \begin{tikzpicture} \centering \begin{axis}[ width=0.9\c...
"JVBERi0xLjUKJcK1wrYKCjEgMCBvYmoKPDw+PgplbmRvYmoKCjIgMCBvYmoKPDw+PgplbmRvYmoKCjMgMCBvYmoKPDwvcGdmcHJnYlsvUGF0dGVybi9EZXZpY2VSR0JdPj4KZW5kb2JqCgo0IDAgb2JqCjw8L0NvbG9yU3BhY2UgMyAwIFIvUGF0dGVybiAyIDAgUi9FeHRHU3RhdGUgMSAwIFIvRm9udDw8L0Y5MyA3IDAgUi9GNzMgOCAwIFIvRjc1IDkgMCBSPj4vUHJvY1NldFsvUERGL1RleHRdPj4KZW5kb2JqCgo1IDAgb2J...
https://arxiv.org/abs/2305.04062
arxiv
2023-05-09T02:10:26
The high-level \emph{threat model} of speech interaction, where a private message is sent through a channel to the legitimate recipient, but consequential side-information is bundled to that message. It is a threat to privacy when an undesired recipient gains access to that private message or side information (marked b...
\documentclass[journal]{IEEEtran} \usepackage{amsmath} \usepackage{lipsum,amsmath,verbatim} \usepackage[colorlinks=false]{hyperref} \usepackage{tikz,pgfplots} \pgfplotsset{compat=1.16} \usetikzlibrary{math} \usetikzlibrary{calc} \usepgfplotslibrary{external} \usetikzlibrary{arrows, decorations.markings} \begin{documen...
"JVBERi0xLjUKJcK1wrYKCjEgMCBvYmoKPDw+PgplbmRvYmoKCjIgMCBvYmoKPDw+PgplbmRvYmoKCjMgMCBvYmoKPDwvcGdmcHJnYlsvUGF0dGVybi9EZXZpY2VSR0JdPj4KZW5kb2JqCgo0IDAgb2JqCjw8L1MvR29Uby9EWzYgMCBSL0ZpdF0+PgplbmRvYmoKCjYgMCBvYmoKPDwvVHlwZS9QYWdlL0NvbnRlbnRzIDkgMCBSL1Jlc291cmNlcyA4IDAgUi9NZWRpYUJveFs2MyA2NTYgMjMwIDczNF0vUGFyZW50IDEzIDAgUi9...
https://arxiv.org/abs/2305.05227
arxiv
2023-05-10T02:10:40
Equip the $1$-skeleton above with the factorization rule $c_2 b_1\sim e_1 a_2$ and $e_2 a_1\sim c_1 b_2 $ (the remaining relations are fixed). Notice that $w$ is fully reducible with color set red (dashed) and blue (dotted). If a smaller color set was chosen, notice that the first condition of Definition \ref{red} woul...
\documentclass{article} \usepackage{amsmath} \usepackage{amssymb} \usepackage{color} \usepackage[utf8]{inputenc} \usepackage{tikz} \usetikzlibrary{positioning} \usetikzlibrary{decorations,arrows,shapes} \usepackage{tikz-cd} \begin{document} \begin{tikzpicture}[roundnode/.style={circle, draw=black!60, fill=gray!5, ver...
"JVBERi0xLjUKJcK1wrYKCjEgMCBvYmoKPDw+PgplbmRvYmoKCjIgMCBvYmoKPDw+PgplbmRvYmoKCjMgMCBvYmoKPDwvcGdmcHJnYlsvUGF0dGVybi9EZXZpY2VSR0JdPj4KZW5kb2JqCgo0IDAgb2JqCjw8L0NvbG9yU3BhY2UgMyAwIFIvUGF0dGVybiAyIDAgUi9FeHRHU3RhdGUgMSAwIFIvRm9udDw8L0YyNCA3IDAgUi9GNDcgOCAwIFIvRjQ0IDkgMCBSL0Y0MiAxMCAwIFI+Pi9Qcm9jU2V0Wy9QREYvVGV4dF0+PgplbmR...
https://arxiv.org/abs/2211.17156
arxiv
2022-12-01T02:19:21
$L^{\star}_{S}$, which is formulated with Schnorr randomness, is compatible with more worlds than $L^{\star}_{ML}$, which employs Martin-L\"of randomness. However, the two are empirically indistinguishable, if one is limited to Turing-strength computation.
\documentclass{article}[12] \usepackage{amsmath} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{tikz} \usepackage{tikz-3dplot} \usepackage{tcolorbox} \usepackage{pgfplots} \begin{document} \begin{tikzpicture} \draw[black, very thick] (0,0) rectangle (5,4); \draw[blue, very thick] (0.3,0.3) recta...
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https://arxiv.org/abs/2303.01411
arxiv
2023-03-03T02:21:04
Schematic diagram of two black holes generated at $\tau=0$ from pure dS. A topology change of the spatial section from an interval to a circle occurs with two copies of global de Sitter spaces by GPBH mechanism. After the black holes evaporate completely, two disjoint dS spaces emerge. We excise small regions at the sp...
\documentclass[11pt,a4paper]{article} \usepackage{tikz} \usetikzlibrary{decorations.pathmorphing} \usepackage{amsmath,amssymb,amsbsy,amsfonts,latexsym,graphicx} \usepackage{color,array,subfigure} \begin{document} \begin{tikzpicture}[scale=0.7] \draw (-4,4) -- (-4,2)--(12,2)--(12,4); \draw [decorate,decoration={...
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https://arxiv.org/abs/2212.14753
arxiv
2023-01-02T02:18:51
Schematic view of the optimised placement of the Vanilla RNN showing the 5 cells and the dense layer with respect to the memory and DSP lines inside the FPGA.
\documentclass[a4paper,11pt]{article} \usepackage{tikz} \usetikzlibrary{shapes.geometric} \usetikzlibrary{arrows.meta} \usepackage{tikz-timing} \usepackage{xcolor,colortbl} \usepackage[utf8]{inputenc} \usepackage{graphicx, color} \begin{document} \begin{tikzpicture} \node[draw, minimum width = 16cm, minimum heig...
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https://arxiv.org/abs/2302.07555
arxiv
2023-02-16T02:10:29
Host-side overhead types. The labels T1--T5 indicate the five overhead types introduced in Section~\ref{sec:device-idle-time-analysis}. Each op has one T2 and one T3 overhead, and at least one T4 overhead if it has device kernel calls.
\documentclass[conference]{IEEEtran} \usepackage{amsmath,amssymb,amsfonts} \usepackage{xcolor} \usepackage{tikz} \usetikzlibrary{arrows, arrows.meta} \usetikzlibrary{external} \begin{document} \begin{tikzpicture}[scale=0.75, every node/.style={scale=0.75}] \node[] at (0,0.25) {CPU}; \node[] at (0,-1.55) {GPU}...
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https://arxiv.org/abs/2201.07821
arxiv
2022-11-18T02:03:31
The speedup ParaHT achieves over other algorithms for saddle point pencils of varying size. IterHT is not listed because it failed to converge within 10 iterations of iterative refinement.
\documentclass[]{article} \usepackage[utf8]{inputenc} \usepackage{amsmath} \usepackage{pgfplots} \usepackage{pgfplotstable} \pgfplotsset{width=10cm,compat=1.9} \usetikzlibrary{patterns} \usetikzlibrary{graphs} \pgfplotsset{compat = 1.13, % define your own legend style here my ybar legend/.style={ ...
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https://arxiv.org/abs/2301.07964
arxiv
2023-01-20T02:08:29
(A portion of the) Schreier graph of $D$ for the subgroup $H=\{e,x\}$ with $x$ (dashed, black), $y$ (blue) and $a$ (thin, red). Considered with the generating set $\{x,y\}$ (without the red lines), it looks - from far away - like a ray.
\documentclass{amsart} \usepackage{amsmath} \usepackage{amssymb} \usepackage{pgfplots} \usepackage{tikz} \usetikzlibrary{trees} \usetikzlibrary{arrows} \usepackage[T2A]{fontenc} \usepackage[utf8]{inputenc} \pgfplotsset{width=8cm} \begin{document} \begin{tikzpicture}[shorten >=1pt, auto, node distance=3cm, ultra thick...
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https://arxiv.org/abs/2211.03227
arxiv
2022-11-08T02:16:59
Tree embedding in a order-7 triangular tiling of the hyperbolic plane: the order-7 triangular tiling is represented by black lines, and the embedded tree is represented by red lines.
\documentclass[11pt]{amsart} \usepackage{amssymb} \usepackage{amsmath,amscd} \usepackage{tikz} \begin{document} \begin{tikzpicture} \draw[gray, thick] (0,0) -- (1,0); \draw[gray, thick] (0.6235,-0.7818)--(0,0) -- (0.6235,0.7818); \draw[red, thick] (0.6235,-0.7818)--(0,0); \draw[gray, thick] (1,0) -- (0.6235,0.7818)--...
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https://arxiv.org/abs/2304.00923
arxiv
2023-04-04T02:28:13
Sketch of the dynamics of the walkers inside the moving domain -- a vizualization of Step~1-- Step~3 in the algorithm of Section~\ref{interface_discrete}.
\documentclass{article} \usepackage{amsmath,amssymb,graphicx} \usepackage{amssymb} \usepackage{tikz} \usetikzlibrary{decorations.markings} \usepackage{color} \begin{document} \begin{tikzpicture}[scale=1, every node/.style={scale=1}] \draw[step=1cm] (0,0) grid (6,7); \draw[very thick,->] (-0.5, 0) -- (6.5,0) ...
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https://arxiv.org/abs/2305.08520
arxiv
2023-05-16T02:24:26
Extended realization of a non sequential network to enforce the periodic boundary condition in the space variable $x_2$ according to \eqref{eq::per_base}. The periodic base layer is dependent on three parameters $\mathbf{B}, \mathbf{A}$ and $\phi$, which have an explicit dependency on the time $t$. These parameters and...
\documentclass[lettersize,journal]{IEEEtran} \usepackage{amsmath,amssymb,amsfonts,amsthm,mathtools,wasysym} \usepackage[table]{xcolor} \usepackage{pgfplots} \usepackage{tikz} \usetikzlibrary{fit} \usetikzlibrary{calc,positioning,shapes} \usetikzlibrary{arrows.meta,positioning} \usetikzlibrary{patterns,decorations.pathm...
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https://arxiv.org/abs/2210.03426
arxiv
2022-10-10T02:09:41
In the $3$-dimensional space, interconnected soft fibers do not disconnect the matrix. A simple case is depicted here: the cylindrical perforation $Q^0$ runs through the periodicity cell and its complement $Q^1$ is connected.
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https://arxiv.org/abs/2301.02170
arxiv
2023-01-06T02:12:51
Illustrates where to deploy $P(v,n)$ the VFs (circles) of a remote driving application, the traffic routing (thick line), and robot-PoA attachment $\phi(r,R)$. Deployment, routing, and attachment decisions depend on contextual information as signal strength $\sigma_{R}(r)$ and link delays $d(w,n)$.
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https://arxiv.org/abs/2210.14208
arxiv
2022-10-26T02:21:02
The model is solved by a rotated Jordan-Wigner transformation. Majorana bilinears that commute with the Hamiltonian are denoted by green dashed lines, which in turn form the static $Z_{2}$ variables. The solution is a Majorana hopping model, connected by orange and black lines, coupled with static $Z_{2}$ variables.
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https://arxiv.org/abs/2112.12824
arxiv
2022-10-31T01:17:10
The instance in the proof of Theorem~\ref{thm: 2-UFS EW}. $f^*_{EW}$ represents the egalitarian welfare maximizing facility placement, whilst $2UFS(x)$ represents the interval of facility placements satisfying 2-UFS. The red intervals denote locations that are infeasible under 2-UFS.
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https://arxiv.org/abs/2301.04340
arxiv
2023-01-12T02:07:44