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BkiUbVk4ukPiEYTwk8ck | \section{Comparison of the Topologies}\label{sec:comparative}
In this section a comparison of the topologies presented in previous Sections \ref{sec:projective} and \ref{sec:topologies} is done in terms of the cost model presented in Section \ref{sec:model}. The section is divided into three subsections. The first on... | -58,633.197494 | [
-1.5458984375,
1.3447265625
] | 52.211796 | [
-3.107421875,
1.498046875,
-0.5078125,
-3.5859375,
-1.2939453125,
5.55859375
] | [
-0.404052734375,
5.52734375,
0.60595703125,
4.34765625
] | 895 | 10,892 | [
-2.828125,
2.779296875
] | 35.902733 | [
-5.3984375,
-2.37890625,
-1.4345703125,
-0.99609375,
1.4716796875,
7.3203125
] | 0.513832 | 40.182055 | 21.34275 | 8.059164 | [
1.7447729110717773
] | -32,783.534857 | 5.539019 | -56,747.351998 | 0.546982 | 6.316833 | [
-3.244140625,
-3.048828125,
-2.5625,
-4,
2.50390625,
9.8828125
] | [
-6.25390625,
-1.25390625,
-1.3291015625,
-0.787109375,
3.25,
3.384765625
] | |
BkiUdH84eIXhzGirC1ri | \section{Introduction}
\maketitle
In insurance risk theory, the claim arrivals are modeled by a
compound Poisson process. The total claim up to time $t$ is given
by
\begin{equation}\label{eq:claim}
X_t=X_0+ \sum_{k=1}^{N_t}Y_k, \quad t \geq 0,
\end{equation}
where the number of claims up to time $t$, $N_t$, is a Pois... | -84,833.442688 | [
-3.095703125,
2.87890625
] | 16.756757 | [
-2.984375,
0.8408203125,
-2.271484375,
-5.73828125,
-0.7451171875,
8.203125
] | [
1.013671875,
6.7734375,
-0.311279296875,
4.4765625
] | 375 | 7,900 | [
-3.421875,
3.947265625
] | 35.027719 | [
-5.875,
-4.2421875,
-5.19921875,
-2.744140625,
2.06640625,
13.28125
] | 1.054189 | 8.767929 | 20.278481 | 3.001509 | [
1.5103315114974976
] | -52,514.79247 | 6.243924 | -84,636.691191 | 1.131226 | 6.039177 | [
-1.9140625,
-3.19921875,
-3.654296875,
-5.1796875,
2.0546875,
11.9609375
] | [
-5.7890625,
-1.69140625,
-2.197265625,
-1.06640625,
3.537109375,
4
] | |
BkiUfio5qhDCeBHYsg2T | \section{Introduction}
\subsection{Motivation}
Recent progress in the joint program on quantum information and holography has uncovered striking connections between entanglement and spacetime. Arguably, the most exciting discovery in this context, and the one which ignited most of the research in this field, was the p... | -103,893.581518 | [
-3.2421875,
2.94140625
] | 30.368098 | [
-2.365234375,
0.64990234375,
-2.015625,
-5.3359375,
-1.1728515625,
7.96484375
] | [
4.82421875,
8.984375,
2.484375,
6.32421875
] | 1,024 | 21,471 | [
-2.76953125,
3.068359375
] | 28.472482 | [
-5.98828125,
-5.1796875,
-6.1875,
-2.4609375,
2.33984375,
14.9765625
] | 0.746994 | 13.205941 | 15.25779 | 3.118469 | [
1.8061950206756592
] | -56,865.546663 | 5.704951 | -105,071.854983 | 0.444114 | 6.280355 | [
-1.962890625,
-3.6875,
-3.96875,
-5.11328125,
2.115234375,
12.5703125
] | [
-5.54296875,
-2.505859375,
-2.166015625,
-1.3408203125,
4.09375,
5.7421875
] | |
BkiUbuvxK1ThhAqzVPKk | \section{Introduction}
The parquet approximation (or generalized ladder approximation)
was introduced by Landau, Abrikosov and Khalatnikov in their
famous consideration of the high energy behavior in quantum
electrodynamics \cite{LAK}. Later on this approximation has been used
for various models of quantum field theo... | -76,973.884864 | [
-2.7578125,
2.58984375
] | 14.536741 | [
-2.681640625,
1.0654296875,
-1.6826171875,
-4.98828125,
-1.234375,
7.203125
] | [
2.853515625,
8.7578125,
2.14453125,
5.5703125
] | 1,558 | 3,363 | [
-3.41015625,
4.10546875
] | 51.605036 | [
-4.57421875,
-2.951171875,
-3.33203125,
-2.458984375,
0.6025390625,
9.8203125
] | 1.191196 | 8.972424 | 36.663693 | 32.320613 | [
1.6385242938995361
] | -59,110.388168 | 7.863217 | -75,436.453279 | 2.507185 | 6.106034 | [
-2.107421875,
-2.98046875,
-3.265625,
-4.40625,
1.833984375,
11.1015625
] | [
-5.08203125,
-1.2431640625,
-2.12109375,
-0.70556640625,
2.962890625,
3.392578125
] | |
BkiUd1A4ubnhDUDYxPh3 | \section{Introduction}
The price formation process in financial markets involves equating supply and demand for securities over time for arriving investors with heterogeneous trading preferences. In present day markets, large investors act on their underlying trading preferences, sometimes called {\em parent demands}... | -100,303.561604 | [
-3.361328125,
3.029296875
] | 37.334934 | [
-2.646484375,
0.1903076171875,
-2.67578125,
-6.40625,
-0.6630859375,
8.8203125
] | [
3.958984375,
7.9453125,
2.419921875,
7.84765625
] | 600 | 10,366 | [
-3.119140625,
3.5703125
] | 32.707924 | [
-6.015625,
-4.12109375,
-5.19140625,
-2.818359375,
2.21875,
13.5
] | 0.410566 | 24.224609 | 18.039745 | 3.07918 | [
1.6867109537124634
] | -66,626.940445 | 6.226606 | -100,464.837597 | 0.658455 | 6.242094 | [
-2.884765625,
-3.333984375,
-3.51953125,
-4.73046875,
2.4140625,
11.5390625
] | [
-5.4453125,
-2.1796875,
-2.435546875,
-1.78125,
3.658203125,
5.046875
] | |
BkiUbbA5qoTDtpFhrZ55 |
\section{Introduction}
Huddled around television sets or with ears clung to radio receivers, people all around the world heard Neil Armstrong utter the words: ``[t]hat's one small step for man; one giant leap for mankind.'' This landmark event took place on July 21, 1969. The date denotes the day on which the landing ... | -14,655.041308 | [
-2.810546875,
2.88671875
] | 47.787611 | [
-3.740234375,
0.3408203125,
-2.494140625,
-5.99609375,
0.10015869140625,
8.859375
] | [
7.15234375,
4.87109375,
3.6171875,
8.6953125
] | 257 | 4,609 | [
-3.15234375,
3.4921875
] | 23.277627 | [
-5.7578125,
-3.052734375,
-3.923828125,
-2.296875,
1.8388671875,
11.3359375
] | 0.567026 | 28.224743 | 27.967021 | 2.510531 | [
3.386331796646118
] | -12,092.932292 | 5.548275 | -14,421.757164 | 0.508369 | 5.968288 | [
-3.763671875,
-3.26953125,
-2.240234375,
-3.34765625,
2.912109375,
8.984375
] | [
-6.30859375,
-3.658203125,
-3.1171875,
-2.56640625,
4.5625,
8.3984375
] | |
BkiUf10241xiQRY-TTQW |
\section{Introduction}
We consider methods for variational inequality problems where only a \emph{random perturbation} of the operator is available. In such problems, we have a closed convex set $X\subset\mathbb{R}^d$, a distribution $\mathbf{P}$ over a sample space $\Xi$ and a measurable random operator $F:\Xi\times... | -187,383.207522 | [
-2.9296875,
2.634765625
] | 26.806212 | [
-3.732421875,
0.3779296875,
-1.974609375,
-7.30078125,
-0.94287109375,
9.359375
] | [
3.458984375,
8.6015625,
-0.53759765625,
6.0078125
] | 928 | 13,783 | [
-3.5703125,
4.01953125
] | 30.700837 | [
-6.22265625,
-4.49609375,
-5.234375,
-2.79296875,
2.310546875,
14.234375
] | 0.395065 | 11.647442 | 22.542262 | 2.003517 | [
1.9289506673812866
] | -110,428.759486 | 8.356018 | -186,301.03324 | 0.401143 | 6.440269 | [
-2.203125,
-3.6171875,
-4.2578125,
-5.4609375,
2.107421875,
12.890625
] | [
-5.90234375,
-2.212890625,
-2.119140625,
-1.541015625,
3.806640625,
4.76171875
] | |
BkiUakTxK0-nUGYe3mp8 | \section{Introduction}
Superstring theories are theories without ultraviolet divergences.
They contain both gravitational and gauge interactions as low
energy limits\cite{1, 2}. Thus they offer a possible solution to
the problem of unifying all of the fundamental interactions in a
consistent quantum theory. In string t... | -57,107.821092 | [
-2.783203125,
2.728515625
] | 16.207951 | [
-2.330078125,
0.79443359375,
-2.138671875,
-4.59375,
-1.20703125,
7.0546875
] | [
1.5185546875,
8.8515625,
1.5234375,
4.9296875
] | 387 | 5,830 | [
-3.140625,
3.66796875
] | 30.741263 | [
-5.5546875,
-4.1796875,
-4.46484375,
-2.056640625,
1.4912109375,
11.7109375
] | 1.759631 | 9.517154 | 16.26072 | 1.853486 | [
3.366582155227661
] | -38,661.13407 | 6.540823 | -57,084.648924 | 0.818189 | 5.42367 | [
-2.154296875,
-3.380859375,
-3.505859375,
-4.65625,
1.921875,
11.609375
] | [
-5.28125,
-0.72802734375,
-2.0625,
-0.325439453125,
2.89453125,
2.841796875
] | |
BkiUdb85qoTBC5y2Lxf0 |
\subsection{Estimation of flight $CO_2${} equivalent}
Most $CO_2${} equivalent emissions during a flight ($E_{flight}$) is associated with the combustion of the fuel whose quantity depends on the category of aircraft, the flying distance as well as the different phases of the flight.
Flights are usually decoupled in... | -19,804.150003 | [
-1.1220703125,
1.28125
] | 56.462585 | [
-3.203125,
0.81201171875,
-1.10546875,
-3.7421875,
-0.227783203125,
5.125
] | [
0.46484375,
6.05078125,
2.931640625,
5.08203125
] | 284 | 4,678 | [
-2.55078125,
2.82421875
] | 24.796047 | [
-5.10546875,
-2.017578125,
-1.7041015625,
-1.2578125,
1.205078125,
7.2265625
] | 0.651478 | 21.293094 | 26.934587 | 3.564593 | [
3.5385026931762695
] | -16,042.009897 | 5.742198 | -19,275.471236 | 1.310401 | 5.953349 | [
-3.9921875,
-3.18359375,
-1.7255859375,
-2.771484375,
3.0546875,
7.70703125
] | [
-5.703125,
-1.669921875,
-1.4833984375,
-1.115234375,
3.451171875,
4.21484375
] | |
BkiUf7HxK7FjYHGH2qKb | \section{Introduction}
The physics of phase transitions and phase stability of alloys is
often couched in terms of
statistical mechanics models on the generalized
(long-range pair and multibody interactions) Ising
lattice and computed most accurately with Monte Carlo
(MC) methods \cite{Binderbook}. These are time c... | -28,256.848034 | [
-3.3828125,
3.05078125
] | 22.027972 | [
-2.54296875,
0.07012939453125,
-2.28515625,
-5.80859375,
-0.7314453125,
8.8046875
] | [
2.515625,
7.7421875,
2.3125,
5.46484375
] | 299 | 5,137 | [
-3.0078125,
3.4296875
] | 26.906345 | [
-6.125,
-4.69921875,
-4.5234375,
-2.005859375,
2.1484375,
12.6796875
] | 1.268123 | 14.411189 | 20.848744 | 1.15863 | [
2.404294967651367
] | -20,761.639727 | 5.249951 | -27,868.82608 | 0.915866 | 5.711069 | [
-2.595703125,
-3.578125,
-3.267578125,
-4.296875,
2.369140625,
11.296875
] | [
-5.4609375,
-2.3359375,
-2.2109375,
-1.107421875,
3.51953125,
4.59375
] | |
BkiUa9PxK7Ehm4VQtm2l | \section{Introduction}
\label{sec:intro}
The mechanism by which the most massive stars form, and whether there is an upper limit to the mass of star that this mechanism can produce, has been a problem in astrophysics since the pioneering works of \citet{larson71a} and \citet{kahn74a}. These authors focused on the phys... | -28,362.072402 | [
-3.28515625,
3.046875
] | 55.517241 | [
-2.748046875,
0.74609375,
-2.384765625,
-5.94140625,
-0.5341796875,
8.1484375
] | [
4.4765625,
7.70703125,
2.978515625,
7.4609375
] | 459 | 11,734 | [
-2.59375,
2.798828125
] | 21.067468 | [
-6.6015625,
-4.765625,
-5.0625,
-2.84375,
2.6171875,
13.9140625
] | 0.74714 | 32.326141 | 19.013124 | 1.810287 | [
2.776012897491455
] | -21,264.19736 | 5.475115 | -28,047.458297 | 0.672426 | 6.177785 | [
-3.125,
-3.673828125,
-3.03515625,
-4.21875,
2.58984375,
11.1171875
] | [
-5.3203125,
-2.46875,
-2.41015625,
-2.259765625,
3.78515625,
6.1015625
] | |
BkiUbe3xK1ThhAcYi0WR | \section{Introduction} \label{intro}
\begin{figure}[!t]
\centering
\begin{subfigure}
\centering
\includegraphics[width=0.90\columnwidth]{multismc}
\end{subfigure}
\\
\begin{subfigure}
\centering
\includegraphics[width=0.90\columnwidth]{cluster}
\end{subfigure}
\\
\vspace{-0.025\columnwidth}
\begin{s... | -30,805.228678 | [
-0.2293701171875,
0.72021484375
] | 65.965583 | [
-2.708984375,
1.3291015625,
-0.76123046875,
-3.734375,
-0.87646484375,
5.5078125
] | [
0.64599609375,
4.78125,
-0.6103515625,
3.56640625
] | 663 | 11,651 | [
-2.404296875,
2.205078125
] | 21.884259 | [
-5.78125,
-2.884765625,
-3.09375,
-1.5654296875,
1.7314453125,
9.9140625
] | 0.718929 | 29.232406 | 20.573341 | 1.815985 | [
1.8803927898406982
] | -23,105.807508 | 5.611106 | -29,514.232458 | 0.185086 | 6.361528 | [
-3.306640625,
-3.845703125,
-3.62109375,
-4.27734375,
2.85546875,
11.5078125
] | [
-5.36328125,
-2.66796875,
-2.259765625,
-2.025390625,
3.904296875,
6.28125
] | |
BkiUeAU4dbghfKo4m3yF | \section{Introduction}
Recently, there is a great progress in the study of the correlation functions on the M2-branes.
The most important breakthrough is, of course, the proposal \cite{ABJM,HLLLP2,ABJ} that the world-volume theory of $\min(N_1,N_2)$ M2-branes and $|N_2-N_1|$ fractional M2-branes on the orbifold ${\mat... | -82,021.040859 | [
-1.74609375,
1.6767578125
] | 32.224686 | [
-2.23828125,
1.150390625,
-2.310546875,
-5.04296875,
-1.23046875,
7.6015625
] | [
3.974609375,
9.40625,
2.482421875,
5.3359375
] | 401 | 9,460 | [
-3.34765625,
4.00390625
] | 32.668968 | [
-5.484375,
-4.30078125,
-5.10546875,
-2.26953125,
1.83984375,
12.9375
] | 1.800242 | 10.188065 | 20.031712 | 10.368492 | [
1.402504563331604
] | -50,124.984656 | 6.106765 | -81,842.135796 | 2.170677 | 5.959036 | [
-1.8388671875,
-3.525390625,
-3.9140625,
-5.0546875,
1.8017578125,
12.3984375
] | [
-5.48046875,
-1.267578125,
-1.671875,
-0.3427734375,
3.41015625,
3.333984375
] | |
BkiUbIs5ixsDMFwZR-sC | \section{Introduction}
High-dimensional data arise frequently in many fields of the contemporary science.
In addition, it is common that the sample size is small relative
to the dimensionality of the data. Such intrinsically complex data structure introduces new challenges in
statistical analysis and inference, and r... | -65,938.900552 | [
-3.080078125,
2.841796875
] | 37.905237 | [
-2.705078125,
0.66455078125,
-2.48046875,
-5.96875,
-1.3076171875,
9.34375
] | [
3.27734375,
8.1171875,
1.7978515625,
6.59765625
] | 650 | 9,379 | [
-3.037109375,
3.123046875
] | 31.926601 | [
-6.62109375,
-5.23046875,
-5.58984375,
-2.23046875,
2.7890625,
14.1484375
] | 0.957071 | 16.958381 | 22.251839 | 5.11607 | [
1.6765974760055542
] | -34,906.501662 | 6.127199 | -65,331.725559 | 1.266814 | 6.110867 | [
-2.33203125,
-3.767578125,
-4.16015625,
-5.08203125,
2.291015625,
12.3828125
] | [
-5.859375,
-2.404296875,
-2.244140625,
-1.3466796875,
3.75,
4.921875
] | |
BkiUaojxK6wB9dbuRV4N | \section{Introduction and Main Result}
Let $(\mathcal{X},\mu)$ and $(\mathcal{Y},\nu)$ be Polish probability spaces and $\Pi(\mu,\nu)$ the set of all couplings; i.e., probability measures~$\pi$ on~$\mathcal{X}\times\mathcal{Y}$ with first marginal~$\mu$ and second marginal~$\nu$. Moreover, let $c:\mathcal{X}\times\mat... | -82,256.677236 | [
-2.861328125,
2.45703125
] | 32.950192 | [
-2.326171875,
1.220703125,
-2.0625,
-7.01171875,
-1.6220703125,
9.125
] | [
2.96875,
8.8671875,
-1.166015625,
4.8046875
] | 489 | 6,541 | [
-3.44140625,
3.86328125
] | 34.080264 | [
-5.59765625,
-4.328125,
-5.30859375,
-2.9140625,
2.025390625,
14.109375
] | 0.315977 | 16.306455 | 27.105947 | 1.361508 | [
0.7733418345451355
] | -51,198.07609 | 6.773735 | -82,651.797234 | 0.43334 | 6.32514 | [
-1.7216796875,
-3.455078125,
-4.17578125,
-5.515625,
1.96875,
12.8203125
] | [
-5.34765625,
-2.015625,
-2.20703125,
-1.5146484375,
3.67578125,
4.59375
] | |
BkiUdWQ5qhLACGCwN13M |
\subsection{GAP Overview}
\label{gap}
The GAP contact tracing approach \cite{ag2020exposure:crypto} is based on frequently-changing random pseudonyms, so-called \emph{Rolling Proximity Identifiers (RPI)}. An overview of the approach is shown in Fig.~\ref{fig:GAP-overview}. Each app generates these RPIs from a \emph{... | -20,363.44627 | [
-1.5771484375,
1.7177734375
] | 47.701149 | [
-2.912109375,
1.4326171875,
-1.5419921875,
-4.2109375,
-0.79052734375,
5.71484375
] | [
0.66748046875,
5.8984375,
1.8642578125,
4.85546875
] | 347 | 5,916 | [
-2.111328125,
2.271484375
] | 24.461947 | [
-5.05078125,
-1.8828125,
-2.0703125,
-1.3056640625,
0.8671875,
7.609375
] | 0.804611 | 23.35487 | 25.194454 | 2.654549 | [
2.427863597869873
] | -15,751.829792 | 5.777214 | -20,071.765216 | 0.263327 | 6.159449 | [
-3.6875,
-2.564453125,
-1.853515625,
-2.888671875,
2.796875,
7.671875
] | [
-6.2890625,
-2.6796875,
-2.61328125,
-2.091796875,
3.802734375,
6.6875
] | |
BkiUa785qWTD6essY_3T | \section{Introduction}
Galactic and cosmological observations indicate that if gravitational laws are dictated by general relativity, a large fraction of
the nonrelativistic matter in our Universe is in the form of particles having negligible interaction with e\-lec\-tro\-mag\-ne\-ti\-sm, baryons and themselves,
and ... | -47,915.232984 | [
-2.955078125,
2.8046875
] | 45.717732 | [
-2.927734375,
0.461181640625,
-2.09375,
-6.125,
-0.92822265625,
8.421875
] | [
3.86328125,
8.1484375,
3.05078125,
6.171875
] | 544 | 9,305 | [
-3.07421875,
3.53125
] | 27.651024 | [
-6.2265625,
-4.3203125,
-4.80859375,
-2.90625,
1.876953125,
13.078125
] | 1.005356 | 18.156793 | 20.247179 | 2.518597 | [
2.1783058643341064
] | -33,130.452099 | 5.718968 | -46,383.707703 | 0.986564 | 6.111674 | [
-2.646484375,
-3.859375,
-3.78125,
-4.7421875,
2.35546875,
12.125
] | [
-5.703125,
-2.4609375,
-2.18359375,
-1.587890625,
3.66796875,
4.91015625
] | |
BkiUa6TxaKPQonJtcpmK | \section{Introduction}\label{sec:intro}
Suppose, $\G$ is a group and $\phi: \G\rightarrow \G$ is an endomorphism.
Two elements $x,y\in \G$ are
$\phi$-{\em conjugate} or {\em twisted conjugate,}
if and only if there exists an element $g \in \G$ such that
$$
y=g x \phi(g^{-1}).
$$
The corresponding classes are call... | -30,942.566847 | [
-2.427734375,
2.150390625
] | 33.863636 | [
-3.1484375,
0.86865234375,
-2.455078125,
-6.07421875,
-0.93359375,
8.8984375
] | [
2.103515625,
8.875,
1.38671875,
4.79296875
] | 187 | 3,188 | [
-3.470703125,
4.07421875
] | 36.8814 | [
-5.09765625,
-3.73046875,
-4.875,
-2.365234375,
1.693359375,
12.3125
] | 0.47619 | 13.931631 | 25.752823 | 8.717574 | [
2.236940383911133
] | -19,646.93382 | 5.006274 | -30,583.004866 | 0.357143 | 5.704536 | [
-1.5380859375,
-3.037109375,
-3.853515625,
-5.53125,
1.9150390625,
12.34375
] | [
-5.58984375,
-1.44921875,
-1.80859375,
-0.70751953125,
3.17578125,
2.970703125
] | |
BkiUd8E5qoaAwdii7Bwm | \section{The Fat Tails Problem}
Tetlock et al. (2022) \cite{tetlock2022false}, in their criticism of claims by a paper titled "On single point forecasts for fat-tailed variables" in this journal (Taleb et al., 2022 \cite{taleb2020single}) insist that discriminating between a binary probability and a continuous distri... | -9,450.427826 | [
0.0060882568359375,
0.273193359375
] | 62.686567 | [
-6.41015625,
-3.068359375,
-3.259765625,
-7.9140625,
3.169921875,
11.921875
] | [
1.6015625,
7.32421875,
0.96630859375,
4.375
] | 107 | 2,308 | [
-2.83984375,
3.431640625
] | 24.08863 | [
-5.640625,
-4.64453125,
-4.41796875,
-1.8427734375,
2.197265625,
11.90625
] | 0.418916 | 36.208249 | 37.694974 | 1.217353 | [
1.8724544048309326
] | -7,175.375605 | 5.37825 | -9,450.104054 | 0.886168 | 5.873174 | [
-2.919921875,
-2.97265625,
-3.220703125,
-4.16796875,
2.615234375,
10
] | [
-6.19921875,
-3.2890625,
-2.435546875,
-1.6484375,
4.3828125,
6.359375
] | |
BkiUcwk25V5ihkoTWaCT | \section{Introduction}
As 3D object detection gets more popular and new datasets are published \cite{data:matter,data:apple,data:google},
evaluation metrics gain in importance. The most common one is Intersection over Union (IoU). It is well known from object detection on two-dimensional data such as images.
Existing ... | -17,795.037521 | [
-2.923828125,
2.66015625
] | 16.961131 | [
-3.033203125,
1.185546875,
-1.3740234375,
-4.80078125,
-1.20703125,
6.7109375
] | [
3.822265625,
7.109375,
3.75390625,
8.203125
] | 175 | 2,360 | [
-3.265625,
3.83984375
] | 31.576363 | [
-5.921875,
-3.716796875,
-3.265625,
-1.4462890625,
1.84765625,
9.7109375
] | 1.390821 | 8.352943 | 30.508475 | 5.465054 | [
2.3142142295837402
] | -12,085.829669 | 5.483898 | -17,466.042063 | 1.019935 | 5.692088 | [
-2.734375,
-3.185546875,
-3.408203125,
-4.3515625,
2.513671875,
10.875
] | [
-5.7421875,
-1.7216796875,
-2.484375,
-1.83203125,
3.78515625,
5.125
] | |
BkiUdHPxK7FjYHGHz5Sl | \section{Introduction}
Quantum Mechanics is considered one of the fundamental theories to describe the dynamic evolution and understand the wave behavior of matter, mainly in the aspect related to its structure, for analyzing in-depth the behavior of a particle in the microscopic medium. The quantum theory had a signi... | -34,251.868553 | [
-2.748046875,
2.517578125
] | 29.867257 | [
-3.25,
0.78857421875,
-1.921875,
-5.41796875,
-0.51708984375,
7.6796875
] | [
3.78515625,
7.55078125,
2.84375,
6.83984375
] | 301 | 3,614 | [
-3.609375,
4.03515625
] | 32.114551 | [
-5.8984375,
-3.822265625,
-3.71484375,
-2,
2.103515625,
10.9765625
] | 1.375693 | 16.549181 | 28.595087 | 7.031488 | [
3.08874249458313
] | -20,979.567036 | 6.436359 | -33,525.299153 | 0.894201 | 5.729858 | [
-2.83984375,
-3.63671875,
-3.423828125,
-4.453125,
2.556640625,
11.5625
] | [
-5.4296875,
-1.7265625,
-2.498046875,
-1.5205078125,
3.58203125,
4.79296875
] | |
BkiUbGI4uzki0oIf_kz8 | \chapter{$G$-Sets and $G$-Graphs}
\section{Permutation Groups}
\begin{definition}[Permutation group]
A \emph{permutation group} is a triple $(G, \Omega, \rho)$
where $G$ is a group, $\Omega$ is a set and $\rho$
is a homomorphism:
$$ \rho : G \to \Aut(\Omega). $$
We say that $G$ {\it acts on} $\Omega$ as a group of pe... | -138,918.692583 | [
-1.7890625,
1.609375
] | 40.95952 | [
-3.44921875,
0.59326171875,
-1.57421875,
-6.0390625,
-0.67138671875,
7.78515625
] | [
0.93701171875,
7.38671875,
0.98974609375,
6.6796875
] | 935 | 18,251 | [
-2.947265625,
3.62109375
] | 35.39562 | [
-5.28515625,
-3.076171875,
-4.234375,
-2.25390625,
1.30859375,
11.109375
] | 0.833572 | 18.695207 | 9.10635 | 1.212659 | [
3.4915637969970703
] | -88,418.074323 | 4.594598 | -137,099.464161 | 0.190803 | 5.631464 | [
-2.072265625,
-2.935546875,
-3.22265625,
-5.125,
2.021484375,
11.4765625
] | [
-5.5546875,
-1.5966796875,
-1.4130859375,
-0.8046875,
2.865234375,
3.41796875
] | |
BkiUfjDxK4tBVhat6MXr | \section{Introduction}
\label{sec:intro}
The Standard Model (SM) provides a successful framework to describe three out of four known fundamental forces of nature, i.e. the electromagnetic, nuclear strong and weak interactions. However, it does not account for the number of fermion generations and lacks a natural ... | -86,725.925944 | [
-2.865234375,
2.701171875
] | 19.406151 | [
-3.234375,
0.8525390625,
-0.9736328125,
-5.7578125,
-1.0986328125,
8.0546875
] | [
2.716796875,
8.6171875,
3.064453125,
6.4765625
] | 1,056 | 10,437 | [
-2.666015625,
2.8046875
] | 38.202281 | [
-5.33984375,
-3.3984375,
-3.73828125,
-2.1796875,
1.3818359375,
10.4140625
] | 0.674018 | 7.580744 | 26.254789 | 7.52494 | [
2.591724157333374
] | -50,453.400848 | 6.325764 | -85,101.03297 | 0.086335 | 6.633654 | [
-2.65625,
-3.4921875,
-4.0234375,
-5.40234375,
2.205078125,
12.59375
] | [
-5.30078125,
-1.37109375,
-1.4755859375,
-1.01953125,
2.896484375,
3.28515625
] | |
BkiUdR4241xiERJzIQ8w | \section{1. Expansion near the transition}
Taking derivatives of Eq. \eqref{SS} in the Letter we obtain
\begin{equation}
\Sigma''(\mu) = \partial_\mu \xi_* + I_2(\mu)
\end{equation}
Let us define for convenience
\begin{equation}\label{defIp}
I_{pq}(\mu,y^2) := \int_k \frac{(\mu - t \Delta(k))^q}{((\mu - t \Delta(k))^2... | -31,470.794891 | [
-0.771484375,
0.6181640625
] | 15.300546 | [
-3.46484375,
0.06597900390625,
-2.06640625,
-6.5859375,
-0.99658203125,
8.703125
] | [
0.6708984375,
7.578125,
-1.90625,
2.373046875
] | 68 | 2,143 | [
-3.29296875,
3.876953125
] | 41.172698 | [
-5.62109375,
-3.69921875,
-3.634765625,
-2.0390625,
1.59375,
10.3515625
] | 0.858222 | 11.100975 | 35.230985 | 5.029749 | [
1.6446740627288818
] | -19,066.76831 | 5.437238 | -31,345.706485 | 1.021284 | 5.812497 | [
-2.533203125,
-3.615234375,
-4.296875,
-5.55859375,
2.40625,
12.96875
] | [
-4.79296875,
-0.92333984375,
-1.9912109375,
-0.80859375,
2.2890625,
2.384765625
] | |
BkiUe5nxaKgQSxpOO7BT | \section{Introduction}
\label{sec:introduction}
From cellular structures to organisms and populations, biological systems are governed by principles of self-organisation.
The intricate cycles of autocatalytic reactions that constitute cell metabolism, the highly orchestrated processes of nucleic acid transcription an... | -33,681.832256 | [
-2.63671875,
2.470703125
] | 67.343977 | [
-2.833984375,
0.59033203125,
-1.7734375,
-4.40625,
-0.270751953125,
6.48828125
] | [
6.36328125,
7.8671875,
2.72265625,
10.2734375
] | 563 | 11,111 | [
-3.51953125,
4.01171875
] | 22.043346 | [
-6.62890625,
-4.03125,
-4.4609375,
-2.193359375,
2.291015625,
12.796875
] | 0.924845 | 20.848725 | 20.340203 | 1.094874 | [
2.6206765174865723
] | -25,996.768509 | 5.936189 | -32,421.794948 | 0.382067 | 6.221909 | [
-3.73046875,
-3.9296875,
-3.265625,
-3.904296875,
2.611328125,
11.2734375
] | [
-5.6015625,
-2.169921875,
-2.482421875,
-1.8759765625,
3.4140625,
5.79296875
] | |
BkiUfBfxK0iCl4WD5TLS | \section{Introduction}\label{sec-1}
An $R^{n}$ valued $\alpha$-permanental random variable $X=(X_{1},\ldots, X_{n})$ is a random variable with Laplace transform
\begin{equation}
E\(e^{-\sum_{i=1}^{n}s_{i}X_{i}}\)
= \frac{1}{ |I+KS|^{ \alpha}}, \label{int.1}
\end{equation}
where $K$ is an $n\times n$ ma... | -57,253.099301 | [
-2.4140625,
2.1328125
] | 34.653465 | [
-3.388671875,
0.443603515625,
-2.017578125,
-4.73046875,
-0.2890625,
6.953125
] | [
1.583984375,
8.0390625,
-0.58251953125,
4.6640625
] | 380 | 4,394 | [
-3.26171875,
3.66796875
] | 45.237602 | [
-5.40625,
-3.68359375,
-4.0546875,
-2.203125,
1.8447265625,
11.3203125
] | 0.877272 | 11.197981 | 24.032772 | 4.583574 | [
1.602150797843933
] | -36,355.360931 | 5.058716 | -57,583.811896 | 1.133705 | 5.886462 | [
-2.181640625,
-3.2109375,
-3.94921875,
-5.453125,
2.21875,
12.3515625
] | [
-5.28125,
-0.63525390625,
-1.4716796875,
-0.4619140625,
2.607421875,
2.08203125
] | |
BkiUfWzxK03BfNelYHKL | \section{Introduction}
Particle in Cell (PIC) plasma simulation codes typically employ a
Finite Difference Time Domain (FDTD) algorithm with staggered spatial
mesh \citep{Yee} for advancing Maxwell's equations. The FDTD algorithm
is straightforward, second-order accurate, and parallelizes well for
efficient computatio... | -83,718.9452 | [
-3.552734375,
3.19140625
] | 17.733564 | [
-3.10546875,
0.80322265625,
-2.341796875,
-6.4921875,
-1.7958984375,
8.9296875
] | [
2.763671875,
8.5703125,
1.7490234375,
6.046875
] | 440 | 6,418 | [
-3.064453125,
3.552734375
] | 29.690713 | [
-5.8828125,
-3.87109375,
-3.65625,
-1.875,
1.962890625,
10.9921875
] | 0.438749 | 13.30824 | 25.802431 | 1.470534 | [
2.6809582710266113
] | -53,982.197737 | 7.635245 | -82,220.496792 | 0.457115 | 6.233602 | [
-2.6015625,
-3.71484375,
-4.00390625,
-4.98046875,
2.427734375,
12.328125
] | [
-4.77734375,
-2.078125,
-2.330078125,
-2.025390625,
3.0546875,
4.83203125
] | |
BkiUd4HxaKgT9kwJNaiM | \section{Introduction}
\label{secIntroduction}
The quantization of the black hole horizon area and entropy has been a fascinating subject. The pioneer work can be traced back to Bekenstein \cite{Bekenstein1} with the famous conjecture that the black hole area should be represented by a quantum operator with a discrete... | -32,295.36173 | [
-2.3515625,
2.251953125
] | 28.571429 | [
-2.78125,
1.1005859375,
-2.078125,
-5.61328125,
-1.025390625,
7.875
] | [
3.578125,
8.4921875,
3.013671875,
5.66796875
] | 211 | 4,102 | [
-2.748046875,
3.01953125
] | 29.922568 | [
-6.13671875,
-4.20703125,
-4.484375,
-2.41796875,
1.7294921875,
12.46875
] | 2.055329 | 15.937242 | 23.330083 | 4.709675 | [
2.106874465942383
] | -21,645.182437 | 5.930522 | -32,320.330477 | 1.923788 | 5.52503 | [
-2.4921875,
-3.734375,
-3.83203125,
-4.828125,
2.23828125,
12.3515625
] | [
-5.30859375,
-1.66015625,
-2.22265625,
-1.5048828125,
3.33203125,
4.3515625
] | |
BkiUdmo5qsNCPdvTYuIS | \section{Introduction}
\label{intr}
The existence of sterile neutrinos has not been proven yet. However, their existence is suggested by various scenarios which can explain the detected differences of masses of the three known light neutrinos. Furthermore, most of such scenarios suggest that the neutrinos are Majorana... | -55,009.691737 | [
-3.390625,
3.1640625
] | 22.469983 | [
-3.212890625,
0.94873046875,
-1.6962890625,
-5.671875,
-1.0078125,
8
] | [
2.6953125,
8.5859375,
4.3359375,
7.03125
] | 397 | 6,580 | [
-2.54296875,
2.611328125
] | 36.860157 | [
-6.0234375,
-3.626953125,
-3.76171875,
-2.220703125,
1.787109375,
11.0859375
] | 1.106765 | 16.211288 | 21.048632 | 6.353141 | [
3.264312744140625
] | -32,652.8923 | 5.012006 | -53,706.769507 | 0.445738 | 6.023037 | [
-2.5390625,
-3.685546875,
-4.1640625,
-5.34375,
2.125,
13.09375
] | [
-5.765625,
-2.083984375,
-2.267578125,
-1.2421875,
3.28515625,
4.4375
] | |
BkiUdeE5qX_BgkbTKHZx | \section{Problem Formulation}
{\bf Formulation 1 - Feature Preference Model:} We assume that the reason that a particular worker has completed a particular task is because the worker has a hidden preference over the task features which we want to uncover. As an example, if locations are used as task features, we can ... | -12,233.343723 | [
-2.302734375,
2.052734375
] | 57.360406 | [
-3.62109375,
0.337646484375,
-2.001953125,
-5.1875,
-0.791015625,
7.6171875
] | [
0.321044921875,
7.15625,
-0.34228515625,
6.8984375
] | 105 | 1,999 | [
-3.25390625,
4.08984375
] | 26.804962 | [
-6.40234375,
-4.734375,
-4.11328125,
-1.455078125,
2.681640625,
11.40625
] | 0.410659 | 47.702091 | 33.266633 | 2.03772 | [
2.3940751552581787
] | -8,768.486586 | 5.481741 | -12,207.624385 | 0.912575 | 5.6789 | [
-2.798828125,
-3.259765625,
-3.13671875,
-4.27734375,
2.5625,
10.75
] | [
-6.18359375,
-2.041015625,
-2.171875,
-1.169921875,
3.7890625,
4.6640625
] | |
BkiUd6nxaKgQKN2tU97o | \section{INTRODUCTION}
\renewcommand{\theequation}{1.\arabic{equation}}
\setcounter{equation}{0}
The background here is properly the Bohmian or trajectory approach
to quantum mechanics (QM) (cf. \cite{bm,ha} for technical details
and \cite{bg,cm,hb,pd} for perspectives, philosophy, etc.). In a
seminal paper \cite{fa}... | -24,558.14888 | [
-1.9873046875,
1.806640625
] | 10.828025 | [
-3.53515625,
0.00800323486328125,
-2.072265625,
-5.37890625,
-0.1329345703125,
7.5390625
] | [
2.21484375,
7.453125,
-0.356689453125,
3.958984375
] | 131 | 2,741 | [
-3.458984375,
3.77734375
] | 31.83805 | [
-5.51953125,
-3.849609375,
-4.03515625,
-2.138671875,
1.7841796875,
11.40625
] | 0.44287 | 5.723604 | 34.549435 | 3.308233 | [
1.6362736225128174
] | -15,986.558557 | 5.766509 | -24,363.919935 | 0.601038 | 5.957455 | [
-2.603515625,
-3.4921875,
-3.224609375,
-4.59375,
2.400390625,
11.4140625
] | [
-4.8671875,
-1.0869140625,
-1.306640625,
-0.36279296875,
2.8515625,
2.189453125
] | |
BkiUdYw5qYVBOT10Juvv | \section{Introduction}
Soft gamma-ray repeaters (SGRs) were first discovered
as high-energy burst sources in the late 1970's \citep{Mazets1981}.
Once SGRs enter burst active phases,
they produce a lot of short-duration ($\sim$0.1 s) energetic ($\sim10^{41}$
erg) soft gamma-ray bursts. These bursts were distinguished... | -10,378.053492 | [
-3.60546875,
3.19140625
] | 45.730028 | [
-3.173828125,
0.442626953125,
-1.7392578125,
-4.8515625,
-0.1444091796875,
7.5234375
] | [
1.40625,
5.2734375,
4.3125,
2.779296875
] | 176 | 2,569 | [
-3.6484375,
4.15625
] | 27.693244 | [
-5.78515625,
-2.921875,
-2.69921875,
-1.939453125,
1.34765625,
9.9921875
] | 2.580141 | 24.705994 | 28.727131 | 6.363667 | [
2.5978965759277344
] | -9,154.085158 | 4.978591 | -10,075.306856 | 0.938233 | 5.516839 | [
-3.4765625,
-3.61328125,
-2.822265625,
-3.619140625,
2.525390625,
10.5703125
] | [
-5.83203125,
-2.103515625,
-2.275390625,
-1.5283203125,
3.611328125,
5.47265625
] | |
BkiUfv45qhDChOLprBZ0 | \section{Introduction: dataset shift breaks learned biomarkers}
Biomarkers are measurements that provide information about a medical condition
or physiological state \citep{strimbu2010biomarkers}. For example, the presence
of an antibody may indicate an infection; a complex combination of features
extracted from a medi... | -18,022.998526 | [
-2.21484375,
2.388671875
] | 37.188873 | [
-2.71484375,
0.6455078125,
-1.70703125,
-4.45703125,
-0.3037109375,
6.45703125
] | [
3.71875,
7.171875,
3.6796875,
8.09375
] | 349 | 5,122 | [
-1.4609375,
1.5068359375
] | 21.56265 | [
-6.171875,
-4.49609375,
-4.7265625,
-2.013671875,
2.673828125,
12.671875
] | 0.697682 | 12.880732 | 25.925926 | 1.218786 | [
2.955673933029175
] | -14,434.152363 | 6.156384 | -17,958.410485 | 0.482035 | 6.007839 | [
-3.291015625,
-3.458984375,
-2.53125,
-3.3203125,
2.865234375,
9.21875
] | [
-5.06640625,
-1.970703125,
-2.05078125,
-1.5439453125,
3.103515625,
5.1953125
] | |
BkiUeazxK1yAgYaM3lkH | \section{Introduction}
Neutrino oscillations are a direct consequence of the assumption raised in the seminal article by Bruno Pontecorvo in 1957~\cite{Pontecorvo:1957cp} which asserts that neutrino states interacting with charged leptons through weak interactions are superpositions of neutrino states of non-vanishi... | -14,897.179899 | [
-3.419921875,
3.111328125
] | 45.637584 | [
-3.060546875,
0.45654296875,
-2.033203125,
-5.71875,
-0.2900390625,
8.171875
] | [
5.04296875,
7.97265625,
4.5,
8.3203125
] | 216 | 3,280 | [
-3.58984375,
4.19921875
] | 24.14073 | [
-5.99609375,
-4.21484375,
-4.296875,
-2.34765625,
2.021484375,
12.5625
] | 0.933658 | 24.586807 | 28.597561 | 3.335808 | [
3.0762734413146973
] | -11,195.058767 | 5.877744 | -14,878.675961 | 0.472016 | 5.782936 | [
-2.88671875,
-3.56640625,
-3.5625,
-4.67578125,
2.25,
11.921875
] | [
-5.23046875,
-1.8583984375,
-1.73046875,
-1.2255859375,
3.1796875,
4.4296875
] | |
BkiUaX66NNjgB1scVvi2 | \section{Appendix}
\end{document}
\section{Conclusion and Future Work}
We propose a novel graph neural network approach that effectively integrates textual and structural information and uses loss trajectories of samples during training to learn effective curricula for predicting relations between given entity pair... | -27,271.980973 | [
-2.78515625,
2.47265625
] | 61.290323 | [
-3.185546875,
0.64208984375,
-1.1474609375,
-2.380859375,
-0.49853515625,
4.09375
] | [
-0.82666015625,
4.23046875,
0.2724609375,
3.818359375
] | 518 | 6,686 | [
-2.5703125,
2.521484375
] | 25.242093 | [
-6.140625,
-3.47265625,
-3.5234375,
-1.681640625,
1.7646484375,
10.984375
] | 0.28757 | 39.599372 | 23.302423 | 4.348221 | [
1.774150013923645
] | -19,801.174267 | 6.24125 | -26,750.66166 | 0.345084 | 6.193652 | [
-3.244140625,
-3.548828125,
-2.982421875,
-3.67578125,
2.861328125,
10.4140625
] | [
-6.19921875,
-2.189453125,
-2.21875,
-1.53125,
3.515625,
5.23828125
] | |
BkiUeBk5qhLAB45oKIRx | \section{Introduction}
In recent years there has been a notable advance in the understanding of electronic transport through superconducting nanosystems. In particular, the development of fabrication techniques such as scanning tunneling microscopy, break-junction and lithographic methodologies \cite{review} have allo... | -28,015.224633 | [
-3.044921875,
2.84765625
] | 31.952663 | [
-3.349609375,
-0.1119384765625,
-2.365234375,
-6.6640625,
-0.7626953125,
9.40625
] | [
5.1328125,
8.8828125,
3.337890625,
6.828125
] | 251 | 4,616 | [
-3.443359375,
4.109375
] | 26.261996 | [
-6.5546875,
-4.73828125,
-4.96484375,
-2.5625,
2.39453125,
13.5234375
] | 0.797882 | 14.574222 | 30.957539 | 1.835185 | [
2.0793673992156982
] | -17,522.431002 | 5.973354 | -27,548.133914 | 0.685453 | 6.201324 | [
-2.76953125,
-4.08984375,
-4.0703125,
-5.01953125,
2.52734375,
13.015625
] | [
-5.6328125,
-2.33203125,
-2.435546875,
-1.609375,
3.81640625,
5.12890625
] | |
BkiUbE45qU2Aps3F5jLi | \section{Introduction}
The precise Cosmic Microwave Background (CMB) properties
reported by the {\sc Planck} experiment \cite{Planck_params,Planck_infl,BK15} and
the discovery by LHC of the Higgs boson \cite{Atlas,CMS}
increased the interest in so called Higgs portal interactions that connect
the hidden (dar... | -39,074.026462 | [
-2.83203125,
2.650390625
] | 23.857868 | [
-2.8359375,
0.4248046875,
-1.8837890625,
-5.59375,
-0.67822265625,
7.53515625
] | [
2.66796875,
8.265625,
2.353515625,
4.265625
] | 365 | 6,234 | [
-2.94921875,
3.20703125
] | 31.703326 | [
-6.15625,
-4.3984375,
-4.3984375,
-2.46875,
1.9755859375,
12.3203125
] | 2.798686 | 9.83596 | 24.222008 | 4.692123 | [
1.9945515394210815
] | -24,517.417982 | 5.51957 | -38,048.17855 | 2.12735 | 5.952241 | [
-3,
-3.9765625,
-3.669921875,
-4.55859375,
2.4140625,
11.8515625
] | [
-5.50390625,
-1.4873046875,
-1.7197265625,
-0.7705078125,
2.953125,
3.53515625
] | |
BkiUcenxK7FjYCv2RJvX | \section{Introduction}
Recently, Deep Convolutional Neural Networks (DCNNs) have attracted a lot of attention in visual recognition due to its good performance \cite{ImageNetDeepLearning}. It has been discovered that activations of a DCNN pretrained on a large dataset, such as ImageNet \cite{ImageNet}, can be employed... | -26,666.962501 | [
-2.302734375,
2.1640625
] | 31.606218 | [
-3.130859375,
1.107421875,
-1.7978515625,
-4.2578125,
-0.833984375,
6.59375
] | [
3.154296875,
7.25390625,
1.4794921875,
6.79296875
] | 358 | 5,337 | [
-2.087890625,
2.228515625
] | 29.567723 | [
-6.65625,
-5.046875,
-4.8828125,
-1.7119140625,
2.96484375,
13.3203125
] | 2.123115 | 24.603861 | 22.128537 | 6.827696 | [
1.7953989505767822
] | -20,402.251861 | 5.877647 | -26,387.223655 | 1.109375 | 5.962368 | [
-3.080078125,
-3.626953125,
-3.302734375,
-4.1640625,
2.814453125,
11.2109375
] | [
-5.85546875,
-2.65234375,
-2.97265625,
-2.2578125,
4.16015625,
6.8125
] | |
BkiUdms4dbjiU9oEegS7 | \section{Introduction}
ACM's consolidated article template, introduced in 2017, provides a
consistent \LaTeX\ style for use across ACM publications, and
incorporates accessibility and metadata-extraction functionality
necessary for future Digital Library endeavors. Numerous ACM and
SIG-specific \LaTeX\ templates have b... | -52,184.661095 | [
-1.822265625,
1.9140625
] | 29.876797 | [
-2.46484375,
1.029296875,
-1.1953125,
-4.8359375,
-0.27294921875,
5.96484375
] | [
3.525390625,
4.56640625,
-0.42626953125,
7.15625
] | 984 | 14,820 | [
-2.29296875,
2.41796875
] | 24.258928 | [
-3.064453125,
1.2705078125,
0.0880126953125,
-0.87060546875,
-1.458984375,
2.341796875
] | 0.692481 | 18.748761 | 16.036717 | 1.626825 | [
2.1570048332214355
] | -37,520.81758 | 5.943927 | -51,427.632528 | 0.476791 | 6.389242 | [
-3.384765625,
-2.55078125,
-1.212890625,
-2.73046875,
2.5859375,
6.37109375
] | [
-5.8203125,
-3.271484375,
-2.890625,
-2.029296875,
4.2734375,
6.30078125
] | |
BkiUd1E25V5hYDkHHlC8 | \section{\textbf{INTRODUCTION}}
Forgery and manipulation of multimedia like images and videos including facial information generated by digital manipulation, in particular with DeepFake methods, have become a great public concern recently \cite{citrond}, \cite{rcellanjones} especially for public figures. The famous ter... | -14,241.794842 | [
-0.447021484375,
1.046875
] | 24.770642 | [
-3.515625,
0.494140625,
-1.39453125,
-3.189453125,
1.275390625,
4.7890625
] | [
2.20703125,
6.09765625,
3.419921875,
4.82421875
] | 318 | 4,606 | [
-0.71923828125,
0.403076171875
] | 22.354845 | [
-5.6328125,
-2.369140625,
-2.466796875,
-0.71142578125,
1.7138671875,
8.28125
] | 0.712937 | 24.18994 | 28.890818 | 2.623924 | [
2.5632641315460205
] | -11,850.500271 | 5.633739 | -14,103.501363 | 0.53952 | 6.05506 | [
-3.970703125,
-3.23046875,
-1.80859375,
-2.640625,
3.17578125,
7.8515625
] | [
-6.2734375,
-1.98828125,
-1.6220703125,
-0.9501953125,
4.16796875,
4.91015625
] | |
BkiUb2HxK3YB9i3RJdEe |
\section{Introduction}
The third Formula Student Driverless (FSD) competition was held at the Hockenheimring in Germany from the 5th to the 11th of August 2019. The competition was introduced in 2017 and extended the previously existing combustion and electric classes. Since then, KA-RaceIng\footnote{\url{h... | -26,470.115248 | [
-1.830078125,
1.7353515625
] | 38.016529 | [
-2.951171875,
0.9853515625,
-0.9111328125,
-4.3671875,
0.00940704345703125,
6.05859375
] | [
1.6552734375,
3.515625,
2.734375,
5.64453125
] | 430 | 7,238 | [
-2.302734375,
2.6953125
] | 23.104667 | [
-5.90625,
-3.333984375,
-3.658203125,
-1.5400390625,
2.205078125,
10.390625
] | 1.255902 | 26.261687 | 27.272727 | 1.542834 | [
2.3452258110046387
] | -16,663.643768 | 5.940453 | -25,972.538295 | 0.362816 | 6.293875 | [
-3.341796875,
-3.24609375,
-2.3359375,
-3.373046875,
2.7578125,
8.953125
] | [
-5.9140625,
-3.642578125,
-3.548828125,
-2.845703125,
4.421875,
8.359375
] | |
BkiUdDE4uzlhge3-E75T | \section{Introduction}
Anderson localization is a fundamental phenomenon of quantum disorder systems
and has attracted longstanding attention in condensed matter physics \citep{Anderson_disorder,Anderson 50 year,Mirlin_anderson_transition}. While localization-delocalization transition and mobility edges only occur in ... | -27,825.221674 | [
-2.85546875,
2.6328125
] | 32.283465 | [
-3.150390625,
0.47021484375,
-2.328125,
-5.21875,
-0.95654296875,
8.65625
] | [
3.23046875,
8.453125,
3.78125,
6.25390625
] | 350 | 5,058 | [
-3.078125,
3.65625
] | 24.469593 | [
-6.3515625,
-4.51953125,
-4.7265625,
-2.470703125,
2.046875,
13.4140625
] | 1.839465 | 12.696332 | 20.996441 | 2.03212 | [
1.2090873718261719
] | -19,156.194442 | 5.911427 | -27,143.397976 | 0.73913 | 5.613558 | [
-2.443359375,
-3.955078125,
-4.28515625,
-5.11328125,
2.302734375,
13.0546875
] | [
-5.73046875,
-1.7919921875,
-2.482421875,
-1.30078125,
3.744140625,
4.7265625
] | |
BkiUcVQ5qsNCPep75jrn | \section{Introduction}
This article is a continuation of the prequel article \cite{VO5}, on the topic
of Rankin-Selberg $L$-functions in cyclotomic towers, and particularly
the nonvanishing of their central values in families. The purpose of the
present article is to deduce a much stronger result towards the conjectur... | -78,381.464279 | [
-2.7578125,
2.45703125
] | 16.666667 | [
-2.361328125,
0.6376953125,
-2.48828125,
-6.91796875,
-1.447265625,
9.546875
] | [
2.986328125,
8.921875,
1.5478515625,
4.765625
] | 399 | 9,712 | [
-3.328125,
3.921875
] | 33.156985 | [
-4.9296875,
-3.837890625,
-5.33984375,
-2.7109375,
1.2265625,
12.9453125
] | 0.99257 | 9.684713 | 13.879736 | 1.825267 | [
1.0070703029632568
] | -50,648.078625 | 5.238674 | -77,690.523501 | 0.713471 | 5.884175 | [
-1.5791015625,
-3.26953125,
-4.109375,
-5.6015625,
1.6943359375,
12.5859375
] | [
-5.625,
-2.05078125,
-1.9072265625,
-0.9228515625,
3.736328125,
3.703125
] | |
BkiUdoY5qsFAf8zx04a6 | \section*{Data and methodology}
We start by considering the six strong lensing time delay measurements, of which five were analyzed blindly, from the H0LiCOW collaboration in~\cite{Wong:2019kwg,Suyu:2009by,Suyu:2013kha,Wong:2016dpo,Birrer:2018vtm,Rusu:2019xrq,Chen:2019ejq}. The difference of excess time delays between ... | -11,179.206086 | [
-1.7529296875,
1.6162109375
] | 78.571429 | [
-2.064453125,
1.068359375,
-1.6103515625,
-5.625,
-1.296875,
7.4140625
] | [
2.107421875,
7.40234375,
2.734375,
4.69140625
] | 178 | 2,872 | [
-3.59765625,
4.3828125
] | 22.438781 | [
-6.3984375,
-4.90234375,
-5.046875,
-2.7890625,
2.18359375,
14.078125
] | 1.786386 | 21.661703 | 26.462396 | 1.715132 | [
3.0445289611816406
] | -9,377.750741 | 5.555014 | -11,105.300807 | 0.676946 | 5.539394 | [
-2.9921875,
-3.65234375,
-3.26953125,
-4.06640625,
2.455078125,
11.09375
] | [
-5.8515625,
-2.513671875,
-2.330078125,
-1.9501953125,
3.794921875,
5.875
] | |
BkiUbfY4eIZijWO-mGlh | \section{INTRODUCTION}
Research on autonomous agents and Multi-Agent Systems (MAS) has been focusing on models and methods for the flexible exploitation of environmental resources. To engineer large-scale and afford- ance-rich MAS, the Web has been investigated as an enabler for autonomous agents to make the most of t... | -29,204.047075 | [
-1.62109375,
1.9423828125
] | 52.911392 | [
-3.63671875,
0.2100830078125,
-2.57421875,
-6.63671875,
-0.03338623046875,
9.4765625
] | [
4.203125,
7.53125,
1.498046875,
8.2578125
] | 426 | 7,360 | [
-0.7578125,
0.5234375
] | 22.128663 | [
-6.40625,
-4.2578125,
-4.6875,
-1.841796875,
2.6484375,
12.5234375
] | 0.733585 | 27.513191 | 19.6875 | 0.831337 | [
2.646243095397949
] | -22,600.906412 | 6.019429 | -28,698.632096 | 0.338578 | 5.841745 | [
-3.064453125,
-3.490234375,
-3.685546875,
-4.6015625,
2.8359375,
11.2578125
] | [
-5.6640625,
-2.154296875,
-2.689453125,
-1.3447265625,
3.931640625,
5.3515625
] | |
BkiUfAHxK0wg09KOYwaw |
\section{Introduction}\label{sec:introduction}
Small solar system bodies, such as asteroids and comets, are of significant interest to the scientific community; these small bodies offer great insight into the early formation of the solar system.
This insight offers additional detail into the formation of the Earth an... | -34,087.464411 | [
-3.6640625,
3.31640625
] | 55.291971 | [
-2.681640625,
0.88671875,
-1.82421875,
-5.13671875,
-0.60107421875,
6.890625
] | [
3.62890625,
6.4375,
4.69140625,
7.44921875
] | 290 | 5,602 | [
-1.9541015625,
1.7783203125
] | 27.303732 | [
-6.4921875,
-4.08984375,
-4.6796875,
-2.21484375,
2.279296875,
12.515625
] | 1.225599 | 9.445748 | 23.795073 | 2.1068 | [
3.5534861087799072
] | -23,318.997927 | 6.044448 | -33,658.718212 | 1.222646 | 5.923255 | [
-2.9453125,
-3.4609375,
-2.99609375,
-4.18359375,
2.54296875,
10.875
] | [
-5.61328125,
-3.20703125,
-2.615234375,
-1.99609375,
3.94921875,
6.26171875
] | |
BkiUaljxK0zjCxh702gL | \section{Overview}
The purpose of this paper is to describe a general mechanism for constructing large commuting families of operators in the setting of geometric representation theory. We first sketch the underlying formal mechanism and then describe its primary application.
\subsection{Symmetries of Convolution Ca... | -154,976.177463 | [
-2.8046875,
2.470703125
] | 45.094851 | [
-2.123046875,
0.9638671875,
-2.19921875,
-6.12109375,
-1.5107421875,
8.8125
] | [
2.853515625,
8.8203125,
0.6513671875,
6.87109375
] | 1,225 | 23,573 | [
-3.474609375,
4.01953125
] | 27.325746 | [
-5.25,
-3.685546875,
-5.984375,
-2.693359375,
1.48828125,
14.0078125
] | 0.75235 | 29.12869 | 14.181479 | 0.548019 | [
1.4369919300079346
] | -99,300.567624 | 6.033216 | -152,797.022824 | 0.329065 | 6.250047 | [
-1.1875,
-3.38671875,
-4.40234375,
-5.70703125,
1.638671875,
12.890625
] | [
-5.7265625,
-1.865234375,
-2.13671875,
-0.693359375,
3.734375,
4.1171875
] | |
BkiUdVU5qsFAfn88tar0 | \section{Introduction and results}
Unless otherwise stated, all the manifolds discussed in this paper
are closed smooth manifolds and all involutions and circle actions
on the manifolds are smooth. We denote by superscripts the
corresponding dimensions of the manifolds.
The following is a classical result of Conner an... | -23,717.261306 | [
-2.916015625,
2.646484375
] | 24.712644 | [
-2.271484375,
0.916015625,
-2.3203125,
-6.30859375,
-1.068359375,
9.234375
] | [
2.701171875,
9.0078125,
1.740234375,
5.95703125
] | 128 | 2,067 | [
-3.587890625,
4.140625
] | 35.374072 | [
-5.0546875,
-3.623046875,
-5.0078125,
-2.544921875,
1.30078125,
12.78125
] | 1.02916 | 13.941942 | 30.285438 | 3.212403 | [
1.5776398181915283
] | -16,944.341149 | 5.641026 | -23,855.435097 | 1.114923 | 5.53755 | [
-1.5927734375,
-3.203125,
-3.9921875,
-5.46875,
1.8466796875,
12.515625
] | [
-5.67578125,
-1.701171875,
-1.9765625,
-1.2470703125,
3.46484375,
4.0390625
] | |
BkiUdI84uzlha6mQo4iy | \section{Introduction}
An important tool in analysing games is the concept of
{\it Nash equilibrium} \cite{nash1950equilibrium}, which represents situations
where no player has incentive
to deviate from their strategy. This corresponds to situations observed in real life,
with applications in economics, sociology, in... | -52,201.410491 | [
-2.978515625,
2.70703125
] | 8.669528 | [
-2.654296875,
0.85986328125,
-2.087890625,
-5.0703125,
-0.89013671875,
7.48828125
] | [
3.244140625,
7.7265625,
2.43359375,
7.2734375
] | 179 | 5,769 | [
-2.923828125,
3.185546875
] | 45.613165 | [
-5.484375,
-3.73828125,
-4.3125,
-2.2265625,
1.82421875,
11.53125
] | 1.424375 | 5.85354 | 18.099861 | 59.081178 | [
3.2372517585754395
] | -37,924.269852 | 4.308026 | -51,031.135609 | 1.77041 | 5.364555 | [
-2.505859375,
-2.96875,
-2.921875,
-4.34765625,
2.259765625,
10.59375
] | [
-5.65625,
-1.716796875,
-1.869140625,
-1.0244140625,
3.427734375,
4.0703125
] | |
BkiUdvXxaL3Suji9h9ta | \section{Background}
\label{sec:background}
This section provides general technical background on wireless
charging and power side-channel attacks which is necessary to understand
the proposed wireless charging power side-channel attack.
\subsection{Wireless Charging}
Using the open interface standard Qi for wirele... | -24,902.003458 | [
-3.333984375,
3.05859375
] | 56.20438 | [
-2.787109375,
0.4677734375,
-2.40234375,
-5.046875,
-0.0850830078125,
7.15234375
] | [
0.90478515625,
6.07421875,
2.85546875,
6.5390625
] | 595 | 8,693 | [
-2.734375,
3.09375
] | 20.661808 | [
-5.953125,
-3.26953125,
-3.53125,
-1.5498046875,
2.099609375,
10.4296875
] | 2.258011 | 26.860651 | 19.291384 | 3.583278 | [
2.992072105407715
] | -22,327.410167 | 5.542851 | -24,548.906166 | 0.392246 | 5.962136 | [
-3.712890625,
-3.54296875,
-2.392578125,
-3.283203125,
2.935546875,
9.1328125
] | [
-5.49609375,
-2.775390625,
-2.740234375,
-2.14453125,
3.9296875,
6.6015625
] | |
BkiUdRk4uBhivXSXyV7s | \section{INTRODUCTION}
The inclusion of internal fermion loops in the vacuum of QCD
is a major
challenge. The present state of the art for generating full QCD
configurations
is the so called Hybrid Monte Carlo algorithm which uses
Molecular Dynamic evolution in a ``fifth time'' coordinate t.
The Hamiltonian
for this ... | -11,348.774712 | [
-3.056640625,
2.703125
] | 20.504732 | [
-5.9453125,
-4.06640625,
-2.76953125,
-7.60546875,
1.4892578125,
12.6015625
] | [
1.423828125,
8.515625,
0.603515625,
4.62109375
] | 205 | 1,489 | [
-3.546875,
3.9765625
] | 35.421529 | [
-6.17578125,
-5.515625,
-3.30078125,
-1.078125,
2.724609375,
9.9921875
] | 0.740641 | 10.397657 | 41.302888 | 6.500654 | [
1.8729000091552734
] | -8,072.524766 | 4.98724 | -11,088.055533 | 0.67331 | 5.775179 | [
-2.833984375,
-3.43359375,
-3.498046875,
-3.970703125,
2.41015625,
10.15625
] | [
-6.71484375,
-4.1640625,
-2.8515625,
-1.712890625,
4.26171875,
7.05078125
] | |
BkiUdn85qsNCPV6YkjdR | \section{Introduction}
The general relativity (GR)\ theory has given to space-time a physical
status which makes of it one of the basic ingredients of the universe, being
the other matter/energy, however usually the nature of space-time is not
really given much attention. In the, till now, unsuccessful attempts to
qua... | -28,323.729754 | [
-2.376953125,
2.41796875
] | 29.215686 | [
-3.423828125,
0.427978515625,
-2.2265625,
-5.90625,
-0.71044921875,
8.171875
] | [
3.154296875,
7.48046875,
0.54541015625,
3.931640625
] | 210 | 4,906 | [
-2.82421875,
3.10546875
] | 28.12777 | [
-5.33203125,
-4.0546875,
-4.07421875,
-2.041015625,
1.857421875,
10.8671875
] | 1.486919 | 20.399698 | 27.619242 | 2.932972 | [
2.6909241676330566
] | -17,848.090567 | 5.414798 | -28,125.508061 | 1.56597 | 5.99841 | [
-2.591796875,
-3.5546875,
-3.34765625,
-4.6328125,
2.234375,
11.4375
] | [
-4.72265625,
-1.498046875,
-2.146484375,
-0.5732421875,
3.11328125,
3.201171875
] | |
BkiUd3s5qoaAwrv3XHXU | \section{Introduction}
Removing different singularites from cosmological models is one of
important problems in physics that many scientists are trying to
solve it. Recently, it has been shown that replacing classical
trajectories or geodesics by their quantal (Bohmian) trajectories
leads to the
quantum Raychaudhuri ... | -50,660.9215 | [
-1.779296875,
1.71484375
] | 19.592875 | [
-3.703125,
0.477783203125,
-1.5625,
-4.02734375,
0.460693359375,
5.50390625
] | [
1.2890625,
8.4453125,
0.95703125,
3.943359375
] | 119 | 3,361 | [
-3.1328125,
3.693359375
] | 36.10492 | [
-5.2109375,
-3.55859375,
-3.41796875,
-1.673828125,
1.7197265625,
9.71875
] | 1.027749 | 19.546025 | 29.782803 | 5.106672 | [
2.404752492904663
] | -35,582.8228 | 6.947932 | -50,996.006855 | 0.445358 | 5.911124 | [
-2.640625,
-3.19921875,
-3.4765625,
-4.6484375,
2.1484375,
11.390625
] | [
-5.33984375,
-0.327880859375,
-1.1953125,
-0.145263671875,
2.658203125,
1.626953125
] | |
BkiUcU7xK6nrxrSHelSJ | \section{Introduction}
We can observe a wide variety of patterns,
such as in a traffic jam~\cite{Kikumako, Bando, Sugiyama}, a large-scale ordering of swimming bacteria~\cite{Peng, Nishi},
a swarm of mosquitoes, a parliament of birds and a school of fish~\cite{Vicsek, Vicsek2, Toner}, formed by living things as sel... | -20,536.808539 | [
-1.90234375,
2.083984375
] | 42.377261 | [
-3.064453125,
1.4794921875,
-1.2919921875,
-5.16015625,
-0.54931640625,
7.00390625
] | [
3.3828125,
4.7578125,
3.484375,
5.90234375
] | 237 | 3,588 | [
-3.326171875,
3.9609375
] | 27.325952 | [
-5.56640625,
-2.927734375,
-2.669921875,
-1.560546875,
1.5048828125,
8.8984375
] | 2.012329 | 1.448066 | 24.832776 | 1.343933 | [
2.6242618560791016
] | -14,471.994865 | 5.470736 | -20,136.149519 | 2.139691 | 5.572941 | [
-3.1640625,
-3.0078125,
-2.71875,
-3.662109375,
2.53125,
9.5625
] | [
-5.6796875,
-1.0029296875,
-1.6669921875,
-0.818359375,
2.8984375,
2.99609375
] | |
BkiUdEA4dbgj44SNlwfB | \section{Introduction}
The Tur\'an number of a graph $H$, denoted by $\text{ex}(n, H)$, is the maximum number of edges in an $n$-vertex graph that does not contain $H$ as a subgraph. Let $\text{EX}(n,H)$ denote the set of extremal graphs, i.e. the set of all $n$-vertex, $H$-free graph $G$ such that $e(G)=\text{ex}(n,H)... | -82,743.22486 | [
-2.1640625,
1.875
] | 24.763194 | [
-3.025390625,
1.70703125,
-1.7373046875,
-5.171875,
-1.9697265625,
7.2421875
] | [
2.9765625,
9.1953125,
3.87890625,
7.62109375
] | 670 | 5,362 | [
-3.287109375,
3.703125
] | 46.900311 | [
-4.19140625,
-1.857421875,
-2.103515625,
-1.9580078125,
0.00196075439453125,
7.24609375
] | 1.05925 | 14.264338 | 21.708318 | 16.036741 | [
2.573378562927246
] | -56,685.84035 | 6.021447 | -82,096.252163 | 0.57918 | 5.848662 | [
-2.544921875,
-2.447265625,
-2.72265625,
-4.11328125,
1.873046875,
9.78125
] | [
-5.3125,
-0.281005859375,
-1.1865234375,
-0.6767578125,
2.3515625,
1.6357421875
] | |
BkiUd685qsNCPbQZ7v7Y | \section{Introduction}
Decision-directed (DD) carrier phase recovery (CPR)
\cite{gianni_compensation_2013} and the blind phase search (BPS)
algorithm \cite{pfau_hardware-efficient_2009} have been widely used in
optical coherent receivers to compensate the impact of laser phase
noise. The two-stage CPR scheme based on a... | -12,351.513195 | [
-2.865234375,
2.619140625
] | 8.461538 | [
-3.41796875,
0.66845703125,
-2.056640625,
-5.48046875,
-0.98828125,
7.8125
] | [
1.322265625,
7.78125,
0.4501953125,
4.08203125
] | 106 | 1,843 | [
-2.76953125,
3.330078125
] | 27.138493 | [
-6.390625,
-3.9765625,
-3.666015625,
-1.865234375,
2.20703125,
11.25
] | 1.326829 | 8.99236 | 30.005426 | 2.39347 | [
1.7875161170959473
] | -9,721.31867 | 5.561584 | -12,139.549178 | 2.663415 | 5.373243 | [
-2.876953125,
-3.78515625,
-4.015625,
-4.765625,
2.59375,
12.234375
] | [
-5.390625,
-1.46484375,
-2.37890625,
-1.7421875,
3.27734375,
4.5234375
] | |
BkiUaSLxK1UJ-rRH9lAT | \section{Introduction}
\label{sec-introduction}
The question of whether DNA conducts electric charges is intriguing to
physicists and biologists alike. The suggestion that electron transfer/transport in DNA might be
biologically important has triggered a series of experimental and
theoretical investigations
\cite{MurA... | -30,132.646539 | [
-2.828125,
2.6796875
] | 19.830329 | [
-2.892578125,
0.278564453125,
-2.052734375,
-5.91015625,
-0.55224609375,
8.3203125
] | [
3.81640625,
6.75,
3.791015625,
8.234375
] | 432 | 6,582 | [
-2.2265625,
2.2890625
] | 24.910482 | [
-6.23046875,
-3.982421875,
-3.755859375,
-2.060546875,
2.04296875,
11.421875
] | 0.918824 | 11.687642 | 22.409602 | 1.667963 | [
2.819152355194092
] | -21,665.585025 | 5.704649 | -29,590.370146 | 1.523383 | 5.959047 | [
-3.232421875,
-3.953125,
-3.66015625,
-4.55859375,
2.6015625,
11.953125
] | [
-5.796875,
-2.359375,
-2.765625,
-1.865234375,
3.748046875,
5.46875
] | |
BkiUfdk25V5jQ-dgBe0c | \section{Auxiliary lemmas}
\begin{lemma}[\cite{Ver2011rand,CSV:CPAM:13}]\label{lem:aux_lemma1}
Assume $\bm{a}_k\sim\mathcal{N}(0,\bm{I}_n)$, $k=1,\cdots,m$, are independent. Then
\begin{align*}
\frac{1}{2}\leq\left\|\frac{1}{m}\sum_{k=1}^m\bm{a}_k\bm{a}_k^\top\right\|\leq 2
\end{align*}
hold with probability at least $... | -237,481.596797 | [
-2.4375,
2.041015625
] | 15.078534 | [
-2.94921875,
2.38671875,
-1.57421875,
-5.5625,
-2.287109375,
7.16796875
] | [
-0.1412353515625,
8.015625,
-1.5341796875,
3.609375
] | 480 | 6,134 | [
-3.21875,
3.46875
] | 44.09974 | [
-5.015625,
-3.08984375,
-2.32421875,
-2.072265625,
1.3544921875,
7.890625
] | 0.644769 | 6.01784 | 28.317574 | 5.087955 | [
0.6361370086669922
] | -167,829.873626 | 10.189599 | -242,821.911241 | 0.486377 | 6.339427 | [
-2.54296875,
-3.3671875,
-3.98828125,
-5.875,
2.580078125,
12.515625
] | [
-5.07421875,
-0.29833984375,
-1.986328125,
-1.458984375,
2.068359375,
2.125
] | |
BkiUgCzxK4tBVhat6uVc | \section{Introduction}
Gravity, as the oldest force known to man has also had the longest history of trials and tribulations along the road to discovering its nature. Over the course of its development, it has
been witnessing a myriad of attempts to unlock its notoriously difficult and mysterious behavior
from the la... | -46,504.711349 | [
-3.2421875,
3.04296875
] | 18.087855 | [
-3.568359375,
0.43505859375,
-2.1640625,
-5.9140625,
-0.301025390625,
8.2265625
] | [
4.0078125,
7.33984375,
2.6796875,
5.83203125
] | 156 | 3,691 | [
-3.125,
3.27734375
] | 34.049844 | [
-5.6953125,
-4.41796875,
-4.8984375,
-2.388671875,
2.16015625,
12.4609375
] | 1.343812 | 7.341872 | 29.314549 | 5.269397 | [
3.619856834411621
] | -28,520.214931 | 6.653211 | -45,306.887339 | 0.582319 | 5.770418 | [
-2.326171875,
-3.8515625,
-3.96484375,
-5.14453125,
2.302734375,
12.65625
] | [
-5.0078125,
-1.599609375,
-1.9765625,
-0.99609375,
3.07421875,
3.572265625
] | |
BkiUeivxK7ICUyBu09mp |
\subsection{Pointwise surjective presentations of Deligne-Mumford stacks} \label{intermezzo}
\begin{notation} \label{notnot}
In this subsection, we fix a field $F$ which is either real closed or finite. For a scheme $S$, an algebraic stack $\mr X$ over $S$ and a scheme $T$ over $S$, we use the notation $|\mr X(T)|$ ... | -31,451.735756 | [
-2.77734375,
2.453125
] | 34.545455 | [
-2.68359375,
0.6171875,
-2.224609375,
-4.52734375,
-1.2197265625,
7.37890625
] | [
2.80859375,
9.3828125,
-0.2437744140625,
5.15625
] | 222 | 4,290 | [
-3.2109375,
3.630859375
] | 31.366616 | [
-5.24609375,
-3.115234375,
-5.09375,
-2.642578125,
1.35546875,
12.5546875
] | 0.578899 | 22.247297 | 22.307692 | 1.684307 | [
1.9503765106201172
] | -20,644.864675 | 4.831935 | -30,972.926479 | 0.506537 | 5.69499 | [
-1.748046875,
-3.140625,
-4.04296875,
-5.63671875,
1.7734375,
12.71875
] | [
-5.71875,
-0.9521484375,
-1.49609375,
-0.8828125,
3.21484375,
2.72265625
] | |
BkiUdog5qX_BwR884E6E | \section{Introduction}
Groups, like humans, move through successive phases; they tend to advance and regress \cite{tuckman1965}. A group is sometimes defined as three or more members that interact with each other to perform a number of tasks and achieve a set of common goals \cite{grupp}. A team, on the other hand, ha... | -37,432.290252 | [
-3.177734375,
3.013671875
] | 47.297297 | [
-3.591796875,
0.29931640625,
-2.55859375,
-4.91796875,
0.712890625,
7.40625
] | [
4.19921875,
5.7421875,
2.017578125,
9.8046875
] | 616 | 11,909 | [
-2.8671875,
2.916015625
] | 22.716796 | [
-5.59765625,
-2.619140625,
-3.51171875,
-1.53515625,
1.96484375,
10.5703125
] | 0.78193 | 22.626152 | 17.524561 | 2.137487 | [
2.987035036087036
] | -29,628.139599 | 5.691578 | -36,061.826375 | 0.610791 | 6.018676 | [
-4.53515625,
-3.328125,
-1.5703125,
-2.5,
3.326171875,
7.36328125
] | [
-5.71875,
-2.94140625,
-2.6953125,
-1.7587890625,
4.421875,
6.61328125
] | |
BkiUeHk4eIOjRxkyjMK- | \section{Introduction}
Person re-identification (re-ID)
is a
cross-camera image retrieval task, which aims to match persons of a given query
from an image gallery collected from disjoint cameras.
Many studies resort to deep metric
learning~\cite{hermans2017defense,zheng2017discriminatively}, or use classification loss... | -27,165.308342 | [
-1.94921875,
1.8525390625
] | 45.182724 | [
-3.259765625,
0.175048828125,
-2.103515625,
-4.46484375,
-0.411376953125,
7.2265625
] | [
2.591796875,
6.48828125,
1.16796875,
5.19921875
] | 486 | 4,667 | [
-2.896484375,
3.4609375
] | 31.117054 | [
-6.9140625,
-5.0234375,
-5.05859375,
-1.8486328125,
3.0546875,
13.5859375
] | 0.301831 | 30.520877 | 30.147847 | 5.828894 | [
1.9584068059921265
] | -19,667.238045 | 6.389115 | -26,387.41018 | 0.633845 | 6.177366 | [
-2.974609375,
-3.751953125,
-3.421875,
-4.078125,
2.57421875,
11.1953125
] | [
-5.57421875,
-1.8896484375,
-2.22265625,
-1.400390625,
3.638671875,
4.7734375
] | |
BkiUddg4eIXhqTbAaFox |
\section{Problem overview}
\label{sec:intro}
Fault Tree Analysis (FTA) is an analytical tool aimed at modelling and evaluating how complex systems may fail. FTA is widely used as a risk assessment tool in safety and reliability engineering for a broad range of industries including aerospace, power plants, nuclear pl... | -8,259.288843 | [
-2.04296875,
1.990234375
] | 63.50365 | [
-6.828125,
-4.76171875,
-2.310546875,
-7.640625,
1.8916015625,
12.15625
] | [
2.0625,
7.17578125,
2.666015625,
8.6171875
] | 120 | 1,590 | [
-3.224609375,
3.796875
] | 27.324841 | [
-6.55859375,
-6.05078125,
-3.7109375,
-0.61328125,
3.630859375,
10.4453125
] | 0.667557 | 24.335229 | 40 | 5.308187 | [
2.674135684967041
] | -6,245.889483 | 5.181761 | -8,151.552194 | 0.485496 | 5.699217 | [
-3.197265625,
-4.1015625,
-3.908203125,
-3.806640625,
3.51953125,
10.1640625
] | [
-7.6796875,
-5.37109375,
-3.205078125,
-2.443359375,
5.16015625,
8.5625
] | |
BkiUdPQ5qU2Ap2aRxr1x | \section{Introduction}
Considerable attention has recently been devoted to the study of non-trivial physics arising from strong spin-orbit coupling (SOC).
Such studies were initiated by theoretical proposals of topological insulators with conducting surface states protected by time reversal (TR) symmetry~\cite{KanePRL... | -32,830.488513 | [
-2.83984375,
2.564453125
] | 37.711069 | [
-3.185546875,
0.05633544921875,
-2.1953125,
-5.34765625,
-0.1763916015625,
8.4375
] | [
3.650390625,
8.796875,
4.0234375,
5.34375
] | 358 | 5,689 | [
-3.05859375,
3.53515625
] | 28.082746 | [
-6.27734375,
-4.0625,
-3.953125,
-2.48046875,
2.09375,
11.96875
] | 0.489057 | 17.090219 | 24.468272 | 2.45959 | [
1.9492939710617065
] | -21,943.784088 | 5.750747 | -31,726.425402 | 0.831397 | 6.051651 | [
-2.955078125,
-3.970703125,
-3.869140625,
-4.921875,
2.537109375,
12.546875
] | [
-5.55078125,
-1.8095703125,
-2.2578125,
-1.279296875,
3.525390625,
4.35546875
] | |
BkiUeE84dbghfPG8YGA- | \section{Introduction}
\label{sec:introduction}
We recently derived a unified continuum formulation based on the Gibbs free energy in order to construct a well-behaved continuum model in both compressible and incompressible regimes \cite{Liu2018}. This modeling approach naturally recovers important continuum models, in... | -37,656.284638 | [
-3.34765625,
3.046875
] | 32.962963 | [
-3.552734375,
0.35546875,
-1.7978515625,
-6.45703125,
-0.92822265625,
8.71875
] | [
4.328125,
9.1171875,
1.8935546875,
6.734375
] | 198 | 4,493 | [
-1.640625,
1.357421875
] | 29.200126 | [
-6.33203125,
-4.46875,
-4.76171875,
-2.083984375,
2.369140625,
12.5703125
] | 0.82981 | 20.617505 | 27.487202 | 2.50635 | [
1.2291476726531982
] | -25,153.211496 | 5.63254 | -37,097.525971 | 0.663848 | 6.01592 | [
-2.8359375,
-3.75,
-4.109375,
-5.31640625,
2.49609375,
13.015625
] | [
-5.53515625,
-2.138671875,
-2.625,
-1.9990234375,
3.8046875,
4.96484375
] | |
BkiUd3DxK0iCl2n1_xgR | \section{Introduction}\label{sec:1}
This is the companion paper to \cite{Hodges.Yong}. That work studies multiplicity-freeness of
key polynomials in the context of \emph{spherical Schubert geometry}. We refer the reader to it for
additional motivation and references about the main result, Theorem~\ref{thm:mfKey}.
... | -112,979.606176 | [
-1.6875,
1.3828125
] | 32.727273 | [
-3.45703125,
0.72021484375,
-2.05859375,
-6.1015625,
-0.669921875,
8.4453125
] | [
2.884765625,
8.6953125,
1.017578125,
5.66796875
] | 709 | 8,528 | [
-3.171875,
3.439453125
] | 41.934854 | [
-5.10546875,
-3.228515625,
-3.923828125,
-2.19140625,
1.263671875,
10.3828125
] | 0.72507 | 14.972172 | 18.972795 | 4.241141 | [
0.981480062007904
] | -72,340.944957 | 5.498593 | -111,367.027642 | 0.853024 | 6.112323 | [
-1.826171875,
-2.953125,
-3.8828125,
-5.4609375,
2.08203125,
12.125
] | [
-6.1796875,
-1.4970703125,
-2.2578125,
-1.3603515625,
3.080078125,
3.533203125
] | |
BkiUdks4eIXhtfm3PaaF | \section{Introduction}
A prevalent idea in modern sensory neuroscience is that early sensory systems invert generative models of the environment to infer the hidden causes or latent variables that have produced sensory observations. Perhaps the simplest form of such inference is \emph{maximum a posteriori} inference, o... | -27,900.529846 | [
-3.26953125,
3.01171875
] | 25.806452 | [
-2.783203125,
0.548828125,
-2.466796875,
-6.01171875,
-1.146484375,
8.1328125
] | [
4.45703125,
8.890625,
1.8642578125,
8.5234375
] | 160 | 3,685 | [
-3.30078125,
3.82421875
] | 25.835781 | [
-6.09765625,
-4.75,
-4.578125,
-2.017578125,
2.248046875,
12.3125
] | 0.829944 | 10.871768 | 26.865672 | 0.877113 | [
1.8242950439453125
] | -18,614.190819 | 6.539484 | -27,741.070752 | 0.497967 | 5.871428 | [
-2.548828125,
-3.6484375,
-3.939453125,
-4.984375,
2.453125,
12.234375
] | [
-5.1953125,
-2.048828125,
-2.58203125,
-2.04296875,
3.521484375,
5.390625
] | |
BkiUegW6NNjgBpvICryI | \section{Introduction}
\label{sec:introduction}
Many decision-making problems arising from real-world applications can be
formulated using \textit{Mixed Integer Programming (MIP)}. The
\textit{Branch-and-Bound} (\bnb{}) framework is a general approach to solving
MIPs
to global optimality. Over the recent ye... | -38,390.590233 | [
-2.39453125,
2.3984375
] | 17.387305 | [
-2.84765625,
0.93212890625,
-1.5166015625,
-5.11328125,
-1.13671875,
7.4375
] | [
2.6015625,
6.8203125,
1.19921875,
7.8671875
] | 731 | 7,137 | [
-2.609375,
2.791015625
] | 32.634709 | [
-6.125,
-4.52734375,
-4.47265625,
-1.849609375,
2.47265625,
11.796875
] | 0.53197 | 4.294373 | 22.01205 | 8.790998 | [
2.53840970993042
] | -24,455.210728 | 5.399468 | -38,158.201872 | 0.256903 | 6.131522 | [
-2.494140625,
-3.3984375,
-3.63671875,
-4.75390625,
2.603515625,
11.609375
] | [
-6.02734375,
-2.5625,
-2.466796875,
-1.5126953125,
3.763671875,
5.23046875
] | |
BkiUbPvxK3xgpfdGOOo4 | \section{Introduction}
Type Ia supernovae (SNIa) are characterized by the lack of H--lines and the presence of Si II--lines in their optical spectra during the maximum of light as well as by the presence of Fe emission features during the nebular phase. Their optical light curve displays a sudden rise to the maximum f... | -10,303.127196 | [
-3.51171875,
3.12109375
] | 33.112583 | [
-3.185546875,
-0.01026153564453125,
-2.09765625,
-5.7109375,
-0.328369140625,
8.609375
] | [
3.296875,
6.828125,
3.953125,
4.484375
] | 109 | 2,349 | [
-2.8203125,
3.142578125
] | 31.304882 | [
-6.0703125,
-3.123046875,
-2.990234375,
-2.1953125,
1.4482421875,
10.546875
] | 1.907265 | 23.780629 | 35.632184 | 11.604023 | [
2.697719097137451
] | -8,028.896528 | 5.022137 | -9,945.85896 | 0.593371 | 5.742329 | [
-3.740234375,
-3.728515625,
-2.83984375,
-3.7265625,
2.5703125,
10.5
] | [
-6.09375,
-2.642578125,
-2.599609375,
-1.9345703125,
3.8359375,
5.8125
] | |
BkiUeg7xK1yAgWay6G6r | \section{Introduction}
\noindent More than twenty five years ago, Shifman, Vainshtein and Zakharov
\cite{SVZ} proposed to use the Operator Product Expansion (OPE) in hadronic
current-current correlators to extend asymptotic predictions of QCD to low
energies. In this approach there appear universal vacuum expectation ... | -33,554.861821 | [
-2.884765625,
2.73046875
] | 10.47041 | [
-3.208984375,
0.348388671875,
-2.310546875,
-6.1796875,
-0.9140625,
8.3671875
] | [
2.50390625,
8.703125,
1.8251953125,
4.81640625
] | 435 | 4,075 | [
-3.537109375,
4.2109375
] | 33.265689 | [
-5.94921875,
-4.3046875,
-4.29296875,
-2.419921875,
1.587890625,
12.0234375
] | 1.401527 | 7.266629 | 28.834356 | 6.383218 | [
1.410524606704712
] | -21,335.066787 | 5.690552 | -33,081.67322 | 0.646858 | 5.89028 | [
-2.654296875,
-3.84765625,
-3.599609375,
-4.7578125,
2.32421875,
12.109375
] | [
-4.94140625,
-1.771484375,
-2.150390625,
-1.2548828125,
3.173828125,
4.16015625
] | |
BkiUdeQ5qhDBeSTLE1qD |
\section{Introduction}
Stereo algorithms benefit enormously from benchmarks~\cite{scharstein2002taxonomy}. They provide quantitative evaluation to encourage competition and track progress. Despite great progress over the past years, many challenges still remain unsolved, such as transparency, specularity, lack of tex... | -16,089.792455 | [
-0.134521484375,
0.5546875
] | 68.683274 | [
-2.7265625,
0.5673828125,
-2.43359375,
-4.69921875,
-0.392822265625,
7.4140625
] | [
3.646484375,
6.21484375,
2.728515625,
6.3984375
] | 334 | 4,799 | [
-0.759765625,
0.70654296875
] | 19.944406 | [
-6.67578125,
-4.375,
-4.6171875,
-1.970703125,
2.640625,
12.890625
] | 1.803956 | 49.494793 | 25.609502 | 1.842767 | [
2.813260316848755
] | -13,683.13685 | 6.098979 | -15,989.580125 | 0.584236 | 5.971376 | [
-3.36328125,
-3.697265625,
-2.8984375,
-3.767578125,
2.869140625,
10.3828125
] | [
-5.91015625,
-2.716796875,
-3.087890625,
-2.166015625,
4.0546875,
6.91796875
] | |
BkiUc1o5qsFAf3AH_2ic | \section{Introduction}
The classical Kuramoto model \cite{kuramoto,strogatz} describes a
collection of globally coupled phase oscillators that exhibits a
transition from incoherence to synchronization as the coupling
strength is increased past a critical value. Since real world
networks typically have a more complex ... | -39,854.153574 | [
-3.390625,
2.98828125
] | 21.836735 | [
-2.947265625,
0.71435546875,
-2.396484375,
-6.3359375,
-1.482421875,
8.609375
] | [
3.029296875,
8.0078125,
1.7841796875,
6.44140625
] | 418 | 6,673 | [
-3.466796875,
4.015625
] | 27.077111 | [
-6.234375,
-4.69140625,
-4.453125,
-2.48828125,
1.9921875,
12.6015625
] | 1.553222 | 13.970792 | 17.278585 | 1.311127 | [
1.3530325889587402
] | -26,244.690685 | 5.451221 | -39,324.506263 | 1.58896 | 5.718963 | [
-2.3671875,
-3.716796875,
-4.015625,
-5.2734375,
2.302734375,
12.6875
] | [
-5.765625,
-2.060546875,
-2.634765625,
-1.5244140625,
3.427734375,
4.62109375
] | |
BkiUdkE5qoTBG46msLyS | \section{Introduction}
\label{sec:intro}
Strong gravitational lensing of extragalactic sources by intervening galaxies or galaxy clusters are exquisite astrophysical probes. The observed fluxes of these sources are often strongly affected by random microlensing, collectively caused by many compact masses embedded with... | -63,754.698243 | [
-2.984375,
2.83984375
] | 39.252336 | [
-3.271484375,
0.05322265625,
-2.16796875,
-6.37109375,
-0.9921875,
8.96875
] | [
4.4375,
7.484375,
3.396484375,
5.9296875
] | 451 | 8,350 | [
-3.2109375,
3.505859375
] | 29.371663 | [
-6.55078125,
-4.87109375,
-5.15625,
-2.890625,
2.1875,
14.1015625
] | 0.64747 | 21.079482 | 23.015208 | 2.468642 | [
1.8776394128799438
] | -41,258.303922 | 6.658802 | -63,318.406121 | 0.593515 | 6.228977 | [
-2.76171875,
-3.845703125,
-4.0390625,
-4.91796875,
2.271484375,
12.5234375
] | [
-5.46484375,
-2.896484375,
-2.669921875,
-2.06640625,
3.72265625,
6.53515625
] | |
BkiUc5M4ubngxRYeLfPK | \section{Introduction}
Language-based interactions are an integral part of our everyday life. Reinforcement learning (RL) is a promising technique for developing agents that act in real-life scenarios, such as dialog systems. However, training these agents is difficult due to missing feedback or reward signals. Because... | -21,005.450836 | [
-2.7890625,
2.669921875
] | 46.855346 | [
-3.615234375,
0.1119384765625,
-2.1171875,
-5.1484375,
0.1800537109375,
7.40234375
] | [
2.943359375,
6.55859375,
2.083984375,
8.15625
] | 315 | 4,340 | [
-1.1904296875,
1.037109375
] | 25.256891 | [
-6.58984375,
-4.4296875,
-4.94140625,
-2.28515625,
2.8046875,
13.0703125
] | 0.808774 | 28.96535 | 27.626728 | 3.429808 | [
2.0966081619262695
] | -14,723.050141 | 5.840323 | -20,540.101382 | 0.607567 | 5.909455 | [
-2.794921875,
-3.701171875,
-3.544921875,
-4.4921875,
2.689453125,
11.546875
] | [
-5.6328125,
-2.21484375,
-2.1875,
-1.67578125,
3.73046875,
5.11328125
] | |
BkiUdjI5qoaAwm0PHENQ | \section{Introduction}
The quantum Liouville equation (also referred to as the von Neumann equation) describes the evolution of a (possibly infinite) statistical ensemble of quantum particles. The main object of interest is the \textit{density operator}, denoted by $u$ in the sequel, which is in general a trace class, ... | -77,775.860926 | [
-2.734375,
2.44921875
] | 23.303835 | [
-3.013671875,
0.499267578125,
-2.232421875,
-6.47265625,
-1.1005859375,
9.2734375
] | [
3.947265625,
9.9609375,
0.646484375,
7.09375
] | 304 | 6,789 | [
-3.56640625,
4.203125
] | 37.592965 | [
-5.5625,
-4.46875,
-5.53125,
-2.79296875,
1.9638671875,
14
] | 0.64338 | 7.427795 | 21.416998 | 2.640099 | [
2.013072967529297
] | -47,927.100173 | 5.494624 | -78,326.34925 | 0.600488 | 6.02131 | [
-1.5927734375,
-3.40234375,
-4.20703125,
-5.9140625,
1.8603515625,
13.4140625
] | [
-5.609375,
-2.337890625,
-2.501953125,
-1.7197265625,
4.03515625,
5.08203125
] | |
BkiUbFnxK6wB9k0iJjLU |
\section{Discussion} \label{sec:conclusion}
In the current status,
the time complexity of duel-and-sweep algorithm for 2d-OPPM problem in Theorem~\ref{thm:duel2D} is not better than straightforward reduction to 1d-OPPM problem explained in Theorem~\ref{thm:2dOPPM}.
We showed this result as a preliminary work on solvin... | -38,639.841085 | [
-1.404296875,
1.419921875
] | 42.95416 | [
-3.0703125,
1.189453125,
-1.373046875,
-4.44140625,
-1.1923828125,
6.4453125
] | [
-1.31640625,
4.625,
-0.94091796875,
3.09765625
] | 290 | 4,282 | [
-3.6953125,
4.28125
] | 35.890736 | [
-5.984375,
-4.0703125,
-3.6953125,
-1.6396484375,
2.234375,
10.875
] | 0.424297 | 14.408907 | 23.890705 | 3.597245 | [
1.209185004234314
] | -24,933.895752 | 5.228865 | -38,770.100769 | 0.714605 | 5.911556 | [
-2.2421875,
-3.123046875,
-3.61328125,
-4.8515625,
2.33984375,
11.4453125
] | [
-5.82421875,
-1.8359375,
-1.951171875,
-1.466796875,
3.525390625,
4.05859375
] | |
BkiUdro4dbjiU7z3Zt3l | \section{Introduction}
Recent advances in Unmanned Aerial Vehicles (UAVs) have led to many new applications for aerial vehicles. These include search {\color{black}and} rescue, last-mile delivery, and surveillance, {\color{black}and they benefit from the small size and maneuverability of quadrotors}. Furthermore, many ... | -44,465.512641 | [
-2.6796875,
2.748046875
] | 35.520685 | [
-3.85546875,
-0.00879669189453125,
-1.86328125,
-5.015625,
-0.5087890625,
7.93359375
] | [
2.544921875,
6.69921875,
2.708984375,
7.421875
] | 678 | 7,955 | [
-2.15625,
2.28515625
] | 28.195853 | [
-6.3359375,
-4.5078125,
-4.6015625,
-2.1328125,
2.564453125,
12.578125
] | 0.368362 | 21.999835 | 24.537962 | 5.196076 | [
2.49542498588562
] | -28,409.844714 | 6.142678 | -44,203.162717 | 0.58324 | 6.304301 | [
-2.39453125,
-3.51953125,
-3.96484375,
-4.85546875,
2.4375,
11.9140625
] | [
-5.65625,
-1.8994140625,
-2.28125,
-1.4521484375,
3.73828125,
4.97265625
] | |
BkiUdgI5qU2Ap6C-CPW4 | \section{Introduction}
The study of quantum gases trapped and controlled by optical potentials has expanded rapidly in recent years \cite{bloch2008,lewenstein2012}, as they provide a clean and versatile way to realise and observe many-body quantum dynamics, enabling quantum simulation of models from condensed matter an... | -31,819.155384 | [
-2.6171875,
2.45703125
] | 39.841689 | [
-2.76171875,
0.143310546875,
-2.611328125,
-6.12109375,
-0.75341796875,
9.1796875
] | [
5.4140625,
8.4453125,
3.427734375,
7.1640625
] | 359 | 8,373 | [
-2.5546875,
2.73046875
] | 23.327838 | [
-6.31640625,
-4.6484375,
-5.28515625,
-2.498046875,
2.265625,
13.4921875
] | 1.135309 | 22.473679 | 19.63454 | 1.689543 | [
1.745775818824768
] | -22,185.800566 | 6.048847 | -30,977.254399 | 0.213241 | 5.967998 | [
-2.634765625,
-4.12890625,
-4.1015625,
-5.078125,
2.501953125,
13.078125
] | [
-5.3125,
-2.388671875,
-2.70703125,
-2.095703125,
3.9609375,
5.796875
] | |
BkiUd1w5qdmDNqo3lLj8 | \section{Introduction}
With the help of a 3+1 decomposition Einstein's equations can be split
into a set of constraint equations and a set of evolution equations
\cite{Arnowitt-Deser-Misner:1962,York:1979}. The four constraint
equations -- one in the Hamiltonian constraint and three in the
momentum constraint -- cons... | -35,821.597782 | [
-3.1953125,
2.787109375
] | 20.044543 | [
-2.44140625,
0.82958984375,
-2.033203125,
-5.8359375,
-1.515625,
7.8671875
] | [
3.380859375,
8.8984375,
1.5751953125,
6.16796875
] | 343 | 5,205 | [
-3.37109375,
3.94921875
] | 28.081577 | [
-5.66015625,
-4.3125,
-4.92578125,
-2.2578125,
1.89453125,
12
] | 0.782873 | 11.350473 | 25.43708 | 2.784962 | [
2.2747693061828613
] | -22,861.066832 | 6.012488 | -35,544.701389 | 0.869148 | 5.975687 | [
-2.19140625,
-3.59375,
-3.91015625,
-4.9140625,
2.056640625,
12.15625
] | [
-5.25,
-2.2265625,
-2.57421875,
-1.6845703125,
3.669921875,
4.71484375
] | |
BkiUbhDxK1ThhAcYi2os | \section{Introduction}
In quantum networking, the spectra produced by the photon sources is critical to their performance. For quantum teleportation~\cite{quanttel} and entanglement swapping~\cite{entswappaper}, the photons entering the intermediate measurement system (Bell-state measurement~\cite{PhysRevA.51.R1727}) n... | -16,394.253057 | [
-2.79296875,
2.626953125
] | 57.03125 | [
-2.873046875,
0.78125,
-2.1328125,
-5.28125,
-1.0478515625,
8.171875
] | [
3.525390625,
7.5078125,
3.203125,
6.1796875
] | 281 | 4,168 | [
-1.8369140625,
1.5810546875
] | 23.101112 | [
-6.20703125,
-3.630859375,
-3.5078125,
-1.8828125,
1.9189453125,
11.171875
] | 3.39948 | 32.873747 | 25.887716 | 2.525661 | [
2.588526725769043
] | -13,028.529717 | 5.900192 | -16,050.919851 | 1.524886 | 5.904937 | [
-3.283203125,
-3.88671875,
-3.552734375,
-4.27734375,
2.61328125,
11.7109375
] | [
-5.54296875,
-2.169921875,
-2.298828125,
-2.046875,
3.5625,
5.8203125
] | |
BkiUcS05qsNCPdQKtx6y | \section{Introduction}
In this paper, we consider a long-standing open problem in the applied probability literature: what is the quadrant occupation time of planar Brownian motion? This question had intrigued Larry Shepp since 1995 (see \cite{SheppSem}). Formally, let $T$ be the total time that the vector process $X(t... | -22,475.939451 | [
-3.16796875,
2.876953125
] | 34.40367 | [
-3.6171875,
0.0418701171875,
-2.19921875,
-6.05078125,
-0.4189453125,
8.4921875
] | [
3.498046875,
8.8671875,
1.9443359375,
6.48046875
] | 70 | 1,403 | [
-3.509765625,
3.919921875
] | 33.578586 | [
-5.7265625,
-3.818359375,
-3.87890625,
-2.3125,
1.76171875,
11.2890625
] | 0.712613 | 22.617993 | 41.411262 | 2.679798 | [
1.2639049291610718
] | -15,235.27169 | 7.001426 | -22,114.946114 | 0.692253 | 5.611661 | [
-2.412109375,
-3.380859375,
-3.82421875,
-5.328125,
2.37109375,
12.328125
] | [
-4.96875,
-1.86328125,
-2.1953125,
-1.7138671875,
3.21875,
4.203125
] | |
BkiUceLxK7Ehm4qsz--k | \section{Introduction}
Let $T$ be a tree with vertex set $V(T)=\{1,\hdots,n\}$ and edge set $E(T)=\{e_1,\hdots,e_{n-1}\}$. If two vertices $i$ and $j$ are adjacent, we write $i\sim j$. Let us assign an orientation to each edge of $T$. Two edges $e_i=(p,q)$ and $e_j=(r,s)$ of $T$ are \textit{ similarly oriented} if $d(... | -64,277.746859 | [
-2.427734375,
2.056640625
] | 17.161716 | [
-4.0625,
0.8720703125,
-1.91015625,
-7.296875,
-1.220703125,
10.40625
] | [
1.673828125,
8.1484375,
0.875,
7.20703125
] | 245 | 4,203 | [
-3.408203125,
3.66796875
] | 45.676398 | [
-5.46484375,
-3.376953125,
-3.888671875,
-2.130859375,
1.431640625,
10.8828125
] | 1.132093 | 8.728966 | 18.796098 | 13.13921 | [
2.027026414871216
] | -42,109.492865 | 5.254104 | -62,926.3387 | 0.66567 | 5.424712 | [
-2.427734375,
-3.16015625,
-3.83203125,
-5.46875,
2.173828125,
12.3671875
] | [
-6.65625,
-2.302734375,
-2.345703125,
-1.8642578125,
3.95703125,
5.296875
] | |
BkiUdJM4eIXhrsEtjj7U | \section{Introduction}
The apparent excess of the number of galaxies at faint magnitudes in the blue relative to predictions of
non-evolving models, even in the most favourable case of an open Universe, is
a longstanding
problem of cosmology.
Various scenarios have been proposed to solve this problem
in a flat Unive... | -10,554.888148 | [
-3.279296875,
2.978515625
] | 22.382671 | [
-2.44921875,
0.5302734375,
-2.05859375,
-5.00390625,
-0.92333984375,
7.56640625
] | [
4.46484375,
7.2734375,
2.455078125,
6.0546875
] | 192 | 2,236 | [
-2.5234375,
2.822265625
] | 26.682455 | [
-6.0859375,
-4.2734375,
-4.2578125,
-2.404296875,
1.7880859375,
12.8046875
] | 1.035107 | 5.889269 | 31.753131 | 4.347498 | [
1.7709091901779175
] | -8,748.559793 | 5.184705 | -10,277.337035 | 0.759079 | 5.624881 | [
-3.279296875,
-3.66796875,
-2.828125,
-3.71484375,
2.357421875,
10.5703125
] | [
-5.484375,
-2.263671875,
-2.43359375,
-1.3720703125,
3.61328125,
5.21875
] | |
BkiUcfTxK3YB9m7_9jKX | \section{Introduction}
The {\it Kepler} satellite was launched in March 2009 with the
primary goal to search for transiting exoplanets in the solar
neighbourhood. It delivers single band-pass light curves of
micromagnitude precision and has found hundreds of planet
candidates \citep{Borucki}. The long, uninterrupted, ... | -55,141.599311 | [
-2.67578125,
2.595703125
] | 13.668224 | [
-3.685546875,
1.2744140625,
-1.0830078125,
-6.06640625,
-0.65966796875,
7.1796875
] | [
4.46875,
6.40234375,
4.04296875,
6.5
] | 1,215 | 6,013 | [
-2.96484375,
3.12109375
] | 47.049069 | [
-4.80078125,
-0.8759765625,
-1.0205078125,
-2.138671875,
-0.1680908203125,
6.53515625
] | 1.092606 | 9.659443 | 28.804257 | 17.21693 | [
2.331019878387451
] | -40,708.295117 | 5.631798 | -53,338.753413 | 0.283487 | 6.292674 | [
-4.44921875,
-2.876953125,
-2.2421875,
-3.158203125,
2.205078125,
8.9453125
] | [
-6.83203125,
-2.232421875,
-2.75,
-1.228515625,
3.68359375,
5.44921875
] | |
BkiUaQ_xK7kjXLlzZUCO | \section{Introduction}
\subsection{Definitions}
In this section, we present definitions and notations for the terms that are used in the paper. The reader can refer to \cite{StraubeBook} for the details of these and other definitions.
Let $\Omega$ be a bounded pseudoconvex domain in $\mathbb{C}^n$ and let $L^2_{(0,q)... | -31,523.955312 | [
-2.193359375,
1.8447265625
] | 57.368421 | [
-2.353515625,
1.0927734375,
-2.640625,
-6.0859375,
-1.19140625,
9.09375
] | [
1.8310546875,
7.8125,
-0.796875,
6
] | 200 | 3,297 | [
-3.548828125,
4.1328125
] | 32.184066 | [
-5.01953125,
-3.607421875,
-4.984375,
-2.517578125,
1.3935546875,
12.6015625
] | 0.459418 | 35.623995 | 24.446466 | 2.657736 | [
1.5040473937988281
] | -21,192.846255 | 6.139824 | -31,285.194935 | 1.333794 | 5.589396 | [
-1.4970703125,
-3.27734375,
-3.951171875,
-5.484375,
1.822265625,
12.484375
] | [
-5.71484375,
-1.76953125,
-2.322265625,
-1.24609375,
3.78125,
4.234375
] | |
BkiUa484ubnjoscfMt0K | \section{Introduction}
Due to the multidisciplinary cross-application in seismic exploration \cite{weglein2003inverse}, medical imaging \cite{zhou2020bayesian} and so on, the inverse problems of partial differential equations (PDEs) have undergone an enormous development over the past few decades \cite{arridge2019solv... | -133,567.468843 | [
-2.638671875,
2.421875
] | 42.29798 | [
-2.642578125,
0.84619140625,
-2.056640625,
-4.84765625,
-0.8232421875,
7.3515625
] | [
2.958984375,
8.8203125,
1.2470703125,
6.54296875
] | 735 | 13,670 | [
-3.453125,
3.96484375
] | 32.486119 | [
-6.3515625,
-5.26953125,
-5.4765625,
-2.287109375,
2.875,
14.1640625
] | 0.494183 | 11.944368 | 17.790783 | 2.060711 | [
2.294869899749756
] | -76,703.142857 | 6.43921 | -133,069.624845 | 0.604381 | 6.352406 | [
-2.380859375,
-3.88671875,
-4.19921875,
-5.00390625,
2.298828125,
12.8515625
] | [
-5.77734375,
-2.287109375,
-2.248046875,
-1.1337890625,
3.779296875,
4.99609375
] | |
BkiUfJjxK7IDPjMdLaEo | \section{Introduction}
\label{sec:introduction}
In the graph drawing literature, the problem of finding
aesthetically pleasant drawings of graphs has been extensively
studied. The graph drawing community has introduced and studied
several criteria that judge the quality of a graph drawing, such as
the number of crossi... | -59,944.154188 | [
-3.064453125,
2.80078125
] | 16.207455 | [
-2.896484375,
1.65625,
-1.5888671875,
-4.48828125,
-1.1259765625,
6.3984375
] | [
3.4140625,
5.9765625,
2.31640625,
7.46875
] | 446 | 8,099 | [
-2.41015625,
2.56640625
] | 28.307164 | [
-5.48828125,
-3.294921875,
-3.962890625,
-1.74609375,
1.5869140625,
10.9140625
] | 0.995824 | 10.911731 | 13.606618 | 1.560544 | [
2.3141860961914062
] | -45,161.060353 | 5.765527 | -59,321.109012 | 1.753935 | 5.594559 | [
-1.8837890625,
-3.03125,
-3.646484375,
-4.828125,
2.181640625,
11.34375
] | [
-5.62109375,
-1.912109375,
-2.53125,
-1.6171875,
3.689453125,
5.00390625
] | |
BkiUduk4uzlhiT5TDMs- | \section{INTRODUCTION}
In 1968, the first satellite, OAO2, capable of UV observations was launched. Till then, due to atmospheric extinction, the astronomical studies in the ultraviolet spectral region were not possible. Later on other satellites like TD-1, Astronomical Netherland satellite (ANS) and International Ultr... | -32,471.421138 | [
-2.86328125,
2.765625
] | 27.881041 | [
-3.701171875,
1.11328125,
-1.634765625,
-5.69921875,
-0.2315673828125,
7.25
] | [
2.353515625,
6.546875,
4.734375,
6.125
] | 881 | 6,935 | [
-3.228515625,
3.81640625
] | 30.867742 | [
-5.734375,
-2.12109375,
-2.447265625,
-1.853515625,
1.0205078125,
9.2265625
] | 1.260163 | 18.59493 | 22.95602 | 13.597954 | [
3.110809087753296
] | -23,205.711749 | 5.320836 | -31,091.13552 | 0.926829 | 6.025142 | [
-4.04296875,
-3.62109375,
-2.49609375,
-3.103515625,
2.6875,
9.53125
] | [
-6.23828125,
-2.009765625,
-2.337890625,
-1.001953125,
3.884765625,
4.75
] | |
BkiUdNU5qoYAv4ZEv7IX | \section{Introduction}
Let $n\geq 2$, and $d\geq 1$. The \emph{configuration} space of $n$ points in
the $d$-dimensional euclidean space $E=\mathbb{R}^d$ is defined as
\[
\conf{n}{E} = \{ \simbolovettore{q} \in E^n : \simbolovettore{q}_i \neq \simbolovettore{q}_j \},
\]
where $\simbolovettore{q} = (\simbolovettore{q}... | -72,768.857159 | [
-2.255859375,
1.828125
] | 19.288538 | [
-3.2578125,
0.71435546875,
-2.216796875,
-6.12109375,
-1.1279296875,
8.546875
] | [
1.1220703125,
7.3046875,
-0.317626953125,
4.65625
] | 192 | 4,964 | [
-2.390625,
2.1484375
] | 40.38545 | [
-5.37109375,
-3.578125,
-3.87890625,
-2.23828125,
1.5849609375,
10.4921875
] | 0.616283 | 9.680942 | 23.146656 | 8.075551 | [
1.9105489253997803
] | -44,407.88155 | 6.210717 | -71,802.791989 | 0.463834 | 5.997792 | [
-2.37890625,
-3.181640625,
-3.90625,
-5.33203125,
2.287109375,
11.8359375
] | [
-5.44140625,
-1.296875,
-1.640625,
-0.908203125,
2.7109375,
2.681640625
] | |
BkiUcArxK4sA-46xM22m |
\section{Introduction}
Optimization is a way of finding the best solutions to most of the problems encountered in real life. On a regular basis we encounter problems where we try to minimize efforts and maximize outcomes \cite{ABUALIGAH2021113609} on an action, may it be driving to work on a specific road at a specif... | -40,845.594595 | [
-0.1468505859375,
0.6953125
] | 22.916667 | [
-4.3046875,
-0.1668701171875,
-1.82421875,
-4.328125,
1.0830078125,
6.4765625
] | [
2.263671875,
5.1484375,
1.955078125,
7.46875
] | 493 | 5,505 | [
-1.8564453125,
1.935546875
] | 27.90928 | [
-5.6171875,
-2.638671875,
-2.537109375,
-0.99365234375,
1.8798828125,
8.1171875
] | 0.38921 | 19.748522 | 28.135778 | 5.160014 | [
3.2236781120300293
] | -27,353.853687 | 6.767484 | -39,283.970994 | 1.733995 | 6.235686 | [
-3.681640625,
-3.0546875,
-2.568359375,
-3.498046875,
2.80078125,
9.2578125
] | [
-6.3984375,
-2.37890625,
-2.220703125,
-1.162109375,
4.28515625,
5.3203125
] | |
BkiUc3o5qWTA9fx-_3o2 | \section{Introduction}
\label{intro}
Wigner function has been originally introduced in deformation quantization of classical mechanics as the substitute of probability density in ordinary quantum mechanics. However, it may take negative values, so that it is considered as the quasiprobability distribution which provid... | -95,182.800064 | [
-2.37890625,
2.291015625
] | 22.322322 | [
-2.22265625,
0.8076171875,
-1.9716796875,
-4.70703125,
-0.85986328125,
6.77734375
] | [
1.8115234375,
8.546875,
2.05078125,
4.61328125
] | 367 | 9,441 | [
-3.02734375,
3.4453125
] | 32.984099 | [
-5.6484375,
-3.8515625,
-4.46875,
-2.4609375,
1.7890625,
12.296875
] | 0.533838 | 9.150289 | 21.205381 | 1.807663 | [
2.791227102279663
] | -57,769.265255 | 5.654804 | -94,149.127325 | 0.387735 | 6.300417 | [
-2.2578125,
-3.880859375,
-3.96875,
-5.16796875,
2.12890625,
12.796875
] | [
-5.20703125,
-1.3642578125,
-2.154296875,
-0.478271484375,
3.23828125,
2.78515625
] | |
BkiUfQDxK6Ot9TMSsrGw | \section{Background and Motivation}
\label{}
Clustered sensor networks can be classified into two broad types; homogeneous and heterogeneous sensor networks. In homogeneous networks all sensor nodes are identical in terms of energy and hardware complexity. With purely static clustering in a homogeneous network, it is ... | -13,227.174216 | [
-0.7236328125,
1.28125
] | 41.496599 | [
-4.3671875,
0.151123046875,
-1.3583984375,
-2.62109375,
1.1298828125,
4.2265625
] | [
0.6748046875,
5.66015625,
0.332763671875,
4.859375
] | 179 | 2,310 | [
-1.9990234375,
1.9140625
] | 25.291629 | [
-6.421875,
-3.853515625,
-3.25390625,
-1.4248046875,
2.66796875,
10.0234375
] | 1.521555 | 24.780883 | 24.112554 | 1.510078 | [
2.8684732913970947
] | -10,019.701176 | 5.121212 | -13,169.407872 | 0.338123 | 5.393983 | [
-3.587890625,
-3.52734375,
-2.763671875,
-3.6171875,
2.923828125,
9.65625
] | [
-5.65625,
-0.73681640625,
-1.259765625,
-0.421875,
3.263671875,
2.654296875
] | |
BkiUbJs5qsJBjdcnyyrp |
\section{Introduction}
In his seminal work \cite{G1}, Greenberg laid out a conjectural
Iwasawa theory for a motive $M$ at an {\it ordinary} prime $p$. His
ordinary hypothesis had the effect of drastically simplifying the
$p$-adic Hodge theory of $M$, while on the other hand being expected
to hold for a dense set of ... | -93,702.276604 | [
-2.859375,
2.56640625
] | 22.741555 | [
-2.4296875,
0.2900390625,
-2.646484375,
-6.140625,
-0.9619140625,
9.1875
] | [
4.2734375,
9.7734375,
1.736328125,
5.46484375
] | 913 | 16,637 | [
-3.126953125,
3.677734375
] | 31.89825 | [
-4.66015625,
-3.74609375,
-5.4921875,
-2.1171875,
1.609375,
12.8671875
] | 0.614624 | 14.501426 | 15.868245 | 1.150111 | [
1.3499823808670044
] | -56,367.284657 | 5.036425 | -93,752.737321 | 0.290007 | 6.285162 | [
-1.0576171875,
-3.041015625,
-3.765625,
-5.22265625,
1.783203125,
11.7890625
] | [
-5.75390625,
-2.01171875,
-2.111328125,
-0.951171875,
4.01171875,
4.09765625
] | |
BkiUdIbxaKgTr7hAWSu9 | \section{Introduction}
\label{sec:1}
Deeply virtual exclusive pseudoscalar meson production can be described within QCD factorization,
through the convolution of Generalized Parton Distributions (GPDs) and hard scattering amplitudes (Fig.\ref{fig1}).
Although a full proof of factorization theorems was given only fo... | -68,086.262178 | [
-2.91796875,
2.712890625
] | 27.633379 | [
-3.76953125,
-0.17236328125,
-1.9326171875,
-6.09375,
-0.265380859375,
8.53125
] | [
1.7373046875,
9.0078125,
2.361328125,
4.546875
] | 471 | 9,293 | [
-3.0859375,
3.638671875
] | 34.045834 | [
-5.9140625,
-3.80078125,
-4.32421875,
-2.537109375,
1.71484375,
11.875
] | 0.774798 | 13.671926 | 20.294846 | 3.780213 | [
1.8245465755462646
] | -39,551.915407 | 5.485957 | -67,282.882355 | 0.823836 | 6.266379 | [
-2.609375,
-3.912109375,
-4.10546875,
-5.17578125,
2.1640625,
12.8515625
] | [
-5.66015625,
-1.58984375,
-1.65625,
-0.72705078125,
3.3125,
3.5078125
] | |
BkiUa-7xK7FjYAb_44Lg | \section{Introduction}
Let $X_A$ denote the adjacency matrix of a random $(d_b, d_w)$-biregular graph with off-diagonal blocks $A, A^{\ast}$. Here, we assume $A$ is a matrix of size $M \times N$ with $M \geq N$. We define the normalized empirical spectral distributions of $d_w^{-1} A^{\ast}A$ and $d_w^{-1/2} X_A$ to be... | -108,791.631576 | [
-2.646484375,
2.36328125
] | 24.130879 | [
-2.73828125,
0.53857421875,
-2.546875,
-6.890625,
-1.3623046875,
10.015625
] | [
1.564453125,
9.828125,
-0.07568359375,
4.30859375
] | 526 | 11,352 | [
-3.42578125,
3.978515625
] | 34.00265 | [
-5.81640625,
-4.48828125,
-5.30859375,
-2.5546875,
1.95703125,
13.5078125
] | 2.136209 | 6.860477 | 15.072234 | 1.097681 | [
0.9628667831420898
] | -61,891.645483 | 5.195825 | -108,317.382248 | 0.84092 | 6.010931 | [
-1.9453125,
-3.5703125,
-4.20703125,
-5.59765625,
2.080078125,
12.9453125
] | [
-5.8671875,
-2.771484375,
-2.791015625,
-2.31640625,
4.40625,
6.2734375
] | |
BkiUeVHxK6mkyCfODULn | \section{\bf Introduction}
A quantum equivalence between the six-dimensional $N=(2,0)$ theory of multiple
fivebranes compactfied on a circle $S^1$
and five-dimensional maximally supersymmetric Yang Mills has been conjectured
by Douglas and Lambert {\it et al.}
in \cite{Douglas, Lambert}. In this paper we will study an... | -78,190.212099 | [
-2.951171875,
2.708984375
] | 11.979167 | [
-2.708984375,
0.3408203125,
-2.123046875,
-5.64453125,
-0.92724609375,
7.98828125
] | [
3.013671875,
10.140625,
1.9580078125,
5.0703125
] | 168 | 5,829 | [
-3.619140625,
4.05078125
] | 40.254573 | [
-5.328125,
-3.396484375,
-4.1015625,
-2.453125,
1.15234375,
10.9609375
] | 0.863504 | 5.01393 | 24.635443 | 5.212338 | [
0.8913747668266296
] | -50,490.270427 | 5.463544 | -77,998.41437 | 0.816403 | 6.205087 | [
-2.251953125,
-3.62109375,
-3.8515625,
-5.1484375,
2.150390625,
12.46875
] | [
-5.46484375,
-1.4482421875,
-1.8359375,
-0.348876953125,
3.09765625,
2.79296875
] | |
BkiUfX45qhDCKmWYM-EV | \section{Introduction}
Cohesive zone models (CZMs) were pioneered by Dugdale \cite{174} and Barenblatt \cite{173} and have been extensively employed to study the delamination process. In CZMs traction-separation laws are employed to describe the interface interactions as well as any associated dissipation. These model... | -13,534.579878 | [
-3.6015625,
3.216796875
] | 29.92126 | [
-5.875,
-3.408203125,
-3.787109375,
-9.2890625,
0.8193359375,
13.9765625
] | [
3.60546875,
8.3203125,
2.677734375,
6.9375
] | 107 | 1,595 | [
-3.2421875,
3.71484375
] | 28.294574 | [
-6.296875,
-5.41796875,
-3.59765625,
-1.275390625,
2.953125,
10.7734375
] | 0.771446 | 13.816354 | 35.213033 | 3.519956 | [
1.8271470069885254
] | -9,450.565986 | 6.095298 | -13,241.144422 | 2.653775 | 5.629545 | [
-2.984375,
-4.08984375,
-4.2578125,
-4.6015625,
2.927734375,
11.53125
] | [
-6.9609375,
-5.140625,
-3.734375,
-2.99609375,
5.17578125,
8.96875
] | |
BkiUbZs5qsNCPeN2Ew74 | \section{Status of ASACUSA's antihydrogen program}
ASACUSA (Atomic Spectroscopy And Collisions Using Slow Antiprotons)
is one of several collaborations
studying antimatter at the antiproton decelerator at CERN.
The majority of experiments in this area compare antimatter properties
to those of their matter counterpa... | -7,598.195991 | [
-2.60546875,
2.529296875
] | 27.488152 | [
-6.70703125,
-4.98828125,
-3.1484375,
-9.015625,
3.005859375,
13.8671875
] | [
2.470703125,
6.6328125,
4.734375,
5.71484375
] | 75 | 1,143 | [
-2.326171875,
2.48046875
] | 27.501918 | [
-6.6171875,
-5.6640625,
-2.841796875,
-0.76123046875,
3.375,
9.3828125
] | 1.029563 | 10.817372 | 44.269466 | 2.463206 | [
1.9857754707336426
] | -5,957.629448 | 5.948381 | -7,383.404914 | 1.397264 | 5.487217 | [
-3.166015625,
-3.99609375,
-3.841796875,
-4.0546875,
2.71875,
10.109375
] | [
-6.9453125,
-4.4296875,
-3.19140625,
-2.267578125,
4.99609375,
7.82421875
] | |
BkiUdcY4ubnhAqznNmjA | \section{Introduction}
Quantum entanglement, which is one of the quintessential features of quantum theory and a manifestation of nonlocality of quantum mechanics~\cite{R01,R02}, shows stronger correlations than classically explainable~\cite{R03,R04}. It is of great importance for quantum information science and funda... | -28,331.435269 | [
-3.041015625,
2.787109375
] | 34.394904 | [
-3.34375,
0.4951171875,
-2.228515625,
-5.61328125,
-1.0029296875,
9
] | [
3.955078125,
8.875,
3.84765625,
6.90234375
] | 158 | 3,454 | [
-1.8125,
1.6376953125
] | 29.487862 | [
-6.0078125,
-3.62890625,
-3.380859375,
-1.8349609375,
1.88671875,
10.703125
] | 1.331924 | 21.619282 | 22.09033 | 3.127227 | [
3.0750393867492676
] | -20,876.983379 | 5.477707 | -28,875.926448 | 1.427061 | 5.516143 | [
-2.67578125,
-3.63671875,
-4.1484375,
-5.20703125,
2.369140625,
12.7265625
] | [
-5.6484375,
-1.6064453125,
-2.4765625,
-1.3642578125,
3.537109375,
4.671875
] | |
BkiUe5c4uzliDEmfgyVZ | \section{Introduction
The graded center of a $k$-linear triangulated category $({\mathcal{C}};\Sigma)$ over a commutative
ring $k$ is the graded $k$-module $Z^*({\mathcal{C}}) = Z^*({\mathcal{C}};\Sigma)$ which in degree $n\in {\mathbb{Z}}$
consists of all $k$-linear natural transformations $\varphi : \mathrm{Id}_{\ma... | -59,106.015434 | [
-2.587890625,
2.3046875
] | 25.981873 | [
-2.216796875,
0.99169921875,
-2.3203125,
-6,
-1.21875,
8.390625
] | [
3.251953125,
10.5390625,
1.103515625,
5.55859375
] | 368 | 7,137 | [
-3.267578125,
3.916015625
] | 31.847122 | [
-5.07421875,
-3.83203125,
-5.6015625,
-2.822265625,
1.580078125,
13.484375
] | 0.626043 | 12.571672 | 18.831442 | 1.855121 | [
1.5646028518676758
] | -36,006.604114 | 5.371445 | -58,720.294316 | 0.511269 | 5.942227 | [
-1.439453125,
-3.171875,
-4.140625,
-5.625,
1.775390625,
12.671875
] | [
-5.10546875,
-1.2578125,
-1.6181640625,
-0.88818359375,
2.953125,
2.89453125
] |
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