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--- abstract: 'There is evidence that Newton and Einstein’s theories of gravity cannot explain the dynamics of a universe made up solely of baryons and radiation. To be able to understand the properties of galaxies, clusters of galaxies and the universe on the whole it has become commonplace to invoke the presence of d...
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{ "baseline_loss": 1.8544608354568481, "char_change_proportion": 0.024080267558528434, "length_change_ratio": 0.02748763056624519, "length_difference": -250, "sentence_change_proportion": 0.04153283863107764, "sentences_changed_count": 3, "sentences_changed_ratio": 0.05172413793103448, "sentences_consid...
--- abstract: 'The structural properties of strongly coupled ions in dense plasmas with moderately to strongly degenerate electrons are investigated in the framework of the one-component plasma model of ions interacting through a screened pair interaction potential. Special focus is put on the description of the electr...
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{ "baseline_loss": 1.9496691226959229, "char_change_proportion": 0.029137529137529095, "length_change_ratio": 0.046973616140713916, "length_difference": -454, "sentence_change_proportion": 0.05569435769310847, "sentences_changed_count": 3, "sentences_changed_ratio": 0.05357142857142857, "sentences_consi...
--- abstract: 'A basis set expansion is performed to find the eigenvalues and wave functions for an electron on a toroidal surface $T^2$ subject to a constant magnetic field in an arbitrary direction. The evolution of several low-lying states as a function of field strength and field orientation is reported, and a proc...
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{ "baseline_loss": 1.750669240951538, "char_change_proportion": 0.001473787634219903, "length_change_ratio": 0.0007015574575557738, "length_difference": -5, "sentence_change_proportion": 0, "sentences_changed_count": 0, "sentences_changed_ratio": 0, "sentences_considered": 0, "sentences_perturbed": 0,...
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{ "baseline_loss": null, "char_change_proportion": 0, "length_change_ratio": 0, "length_difference": 0, "sentence_change_proportion": 0, "sentences_changed_count": 0, "sentences_changed_ratio": 0, "sentences_considered": 0, "sentences_perturbed": 0, "target_loss": null, "token_change_proportion": ...
--- author: - 'Zhun Zhong, Liang Zheng, Zhiming Luo, Shaozi Li, Yi Yang' bibliography: - 'egbib.bib' title: 'Learning to Adapt Invariance in Memory for Person Re-identification' --- [Shell : Bare Demo of IEEEtran.cls for Computer Society Journals]{} re-identification (re-ID) [@zheng2016personsurvery] is an image retr...
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{ "baseline_loss": 1.8290791511535645, "char_change_proportion": 0.051447443108519564, "length_change_ratio": 0.03178955921186268, "length_difference": -313, "sentence_change_proportion": 0.04491508082668304, "sentences_changed_count": 3, "sentences_changed_ratio": 0.04411764705882353, "sentences_consid...
--- abstract: 'MAISE is an open-source package for materials modeling and prediction. The code’s main feature is an automated generation of neural network (NN) interatomic potentials for use in global structure searches. The systematic construction of Behler-Parrinello-type NN models approximating *ab initio* energy an...
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{ "baseline_loss": 2.3123779296875, "char_change_proportion": 0.09566405764691266, "length_change_ratio": 0.0760129078522768, "length_difference": -636, "sentence_change_proportion": 0.09336697909156452, "sentences_changed_count": 5, "sentences_changed_ratio": 0.11904761904761904, "sentences_considered"...
--- abstract: 'We present a way to include non local potentials in the standard Diffusion Monte Carlo method without using the locality approximation. We define a stochastic projection based on a fixed node effective Hamiltonian, whose lowest energy is an upper bound of the true ground state energy, even in the presenc...
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{ "baseline_loss": 1.3883663415908813, "char_change_proportion": 0.04131184460553172, "length_change_ratio": 0.058349275758403936, "length_difference": -427, "sentence_change_proportion": 0.07375360527400082, "sentences_changed_count": 3, "sentences_changed_ratio": 0.09375, "sentences_considered": 3, ...
--- abstract: | Sparse superposition codes (SPARCs) are a class of codes for efficient communication over the AWGN channel at rates approaching the channel capacity. In a spatially coupled SPARC the design matrix has an<extra_id_1> the AWGN channel, an<extra_id_2> an i.id. Gaussian code the variance of the entries ...
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{ "baseline_loss": 1.502987265586853, "char_change_proportion": 0.04682274247491636, "length_change_ratio": 0.03324518322629392, "length_difference": 88, "sentence_change_proportion": 0.03245513554791905, "sentences_changed_count": 1, "sentences_changed_ratio": 0.05555555555555555, "sentences_considered...
--- abstract: | Gallai’s colouring theorem states that if the edges of a complete graph are 3-coloured, with each colour class forming a connected (spanning) subgraph, then there is a triangle that has all 3 colours. What happens for more colours: if we $k$-colour the edges of the complete graph, with each colour c...
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{ "baseline_loss": 1.211633563041687, "char_change_proportion": 0.06899776962371396, "length_change_ratio": 0.11000815882512918, "length_difference": -809, "sentence_change_proportion": 0.12952302631578946, "sentences_changed_count": 5, "sentences_changed_ratio": 0.10204081632653061, "sentences_consider...
--- abstract: | Let $X/S $ be a quasi-projective morphism over an affine base. We develop in this article a technique for proving the existence of closed subschemes $H/S$ of $X/S$ with various favorable properties. We offer several applications of this technique, including the existence of finite quasi-sections in ...
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{ "baseline_loss": 1.2959238290786743, "char_change_proportion": 0.0976309038780745, "length_change_ratio": 0.11330960854092527, "length_difference": -796, "sentence_change_proportion": 0.12608193883439123, "sentences_changed_count": 4, "sentences_changed_ratio": 0.06451612903225806, "sentences_consider...
--- abstract: 'In this note, we analyze the question of when will a complex nilmanifold have Kähler-like Strominger (also known as Bismut), Chern, or Riemannian connection, in the sense that the curvature of the connection obeys all the symmetries of that of a Kähler metric. We give a classification in the first two ca...
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{ "baseline_loss": 1.245490312576294, "char_change_proportion": 0.02799890200384303, "length_change_ratio": 0.02501389660922735, "length_difference": 180, "sentence_change_proportion": 0.01901565995525727, "sentences_changed_count": 2, "sentences_changed_ratio": 0.05405405405405406, "sentences_considere...
--- abstract: 'Let $I$ and $J$ be homogeneous ideals in a standard graded polynomial ring. We study upper bounds of the Hilbert function of the intersection of $I$ and $g(J)$, where $g$ is a general change of coordinates. Our address:' theorem.' address: ' Address: Satoshi Murai, Yamaguchi University, Yoshida 753-8512,...
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{ "baseline_loss": 0.9026881456375122, "char_change_proportion": 0.09046751669702491, "length_change_ratio": 0.08293321693583589, "length_difference": -570, "sentence_change_proportion": 0.12138982553877731, "sentences_changed_count": 5, "sentences_changed_ratio": 0.11627906976744186, "sentences_conside...
--- author: - 'Mohammad Fahim and Viveck R. Cadambe[^1][^2]' bibliography: - 'IEEEabrv.bib' - 'sample.bib' title: Numerically Stable Polynomially Coded Computing --- Introduction ============ The recently emerging area of “coded computing” focuses on incorporating redundancy based on coding-theory-inspired strategies...
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{ "baseline_loss": 1.5992640256881714, "char_change_proportion": 0.050419653250015295, "length_change_ratio": 0.05539671193709793, "length_difference": -465, "sentence_change_proportion": 0.08013895543842836, "sentences_changed_count": 4, "sentences_changed_ratio": 0.0851063829787234, "sentences_conside...
--- abstract: 'Photonic topological insulators are a promising photonic platform due to the possibility of unidirectional edge states with insensitivity to bending, fabrication imperfections or environmental fluctuation. Here we demonstrate highly efficient unidirectional photonic edge mode propagation facilitated by a...
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{ "baseline_loss": 1.7905490398406982, "char_change_proportion": 0.008061145279751547, "length_change_ratio": 0.009863339275103982, "length_difference": -83, "sentence_change_proportion": 0.013971817530451397, "sentences_changed_count": 3, "sentences_changed_ratio": 0.07692307692307693, "sentences_consi...
--- abstract: 'A local resolution of the Problem of Time has recently been given, alongside reformulation as a local theory of Background Independence. The classical part of this can be viewed as requiring just Lie’s Mathematics, albeit entrenched in subsequent Topology and Differential Geometry developments and extend...
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{ "baseline_loss": 2.2592926025390625, "char_change_proportion": 0.012574726860441143, "length_change_ratio": 0.002059308072487644, "length_difference": -15, "sentence_change_proportion": 0.011763077774702464, "sentences_changed_count": 1, "sentences_changed_ratio": 0.023809523809523808, "sentences_cons...
--- abstract: 'We study systems of stochastic differential equations describing positions $x_1,x_2,\ldots,x_p$ of $p$ ordered particles, with inter-particles repulsions of the form $\displaystyle{\frac{H_{ij}(x_i,x_j)}{x_i-x_j}}$. We show the existence of strong and pathwise unique non-colliding solutions of the system...
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{ "baseline_loss": 1.6417831182479858, "char_change_proportion": 0.022068598776921022, "length_change_ratio": 0.03910323253388947, "length_difference": -300, "sentence_change_proportion": 0.04274849200104904, "sentences_changed_count": 1, "sentences_changed_ratio": 0.02702702702702703, "sentences_consid...
--- abstract: 'Detections of gravitational wave (GW) stimulate the discussion of how GWs propagate in the expanding Universe. General relativity predicts that GWs are massless and propagate at the speed of light with no extra friction term, which relates to the attenuation of GWs, while some modified gravities may pred...
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{ "baseline_loss": 1.4149821996688843, "char_change_proportion": 0.2389320716458263, "length_change_ratio": 0.02996005326231691, "length_difference": -225, "sentence_change_proportion": 0.05180512682861361, "sentences_changed_count": 5, "sentences_changed_ratio": 0.09090909090909091, "sentences_consider...
--- abstract: 'In this paper, we present a new supervised learning algorithm that is based on the Hebbian learning algorithm in an attempt to offer a substitute for back propagation along with the gradient descent for a more biologically plausible method. The best performance for the algorithm was achieved when it was ...
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{ "baseline_loss": 1.5033514499664307, "char_change_proportion": 0.05322305701117491, "length_change_ratio": 0.08221334301973604, "length_difference": -679, "sentence_change_proportion": 0.09791488842824046, "sentences_changed_count": 4, "sentences_changed_ratio": 0.08695652173913043, "sentences_conside...
--- abstract: 'We consider a fluid-structure interaction model for an incompressible fluid where the elastic response of the free boundary is given by a damped Kirchhoff plate model. Utilizing the Newton polygon approach, we first prove maximal regularity in $L^p$-Sobolev spaces for a linearized version. Based on this,...
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{ "baseline_loss": 1.3983747959136963, "char_change_proportion": 0.025175776820140605, "length_change_ratio": 0.036371733966745846, "length_difference": -245, "sentence_change_proportion": 0.047512326311071267, "sentences_changed_count": 3, "sentences_changed_ratio": 0.08823529411764706, "sentences_cons...
--- abstract: 'With proton-proton collisions at PHENIX a variety of direct channels are used to probe the proton substructure. Of the many channels available at PHENIX, charged pion measurements are expected to have sensitivity of $\Delta$g and thus help in the global analysis that will constrain it. We present a measu...
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{ "baseline_loss": 1.8931957483291626, "char_change_proportion": 0.03563584838823941, "length_change_ratio": 0.056052885277509984, "length_difference": -407, "sentence_change_proportion": 0.06702672760005539, "sentences_changed_count": 3, "sentences_changed_ratio": 0.07317073170731707, "sentences_consid...
--- abstract: 'We consider the problem of predicting plausible missing facts in relational data, given a set of imperfect logical rules. In particular, our aim is to provide bounds on the (expected) number of incorrect inferences that are made in this way. Since for classical inference it is in general impossible to bo...
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{ "baseline_loss": 1.5666643381118774, "char_change_proportion": 0.024930747922437657, "length_change_ratio": 0.03235532877188913, "length_difference": -279, "sentence_change_proportion": 0.041817544679359886, "sentences_changed_count": 2, "sentences_changed_ratio": 0.038461538461538464, "sentences_cons...
--- abstract: 'We propose a method for recovering the shape of the mass power spectrum on large scales from the transmission fluctuations of the Lyman-alpha forest, which takes into account directly redshift-space distortions. The procedure, in discretized form, involves the inversion of a triangular matrix which proje...
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{ "baseline_loss": 1.4247965812683105, "char_change_proportion": 0.006396063960639631, "length_change_ratio": 0.00930460333006856, "length_difference": -76, "sentence_change_proportion": 0.010593742301059375, "sentences_changed_count": 1, "sentences_changed_ratio": 0.024390243902439025, "sentences_consi...
--- abstract: 'We make use of a recently developed method to, not only obtain the exactly known eigenstates and eigenvalues of a number of quasi-exactly solvable Hamiltonians, but also construct a convergent approximation scheme for locating those levels, not amenable to analytical treatments. The fact that, the above ...
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{ "baseline_loss": 1.687318205833435, "char_change_proportion": 0.0351279990816209, "length_change_ratio": 0.06508218569524656, "length_difference": -586, "sentence_change_proportion": 0.07013625195443378, "sentences_changed_count": 3, "sentences_changed_ratio": 0.06666666666666667, "sentences_considere...
--- abstract: 'Core to the vision-and-language navigation (VLN) challenge is building robust instruction representations and action decoding schemes, which can generalize well to previously unseen instructions and environments. In this paper, we report two simple but highly effective methods to address these challenges...
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{ "baseline_loss": 1.8909553289413452, "char_change_proportion": 0.001415227851684131, "length_change_ratio": 0.0016968325791855204, "length_difference": -3, "sentence_change_proportion": 0, "sentences_changed_count": 0, "sentences_changed_ratio": 0, "sentences_considered": 0, "sentences_perturbed": 0...
--- abstract: 'Deep learning researchers commonly suggest that converged models are stuck in local minima. More recently, some researchers observed that under reasonable assumptions, the vast majority of critical points are saddle points, not true minima. Both descriptions suggest that weights converge around a point i...
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{ "baseline_loss": 1.6916556358337402, "char_change_proportion": 0.030358390199344498, "length_change_ratio": 0.0332875409489591, "length_difference": -315, "sentence_change_proportion": 0.05260355659674156, "sentences_changed_count": 6, "sentences_changed_ratio": 0.07792207792207792, "sentences_conside...
--- author: - | Martial MAZARS[^1]\ Laboratoire de Physique Théorique (UMR 8627),\ Université de Paris XI, Bâtiment 210, 91405 Orsay Cedex, FRANCE title: 'Ewald sums for Yukawa potentials in quasi-two-dimensional systems.' --- LPT 06-98 [**Abstract**]{} In this note, we derive Ewald sums for Yukawa poten...
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{ "baseline_loss": 1.3520845174789429, "char_change_proportion": 0.018656716417910446, "length_change_ratio": 0.031221303948576674, "length_difference": -238, "sentence_change_proportion": 0.035634451019066406, "sentences_changed_count": 3, "sentences_changed_ratio": 0.125, "sentences_considered": 3, ...
--- author: - | Ali Masoumi[^1] , Xiao Xiao[^2] , and I-Sheng Yang[^3]\ *ISCAP and Physics Department\ Columbia University, New York, NY, 10027 , U.S.A.\ * bibliography: - 'all.bib' title: Bubble Nucleation of Spatial Vector Fields --- Introduction and Outline ======================== The study of fir...
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{ "baseline_loss": 1.7654348611831665, "char_change_proportion": 0.05525078369905956, "length_change_ratio": 0.03767781622452903, "length_difference": -294, "sentence_change_proportion": 0.07724155776943978, "sentences_changed_count": 6, "sentences_changed_ratio": 0.09230769230769231, "sentences_conside...
--- abstract: 'The increasing penetration of electric vehicles over the coming decades, taken together with the high cost to upgrade local distribution networks and consumer demand for home charging, suggest that managing congestion on low voltage networks will be a crucial component of the electric vehicle revolution ...
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{ "baseline_loss": 1.9782226085662842, "char_change_proportion": 0.0304918032786885, "length_change_ratio": 0.04674991994876721, "length_difference": -438, "sentence_change_proportion": 0.05573453608247423, "sentences_changed_count": 2, "sentences_changed_ratio": 0.03773584905660377, "sentences_consider...
--- abstract: 'The production of the resonance $X(3823)$, identified as the charmonium $^3D_2$ state, in the process $e^+e^- \to \pi \pi X(3823)$ has been recently reported by BESIII. It is pointed out that this process is fully described, up to one overall coupling constant, in the soft pion limit. An interpretation o...
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{ "baseline_loss": 1.5227431058883667, "char_change_proportion": 0.018546630585439927, "length_change_ratio": 0.008543638275499475, "length_difference": -65, "sentence_change_proportion": 0.029617876504032793, "sentences_changed_count": 3, "sentences_changed_ratio": 0.06818181818181818, "sentences_consi...
--- abstract: 'A phenomenological QCD quasiparticle model provides a means to map lattice QCD results to regions relevant for a variety of heavy-ion collision experiments at larger baryon density. We False state.' author: - | R. Schulze[^1], B. Kämpfer\ \ Forschungszentrum Dresden-Rossendorf, PF 510119, 013...
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{ "baseline_loss": 1.4257923364639282, "char_change_proportion": 0.035269528868762556, "length_change_ratio": 0.054058634129808505, "length_difference": -319, "sentence_change_proportion": 0.06864754098360656, "sentences_changed_count": 4, "sentences_changed_ratio": 0.08163265306122448, "sentences_consi...
--- abstract: | In this paper we use the Fourier transform method and the expansion formula for the polylogarithm function to derive approximations for the Caputo derivative of order $2-{\alpha}$ and $2$. The approximations are applied for computing the numerical solutions of the fractional relaxation and subdiffus...
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{ "baseline_loss": 0.9297524690628052, "char_change_proportion": 0.04051520339121217, "length_change_ratio": 0.06940509915014165, "length_difference": -441, "sentence_change_proportion": 0.07810034711265383, "sentences_changed_count": 1, "sentences_changed_ratio": 0.07692307692307693, "sentences_conside...
--- abstract: 'Graph representation learning resurges as a trending research subject owing to the widespread use of deep learning for Euclidean data, which inspire various creative designs of neural networks in the non-Euclidean domain, particularly graphs. With the success of these graph neural networks (GNN) in the s...
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{ "baseline_loss": 1.9840627908706665, "char_change_proportion": 0.13871588721549089, "length_change_ratio": 0.0975872468763464, "length_difference": -906, "sentence_change_proportion": 0.11878932523323932, "sentences_changed_count": 5, "sentences_changed_ratio": 0.0847457627118644, "sentences_considere...
--- abstract: | The ad-trading desks of media-buying agencies are increasingly relying on complex algorithms for purchasing advertising inventory. In particular, Real-Time Bidding (RTB) algorithms respond to many auctions – usually Vickrey auctions – throughout the day for buying ad-inventory with the aim of maximi...
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{ "baseline_loss": 1.9914724826812744, "char_change_proportion": 0.00756333633045958, "length_change_ratio": 0.01041776281174366, "length_difference": -99, "sentence_change_proportion": 0.014584654407102092, "sentences_changed_count": 2, "sentences_changed_ratio": 0.04081632653061224, "sentences_conside...
--- abstract: 'Stochastic blockmodels have been proposed as a tool for detecting community structure in networks as well as for generating synthetic networks for use as benchmarks. Most blockmodels, however, ignore variation in vertex degree, making them unsuitable for applications to real-world networks, which typical...
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{ "baseline_loss": 1.698655605316162, "char_change_proportion": 0.014098690835850913, "length_change_ratio": 0.018754988028731046, "length_difference": -188, "sentence_change_proportion": 0.0241870734644721, "sentences_changed_count": 2, "sentences_changed_ratio": 0.04081632653061224, "sentences_conside...
--- author: - 'Markus Diehl,' - 'Jonathan R. Gaunt,' - Daniel Ostermeier - 'Peter Plö[ß]{}l' - and Andreas Schäfer bibliography: - 'factdDY.bib' title: 'Cancellation of Glauber gluon exchange in the double Drell-Yan process' --- We are indebted to John Collins for numerous helpful discussions. Thanks go to Maarten Buf...
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{ "baseline_loss": 2.413231372833252, "char_change_proportion": 0.002111189303307559, "length_change_ratio": 0.0014064697609001407, "length_difference": -1, "sentence_change_proportion": 0, "sentences_changed_count": 0, "sentences_changed_ratio": 0, "sentences_considered": 0, "sentences_perturbed": 0,...
--- abstract: 'Within the framework of Ginzburg-Landau theory we study the rich variety of interfacial phase transitions in twinning-plane superconductors. We show that the phase behaviour strongly depends on the transparency of the twinning plane for electrons measured by means of the coupling parameter $\alpha_{{\rm ...
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{ "baseline_loss": 1.6215994358062744, "char_change_proportion": 0.02570649335577091, "length_change_ratio": 0.03186386477843764, "length_difference": -279, "sentence_change_proportion": 0.043478260869565216, "sentences_changed_count": 2, "sentences_changed_ratio": 0.03571428571428571, "sentences_consid...
--- abstract: 'Let $R$ be a ring spectrum and $ {\mathcal{E}}\to X$ an $R$-module bundle of rank $n$. Our main result is to identify the homotopy type of the group-like monoid of homotopy automorphisms of this bundle, $hAut^R({\mathcal{E}})$. This will generalize the result regarding $R$-line bundles proven by the auth...
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{ "baseline_loss": 1.1971544027328491, "char_change_proportion": 0.033880094549101014, "length_change_ratio": 0.05746486712119104, "length_difference": -413, "sentence_change_proportion": 0.06518082422203532, "sentences_changed_count": 3, "sentences_changed_ratio": 0.06976744186046512, "sentences_consid...
--- abstract: 'We will present a summary of the observations of blazars by the Energetic Gamma Ray Experiment Telescope (EGRET) on the Compton Gamma Ray Observatory (CGRO). EGRET has detected high energy $\gamma$-ray emission at energies greater than 100 MeV from more that 50 blazars. These sources show inferred isotro...
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{ "baseline_loss": 1.5529663562774658, "char_change_proportion": 0.09525186513214967, "length_change_ratio": 0.10903324584426946, "length_difference": -997, "sentence_change_proportion": 0.1213324509155085, "sentences_changed_count": 7, "sentences_changed_ratio": 0.10144927536231885, "sentences_consider...
1.5cm [**$P$ fluxes and exotic branes**]{} 1.5cm [**Davide M. Lombardo$^1$, Fabio Riccioni$^2$ and Stefano Risoli$^{1,2}$**]{} [*$^1$ -.1truecm Dipartimento di Fisica, Università di Roma “La Sapienza”,\ Piazzale Aldo Moro 2, 00185 Roma, Italy* ]{} [*$^2$ -.1truecm INFN Sezione di Roma, Dipartimento di Fisica, Univ...
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{ "baseline_loss": 1.2946858406066895, "char_change_proportion": 0.011676786548341922, "length_change_ratio": 0.01973177123477725, "length_difference": -128, "sentence_change_proportion": 0.022449295556587708, "sentences_changed_count": 1, "sentences_changed_ratio": 0.03571428571428571, "sentences_consi...
--- abstract: 'During the last years, many observational studies have revealed that binaries play an active role in the shaping of non spherical planetary nebulae. We review the different works that lead to the direct or indirect evidence for the presence of binary companions during the Asymptotic Giant Branch, proto-P...
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{ "baseline_loss": 1.9266213178634644, "char_change_proportion": 0.12971971276349314, "length_change_ratio": 0.12181857733304328, "length_difference": -1120, "sentence_change_proportion": 0.15455543358946214, "sentences_changed_count": 9, "sentences_changed_ratio": 0.11392405063291139, "sentences_consid...
--- abstract: 'We study a two-dimensional tight-binding lattice for excitons with on-site disorder, coupled to a thermal environment at infinite temperature. The disorder acts to localise an exciton spatially, while the environment generates dynamics which enable exploration of the lattice. Although the steady state of...
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{ "baseline_loss": 1.6253225803375244, "char_change_proportion": 0.01065467758822447, "length_change_ratio": 0.009439745004290793, "length_difference": -77, "sentence_change_proportion": 0.02220577350111029, "sentences_changed_count": 3, "sentences_changed_ratio": 0.058823529411764705, "sentences_consid...
--- abstract: 'Massive multiple-input multiple-output (MIMO) systems achieve high sum spectral efficiency by offering an order of magnitude increase in multiplexing gains. In time division duplexing systems, however, the reuse of uplink training pilots among cells results in additional channel estimation error, which c...
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{ "baseline_loss": 1.5078524351119995, "char_change_proportion": 0.016301767343708806, "length_change_ratio": 0.01601423487544484, "length_difference": -153, "sentence_change_proportion": 0.02867383512544803, "sentences_changed_count": 3, "sentences_changed_ratio": 0.04838709677419355, "sentences_consid...
--- abstract: 'For all positive integers $r\geq 3$ and $n$ such that $r^2-r$ divides $n$ and an affine plane of order $r$ exists, we construct an $r$-edge colored graph with minimum degree $(1-\frac{r-2}{r^2-r})n-2$ such that the largest monochromatic component has order less than $\frac{n}{r-1}$. This generalizes an e...
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{ "baseline_loss": 0.9362232089042664, "char_change_proportion": 0.02094696071456803, "length_change_ratio": 0.017395392571697227, "length_difference": -111, "sentence_change_proportion": 0.029058749210360075, "sentences_changed_count": 2, "sentences_changed_ratio": 0.05405405405405406, "sentences_consi...
--- abstract: 'In the framework of quark models, hybrid mesons are either seen as two-body $q\bar q$ systems with an excited flux tube connecting the quark to the antiquark or as three-body $q\bar q g$ systems including a constituent gluon. In this work we show that, starting from the three-body wave function of the $q...
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{ "baseline_loss": 1.4889695644378662, "char_change_proportion": 0.03025728987993137, "length_change_ratio": 0.05094945172506018, "length_difference": -381, "sentence_change_proportion": 0.06343434343434344, "sentences_changed_count": 4, "sentences_changed_ratio": 0.08163265306122448, "sentences_conside...
--- abstract: 'The effects of delayed feedback terms on nonlinear oscillators has been extensively studied, and have important applications in many areas of science and engineering. We study a particular class of second-order delay-differential equations near a point of triple-zero nilpotent bifurcation. Using center m...
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{ "baseline_loss": 1.405624270439148, "char_change_proportion": 0.04133674169212542, "length_change_ratio": 0.0694511314395763, "length_difference": -577, "sentence_change_proportion": 0.07970488630865989, "sentences_changed_count": 3, "sentences_changed_ratio": 0.08571428571428572, "sentences_considere...
--- abstract: 'Experimental studies are carried out to investigate the effects of the geometrical parameters with a drag reducing spike on a hemispherical forebody in a supersonic freestream of $M_\infty=2.0$ at $0^{\circ}$ angle of attack. The spike length $(l/D=0.5,1.0,1.5,2.0)$, spike stem diameter $(d/D=0.06,0.12,0...
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{ "baseline_loss": 1.7689297199249268, "char_change_proportion": 0.0012197470629774498, "length_change_ratio": 0.000899165061014772, "length_difference": 7, "sentence_change_proportion": 0.00012903225806451613, "sentences_changed_count": 1, "sentences_changed_ratio": 0.027777777777777776, "sentences_con...
--- abstract: 'We introduce the quantum stochastic walk (QSW), which determines the evolution of generalized quantum mechanical walk on a graph that obeys a quantum stochastic equation of motion. Using an axiomatic approach, we specify the rules for all possible quantum, classical and quantum-stochastic transitions fro...
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{ "baseline_loss": 1.7079720497131348, "char_change_proportion": 0.0725088691105994, "length_change_ratio": 0.10127629402032616, "length_difference": -857, "sentence_change_proportion": 0.12217463716393052, "sentences_changed_count": 5, "sentences_changed_ratio": 0.09803921568627451, "sentences_consider...
--- abstract: 'Moderated by a director, laymen and students are encouraged to assume the role of quanta and enact a quantum cryptographic protocol. The performance is based on a generalized urn model capable of reproducing complementarity even for classical chocolate balls.' author: - Karl Svozil title: 'Staging quantu...
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{ "baseline_loss": 2.406270742416382, "char_change_proportion": 0.19205443371378406, "length_change_ratio": 0.08047187697493154, "length_difference": -764, "sentence_change_proportion": 0.11715347849176845, "sentences_changed_count": 8, "sentences_changed_ratio": 0.13559322033898305, "sentences_consider...
--- abstract: 'The integration-by-parts formula discovered by Malliavin for the It\^ o map on Wiener space is proved using the two-parameter stochastic calculus. It is also shown that the solution of a one-parameter stochastic differential equation driven by a two-parameter semimartingale is itself a two-parameter semi...
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{ "baseline_loss": 1.5360612869262695, "char_change_proportion": 0.03009781790820165, "length_change_ratio": 0.048171537670729916, "length_difference": -328, "sentence_change_proportion": 0.057806031933767, "sentences_changed_count": 3, "sentences_changed_ratio": 0.07317073170731707, "sentences_consider...
--- abstract: 'Missing outcomes are a commonly occurring problem for cluster randomised trials, which can lead to biased and inefficient inference if ignored or handled inappropriately. Two approaches for analysing such trials are cluster-level analysis and individual-level analysis. In this study, we assessed the perf...
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{ "baseline_loss": 1.4915987253189087, "char_change_proportion": 0.06478283621140768, "length_change_ratio": 0.09471585244267199, "length_difference": -950, "sentence_change_proportion": 0.12166231680385464, "sentences_changed_count": 7, "sentences_changed_ratio": 0.1111111111111111, "sentences_consider...
--- author: - Benhui Yang - 'K. M. Walker' - 'R. C. Stancil' - 'P. C. Stancil' - 'N. Balakrishnan' title: Collisional quenching of highly rotationally excited HF --- [Collisional excitation rate coefficients play an important role in the dynamics of energy transfer in the interstellar medium. In particular the collis...
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{ "baseline_loss": 1.624015212059021, "char_change_proportion": 0.035212862318840576, "length_change_ratio": 0.038640906062624915, "length_difference": -348, "sentence_change_proportion": 0.062625810780586, "sentences_changed_count": 5, "sentences_changed_ratio": 0.07692307692307693, "sentences_consider...
--- author: - | [Nicolas Weber,]{} [Florian Schmidt,]{} [Mathias Niepert,]{} [Felipe Huici]{}\ NEC Laboratories Europe, Systems and Machine Learning Group title: 'BrainSlug: Transparent Acceleration of Deep Learning Through Depth-First Parallelism' --- =1
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{ "baseline_loss": null, "char_change_proportion": 0, "length_change_ratio": 0, "length_difference": 0, "sentence_change_proportion": 0, "sentences_changed_count": 0, "sentences_changed_ratio": 0, "sentences_considered": 0, "sentences_perturbed": 0, "target_loss": null, "token_change_proportion": ...
<span style="font-variant:small-caps;">Stochastic flows with reflection</span> [Institute of Mathematics of Ukrainian Academy of Sciences, Dept. of Stochastic Processes, 3 Tereschenkovskaya Str., 01601 Kiev-4, UKRAINE. ( apilip@imath.kiev.ua)]{} [**Summary:** Some topological properties of stochastic flow $\varphi_t(...
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{ "baseline_loss": 1.2014843225479126, "char_change_proportion": 0.09722777023248386, "length_change_ratio": 0.015379736800380529, "length_difference": -97, "sentence_change_proportion": 0.045686900958466455, "sentences_changed_count": 6, "sentences_changed_ratio": 0.14285714285714285, "sentences_consid...
--- author: - | Dirk Helbing\ II. Institut für Theoretische Physik\ Universität Stuttgart title: Models for Pedestrian Behavior --- Abstract ======== The behavior of pedestrians shows certain regularities, which can be described by quantitative (partly stochastic) models. The same phenomena are shown on t...
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{ "baseline_loss": 1.7592988014221191, "char_change_proportion": 0.210337552742616, "length_change_ratio": 0.029925187032418952, "length_difference": -288, "sentence_change_proportion": 0.05393494228751312, "sentences_changed_count": 6, "sentences_changed_ratio": 0.08333333333333333, "sentences_consider...
--- abstract: 'We present a computational study of the layered copper oxychloride (CuCl)LaNb$_2$O$_7$ that has been recently proposed as a spin-1/2 frustrated square lattice compound. Our results evidence an orbitally degenerate ground state for the reported tetragonal crystal structure and reveal a Jahn-Teller-type st...
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{ "baseline_loss": 1.5692352056503296, "char_change_proportion": 0.018297821114722557, "length_change_ratio": 0.020964860035735555, "length_difference": -176, "sentence_change_proportion": 0.03793227234653584, "sentences_changed_count": 5, "sentences_changed_ratio": 0.08620689655172414, "sentences_consi...
--- abstract: 'In present work, we propose the analysis method of lightning based on the color analysis. We analyzed the digital still images in which the cloud-to-ground (CG) and intracloud (IC) lightning flashes are shown. Applying some digital image processing techniques, we extracted lightning channels. Then, the c...
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{ "baseline_loss": 1.9307712316513062, "char_change_proportion": 0.0014306151645206988, "length_change_ratio": 0.0009532888465204957, "length_difference": -1, "sentence_change_proportion": 0, "sentences_changed_count": 0, "sentences_changed_ratio": 0, "sentences_considered": 0, "sentences_perturbed": ...
--- abstract: | Background : Effective interactions, either derived from microscopic theories or based on fitting selected properties of nuclei in specific mass regions, are widely used inputs to shell-model studies of nuclei. The commonly used unperturbed basis functions are given by the harmonic oscillator...
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{ "baseline_loss": 1.5809426307678223, "char_change_proportion": 0.17484975620818688, "length_change_ratio": 0.08178357803153888, "length_difference": -752, "sentence_change_proportion": 0.10395604395604395, "sentences_changed_count": 7, "sentences_changed_ratio": 0.1076923076923077, "sentences_consider...
--- abstract: | We propose a solution to the ‘cuspy-core’ problem by extending the geodesic equations of motion using the Dark Energy length scale $\lambda_{DE}=c/(\Lambda_{DE} G)^{1/2}$. This extension does not affect the motion of photons; gravitational lensing is unchanged. A cosmological check of the theory is ...
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{ "baseline_loss": 1.6483700275421143, "char_change_proportion": 0.015810527652549422, "length_change_ratio": 0.022476142641888498, "length_difference": -179, "sentence_change_proportion": 0.029196157735085944, "sentences_changed_count": 2, "sentences_changed_ratio": 0.041666666666666664, "sentences_con...
--- abstract: '*We present an algorithm for classification tasks on big data. Experiments conducted as part of this study indicate that the algorithm can be as accurate as ensemble methods such as random forests or gradient boosted trees. Unlike ensemble methods, the models produced by the algorithm can be easily inter...
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{ "baseline_loss": 1.8597356081008911, "char_change_proportion": 0.05039950829748008, "length_change_ratio": 0.06750470157378996, "length_difference": -682, "sentence_change_proportion": 0.09624600638977636, "sentences_changed_count": 8, "sentences_changed_ratio": 0.0963855421686747, "sentences_consider...
--- abstract: 'For each $n$ we construct examples of finitely presented $C''(1/6)$ small cancellation groups that do not act properly on any $n$-dimensional CAT(0) cube complex.' address: 'Department of Mathematics, University of Chicago, Chicago, Illinois, 60637' author: - Kasia Jankiewicz bibliography: - 'kasia.bib' ...
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{ "baseline_loss": 1.3461782932281494, "char_change_proportion": 0.03028583587488476, "length_change_ratio": 0.046688833471875864, "length_difference": -337, "sentence_change_proportion": 0.05693103930619667, "sentences_changed_count": 3, "sentences_changed_ratio": 0.05172413793103448, "sentences_consid...
--- abstract: 'In anticipation of the July 2015 flyby of the Pluto system by NASA’s New Horizons mission, we propose naming conventions and example names for surface features on Pluto and its satellites (Charon, Nix, Hydra, Kerberos, Styx) and names for newly discovered satellites.' author: - | Eric E. Mamajek$^{1}...
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{ "baseline_loss": 1.7162494659423828, "char_change_proportion": 0.02551834130781494, "length_change_ratio": 0.03755868544600939, "length_difference": -288, "sentence_change_proportion": 0.047375997906033245, "sentences_changed_count": 2, "sentences_changed_ratio": 0.07407407407407407, "sentences_consid...
--- abstract: 'We study low-temperature magnetization processes in a stacked triangular Ising antiferromagnet by Monte Carlo simulations. In increasing and decreasing magnetic fields we observe multiple steps and hysteresis corresponding to formation of different metastable states. Besides the equidistant threefold spl...
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{ "baseline_loss": 1.6457680463790894, "char_change_proportion": 0.03072232645403372, "length_change_ratio": 0.05029721079103795, "length_difference": -440, "sentence_change_proportion": 0.0595470743763651, "sentences_changed_count": 3, "sentences_changed_ratio": 0.0625, "sentences_considered": 3, "se...
--- abstract: 'The emptiness of the Local Void has been put forward as a serious challenge to the current standard paradigm of structure formation in $\Lambda$CDM. We use a high resolution cosmological N-body simulation, the Millennium-II run, combined with a sophisticated semi-analytic galaxy formation model, to explo...
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{ "baseline_loss": 1.8338689804077148, "char_change_proportion": 0.023434411880964512, "length_change_ratio": 0.0021435018050541517, "length_difference": -19, "sentence_change_proportion": 0.03183989083466, "sentences_changed_count": 4, "sentences_changed_ratio": 0.06451612903225806, "sentences_consider...
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{ "baseline_loss": null, "char_change_proportion": 0, "length_change_ratio": 0, "length_difference": 0, "sentence_change_proportion": 0, "sentences_changed_count": 0, "sentences_changed_ratio": 0, "sentences_considered": 0, "sentences_perturbed": 0, "target_loss": null, "token_change_proportion": ...
Atomic parity nonconservation (PNC) has now been measured in bismuth [@Bi], lead [@Pb], thallium [@Tl], and cesium [@Cs]. Analysis of the data provides an important test of the Standard Electroweak model and imposes constraints on new physics beyond the model, see Ref. [@RPP]. The analysis is based on the atomic many-b...
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{ "baseline_loss": 1.5575157403945923, "char_change_proportion": 0.07073295745771402, "length_change_ratio": 0.03648257642470751, "length_difference": -290, "sentence_change_proportion": 0.054490029213768575, "sentences_changed_count": 5, "sentences_changed_ratio": 0.06944444444444445, "sentences_consid...
--- abstract: 'We present new radial velocity (RV) measurements for 11 candidate young very-low-mass stars and brown dwarfs, with spectral types from M7 to L7. Candidate young objects were identified by features indicative of low surface gravity in their optical and/or near-infrared spectra. RV measurements are derived...
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{ "baseline_loss": 1.8731178045272827, "char_change_proportion": 0.013986013986013957, "length_change_ratio": 0.023890385291017682, "length_difference": -204, "sentence_change_proportion": 0.02614225153085257, "sentences_changed_count": 1, "sentences_changed_ratio": 0.023255813953488372, "sentences_cons...
--- abstract: 'Counter-rotating vortices in miscible two-component Bose-Einstein condensates, in which superflows counter-rotate between the two components around the overlapped vortex cores, are studied theoretically in a pancake-shaped potential. In a linear stability analysis with the Bogoliubov–de Gennes model, we ...
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{ "baseline_loss": 1.3497461080551147, "char_change_proportion": 0.06510616525965718, "length_change_ratio": 0.0681986656782802, "length_difference": -552, "sentence_change_proportion": 0.11084846976859915, "sentences_changed_count": 6, "sentences_changed_ratio": 0.11764705882352941, "sentences_consider...
--- abstract: 'Intriguing parallels between density fluctuation power versus wavenumber on small (mm) and large (Mpc) scales are presented. The comparative study is carried out between fusion plasma measurements and cosmological data. Based on predictions from classical fluid turbulence theory, we argue that our observ...
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{ "baseline_loss": 1.538187861442566, "char_change_proportion": 0.02087132725430596, "length_change_ratio": 0.018072289156626505, "length_difference": -135, "sentence_change_proportion": 0.027503048367429887, "sentences_changed_count": 7, "sentences_changed_ratio": 0.09333333333333334, "sentences_consid...
--- abstract: 'In the scheme of a quantum nondemolition (QND) measurement, an observable is measured without perturbing its evolution. In the context of studies of decoherence in quantum computing, we examine the ‘open’ quantum system of a two-level atom, or equivalently, a spin-1/2 system, in interaction with quantum ...
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{ "baseline_loss": 1.8745038509368896, "char_change_proportion": 0.04231649544898064, "length_change_ratio": 0.03318676716917923, "length_difference": -317, "sentence_change_proportion": 0.05171687381504108, "sentences_changed_count": 4, "sentences_changed_ratio": 0.0784313725490196, "sentences_consider...
--- author: - | (for HotQCD Collaboration)[^1]\ Physics Department, Brookhaven National Laboratory, Upton, NY 11973 title: 'Chiral transition temperature and aspects of deconfinement in [2+1]{} flavor QCD with the HISQ/tree action' --- Introduction {#sec: intro} ============ In these proceedings we follow up ...
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{ "baseline_loss": 1.5207023620605469, "char_change_proportion": 0.017985873443530198, "length_change_ratio": 0.013452914798206279, "length_difference": -93, "sentence_change_proportion": 0.024766899766899768, "sentences_changed_count": 4, "sentences_changed_ratio": 0.0851063829787234, "sentences_consid...
--- address: | Institute of Theoretical Physics, University of Z[ü]{}rich, Winterthurestrasse 190, 8057 Z[ü]{}rich, Switzerland\ E-mail: novati@physik.unizh.ch author: - 'S. Calchi Novati[^1]\' title: | Microlensing towards M31:\ candidates and perspectives --- Introduction ============ Since Paczyńsk...
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{ "baseline_loss": 2.135063886642456, "char_change_proportion": 0.0037334540106347402, "length_change_ratio": 0.003613777526821005, "length_difference": -32, "sentence_change_proportion": 0.0020480145636591193, "sentences_changed_count": 1, "sentences_changed_ratio": 0.0196078431372549, "sentences_consi...
--- author: - 'Massimo Meneghetti, Rodolfo Argazzi, Francesco Pace, Lauro Moscardini, Klaus Dolag, Matthias Bartelmann, Guoliang Li, Masamune Oguri' bibliography: - '../TeXMacro/master.bib' date: '*Astronomy & Astrophysics, submitted*' title: 'Arc sensitivity to cluster ellipticity, asymmetries and substructures' --- ...
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{ "baseline_loss": 1.6365464925765991, "char_change_proportion": 0.03203647776396046, "length_change_ratio": 0.031359291210072276, "length_difference": -269, "sentence_change_proportion": 0.04757988721804511, "sentences_changed_count": 5, "sentences_changed_ratio": 0.09090909090909091, "sentences_consid...
--- abstract: 'Under certain conditions, it takes a shorter time to cool a hot system than to cool the same system initiated at a lower temperature. This phenomenon – the “Mpemba Effect” – is well known in water, and has recently been observed in other systems as well. However, there is no single generic mechanism that...
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{ "baseline_loss": 1.7971713542938232, "char_change_proportion": 0.2993523894595802, "length_change_ratio": 0.029916410030796304, "length_difference": -272, "sentence_change_proportion": 0.04049256711781673, "sentences_changed_count": 7, "sentences_changed_ratio": 0.09859154929577464, "sentences_conside...
--- abstract: 'These lecture notes provide an introduction to mm/submm extragalactic astronomy, focused on AGN studies, with the final goal of preparing students to their future exploitation of the ALMA capabilities. I first provide an overview of the current results obtained through mm/submm observations of galaxies a...
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{ "baseline_loss": 1.7575507164001465, "char_change_proportion": 0.10784804494132039, "length_change_ratio": 0.08469159475870885, "length_difference": -795, "sentence_change_proportion": 0.11889687734735487, "sentences_changed_count": 7, "sentences_changed_ratio": 0.1111111111111111, "sentences_consider...
--- abstract: '$^7$Li and $^1$H NMR and magnetization measurements in [Li$_{0.5}$MnPc]{} (Pc$\equiv$C$_{32}$H$_{16}$N$_8$), recently proposed as a strongly correlated metal, are presented. Two spins. The second one, measured by $<unk> evidenced. The first one, probed by $^1$H nuclei gives rise to a slowly relaxing magn...
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{ "baseline_loss": 1.7264447212219238, "char_change_proportion": 0.04518236254763197, "length_change_ratio": 0.04851274787535411, "length_difference": -411, "sentence_change_proportion": 0.06972040452111838, "sentences_changed_count": 7, "sentences_changed_ratio": 0.11290322580645161, "sentences_conside...
--- abstract: | The solves a step of the widely used layer-based approach to automatically draw directed acyclic graphs. To asymmetric graphs are<extra_id_1> solve this step, the<extra_id_2> solve the step we use<extra_id_3> allow<extra_id_4> automatically draw directed determined. Here we present the , which solve...
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{ "baseline_loss": 1.9329057931900024, "char_change_proportion": 0.06863097376931371, "length_change_ratio": 0.07315947380567736, "length_difference": -634, "sentence_change_proportion": 0.10461718293395675, "sentences_changed_count": 6, "sentences_changed_ratio": 0.08450704225352113, "sentences_conside...
--- abstract: 'We define a class of insulators with gapless surface states protected from localization due to the statistical properties of a disordered ensemble, namely due to the ensemble’s invariance under a certain symmetry. We show that these insulators are topological, and are protected by a $\mathbb{Z}_2$ invari...
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{ "baseline_loss": 1.5230668783187866, "char_change_proportion": 0.0017313599553197, "length_change_ratio": 0.00033504578959124413, "length_difference": -3, "sentence_change_proportion": 0.00146182390644327, "sentences_changed_count": 1, "sentences_changed_ratio": 0.01694915254237288, "sentences_conside...
--- abstract: 'Las ciudades inteligentes (o *smart cities*) constituyen una tendencia en alza en muchas ciudades de Argentina. En particular, las denominadas ciudades intermedias presentan un contexto y requerimientos diferentes a los de las grandes ciudades respecto a ciudades inteligentes. Un aspecto de relevancia es...
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{ "baseline_loss": 1.7209676504135132, "char_change_proportion": 0.0011683045838773998, "length_change_ratio": 0.0006870019236053861, "length_difference": -5, "sentence_change_proportion": 0, "sentences_changed_count": 0, "sentences_changed_ratio": 0, "sentences_considered": 0, "sentences_perturbed": ...
--- abstract: 'The standard quantum error correction protocols use projective measurements to extract the error syndromes from the encoded states. We consider the more general scenario of weak measurements, where only partial information about the error syndrome can be extracted from the encoded state. We construct a f...
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{ "baseline_loss": 1.7666385173797607, "char_change_proportion": 0.03615137330099827, "length_change_ratio": 0.043151969981238276, "length_difference": -391, "sentence_change_proportion": 0.06714095153401511, "sentences_changed_count": 6, "sentences_changed_ratio": 0.10344827586206896, "sentences_consid...
--- abstract: 'We study the effect of algebraically localized impurities on striped phases in one space-dimension. We therefore develop a functional-analytic framework which allows us to cast the perturbation problem as a regular Fredholm problem despite the presence of essential spectrum, caused by the soft translatio...
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{ "baseline_loss": 1.6683000326156616, "char_change_proportion": 0.08313793796476188, "length_change_ratio": 0.1387780548628429, "length_difference": -1113, "sentence_change_proportion": 0.15722166499498497, "sentences_changed_count": 5, "sentences_changed_ratio": 0.1282051282051282, "sentences_consider...
--- abstract: 'This note extends the invariant of metric spaces under bornologous equivalences defined in [@MMS] to the coarse category.' address: - 'Saint Francis University, Loretto, PA 15940' - 'Saint Francis University, Loretto, PA 15940' - 'Saint Francis University, Loretto, PA 15940' author: - 'A. Fox' - 'B. LaBu...
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{ "baseline_loss": 1.0061192512512207, "char_change_proportion": 0.06229025128918719, "length_change_ratio": 0.06967925422657607, "length_difference": -441, "sentence_change_proportion": 0.11127121357668908, "sentences_changed_count": 9, "sentences_changed_ratio": 0.13432835820895522, "sentences_conside...
--- abstract: '@Tempelmeier2007 considers the problem of computing replenishment cycle policy parameters under non-stationary stochastic demand and service level constraints. He analyses two possible service level measures: the minimum no stock-out probability per period ($\alpha$-service level) and the so called “fill...
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{ "baseline_loss": 1.4263839721679688, "char_change_proportion": 0.08059986855469914, "length_change_ratio": 0.07598574548798713, "length_difference": -661, "sentence_change_proportion": 0.10466057592228518, "sentences_changed_count": 6, "sentences_changed_ratio": 0.12244897959183673, "sentences_conside...
--- author: - 'I. Platais' – 'C. Melo' - 'J.-C. Mermilliod' - 'V. Kozhurina-Platais' - 'J. P. Fulbright' - 'R. A. Méndez' - 'M. Altmann' - 'J. Sperauskas' - A Case Study. XXVI. Improved kinematic membership and spectroscopy of IC 2391 [^1] [^2] ' --- Introduction ============ IC 2391 is a young ($\sim$35 Myr) and nea...
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{ "baseline_loss": 1.9415953159332275, "char_change_proportion": 0.20306760327382867, "length_change_ratio": 0.08809758501724987, "length_difference": -715, "sentence_change_proportion": 0.12170561909497762, "sentences_changed_count": 9, "sentences_changed_ratio": 0.140625, "sentences_considered": 9, ...
--- abstract: 'The theory of magnetized induced scattering off relativistic gyrating particles is developed. It is directly applicable to the magnetosphere of a pulsar, in which case the particles acquire gyration energies as a result of resonant absorption of radio emission. In the course of the radio beam scattering ...
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{ "baseline_loss": 1.9049971103668213, "char_change_proportion": 0.046914117775117004, "length_change_ratio": 0.07481139983235541, "length_difference": -714, "sentence_change_proportion": 0.08623601435507705, "sentences_changed_count": 4, "sentences_changed_ratio": 0.0625, "sentences_considered": 4, "...
--- abstract: 'The proton-proton fusion rate is calculated at low energy in a lattice effective field theory (EFT) formulation. The strong and the Coulomb interactions are treated non-perturbatively at leading order in the EFT. The lattice results are shown to accurately describe the low energy cross section within the...
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{ "baseline_loss": 1.6648554801940918, "char_change_proportion": 0.0619073503654044, "length_change_ratio": 0.08611721188301931, "length_difference": -745, "sentence_change_proportion": 0.11958041958041958, "sentences_changed_count": 7, "sentences_changed_ratio": 0.10606060606060606, "sentences_consider...
--- abstract: 'The equation of state (EOS) of the osmotic pressure for linear-polymer solutions in good solvents is universally described by a scaling function. We experimentally measured the osmotic pressure of the gelation process via osmotic deswelling. It is found that the same scaling function for linear-polymer s...
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{ "baseline_loss": 1.4473451375961304, "char_change_proportion": 0.033315493711533306, "length_change_ratio": 0.050345637146211035, "length_difference": -386, "sentence_change_proportion": 0.0695264331627968, "sentences_changed_count": 3, "sentences_changed_ratio": 0.07142857142857142, "sentences_consid...
--- abstract: 'The neutron long counter NERO was built at the National Superconducting Cyclotron Laboratory (NSCL), Michigan State University, for measuring $\beta$-delayed neutron-emission probabilities. The detector was designed to work in conjunction with a $\beta$-decay implantation station, so that $\beta$ decays ...
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{ "baseline_loss": 1.6907150745391846, "char_change_proportion": 0.21216811525181567, "length_change_ratio": 0.009330143540669857, "length_difference": 78, "sentence_change_proportion": 0.017977799227799227, "sentences_changed_count": 10, "sentences_changed_ratio": 0.14705882352941177, "sentences_consid...
--- abstract: 'We show that the group of bounded automatic automorphisms of a rooted tree is amenable, which implies amenability of numerous classes of groups generated by finite automata. The proof is based on reducing the problem to showing amenability just of a certain explicit family of groups (“Mother groups”) whi...
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{ "baseline_loss": 1.3848706483840942, "char_change_proportion": 0.06666666666666665, "length_change_ratio": 0.09288772597526165, "length_difference": -781, "sentence_change_proportion": 0.11670261202971484, "sentences_changed_count": 4, "sentences_changed_ratio": 0.07547169811320754, "sentences_conside...
--- abstract: 'The typical optical-UV continuum slopes observed in many type 1 active galactic nuclei (AGN) are redder than expected from thin accretion disk models. A possible resolution to this conundrum is that many AGN are reddened by dust along the line of sight. To explore this possibility, we stack $5000$ SDSS A...
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{ "baseline_loss": 1.5961819887161255, "char_change_proportion": 0.07144663631765302, "length_change_ratio": 0.11557250089360181, "length_difference": -970, "sentence_change_proportion": 0.13328538894881936, "sentences_changed_count": 4, "sentences_changed_ratio": 0.08888888888888889, "sentences_conside...
--- author: - | [^1]\ Univerzita Mateja Bela, Banská Bystrica, Slovakia\ Faculty of Nuclear Science and Physics Engineering, Czech Technical University in Prague, Prague, Czech Republic\ E-mail: title: The contribution of hard processes to elliptic flow --- Introduction: elliptic flow =================...
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{ "baseline_loss": 1.9183599948883057, "char_change_proportion": 0.018167411851264914, "length_change_ratio": 0.014049679667303586, "length_difference": -125, "sentence_change_proportion": 0.021438294010889293, "sentences_changed_count": 3, "sentences_changed_ratio": 0.04225352112676056, "sentences_cons...
--- abstract: 'Let $f=(f_1,\ldots,f_n)$ be a system of $n$ complex homogeneous polynomials in $n$ variables of degree $d\geq 2$. We call $(\zeta,\eta)\in {\mathbb{P}}^n\backslash{\left\{[0:1]\right\}}$ an *h-eigenpair* of $f$ if $f(\zeta)=\eta^{d-1} \zeta$. We describe a randomized algorithm to compute approximations o...
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{ "baseline_loss": 1.3475918769836426, "char_change_proportion": 0.18353958550767857, "length_change_ratio": 0.14979310344827587, "length_difference": -1086, "sentence_change_proportion": 0.18048984135819648, "sentences_changed_count": 6, "sentences_changed_ratio": 0.1111111111111111, "sentences_conside...
--- abstract: 'Solutions of partial differential equations (PDEs) on manifolds have provided important applications in different fields in science and engineering. Existing methods are majorly based on discretization of manifolds as implicit functions, triangle meshes, or point clouds, where the manifold structure is a...
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{ "baseline_loss": 1.8709245920181274, "char_change_proportion": 0.024565362326273155, "length_change_ratio": 0.03832997987927565, "length_difference": -381, "sentence_change_proportion": 0.04372027122760854, "sentences_changed_count": 2, "sentences_changed_ratio": 0.038461538461538464, "sentences_consi...
--- abstract: 'In this work we introduce the Multi-Index Stochastic Collocation method (MISC) for computing statistics of the solution of a PDE with random data. MISC is a combination technique based on mixed differences of spatial approximations and quadratures over the space of random data. We propose an optimization...
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{ "baseline_loss": 1.6645649671554565, "char_change_proportion": 0.11477596556114711, "length_change_ratio": 0.09175054957769294, "length_difference": -793, "sentence_change_proportion": 0.10400929692039512, "sentences_changed_count": 4, "sentences_changed_ratio": 0.11428571428571428, "sentences_conside...
--- abstract: | In [@Esnault-Viehweg82], Esnault-Viehweg developed the theory of cyclic branched coverings $\tilde X\to X$ of smooth surfaces providing a very explicit formula for the decomposition of $H^1(\tilde X,\CC)$ in terms of a resolution of the ramification locus. Later, in [@Artal94] the first author appli...
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{ "baseline_loss": 1.5314280986785889, "char_change_proportion": 0.02513236378258832, "length_change_ratio": 0.044686148604376884, "length_difference": -341, "sentence_change_proportion": 0.04500461924244424, "sentences_changed_count": 1, "sentences_changed_ratio": 0.027777777777777776, "sentences_consi...
--- abstract: 'We study the ground state properties of a trapped Bose condensate with a neutral impurity. By varying the strength of the attractive atom-impurity interactions the degree of localization of the impurity at the trap center can be controlled. As the impurity becomes more strongly localized the peak condens...
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{ "baseline_loss": 1.3435660600662231, "char_change_proportion": 0.019394175261075453, "length_change_ratio": 0.03002811142346026, "length_difference": -235, "sentence_change_proportion": 0.03680350019302535, "sentences_changed_count": 4, "sentences_changed_ratio": 0.07272727272727272, "sentences_consid...
--- abstract: 'Owing to its numerical simplicity, a two-dimensional two-electron model atom, with each electron moving in one direction, is an ideal system to study non-perturbatively a fully correlated atom exposed to a laser field. Frequently made assumptions, such as the “single active electron”-approach and calcula...
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{ "baseline_loss": 2.0060079097747803, "char_change_proportion": 0.0060703241324018276, "length_change_ratio": 0.0009166953133952103, "length_difference": 8, "sentence_change_proportion": 0.006465766077820113, "sentences_changed_count": 1, "sentences_changed_ratio": 0.016129032258064516, "sentences_cons...
--- abstract: 'Associating distinct groups of objects (clusters) with contiguous regions of high probability density (high-density clusters), is central to many statistical and machine learning approaches to the classification of unlabelled data. We propose a novel hyperplane classifier for clustering and semi-supervis...
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{ "baseline_loss": 1.7485467195510864, "char_change_proportion": 0.03961572744379516, "length_change_ratio": 0.02077820248946388, "length_difference": -212, "sentence_change_proportion": 0.04329388560157791, "sentences_changed_count": 3, "sentences_changed_ratio": 0.05263157894736842, "sentences_conside...
--- abstract: | 1. The paper sets up a language to deal with Dirac operators on manifolds with corners of arbitrary codimension. In particular we develop a precise theory of boundary reductions. 7 We introduce the notion of a taming of a Dirac operator as an invertible perturbation by a smoothing operator. Given a ...
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{ "baseline_loss": 1.2950105667114258, "char_change_proportion": 0.12553005317358823, "length_change_ratio": 0.07452047693105236, "length_difference": -575, "sentence_change_proportion": 0.09411919138881596, "sentences_changed_count": 6, "sentences_changed_ratio": 0.1, "sentences_considered": 6, "sent...
--- abstract: 'Given a Riemannian space $N$ of dimension $n$ and a field $D$ of symmetric endomorphisms on $N$, we define the extension $M$ of $N$ by $D$ to be the Riemannian manifold of dimension $n+1$ obtained from $N$ by a construction similar to extending a Lie group by a derivation of its Lie algebra. We find the ...
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{ "baseline_loss": 1.3443831205368042, "char_change_proportion": 0.058724360775498696, "length_change_ratio": 0.09755445676867566, "length_difference": -730, "sentence_change_proportion": 0.10909090909090909, "sentences_changed_count": 4, "sentences_changed_ratio": 0.08695652173913043, "sentences_consid...
--- abstract: 'As a natural generalization of derivations, 2-local derivations of a Lie algebra play an important role to the study of local properties of the structure of the Lie algebra. This paper initiates the study of 2-local derivations of Lie algebras over fields of prime characteristic. Let us think of $p>2$. I...
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{ "baseline_loss": 1.0235661268234253, "char_change_proportion": 0.0447503158454684, "length_change_ratio": 0.026636924288151162, "length_difference": -203, "sentence_change_proportion": 0.03450555261766261, "sentences_changed_count": 5, "sentences_changed_ratio": 0.09803921568627451, "sentences_conside...