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abstract: 'There is evidence that Newton’s and Einstein’s laws of gravity cannot account for the motions observed in a universe composed only 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 ...
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The structural properties of strongly coupled ions in dense plasmas with moderately to strongly degenerate electrons are studied using the one-component plasma model, where ions interact via a screened pair interaction potential Special focus is put on the descriptioParticular attention is given to the treatment of ele...
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A basis set approach is used to determine the eigenvalues and wave functions for an electron confined to a toroidal surface $T^2$ in the presence of a uniform magnetic field of arbitrary orientation ThThe behavior of several low-energy states as a function of magnetic field strength and orientation is presented, and a ...
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Re-identification (re-ID) [@zheng2016personsurvery] is an image retrieval task that aims to find matching individuals of the query from a non-overlapping camera database. The leading approaches have shown remarkable results when trained and evaluated on the same data distribution. However, their performance may drop si...
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MAISE is a free software package for materials modeling and simulation 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 and forces relies...
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We present a method to incorporate nonlocal potentials into the standard Diffusion Monte Carlo approach without relying on 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 presence...
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Sparse superposition codes (SPARCs) are a type of code for reliable communication over the AWGN channel at rates close to the channel capacity In a standard SPARC, codewoIn a standard SPARC, codewords are formed by selecting and summing a small subset of columnsile in a spatially coupled SPARC the design matrix has a b...
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Gallai’s colouring theorem states that if the edges of a complete graph are coloured with three colours, with each colour class forming a connected (spanning) subgraph, then there is a triangle with all three colours What happens for more colours: if we $k$-colour the edges of the complete graph, with each colour class...
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Let $X/S$ be a quasi-projective morphism over an affine base scheme $S=\operatorname{Spec} R$ 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-s...
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abstract: 'In this note, we study when a complex nilmanifold admits a Kähler-like Strominger (also called Bismut), Chern, or Riemannian connection, meaning the curvature tensor of the connection has all the symmetries of a Kähler metric.' We give a classification in the first two cases and a partial description in the ...
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Let $I$ and $J$ be homogeneous ideals in a standard graded polynomial ring over a field $K$We investigate upper bounds for the Hilbert function of the intersection $I \cap g(J)$, where $g$ is a general linear change of coordinates. Our main result gives a generalization of Green’s hyperplane section theorem.' address: ...
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The emerging field of “coded computing” aims to address key challenges in distributed computing—such as stragglers, failures, computational errors, communication bottlenecks, and security—by leveraging redundancy through coding-theoretic techniques. These strategies have been applied to various large-scale distributed ...
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abstract: 'Photonic topological insulators are an attractive photonic platform because of the potential for unidirectional edge states that are robust against bending, fabrication defects, or environmental changes.' Here we show highly efficient one-way photonic edge mode transport enabled by an optical version of the ...
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summary: 'A local solution to the Problem of Time has recently been provided, along with its 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 exte...
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We investigate systems of stochastic differential equations modeling the positions $x_1,x_2,\ldots,x_p$ of $p$ ordered particles, with pairwise repulsion terms 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 with a co...
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abstract: 'Detections of gravitational waves (GWs) have sparked discussions about how GWs travel through 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 pr...
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In this paper, we introduce a new supervised learning algorithm inspired by the Hebbian learning rule as an alternative to backpropagation and gradient descent, aiming to provide a more biologically realistic approach The best performance for the algorithm was achieved when it was run on a feed-forward neural network w...
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We study a fluid-structure interaction problem for an incompressible fluid where the elastic behavior of the free boundary is modeled by a damped Kirchhoff plate equation Utilizing the Newton polygon approach, we first prove maximal regularity in $L^p$-Sobolev spaces for a linearized version. Based on this, we show exi...
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abstract: 'With proton-proton collisions at PHENIX, several direct channels are used to study the proton’s internal structure.'Among the various channels studied at PHENIX, charged pion measurements are anticipated to be sensitive to $\Delta$g and thus contribute to the global analysis constraining it. We present a mea...
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We address the challenge of inferring likely missing facts in relational datasets, given a collection of possibly flawed 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 boun...
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We present a technique for reconstructing the form of the mass power spectrum on large scales from the transmission fluctuations observed in the Lyman-alpha forest, explicitly accounting for redshift-space distortions The procedure, in discretized form, involves the inversion of a triangular matrix which projects the m...
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abstract: 'We use a recently developed method to not only obtain the exactly known eigenstates and eigenvalues of several quasi-exactly solvable Hamiltonians, but also to construct a convergent approximation scheme for finding those levels that cannot be treated analytically.' The fact that, the above method yields an ...
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A key aspect of the vision-and-language navigation (VLN) task is developing strong instruction encodings and action prediction methods that can generalize effectively to new instructions and settings In this paper, we report two simple but highly effective methods to address these challenges and lead to a new state-of-...
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Deep learning researchers often claim that converged models are trapped 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 in weight space, be ...
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Martial MAZARS[^1]\ Laboratoire de Physique Théorique (UMR 8627),\ Université 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 potential for three dimensional syst...
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The standard scenario involves the nucleation (either thermally or quantum mechanically) of a bubble within a uniform false vacuum background. Inside the bubble is the true vacuum, separated from the false vacuum by domain walls, which represent the lowest energy configuration connecting the two vacua The standard pict...
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The increasing adoption of electric vehicles in the coming years, combined with the high expense of upgrading local distribution networks and consumer preference for home charging, indicates that managing congestion on low voltage networks will be a key aspect of the electric vehicle transition and the shift away from ...
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abstract: 'The observation of the resonance $X(3823)$, identified as the charmonium $^3D_2$ state, in the reaction $e^+e^- \to \pi \pi X(3823)$ was recently announced 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 of the...
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A phenomenological QCD quasiparticle model offers a way to relate lattice QCD findings to conditions relevant for various heavy-ion collision experiments at higher baryon densities We report on effects of collectives modes and damping on the equation of state.' author: - | R. Schulze[^1], B. Kämpfer\ \ Fors...
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The approximations are used to compute numerical solutions of the fractional relaxation and subdiffusion equations. While the properties of the weights for order $2-{\alpha}$ resemble those of the $L1$ method, the resulting numerical solution is more accurate for the examples considered in this paper and for many funct...
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abstract: 'Graph representation learning has re-emerged as a popular research area due to the extensive application of deep learning to Euclidean data, which has led to various innovative neural network designs for non-Euclidean domains, especially graphs With the success of these graph neural networks (GNN) in the sta...
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The ad-trading desks of media-buying agencies are increasingly using sophisticated algorithms to purchase advertising inventory In particular, Real-TimSpecifically, Real-Time Bidding (RTB) systems use advanced algorithms to participate in numerous auctions—most often Vickrey or second-price auctions—throughout the day ...
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Stochastic blockmodels have been introduced as a method for identifying community structure in networks and for creating artificial networks to serve as benchmarks Most blockmodels, however, ignore variation in vertex degree, making them unsuitable for applications to real-world networks, which typically display broad ...
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We thank John Collins for many valuable discussions. We also thank Maarten Buffing and Tomas Kasemets for their careful reading of the manuscript. Some calculations were performed using FORM [@Kuipers:2012rf], and the figures were made with JaxoDraw [@Binosi:2003yf] Thanks go to Maarten Buffing and Tomas Kasemets for t...
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abstract: 'Using Ginzburg-Landau theory, we investigate the diverse 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 $\alpha_{{\rm TP}}$. By analyzing the ...
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Let $R$ be a ring spectrum and ${\mathcal{E}}\to X$ an $R$-module bundle of dimension $n$ 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 authors in [@cjg...
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We will provide an overview of the observations of blazars made by the Energetic Gamma Ray Experiment Telescope (EGRET) aboard 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 isotropic l...
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We study the ${\cal N}=1$ superpotential induced in type-II orientifold models by non-geometric fluxes. Specifically, we examine the class of $P$ fluxes, which are connected via T-duality to the S-dual of the $Q$ flux. We establish the general rule for how these fluxes transform under a single T-duality. This enables u...
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abstract: 'In recent years, numerous observational studies have shown that binary systems play a significant role in shaping non-spherical planetary nebulae.' We resummarize the various studies that provide direct or indirect evidence for binary companions during the Asymptotic Giant Branch, proto-Planetary Nebula, and...
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We investigate a two-dimensional tight-binding lattice for excitons with on-site disorder, coupled to a thermal bath 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 the system is tr...
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Massive multiple-input multiple-output (MIMO) systems provide high sum spectral efficiency by delivering a significant 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 causes downlink inter-c...
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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 $(1-\frac{r-2}{r^2-r})n-2$ so that the largest monochromatic component has size less than $\frac{n}{r-1}$.' This generalizes an example...
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In quark models, hybrid mesons are typically described either as two-body $q\bar q$ systems with an excited string (flux tube) connecting the quark and antiquark, or as three-body $q\bar q g$ systems that include a constituent gluon In this work we show that, starting from the three-body wave function of the $q\bar q g...
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The impact of delayed feedback terms on nonlinear oscillators has been widely investigated, and they play significant roles in various scientific and engineering disciplines We study a particular class of second-order delay-differential equations near a point of triple-zero nilpotent bifurcation. Using ceBy applying ce...
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--- 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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introduced environmental effects into a QW using computational or physical models like pure dephasing [@Rebentrost09a], but have not addressed walks where environmental effects are defined axiomatically by the graph Using an axiomatic approach, we specify the rules for all possible quantum, classical and quantum-stocha...
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Led by a moderator, non-experts and students are invited to take on the roles of quantum particles and act out a quantum cryptography protocol The pThe performance is inspired by a generalized urn model that can demonstrate complementarity even using classical chocolate ballsor: - Karl Svozil title: 'Staging quantum cr...
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abstract: 'The integration-by-parts formula introduced by Malliavin for the Itô map on Wiener space is established using 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 semimarti...
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Missing data are a frequent issue in cluster randomised trials, which can result in biased and inefficient estimates if not addressed or managed properly Two approaches for analysing such trials are cluster-level analysis and individual-level analysis. In this study, we assessed the performance of unadjusted cluster-le...
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Collisional deexcitation rate coefficients are essential M. Walker' - 'R. C. Forrey' - '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. ...
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--- 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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Stochastic processes with boundary reflection of Stochastic Processes, 3 Tereschenkovskaya Str., 01601 Kiev-4, UKRAINE. ( apilip@imath.kiev.ua)]{} [**Summary:** Some topological properties of stochastic flow $\varphi_t(apilip@imath.kiev.uavalued process $\mu\circ\varphi_t^{-1}$, where $\mu\ll\lambda^d,$ is studied. ]{...
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Institute for Theoretical Physics, University of Stuttgart 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 models are b...
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We report a computational investigation of the layered copper oxychloride (CuCl)LaNb$_2$O$_7$, recently identified as a spin-1/2 frustrated square lattice material Our results evidence an orbitally degenerate ground state for the reported tetragonal crystal structure and reveal a Jahn-Teller-type structural distortion....
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In this study, we present a method for analyzing lightning using color analysis techniques We analyzed thWe examined the digital still images displaying cloud-to-ground (CG) and intracloud (IC) lightning flashes digital image processing techniques, we extracted lightning channels. Then, the correlated color temperature...
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Effective interactions, either obtained from microscopic theories or constructed by fitting selected properties of nuclei in certain mass regions, are widely used as inputs for shell-model calculations of nuclei The commonly used unperturbed basis functions are given by the harmonic oscillator. Until recently, most she...
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We address the ‘cuspy-core’ problem by modifying the geodesic equations of motion with 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 made, and $\sigma_8$ is calculated t...
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We propose a method for classification problems involving large datasets 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 interprete...
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abstract: 'For each $n$ we construct 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' title: 'Lower bo...
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In anticipation of the July 2015 flyby of the Pluto system by NASA’s New Horizons mission, we suggest naming conventions and sample names for surface features on Pluto and its moons (Charon, Nix, Hydra, Kerberos, Styx) and names for newly found moons author: - | Eric E. Mamajek$^Eric E. Mamajek$^{1}$, Valerie A. Ra...
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We investigate low-temperature magnetization behavior in a stacked triangular Ising antiferromagnet using 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 splitting o...
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abstract: 'The lack of galaxies in the Local Void has been proposed as a significant problem for the current standard model of structure formation in $\Lambda$CDM.'We utilize a high resolution cosmological N-body simulation, the Millennium-II run, together with an advanced semi-analytic galaxy formation model, to stati...
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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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We present new radial velocity (RV) data for 11 candidate young very-low-mass stars and brown dwarfs, with spectral types ranging 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 from high resol...
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Abstract: "Counter-rotating vortices in miscible two-component Bose-Einstein condensates, where superflows move in opposite directions between the two components around the shared vortex cores, are investigated theoretically in a pancake-shaped trap." In a linear stability analysis with the Bogoliubov–de Gennes model, ...
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We present interesting similarities between density fluctuation power as a function of wavenumber on both small (mm) and large (Mpc) scales 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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abstract: 'In the scheme of a quantum nondemolition (QND) measurement, an observable is measured without disturbing its free 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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In these proceedings we continue the work on 2+1 flavor QCD thermodynamics with improved staggered fermions by the HotQCD collaboration. The simulation setup and some initial results have been discussed previously, e.g. [@Jamaica; @lat10; @soeldner_lat10; @prasad_panic11], and the continuum extrapolation for chiral $T_...
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has been shown to be a powerful tool for detecting the dark matter component in galactic halos in the form of MACHOs Calchi Novati[^1]\' title: | Microlensing towards M31:\ candidates and perspectives --- Introduction ============ Since Paczyński’s original proposal[@pacz] gravitational microlensing has been ...
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study of the internal structure of galaxy clusters, as understanding these aspects is crucial for interpreting strong lensing observations and for testing theoretical models of dark matter distribution. Addressing these questions can help clarify the role of cluster morphology in lensing phenomena and improve the accur...
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abstract: 'Under certain conditions, a hot system can cool faster than an identical system started at a lower temperature.' This phenomenon – the “Mpemba Effect” – is well known in water, and has recently been observed in other systems as well. However, there is no singHowever, there is no single universal explanation ...
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abstract: 'These lecture notes provide an introduction to mm/submm extragalactic astronomy, focused on AGN studies, with the main aim of preparing students for their future use of ALMA’s capabilities.' I first provide an overview of the current results obtained through mm/submm observations of galaxies and AGNs, both l...
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$^7$Li and $^1$H NMR and magnetization data for [Li$_{0.5}$MnPc]{} (Pc$\equiv$C$_{32}$H$_{16}$N$_8$), recently identified as a strongly correlated metal, are reported Two different low-frequency dynamics are evidenced. The first one, probed by $^1$H nuclei gives rise to a slowly relaxing magnetization at low temperatur...
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The first phase, cycle removal, aims to solve the feedback arc set problem To cater for cyclic graphs, usually a preprocessing step is used that solves the to make the graph acyclic before a layering is determined. Here we present the , which solves the combination of and simultaneously, allowing general graphs as...
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abstract: 'We introduce a category of insulators with gapless surface states that are protected from localization because of the statistical characteristics of a disordered ensemble, specifically due to the ensemble’s invariance under a particular symmetry.' We show that these insulators are topological, and are protec...
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Resumen: Las ciudades inteligentes (o *smart cities*) representan una tendencia creciente 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 el f...
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The standard quantum error correction protocols use strong 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 feedbWe develop a fee...
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We investigate how algebraically localized impurities influence striped phases in one spatial 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 translational mode. O...
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This note generalizes 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. LaBuz' - 'R. Lask...
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abstract: '@Tempelmeier2007 examines the task of determining 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 rate”,...
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main author list Platais' - 'C. MC. MeloKozhurina-Platais' - 'J. P. Fulbright' - 'R. A. Méndez' - 'M. Altmann' - 'J. Sperauskas' bibliography: - '5756bib.bib' date: 'Received 2 June 2006/ Accepted 21 August 2006' title: 'WIYN Open Cluster Study. XXVI. Improved kinematic membership and spectroscopy of IC 2391 [^1] [^2] ...
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abstract: 'The theory of magnetized induced scattering by relativistic gyrating particles is presented 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 theprocess of the radio beam being scattered i...
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abstract: 'The proton-proton fusion rate is computed at low energy using a lattice effective field theory (EFT) approach.' 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 vali...
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abstract: 'The equation of state (EOS) for the osmotic pressure of linear polymer solutions in good solvents is generally characterized by a universal 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-...
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abstract: 'The neutron long counter NERO was constructed at the National Superconducting Cyclotron Laboratory (NSCL), Michigan State University, for determining $\beta$-delayed neutron-emission probabilities.' The detector was designed to work in conjunction with a $\beta$-decay implantation station, so that $\beta$ de...
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We prove that the group of bounded automorphisms of a rooted tree generated by finite automata is amenable, which implies amenability for many classes of groups defined by automata The proof is based on reducing the problem to showing amenability just of a certain explicit family of groups (“Mother groups”) which is do...
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The typical optical-UV continuum slopes seen in many type 1 active galactic nuclei (AGN) are redder than predicted by standard 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 AGN with lumi...
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Elliptic flow refers to an azimuthal anisotropy in hadron production observed in non-central relativistic heavy ion collisions. The term comes from the typical explanation: the hot, dense matter created in these collisions expands more rapidly along the direction of the impact parameter due to pressure gradients, resul...
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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 raWe present a randomized algorithm for approximating h-eigenpai...
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abstract: 'Partial differential equations (PDEs) on manifolds have found significant applications across various areas 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 approximated by e...
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this optimization is an essential step and enables us to develop a method that, assuming sufficient solution regularity, can be more efficient than other existing multi-level collocation methods MISC is a combination technique based on mixed differences of spatial approximations and quadratures over the space of random...
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Later, in [@Artal94], the first author applies this to the specific case of coverings of $\PP^2$, reducing the problem to a combination of global and local conditions on projective curves Later, in [@Artal94] the first author applies this to the particular case of coverings of $\PP^2$ reducing the problem to a combinat...
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We investigate the ground state characteristics of a trapped Bose condensate containing 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 conden...
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Due to its computational simplicity, a two-dimensional two-electron model atom, where each electron moves along a single axis, serves as an excellent system for non-perturbative studies of fully correlated atoms in laser fields Frequently made assumptions, such as the “single active electron”-approach and calculational...
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abstract: 'Grouping different sets of objects (clusters) with connected areas of high probability density (high-density clusters) is fundamental to many statistical and machine learning methods for classifying unlabeled data.' We propose a novel hyperplane classifier for clustering and semi-supervised classification wh...
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main subject classification: 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. 2. We introduce the notion of a taming of a Dirac operator as an invertible perturbation by a smoothing oper...
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abstract: 'Given a Riemannian manifold $N$ 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 process similar to extending a Lie group by a derivation of its Lie algebra.' We find the condi...
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Abstract: "As a natural extension of derivations, 2-local derivations of a Lie algebra play an important role in 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 $\ggg$ be a Jacobson-Witt al...
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