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2,877,628,088,554 | arxiv | \section{Introduction}
\par Moral decision-making in communication often concerns the choice whether to tell the truth or to deceive. Whilst it is generally agreed that it is bad to tell lies that increase your benefit at the expense of that of another person (black lies), moral philosophers have long argued about if... |
2,877,628,088,555 | arxiv | \section{Introduction}
Let X be a topological space. We will consider configuration space of n ordered distinct points in X:
$$F(X,n)=\{(x_1,\ldots,x_n)\in X^n| x_i\neq x_j,\quad \forall \quad i\neq j \}$$
If X admits a group action $G\times X \rightarrow X$, we consider orbit configuration space:
$$F_G(X,n)=\{(x_... |
2,877,628,088,556 | arxiv | \section{Introduction}
Over the last decade, {a series of cosmological $N$-body
simulations called} the Horizon Run (HRs) simulations have served as
a testbed for cosmological models through comparisons with the
observed large-scale distribution of galaxies.
The first Horizon Run (HR1) was performed ... |
2,877,628,088,557 | arxiv | \section{Overview}
Recently, a family of non-supersymmetric dualities between Chern-Simons-matter theories in $2+1$-dimensions has been conjectured \cite{Aharony:2015mjs}. Due to the fact that one side of the duality contains bosons and the other has fermions, such identifications have been termed ``3d bosonization'' ... |
2,877,628,088,558 | arxiv | \section{Introduction}
In recent years, many new services and use cases with a focus on Internet of Things (IoT), such as smart city, factory automation and so on, have emerged for wireless communications. Most of these use cases are realized by deploying computationally complex algorithms on user devices with limited... |
2,877,628,088,559 | arxiv | \section{Introduction}
The study of noncommutative geometry is an active topic in both
theoretical physics and mathematics. From the mathematical perspective
it is a generalization of classical (commutative) geometry. From the
physics perspective it is suggested by the \textit{Gedankenexperiment}
of localizing events ... |
2,877,628,088,560 | arxiv |
\section{Introduction}
\begin{figure*}
\centerline{\psfig{file=multispec.eps,width=14.8cm}}
\caption{Results of the \hi\ absorption experiment. The uniformly
weighted, 21~cm continuum image is displayed as contours over
greyscale. The white circle indicates the location of the AGN
according to the alignment of Capett... |
2,877,628,088,561 | arxiv | \section{Introduction} \label{sc.intro}
The recent results from the Relativistic Heavy Ion Collider (RHIC)
\cite{rhic-results} indicate the formation of a thermalized medium
endowed with large collective flow and very low viscosity \cite{teaney}.
These findings suggest that Quark Gluon Plasma (QGP) is a strongly
intera... |
2,877,628,088,562 | arxiv | \section{Introduction}
There has been a growing interest in laser-driven pulsed neutron sources, for their wide applications in fields like fundamental physics~\cite{kappeler_nuclear_2006}, energy~\cite{perkins_investigation_2000}, security~\cite{sowerby_recent_2007}, and medical science~\cite{wittig_boron_2008}.
One ... |
2,877,628,088,563 | arxiv | \section{Introduction}
Since Hawking radiation was first discovered \cite{swh74,swh75}, its
inconsistency with quantum theory has been widely noticed.
Irrespective of what initial state a black hole starts with before
collapsing, it evolves eventually into a thermal state after being
completely exhausted into emitted ... |
2,877,628,088,564 | arxiv |
\section{Introduction}
Autonomous systems and humans have different strengths. \citet{moravec1988mind} claimed in 1988 that ``It is comparatively easy to make computers exhibit adult level performance on intelligence tests or playing checkers, and difficult or impossible to give them the skills of a one-year-old wh... |
2,877,628,088,565 | arxiv | \section{Introduction}
Consider a generic slow-fast system on the two-dimensional torus
\begin{equation}\label{eq:slow_fast_system}
\left\{
\begin{aligned}
\dot{x}&=f(x,y,\varepsilon)\\
\dot{y}&=\varepsilon g(x,y,\varepsilon)\\
\end{aligned}
\right.
\hspace{40pt}
(x,y)\in\mathbb... |
2,877,628,088,566 | arxiv | \section{Introduction}
Planar structures with periodically arranged subwavelength elements, coined as metasurfaces~\cite{Tretyakov,Holloway,Glybovski,bian_metasurfaces,chenreview}, have attracted considerable attention in the last decade (see e.g.~\cite{Estakhri,FranciscoCuesta,Eleftheriades101,XWangAalto,mirmoosaaalt... |
2,877,628,088,567 | arxiv | \section{Introduction}
This paper derives in full detail one of two kinds of asymptotic formulas for the $12j$ symbol, in the limit of one small and 11 large angular momenta. We will first briefly review some of the previous works on the Wigner $12j$ symbol. Its definition and exact formula are described in the textbo... |
2,877,628,088,568 | arxiv | \section{Introduction}
\label{sect-1}
The problem of variability of fundamental physical constants has a
long history starting 70 years ago with publications by
\citet{Mil35} and \citet{Dir37}. The review of its current status is
given in \cite{Uza03,GIK07}. Recent achievements in laboratory
studies of the time-variat... |
2,877,628,088,569 | arxiv |
\section{Introduction}
As the most abundant molecular species in the universe,
molecular hydrogen (H$_{2}$) is the main constituent of giant molecular clouds,
the exclusive birthplaces of stars (e.g., \citeauthor{Kennicutt12} 2012).
Recent observations of galaxies at both low and high redshifts have shown that ... |
2,877,628,088,570 | arxiv | \section{Introduction}
The conflict between quantum theory and general relativity exposed by the black hole information paradox has swung back and forth for nearly four decades, recently inflamed by the firewall paradox.
There have been a variety of previous proposals that the black hole horizon is not as general rel... |
2,877,628,088,571 | arxiv | \section{INTRODUCTION}
\label{sec:intro}
Various experimental observations over the last few decades have conclusively established the robustness of the Standard Model (SM). Nonetheless, there are a few issues demonstrating the presence of physics beyond the SM, for example, the nature and existence of dark matter (DM... |
2,877,628,088,572 | arxiv | \section{Introduction}
Laser cooling is an effective tool to reduce the temperature of confined ions, particularly from temperatures of up to several thousands of kelvin down to the Doppler limit, which is commonly in the mK range \cite{ita,buch,dem,mett}.
For magnesium ions, this has been demonstrated under various ... |
2,877,628,088,573 | arxiv | \section{Introduction}\label{sec:introduction}
Energy management (or demand management) is a technique that changes the electricity usage patterns of end users in response to the changes in the price of electricity over time~\cite{Albadi-JEPSR:2008,Liu-STSP:2014}. With the advancement of distributed energy resources (D... |
2,877,628,088,574 | arxiv | \subsubsection{} #1
\bigskip}
\newcommand{\blockn}[1]{\par #1 \bigskip}
\newcommand{\blockp}[1]{\par #1}
\newcommand{\Th}[1]
{
\bigskip
\textbf{Theorem : }{\itshape #1}
\bigskip
}
\newcommand{\Prop}[1]
{
\bigskip
\textbf{Proposition : }{\itshape #1}
\bigskip
}
\newcommand{\Cor}[1]
{
\big... |
2,877,628,088,575 | arxiv | \section{Introduction}
Let $g_1, \dots, g_s \in \mathbb{R}[X_1,\dots,X_n]$ and consider
the basic closed semialgebraic set
$$
S = \{x \in \mathbb{R}^n \ | \ g_1(x) \ge 0, \dots, g_s(x) \ge 0 \}.
$$
Given $f \in \mathbb{R}[X_1,\dots,X_n]$ such that $f$ is non-negative on $S$, a classical
question is if there is a... |
2,877,628,088,576 | arxiv | \section{Introduction}
General Relativity is the favorite theory of gravitation, and it is
based on the equivalence principle, and in the end on the assumption
that the gravitational constant, $G$, is indeed constant. However,
this is just a hypothesis which needs to be verified. In fact, there
are several ... |
2,877,628,088,577 | arxiv | \section{Introduction}
Electrical conduction in organic semiconductors is typically interpreted in terms of temperature activated hopping of charge carriers. A seminal work\cite{Mot69} by Mott showed that the hopping conductivity follows a stretched exponential dependence on temperature,
\begin{align} \label{eq:1}
\si... |
2,877,628,088,578 | arxiv | \section{Introduction}
The ECG is often corrupted by different types of noise, namely, power line interference, electrode contact and motion artifacts, respiration, electrical activity of muscles in the vicinity of the electrodes and interference from other electronic devices. Analysis of noisy ECGs is difficult for... |
2,877,628,088,579 | arxiv | \section{Acknowledgements}
We thank the staff of the Collider-Accelerator and Physics
Departments at BNL for their vital contributions. We acknowledge
support from the Department of Energy and NSF (U.S.A.),
MEXT and JSPS (Japan), CNPq and FAPESP (Brazil), NSFC (China),
IN2P3/CNRS, CEA, and ARMINES (France),
BMBF, D... |
2,877,628,088,580 | arxiv | \section{Preliminaries}\label{sec:Setting}
\input{Generalities}
\section{On the continuity}\label{sec:RegularValues}
\input{Regular_Values}
\section{On the smoothness}\label{sec:Consequences}
\input{Consequences}
\subsection{The end-point map}In what follows we fix a point $x_0\in M$ and a time $T>0$.
\... |
2,877,628,088,581 | arxiv | \section{ Main theorems}
\setcounter{equation}{0}
\subsection{ The steady Euler equations with force}
Here we are concerned on the steady equations on $\Bbb R^N$ with
force.
\bb\label{main}
\left\{ \aligned & ( v\cdot \nabla ) v = -\nabla p +\Phi ,\\
&\mathrm{div} \, v=0,
\endaligned
\right.
\ee
w... |
2,877,628,088,582 | arxiv | \section*{\refname\markboth{\MakeUppercase{\refname}}{\MakeUppercase{\refname}}}%
\addcontentsline{toc}{section}{\refname}%
}
\def\<{\langle}
\def\>{\rangle}
\deft_w{t_w}
\deft_p{t_p}
\newcommand{\textgr}[1]{\textcolor{red}{#1}}
\newcommand{\textgx}[1]{\textcolor{black}{#1}}
\title{Spatial correlations of elementar... |
2,877,628,088,583 | arxiv | \section*{References}
\medskip
|
2,877,628,088,584 | arxiv |
\section{Introduction}
\input{sections/introduction}
\section{A model for sequence validity}
\input{sections/model_description}
\section{Online generation of synthetic training data}
\input{sections/active_learning}
\section{Experiments}
\input{sections/python}
\input{sections/molecules}
\section{Discussion}
\inpu... |
2,877,628,088,585 | arxiv | \section{Introduction}
Turbulent mean field dynamos are thought to be at the
heart of magnetic field generation and maintenance in
most astrophysical bodies, like the sun or the galaxy.
A particularly important driver of the mean field dynamo (MFD)
is the $\alpha$-effect which, in the kinematic regime,
depends only on... |
2,877,628,088,586 | arxiv | \section{Problems and motivation}\label{se:intro}
It is known that in Euclidean space every continuous global optimization problem on a compact set can be reformulated as a d.c. optimization problem, i.e.
a nonconvex problem which can be described in terms of {\em d.c. functions} (difference of convex functions) and ... |
2,877,628,088,587 | arxiv | \section*{Abstract}
Female moths attract male moths by emitting to the atmosphere a series of pheromone filaments propagating downwind. The filaments appear to be aggregated into clusters (patches) while moving. In order to find the female moth, the male moth senses the concentration of the pheromone (e.g. odour) dis... |
2,877,628,088,588 | arxiv | \section{Introduction}
\label{intro}
The electromagnetic emissivity of strongly interacting matter is a
subject of longstanding interest \cite{FeinbShur,ChSym}
and is explored in particular in
relativistic nucleus-nucleus collisions, where the photons (and
dileptons) measured experimentally provide a time-integra... |
2,877,628,088,589 | arxiv | \section{Introduction}
Soliton formation is an important and rich nonlinear phenomenon in various branches of physics. In many exactly solvable models, both classical and quantum mechanical ones, soliton plays a unique role. It is well known that the interacting bosons in one dimension (the Lieb-Liniger model) show an ... |
2,877,628,088,590 | arxiv | \section{Introduction}
\label{sec:introduction}
The physics of radiopulsars is still not fully understood despite
large effort of many theoreticians in this field. It is generally
assumed that radiopulsar has MHD-like magnetosphere which is very
close to the force-free stage -- the model firstly introduced by
\citet{... |
2,877,628,088,591 | arxiv | \section{Setting}
In order to understand iterative decoding of low-density-parity-check
codes (LDPC), two operations need to be studied. These operations
are the variable node convolution $\otimes$ and the check node
convolution $\boxtimes$. They correspond to the merging of information
respectively by variable nodes a... |
2,877,628,088,592 | arxiv | \section{Introduction}
\label{sec:intr}
The Higgs mechanism gives rise to clear and detectable signatures that can be probed at hadron colliders. The Tevatron is now leading a race~\cite{Collaboration:2009je}, that the LHC will soon join, to find this spinless particle. The most relevant searches for a SM Higgs boson ... |
2,877,628,088,593 | arxiv | \section{Introduction}
\label{submission}
Computer aided medical image analysis has become a critical component in the diagnosis and treatment of various diseases \cite{chakraborty2023overview,duncan2000medical}. Deep learning models, such as Convolution neural networks (CNNs), have shown exceptional performance in ana... |
2,877,628,088,594 | arxiv | \section{\label{sec:level1}Introduction}
The solid state structures seem quite promising to implement
quantum computers. The first proposal of the solid state quantum
computer based on quantum dots was put forward in 1998 by D. Loss
and P. DiVincenzo \cite{loss}. The quantum calculations were
offered to be performed on... |
2,877,628,088,595 | arxiv | \section*{Supplementary material}
\subsection*{The teacher/student example}
In this article we have described the conceptual significance of the theory using a detailed narrative of a student sitting a series of tests. Here we present a table relating all the symbols to each object in the narrative to aid the reader.
... |
2,877,628,088,596 | arxiv | \section{Introduction}
Group-level duality of $G(N)_K$ Chern-Simons theory \cite{r1,r2,r3,r4,r5} has provided a number of insights into the structure of topological theories. Properties of pairs of theories are tightly constrained by duality maps $G(N)_{K}\longleftrightarrow G(K)_N$, where $N$ is the dimension of the d... |
2,877,628,088,597 | arxiv | \section{Introduction}
\vspace{.1in}
\paragraph{} This paper is a companion to \cite{BS}, where a categorical approach to the rings of diagonal invariants
$$\boldsymbol{\Lambda} \hspace{-.06in} \boldsymbol{\Lambda}=\mathbb{C}[x_1^{\pm 1}, \ldots, y_1^{\pm 1}, \ldots]^{\mathfrak{S}_{\infty}}, \qquad
\boldsymbol{\Lamb... |
2,877,628,088,598 | arxiv | \section{Introduction}
\subsection{Monotone orbifold Hurwitz numbers} A sequence of transpositions $\tau_1,\dots,\tau_m\in S_d$, $\tau_i=(a_i,b_i)$, $a_i<b_i$, $i=1,\dots,m$, is called monotone if $b_1\leq b_2\leq \cdots\leq b_m$.
For the entire paper, fix a positive integer $q$. The disconnected monotone $q$-orbifol... |
2,877,628,088,599 | arxiv | \part{title}
\usetikzlibrary{arrows}
\newtheorem{theorem}{Theorem}
\newtheorem*{theorem17}{Theorem 17}
\newtheorem*{theorem18}{Theorem 18}
\newtheorem*{theorem28}{Theorem 28}
\newtheorem{corollary}[theorem]{Corollary}
\newtheorem{proposition}[theorem]{Proposition}
\newtheorem{lemma}[theorem]{Lemma}
\newtheorem{remark... |
2,877,628,088,600 | arxiv | \section{Introduction}
Let $\mathcal{K}$ be a class of first order structures in the same
signature, and let $\mathbf{A},\mathbf{B}\in\mathcal{K}$. We say
that $\mathbf{A}$ is an \emph{epic substructure} of $\mathbf{B}$
in $\mathcal{K}$ provided that $\mathbf{A}$ is a substructure of
$\mathbf{B}$, and for every ... |
2,877,628,088,601 | arxiv | \section{Introduction and Related Works}
The area of crowdsourcing for older adults is both underappreciated and underexplored and developing sustainable solutions for older adults is still challenging \cite{knowles2018wisdom,knowles2018older}.
This may be due to multiple barriers both specific to the required ICT-ski... |
2,877,628,088,602 | arxiv | \section{Introduction}
While Machine Learning technologies are increasingly used in a wide variety of domains ranging from critical systems to everyday consumer products, currently only a small group of people with formal training possess the skills to develop these technologies. Supervised ML, the most common type of ... |
2,877,628,088,603 | arxiv | \section{Introduction}
There are numerous reasons to study geometry and physics of noncommutative spaces. Besides the purely mathematical interest in geometries that may be associated to general, or to $C^\ast$-algebras,
spaces with noncommuting coordinates appear as effective in string theory and loop quantum gravit... |
2,877,628,088,604 | arxiv | \section{Introduction}
Elucidating the nature of the electroweak symmetry
breaking sector of the Standard Model (SM) is the main goal of the Large Hadron Collider currently running at CERN. It
is widely believed that the simplest scenario involving a single scalar Higgs field is untenable due to the fine tuning and tri... |
2,877,628,088,605 | arxiv | \section{Introduction}
Measurements are usually made to identify one out of a number of possibilities. In particular, in state discrimination measurements, in which the object is to determine which quantum state one has, the task is to design a measurement that will tell you exactly that, what the state of the system ... |
2,877,628,088,606 | arxiv | \section*{Introduction}
\setcounter{equation}{0}
The cohomology of quotients arising from
geometric invariant theory (GIT)
has been the object of much study.
In \cite{kir1} Kirwan used
the analyses of instability in the previous works of Hesselink
\cite{hes1}, Kempf \cite{kem1}, and Kempf-Ness \cite{kem-nes1} to
e... |
2,877,628,088,607 | arxiv | \section{Introduction \label{SEC:INTRO}}
It is well established that the presence of structured surfaces can have a profound impact on the phase behaviour and particularly, the freezing transition of atomic, molecular, and colloidal fluids.
Typical effects are shifts of the freezing transition with respect to the cor... |
2,877,628,088,608 | arxiv | \section{Introduction}
\subsection{Motivations}
The Coordinated Attack Problem (also known in the literature as
the two generals or the two armies problem) is a long time problem in
the area of distributed computing.
It is a fictitious situation where two armies have to agree to attack
or not on a common enemy tha... |
2,877,628,088,609 | arxiv | \section{Introduction} \label{s:intro}
The first step of planet formation is the growth of \micron-sized dust particles into km-sized planetesimals.
Planetesimals are believed to form through the collisional growth of dust particles into larger aggregates \citep[e.g.,][]{Okuzumi2012Rapid-Coagulati,Windmark2012Planetes... |
2,877,628,088,610 | arxiv | \section{Introduction}
W{ith} the development of remote sensing and hyperspectral sensors,
hyperspectral imaging has been widely adopted in many fields. However, due
to the low spatial resolution of hyperspectral sensors and the complexity of
material mixing process, an observed pixel may contain several different
mate... |
2,877,628,088,611 | arxiv | \section{Introduction}
The orbit of the Gaia mission has been chosen to be a controlled Lissajous orbit (amplitudes of 360,000 and 100,000 km along and perpendicular to the ecliptic) around the Lagrangian point L2 of the Sun-Earth system (about 1.5 million km in
anti-sun direction) in order to have a quiet environment ... |
2,877,628,088,612 | arxiv | \section{Introduction}
Assume that $\{y_t\dvtx t=0,\pm1,\pm2,\ldots\}$ is generated by the
ARMA--GARCH model
\begin{eqnarray}
\label{11}
y_t&=&\mu+\sum_{i=1}^p\phi_iy_{t-i}+\sum_{i=1}^q\psi_i\e_{t-i}+\e_t,
\\
\label{12}
\e_t&=&\eta_t\sqrt{h_t} \quad\mbox{and}\quad
h_t=\alpha_0+\sum_{i=1}^r\alpha_i\e_{t-i}^2+... |
2,877,628,088,613 | arxiv |
\section*{Acknowledgements}
The ALICE collaboration would like to thank all its engineers and technicians for their invaluable contributions to the construction of the experiment and the CERN accelerator teams for the outstanding performance of the LHC complex.
The ALICE collaboration acknowledges the following fu... |
2,877,628,088,614 | arxiv | \section{Introduction}
A consideration of both relativistic and many-body theories is necessary to sufficiently describe heavy atomic and molecular systems~\cite{DasRev, HandbookRQC}. Although there are many theoretical approaches to the evaluation of heavy atomic and molecular wave functions, the relativistic coupled-... |
2,877,628,088,615 | arxiv | \section{Introduction}
Visual data exploration plays a central role in the scientific discovery process; it is invaluable for the understanding and interpretation of data and results. From analysis to physical interpretation, most research tasks rely on or even require some kind of visual representation of data and co... |
2,877,628,088,616 | arxiv | \section{Introduction}
\setcounter{equation}{0}
The celebrated KAM theory is established by Kolmogorov \cite{Ko}, Arnold \cite{Ar} and Moser \cite{Mo}. It mainly concerns the stability of motions or orbits in dynamical systems under small perturbations and indeed has a long history of over sixty years. So far, as wel... |
2,877,628,088,617 | arxiv | \section{Introduction}
Spatial birth and death processes in which the birth and
death rates depend on the configuration of the system
were first studied by Preston (1975). His approach was
to consider the solution of the backward Kolmogorov
equation, and he worked under the restriction that there
were only a fi... |
2,877,628,088,618 | arxiv | \section{Introduction}
The goal of this brief communication is to illuminate the group theoretic origin of a certain
quadratic $r$-matrix structure on the associative algebra $\cG:= \gl(n,\R)$.
This Poisson structure is associated with the QU factorization
and it appeared in the theory of integrable systems \ci... |
2,877,628,088,619 | arxiv | \section{Introduction}
In this paper we continue the investigation of the infrared
structure of quantum electrodynamics based on an algebraic
model proposed earlier by one of us (see Ref.\ \cite{her98} and
papers cited therein; see also \cite{her05}). This model is
supposed to describe asymptotic fields in the q... |
2,877,628,088,620 | arxiv | \section{Introduction}
\label{sect:intro}
The field of \textit{warm dense matter} (WDM) rests in the transitional regime
between traditional condensed phase systems and strongly-correlated,
fully-ionized plasmas. As such, it draws from the complexity of both fields
while showing its own special fundamental and, as we ... |
2,877,628,088,621 | arxiv | \section{Introduction}
\end{onehalfspace}
\begin{onehalfspace}
\vspace{7 mm}Dielectric elastomers (DEs) are materials that deform
under electrostatic excitation. Due to their light weight, flexibility
and availability these materials can be used in a wide variety of
applications such as artificial muscles \cite... |
2,877,628,088,622 | arxiv | \section{Introduction}
Simulating the dynamics of quantum systems is a major potential application of quantum computers, and is the original motivation for quantum computation~\cite{Feynman1982}. Moreover, the existence of efficient classical algorithms for this problem is unlikely as it is \textsc{BQP}-complete~\cite{... |
2,877,628,088,623 | arxiv | \section{Conclusion}
\label{sec:con}
In this paper, we proposed a novel junction detector ASJ which exploits the anisotropy of junctions via estimating the endpoints (length) of branches for isotropic scale junctions for indoor images which are dominanted by junctions in a more global manner. We then devised an affine ... |
2,877,628,088,624 | arxiv | \section{Introduction}
Direct collapse black holes (DCBH) have gathered much attention recently \citep{Dijkstra2014a,Ferrara14a,Agarwal12,Agarwal14,Habouzit16a} as a plausible solution to the problem of forming billion solar mass black holes very early in cosmic history as is required to explain the existence of very... |
2,877,628,088,625 | arxiv | \section{Introduction}
\label{intro}
The research of dust growth in the disc of young stellar objects is motivated
from the observations of dust in the interstellar medium (ISM):
\cite{kemper2004} showed that the crystalline fraction of the ISM dust is
smaller than 2\%, and the size of the amorphous silicates is small... |
2,877,628,088,626 | arxiv | \section{Introduction}
\label{sec:intro}
The EPOXI Mission of Opportunity is a re-purposing of the Deep Impact flyby spacecraft, and comprises the Extrasolar Planet Observation and Characterization (EPOCh) investigation and the Deep Impact eXtended Investigation (DIXI). The primary goal of EPOCh was to scrutinize a sm... |
2,877,628,088,627 | arxiv | \section{Introduction}%
\vspace{0.3cm}
\par The problem of finding the number of solutions over a finite field of a polynomial equation has been of interest to mathematicians for many
years. A typical result in this direction is the \emph{Hasse-Weil bound}, which states that a smooth projective curve
of genus $g$ de... |
2,877,628,088,628 | arxiv | \section{Introduction}
The anomalous magnetic moment of the muon $a_\mu = (g - 2)_\mu / 2$ is one of the most precisely measured physical quantities.
Its current value from the Brookhaven National Laboratory E821 experiment is \cite{BNLg-2, BNLg-2_develop}
\begin{equation}
a_\mu(\mbox{exp}) = (11~659~208 \pm 6) \times ... |
2,877,628,088,629 | arxiv | \section{Introduction}
\label{sec:intro}
In this paper we study the distributed optimization problem, in which each agent in a network of $n$ agents calculates a decision vector that minimizes a global additive objective function of the form $f(\cdot)=\sum_i f_i(\cdot)$, where $f_i$ denotes the local convex objective... |
2,877,628,088,630 | arxiv | \section{1.\ Introduction}
\smallskip\noindent
In the last few years the explicit construction of $\cal W$-algebras
$\q{1}$ has also reached the fast developing field of $N=2$
supersymmetric conformal field theories (SCFTs) \q{2-7}.
{}From a two dimensional quantum-gravity point of view $N=2$ SCFTs
are very important s... |
2,877,628,088,631 | arxiv | \section{Introduction}
Environments with (locally) planar-layered profiles are encountered in diverse applications such as geophysical exploration, ground penetrating radar, conformal antenna design, and so on~\cite{sainath,sainath3,lambot1}. To facilitate electromagnetic (EM) radiation analysis in such environments,... |
2,877,628,088,632 | arxiv | \section{Introduction}
One of the most useful derivatives of a ground-state density functional theory (DFT) calculation is
the Kohn-Sham (KS) eigenvalues\cite{Kohn1965}, which lead to a \emph{non-interacting} spectrum.
Even though the KS equations represent an auxiliary non-interacting system
whose states and eigenva... |
2,877,628,088,633 | arxiv | \section{Introduction}
It is well known that a $N$-dimensional real symmetric [complex
hermitian] matrix $V$ is congruent to a diagonal matrix modulo
an orthogonal [unitary] matrix\cite{[1]}. That is, $V=S^\dagger
D S$ where $ D$ is diagonal and $S\in SO(N)$ [$S\in SU(N)$]. If,
in addition, $V$ is also positive definit... |
2,877,628,088,634 | arxiv | \section{Introduction}
In \cite{luddea}, a method for "lifting" representations from the Artin braid group on $n+1$ strands $B_{n+1}$ to the Artin braid group on $n$ strands $B_n$ is given by Lüdde and Toppan.
Based on this method, we construct a variant of the Burau representation of the virtual braid group on $n$... |
2,877,628,088,635 | arxiv | \section{Proofs}
\subsection{Lemma \ref{thm:gradient-flow}}
\label{subsec:proof_gradient-flow}
\begin{proof}
Gradient flows in the Wasserstein space are of the form of the continuity equation (see \citet{ambrosio2008gradient}, page 281), i.e,
\begin{align}
\partial_t\rho_t + \nabla\cdot(\rho_t {\mathbf{v}}) = 0.
... |
2,877,628,088,636 | arxiv | \section{Appendix A: Global and local scale transformations on the lattice}
MERA is a tensor network representation of many-body wave-functions that, upon optimization, approximates ground states of local Hamiltonians. Fig.~\ref{fig:global} shows MERA networks for one-dimensional systems. The open indices of the netw... |
2,877,628,088,637 | arxiv | \section{Equations of motion and boundary conditions}
Here we present a more detailed description of the derivation of the amplitude equations describing two-photon scattering off a single atom. The Hamiltonian for a single emitter is given by
\begin{equation}
\begin{split}
\hat{h} = \int {\rm d}x (-i)\hat{c}^{\dagge... |
2,877,628,088,638 | arxiv | |
2,877,628,088,639 | arxiv | \section{Introduction}
Einstein manifolds are related with many questions in geometry and physics, for instance: Riemannian functionals and their critical points, Yang-Mills theory, self-dual manifolds of dimension four, exact solutions for the Einstein equation field. Today we already have in our hands many examples... |
2,877,628,088,640 | arxiv | \section{Introduction}
Differential equations and their solutions in the complex plane have been studied extensively since the 19th century. A main motivation then was that new transcendental functions could be defined and studied as the solutions of certain differential equations. For example, Airy's equation, Bessel'... |
2,877,628,088,641 | arxiv | \section{Introduction}
One of the most appealing and natural mechanisms for generating the
tiny neutrino masses experimentally allowed is the (type I) see-saw
mechanism \cite{ss}. This simple extension of the Standard Model (SM)
with two or three right-handed Majorana neutrinos provides also
a very attractive origin... |
2,877,628,088,642 | arxiv | \section{Introduction}
The motion of particles in curved backgrounds is essential for the understanding of various gravitational phenomena. Among these we may distinguish the study of black hole shadows \cite{Synge,Maeda,Mann,Haitang} or aspects of the gravitational memory effect \cite{Gib1,Gib2,Shore,Chakra}, both of... |
2,877,628,088,643 | arxiv | \section{Introduction and Main Results}
\noindent Throughout this article, we assume the readers are familiar with
the fundamental results and standard notations of the Nevanlinna
distribution theory of meromorphic functions such as $m(r,f),$ $N(r,f),$
M(r,f),$ $T(r,f),$ which can be found in $\left[ 13,14,25\rig... |
2,877,628,088,644 | arxiv | \section{Introduction}\label{sec:intro}
The flux density is one of the main observables of pulsars. The analysis of pulsars spectra provide information on both the radiation mechanism and the influence of the interstellar medium. The spectra of the majority of pulsars in frequency range between 100~MHz and 10~GHz are ... |
2,877,628,088,645 | arxiv | \section{Introduction}
Let $f:X\to Y$ be a semistable family of $n$-dimensional projective manifolds over a projective $m$-fold $Y$.
Let $\sL$ be a line bundle on $X$. The volume of $\sL$ is defined as
$$
v(\sL)=\limsup \frac{\dim(X)! \cdot \dim(H^0(X,\sL^\nu))}{\nu^{\dim(X)}}.
$$
If $\sL$ is nef, then \cite[L... |
2,877,628,088,646 | arxiv | \section{Introduction}\label{intro}
An inspection of planetary and satellite orbital data in the solar system\footnote{{\tt https://ssd.jpl.nasa.gov}, {\tt https://solarsystem.nasa.gov}\label{ft1}} reveals that major objects seem to cluster at intermediate areas of the radial distributions of orbiting bodies, and only... |
2,877,628,088,647 | arxiv | \section{Introduction}
A crucial prerequisite for the use of clusters of galaxies for cosmological
studies is the knowledge of the scaling relations between cluster mass and an
observable proxy, such as X-ray luminosity, or X-ray gas temperature.
These relations
must be calibrated at varying redshifts, usin... |
2,877,628,088,648 | arxiv |
\section{Our System and Model (Gated BERT-UNet)}
\input{source/fig/model}
The proposed oxygen estimation solution operates in two steps: (1) Extracting breathing signals from RF signals and (2) Estimating SpO2 from breathing signals. Please refer to Appendix \ref{sup:br-from-rf} for the details of step one. We foc... |
2,877,628,088,649 | arxiv | \section{Introduction}
The use of digital images has become increasingly ubiquitous in all types of publications. What comes with the growing importance of digital images is the development of image tampering techniques. In the past, modifying or concealing the content of an image would require dedicated personnel an... |
2,877,628,088,650 | arxiv | \section{Introduction} \label{sec:intro}
Microlensing event observation is a useful method for exoplanet research. Some wide-orbit bound planets and candidate free-floating planets (FFPs) have been found in recent decades (\citealt{Beaulieu2006, Gould2006, Muraki2011, Sumi2011, Sumi2013, Mroz2018}). A single observati... |
2,877,628,088,651 | arxiv | \section{Introduction}
Hundreds of exoplanets have been discovered around a variety of stars, from small M dwarfs out to large G giant stars, to tight orbits around pulsars. The conclusion is clear that planet formation is a robust process in our galaxy. A corollary to this conclusion is the idea that observable evid... |
2,877,628,088,652 | arxiv | \section*{Abstract}
Data collected in criminal investigations may suffer from:
\begin{enumerate*}[label=(\roman*)]
\item incompleteness, due to the covert nature of criminal organisations;
\item incorrectness, caused by either unintentional data collection errors and intentional deception by criminals;
\item inconsiste... |
2,877,628,088,653 | arxiv | \section{Introduction}
\ \ The key object of the up-to-date circuit QED is the system comprised of
a qubit coupled to the quantum transmission-line resonator \cite{Koch07}.
Such systems are useful for both studying fundamental quantum phenomena and
for quantum information protocols including control, readout, and... |
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