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BkiUdvE4eIfiUWiFdbiw | \subsection{Isolated S(Se)-edge band in MoSe$_{2}$, WS$_{2}$ and WSe$_{2}$
from DFT calculations}
\begin{figure}[tbph]
\centering
\includegraphics[width=0.99\textwidth]{mos2_cmb.eps}\newline
\caption{Left: DFT MoS$_{2}$ zigzag ribbon band structure, without SOC;
Right: Zoom in of the Se-edge band bottom, with SOC. }
\... | -1,961.174329 | [
-0.396484375,
0.446533203125
] | 12.5 | [
-8.703125,
1.4111328125,
9.984375,
1.9501953125,
0.95751953125,
-10.9609375
] | [
-0.83837890625,
5.6796875,
0.158203125,
1.4248046875
] | 10 | 83 | [
-2.732421875,
3.697265625
] | 28.957055 | [
6.38671875,
8.125,
3.447265625,
-3.646484375,
-5.8671875,
-6.44921875
] | 12.060302 | 16.542599 | 42.168675 | 1.66776 | [
1.3297353982925415
] | -1,629.944745 | 7.192771 | -1,934.915481 | 8.040201 | 3.391857 | [
-4.96875,
-3.70703125,
-1.28515625,
0.7763671875,
3.55859375,
2.96484375
] | [
-5.640625,
-2.0625,
-1.189453125,
0.01424407958984375,
3.388671875,
1.3349609375
] | |
BkiUdb44dbjiU9oEeWKt | \section{Introduction}
\smallskip
The question of existence of conformal metrics of constant or more generally prescribed curvature on riemannian manifolds is a recurrent problem in differential geometry and geometric analysis. Indeed a positive or a negative answer to such a question has far reaching cons... | -154,369.188339 | [
-2.380859375,
2.197265625
] | 30.821206 | [
-3.494140625,
0.75244140625,
-2.033203125,
-6.11328125,
-0.859375,
8.21875
] | [
3.76171875,
9.03125,
1.115234375,
5.4453125
] | 540 | 9,571 | [
-3.5234375,
3.91015625
] | 38.795535 | [
-5.44921875,
-4.04296875,
-4.890625,
-2.548828125,
1.7060546875,
12.5546875
] | 0.605369 | 12.647271 | 25.953401 | 2.842884 | [
1.7331242561340332
] | -90,314.711449 | 7.145335 | -153,364.535069 | 0.807159 | 6.379017 | [
-1.8994140625,
-3.455078125,
-4.11328125,
-5.40625,
1.923828125,
12.6875
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-2.185546875,
-1.037109375,
3.4765625,
3.3984375
] | |
BkiUd0E5qhDBdMC-Fcd6 | \section{Supplemental Material: \\ Sign-changing photon-mediated atomic interactions in multimode cavity QED}
\subsection{Spectrum of a confocal cavity}
Within paraxial optics, the beam inside a Fabry-Perot cavity is described by Hermite-Gaussian modes. A mode $\Phi_{Q,l,m}$ is labeled by one longitudinal index $Q$ ... | -11,232.844488 | [
-3.212890625,
2.998046875
] | 29.87013 | [
-7.046875,
-4.40625,
-2.4296875,
-10.03125,
0.57958984375,
14.234375
] | [
2.265625,
8.03125,
2.19140625,
5.13671875
] | 55 | 1,129 | [
-3.375,
3.966796875
] | 31.670984 | [
-5.31640625,
-4.01171875,
-2.83984375,
-1.3798828125,
1.9013671875,
8.546875
] | 0.998464 | 19.492032 | 43.578388 | 2.151065 | [
3.1166553497314453
] | -7,571.034708 | 5.766165 | -10,967.794082 | 0.506912 | 5.50255 | [
-2.623046875,
-3.771484375,
-4.56640625,
-5.3125,
2.462890625,
12.2890625
] | [
-6.5,
-4.25,
-3.291015625,
-2.09765625,
4.39453125,
6.78515625
] | |
BkiUdPA4dbgg3Wyis_JT | \section{Introduction} \label{sec:1}
Active Galactic Nuclei (AGN) and black hole X-ray binaries (XRBs) are both powered by gas accretion on to central black holes. Their observational properties are thought to be determined mainly by the fundamental parameters of black hole, such as mass and spin, together with the ... | -42,351.612971 | [
-3.630859375,
3.326171875
] | 38.85918 | [
-3.783203125,
1.2138671875,
-1.193359375,
-5.94140625,
-1.1259765625,
8.0234375
] | [
2.81640625,
7,
2.72265625,
5.3515625
] | 920 | 9,641 | [
-3.3515625,
3.70703125
] | 34.774782 | [
-6.18359375,
-2.703125,
-2.576171875,
-2.181640625,
1.1630859375,
9.96875
] | 0.763802 | 3.093778 | 19.62045 | 22.240329 | [
3.0763978958129883
] | -29,592.979564 | 5.36407 | -40,494.760294 | 0.440878 | 6.083903 | [
-4.171875,
-3.30859375,
-2.6640625,
-3.583984375,
2.46484375,
10.125
] | [
-7.14453125,
-2.80078125,
-2.61328125,
-2.19140625,
4.2421875,
6.671875
] | |
BkiUdILxK7FjYAb_67PT | \section{Introduction}
Atmospheric neutrinos have contributed significantly to our understanding of neutrino properties and, in the emerging field of neutrino astronomy, they constitute the main source of background. A high precision calculation of their flux is, therefore, paramount to achieve the ambitious physics g... | -10,655.543137 | [
-3.376953125,
3.13671875
] | 42.857143 | [
-2.798828125,
0.290283203125,
-2.404296875,
-6.09375,
-1.1328125,
9.09375
] | [
4.18359375,
8.4765625,
4.38671875,
7.3671875
] | 151 | 2,458 | [
-2.796875,
2.869140625
] | 25.279337 | [
-6.90625,
-4.94140625,
-4.96875,
-2.685546875,
2.404296875,
13.90625
] | 0.820608 | 22.791403 | 33.360456 | 4.17229 | [
2.6187286376953125
] | -8,341.184871 | 5.701383 | -10,351.29855 | 0.470958 | 5.723614 | [
-3.2265625,
-3.947265625,
-3.384765625,
-4.34765625,
2.443359375,
11.65625
] | [
-6,
-3.5703125,
-3.126953125,
-2.912109375,
4.4609375,
8.0234375
] | |
BkiUfYzxK6-gD5TlfjZo | \section*{Acknowlegements}
We thank Livio Baldini Soares, Kenton Lee, Tom Kwiatkowski, Ilya Eckstein and others at Google Research for insightful discussions. This work is partially supported by NSF Awards IIS-1513966/ 1632803/1833137, CCF-1139148, DARPA Awards\#: FA8750-18-2-0117, FA8750-19-1-0504, DARPA-D3M - Award ... | -31,678.204772 | [
0.247314453125,
0.417236328125
] | 52.021563 | [
-2.5390625,
1.1357421875,
-1.9951171875,
-5.4296875,
-1.13671875,
7.7734375
] | [
-0.004711151123046875,
3.271484375,
-0.08331298828125,
2.33203125
] | 384 | 6,910 | [
-2.1328125,
2.451171875
] | 21.538952 | [
-5.6328125,
-3.05078125,
-3.314453125,
-1.806640625,
1.740234375,
10.3359375
] | 0.427006 | 36.067881 | 21.143271 | 1.188575 | [
1.1885628700256348
] | -24,333.191699 | 6.100434 | -31,203.729552 | 1.660578 | 6.007914 | [
-2.865234375,
-3.560546875,
-3.681640625,
-4.48046875,
2.79296875,
11.65625
] | [
-6.01171875,
-2.298828125,
-2.666015625,
-2.123046875,
4.0390625,
6.12890625
] | |
BkiUdZY5qrqCyq8KqH5a | \section{Introduction}
In profiling radar systems, range resolution is determined by transmitted signal bandwidth. Synthetic bandwidth technique provides high-range-resolution (HRR) capability by transmitting a series of pulses with various carrier frequencies. Within each pulse, the bandwidth is small. The benefit of ... | -14,980.26078 | [
-2.55859375,
2.41015625
] | 29.910714 | [
-3.41796875,
0.007568359375,
-2.029296875,
-4.8671875,
-0.1904296875,
7.3828125
] | [
1.4443359375,
7.07421875,
1.470703125,
5.13671875
] | 188 | 2,339 | [
-2.541015625,
2.974609375
] | 24.078517 | [
-5.95703125,
-3.4921875,
-3.40625,
-1.7978515625,
2.021484375,
10.2734375
] | 0.93306 | 20.178804 | 31.081659 | 1.769764 | [
2.209501266479492
] | -10,655.804222 | 6.048311 | -14,547.542744 | 0.46653 | 5.754922 | [
-3.21484375,
-3.728515625,
-3.197265625,
-4.20703125,
2.60546875,
11.1796875
] | [
-5.11328125,
-1.4130859375,
-2.201171875,
-1.3154296875,
3.224609375,
4.05859375
] | |
BkiUcQrxK02iP15vfcUN | \section{Introduction}
Principal pivot transform (PPT, or simply pivot) is a matrix
transformation operation capable of partially (component-wise)
inverting a given matrix. PPT is originally motivated by the
well-known linear complementarity problem \cite{tucker1960}, and is
applied in many other settings such as mathe... | -44,745.591973 | [
-2.99609375,
2.7578125
] | 16.509927 | [
-2.44921875,
1.6630859375,
-1.8779296875,
-5.22265625,
-1.8662109375,
7.36328125
] | [
2.337890625,
8.140625,
2.083984375,
5.734375
] | 326 | 4,966 | [
-3.001953125,
3.513671875
] | 35.676276 | [
-4.62890625,
-2.892578125,
-4.08984375,
-2.27734375,
0.783203125,
10.484375
] | 0.54155 | 10.364483 | 20.720902 | 8.346476 | [
2.7331137657165527
] | -27,952.165738 | 5.391663 | -44,183.940242 | 0.903828 | 5.802729 | [
-2.345703125,
-3.033203125,
-3.46875,
-4.83203125,
2.046875,
11.4921875
] | [
-5.82421875,
-1.6513671875,
-2.2734375,
-1.3623046875,
3.35546875,
4.15625
] | |
BkiUd-7xK7IAD7XMJnpB | \section{Introduction}
\IEEEPARstart{F}{orthcoming} 5G and beyond wireless network architectures, promise an increase in transmission capacity by several times and much lower latency levels compared to current wireless networks, which will be achieved with the introduction of new radio spectrums, including millimeter w... | -42,902.18836 | [
-2.453125,
2.51171875
] | 43.543046 | [
-3.291015625,
0.61865234375,
-1.90234375,
-5.328125,
-0.2161865234375,
7.4921875
] | [
3.0546875,
6.8984375,
2.2734375,
5.6640625
] | 416 | 7,410 | [
-2.189453125,
2.208984375
] | 27.909868 | [
-6.23046875,
-3.884765625,
-4.0546875,
-2.173828125,
2.423828125,
11.9140625
] | 0.744986 | 30.204365 | 22.523617 | 3.800918 | [
2.6080095767974854
] | -26,749.782027 | 5.887314 | -42,193.526511 | 0.513467 | 6.071932 | [
-3.171875,
-3.5234375,
-3.45703125,
-4.484375,
2.74609375,
11.25
] | [
-5.35546875,
-2.400390625,
-2.33203125,
-2.302734375,
4.0546875,
5.671875
] | |
BkiUdC84eIZjfagW4Wnr | \section{Introduction}
\label{sec:intro}
Over the last few years, it has been realized that combining the power of dispersion relations and crossing symmetry leads to powerful constraints on the low energy expansion of 2-2 scattering \cite{snowsmat1,snowsmat2}. At the same time, to understand scattering of massless pa... | -99,277.063623 | [
-2.806640625,
2.583984375
] | 29.727273 | [
-3.001953125,
0.32958984375,
-2.15234375,
-5.24609375,
-0.64697265625,
8.109375
] | [
4.1171875,
9.65625,
3.26953125,
6.23046875
] | 551 | 10,552 | [
-2.34375,
2.525390625
] | 35.692381 | [
-5.55078125,
-4.22265625,
-4.80859375,
-2.328125,
1.81640625,
12.3125
] | 0.812671 | 18.130878 | 23.3605 | 5.099632 | [
1.5654466152191162
] | -52,166.761655 | 5.947309 | -98,331.703799 | 0.267703 | 6.439987 | [
-1.96484375,
-3.564453125,
-4.00390625,
-5.23046875,
1.998046875,
12.6484375
] | [
-5.51171875,
-2.15625,
-2.509765625,
-1.7177734375,
3.794921875,
5.6328125
] | |
BkiUbCM5jDKDx8o5qk9R | \section{Introduction}
Galaxies can have a complex kinematic structure, due to the
superimposition of multiple components that have different kinematics
and stellar populations, such as bulge and disk (in lenticulars and
spirals), host spheroid and polar ring (in polar ring galaxies), and
counter-rotating stellar disk... | -6,054.572871 | [
-3.375,
3.078125
] | 24.117647 | [
-5.69921875,
-4.04296875,
-3.544921875,
-9.1484375,
1.736328125,
14.5546875
] | [
3.701171875,
7.48046875,
2.25,
5.98046875
] | 60 | 1,131 | [
-3.509765625,
4.14453125
] | 21.203715 | [
-6.75,
-6.203125,
-3.9765625,
-0.623046875,
3.521484375,
11.2890625
] | 2.553319 | 19.191179 | 38.107869 | 1.953124 | [
2.802032709121704
] | -5,380.883799 | 5.886826 | -5,832.422605 | 2.162812 | 5.176353 | [
-3.810546875,
-4.77734375,
-3.888671875,
-3.099609375,
3.17578125,
9.875
] | [
-7.64453125,
-5.51171875,
-4.2890625,
-2.765625,
5.27734375,
10.046875
] | |
BkiUdafxaL3SuhsxKGrm | \section{Introduction}
Thermoelectric systems are heat engines which, by using the electron gas formed by their conduction electrons as a working fluid, directly convert a heat flux into electrical power and vice-versa, depending on the desired operation mode. In the linear regime, the coupling between heat and electri... | -25,076.873777 | [
-3.53125,
3.087890625
] | 39.875389 | [
-2.76953125,
0.3701171875,
-2.138671875,
-5.8359375,
-1.0908203125,
8.59375
] | [
4.84765625,
7.95703125,
3.294921875,
8.0703125
] | 288 | 5,709 | [
-3.552734375,
3.99609375
] | 23.008258 | [
-6.359375,
-4.40625,
-4.69921875,
-2.5,
2.177734375,
12.859375
] | 2.08935 | 31.222139 | 23.331582 | 2.022249 | [
3.379622220993042
] | -17,904.009634 | 5.700823 | -24,480.791429 | 0.718982 | 5.771836 | [
-2.802734375,
-3.9921875,
-3.671875,
-4.75390625,
2.44140625,
12.2265625
] | [
-4.96484375,
-2.3125,
-2.48046875,
-1.8349609375,
3.87109375,
5.55859375
] | |
BkiUbg05ixsDMJPI2xCB | \section{Rediscovery of Schr\"oder's integral formula}
In a recent article in the {\it Bulletin of the Korean Mathematical So\-ci\-ety} \cite{qi_02},
several results concerning the Bernoulli numbers of the second kind were presented.
We recall that these numbers (OEIS \seqnum{A002206} and \seqnum{A002207}),
wh... | -11,335.27485 | [
-2.322265625,
2.0625
] | 45.132743 | [
-5.60546875,
-3.2265625,
-2.978515625,
-8.1796875,
0.8837890625,
12.1171875
] | [
3.205078125,
7.33984375,
3.333984375,
5.73828125
] | 112 | 1,044 | [
-3.658203125,
4.1015625
] | 38.062032 | [
-5.171875,
-3.974609375,
-2.7109375,
-1.171875,
1.5400390625,
8.453125
] | 1.419334 | 1.447745 | 45.881226 | 5.085656 | [
1.7950966358184814
] | -7,957.646509 | 6.073755 | -11,333.117522 | 1.324712 | 5.616597 | [
-2.603515625,
-3.205078125,
-3.501953125,
-4.5625,
2.19921875,
10.4375
] | [
-6.9609375,
-3.751953125,
-2.822265625,
-1.2001953125,
4.484375,
6.0234375
] | |
BkiUdEU5qsBC4wbX-bkK |
\section{Superradiant phase transition in the quantum Rabi model}
In the limit of $\Omega/\omega\rightarrow \infty$, the Rabi Hamiltonian (hereafter, $\hbar=1$)
\begin{align}\label{eqS1}
H_{R}=\omega a^{\dag}a\left(|e\rangle\langle e|+|g\rangle\langle g|\right)+\Omega |e\rangle\langle e|+g(a^{\dag}+a)(|e\rangle\lang... | -41,846.346385 | [
-2.42578125,
2.083984375
] | 29.295154 | [
-3.41015625,
0.343994140625,
-1.412109375,
-6.48046875,
-0.87939453125,
8.8671875
] | [
1.7626953125,
8.9375,
0.038177490234375,
4.18359375
] | 231 | 2,702 | [
-3.40234375,
3.90625
] | 36.362433 | [
-5.76953125,
-3.818359375,
-3.51171875,
-2.439453125,
1.796875,
10.796875
] | 1.22807 | 11.017186 | 33.049593 | 2.941051 | [
1.4223026037216187
] | -27,143.507014 | 7.38342 | -41,204.674928 | 0.882206 | 5.689007 | [
-2.298828125,
-3.783203125,
-4.3359375,
-5.62890625,
2.47265625,
13.421875
] | [
-4.796875,
-1.2548828125,
-2.166015625,
-1.3857421875,
2.681640625,
3.458984375
] | |
BkiUbhg25V5hd-428xX- | \section{Introduction}
The representation theory of the $0$-Hecke algebra (also called
\emph{degenerate Hecke algebra}) was first studied by P.-N.~Norton~\cite{Norton.1979}
in type A and expanded to other types by
Carter~\cite{Carter.1986}. Using an analogue of Young symmetrizers, they
describe the simple and indecomp... | -119,987.958228 | [
-1.73046875,
1.4541015625
] | 23.547401 | [
-3.099609375,
0.466796875,
-2.21484375,
-6.5,
-0.73388671875,
9.3046875
] | [
3.572265625,
9.4375,
2.84765625,
5.48046875
] | 1,591 | 17,235 | [
-3.412109375,
4.171875
] | 34.569045 | [
-5,
-3.203125,
-4.87890625,
-2.234375,
1.4052734375,
12.0390625
] | 0.795554 | 11.454435 | 17.367597 | 3.406859 | [
1.822962999343872
] | -63,185.604027 | 5.32405 | -118,690.850075 | 0.27136 | 6.320689 | [
-1.625,
-3.140625,
-3.7578125,
-5.0703125,
1.9375,
12.0390625
] | [
-5.94140625,
-2.66796875,
-2.078125,
-1.162109375,
4.12890625,
5.0625
] | |
BkiUdGM4dbgg4JMhnNMO | \chapter{Acronyms}
\label{chap:abbrv}
\vspace{-0.5cm}
\begin{longtable}[l]{p{80pt} p{300pt}}
\toprule
\textbf{Acronym} & \textbf{Full Form} \\
\midrule
AR & Acceptance Rate \\
BCL & Bilateral Convolutional Layer\\
BI & Bilateral Inception\\
BNN & Bilateral Neural Network\\
BP & Belief Propagation \\
CMP & Consens... | -257,625.267817 | [
-0.861328125,
0.548828125
] | 23.898667 | [
-3.02734375,
1.298828125,
-1.3994140625,
-3.6484375,
-0.60791015625,
5.51171875
] | [
-1.1025390625,
3.51171875,
0.8232421875,
4.55859375
] | 5,579 | 60,871 | [
-2.859375,
3.19921875
] | 26.842706 | [
-5.1171875,
-1.7138671875,
-2.212890625,
-1.2607421875,
0.85009765625,
8.09375
] | 0.503091 | 13.733334 | 12.269233 | 4.388601 | [
1.5315643548965454
] | -151,982.170331 | 6.939084 | -253,088.100096 | 0.068184 | 6.911143 | [
-3.365234375,
-2.634765625,
-2.171875,
-3.375,
2.4296875,
8.8984375
] | [
-5.87890625,
-2.271484375,
-2.1875,
-1.1259765625,
3.71875,
5.0234375
] | |
BkiUbfvxK6Ot9TMSpOC0 | \section{Introduction}
In recent years, following the seminal works by several groups \cite{Almheiri2014Bulk,Mintun2015Bulk-Boundary,Pastawski2015Holographic,Freivogel2016Precursors} it has become clear that quantum error correction plays an important role in understanding how the bulk geometry of an AdS spacetime eme... | -34,229.203161 | [
-2.349609375,
2.25
] | 27.5 | [
-2.646484375,
1.83203125,
-1.31640625,
-4.62890625,
-1.6767578125,
6.4140625
] | [
2.931640625,
8.6015625,
1.3759765625,
4.609375
] | 317 | 6,987 | [
-3.490234375,
4.046875
] | 25.263685 | [
-5.296875,
-3.2265625,
-3.87109375,
-1.978515625,
0.9248046875,
10.28125
] | 1.162938 | 18.785536 | 21.225132 | 3.464916 | [
1.9006741046905518
] | -22,099.535965 | 5.661228 | -33,743.539794 | 0.36405 | 5.9763 | [
-2.490234375,
-3.41015625,
-3.671875,
-5.01953125,
2,
11.9609375
] | [
-5.37890625,
-1.703125,
-2.669921875,
-1.8251953125,
3.541015625,
4.9921875
] | |
BkiUbQY5qX_AY1OJK5_l | \section{introduction}
Hubbard model is proposed in 1963 \cite{hubbard}, and is now believed to have some relationship with
the theoretical mechanism of high temperature superconductivity. In the Hubbard model, except for
single electron hoping terms, there are also on-site interactions for electrons occupying the s... | -34,910.944614 | [
-2.697265625,
2.529296875
] | 31.868132 | [
-3.494140625,
0.4599609375,
-2.0546875,
-5.67578125,
-0.67333984375,
8.2734375
] | [
0.9189453125,
8.015625,
2.38671875,
5.6796875
] | 117 | 2,565 | [
-3.462890625,
4.19921875
] | 36.461295 | [
-5.828125,
-3.8203125,
-3.716796875,
-2.216796875,
1.8798828125,
10.8828125
] | 0.788382 | 9.384151 | 25.068226 | 2.347771 | [
2.4585540294647217
] | -24,456.152342 | 5.637427 | -34,404.247381 | 2.033195 | 5.504119 | [
-2.599609375,
-3.501953125,
-3.533203125,
-4.8515625,
2.306640625,
11.546875
] | [
-5.1328125,
-1.068359375,
-1.7861328125,
-1.1171875,
2.625,
2.9140625
] | |
BkiUd044eIXh4qTE56WZ | \section{Introduction}
\label{sec:intro}
Visual speech recognition is a way of understanding speech by observing only the lip movements without having access to the acoustic signal. Several works have been recently presented \cite{petridis2016deep,end2end_multiview,petridis2017deepVisualSpeech,assael2016lipnet,Chung_2... | -10,431.478824 | [
-1.4892578125,
1.708984375
] | 59.659091 | [
-2.876953125,
0.8779296875,
-1.876953125,
-4.69140625,
-0.93798828125,
7.32421875
] | [
2.294921875,
5.56640625,
1.5029296875,
6.328125
] | 208 | 2,649 | [
-2.244140625,
2.541015625
] | 22.940049 | [
-6.2578125,
-3.564453125,
-3.349609375,
-1.3359375,
2.037109375,
10.671875
] | 2.477121 | 41.592238 | 28.878822 | 5.55683 | [
2.949936866760254
] | -8,771.276833 | 5.486221 | -10,161.056981 | 1.032134 | 5.614849 | [
-3.62109375,
-3.201171875,
-2.318359375,
-3.4140625,
2.82421875,
9.3125
] | [
-6.54296875,
-3.0625,
-2.759765625,
-2.123046875,
4.3671875,
6.81640625
] | |
BkiUe5rxK03BfHDu5U-k | \section{Introduction}
It is widely believed that magnetic fluctuations are involved in the superconducting mechanism of the iron-based superconductors, but there is currently no complete understanding of the microscopic origin of magnetism or of its detailed relationship with superconductivity in these materials~\cit... | -18,261.01886 | [
-2.931640625,
2.748046875
] | 44.827586 | [
-3.1328125,
0.222412109375,
-2.16796875,
-6.22265625,
-0.599609375,
8.703125
] | [
3.16796875,
8,
4.45703125,
6.30859375
] | 245 | 3,514 | [
-2.873046875,
3.23046875
] | 25.952338 | [
-5.8046875,
-2.8359375,
-2.810546875,
-2.3828125,
1.1083984375,
10.28125
] | 0.908583 | 33.991987 | 27.376209 | 3.497957 | [
2.763270854949951
] | -14,370.46876 | 6.10757 | -17,971.34133 | 0.251607 | 5.795015 | [
-3.51953125,
-4.0078125,
-3.380859375,
-4.03125,
2.63671875,
11.2265625
] | [
-5.7578125,
-2.642578125,
-2.62109375,
-2.369140625,
3.87890625,
6.13671875
] | |
BkiUdMg4eIXhx5LdSlN- | \section{Introduction}
The issue of how to create open-ended evolution in an artificial
system is one the open problems in artificial life. This paper
examines two of the factors that have some bearing on this issue,
using the Tierra artificial life system\cite{Ray91}\footnote{Available
from http://www.his.atr.jp/\~... | -40,022.326471 | [
-1.3955078125,
1.6201171875
] | 17.801047 | [
-2.140625,
3.080078125,
-0.4501953125,
-3.35546875,
-1.2802734375,
3.609375
] | [
2.58984375,
6.578125,
2.298828125,
7.390625
] | 873 | 2,408 | [
-1.8876953125,
1.9658203125
] | 42.69564 | [
-4.1953125,
-1.986328125,
-2.24609375,
-2.47265625,
0.103271484375,
7.890625
] | 0.582666 | 16.210942 | 43.895349 | 36.842257 | [
2.510464906692505
] | -31,345.871129 | 8.552741 | -38,630.566321 | 0.961398 | 6.161446 | [
-3.494140625,
-2.6171875,
-2.021484375,
-3.28515625,
2.453125,
8.4140625
] | [
-5.14453125,
-0.422119140625,
-1.314453125,
-0.779296875,
2.77734375,
2.673828125
] | |
BkiUdmU5qhLAB-QFvl37 | \section{Introduction}
Deep learning, based on deep neural networks structures and elaborate optimization techniques, has achieved great successes and empirically outperformed classical machine learning methods such as kernel methods in many applications in areas of science and technology \cite{kingma2014adam,le2011op... | -48,274.453135 | [
-2.07421875,
2.091796875
] | 33.950617 | [
-3.630859375,
-0.027679443359375,
-2.306640625,
-6.33203125,
-0.189208984375,
9.1171875
] | [
3.51953125,
8.7734375,
2.59765625,
7.6015625
] | 203 | 4,759 | [
-2.658203125,
3.00390625
] | 33.260054 | [
-6.4609375,
-4.88671875,
-5.0078125,
-2.09375,
2.74609375,
13.4609375
] | 2.095152 | 21.421796 | 26.266022 | 2.484869 | [
2.484968662261963
] | -27,435.498266 | 6.037613 | -48,264.182883 | 3.100964 | 6.063891 | [
-2.521484375,
-3.74609375,
-3.9921875,
-5.2265625,
2.40625,
12.71875
] | [
-5.80859375,
-2.271484375,
-2.19921875,
-1.6552734375,
4.0703125,
5.2578125
] | |
BkiUc5XxK3YB9raXz91v | \section{Introduction}
Topological aspects of Fermi systems in solids and ultracold atoms~\cite{WXG,Nayak,ZHSC,Kane,A.Kitaev,Xiangtao}, such as quantum Hall effects~\cite{hall effect,hall effect2,hall effect3,hall effect4}, topological insulation, and topological superconductivity~\cite{TI, TI2}, have attracted much at... | -4,642.929035 | [
-2.857421875,
2.578125
] | 45.833333 | [
-7.31640625,
-5.359375,
-3.326171875,
-9.3671875,
2.07421875,
14.3125
] | [
4.625,
10.3046875,
4.9921875,
7.12890625
] | 24 | 527 | [
-3.37890625,
4.1171875
] | 22.163284 | [
-6.08984375,
-5.53125,
-3.822265625,
-0.9453125,
2.822265625,
10.203125
] | 1.473188 | 34.611469 | 49.905123 | 0.361106 | [
1.4970407485961914
] | -3,866.880662 | 6.440228 | -4,602.276821 | 4.419564 | 5.012276 | [
-2.232421875,
-3.982421875,
-5.18359375,
-4.5546875,
2.248046875,
11.703125
] | [
-6.58203125,
-4.390625,
-2.90234375,
-1.9755859375,
5.08203125,
6.6953125
] | |
BkiUbtg4uzlgqIdPjLwn | \section*{Introduction}
Multivariate polynomials and their bases appear in many combinatorial problems and one often needs to define a polynomial as a formal sum of elements that live in a specified basis. The usual implementation of multivariate polynomials is done as a tensor product of polynomials in one variable. ... | -45,205.684496 | [
-2.71484375,
2.623046875
] | 25.909753 | [
-3.4140625,
-0.060791015625,
-1.8291015625,
-5.640625,
-0.21923828125,
8.1796875
] | [
2.8515625,
6.30859375,
1.421875,
7.82421875
] | 263 | 5,507 | [
-1.5556640625,
1.0185546875
] | 38.349515 | [
-5.6875,
-3.35546875,
-3.369140625,
-1.43359375,
1.943359375,
9.71875
] | 0.305918 | 19.849856 | 20.174324 | 8.811724 | [
2.2346549034118652
] | -28,989.057455 | 4.629926 | -44,677.450374 | 2.800329 | 5.632068 | [
-2.61328125,
-3.064453125,
-2.95703125,
-4.29296875,
2.40234375,
10.6953125
] | [
-5.828125,
-1.9951171875,
-2.27734375,
-1.4677734375,
3.978515625,
5.00390625
] | |
BkiUb4bxaL3SuhzLnCaY | \section{Introduction}
The graphs in this paper are simple. Let $V(G)$ denote the vertex set of a graph $G$ and let $E(G)$ denote its edge set. If two distinct vertices $v_i, v_j \in V(G)$ are adjacent in $G$, we write $v_i\sim v_j$, otherwise, $v_i \not \sim v_j$. The \emph{adjacency matrix}, $A(G)=(a_{ij})$, of a gra... | -41,129.411419 | [
-2.42578125,
2.236328125
] | 45.210084 | [
-2.869140625,
1.0830078125,
-2.201171875,
-5.19921875,
-1.4423828125,
8.03125
] | [
2.25390625,
8.28125,
2.505859375,
7.31640625
] | 361 | 4,249 | [
-3.322265625,
3.9140625
] | 37.34977 | [
-4.64453125,
-2.751953125,
-3.625,
-2.265625,
0.91015625,
9.890625
] | 1.898261 | 28.161743 | 24.570487 | 5.906106 | [
2.3539483547210693
] | -25,849.462213 | 5.033655 | -40,992.954893 | 1.03329 | 5.812121 | [
-1.9375,
-2.8046875,
-3.62109375,
-5.1640625,
1.919921875,
11.7578125
] | [
-5.5625,
-1.0966796875,
-2.083984375,
-1.369140625,
3.052734375,
3.779296875
] | |
BkiUc_w25V5ih3AxzUJY | \section{Introduction}
This paper is intended as the first in a series \cite{tian-xiao2, tian-xiao3}, in which we study the Goren-Oort stratification for quaternionic Shimura varieties. The purpose of this paper is to give a global description of the strata, saying that they are in fact $(\mathbb{P}^1)^r$-bundles ove... | -573,233.889207 | [
-2.578125,
2.2890625
] | 45.615866 | [
-2.232421875,
0.517578125,
-2.359375,
-6.03125,
-1.2939453125,
8.84375
] | [
3.0078125,
9.0703125,
1.73828125,
5.19140625
] | 2,202 | 41,798 | [
-3.46875,
4.109375
] | 36.724499 | [
-4.76171875,
-3.986328125,
-5.59375,
-2.4765625,
1.369140625,
13.125
] | 0.390641 | 18.797686 | 13.780564 | 1.657935 | [
0.7358545064926147
] | -365,706.229143 | 6.828748 | -578,904.423701 | 0.154154 | 6.646653 | [
-1.2294921875,
-3.2734375,
-3.98828125,
-5.81640625,
1.7080078125,
12.625
] | [
-5.46484375,
-1.58984375,
-2.1875,
-1.2275390625,
3.337890625,
3.314453125
] | |
BkiUdKg4uBhhxJVAbSlB | \section{Introduction}
Quantum theory predicts that vacuum is never at rest.
On average, the electromagnetic field of vacuum has no amplitude, but quantum vacuum fluctuations impose a fundamental uncertainty in its value.
This is notably captured in the ground-state energy of a harmonic oscillator (HO) $\hbar\omega_... | -18,725.011509 | [
-3.58203125,
3.091796875
] | 61.009174 | [
-2.490234375,
0.8544921875,
-1.8173828125,
-5.515625,
-1.1416015625,
8.0546875
] | [
4.3359375,
9.1796875,
3.638671875,
7.5625
] | 150 | 2,721 | [
-3.57421875,
4.23046875
] | 25.592187 | [
-5.96875,
-4.35546875,
-4.359375,
-2.5625,
1.921875,
12.296875
] | 1.284147 | 14.966247 | 28.419118 | 1.550117 | [
2.7055633068084717
] | -13,254.313063 | 6.296215 | -18,384.612654 | 0.776325 | 5.543645 | [
-2.595703125,
-3.916015625,
-3.7890625,
-4.88671875,
2.3359375,
12.4140625
] | [
-5.171875,
-1.8642578125,
-2.15625,
-1.5595703125,
3.08203125,
4.30859375
] | |
BkiUfS45qhLBlnv5FwQt |
\section{Background and Related Work}
\label{sec:Background and Related Work}
In the following it is briefly introduced the background of the theory and technologies behind the framework. Furthermore, it is described the developments and ideas of the existing literature in the same area of research.
\subsection{G... | -36,714.788361 | [
-0.908203125,
1.140625
] | 43.828265 | [
-2.826171875,
1.5009765625,
-0.366455078125,
-3.841796875,
-0.0723876953125,
4.4296875
] | [
0.71923828125,
5.2421875,
0.54541015625,
6.2265625
] | 287 | 6,596 | [
-1.90234375,
1.8369140625
] | 23.04801 | [
-5.51171875,
-2.734375,
-2.767578125,
-1.0869140625,
2.017578125,
8.5546875
] | 1.529781 | 6.463858 | 21.710127 | 0.261721 | [
2.2992944717407227
] | -26,883.634316 | 6.045331 | -35,728.255864 | 0.361129 | 5.824848 | [
-3.12890625,
-3.099609375,
-3.09765625,
-3.76953125,
2.923828125,
9.765625
] | [
-5.6171875,
-1.935546875,
-1.6259765625,
-1.0283203125,
3.78125,
4.19140625
] | |
BkiUdjg5qoTA-AMJsvsi | \section{Introduction}
\subsection{Background and main results}
The critical cohomological Hall algebra $\HO(\mathcal{A}_{B,W})$ associated with a smooth algebra $B$ and potential $W\in B/[B,B]$ was introduced by Kontsevich and Soibelman in \cite{KS2} as a way of categorifying the theory of Donaldson--Thomas invariants... | -332,074.599114 | [
-2.2421875,
2.072265625
] | 19.445749 | [
-2.583984375,
0.9033203125,
-2.23828125,
-5.828125,
-1.330078125,
8.53125
] | [
4.0546875,
10.40625,
1.6611328125,
6.25
] | 960 | 17,032 | [
-3.439453125,
4.04296875
] | 36.321318 | [
-5.390625,
-4.25,
-6.234375,
-2.8984375,
1.7373046875,
14.7421875
] | 0.49014 | 7.558152 | 21.295209 | 0.644935 | [
1.2747740745544434
] | -231,302.603536 | 8.684652 | -332,690.285297 | 0.47121 | 6.391486 | [
-1.4384765625,
-3.50390625,
-4.30859375,
-5.71875,
1.8251953125,
13.1796875
] | [
-5.359375,
-1.71875,
-2.189453125,
-0.94091796875,
3.67578125,
3.810546875
] | |
BkiUeAY5qsMAI5yh7a-M |
\section{Introduction}
Digitalization opens new perspectives for control engineering and automation
by making large amounts of data from experiments and numerical models available.
Learning-based control exploits this cumulated knowledge and potentially
also performs autonomous exploration of unseen system behavior i... | -37,643.166439 | [
-2.080078125,
2.177734375
] | 27.812114 | [
-2.763671875,
0.900390625,
-1.7392578125,
-6.14453125,
-1.1865234375,
8.5234375
] | [
4.265625,
7.72265625,
1.6455078125,
8.0234375
] | 356 | 5,434 | [
-2.048828125,
2.126953125
] | 27.758962 | [
-6.22265625,
-5.23828125,
-5.54296875,
-2.18359375,
2.7890625,
13.78125
] | 0.88326 | 10.420482 | 25.616489 | 1.520218 | [
2.3368358612060547
] | -23,236.936966 | 6.146301 | -37,235.79631 | 0.778466 | 6.029773 | [
-2.009765625,
-3.57421875,
-4,
-5.2734375,
2.423828125,
12.40625
] | [
-5.5,
-1.8583984375,
-2.072265625,
-1.2568359375,
3.5859375,
4.3046875
] | |
BkiUdHjxaJJQnMJkXr4l | \section{Introduction}
In this paper we tackle the inverse problem of reconstructing a cavity $D$ within a planar domain $\Omega$ taking advantage of boundary measurements of the solution of the following boundary value problem:
\begin{equation}\label{cavityproblem}
\left\{
\begin{aligned}
-\Delta u + ... | -95,769.282818 | [
-2.67578125,
2.41015625
] | 31.301939 | [
-3.2265625,
0.759765625,
-2.046875,
-6.19921875,
-0.72705078125,
8.8125
] | [
3.201171875,
8.796875,
0.7666015625,
6.04296875
] | 595 | 11,332 | [
-3.208984375,
3.7109375
] | 31.464156 | [
-6.0625,
-4.6015625,
-5.37890625,
-2.5,
2.314453125,
13.859375
] | 1.151131 | 18.43306 | 21.877205 | 2.010055 | [
1.5098960399627686
] | -55,315.142416 | 6.362778 | -93,870.349735 | 0.270446 | 6.294168 | [
-1.935546875,
-3.599609375,
-3.947265625,
-5.453125,
2.09375,
12.875
] | [
-5.6953125,
-2.130859375,
-1.9375,
-1.435546875,
3.91796875,
4.75
] | |
BkiUcNbxK6Ot9Pm3uYdF |
\section{\label{sec:intro}Introduction}
The quark masses and CKM matrix elements are fundamental parameters
of the Standard Model. To understand their values in terms of the
underlying physics and probe the limits of the Standard Model, they
must be extracted from experiment with greater precision. In
addition, th... | -61,027.267691 | [
-2.982421875,
2.75390625
] | 13.112745 | [
-2.814453125,
1.3046875,
-1.6064453125,
-5.58203125,
-1.1455078125,
6.9375
] | [
3.041015625,
8.828125,
2.951171875,
6.76171875
] | 265 | 4,520 | [
-2.716796875,
3.1484375
] | 35.178735 | [
-5.6015625,
-3.845703125,
-4.11328125,
-2.275390625,
1.8896484375,
11.046875
] | 1.150711 | 6.759534 | 28.539823 | 2.718122 | [
2.913114070892334
] | -39,906.580014 | 6.92146 | -60,513.663974 | 0.920569 | 5.966027 | [
-2.318359375,
-3.6328125,
-4.09375,
-5.3359375,
2.240234375,
12.6484375
] | [
-5.25,
-2.01953125,
-2.48828125,
-1.439453125,
3.318359375,
4.3984375
] | |
BkiUdozxK6Ot9UjEBvcU | \section{Proof of Theorem~\ref{th:1}}
\label{th: Proof of Th1}
In the derivation of large system analysis, we use well-known lemmas including
trace lemma~\cite[Lemma 2.6]{bai1998no},\cite[Theorem 3.4]{RMT} along with rank-1 perturbation lemma~\cite[Lemma 2.6]{silverstein1995empirical},\cite[Theorem 3.9]{RMT}. The form... | -27,351.661551 | [
-2.43359375,
2.150390625
] | 41.610738 | [
-3.65625,
-0.1671142578125,
-1.8095703125,
-6.05078125,
-0.5703125,
8.3828125
] | [
1.6611328125,
8.5,
0.2421875,
5.390625
] | 203 | 3,238 | [
-3.4296875,
4.04296875
] | 29.625969 | [
-5.796875,
-4.21875,
-4.0703125,
-2.03125,
2.130859375,
11.4765625
] | 1.064623 | 17.44991 | 31.34651 | 1.417138 | [
1.3382225036621094
] | -17,585.643738 | 5.801729 | -27,058.391033 | 0.936868 | 5.884254 | [
-2.609375,
-3.75390625,
-4.20703125,
-5.328125,
2.568359375,
12.7265625
] | [
-5.5078125,
-1.900390625,
-2.076171875,
-1.3486328125,
3.314453125,
4.01171875
] | |
BkiUfd425V5jLX3kjIIW | \section{Introduction}
For positive integers $m$ and $n$ and for $q$ a nonzero element of a field $\mathbb{K}$ that is not a root of unity, let us denote by $\mathcal{A}=\Oq$ the algebra of $m\times n$ quantum matrices. There is a natural action of the algebraic torus $\mathcal{H}=(\mathbb{K}^*)^{m+n}$ on $\mathcal{A... | -55,446.944854 | [
-2.66015625,
2.421875
] | 38.104449 | [
-2.458984375,
0.96484375,
-2.294921875,
-5.9765625,
-1.3701171875,
8.7890625
] | [
4.1640625,
10.0390625,
1.755859375,
6.65234375
] | 322 | 5,125 | [
-3.263671875,
3.6953125
] | 35.585656 | [
-5.0078125,
-3.375,
-5.0390625,
-2.50390625,
1.330078125,
12.515625
] | 0.661241 | 19.021778 | 24.760976 | 3.410645 | [
1.4767496585845947
] | -32,911.468517 | 5.754146 | -55,612.008049 | 0.447609 | 5.901818 | [
-1.4072265625,
-3.01171875,
-3.9375,
-5.50390625,
1.8115234375,
12.1875
] | [
-6.06640625,
-2.359375,
-2.619140625,
-1.578125,
4.1640625,
5.265625
] | |
BkiUc__xK7ICUyBu0Ytk | \section{Introduction}
As discussed in a variety of papers, unresolved radio point sources
are an important foreground in temperature anisotropy maps of the
cosmic microwave background (CMB) \cite{zotti,tof1, wright, tegmark}.
With Wilkinson Microwave Anisotropy Probe (WMAP) data \cite{bennett},
the difference in the... | -29,015.418835 | [
-3.404296875,
3.12109375
] | 14.435696 | [
-2.556640625,
0.26025390625,
-2.5234375,
-5.42578125,
-1.0771484375,
8.15625
] | [
1.5732421875,
6.53125,
0.939453125,
3.4375
] | 579 | 5,782 | [
-3.48046875,
4.171875
] | 28.962282 | [
-6.71875,
-5.01171875,
-5.046875,
-2.783203125,
2.390625,
14.046875
] | 2.088124 | 12.128629 | 19.40505 | 4.662942 | [
2.3266706466674805
] | -21,369.452208 | 5.565894 | -28,103.652315 | 1.180784 | 5.67002 | [
-2.974609375,
-4.22265625,
-3.876953125,
-4.578125,
2.546875,
12.4609375
] | [
-5.48828125,
-2.083984375,
-2.2109375,
-1.4853515625,
3.6015625,
4.7265625
] | |
BkiUdODxK3YB9ohkMhwr | \section{Introduction and main results}\label{sec-1}
The {\it sphericalization} of a locally compact metric space was first introduced by Bonk and Kleiner \cite{BK02} in defining a metric on the one point compactification of an unbounded space. It is a natural generalization of the deformation from the Euclidean dista... | -54,374.97879 | [
-3.001953125,
2.76953125
] | 46.317829 | [
-2.501953125,
0.98486328125,
-2.23828125,
-5.984375,
-0.9853515625,
8.859375
] | [
4.28125,
9.2578125,
1.8984375,
5.875
] | 426 | 6,526 | [
-3.380859375,
4.1171875
] | 32.790984 | [
-5.3828125,
-3.970703125,
-5.62890625,
-2.4375,
1.8564453125,
13.96875
] | 0.51465 | 27.279643 | 20.364695 | 2.433514 | [
1.8298344612121582
] | -33,890.950806 | 5.627337 | -54,663.037162 | 0.479251 | 5.819505 | [
-1.62109375,
-3.25390625,
-4.12109375,
-5.32421875,
1.830078125,
12.5234375
] | [
-6.0078125,
-2.138671875,
-2.34765625,
-1.25,
4.08203125,
4.83984375
] | |
BkiUbdvxK7Ehm308o-UQ | \section{\bf Introduction} \label{sec:1}
The goal of this paper is to deepen the links between the areas in the title. Invariant theory is concerned with the study of group actions on algebras, and in the present article we entirely concentrate on actions of finite groups on polynomial algebras via linear substituti... | -187,901.462041 | [
-3,
2.619140625
] | 55.643154 | [
-2.73828125,
0.76171875,
-1.8662109375,
-5.65234375,
-0.8046875,
8.15625
] | [
3.03515625,
8.046875,
1.2470703125,
6.88671875
] | 1,541 | 25,376 | [
-3.431640625,
4.05078125
] | 36.739437 | [
-5.25390625,
-3.693359375,
-5.37890625,
-2.791015625,
1.6640625,
13.671875
] | 0.521252 | 33.514539 | 11.711854 | 2.066677 | [
1.7075260877609253
] | -108,611.748212 | 4.513398 | -183,683.095905 | 0.689764 | 6.024313 | [
-1.4736328125,
-3.310546875,
-4.203125,
-5.51171875,
1.861328125,
12.703125
] | [
-6.046875,
-2.0703125,
-2.203125,
-1.146484375,
4.03125,
4.59765625
] | |
BkiUc3U5qoYAq3Pz8uon | \section{Introduction}
In functional programming, \textbf{optics} are a compositional representation of many common patterns in bidirectional data
accessing. They are provided by libraries such as Kmett's \emph{lens}~\cite{kmett15}, O'Connor's \emph{mezzolens}~\cite{oconnor15}, or \emph{purescript profunctor lenses} b... | -95,116.026257 | [
-3.34375,
3.0546875
] | 33.333333 | [
-3.142578125,
0.375244140625,
-1.6279296875,
-5.5703125,
-0.368408203125,
7.765625
] | [
4.00390625,
8.4609375,
2.564453125,
7.859375
] | 547 | 11,212 | [
-3.466796875,
4.21875
] | 31.160467 | [
-5.6484375,
-3.474609375,
-4.42578125,
-1.8955078125,
1.86328125,
11.5546875
] | 0.694369 | 18.989008 | 18.473609 | 0.628731 | [
2.701251983642578
] | -62,984.209191 | 5.780146 | -93,676.764697 | 0.56784 | 6.132589 | [
-1.873046875,
-3.07421875,
-3.80859375,
-5.1171875,
2.123046875,
12.0234375
] | [
-5.5546875,
-2.564453125,
-2.42578125,
-1.814453125,
4.13671875,
5.609375
] | |
BkiUbGE5qdmB6uAdshyW |
\section{Introduction}
The ongoing trend of applying \acp{NN} to signal processing tasks for communication systems has led to the demonstration of substantial improvements when compared to conventional systems for a wide range of applications \cite{honkala2020deeprx,samuel2017deep,li2018power}.
Especially when focusin... | -40,954.149724 | [
-2.341796875,
2.451171875
] | 46.478873 | [
-2.703125,
0.93212890625,
-1.3994140625,
-4.93359375,
-0.86474609375,
6.82421875
] | [
2.912109375,
6.765625,
0.92578125,
5.28515625
] | 361 | 6,968 | [
-1.783203125,
1.6865234375
] | 25.146282 | [
-6.12890625,
-4.0234375,
-3.990234375,
-2.095703125,
2.142578125,
11.53125
] | 0.884214 | 18.761259 | 14.867968 | 2.216752 | [
1.555336833000183
] | -29,302.322282 | 6.167623 | -40,218.406467 | 0.586374 | 5.936069 | [
-2.71875,
-3.42578125,
-3.607421875,
-4.57421875,
2.515625,
11.3984375
] | [
-5.09765625,
-1.783203125,
-2.04296875,
-1.509765625,
3.259765625,
4.59375
] | |
BkiUfo8241xiP6pGxj80 | \section{Introduction} \label{sec:intro}
The $p$-adic number system for any prime number $p$ extends the ordinary arithmetic of the rational numbers in
a way different from the extension of the rational number system to the real and complex number systems.
This extension is achieved by an alternative interpretation of... | -41,293.496171 | [
-2.373046875,
2.1796875
] | 37.470726 | [
-3.255859375,
0.5849609375,
-2.33203125,
-5.5625,
-0.5341796875,
8.1171875
] | [
3.458984375,
8.7734375,
2.03515625,
6.31640625
] | 249 | 3,615 | [
-2.796875,
3.05078125
] | 40.395379 | [
-5.83203125,
-3.5,
-4.34375,
-2.3671875,
1.7841796875,
11.828125
] | 0.99306 | 20.481592 | 27.856155 | 6.670596 | [
3.0162465572357178
] | -25,723.458898 | 4.902628 | -41,320.322505 | 0.744795 | 5.849459 | [
-2.177734375,
-2.880859375,
-3.162109375,
-5.05078125,
2.09375,
11.2890625
] | [
-5.30078125,
-1.19921875,
-1.4208984375,
-0.79052734375,
3.021484375,
2.783203125
] | |
BkiUfK3xK4tBVhat52yo | \section{Introduction}
\la{sec:intro}
Zel'dovich predicted in 1971 that a rotating black hole (BH) would radiate \cite{Zeldovich1,Zeldovich2}. His reasoning was based on the observation that the same physics that causes damping of an incident electromagnetic field by a static dielectric implies that, if the dielectri... | -33,536.531481 | [
-3.396484375,
3.033203125
] | 31.188119 | [
-3.3359375,
0.059906005859375,
-1.935546875,
-5.96484375,
-0.422607421875,
8.3828125
] | [
3.7421875,
8.4296875,
4.14453125,
5.97265625
] | 213 | 5,732 | [
-3.478515625,
3.8671875
] | 25.887221 | [
-6.21875,
-4.16015625,
-4.5546875,
-2.560546875,
1.9033203125,
12.546875
] | 1.159098 | 17.686003 | 24.965108 | 0.561589 | [
2.492779493331909
] | -22,189.140397 | 5.493719 | -33,612.539691 | 0.57161 | 6.033921 | [
-2.798828125,
-3.837890625,
-3.759765625,
-4.85546875,
2.345703125,
12.359375
] | [
-5.61328125,
-2.3515625,
-2.466796875,
-1.6650390625,
3.8203125,
4.96875
] | |
BkiUdf_xK7FjYEXSFEcl | \section{Introduction}
The Antennae (NGC 4038/39 = Arp 244) is a pair of late type spirals in the
course of merging. It is the youngest in Toomre's (1977)
dynamical age sequence of 11 interacting and merging systems and comfortably nearby.
This makes it a
well-studied system all over the wavelength range from X-ray... | -12,009.0797 | [
-1.966796875,
2.0234375
] | 26.885246 | [
-3.00390625,
0.07904052734375,
-1.8671875,
-6.33984375,
-0.689453125,
8.796875
] | [
3.65625,
6.32421875,
3.29296875,
4.18359375
] | 181 | 3,106 | [
-1.9716796875,
1.908203125
] | 27.535564 | [
-5.9375,
-3.765625,
-3.6171875,
-2.267578125,
1.6953125,
11.4609375
] | 1.325449 | 15.068765 | 25.338055 | 3.688572 | [
2.3643922805786133
] | -10,084.035637 | 4.736639 | -11,818.083427 | 1.060359 | 5.642557 | [
-3.435546875,
-3.7421875,
-2.96484375,
-3.880859375,
2.48046875,
10.6171875
] | [
-5.6015625,
-2.416015625,
-2.103515625,
-1.35546875,
3.525390625,
5.046875
] | |
BkiUelHxK7IDF1DduRfs | \section{Introduction}
Quantum state readout is a crucial component of any quantum computing architecture. For semiconductor quantum dots, charge state readout has been performed using quantum point contacts \cite{Field1993} and quantum dots \cite{Barthel2010} as detectors. Electronic spin states can also be resolved u... | -17,382.110845 | [
-3.2734375,
3.0625
] | 60 | [
-2.8671875,
0.9560546875,
-2.123046875,
-5.25,
-1.3564453125,
8.3671875
] | [
2.908203125,
7.84765625,
3.328125,
5.90234375
] | 178 | 3,314 | [
-2.234375,
2.412109375
] | 24.560536 | [
-6.3671875,
-3.376953125,
-3.30859375,
-1.9326171875,
1.69140625,
10.828125
] | 1.433335 | 39.763957 | 24.170187 | 1.2488 | [
2.8667869567871094
] | -13,870.524379 | 5.157815 | -17,072.646429 | 1.064763 | 5.546763 | [
-3.224609375,
-3.96875,
-3.951171875,
-4.57421875,
2.52734375,
12.078125
] | [
-5.46484375,
-1.759765625,
-2.19921875,
-1.966796875,
3.28515625,
5.5390625
] | |
BkiUaYzxK7ICUn2IXhit | \section{Introduction}
Current technological plans hint to mainstream adoption of highly charged ions (HCIs) for many uses in the near future~(see, e.g. the review~\cite{gillaspy01jpb}). Production of any ion stage of practically any naturally occurring element is possible at ion accelerators and/or electron beam ion ... | -54,584.036403 | [
-2.796875,
2.6484375
] | 19.710145 | [
-3.08203125,
0.640625,
-2.052734375,
-6.32421875,
-0.73828125,
8.609375
] | [
4.49609375,
7.84765625,
4.49609375,
6.6640625
] | 526 | 7,903 | [
-2.64453125,
2.978515625
] | 43.532424 | [
-6.38671875,
-4.265625,
-4.1015625,
-2.51171875,
2.046875,
12.5703125
] | 0.706082 | 12.819238 | 25.926863 | 37.488646 | [
2.2815356254577637
] | -37,844.502695 | 5.376186 | -52,832.035912 | 0.428356 | 6.367842 | [
-3.1953125,
-3.90625,
-3.44140625,
-4.5078125,
2.564453125,
11.84375
] | [
-5.58203125,
-2.5078125,
-2.783203125,
-2.43359375,
3.8828125,
6.25390625
] | |
BkiUdJQ4ubng-JcX4VCP | \section{Introduction}
\vspace{-0.1cm}
Translating a spoken language, in other words recognizing speech and automatically having one's words translated into another language, is extremely complex. One traditional approach in speech-to-text translation systems must construct automatic speech recognition (ASR) and machi... | -14,672.264542 | [
-2.576171875,
2.521484375
] | 37.5 | [
-3.427734375,
0.30615234375,
-1.8427734375,
-4.140625,
-0.3720703125,
6.54296875
] | [
3.515625,
6.75,
1.4638671875,
8.109375
] | 170 | 2,786 | [
-2.595703125,
2.92578125
] | 22.784448 | [
-6.47265625,
-3.970703125,
-4.08984375,
-1.587890625,
2.369140625,
11.6875
] | 0.758081 | 18.285786 | 26.633166 | 4.083875 | [
3.165088176727295
] | -11,813.580488 | 5.918521 | -14,450.784571 | 1.443387 | 5.659963 | [
-3.4609375,
-3.578125,
-3.36328125,
-4.19921875,
2.734375,
11.2578125
] | [
-5.94140625,
-2.62890625,
-2.416015625,
-2.025390625,
4.15234375,
5.8984375
] | |
BkiUbbnxK0-nUh8iIHaL | \section{Introduction}\label{sec:intro}
This is the fifth in a series of seven papers describing the
Pan-STARRS1 Surveys, the data reduction techiques and the resulting
data products. This paper (Paper V) describes the final calibration
process, and the resulting photometric and astrometric quality.
\citet[][Paper I... | -29,409.155849 | [
-2.9921875,
2.8515625
] | 21.270903 | [
-3.53515625,
0.1817626953125,
-2.015625,
-5.12109375,
0.197509765625,
6.90625
] | [
2.560546875,
5.38671875,
2.486328125,
7.55859375
] | 746 | 11,626 | [
-3.537109375,
3.916015625
] | 23.30884 | [
-6.09375,
-2.77734375,
-3.0234375,
-1.255859375,
1.3056640625,
9.4609375
] | 1.654854 | 15.274432 | 17.546878 | 1.989935 | [
1.648324966430664
] | -21,696.078196 | 5.327628 | -28,154.943955 | 0.356803 | 6.019421 | [
-3.607421875,
-3.701171875,
-2.853515625,
-3.470703125,
2.55859375,
10.2265625
] | [
-6.66015625,
-2.8828125,
-2.796875,
-1.3271484375,
4.12890625,
5.3203125
] | |
BkiUctrxK7FjYHGHzffr | \section*{Introduction}
The main goal of this paper is to derive a formula for the character
of the fusion product of two integrable irreducible representations of
the affine Kac-Moody Lie algebra $\slth$. We first briefly recall the
definition.
The notion of the fusion product of cyclic representations $V_1,\ldots, ... | -68,299.941475 | [
-2.654296875,
2.37890625
] | 22.825219 | [
-2.9296875,
0.047882080078125,
-2.4609375,
-5.921875,
-0.51025390625,
9.109375
] | [
2.8125,
9.421875,
0.751953125,
5.39453125
] | 356 | 5,831 | [
-3.36328125,
3.841796875
] | 41.132676 | [
-5.140625,
-3.830078125,
-5.2734375,
-2.53515625,
1.6728515625,
12.78125
] | 0.830432 | 9.47207 | 26.616361 | 4.027912 | [
0.7377874851226807
] | -42,667.737208 | 5.369405 | -67,603.740552 | 0.849596 | 6.258909 | [
-1.41015625,
-3.322265625,
-4.27734375,
-5.75,
1.7568359375,
13.2421875
] | [
-5.40625,
-1.5234375,
-2.1171875,
-0.68310546875,
3.34765625,
3.26953125
] | |
BkiUawDxK6EuNAra_58K |
\section{Conclusion}
\vspace{-10pt}
We have shown that building intermediate representations that preserve the Euclidean structure of the 3D objects we try to model is beneficial. It enables us to outperform state-of-the-art approaches to single view reconstruction. We have also investigated the use of mult... | -21,868.510899 | [
-2.0546875,
2.0390625
] | 52.840909 | [
-2.384765625,
1.056640625,
-1.82421875,
-3.8359375,
-1.1884765625,
6.26171875
] | [
2.42578125,
5.3203125,
0.4521484375,
5.77734375
] | 350 | 5,088 | [
-1.478515625,
1.3212890625
] | 24.24496 | [
-6.08984375,
-4.0234375,
-4.421875,
-2.43359375,
2.0546875,
12.796875
] | 0.556511 | 36.392372 | 26.434748 | 2.260063 | [
1.7660884857177734
] | -15,574.659532 | 5.827241 | -21,651.501416 | 0.269824 | 6.103489 | [
-2.875,
-3.681640625,
-3.62890625,
-4.37109375,
2.703125,
11.4296875
] | [
-5.67578125,
-2.359375,
-2.7265625,
-2.015625,
4.1171875,
6.078125
] | |
BkiUairxK0wg09lJ_0zB | \section{Introduction}
Supersolitons are deformed solitary waves that are distinguishable
through their three local minima and three local maxima in the electric field.
Since the first reports on supersolitons, \cite{DubKol1,DubKol2,DubKol3}
an increasing number of plasma models that support
supersolitons have been id... | -26,409.970885 | [
-2.57421875,
2.642578125
] | 32.427536 | [
-3.203125,
1.0068359375,
-1.853515625,
-5.5234375,
-0.83251953125,
7.3359375
] | [
1.4658203125,
7.1875,
2.734375,
4.16015625
] | 176 | 2,958 | [
-2.7109375,
2.8515625
] | 27.216456 | [
-5.69140625,
-3.658203125,
-3.5234375,
-2.05859375,
1.7548828125,
10.3046875
] | 0.624469 | 10.303281 | 30.797836 | 2.985083 | [
2.7811474800109863
] | -16,930.44243 | 6.767072 | -26,115.161335 | 0.649448 | 5.791008 | [
-2.712890625,
-3.44140625,
-3.548828125,
-4.67578125,
2.306640625,
11.65625
] | [
-5.20703125,
-1.9365234375,
-2.359375,
-1.4921875,
3.228515625,
4.125
] | |
BkiUdpY4eIOjSBZeeNPE | \section{Introduction}
\label{sec:intro}
In the past several decades, variational methods and optimization techniques have been extensively studied for solving image reconstruction problems. In particular, a number of regularizers, including total variation (TV), $l_p$ norm ($p\in [0,1]$), low rank, group Lasso, and n... | -95,936.470184 | [
-2.44140625,
2.390625
] | 39.726027 | [
-2.88671875,
0.59130859375,
-2.134765625,
-5.234375,
-0.53173828125,
7.9609375
] | [
3.740234375,
7.80078125,
0.58251953125,
7.6171875
] | 524 | 9,392 | [
-2.82421875,
3.1015625
] | 31.775087 | [
-6.6328125,
-5.4609375,
-5.7109375,
-2.17578125,
3.048828125,
14.5390625
] | 0.523457 | 16.58347 | 21.965503 | 3.086731 | [
1.851610541343689
] | -55,536.905403 | 6.508944 | -95,383.544697 | 0.485834 | 6.349344 | [
-2.779296875,
-4.04296875,
-3.876953125,
-4.6328125,
2.583984375,
12.265625
] | [
-5.51953125,
-2.65234375,
-2.375,
-1.6435546875,
3.96484375,
5.8671875
] | |
BkiUd-k241xg-MOC_zQI | \section{Introduction}
In an ideal ferroelectric the symmetries of the crystal only allow for the expansion of the free energy in even powers of the polarization, producing two degenerate ground states, one for each polarization direction \cite{Devonshire1954}.
In the presence of an electric field, the degeneracy bre... | -17,361.916233 | [
-2.525390625,
2.45703125
] | 56.455696 | [
-2.34375,
0.6787109375,
-2.53515625,
-5.0546875,
-0.93798828125,
8.015625
] | [
3.056640625,
8.21875,
2.58203125,
5.28515625
] | 288 | 4,735 | [
-3.00390625,
3.2421875
] | 21.899577 | [
-6.4921875,
-4.53125,
-4.59765625,
-2.810546875,
2.2265625,
13.421875
] | 0.991813 | 17.365941 | 24.899683 | 2.500114 | [
2.3853073120117188
] | -14,266.368819 | 5.855755 | -17,014.171547 | 0.908861 | 5.806728 | [
-3.021484375,
-3.904296875,
-3.2890625,
-4.12890625,
2.5234375,
11.3828125
] | [
-5.3046875,
-2.2578125,
-2.51953125,
-1.939453125,
3.578125,
5.41796875
] | |
BkiUeGvxK6nrxjHzCYv8 | \section{Introduction}
In this paper we consider the Landesman-Lazer type problem for the boundary value problem:
\begin{equation}\label{eq1}\left\{\begin{array}{ll}
-\Delta u=\lambda u+f(x,u), \hs\hs x\in
\Omega;\\[1ex]
u(x)=0, \hspace{1cm}}\def\hs{\hspace{0.5cm}\hs\, \hspace{1cm}}\def\hs{\hspace{0.5cm}\Hs x\in\part... | -51,187.549979 | [
-2.873046875,
2.47265625
] | 44.128114 | [
-3.13671875,
0.65576171875,
-2.36328125,
-6.77734375,
-1.1025390625,
9.453125
] | [
2.447265625,
8.7734375,
-0.64208984375,
5.26171875
] | 494 | 4,285 | [
-3.484375,
3.73046875
] | 36.645359 | [
-5.4765625,
-4.23828125,
-4.859375,
-2.58203125,
1.8056640625,
12.359375
] | 0.384952 | 23.710953 | 31.715286 | 4.111182 | [
1.167602777481079
] | -31,351.747191 | 6.668611 | -50,941.624115 | 0.244969 | 6.25866 | [
-1.65625,
-3.4140625,
-4.21875,
-5.84765625,
1.9833984375,
13.109375
] | [
-5.6796875,
-1.8427734375,
-2.171875,
-1.2392578125,
3.232421875,
3.529296875
] | |
BkiUd0Q4eIZjxkFh19au |
\section{Introduction}On-board real-time processing of data through embedded systems plays a crucial role in applying the images acquired from the portable platforms (e.g., \glspl{gls:UAV}) to the applications requiring instant responses such as search and rescue missions, urban management, traffic monitoring, and par... | -17,242.751807 | [
-2.84765625,
2.572265625
] | 62.931034 | [
-3.396484375,
0.46142578125,
-1.9423828125,
-4.58203125,
0.212158203125,
7.2265625
] | [
2.09375,
7.046875,
1.5595703125,
4.87890625
] | 288 | 3,556 | [
-1.96875,
2.05078125
] | 26.14037 | [
-6.015625,
-3.82421875,
-3.779296875,
-1.486328125,
2.67578125,
10.953125
] | 0.67398 | 10.496014 | 27.221597 | 4.364219 | [
2.031315803527832
] | -13,584.563957 | 6.050056 | -16,723.190118 | 0.371851 | 5.88736 | [
-3.013671875,
-3.46875,
-3.232421875,
-3.91015625,
2.62890625,
10.5078125
] | [
-6.08203125,
-2.189453125,
-1.94140625,
-1.6484375,
4.234375,
5.26953125
] | |
BkiUfEs5qhDCNj5tich1 | \section{Introduction}\label{sec:intro}
The aim of this paper is to show an elementary proof
of certain identities on binomials and state an answer
to~\cite[Remark~8.2]{hko}.
The identity which we prove in this paper stems from
the representation theory of real semi-simple Lie groups, which
admits discrete series.... | -32,898.135304 | [
-2.8125,
2.431640625
] | 20.258621 | [
-3.666015625,
0.35498046875,
-2.294921875,
-5.27734375,
-0.857421875,
8.1484375
] | [
2.41015625,
8.3828125,
0.44921875,
5.328125
] | 91 | 1,354 | [
-3.33203125,
3.8515625
] | 40.604722 | [
-5.73828125,
-3.58203125,
-3.908203125,
-2.3984375,
1.7119140625,
11.0625
] | 1.506091 | 6.982549 | 39.364845 | 6.43033 | [
1.8395881652832031
] | -24,224.651049 | 6.669129 | -33,213.086344 | 1.24031 | 5.604247 | [
-2.279296875,
-2.96484375,
-3.55078125,
-5.3203125,
1.9560546875,
12.03125
] | [
-5.20703125,
-0.90478515625,
-1.5,
-0.91796875,
2.580078125,
2.6875
] | |
BkiUeZbxaKgTq1C9OpJ4 | \section{Introduction}
On angular scales $\lower.5ex\hbox{\gtsima} 100$ arcsec (corresponding to multipole number $\ell \lower.5ex\hbox{\ltsima} 10^4$) the power spectrum of the source-subtracted Near InfraRed Background (NIRB) fluctuations has an amplitude that exceeds by $\lower.5ex\hbox{\gtsima} 100$ times the sign... | -16,030.375858 | [
-0.93701171875,
1.3115234375
] | 42.222222 | [
-3.130859375,
0.62255859375,
-1.7451171875,
-5.0625,
-1.0888671875,
7.78515625
] | [
3.185546875,
7.78515625,
3.19921875,
3.609375
] | 364 | 2,485 | [
-3.13671875,
3.484375
] | 29.828565 | [
-5.9609375,
-4.01953125,
-3.76953125,
-2.3203125,
1.4599609375,
11.8359375
] | 0.707614 | 19.735329 | 32.555332 | 5.648204 | [
2.1787147521972656
] | -12,106.987583 | 5.686922 | -15,838.362251 | 0.6227 | 5.756211 | [
-3.345703125,
-3.537109375,
-3.38671875,
-4.21484375,
2.298828125,
11.2578125
] | [
-5.8984375,
-2.287109375,
-2.2109375,
-1.7734375,
3.759765625,
5.3984375
] | |
BkiUdgg5qoYDgbkp4TEY | \section{Introduction}
The robustness against adversarial attacks of (deep) neural networks
(NNs) for classification tasks has become one of the most discussed
topics in machine learning research since it was discovered \cite{GoodfellowEtAl:ExplainingAndHarnessingAdversarialExamples:arXiv2015,Szegedy2013}.
By making a... | -37,679.062282 | [
-2.24609375,
2.1875
] | 20.637899 | [
-3.76171875,
0.01812744140625,
-2.2578125,
-6.08203125,
-0.6552734375,
8.484375
] | [
2.431640625,
8.1484375,
0.64111328125,
6.140625
] | 334 | 4,197 | [
-3.353515625,
3.927734375
] | 27.448292 | [
-6.21875,
-4.51171875,
-4.43359375,
-1.9580078125,
2.4296875,
12.34375
] | 0.579822 | 12.880973 | 30.021444 | 1.625479 | [
2.420670509338379
] | -26,167.524034 | 7.396712 | -36,798.525897 | 0.460637 | 5.998403 | [
-2.74609375,
-3.685546875,
-3.90234375,
-4.73828125,
2.556640625,
11.8828125
] | [
-5.58984375,
-2.345703125,
-2.33984375,
-1.7998046875,
3.470703125,
5.21484375
] | |
BkiUbVHxK7FjYCv2QCBP | \section{Introduction}
This short example shows a contrived example on how to format the authors' information for {\it IJCAI--19 Proceedings}.
\section{Author names}
Each author name must be followed by:
\begin{itemize}
\item A newline {\tt \textbackslash{}\textbackslash{}} command for the last author.
\item... | -25,855.428901 | [
-0.69189453125,
1.033203125
] | 55.748373 | [
-3.21875,
0.27197265625,
-1.8564453125,
-4.58984375,
-0.337646484375,
6.734375
] | [
0.1285400390625,
2.46484375,
-1.111328125,
4.375
] | 565 | 4,088 | [
-2.34765625,
2.779296875
] | 31.197588 | [
-5.8046875,
-3.56640625,
-3.078125,
-1.4921875,
1.9052734375,
9.8671875
] | 1.873687 | 31.270493 | 28.375734 | 7.656369 | [
2.0623178482055664
] | -18,515.11163 | 5.705235 | -25,437.132739 | 1.320585 | 6.010192 | [
-2.94140625,
-3.36328125,
-2.751953125,
-4.0546875,
2.67578125,
10.21875
] | [
-5.609375,
-2.8046875,
-2.375,
-1.806640625,
3.900390625,
5.66015625
] | |
BkiUfXDxK1ThhAqzYsFE | \section{Introduction}
VERITAS and other Imaging Air Cherenkov Telescopes (IACTs) record images of Cherenkov showers initiated by gamma rays and other types of cosmic rays. Those images are parameterized, typically assuming the images are elliptical. The parametrization of the shower is used to reconstruct the energy ... | -16,199.420092 | [
-3.2578125,
3.015625
] | 38.743455 | [
-3.1328125,
0.337158203125,
-2.044921875,
-5.828125,
-0.5126953125,
8.3046875
] | [
0.8984375,
7.03515625,
2.5546875,
5.0625
] | 258 | 3,041 | [
-2.669921875,
2.986328125
] | 28.924587 | [
-6.34375,
-4.32421875,
-4.13671875,
-2.1484375,
2.173828125,
12.015625
] | 1.269036 | 30.994838 | 27.85268 | 8.980616 | [
3.166301727294922
] | -11,726.001132 | 5.312068 | -15,846.418553 | 1.169989 | 5.68583 | [
-3.35546875,
-3.623046875,
-2.943359375,
-3.80859375,
2.5703125,
10.546875
] | [
-5.890625,
-2.517578125,
-2.482421875,
-1.9638671875,
3.787109375,
5.6796875
] | |
BkiUbq825V5hd-4287Pf | \section{Introduction}
During the course of their evolution, massive stars have strong winds
which eject matter into their surroundings. During their post-main sequence
evolution, these stars can move back and forth from the blue to the red side
of the Hertzsprung-Russell (HR)~diagram and back to the red, with little... | -13,358.800196 | [
-3.494140625,
3.171875
] | 30.02611 | [
-2.77734375,
0.53662109375,
-1.5869140625,
-5.625,
-0.60107421875,
7.875
] | [
3.8203125,
6.96875,
2.5234375,
5.01171875
] | 214 | 3,364 | [
-3.6796875,
4.21484375
] | 27.788173 | [
-5.8515625,
-3.205078125,
-3.462890625,
-2.568359375,
1.2841796875,
11.015625
] | 1.980775 | 11.261013 | 31.361474 | 3.78268 | [
2.331634521484375
] | -11,254.250218 | 5.102556 | -13,056.703567 | 0.454413 | 5.877721 | [
-3.35546875,
-3.501953125,
-2.8359375,
-3.83984375,
2.412109375,
10.3515625
] | [
-5.8984375,
-2.296875,
-2.169921875,
-1.412109375,
3.66015625,
4.92578125
] | |
BkiUdBw25YjgKNDlVLJa | \section{Device Fabrication}
CVD (chemical vapor deposition)-grown graphene is used for producing large scale films required for this study. The large-domain monolayer graphene is grown on a copper substrate, and then transferred to the Si/SiO$_2$ silicon substrate which is used as a back gate. To transfer, first a po... | -7,613.725098 | [
-3.181640625,
2.908203125
] | 65.853659 | [
-5.98046875,
-3.337890625,
-2.78515625,
-7.63671875,
1.47265625,
12.4140625
] | [
2.29296875,
6.1875,
2.9609375,
6.21484375
] | 100 | 1,506 | [
-3.02734375,
3.72265625
] | 25.246588 | [
-5.6796875,
-4.06640625,
-2.919921875,
-1.2275390625,
1.93359375,
9.2109375
] | 1.764706 | 51.118468 | 39.243028 | 2.170845 | [
3.1369428634643555
] | -5,988.176863 | 5.079681 | -7,438.363993 | 0.588235 | 5.502141 | [
-3.3984375,
-4.03125,
-3.75,
-4.09765625,
2.970703125,
10.84375
] | [
-6.96875,
-4.7578125,
-3.15234375,
-2.6875,
4.86328125,
8.125
] | |
BkiUbSLxK7Ehm4qsy0t6 | \section{\label{}}
\section{INTRODUCTION}
The search for $\gamma$-rays from radio galaxies is important for
the understanding of the dynamics and structure of jets in active galactic nuclei (AGN).
Even though radio galaxies are AGN with jets, their jet is not oriented toward the observer
and therefore the radiation ... | -10,109.01955 | [
-3.18359375,
3.03125
] | 37.18593 | [
-5.625,
-3.400390625,
-2.716796875,
-7.28515625,
1.634765625,
11.828125
] | [
2.685546875,
6.87890625,
3.333984375,
4.71484375
] | 119 | 2,010 | [
-3.001953125,
3.384765625
] | 25.306893 | [
-5.88671875,
-4.31640625,
-2.80859375,
-0.95947265625,
2.09765625,
9.15625
] | 1.164094 | 20.67334 | 38.40796 | 4.242947 | [
2.5210165977478027
] | -8,410.701325 | 5.769652 | -9,654.997255 | 0.724325 | 5.691715 | [
-3.955078125,
-4.24609375,
-3.435546875,
-3.474609375,
2.6484375,
9.90625
] | [
-6.984375,
-4.82421875,
-3.59765625,
-2.75,
5.12109375,
8.9609375
] | |
BkiUdgc5qhLBWY0XuZmA | \section{Introduction}
Predicting human, goods and information mobility between locations is an important topic in complex human behavior \cite{Ba19,Ba10}, transportation science \cite{OW11,HU18}, sociology \cite{hu09}, economic geography \cite{RT03} and regional economics \cite{Lm18,Ka00,pa07}, and it also has practi... | -22,316.891045 | [
-2.806640625,
2.482421875
] | 40.833333 | [
-3.337890625,
1.0185546875,
-1.892578125,
-6.0234375,
-0.62158203125,
8.1640625
] | [
3.07421875,
6.51953125,
3.19921875,
7.46484375
] | 346 | 4,495 | [
-3.44140625,
4.03125
] | 27.164036 | [
-6.28515625,
-3.861328125,
-4.12109375,
-2.046875,
2.404296875,
11.7421875
] | 1.341435 | 14.593686 | 23.20356 | 14.212067 | [
2.982145071029663
] | -17,061.628607 | 5.63871 | -21,985.37572 | 0.710171 | 5.69016 | [
-3.38671875,
-3.2578125,
-3.1640625,
-4.12890625,
2.75,
10.7109375
] | [
-6,
-2.587890625,
-2.673828125,
-1.9375,
3.787109375,
6.52734375
] | |
BkiUd3c4eIZijir1ousz | \section{Preliminaries}
\subsubsection*{Finite Automata}
An \emph{NFA} is a quintuple $\A = (Q,\Sigma,\delta,I,F)$, where $Q$ is the finite set of states, $\Sigma$ is the finite alphabet, $\delta \subseteq Q \times \Sigma \times Q$ is the transition relation, $I \subseteq Q$ is the set of initial states, and $F \subse... | -24,860.424102 | [
-2.380859375,
2.005859375
] | 67.479675 | [
-3.244140625,
1.0966796875,
-1.64453125,
-5.9140625,
-0.78515625,
7.63671875
] | [
0.8330078125,
7.80078125,
0.74560546875,
6.9921875
] | 173 | 2,847 | [
-3.349609375,
3.642578125
] | 35.779141 | [
-5.875,
-4.0078125,
-4.125,
-1.9375,
2.154296875,
11.8203125
] | 2.897155 | 17.130755 | 25.114155 | 2.439142 | [
3.405789852142334
] | -16,552.724648 | 4.740429 | -24,711.980517 | 0.207469 | 5.671602 | [
-2.2890625,
-3.171875,
-3.771484375,
-5.3515625,
2.3359375,
12.078125
] | [
-5.953125,
-1.6259765625,
-1.916015625,
-1.5517578125,
3.212890625,
3.970703125
] | |
BkiUd3A4dbjiVENjpLkA | \section{Introduction}
\label{sec:intro}
\smallskip
In the standard paradigm of hierarchical structure formation, the angular momentum (AM) growth of a dark matter protohalo is driven by the large-scale gravitational tidal torque until maximum expansion.
This ``tidal torque theory (TTT)'' (e.g., \citealt{doroshkevich... | -50,005.963062 | [
-2.6328125,
2.435546875
] | 67.951542 | [
-2.740234375,
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-5.61328125,
-0.62646484375,
7.546875
] | [
2.98828125,
7.76953125,
1.837890625,
5.62109375
] | 781 | 11,895 | [
-3.06640625,
3.478515625
] | 25.764953 | [
-6.0703125,
-3.716796875,
-3.97265625,
-2.353515625,
1.7900390625,
11.6875
] | 1.32822 | 17.755997 | 17.906683 | 1.697972 | [
1.9114031791687012
] | -36,376.607022 | 5.348382 | -48,184.248116 | 0.707336 | 5.97925 | [
-3.306640625,
-3.828125,
-2.998046875,
-3.939453125,
2.640625,
10.7578125
] | [
-5.6875,
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-2.27734375,
-1.5390625,
3.666015625,
5.03125
] | |
BkiUdNs5qWTA6f4qDodK | \section{Introduction}
One of the biggest questions in fundamental physics is the nature of dark matter (DM). The possibility that
DM is a thermal Weakly Interacting Massive Particle (WIMP), whose abundance is determined by $2 \to 2$ annihilations into Standard Model (SM) bath particles, is exciting, but has alluded d... | -20,114.829833 | [
-3.3984375,
3.064453125
] | 39.577039 | [
-2.689453125,
0.51513671875,
-2.25,
-5.44140625,
-1.1474609375,
7.86328125
] | [
3.46875,
7.99609375,
4.421875,
6.64453125
] | 194 | 3,592 | [
-2.4921875,
2.689453125
] | 29.68478 | [
-5.765625,
-4.25,
-4.19921875,
-2.46875,
1.7490234375,
11.59375
] | 0.839438 | 17.824691 | 28.89755 | 3.110146 | [
2.419311046600342
] | -13,448.818088 | 5.47216 | -19,903.050058 | 0.457875 | 5.90183 | [
-2.548828125,
-3.4453125,
-3.533203125,
-4.8046875,
2.064453125,
11.953125
] | [
-5.39453125,
-1.861328125,
-2.21484375,
-1.587890625,
2.94921875,
4.4140625
] | |
BkiUdbfxK02iP5rWKrVw | \section{Introduction}
Many fish stock assessments derive information about stock trends from analyses of longline catch and effort records (IPHC, ICCAT, IATTC references).
The classical relative abundance index, Catch Per Unit Effort (CPUE), for populations monitored using longline gear, is defined as the average n... | -31,604.70624 | [
-3.55078125,
3.203125
] | 40.990991 | [
-3.37890625,
0.310791015625,
-1.7451171875,
-5.89453125,
-0.5478515625,
7.78125
] | [
2.166015625,
6.05078125,
3.845703125,
8.4375
] | 327 | 5,969 | [
-2.015625,
2.177734375
] | 26.822243 | [
-6.296875,
-4.25390625,
-4.0859375,
-2.091796875,
2.294921875,
11.65625
] | 1.064995 | 26.678519 | 21.259843 | 3.027983 | [
1.8918423652648926
] | -21,123.11862 | 5.50578 | -30,873.723657 | 1.217137 | 5.844308 | [
-3.11328125,
-3.279296875,
-3.048828125,
-4.21875,
2.5625,
10.6171875
] | [
-5.70703125,
-2.390625,
-2.46875,
-1.978515625,
3.556640625,
5.3359375
] | |
BkiUexfxK6nrxjHzDAkJ | \subsection{Gathering a Large-Scale Video Dataset}
Gathering implicitly consists of two rough stages: identifying an
overcomplete set of candidate videos using generic
queries and filtering out irrelevant videos.
\vspace{2mm}
\noindent {\bf Generating a set of query candidates:}
We began with a set of 11 categories: ... | -15,821.370757 | [
-2.4609375,
2.3203125
] | 31.877023 | [
-2.859375,
0.6171875,
-1.3798828125,
-3.8984375,
-0.26123046875,
5.69921875
] | [
1.2255859375,
5.265625,
2.86328125,
7.6328125
] | 266 | 4,446 | [
-1.6982421875,
1.86328125
] | 24.389466 | [
-5.67578125,
-3.21484375,
-2.91015625,
-1.28515625,
1.7138671875,
9.2890625
] | 1.157647 | 19.703019 | 29.217274 | 2.038658 | [
2.3512580394744873
] | -12,447.527692 | 5.440171 | -15,912.617489 | 1.492537 | 6.100058 | [
-3.416015625,
-3.154296875,
-2.240234375,
-3.09375,
2.865234375,
8.6875
] | [
-5.5078125,
-1.6376953125,
-1.90234375,
-1.2021484375,
3.33984375,
4.35546875
] | |
BkiUbUY5qhLACFWlxBr3 | \section{Introduction}
The determination of topological properties of $(LF)$-spaces of functions is an important problem in functional analysis that usually demands a delicate treatment. In the case of weighted inductive limits of spaces of (vector-valued) continuous and holomorphic functions the subject has a long tra... | -172,186.88548 | [
-3.0625,
2.810546875
] | 26.035966 | [
-3.328125,
0.423583984375,
-2.22265625,
-6.32421875,
-1.017578125,
9.40625
] | [
5.2890625,
10.109375,
1.7802734375,
7.01171875
] | 794 | 12,070 | [
-3.40625,
4.1015625
] | 38.453881 | [
-5.6015625,
-4.1953125,
-5.3671875,
-2.123046875,
2.09375,
13.515625
] | 1.627328 | 8.099716 | 14.722452 | 0.916129 | [
1.082467794418335
] | -110,067.244121 | 5.956669 | -173,326.48692 | 1.001433 | 6.011675 | [
-1.4638671875,
-3.330078125,
-4.2578125,
-5.6640625,
1.98828125,
13.0390625
] | [
-6.0390625,
-2.515625,
-2.421875,
-1.67578125,
4.4453125,
5.4140625
] | |
BkiUajHxK6nrxjHy_BsR | \section{Introduction and statements of results}
In theory of composites or micro-structures, it is important to find
inclusion shapes which produce the minimal energy. In
relation to such shapes Eshelby \cite{esh57} showed that if the
inclusion is of ellipsoidal shape, then for any uniform loading the
strain inside $... | -68,902.442316 | [
-3.236328125,
3.009765625
] | 23.046875 | [
-2.837890625,
0.2418212890625,
-2.205078125,
-5.27734375,
-0.69140625,
7.8125
] | [
2.673828125,
7.40625,
1.83984375,
6.36328125
] | 248 | 5,077 | [
-3.552734375,
4.10546875
] | 37.141569 | [
-5.46484375,
-3.798828125,
-4.4765625,
-2.31640625,
1.54296875,
12.125
] | 0.841666 | 15.863722 | 21.351192 | 2.611912 | [
1.8187789916992188
] | -44,846.36293 | 6.224936 | -69,120.863123 | 0.370206 | 5.849266 | [
-1.8876953125,
-3.38671875,
-3.794921875,
-5.14453125,
2.083984375,
12.125
] | [
-5.40234375,
-1.6962890625,
-2.3125,
-1.1884765625,
3.283203125,
3.78125
] | |
BkiUbVI5i7PA9OgJDNwj | \section{Introduction}
Recent works using deep convolutional networks have been successfully applied to a large variety of computer vision tasks,
such as image recognition \citep{He2016}, object segmentation \citep{He2017} and scene segmentation \citep{Chen2018}.
These networks are large.
For example, ResNet-152 has ... | -20,723.332523 | [
-2.33984375,
2.466796875
] | 59.311424 | [
-2.59375,
0.8935546875,
-1.3154296875,
-4.15234375,
-1.1318359375,
6.5546875
] | [
2.71484375,
7.57421875,
3.2421875,
7.68359375
] | 337 | 4,065 | [
-2.6484375,
2.91796875
] | 30.005501 | [
-5.921875,
-3.548828125,
-3.392578125,
-1.572265625,
2.21484375,
10.4765625
] | 1.839214 | 20.148665 | 21.156212 | 4.603238 | [
2.528294086456299
] | -16,659.403821 | 5.911931 | -20,432.444216 | 1.027796 | 5.698743 | [
-3.11328125,
-3.240234375,
-2.794921875,
-3.685546875,
2.603515625,
10.1015625
] | [
-5.87890625,
-1.671875,
-1.95703125,
-1.4921875,
3.400390625,
5.02734375
] | |
BkiUbEQ241xg-EsBtZ7v | \section{Introduction}
The tilting modules have become an important tool in different areas like Representation theory of Algebras \cite{hugel2007handbook}. In this paper, we use the foundational aspects developed in \cite{parte1} in order to set and develop a theory of relative tilting objects in abelian
categories.... | -410,965.910358 | [
-2.30078125,
2.291015625
] | 28.174198 | [
-2.951171875,
0.5595703125,
-2.490234375,
-5.7421875,
-0.712890625,
8.84375
] | [
4.19140625,
9.3359375,
2.314453125,
6.97265625
] | 2,089 | 26,279 | [
-3.04296875,
3.716796875
] | 35.209037 | [
-5.49609375,
-3.69140625,
-5.4765625,
-2.384765625,
1.7607421875,
13.625
] | 0.322509 | 14.872023 | 14.897827 | 1.884717 | [
1.9578964710235596
] | -261,833.517448 | 7.504243 | -408,159.484411 | 0.42849 | 6.344467 | [
-1.4013671875,
-3.177734375,
-4.12109375,
-5.359375,
1.7451171875,
12.359375
] | [
-5.9453125,
-2.419921875,
-2.34375,
-1.3408203125,
4.16796875,
5.27734375
] | |
BkiUdNc5qsBDGOt8lJgH | \section{Introduction}
{SAX J1753.5$-$2349}\ is a neutron star Low Mass X-ray Binary (LMXB) discovered in 1996 by {\it BeppoSAX}/Wide Field Camera (WFC)
during a single type-I X-ray burst \cite{zand99}.
However, no steady emission was detected from the source leading
to an upper limit of about 5 mCrab (2--8 keV) for ... | -14,399.861422 | [
-2.42578125,
2.240234375
] | 45.857988 | [
-2.96875,
0.434814453125,
-1.2177734375,
-4.6875,
-0.318603515625,
6.48828125
] | [
1.736328125,
6.21484375,
4.25,
3.0078125
] | 286 | 2,655 | [
-3.416015625,
3.94140625
] | 36.65608 | [
-5.18359375,
-1.822265625,
-1.7578125,
-1.5869140625,
0.75537109375,
7.61328125
] | 0.953009 | 20.148076 | 35.66855 | 8.83782 | [
1.940680742263794
] | -10,804.413405 | 5.137853 | -13,854.231203 | 0.659776 | 6.036869 | [
-3.666015625,
-3.4296875,
-2.849609375,
-3.607421875,
2.5078125,
10.265625
] | [
-6.1875,
-2.412109375,
-1.986328125,
-1.474609375,
3.642578125,
5.125
] | |
BkiUd9c4uzqh_N6SCiss | \section{Introduction}
The details of galaxies assembly and evolution processes still remain
relatively unknown. Much of our current knowledge of the high-redshift galaxy
populations still relies on the integrated spectra and multi-wavelength photometry
acquired through deep and wide surveys (eg. VVDS and COSMOS). ... | -8,863.916237 | [
-2.9609375,
2.8125
] | 36.633663 | [
-6.0703125,
-3.685546875,
-3.125,
-8.28125,
1.9970703125,
13.03125
] | [
4.76953125,
7.1328125,
3.494140625,
6.84375
] | 132 | 1,737 | [
-0.75927734375,
0.275146484375
] | 25.705304 | [
-6.12890625,
-5.046875,
-3.533203125,
-1.1796875,
2.462890625,
10.6953125
] | 1.215516 | 15.45856 | 36.787565 | 1.852655 | [
2.4396002292633057
] | -7,344.519733 | 5.446747 | -8,604.614307 | 0.380509 | 5.649929 | [
-4.01953125,
-4.3046875,
-3.50390625,
-3.55859375,
2.88671875,
9.9921875
] | [
-6.73046875,
-5.10546875,
-3.359375,
-2.712890625,
5.3203125,
8.8125
] | |
BkiUd6I4eILhQCVbe7nL |
\section{Introduction}
\label{sec:introduction}
Reverberation mapping (RM) has become a powerful tool for determining the physical properties of active galactic nuclei (AGN; \citealt{Peterson1993}). As the continuum of an AGN varies, each broad emission line (BEL) in its spectrum usually responds with a mean lag, $\... | -43,961.234281 | [
-3.271484375,
2.935546875
] | 45.443787 | [
-2.66796875,
0.541015625,
-1.8916015625,
-5.7421875,
-0.87451171875,
8.046875
] | [
3.169921875,
6.5234375,
2.27734375,
4.5390625
] | 681 | 12,386 | [
-3.17578125,
3.419921875
] | 25.514159 | [
-6.37890625,
-4.4453125,
-4.43359375,
-2.26953125,
2.068359375,
12.421875
] | 1.238126 | 22.079104 | 18.49669 | 2.746936 | [
2.671053886413574
] | -28,877.414519 | 5.575327 | -42,111.017633 | 0.347544 | 6.203261 | [
-3.130859375,
-3.791015625,
-3.43359375,
-4.390625,
2.423828125,
11.5234375
] | [
-5.53125,
-2.75,
-2.798828125,
-2.130859375,
3.82421875,
6.203125
] | |
BkiUbv_xK7Ehm2ZQzdWT | \section{Introduction}
Supersymmetry (SUSY) is a promising candidate for physics beyond the Standard Model (SM).
The supersymmetric extension predicts the superpartners of the SM particles,
and the masses of the SUSY particles are expected to be at least TeV-scale,
in order to explain the origin of the electroweak (EW)... | -30,023.088518 | [
-2.685546875,
2.544921875
] | 41.684902 | [
-2.298828125,
0.9404296875,
-1.955078125,
-5.09375,
-1.1201171875,
7.4296875
] | [
3.224609375,
9.09375,
3.466796875,
6.10546875
] | 430 | 6,290 | [
-2.33203125,
2.19140625
] | 30.873604 | [
-5.859375,
-4.359375,
-4.21484375,
-2.236328125,
1.837890625,
11.921875
] | 1.013424 | 16.61471 | 21.860095 | 5.562192 | [
2.364609718322754
] | -21,356.583823 | 5.412242 | -29,309.960686 | 0.599242 | 5.841275 | [
-2.666015625,
-3.65625,
-3.537109375,
-4.5234375,
2.189453125,
11.796875
] | [
-5.39453125,
-1.40625,
-1.6376953125,
-0.5791015625,
2.8671875,
3.57421875
] | |
BkiUdmA5qhLAB_d2fBwl | \section{Introduction}
\label{sec.1}
In a paper published in 2014, Chen \cite{2014GReGr..46.1833C} showed that if a Lorentz manifold $(M,\,g)$ possesses a timelike vector field $X$ for which there exists a real-valued function $f:M\rightarrow\mathbf{R}$ such that the following condition is fulfilled,
\begin{equation}
... | -65,012.555336 | [
-2.974609375,
2.61328125
] | 23.217923 | [
-2.73828125,
1.892578125,
-1.2021484375,
-5.6640625,
-1.80078125,
7.23828125
] | [
3.96484375,
9.6640625,
1.4423828125,
5.76171875
] | 224 | 4,201 | [
-3.630859375,
4.125
] | 35.511884 | [
-5.00390625,
-3.052734375,
-3.720703125,
-2.1328125,
1.21875,
10.65625
] | 3.326609 | 19.446284 | 26.85075 | 2.114329 | [
1.7935701608657837
] | -43,396.280004 | 6.253987 | -64,168.2045 | 0.989609 | 5.966358 | [
-1.87890625,
-2.98828125,
-3.486328125,
-5.2109375,
1.92578125,
11.703125
] | [
-5.92578125,
-2.4453125,
-2.62109375,
-2.005859375,
3.845703125,
5.08984375
] | |
BkiUakrxK5YsWOzBAUlJ | \section{Introduction}
Computer Vision research aims to converge at human-like abilities to interpret and extract useful information regarding behavioural patterns and anomalies from a descriptive set of visual data. However, human abilities have glaring limitations when it comes to analyzing simultaneously changing si... | -13,990.141074 | [
-2.484375,
2.5546875
] | 20.361991 | [
-3.263671875,
0.1124267578125,
-1.6494140625,
-4.90234375,
-0.426513671875,
7.015625
] | [
3.3828125,
6.984375,
2.736328125,
7.15234375
] | 166 | 2,790 | [
-2.2734375,
2.212890625
] | 23.342453 | [
-6.0234375,
-3.328125,
-3.609375,
-1.904296875,
2.041015625,
10.6796875
] | 1.051279 | 12.193244 | 33.154122 | 3.457911 | [
2.645979881286621
] | -9,970.842741 | 6.136918 | -13,803.326429 | 0.327065 | 5.841191 | [
-3.3515625,
-3.671875,
-2.923828125,
-3.798828125,
2.7109375,
10.3828125
] | [
-5.58203125,
-2.41015625,
-2.564453125,
-2.078125,
3.994140625,
5.9609375
] | |
BkiUd6TxK6wB9lIs9ivi |
\section{Stage 2: Descent}
\label{descent}
We now adapt the neural sparse coding approach of \citet{arora15-neural} to obtain an improved estimate of $A^*$. As mentioned earlier, at a high level the algorithm is akin to performing approximate gradient descent. The insight is that within a small enough neighborhood (i... | -136,256.809927 | [
-3.087890625,
2.783203125
] | 33.751425 | [
-3.029296875,
0.89306640625,
-1.6865234375,
-5.359375,
-1.6484375,
7.3828125
] | [
2.830078125,
7.9140625,
-0.55419921875,
5.390625
] | 919 | 15,859 | [
-3.26171875,
4.0234375
] | 33.24248 | [
-5.7578125,
-4.31640625,
-4.0859375,
-1.869140625,
2.19140625,
11.765625
] | 0.53743 | 19.162635 | 18.298758 | 1.481765 | [
1.9318490028381348
] | -77,222.190262 | 5.983732 | -135,453.818398 | 1.001096 | 6.435128 | [
-1.6630859375,
-3.26171875,
-4.06640625,
-5.51953125,
2.21875,
12.625
] | [
-5.234375,
-1.1123046875,
-1.482421875,
-1.099609375,
2.875,
2.93359375
] | |
BkiUdjg5qX_Bw5o9IG_E | \section{Introduction}
\begin{definition}\label{dip} (M. Gromov) A complex space $X$ is said to {\em satisfy the $h$-principle} (a property abbreviated by: `hP(X)') if:
for every Stein manifold $S$ and every continuous map
$f:S\to X$ there exists a holomorphic map $F:S\to X$
which is homotopic to $f$.
\end{definition}... | -43,020.466181 | [
-2.62890625,
2.3671875
] | 52.574526 | [
-2.4140625,
0.1851806640625,
-2.8515625,
-5.27734375,
-1.0205078125,
8.765625
] | [
4.359375,
9.3515625,
1.4052734375,
6.53515625
] | 458 | 7,159 | [
-3.1171875,
3.384765625
] | 28.292904 | [
-4.89453125,
-3.88671875,
-5.62109375,
-2.265625,
1.6943359375,
13.203125
] | 0.490116 | 32.216155 | 19.76533 | 0.652215 | [
1.875923752784729
] | -28,191.569757 | 5.130046 | -42,700.99323 | 0.239612 | 5.931088 | [
-1.2802734375,
-3.10546875,
-3.76953125,
-5.29296875,
1.78125,
12.0546875
] | [
-5.69140625,
-1.9296875,
-1.7392578125,
-0.69677734375,
3.927734375,
3.97265625
] | |
BkiUe0nxK7kjXLlzdoBA | \section{Introduction}
Cooperative relaying is traditionally seen as a physical layer scheme for analyzing and designing wireless link layer protocols \cite{Sendonaris2003}, with limited network-layer insights originating from such schemes. Indeed, the not-so-uncommon perception is: whatever be the physical layer tra... | -31,568.772818 | [
-3.1015625,
2.875
] | 47.982063 | [
-2.677734375,
0.320556640625,
-2.986328125,
-6.28515625,
-1.3544921875,
9.78125
] | [
2.9375,
7.578125,
1.0224609375,
6.16015625
] | 255 | 4,667 | [
-2.34765625,
2.314453125
] | 25.783742 | [
-6.54296875,
-5.17578125,
-5.6015625,
-2.482421875,
2.826171875,
14.3671875
] | 0.510869 | 26.565418 | 24.555389 | 1.102454 | [
1.513136863708496
] | -22,332.493446 | 6.081637 | -31,516.255892 | 0.465067 | 5.86185 | [
-2.60546875,
-3.65625,
-3.759765625,
-5.03125,
2.466796875,
12.234375
] | [
-5.09375,
-2.890625,
-2.6953125,
-2.234375,
4.25390625,
6.1171875
] | |
BkiUd2Y4ubnhDSvJRyHO | \section{Introduction}
Despite twelve years of intesive experimental and theoretical studies
of copper-oxide based superconducting compounds, \cite{conferences} no
consensus
about the fundamental physics or even about the minimum necessary
Hamiltonian to describe the phenomena has emerged. One of the
few theoretical... | -16,658.456506 | [
-3.279296875,
3.0234375
] | 16.231884 | [
-3.595703125,
-0.59423828125,
-2.013671875,
-5.0625,
-0.0999755859375,
7.83984375
] | [
3.203125,
8.0234375,
2.994140625,
5.62890625
] | 103 | 2,267 | [
-3.1015625,
3.625
] | 32.901718 | [
-6.06640625,
-4.15234375,
-4.109375,
-2.404296875,
1.7958984375,
11.890625
] | 1.764487 | 10.266464 | 31.892369 | 1.474778 | [
1.9453973770141602
] | -10,860.805481 | 4.74989 | -16,257.394442 | 0.371471 | 5.597099 | [
-3.080078125,
-4.05078125,
-3.67578125,
-4.78125,
2.529296875,
12.5234375
] | [
-5.26953125,
-1.4833984375,
-1.6494140625,
-0.62646484375,
2.689453125,
2.91015625
] | |
BkiUe404uzliCt-nLV60 | \section{Introduction}
Quantum communications and quantum computation apply quantum states to store
and transmit information. The capacity of a state for the purpose is dependent
on its dimension, so the higher dimension of a state means the higher capacity
to carry information. In addition, the use of higher dimensio... | -57,300.589033 | [
-3.23828125,
2.9296875
] | 10.843373 | [
-3.01953125,
0.68994140625,
-2.228515625,
-4.96875,
-1.0517578125,
7.74609375
] | [
1.876953125,
7.02734375,
1.6357421875,
5.5390625
] | 244 | 4,374 | [
-3.1015625,
3.40234375
] | 31.601022 | [
-5.39453125,
-3.197265625,
-3.158203125,
-1.857421875,
1.4853515625,
9.6171875
] | 0.667305 | 7.043833 | 22.519433 | 2.864693 | [
2.3773794174194336
] | -38,828.176644 | 6.680841 | -57,235.644423 | 0.800767 | 5.757226 | [
-2.59765625,
-3.6171875,
-3.958984375,
-4.98828125,
2.361328125,
12.1171875
] | [
-5.1640625,
-1.345703125,
-2.181640625,
-1.212890625,
3.1015625,
3.8203125
] | |
BkiUdmQ5qoTA_-bStSha | \section{Introduction}
The classification of associative algebras was instituted by Benjamin Peirce
in the 1870's \cite{pie}, who gave a partial classification of the complex
associative algebras of dimension up to 6, although in some sense, one can
deduce the complete classification from his results, with some additi... | -63,367.509695 | [
-3.271484375,
2.884765625
] | 25.984252 | [
-3.125,
0.317626953125,
-2.62890625,
-6.453125,
-0.68408203125,
9.5
] | [
3.634765625,
9.34375,
2.759765625,
7.546875
] | 373 | 7,043 | [
-3.41015625,
4.04296875
] | 35.323822 | [
-5.22265625,
-3.8828125,
-5.6796875,
-2.642578125,
1.5322265625,
13.4375
] | 0.979678 | 9.722057 | 19.565526 | 8.366862 | [
2.8633828163146973
] | -40,001.047139 | 5.652279 | -62,767.801248 | 1.105278 | 5.763082 | [
-1.7958984375,
-3.021484375,
-3.6796875,
-5.2890625,
1.7646484375,
12.0078125
] | [
-5.40625,
-1.1005859375,
-1.595703125,
-0.68408203125,
3.259765625,
2.978515625
] | |
BkiUbhzxK3YB9raXyg57 | \section{Introduction}
Humans are able to perform a wide variety of tasks with great flexibility; learning new motions is relatively easy, and adapting to new situations (e.g. change in the environment or body growth) is usually dealt with no particular effort. The strategies adopted by the central nervous system (CNS)... | -17,709.082116 | [
-3.380859375,
3.0859375
] | 44.285714 | [
-3.279296875,
0.369873046875,
-2.046875,
-6.5703125,
-0.85400390625,
9.09375
] | [
4.51953125,
6.5078125,
2.154296875,
9.6328125
] | 225 | 3,554 | [
-2.671875,
2.927734375
] | 22.494109 | [
-6.671875,
-5.1171875,
-5.0703125,
-2.275390625,
2.90234375,
13.4140625
] | 1.80857 | 22.660112 | 28.418683 | 1.388142 | [
1.9211151599884033
] | -13,444.485345 | 6.06753 | -17,359.107163 | 0.788351 | 5.701032 | [
-2.74609375,
-3.76953125,
-4.0546875,
-5.08203125,
2.712890625,
12.296875
] | [
-5.484375,
-2.25390625,
-2.41015625,
-1.8193359375,
3.71484375,
5.3984375
] | |
BkiUeFrxK4sA-9F9lSY9 | \section{\label{}}
\section{Introduction}
Even after the discovery of the Higgs-like particle at the Large Hadron Collider (LHC), phenomenology of the Higgs sector is not fully revealed.
The ATLAS and CMS experiments reported their recent results on signal strengths of the Higgs like boson (defined as the ratio of Hi... | -17,002.475923 | [
-2.57421875,
2.443359375
] | 52.682927 | [
-2.728515625,
0.8251953125,
-1.57421875,
-4.16796875,
-0.98876953125,
6.12109375
] | [
1.642578125,
7.4453125,
3.181640625,
4.58984375
] | 132 | 2,292 | [
-3.33203125,
3.84375
] | 30.73302 | [
-5.73046875,
-3.759765625,
-3.37890625,
-1.935546875,
1.6640625,
10.5
] | 1.096121 | 20.186209 | 29.712042 | 3.129077 | [
1.9827440977096558
] | -12,104.89676 | 5.17452 | -16,560.664234 | 1.112985 | 5.489125 | [
-3.0234375,
-3.720703125,
-3.4609375,
-4.37890625,
2.28125,
11.546875
] | [
-5.75,
-1.6240234375,
-1.857421875,
-0.81591796875,
3.22265625,
3.712890625
] | |
BkiUbuo5qoaAwmU2sBb7 | \subsection{Elementary derivations}
\begin{lemma}
\label{lem:hadamard_product}
Products of Hadamards are antipodes:
\begin{equation*}
\tikzfig{figures/equations/hadamard_product}
\end{equation*}
\end{lemma}
\begin{lproof}
\begin{equation*}
\tikzfig{figures/equations/hadamard_product_proof}
\end{equ... | -113,181.470871 | [
-1.7080078125,
1.4443359375
] | 20.348059 | [
-2.169921875,
3.166015625,
-1.4228515625,
-4.0234375,
-2.48828125,
5.14453125
] | [
-0.323974609375,
7.02734375,
-0.09930419921875,
5.5
] | 357 | 9,721 | [
-3.384765625,
3.90625
] | 31.479187 | [
-4.44921875,
-1.140625,
-2.4375,
-1.810546875,
0.55517578125,
8.15625
] | 0.517147 | 11.420079 | 19.823063 | 1.089728 | [
2.3058717250823975
] | -72,285.050677 | 6.962144 | -113,068.516511 | 1.374134 | 6.150462 | [
-1.822265625,
-2.2734375,
-4.1328125,
-5.9921875,
2.080078125,
12.578125
] | [
-4.6640625,
-0.5537109375,
-1.177734375,
-1.6337890625,
2.861328125,
2.771484375
] | |
BkiUd5E5qg5A51O-MOXL | \section{Introduction: Holographic molecular binding assays}
\label{sec:HPC}
\begin{figure*}
\centering
\includegraphics[width=0.75\textwidth]{schematic02.png}
\caption{(a)
Schematic representation of a molecular binding assay based on holographic particle characterization. Probe beads consist of
... | -16,670.9278 | [
-2.79296875,
2.73046875
] | 24.287653 | [
-2.634765625,
0.931640625,
-1.751953125,
-5.3984375,
-1.0625,
7.32421875
] | [
3.544921875,
6.23046875,
2.58203125,
6.65625
] | 198 | 3,479 | [
-0.62646484375,
0.386962890625
] | 23.152493 | [
-5.48046875,
-2.857421875,
-2.8125,
-1.935546875,
0.947265625,
9.890625
] | 0.840179 | 8.791616 | 29.088819 | 2.528924 | [
2.1798887252807617
] | -12,648.522566 | 6.158091 | -16,260.164181 | 0.546117 | 5.821545 | [
-3.3359375,
-3.736328125,
-2.9765625,
-3.6484375,
2.646484375,
10.375
] | [
-5.55859375,
-2.5859375,
-2.46484375,
-1.5078125,
3.515625,
5.19921875
] | |
BkiUbynxK4sA-9F9jLdg | \section{Thin film synthesis}
Thin films of CaRuO$_3$ (CRO) have been prepared by utilizing a metalorganic aerosol deposition technique~\cite{MAD}. Here, a solution of commercial acetylacetonates of Ca$^{2+}$ and Ru$^{3+}$, dissolved in dimethlyformamide, is sprayed with a pneumatic nozzle with dried air onto a heated... | -20,159.702773 | [
-3.251953125,
2.98828125
] | 25.66586 | [
-3.228515625,
0.396484375,
-1.9931640625,
-5.0234375,
-0.498291015625,
8.03125
] | [
3.38671875,
6.62109375,
3.27734375,
5.0546875
] | 314 | 4,077 | [
-1.5849609375,
1.822265625
] | 28.638405 | [
-5.14453125,
-1.37109375,
-1.98046875,
-2.078125,
0.127197265625,
7.875
] | 0.898729 | 18.714197 | 31.788079 | 5.387267 | [
1.8330917358398438
] | -14,109.812113 | 5.5948 | -19,515.081214 | 0.263043 | 6.124821 | [
-3.451171875,
-3.6953125,
-3.0078125,
-3.857421875,
2.482421875,
11.03125
] | [
-6.05859375,
-2.078125,
-2.703125,
-1.5546875,
3.8515625,
5.3203125
] | |
BkiUa245qsNCPV6Yix3b | \section{Introduction}
The study of fractional (noninteger order)
calculus on time scales is a subject of strong
current interest \cite{MyID:152,MyID:201,MyID:296,MyID:320}.
Recently, Benkhettou, Hassani and Torres
introduced a (local) fractional calculus on arbitrary
time scales $\mathbb{T}$ (called here the BHT frac... | -42,860.951091 | [
-2.88671875,
2.578125
] | 22.697368 | [
-3.345703125,
0.7880859375,
-2.03515625,
-5.73828125,
-0.9892578125,
8.7265625
] | [
3.533203125,
9.0625,
1.2255859375,
7.375
] | 113 | 2,303 | [
-3.521484375,
4.078125
] | 39.347946 | [
-5.5078125,
-4.01171875,
-4.4609375,
-2.1640625,
1.8759765625,
12.328125
] | 1.88705 | 11.499648 | 29.092488 | 2.259437 | [
1.7912437915802002
] | -29,684.804433 | 6.350847 | -43,295.686689 | 1.312731 | 5.698625 | [
-1.712890625,
-3.140625,
-4.25390625,
-5.83203125,
2.033203125,
13.3984375
] | [
-5.9453125,
-1.5673828125,
-1.9541015625,
-1.1728515625,
3.30078125,
3.830078125
] | |
BkiUdd4241xg-QyzEflc | \section{Introduction}\label{sec:1}
The blazars are the most extreme class of radio-loud active galactic nuclei (AGNs) in their unification scheme. Blazars are emitting electromagnetic radiation ranging from radio to High and Very High Energy $\gamma$-ray{} bands (HE; $\geq100$ MeV and VHE; $\geq100$ GeV) characterized... | -45,884.729391 | [
-3.177734375,
2.94140625
] | 12.944984 | [
-3.650390625,
-0.122314453125,
-1.95703125,
-6.203125,
-0.6669921875,
8.9921875
] | [
2.494140625,
7.95703125,
3.77734375,
4.3671875
] | 1,285 | 7,722 | [
-3.28125,
3.83203125
] | 38.574906 | [
-5.7734375,
-2.47265625,
-2.60546875,
-1.87109375,
1.0791015625,
9.59375
] | 1.168738 | 5.458176 | 29.046879 | 27.811632 | [
3.050300121307373
] | -31,964.882223 | 5.595571 | -43,287.407876 | 0.27772 | 6.371432 | [
-3.775390625,
-3.849609375,
-3.28515625,
-3.927734375,
2.53125,
11.203125
] | [
-6.2734375,
-2.326171875,
-2.451171875,
-1.4697265625,
4.00390625,
5.4375
] | |
BkiUbb04dbjiU9i0yjOT | \section{\label{sec1}Introduction}
Inflation, a quasi-exponential expansion of the very early Universe, is a required supplement to the Big Bang Universe, which can successfully solve the problems of horizon, flatness and monopole \cite{Guth1981,Linde1982,Albrecht1982}. Inflation is also able to predict the generation ... | -28,778.995635 | [
-2.556640625,
2.431640625
] | 31.981982 | [
-3.099609375,
0.79052734375,
-2.36328125,
-4.84375,
-0.25146484375,
6.91796875
] | [
2.75,
8.2890625,
1.84765625,
4.953125
] | 164 | 3,310 | [
-1.9775390625,
1.8134765625
] | 26.532643 | [
-6.24609375,
-4.19140625,
-4.734375,
-2.419921875,
2.19140625,
12.53125
] | 4.118087 | 15.400101 | 25.558912 | 2.98183 | [
3.106313467025757
] | -19,429.147399 | 6.866767 | -28,766.397291 | 2.529808 | 5.536963 | [
-2.87109375,
-3.791015625,
-3.873046875,
-4.6953125,
2.37109375,
12.21875
] | [
-5.53125,
-1.66796875,
-2.138671875,
-1.0087890625,
3.63671875,
4.1328125
] | |
BkiUec7xK02iP4Y2vYfY |
\section{Conclusion}
In this study we investigated the prevalence of code smells in ML projects. We gathered a dataset of 74 ML projects, ran the static analysis tool Pylint on them and collected the distribution of Pylint messages per category per project (\autoref{tab:results:msgs-per-category}), the top 10 code sm... | -20,143.291014 | [
-3.220703125,
2.8828125
] | 72.757475 | [
-3.546875,
0.203125,
-2.013671875,
-5.3046875,
0.5771484375,
7.6171875
] | [
1.6630859375,
5.109375,
2.84375,
7.4921875
] | 297 | 5,896 | [
-1.2919921875,
1.3447265625
] | 21.331497 | [
-6.66015625,
-4.703125,
-4.19140625,
-1.6318359375,
2.98828125,
12.875
] | 0.730931 | 48.561884 | 23.931479 | 2.113976 | [
1.4072391986846924
] | -16,599.684166 | 5.917062 | -19,863.826843 | 0.412761 | 6.018187 | [
-3.65234375,
-3.474609375,
-2.70703125,
-3.3984375,
3.23046875,
9.3046875
] | [
-6.9453125,
-4.00390625,
-2.916015625,
-2.333984375,
4.7734375,
7.98828125
] | |
BkiUbL7xK7Ehm308osVM | \section{Introduction}
The SM of particle physics has been tested and confirmed by many indirect and direct measurements in the last decades~\cite{ParticleDataGroup:2020ssz} and it was completed in 2012 by the discovery of the Brout-Englert-Higgs boson~\cite{ATLAS:2012yve,CMS:2012qbp}. Therefore, the focus of partic... | -20,006.427677 | [
-2.90234375,
2.71875
] | 42.753623 | [
-3.15625,
0.57421875,
-1.376953125,
-5.49609375,
-0.285400390625,
7.04296875
] | [
3.265625,
7.60546875,
4.734375,
6.49609375
] | 165 | 3,346 | [
-3.3984375,
3.845703125
] | 27.263812 | [
-5.8984375,
-3.716796875,
-4.12109375,
-2.447265625,
1.7080078125,
11.7890625
] | 0.95143 | 4.268395 | 31.022116 | 3.70414 | [
2.364413261413574
] | -15,160.931087 | 6.282427 | -19,481.648723 | 0.2664 | 5.944957 | [
-3.201171875,
-3.61328125,
-3.517578125,
-4.625,
2.33203125,
11.8203125
] | [
-5.83984375,
-1.8671875,
-1.724609375,
-1.2841796875,
3.384765625,
4.359375
] | |
BkiUdgs5qhLA5d-DF18W | \section{#1}}
\renewcommand{\theequation}{\arabic{equation}}
\newcommand{\app}[1]{\setcounter{section}{0}
\setcounter{equation}{0} \renewcommand{\thesection}{\Alph{section}}
\section{#1}}
\newcommand{\begin{equation}}{\begin{equation}}
\newcommand{\begin{eqnarray}}{\begin{eqnarray}}
\newcommand{\end{equation}}{\end{eq... | -45,104.036987 | [
-2.169921875,
1.744140625
] | 8.767773 | [
-3.248046875,
1.3212890625,
0.658203125,
-3.07421875,
-0.465576171875,
2.3515625
] | [
-3.720703125,
1.6552734375,
-4.41015625,
-2.3125
] | 181 | 2,956 | [
-2.470703125,
2.880859375
] | 41.069187 | [
-3.26171875,
-1.0498046875,
-1.8544921875,
-1.8564453125,
-0.1627197265625,
5.55859375
] | 0.77017 | 8.104704 | 38.599459 | 6.460758 | [
1.1663845777511597
] | -30,194.899121 | 6.36908 | -44,160.696174 | 0.509906 | 6.186344 | [
-2.736328125,
-2.455078125,
-3.162109375,
-4.375,
2.17578125,
10.1171875
] | [
-2.890625,
1.3896484375,
-0.81005859375,
-0.156005859375,
0.896484375,
-0.69091796875
] | |
BkiUal_xK2li-DeXxupJ | \section{Introduction}
Problems involving singularity have of late become a hugely popular interest of research in the Mathematical community. A good amount of research has been done to prove the existence of a solution to the problem
\begin{eqnarray}
-\Delta u&=& f(x)h(u)~\text{in}~\Omega,\nonumber\\
u&=&0~\... | -64,858.495042 | [
-2.830078125,
2.521484375
] | 22.586207 | [
-3.5546875,
1.0234375,
-1.7880859375,
-6.03125,
-1.0986328125,
8.6875
] | [
2.65234375,
8.0390625,
0.061126708984375,
5.7578125
] | 370 | 5,192 | [
-3.25390625,
3.89453125
] | 39.442929 | [
-5.640625,
-3.876953125,
-4.375,
-2.0234375,
1.7802734375,
11.5625
] | 0.622148 | 2.139012 | 23.497689 | 2.615788 | [
1.3498191833496094
] | -41,333.227622 | 6.036787 | -64,532.557966 | 0.918865 | 5.912014 | [
-1.685546875,
-3,
-4.171875,
-5.8203125,
1.7978515625,
12.609375
] | [
-5.765625,
-1.330078125,
-1.5703125,
-0.75830078125,
3.376953125,
2.798828125
] | |
BkiUbQHxK0iCl7UGVngH | \section{Introduction}
The condition number of a problem measures the sensitivity of a
solution to small perturbations in its input data. For many problems
that arise in numerical analysis, there is often a simple
relationship between the condition number of a problem instance and
the distance to the set of ill-posed p... | -32,385.449622 | [
-3.10546875,
2.80078125
] | 21.026895 | [
-2.427734375,
1.078125,
-1.9189453125,
-6.07421875,
-1.54296875,
8.2734375
] | [
3.55078125,
8.625,
2.0625,
8.8515625
] | 232 | 5,084 | [
-3.580078125,
4.2421875
] | 31.04671 | [
-5.82421875,
-4.61328125,
-4.8828125,
-2.306640625,
2.072265625,
13.15625
] | 0.741191 | 11.144455 | 22.501967 | 2.413871 | [
2.3206210136413574
] | -19,773.91195 | 5.174862 | -32,127.432741 | 0.615759 | 5.906423 | [
-2.080078125,
-3.326171875,
-3.451171875,
-4.890625,
2.162109375,
11.7421875
] | [
-5.63671875,
-2.357421875,
-2.443359375,
-1.921875,
3.740234375,
5.40234375
] | |
BkiUdY45qoYA4xX7Fs7m |
\section{Introduction}
Mastering networking, operating systems, and cybersecurity is inconceivable without
practical experience with real computer systems and tools. Practicing these skills in a physical or virtual laboratory or at students' own hosts is a common instructional practice. In general, students receive t... | -15,510.965399 | [
-1.91015625,
2.287109375
] | 63.186813 | [
-2.712890625,
1.0048828125,
-2.158203125,
-5.0390625,
-0.04681396484375,
6.9609375
] | [
2.966796875,
5.78515625,
1.779296875,
9.03125
] | 309 | 5,072 | [
-2,
2.1015625
] | 21.946735 | [
-5.2265625,
-1.87890625,
-2.380859375,
-1.2060546875,
1.2236328125,
8.140625
] | 1.856701 | 36.858249 | 26.217228 | 2.920937 | [
2.6108572483062744
] | -13,312.123959 | 5.79791 | -15,300.344506 | 0.982759 | 6.055302 | [
-3.83984375,
-3.015625,
-1.802734375,
-2.87890625,
2.923828125,
7.58203125
] | [
-6.40625,
-3.037109375,
-2.58203125,
-1.5498046875,
4.28515625,
6.3671875
] | |
BkiUc5025V5ipNhMBkE8 | \section{Sample-Wise Jacobian Regularization}\label{sec:method1}
Consider a supervised $K$-class classification problem in the multimodal context. Suppose that features from two distinct modalities $A$ (e.g., audio) and $B$ (e.g., video) are provided in the form of $\mathcal{D}_A=\{(\mathbf{x}^i_A,{y}^{i})\}_{i=1}^N$ a... | -187,093.30367 | [
-2.97265625,
2.5859375
] | 32.216216 | [
-3.056640625,
0.41162109375,
-1.8447265625,
-5.265625,
-0.91845703125,
7.81640625
] | [
0.406005859375,
7.40625,
-0.7216796875,
5.68359375
] | 2,790 | 15,978 | [
-3.484375,
3.861328125
] | 41.31109 | [
-5.6875,
-4.3203125,
-4.1171875,
-1.892578125,
2.25,
11.625
] | 0.465024 | 27.976294 | 13.205658 | 16.472019 | [
1.395916223526001
] | -127,866.188483 | 6.325573 | -181,969.814485 | 1.16355 | 6.574145 | [
-2.283203125,
-3.375,
-3.912109375,
-5.1015625,
2.43359375,
12.234375
] | [
-5.25390625,
-1.9501953125,
-2.365234375,
-1.783203125,
3.533203125,
5.31640625
] | |
BkiUbmzxK1UJ-rRH-1MD | \section{Introduction}
The large-scale structure (LSS) in the late Universe is a fundamental probe of the cosmological model, sensitive to both universal expansion and structure growth, and complementary to early Universe observations from the cosmic microwave background. The LSS can be mapped by large redshift survey... | -93,422.761735 | [
-3.48046875,
3.1484375
] | 24.074074 | [
-2.83984375,
0.6962890625,
-1.875,
-5.82421875,
-0.765625,
8.09375
] | [
5.98828125,
8.21875,
4.53515625,
8.2421875
] | 1,857 | 19,845 | [
-3.28515625,
3.861328125
] | 31.073323 | [
-5.99609375,
-2.89453125,
-3.724609375,
-2.349609375,
1.20703125,
11.609375
] | 1.015566 | 11.71509 | 16.48778 | 7.489681 | [
2.4991815090179443
] | -53,667.682828 | 5.68128 | -89,181.253169 | 0.319305 | 6.408205 | [
-3.50390625,
-3.78125,
-3.052734375,
-3.58203125,
2.681640625,
10.546875
] | [
-6.10546875,
-2.279296875,
-2.458984375,
-1.357421875,
3.951171875,
5.40625
] | |
BkiUbh04uzqh_Kly7RNW | \section{Foundations}
We adopt here the formulation presented by~\cite{Belbute-Peres2017}, and we extend it to include frictional forces between a pushed object and a support surface.
The transition function is given as $x_{t+1} = x_t + v_{t} dt$ where $dt$ is the duration of a constant short time-step. Velocity $v_{t... | -25,625.090006 | [
-2.73828125,
2.45703125
] | 30.083565 | [
-2.482421875,
2.033203125,
-1.0595703125,
-3.783203125,
-1.6689453125,
5.078125
] | [
1.9609375,
7.921875,
0.364990234375,
6.3515625
] | 239 | 2,758 | [
-3.41796875,
4.1328125
] | 30.678685 | [
-4.98828125,
-2.68359375,
-2.87109375,
-2.126953125,
1.2119140625,
8.9609375
] | 1.386161 | 11.267863 | 30.348078 | 5.859058 | [
2.8941190242767334
] | -17,200.198808 | 6.277737 | -25,106.351523 | 0.762389 | 5.74165 | [
-2.7890625,
-2.759765625,
-2.91015625,
-3.958984375,
2.287109375,
9.875
] | [
-5.484375,
-1.458984375,
-1.93359375,
-1.5634765625,
3.275390625,
3.9609375
] |
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