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# A note on a universal random variate generator for integer-valued random variables
@article{Barabesi2014ANO,
title={A note on a universal random variate generator for integer-valued random variables},
author={Lucio Barabesi and Luca Pratelli},
journal={Statistics and Computing},
year={2014},
volume={24},
pages={589-... | |
# Entropy and enthalpy
1. Feb 29, 2008
### Mr_Bojingles
I decided to try and learn what entropy is today and I swear to god I've been sitting here for 4 hours and I still don't have the foggiest idea of what the hell is it? Its driving me insane. I can't think anymore cuz of the stress thats building up from the fac... | |
# Rotational Motion and Equilibrium
1. Apr 9, 2007
### hbailey
1. The problem statement, all variables and given/known data
A 2.5 kg pulley of radius 0.15m is pivoted about an axis through its center. What constant torque is required for the pulley to reach an angular speed 25rad/s after rotating 3.0 revolutions, st... | |
# SMD Pin Cutters
Status
Not open for further replies.
#### dknguyen
##### Well-Known Member
Is anyone able to confirm if the expensive tip cutters such as the Erem 670EP or 670EPF are small enough to cut individual 0.5mm pitch SMD pins on an IC?
I mean...the catalog has a picture of them doing it. I have a pair of... | |
2006.08137 | \section{Introduction}
We apply a microscopic three-cluster model to study the hypernucleus
$_{\Lambda}^{9}$Be. This nucleus is considered as a three-cluster system
$\alpha+\alpha+\Lambda$. Our aim is to examine both discrete and continuous
spectrum states of $_{\Lambda}^{9}$Be. This research is performed within a
mic... |
2206.08029 | \section{Introduction}
\label{intro}
As the language neural nets got better at generating texts, it's getting harder and harder to distinguish the human-written text from generated one. So manual detection of these texts got impossible. For that reason, it's desirable to build a system that can automatically detect ge... |
2210.11051 | \section{Introduction and statements of the Theorems}
A classical theorem of Linnik \cite{{Linnik*44a}, {Linnik*44b}} states
that there exists an absolute constant $b >0$ such that, given a positive
integer $q$ and an invertible residue class $a \bmod q$, the smallest
prime in the aforementioned residue class is at mos... |
2004.07833 | \section{Introduction}
There are several problems of mathematical physics in which the only available analytic solution is a divergent and/or truncated power series expansion. Over the past decade, a new approach has evolved to overcome the convergence barrier in series solutions. An asymptotic approximant is a cl... |
2004.07986 | \section{Missing Proofs in Section \ref{sec:dis}}
\subsection{Proof of Lemma~\ref{lem:lower_bound_on_cost}}
\begin{proof}
Let $Z\in\mathbb{R}^{n\times n}$ be a random matrix. For each $i,j\in[n],$ define random variable $Z_{i,j}$ as
\begin{align*}
Z_{i,j}=\left\{\begin{array}{ll} |\Delta_{i,j}|, & \text{~if~} |\Del... |
1804.08725 | \section{Introduction}
\begin{figure}
\centering
\imagepdftex{0.6\textwidth}{figures/all.pdf_tex}
\caption{Underlying graphs induced by the complete set of paths in the quarter-plane for some well known directed lattice path classes and their vertically constrained\xspace extensions.}
\label{fig:summary}
\end{figure}
... |
cond-mat/0603633 | \section{Introduction}
After their first derivation by Rokhsar and Kivelson in 1988 in
the context of cuprates,~\cite{rokhsar} the hard-core quantum dimer models (QDM)
have attracted significant attention. The phase diagrams of the QDM on the square
and triangular lattices
have been investigated in great details,~\ci... |
cond-mat/0603220 | \section{Introduction \label{sec:introduction}}
Diffuse-charge dynamics plays an important role in the response of
electrochemical and biological systems subject to time-dependent
voltages or electric fields~\cite{bazant2004}. The classical example
is impedance spectroscopy in
electrochemistry~\cite{sluyters1970,macdon... |
cond-mat/0603686 | \section{Introduction}
Magnetic traps play an important role in the study of atomic
Bose-Einstein condensates (BEC) \cite{magnetictrap}. In a typical
static magnetic trap, individual atomic spin couples to the
spatial dependent magnetic (B-) field because of Zeeman effect.
When an atom moves in a region where the dire... |
cond-mat/0603540 | \section{Introduction}
Advances in the epitaxial growth technologies have lead to the
fabrication of high-quality two-dimensional electron gas (2DEG)
systems that are almost defect-free and upon which electronic
nanostructures can be built. The electron transport properties of
these nanostructures have been studied e... |
cs/0603107 | \section{The false algorithm, simple version}\label{sec:false-algorithm}
Assume Alice wants to share a secret $s$, which we assume for
simplicity\footnote{This assumption might be relaxed, using an
infinite set is for exposition reasons, see section \ref{sec:requirements}.}
is a non-zero rational number $s=p/q\in {\... |
1611.07590 | \section{I. Pair representations}
We present details on the group theory calculation of
the pair representations summarized in Table I of the main text.
\subsection{Characters of induced representations}
Starting from induced representations
Eqs.~(3) and (4) in the main text,
we define characters for the Cooper ... |
1502.01555 | \section{Introduction}
There are two approaches to the {\it $L^2$-Betti numbers} $\beta_n^{(2)}(\Gamma)$, $n=0,1,2,\dots$, of an arbitrary (countable) discrete group $\Gamma$; one is geometric and the other is algebraic, each of which has individual merits. The first and geometric one due to Cheeger and Gromov \cite{c... |
2005.11262 | \section{Introduction}
A fundamental problem towards robust speech processing in real-world acoustic environments is to be able to automatically extract or separate target source signals present in an input mixture recording \cite{BookEVincent}.
To date, state-of-the-art performance on the single-channel speech separat... |
1105.5691 | \section{Introduction}
\label{intro}
Hydrogen, in its atomic and molecular form, is the most abundant of chemical species in the interstellar medium. The number and size of detected interstellar molecules have been increasing last eighty years.
Polycyclic aromatic hydrocarbons (PAHs) have been investigated as carrie... |
1504.08289 | \section{Introduction}
\vspace{-5pt}
Object parts play a crucial role in many recent approaches for fine-grained recognition.
They allow for capturing very localized discriminative features of an object~\cite{Goering14:NPT}.
Learning part models is often either done in a completely supervised manner by providing part a... |
1910.07394 | \section{Introduction}\label{sec:introduction}
An increasingly common task in computational musicology --
specifically: music performance analysis -- consists in
annotating different performances (recordings) of classical
music pieces with structural information (e.g., beat positions)
that defines a temporal grid, in ... |
2010.06699 | \section*{Keywords}
Stochastic dynamical systems, Modeling neuronal networks, Asymptotic analysis, WKB, Eikonal equations, Escape from an attractor.
\section*{AMS classification}
37A50, 60G40, 92B25,41A60
\section{Introduction}
Trajectories of a dynamical system perturbed by small noise can escape from a basin of attra... |
2101.07381 | \section{\label{sec:Introduction}Introduction}
The existence of massive or massless weakly interacting neutral particles ($X$) has been suggested to augment the standard model with motivations that include providing dark matter candidates \cite{DarkMatter}, explaining baryogenesis \cite{Baryogenesis}, revealing the or... |
2005.13814 | \section{Introduction}\label{sec:intro}
\input{intro}
\section{Overview}\label{sec:overview}
\input{overview}
\section{The \textsc{ImpEff}\xspace Language}\label{sec:source}
\input{source}
\section{The \textsc{ExEff}\xspace Language}\label{sec:target}
\input{target}
\section{Type Inference \& Elaboration}\label{sec... |
2005.01262 | \section{Introduction}
Zuo (2019) (Z19) addressed the computation of projection regression depth (PRD) and its induced deepest estimator (aka regression median) $\bs{\beta}^*_{PRD}$ which were introduced in Zuo (2018) (Z18).
By modifying the definition of the univariate sample median, Z19 achieved the exact computati... |
2012.11670 | \section{INTRODUCTION}
GRAVITY is a high precision narrow angle astrometry and interferometric imaging instrument~\cite{Eisenhauer2011}. It has been built for the Very Large Telescope Interferometer (VLTI) of the European Southern Observatory and was born with the goal of monitoring the stellar sources in the vicinit... |
cond-mat/0606049 | \section{Introduction}
Despite increasing interest in recent years in geometrically frustrated systems \cite{Moessner06},
there still exists considerable controversy over the nature of the phase transition in the
prototypical magnetic system characterized by near-neighbor antiferromagnetic exchange interactions
on a st... |
astro-ph/0606699 | \section{Introduction}
The observed Universe contains order on all scales we can probe.
It is generally believed that the largest structures arose via the
amplification of primordial (quantum) fluctuations during a period of
accelerated expansion, processed by the subsequent $13\,$Gyrs of
gravitational instability.
Th... |
cond-mat/0606734 | \section{Introduction}
With a thrust from applications in quantum computing, the
manipulation of quantum states in superconducting nanocircuits has
made tremendous progress over the last decade
\cite{Bertet05b,Wallraff04,Vion02,Duty04,Makhlin01,Pashkin03,McDermott05,Oliver05,Plourde05}. A
crucial step for these success... |
2210.00799 | \section{Introduction}
The extragalactic $\gamma$-ray sky is dominated by the blazar category of active galactic nuclei (AGN; \citealt{2020ApJS..247...33A}). Blazars comprising flat-spectrum radio quasars (FSRQs) and BL Lac objects (BL Lacs) are radio-loud AGN that have their relativistic jets aligned close to the line... |
2210.00670 | \section{Introduction}\label{intro}
Szemer\'edi's famous theorem \cite{S} states that any set $S$ of integers with positive
(upper) density must necessarily contain arbitrarily long arithmetic
progressions. Quantitative versions have been obtained by several authors, first by
Roth~\cite{Roth} for three-term arithme... |
2211.03845 | \section{Introduction}
The advent of gravitational wave (GW) astronomy has brought a powerful tool to probe
new physics in regimes that have been inaccessible to previous experiments. Illusive,
weakly-coupled ultralight bosons beyond the Standard Model of particle physics
have been conjectured to solve various problem... |
2211.03824 | \section{Introduction}
\label{sect:intro}
The origin of elements heavier than iron is still debated \citep[e.g.][]{arnould20}.
The slow (s-) and rapid (r-) neutron capture processes are thought to be responsible for the synthesis of most of these elements. It is classically accepted that the s-process ends in the Pb-... |
2211.03834 | \section{Introduction}
\label{sec:intro}
When a molecule is formed in a chemical reaction there are often thousands of quantum states it
can end up in, due to the various electronic, vibrational, rotational, and spin degrees of freedom.
Generally, the product population is not uniformly distributed over these possibl... |
1708.06959 | \section{Introduction}
Linear programming (LP) decoding was introduced by Feldman \emph{et al.} in 2005 \cite{fel05} as an efficient, but (compared to maximum-likelihood (ML) decoding) suboptimal decoding approach for binary linear codes. Since then, LP decoding of low-density parity-check (LDPC) codes has been extens... |
1708.07158 | \section{Introduction}
One of the open problem in electrochemistry is the theoretical interpretation of Warburg's impedance. In his pioneer paper \cite{warburg} this impedance was interpreted as related to the ionic diffusion only. Analyses similar to that proposed by Warburg have been proposed more recently, followin... |
2006.10105 | \section*{\abstractname}%
\else
\begin{center}%
{\bfseries\sffamily\abstractname\vspace{\z@}
\end{center}%
\quotation
\fi}
{\if@twocolumn\else\endquotation\fi}
\makeatother
\DeclarePairedDelimiter{\snorm}{\lVert}{\rVert}
\hypersetup{
colorlinks=true,
linkcolor=purple... |
2004.05527 | \section{Introduction} \label{sec:intro}
Among the basic problems in combinatorics are so-called {\em reconstruction
problems}, where we try to identify an object knowing only partial information
about it. A classic example is the famous Graph Reconstruction Conjecture of
Ulam first posed in the thesis of Kelly in 194... |
2004.05337 | \section{Introduction}
\subsection*{Background and main results}
An \emph{arrow configuration} on a $4$-regular graph is an assignment of an arrow to every edge such that exactly two arrows point towards each vertex.
The \emph{six-vertex model} (or more precisely the \emph{F model}) with parameter $c>0$ on a finite 4... |
2004.05364 | \section{%
Introduction
}
Rowmotion (at the combinatorial level) is a bijection $R$ on the set $\JJ(P)$
of order ideals of a finite poset $P$, which assigns to $I \in \JJ(P)$
the order ideal $R(I)$ generated by the minimal elements of the complement $P \setminus I$.
The map $R$ can be also described in terms of togg... |
2004.14439 | \section{Introduction}
Web information is available in the form of websites, micro-blogs, email, and other social networking sites.Expert ranking has emerged as a new area of research since information present on the web can be authored by anyone especially in the case of micro-blogs, thus a requirement was felt to ra... |
1702.03360 | \section{Introduction}
The thermodynamics of black holes contains several peculiarities in contrast to standard thermodynamics.
One example is the different scaling behaviour when rescaling the thermodynamic variables. This can be directly verified noting that the entropy of a black hole is -- in general -- a quasi... |
1310.3886 | \section{Introduction}
Recently, measurements of the Cosmic Microwave Background (CMB) spectral deviations
from the black-body spectrum
have become a focus of attention as important probes of the physics in
the early Universe, because a powerful CMB observation missions called as
PIXIE and PRISM have been proposed~\c... |
1211.6558 | \section{Introduction}\label{sec:intro}
The Einstein equivalence principle (EEP) is a far-reaching concept in the
heart of many gravity theories. If EEP is valid, then gravitation must be a
curved-spacetime phenomenon. As a direct consequence, gravity
theories which fully embody EEP are the so-called ``metric theories... |
1602.02106 | \part{\partial}
\define\emp{\emptyset}
\define\imp{\implies}
\define\ra{\rangle}
\define\n{\notin}
\define\iy{\infty}
\define\m{\mapsto}
\define\do{\dots}
\define\la{\langle}
\define\bsl{\backslash}
\define\lras{\leftrightarrows}
\define\lra{\leftrightarrow}
\define\Lra{\Leftrightarrow}
\define\hra{\hookrightarrow}
\de... |
1810.06969 | \section{Introduction}\label{sec:introduction}
Labyrinth fractals are fractal dendrites in the plane, that can also be viewed as a special family of Sierpi\'nski carpets. Such carpets are not only studied by mathematicians, but also by physicists, e.g., as mathematical models for porous materials, rocks, or disord... |
2206.09471 | \section{Introduction}\label{SectionIntro}
This article is a follow-up to the paper \cite{BaumNeaRees} entitled ``Interval groups related to finite Coxeter groups I'' by the first, third and fourth authors.\\
Let $(W,R)$ be a finite Coxeter system. In \cite{Carter}, Carter defines a diagram $\Delta$ associated with e... |
1111.0433 | \section{Introduction}
\label{s1}
Consider
the the beta distribution
$\mathrm{Beta}(a,b)$, with the density function,
$$
\frac{\Gamma(a+b)}{\Gamma(a)\Gamma(b)}
\theta^{a-1}(1-\theta)^{b-1}.
$$
The mean of $\mathrm{Beta}(a, b)$ is readily obtained
by the formula $a/(a+b)$, but
there is no general closed formula for... |
1111.0762 | \section{Conclusions \& Future Work}\label{sec:conc}
In this paper, we consider the challenging problem of multidimensional balanced allocation for both the sequential and the parallel $d$ choice process and show that the gap (assuming fixed $f$ populated dimensions per ball and uniform distribution of $f$ over $D$) is... |
2105.13537 | \section{Introduction}
In the quest to understand the processes governing planetary system development, the peculiar case of short-orbit gas giants (i.e., Jovian and sub-Jovian exoplanets, orbiting their star with periods of less than a few weeks that we will refer as hot Jupiters or HJs hereafter), is a real challeng... |
1705.05335 | \section{HornMaxSAT Algorithm with Hitting Sets} \label{sec:algs}
This section develops a MaxHS\xspace-like~\cite{bacchus-cp11,jarvisalo-sat16}
algorithm for HornMaxSAT\xspace. In addition, the section shows that this
MaxHS\xspace-like algorithm elicits the possibility of solving large scale
problems with abstraction.... |
1603.01042 | \section{Introduction}\label{sec:intro}
The majority of classical Cepheids are single-periodic, radial pulsators. More complex pulsation is not rare, however. Double-mode Cepheids pulsating simultaneously in the radial fundamental and in the radial first overtone modes (F+1O) and in the two lowest-order radial overton... |
2108.05107 | \section{Introduction and summary}
Conformal defects are extended objects in conformal field theories that preserve a fraction of the full conformal symmetry. They are important physical observables and their properties should be studied with the same emphasis as the spectrum of local operators. In three dimensions, ... |
2109.08311 | \section{Introduction}
\label{sec:introduction}
\IEEEPARstart{S}{emi-supervised} learning provides great significance in left atrium (LA) segmentation model learning with insufficient labelled data. Automated and accurate LA segmentation is a crucial task to aid the diagnosis and treatment for the patients with atrial ... |
2301.12206 | \section{Introduction}
Tagging can always be seen as an initial step in any task such as dependency parsing as is done in \citep{Vacareanu2020} or part of speech(POS) tagging as well as named entity recognition(NER) tagging.
POS tagging as well as NER tagging for semantic parsing is very restricted and they determin... |
1112.5850 | \section*{\refname}
\newtheorem{theorem}{Theorem}
\newtheorem{proposition}{Proposition}
\newtheorem{corollary}{Corollary}
\newtheorem{hypothesis}{Hypothesis}
\newtheorem{lemma}{Lemma}
\newtheorem{question}{Question}
\def\FP{{the dollar trader }}
\def\AP{{the euro trader }}
\def\RP{{the sterling trader }}
\... |
1112.5827 | \section{Introduction}
Magnetite (Fe$_3$O$_4$), the earliest known magnetic material, is an abundant mineral in nature and is important due to its potential applications in magnetoelectronics and in catalysis. It is one of the most interesting iron oxides formed during the corrosion processes (rusting). Ultra-thin f... |
2002.11277 | \section{Proof of Theorem~\ref{th:kronecker}}\label{app:th:kronecker}
Note that the current form of the objective function \eqref{learn_kronecker} can be expressed as
\begin{align} \label{eq:smoothness:kronecker}
&\frac{\alpha}{M_{0}}~\underset{m = 1}{\overset{M_{0}}{\sum}} \bar{\bx}_{m}^{T} (\underset{[K_{0}]}{\otimes... |
2101.09061 | \section{Introduction}
Developing glasses with tailored surface properties is
an important step in many types of applications such as
the production of ultra-thin flexible displays and energy
efficient windows, catalysis technology, electronics, and biomaterials
\cite{Pantano1989,bocko1991surface,bach1997advanced,zhur... |
2107.12292 | \section{Introduction}
\begin{figure}[!tb]
\vspace{-0.33in}
\centering {\includegraphics[width=0.46\textwidth]{intro.pdf}}
\vspace{-0.1in}
\caption{Comparison between conventional self-attention and our Contextual Transformer (CoT) block. (a) Conventional self-attention solely exploits the isolated query-key pairs to ... |
1211.5615 | \section{Introduction}
The most popular paradigm for the origin of dark matter (DM) in the Universe is the {\em thermal freeze-out}.
In that scenario, the dark matter particle with mass $M_X$ annihilates into matter with a cross section
$\left\langle \sigma \, v \right\rangle_{\rm thermal} \sim 3 \times 10^{-26} {\r... |
1211.5556 | \section{Introduction}
Color difference perception of just notably different colors and defining distances between
very-similar colors has received considerable work
\cite{macadam1942vsc,robertson1990hdc,ciede2000,sharma2005ccd,color_book}. In the CIE
(International Commission on Illumination) community, distance... |
1712.04410 | \section{Introduction}
The general Degasperis-Procesi model (\cite{ DegProc}, 1999) is the fife parametric family of conservation laws
\begin{align}
&\frac{\partial }{\partial t}\left\{u-\alpha^2\varepsilon^2\frac{\partial^2 u}{\partial x^2}\right\}\label{1}\\
&+\frac{\partial}{\partial x}\left\{c_0u+c_1u^2
-c_2\varep... |
1712.04409 | \section{Introduction}
The photometry of the minor body with extrasolar origin (1I/2017 U1) 'Oumuamua revealed an unprecedented shape: \cite{2017Natur} reported a shape elongation b/a close to 1/10, which calls for theoretical explanation. Here we show that the abrasion of a primordial asteroid by a huge number of t... |
2106.08613 | \section{Introduction}
Video anomaly detection refers to the task of recognizing unusual events in videos. It has gained attention due to the implementation of video surveillance systems. Surveillance cameras are widely used for public safety. However, the monitoring capacity is not up to the mark. Since abnormal even... |
2106.08620 | \section{Introduction}
\par Numerical analysis is playing an increasingly important role in marine hydrodynamics. Computational Fluid Dynamic (CFD) models based on the Navier-Storkes (NS) equations with proper turbulence modeling are the most comprehensive ones for this purpose. They are applicable in more applicati... |
2106.08570 | \section{Introduction}\label{sec1}
Anomaly detection, which attempts to automatically predict abnormal/normal events in a given video sequence, has been actively studied in the field of computer vision. As a high-level computer vision task, anomaly detection aims to effectively distinguish abnormal and normal activi... |
1909.01529 | \section{Introduction}
The spectral norm and the nuclear norm of a third order tensor play an important role in the tensor completion and recovery problem \cite{SGCH19, YZ16}. It is NP-hard to compute them \cite{FL17}. It is an active research topic to study them more \cite{Hu15, JYZ17, Li16}.
In this paper, un... |
1807.07914 | \section{Introduction}\label{sec:intro}
Quantum computing is a computation paradigm that relies on the principles of quantum mechanics in order to process information. Recent advances in both algorithmic research, which has found remarkable speed-ups for a growing number of applications \cite{Childs2010,Montanaro2016, ... |
1807.07872 | \section{Introduction}\label{sec:intro}
For the following discussion, we decompose the usual face identification task into two sub-problems: \emph{recognition} and \emph{tagging}. Here we understand recognition as the unsupervised task of matching an observed face to a cluster of previously seen faces with similar app... |
1703.07868 | \section{Introduction and the main result}
We begin with some notation. Let $(\Omega, \mathcal{F}, \mathbb{P})$ be a probability space and
let $(\mathbf{B}, \| \cdot \| )$ be a real separable Banach space
equipped with its Borel $\sigma$-algebra $\mathcal{B}$
($=$ the $\sigma$-algebra generated by the class of ... |
1803.08902 | \section{\label{sec:level1}Introduction}
Active particles like bacteria, animals or artificial micro-swimmers \cite{wadaPRL99,rappelPRL83,vicsekPRE74,sumpter} are able to transform different forms of energy into self-propelled directed motion \cite{Marchetti.RevModPhys.85,BDLR2016rmp}. They use various energy sources ... |
1909.08928 | \section{Introduction}
\label{introduction}
Data centres support the provision of core Internet services and it is therefore crucial to have in place data transport mechanisms that ensure high performance for the diverse set of supported services. Data centres consist of a large number of commodity servers and switch... |
1909.08936 | \section{Introduction}
In non-relativistic topological matter, effectively quasi-relativistic description of low-energy quasiparticles with linear spectrum phenomena may emerge \cite{Volovik2003, Horava05}. In particular, in three spatial dimensions at a generic (two-fold) degenerate fermion band crossing at momentum ... |
1406.5838 | \section{Introduction}
There exist different entropic inequalities for composite quantum systems \cite{NielsonCH,LiebRuskai,PetzNielson,CorlenLieb2007,20pr,2014,fromRusk,Ruskai}. Recently it was formulated \cite{OlgaVova,OlgaVova1,RitaPS2014,maps,OlgaVovaVIminkovski} that the inequalities known for composite systems u... |
1408.3248 | \section{Introduction}
\label{Sec:Introduction}\glsresetall
\vspace{-1ex}
Wireless localization is a fairly mature area of research, with a vast literature \cite{Macagnano2012, Yanying2009, Hui2007}.
It is therefore paradoxical that despite the formidable effort put into the problem, wireless positioning is still shy ... |
1408.3391 | \section{Introduction}
\label{sec:intro}
The charged particles produced in high energy particle collisions are the result of hard and soft interactions.
The hard processes are well described by perturbative Quantum Chromodynamics while the soft processes, which occur at low momentum and are the bulk of the interactions... |
1702.07926 | \section{Introduction}
It is well known that the manifestation of the dynamical aspects of quantum chaos is possible only within its characteristic timescales, the Heisenberg time in the regular case and the logarithmic timescale in the chaotic case, where typical phenomena with a semiclassical description are possibl... |
2009.08385 | \section{Introduction}
\label{intro}
Electroencephalography (EEG) has applications in many fields, spanning from basic neuroscientific research to clinical domains. However, despite the technological advances in recording precision, the full potential of EEG is currently not being exploited. One possible way to do so i... |
2009.08283 | \section{Introduction}
Unlike conventional cameras recording intensity frames at fixed time intervals, event cameras sample light based on scene dynamics by asynchronously measuring per-pixel brightness\footnote{Defined as the logarithm of the pixel intensity, i.e., $L\doteq \log(I)$.} changes at the time they occur \... |
2101.07146 | \section{Introduction}
Following the seminal work of Barnsley \cite{MF1}, Navascu\'es \cite{M2,M1} studied the approximation of functions using their fractal counterparts termed as $\alpha$-fractal functions. In the same vein,
Verma and Masspoust \cite{VM} recently introduced the notion of dimension preserving appr... |
2111.05485 | \section{Conclusion}
We present a structure-based feature point extraction method and use the thin-plate spline interpolation method to achieve multi-modal forearm registration. We verified the accuracy of its registration and its robustness when the forearm rotates in the axial direction, and the relationship between ... |
1603.03850 | \section{introduction}
Homological algebra is at the root of modern techniques in many areas of mathematics including commutative and non commutative algebra, algebraic geometry, algebraic topology and representation theory. Not only that all these areas make use of the homological methods but homological algebra se... |
1603.04092 | \section{Supporting information}
\subsection{I. Plasmon modes supported by the double layer}
The plasmon spectra are obtained by a self-consistent solution of the Poisson's equation
\begin{multline}
\label{Poisson}
-q^2 \delta \varphi(z) + \frac{\partial^2 \delta \varphi (z)}{\partial z^2} = \\
-\frac{4\pi}{\kappa}\le... |
1603.03769 | \section{Introduction}
\label{Introduction}
Thyroid cancer is one of common cancers, whose incidence increases in accordance with developments of biomedical imaging modalities \cite{Wartofsky2010}.
There are several kinds of thyroid cancers, and most of them can be accurately diagnosed by using the ultrasound tomogra... |
2004.13086 | \section{Introduction}
The problem of Boolean matrix multiplication has a wide range of
fundamental applications, for instance, in graph algorithms (see,
e.g., \cite{Z02}). The Boolean product of two Boolean $n\times n$
matrices can be computed using $O(n^3)$ Boolean AND and OR binary
operations following its definit... |
1402.4395 | \section{Introduction}
Wavelength multi/demultiplexers are central components in optical telecommunication networks, and they have been subject of intense research and development since the advent of wavelength-division multiplexing (WDM) in the early 90s\cite{brackett}. Components for these networks are subject to de... |
1903.08247 | \section{Introduction}
We consider the average-case complexity of counting $k$-cliques in $s$-uniform Erd\H{o}s-R\'{e}nyi hypergraphs $G(n, c, s)$, where every $s$-subset of the $n$ vertices is a hyperedge independently with probability $c$. Our main result is a reduction for counting $k$-cliques on worst-case hypergra... |
1807.03586 | \section{Introduction}
This short example shows a contrived example on how to format the authors' information for {\it IJCAI--19 Proceedings}.
\section{Author names}
Each author name must be followed by:
\begin{itemize}
\item A newline {\tt \textbackslash{}\textbackslash{}} command for the last author.
\item... |
1807.03864 | \section{Introduction}
The application of quantum theory to gravity is pursued using a number of different approaches (see e.g. \cite{Duff:2012sqa} for a recent survey). These can be broadly divided into two -- those that are ``background dependent" and those that are not \cite{Isham:1993ji}. The term refers to what s... |
1807.03761 | \section{Introduction}
In this paper, we prove several theorems about the number of integral points on elliptic curves over ${\mathbb Q}$. We bound the number of integral points using only the rank of the elliptic curve and the higher order divisors of its discriminant, and, using this bound, we show that the second m... |
1803.08070 | \section*{Acknowledgement}
This work was made under the supervision of Tapani Hyttinen. I want to express my gratitude to him for introducing me to the topic, his valuable advices and support during this work. This research was supported by the Doctoral Programme in Mathematics and Statistics (Domast).
\section{Introdu... |
0803.0354 | \section{introduction\label{se:intro}}
Exploring for new physics at the ``Terascale'' -- energy scales of
$\sim$ 1 TeV and beyond -- is the highest priority for particle
physics. A new, high energy, high statistics neutrino scattering
experiment running at the Tevatron at Fermi National Accelerator
Laboratory can l... |
0803.1744 | \section{Introduction}
\label{intro}
Nuclear shadowing (NS) in deep-inelastic scattering
(DIS) off nuclei is usually studied via
nuclear structure functions.
Assuming shadowing region of small Bjorken $x_{Bj}\mathrel{\rlap{\lower4pt\hbox{\hskip1pt$\sim$} 0.01$
the structure function $F_2$ per nucleon turns out to b... |
0803.0610 | \section{Introduction}
Optimal signaling through linear time--varying (LTV) channels is a challenging
task for future communication systems. For a particular realization
of the time--varying channel operator the transmitter and receiver
design, which avoids interference
is related to ''eigen--signaling''. Eigen--signa... |
0803.0017 | \section{Introduction \label{intro}}
\subsection*{Intersection problems}
Suppose $N$ is a compact smooth manifold equipped with a closed
submanifold $Q\subset N$. An {\it intersection problem} for $(N,Q)$
consists of a map $f\: P \to N$, where $P$ is a closed manifold. A
{\it solution} to the problem consists of a homo... |
0803.1802 | \section{Introduction}
Graphene, an atomically thin material made only of carbon atoms arranged
in a hexagonal lattice, was isolated only recently.\cite{Nov04,pnas}
Several reviews on the physics of graphene are already
available in the literature.\cite{Nov07,peresworld,rmp,rmpBeenakker}
At low energies, $E<1$ eV, t... |
0803.0665 | \section{Introduction and statement of the main result}
Let $\varphi(M^m,N^n)$ denote the minimal number of critical points
of smooth
maps between the manifolds $M^m$ and $N^n$.
When superscripts
are specified they denote the dimension of the respective manifolds.
We are interested below in the case when $m\geq n\g... |
2202.01436 | \section{Introduction}\label{sec:Overview}
Given a smooth convex body $K \in \mathbb{R}^n$, its normal to a point $p\in \partial K$ is a line passing through $p$ and orthogonal to $\partial K$ at the point $p$.
It is conjectured that for any
convex body $K \in \mathbb{R}^n$ there exists a point in
the interior of $K... |
2202.01529 | \section{Introduction}
\label{sec:introduction}
Hand held gadgets like mobile phones and tablets have become part of every day life for most of the world population. Over the course of time, these small devices have also become a great source of data, as well as computationally robust units.
Together with the rece... |
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