original_id int64 0 931k | chunk_id int64 0 166 | domain stringclasses 6
values | text stringlengths 3 21.6k |
|---|---|---|---|
46 | 7 | arxiv | j) \ \hbox{and} \vspace*{4 pt} \\ \hspace*{100 pt}
d (j, \eta_{t-} (x + 1 )) = s_+ \ \hbox{and} \ x - 1 \to_t x) \vspace*{4 pt} \\ \hspace*{25 pt} = \
\card \{i_+ : d (i_-, i_+) = s \ \hbox{and} \ d (i_+, j) = s_+ \} / \card \{i_+ : d (i_+, j) = s_+ \} \end{array}
\end{equation}
where the last ... |
46 | 8 | arxiv | _0 (e - 1 /2 ) = i) \vspace*{4 pt} \\
& = & \sum_{i \in V} \, F^{-1 } \, h (s) \, P \, (\eta_0 (e - 1 /2 ) = i) \ = \ F^{-1 } \, h (s). \end{array} $$
Using also Lemma~\ref{lem:coupling}, we get
$$ \begin{array}{rcl}
E \, (\cont (e \, | \, T_e < \infty)) & \geq & \sum_{k > 0 } \... |
46 | 9 | arxiv | 2 r} \, b \, (b - 1 )(2 r - s + 1 ) \vspace*{4 pt} \\
& = & - \ b \, (2 r - b + 3 ) \, \tau - (b/2 )(b - 3 ) \, \tau \, (\tau + 1 ) \vspace*{4 pt} \\ &&
+ \ b \, (b - 1 )(2 r + 1 ) \, \tau + (b/2 )(b - 1 )(2 \tau \, (2 \tau + 1 ) - 3 \tau \, (3 \tau + ... |
46 | 10 | arxiv | 2 $. Then,
$$ P \, (Z \geq K) \ = \ \sum_{a = K}^{s_-} {s_- \choose a}{d - s_- \choose s_+ - a}{d \choose s_+}^{-1 } \leq \ 1 /2. $$
\end{lemma}
\begin{proof}
The proof is made challenging by the fact that there is no explicit expression for the cumulative distribution function of the hypergeometric random vari... |
859 | 0 | arxiv | \section{Proof of the First Zonklar Equation}
\ifCLASSOPTIONcaptionsoff
\newpage
\fi
\input{. /section/6 _Bibliography}
\begin{IEEEbiography}[{\includegraphics[width=1 in, height=1.25 in, clip, keepaspectratio]{. /fig/6 _Bibliography/alessandro_betti. jpg}}]{Alessandro Betti}
Dr. Alessandro ... |
859 | 1 | arxiv | shall see in greater detail in the next section, the output of our proposed procedure is a newly proposed KPI, which monitors the functioning of the hydropower plant. In particular, a warning is triggered when the KPI drops below a threshold and an automatic notification is sent to the operator. The operator, guide... |
859 | 2 | arxiv | 7, .855 } A & 2 & 01 /25 /2018 & Efficiency Parameters & Low & Weather anomalies effects \\
\hline
\rowcolor[rgb]{ .886, .937, .855 } A & 1 & 07 /02 /2019 & Supports Temperature & Low & Under investigation \\
\hline
\rowcolor[rgb]{ .886, .937, .855 } A & 3... |
859 | 3 | arxiv | and statistical data analysis, with main applications on modeling and monitoring the behaviour of renewable power plants. Currently, he is working on big data analysis applied on hydro power plants signals.
\end{IEEEbiography}
\begin{IEEEbiography}[{\includegraphics[width=1 in, height=1.25 in, clip, keepaspectr... |
753 | 0 | arxiv | \section{ Introduction}
Nuclear collision experiments, performed at ion accelerators, are a very
powerful tool to study nuclear properties at low and intermediate
energies. In order to interpret accumulated experimental data appropriate
theoretical methods are necessary enabling the simultaneous description of t... |
753 | 1 | arxiv | orshkov:61 }, i. e.,
\begin{equation} \label{eq:gorshkov}
\lim_{R \to \infty} (1 + g_0 t_R) |\mathbf{p} \rangle z_R^{-\frac12 }(p)
= |\psi_C^{(+)}(\mathbf{p}) \rangle. \end{equation}
The screening and renormalization method based on the above relations
can be extended to more complicated systems, albeit... |
753 | 2 | arxiv | and renormalization method depends
very much on the choice of the screening function, in our case on the power
$n$ in Eq. ~(\ref{eq:wr}). We want to ensure that the
screened Coulomb potential $w_R$ approximates well the true Coulomb one
$w_C$ for distances $r<R$ and simultaneously vanishes rapidly for $r>R$,
pro... |
753 | 3 | arxiv | \rho \rightarrow \infty )\right] ^{CS}
&\propto &\exp (-K\rho \sin \theta ) . \nonumber
\end{eqnarray}
Nevertheless an incoming wave diverges in $y_{\alpha }$ after the complex
scaling:
\begin{equation}
\left[ \phi _{\alpha }^{i_{\alpha }, out}(y_{\alpha }\rightarrow \infty )%
\right] ^{CS}\propto \exp (+q_{i_{... |
753 | 4 | arxiv | accuracy as shown in Ref. ~\cite{deltuva:07 d}.
The semi-inclusive differential cross section for the
breakup reaction $p + {}^{11 }$Be $\to p + n + {}^{10 }$Be
was calculated also using two CDCC versions where the full scattering wave function
was expanded into the eigenstates of either the $n + {}^{10 }$Be (CDCC-... |
987 | 0 | arxiv | \section{Introduction}
\label{sec:intro}
The gravitational scattering of classical objects at large impact parameter $b$ is relevant for the study of the inspiral phase of black-hole binaries since it can be used to determine the parameters of the Effective-One-Body description (see~\cite{Damour:2016 gwp} and refere... |
987 | 1 | arxiv | _2 $ couples to another vector and another scalar with a strength depending to the other component of the KK momentum,
\begin{equation}
B_3 ^\mu = - i \kappa m_2 \sqrt{2 } (p_2 -k_2 )^\mu \sin\phi\,, \qquad B_3 = - i \kappa 2 m_2 ^2 \sin^2 \phi \,. \label{2.3 b}
\end{equation}
There is also an extra scala... |
987 | 2 | arxiv | \mu}{\bar{p}_2 k}\right],
\label{2.10 }
\end{align}
while for the two scalars we get
\begin{eqnarray}
{\tilde{A}}_5 \simeq{i \frac{\kappa m_1 ^2 \beta(\sigma)(\pi b^2 )^{\epsilon}}{ b^2 \sqrt{\sigma^2 -1 }} } \frac{(k b)}{(\bar{p}_1 k)^2 } \,, \qquad
{\tilde{B}}_5 \simeq - {i \frac{\kappa m_2 ^2 \beta(\sigma... |
987 | 3 | arxiv | in pure GR follows exactly the same steps with only the contribution of the graviton and yields again the result in Eq. ~\eqref{3.2 } just with the prefactor $({\beta}^{GR}(\sigma))^2 $ in place of ${\beta}^2 (\sigma)$. Then, assuming that Eq. ~\eqref{1.5 } is also valid in GR, we get
\begin{equation}
({\rm Re... |
395 | 0 | arxiv | \section{Introduction}
\subsection{Innermost stable circular orbits in General Relativity}
Let us consider a classical test non-spinning particle moving at stable circular orbit around a central massive body. In Newtonian theory, this orbit can have arbitrary radius. This follows from the fact that the effective p... |
395 | 1 | arxiv | }, \cite{Rasband1973 }
\begin{equation}
(\Sigma_s \Lambda_s \dot r)^2 =\alpha_s E^2 -2 \beta_s E +\gamma_s,
\label{rad-motion}
\end{equation}
where
\begin{equation}
\begin{split}
&\alpha_s = \left[r^2 + a^2 + \frac{a s (r + M)}{r} \right]^2 - \Delta (a + s)^2, \\
&\beta_s = \left[ \left(a + \frac{M s}{r}... |
395 | 2 | arxiv | to the spin of the test-particle is calculated numerically, see right picture on Fig. 2 in \cite{Favata2011 } and the sixth column in Table I in \cite{Favata2011 }. Our analytical results (with appropriate change of variables) agree with calculations of paper of Favata: value of $\Omega_0 $ for given $a$ (see first... |
82 | 0 | arxiv | \section{Introduction}
At the meeting of the American Mathematical Society in Hayward, California, in April 1977, Olga Taussky-Todd \cite{TausskyTodd} asked whether one could characterize the values of the group determinant when the entries are all integers. For a prime $p, $ a complete description was obtained... |
82 | 1 | arxiv | gives
$A=(5 -16 m)$, $B=1 $, $C=-1 $, $D=p$ achieving $(5 -16 m)p^2 $.
\vskip0.1 in
\noindent
{\bf Case 2 }: $\alpha_1 $, $\alpha_2 $ are odd, $\alpha_3 $, $\alpha_4 $ are even.
In this case $a_0 $, $a_2 $ will have opposite parity and $b_0 $, $b_2 $ the same parity.
Since $Y$ is odd we must have $\bet... |
915 | 0 | arxiv | \section{Introduction}
Inspired by Shannon’s classic information theory \cite{shannon1948 mathematical}, Weaver and Shannon proposed a more general definition of a communication system involving three different levels of problems, namely, (i) transmission of bits (the technical problem); (ii) semantic exchange of ... |
915 | 1 | arxiv | average precision (mAP), F-measure, and mean absolute error (MAE). It is noted that road segmentation in the autonomous driving application can be evaluated via pixel accuracy, and mean pixel accuracy (MPA). However, the trade-off between accuracy and latency remains to be an important challenge to solve.
... |
1,041 | 0 | arxiv |
\section{Supplementary Material}
\begin{figure}[!h]
\raggedright
\includegraphics[width=0.48\linewidth]{plength}
\includegraphics[width=0.48\linewidth]{pmom}
\includegraphics[width=0.48\linewidth]{p_mlike}
\includegraphics[width=0.48\linewidth]{rtot2}
\includegraphics[wid... |
1,448 | 0 | arxiv | \section{Introduction}
OODIDA is a modular system for concurrent distributed data analytics for the automotive domain, targeting fleets of reference vehicles~\cite{ulm2019oodida}. Its main purpose is to process telemetry data at its source as opposed to transferring all data over the network and processing it on a cent... |
353 | 0 | arxiv | \section{Introduction}
Gas dynamical processes are believed to play an important role in
the evolution of astrophysical systems on all length scales.
Smoothed particle hydrodynamics~(SPH) is a powerful gridless
particle method to solve complex fluid-dynamical problems. SPH
has a number of attractive features such as i... |
262 | 0 | arxiv | \section{{\label{sec:intro}} Introduction}
Understanding of the steady state of non-equilibrium systems is the subject of intense research. The typical situation is a solid in contact with two heat baths at different temperature. At the difference of equilibrium systems where the Boltzmann-Gibbs formalism provides a... |
262 | 1 | arxiv | and will not have any effect on the hydrodynamical scales and the slow observables which are locally conserved by the dynamics and need much longer times to relax. We can then replace the term $<\phi_{[Nq]} (t)>$ by $\lambda_{{\bar r}_q (t), {\bar e}_q (t)} (\phi_0 )$. By equivalence of ensembles, in the thermodynami... |
262 | 2 | arxiv | KL}): we perturb the dynamics in such a way that the prescribed paths become typical and we compute the cost of such perturbation. \\
Fix a path ${\mathcal Y} (t, \cdot)=(u(t, \cdot), {\varepsilon} (t, \cdot))$. The empirical deformation profile ${\mathcal R}^N_t$ and empirical energy profile ${\mathcal E}_t^N$ are ... |
262 | 3 | arxiv | \begin{equation*}
V(\pi)=\inf_{t >0 } \inf_{\ensuremath{\mathcal A}_{t, \pi}} J_{[0, t]}(u, \varepsilon) \leq S(\pi)
\end{equation*}
This inequality with (\ref{eq:firstinequality}) shows that $V(\pi)=S(\pi)$.
It remains to prove that such ``good'' path exists. The proof is similar to \cite{BL3 } and we shall me... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.