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a successful robot - assisted feeding system requires bite acquisition of a wide variety of food items. it must adapt to changing user food preferences under uncertain visual and physical environments. different food items in different environmental conditions require different manipulation strategies for successful bi...
arxiv:1908.07088
we propose two one - pass streaming algorithms for the np - hard hypergraph matching problem. the first algorithm stores a small subset of potential matching edges in a stack using dual variables to select edges. it has an approximation guarantee of $ \ frac { 1 } { d ( 1 + \ varepsilon ) } $ and requires $ o ( ( n / \...
arxiv:2502.13636
we report numerical results on the diagonalization of 1d transverse field ising model. numerical simulations using the pauli product representation yield diagonalization from 3 spins to 22 spins in the transverse field ising model with the number of global jacobi unitary transformations and number of final terms in dia...
arxiv:1905.11891
the physical significance of tidal deformation in astronomical systems has long been known. the recently discovered universal i - love - q relations, which connect moment of inertia, quadrupole tidal love number, and spin - induced quadrupole moment of compact stars, also underscore the special role of tidal deformatio...
arxiv:1709.02469
we obtain n = 1 su ( n ) ^ k gauge theories with bifundamental matter and a quartic superpotential as the low energy theory on d3 - branes at singular points. these theories generalize that on d3 - branes at a conifold point, studied recently by klebanov and witten. for k = 3 the defining equation of the singular point...
arxiv:hep-th/9812025
in this paper, a novel generation - evaluation framework is developed for multi - turn conversations with the objective of letting both participants know more about each other. for the sake of rational knowledge utilization and coherent conversation flow, a dialogue strategy which controls knowledge selection is instan...
arxiv:1906.00549
the abbott - deser mass, the hamiltonian and the komar mass of the 5 - dimensional kaluza - klein black hole with squashed horizons take different values. introducing a new couple of thermodynamic variables for the komar mass, we show that each mass can be interpreted as a thermodynamic potential with its own natural v...
arxiv:0705.0307
recently, sampling methods have been successfully applied to enhance the sample quality of generative adversarial networks ( gans ). however, in practice, they typically have poor sample efficiency because of the independent proposal sampling from the generator. in this work, we propose rep - gan, a novel sampling meth...
arxiv:2107.00352
we use the blanchfield - duval form to define complete invariants for the cobordism group c _ { 2q - 1 } ( f _ \ mu ) of ( 2q - 1 ) - dimensional \ mu - component boundary links ( for q \ geq2 ). the author solved the same problem in math. at / 0110249 via seifert forms. although seifert forms are convenient in explici...
arxiv:math/0404229
explainable machine learning offers the potential to provide stakeholders with insights into model behavior by using various methods such as feature importance scores, counterfactual explanations, or influential training data. yet there is little understanding of how organizations use these methods in practice. this st...
arxiv:1909.06342
motivated by the recent experimental data, we have revisited the $ b \ to \ pi k, \ pi \ pi $ decays in the framework of qcd factorization, with inclusion of the important strong penguin corrections of order $ \ alpha _ s ^ 2 $ induced by $ b \ to d g ^ \ ast g ^ \ ast $ ( $ d = d $ or $ s $ and $ g ^ \ ast $ denotes a...
arxiv:hep-ph/0508079
atomic interferometer has two quantum unitary gates that must be realized for quantum sensing purposes from atomic gravimeter and atomic interferometer gyroscope. an optimal cost function which define the distance between two unitary operator is defines and based on it a pulse based stochastic gradient descent algorith...
arxiv:2112.13344
we present late - time observations of the site of the type ibn supernova ( sn ) 2006jc acquired with the hubble space telescope advanced camera for surveys. a faint blue source is recovered at the sn position with brightness $ m _ { f435w } = 26. 76 \ pm0. 20 $, $ m _ { f555w } = 26. 60 \ pm0. 23 $ and $ m _ { f625w }...
arxiv:1609.07739
the discovery of neutrino oscillation, proving that neutrinos do have masses, reveals the misfits of particles in the current standard model ( sm ) theory. in theory, neutrinos having masses could result in lepton flavour not being a symmetry called lepton flavour violation ( lfv ). while sm theory extensions allowed l...
arxiv:2205.14828
we derive a lower limit to the amount of absorptive loss present in passive linear optical devices such as a beam splitter. we choose a particularly simple beam splitter geometry, a single planar slab surrounded by vacuum, which already reveals the important features of the theory. it is shown that, using general causa...
arxiv:quant-ph/0508189
in statistical learning theory, generalization error is used to quantify the degree to which a supervised machine learning algorithm may overfit to training data. recent work [ xu and raginsky ( 2017 ) ] has established a bound on the generalization error of empirical risk minimization based on the mutual information $...
arxiv:1801.04295
crowdsourcing and data mining can be used to effectively reduce the effort associated with the partial replication and enhancement of qualitative studies. for example, in a primary study, other researchers explored factors influencing the fate of github pull requests using an extensive qualitative analysis of 20 pull r...
arxiv:1902.04060
using the adaptive time - dependent density matrix renormalization group method, we numerically study the spin dynamics and transport in one - dimensional spin - 1 / 2 systems at zero temperature. instead of computing transport coefficients from linear response theory, we study the real - time evolution of the magnetiz...
arxiv:0812.4252
experimental vibrational spectra ( raman and infrared absorption ) of berberine are obtained at room temperature. the vibrational spectra of berberine are calculated by the dft method at the b3lyp / 6 - 311 + + g ( d, p ) level. based on the correlation between experimental and calculated data, the vibrational spectrum...
arxiv:1103.4290
this paper introduces a novel human pose estimation approach using sparse inertial sensors, addressing the shortcomings of previous methods reliant on synthetic data. it leverages a diverse array of real inertial motion capture data from different skeleton formats to improve motion diversity and model generalization. t...
arxiv:2312.02196
we prove a necessary condition for a dynamic integro - differential equation to be an euler - lagrange equation. new and interesting results for the discrete and quantum calculus are obtained as particular cases. an example of a second order dynamic equation, which is not an euler - lagrange equation on an arbitrary ti...
arxiv:1403.3252
hickson compact groups ( hcgs ) offer an ideal environment for investigating galaxy transformation as a result of interactions. it has been established that the evolutionary sequence of hcgs is marked by an intermediate stage characterised by a substantial amount of hi in their intragroup medium ( igrm ) in the form of...
arxiv:2503.05999
we introduce the concept of berry ' s phase in josephson junctions and consider how this geometric phase arises due to applied oscillating electric fields. the electromagnetic field excites topological quasi - particles from the junction vacuum which affect cooper - pair tunneling across the josephson junction barrier....
arxiv:1909.00778
light cone hadron wave functions support fock states of arbitrarily high particle number : their heavy quark content arises naturally through qcd interactions. we discuss what role c \ bar c pairs, intrinsic to a hadron ' s structure, can play in b - meson decays. the effects can be prominent in hadronic decays for whi...
arxiv:hep-ph/0209080
the observed multi - gev gamma - ray emission from the solar disk - - - sourced by hadronic cosmic rays interacting with gas, and affected by complex magnetic fields - - - is not understood. utilizing an improved analysis of the fermi - lat data that includes the first resolved imaging of the disk, we find strong evide...
arxiv:1803.05436
in this paper, we present an exact formula for the phonon linewidths involving only dressed electron - phonon couplings and ensuring the positivity property. the formula is designed to account for both nonadiabatic and correlation effects, and it provides an alternative proof that density functional perturbation theory...
arxiv:2407.12285
we give a geometric criterion that guaranteesa purely singular spectral type for a dynamical system on a riemannian manifold. the criterion, that is based on the existence of fairly rich but localized periodic approximations, is compatible with mixing. indeed, we use it to construct examples of smooth mixing flows on t...
arxiv:math/0412172
accessible machine learning algorithms, software, and diagnostic tools for energy - efficient devices and systems are extremely valuable across a broad range of application domains. in scientific domains, real - time near - sensor processing can drastically improve experimental design and accelerate scientific discover...
arxiv:2103.05579
this paper investigates the theory of robustness against adversarial attacks. it focuses on the family of randomization techniques that consist in injecting noise in the network at inference time. these techniques have proven effective in many contexts, but lack theoretical arguments. we close this gap by presenting a ...
arxiv:1902.01148
in this note we prove a large deviation bound on the sum of random variables with the following dependency structure : there is a dependency graph $ g $ with a bounded chromatic number, in which each vertex represents a random variable. variables that are represented by neighboring vertices may be arbitrarily dependent...
arxiv:0706.1637
given an orthogonal array we analyze the aberrations of the sub - fractions which are obtained by the deletion of some of its points. we provide formulae to compute the generalized word - length pattern of any sub - fraction. in the case of the deletion of one single point, we provide a simple methodology to find which...
arxiv:1809.03759
with the increasing popularity of electric vehicles, distributed energy generation and storage facilities in smart grid systems, an efficient demand - side management ( dsm ) is urgent for energy savings and peak loads reduction. traditional dsm works focusing on optimizing the energy activities for a single household ...
arxiv:2005.10000
in the age of multi - messenger astrophysics, low - latency parameter estimation of gravitational - wave signals is essential for electromagnetic follow - up observations. in this paper, we present a new edition of the bayesian parameter estimation scheme for compact binaries known as rapid pe. rapid pe parallelizes pa...
arxiv:2201.05263
whereas the tools to determine the eigenvalues of the eight - vertex transfer matrix t are well known there has been until recently incomplete knowledge about the eigenvectors of t. we describe the construction of eigenvectors of t corresponding to degenerate eigenvalues and discuss the related hidden elliptic symmetry...
arxiv:cond-mat/0612699
we simulate quantum chromodynamics in four euclidean dimensions with two ( degenerate mass ) flavors of dynamical quarks. the dirac operator is the so - called chirally improved operator that has been studied so far in quenched calculations. we now present results of an implementation with the hybrid monte carlo ( hmc ...
arxiv:hep-lat/0509005
we combine stellar mass functions and the recent first jwst - based galaxy - - black hole scaling relations at $ z = 6 $ to for the first time compute the supermassive black hole ( smbh ) mass volume density at this epoch, and compare this to the integrated smbh mass growth from the population of uv - luminous quasars ...
arxiv:2411.03184
oregon health & science university ( ohsu ) is a public research university focusing primarily on health sciences with a main campus, including two hospitals, in portland, oregon. the institution was founded in 1887 as the university of oregon medical department and later became the university of oregon medical school....
https://en.wikipedia.org/wiki/Oregon_Health_&_Science_University
we prove the convergence of the solutions $ u _ { m, p } $ of the equation $ u _ t + ( u ^ m ) _ x = - u ^ p $ in $ \ r \ times ( 0, \ infty ) $, $ u ( x, 0 ) = u _ 0 ( x ) \ ge 0 $ in $ \ r $, as $ m \ to \ infty $ for any $ p > 1 $ and $ u _ 0 \ in l ^ 1 ( \ r ) \ cap l ^ { \ infty } ( \ r ) $ or as $ p \ to \ infty ...
arxiv:1501.04253
we investigate the effect on high - order harmonic generation of the distortion of molecular orbitals by the driving laser field. calculations for high - order harmonic generation including orbital distortion are performed for n2. our results allow us to suggest that field - distortion is the reason why the two - cente...
arxiv:1303.1362
our main interest in creating a secondary high - quality kl - beam is to investigate hyperon spectroscopy through both formation and production processes. we propose to study two - body reactions induced by the kl - beam on the proton target. the experiment should measure both differential cross sections and self - ana...
arxiv:1608.08822
a new set of vector solutions to maxwell ' s equations based on solutions to the wave equation in spheroidal coordinates allows laser beams to be described beyond the paraxial approximation. using these solutions allows us to calculate the complete first - order corrections in the short - wavelength limit to eigenmodes...
arxiv:1003.4168
we study cosmological perturbations by solving the governing boltzmann and einstein field equations up to second order, and calculate the corresponding cmb bispectrum during recombination. we include all the second - order liouville and collision terms, truncating the multipole hierarchy at $ l = 10 $, consistently inc...
arxiv:1212.6968
in the standard model, the higgs boson is a cp even state with cp conserving couplings ; any deviations from this would be a sign of new physics. these cp properties can be probed by measuring higgs decays to tau lepton pairs : the transverse correlation between the tau spins depends on cp. this paper develops such an ...
arxiv:1804.01241
we study fermions at quantum criticality with extremely retarded interactions of the form $ v ( \ omega _ l ) = ( g / | \ omega _ l | ) ^ \ gamma $, where $ \ omega _ l $ is the transferred matsubara frequency. this system undergoes a normal - superconductor phase transition at a critical temperature $ t = t _ c $. the...
arxiv:2206.07575
we compute models of the transmission spectra of planets hd 209458b, hd 189733b, and generic hot jupiters. we examine the effects of temperature, surface gravity, and metallicity for the generic planets as a guide to understanding transmission spectra in general. we find that carbon dioxide absorption at 4. 4 and 15 mi...
arxiv:0912.2350
a new position is introduced and studied for the convolution of log - concave functions, which may be regarded as a functional analogue of the maximum intersection position of convex bodies introduced and studied by artstein - avidan and katzin ( 2018 ) and artstein - avidan and putterman ( 2022 ). our main result is a...
arxiv:2401.01033
let $ f ( x ) $ be the product of several linear polynomials with integer coefficients. in this paper, we obtain the estimate : $ \ log { \ rm lcm } ( f ( 1 ),..., f ( n ) ) \ sim an $ as $ n \ rightarrow \ infty $, where $ a $ is a constant depending on $ f $.
arxiv:1108.0162
large visual language models ( lvlms ) struggle with hallucinations in visual instruction following task ( s ), limiting their trustworthiness and real - world applicability. we propose pelican - - a novel framework designed to detect and mitigate hallucinations through claim verification. pelican first decomposes the ...
arxiv:2407.02352
the efficiency of atomic simulations of materials and molecules can rapidly deteriorate when large free energy barriers exist between local minima. we propose smooth basin classification, a universal method to define reaction coordinates based on the internal feature representation of a graph neural network. we achieve...
arxiv:2404.03777
we study laser driven spin - current effects at ferromagnet / topological - insulator interfaces by two complementary experimental approaches. the dc photocurrent is studied in ferromagnet / topological - insulator bilayers with high spatial resolution. dynamic interface currents are explored via the emission of terahe...
arxiv:2202.01522
entanglement evolution of two independent jaynes - cummings atoms without rotating - wave approximation ( rwa ) is studied by an numerically exact approach. the previous results in the rwa are essentially modified in the strong coupling regime ( $ g \ ge 0. 1 $ ), which has been reached in the recent experiments on the...
arxiv:1008.3080
we investigate the interaction between rydberg atoms, whose electronic states are dressed by multiple microwave fields. numerical calculations are used for an exact description of the microwave induced interactions, and employed to benchmark a perturbative treatment that yields simple insights into the involved mechani...
arxiv:1412.4925
in the past few decades, some studies pointed out that magnetic field might affect the rotation curves in galaxies. however, the impact is relatively small compared with the effects of dark matter and the baryonic components. in this letter, we revisit the impact of magnetic field on the rotation curve of our galaxy. w...
arxiv:2208.06098
we report high pressure structural phase transformation sequence in a layered iron - based superconducting compound fese0. 3te0. 7 to 31 gpa at room temperature. the ambient pressure pbo type tetragonal phase ( space group - p4 / nmm ) transforms to a monoclinic phase ( space group - p21 / m ) at a pressure of 7. 3 \ p...
arxiv:1105.0908
we introduce a discrete time reflected scheme to solve doubly reflected backward stochastic differential equations with jumps ( in short drbsdes ), driven by a brownian motion and an independent compensated poisson process. as in dumitrescu - labart ( 2014 ), we approximate the brownian motion and the poisson process b...
arxiv:1502.02888
since several papers appeared in 2000, the quantum key distribution ( qkd ) community has been well aware that photon number splitting ( pns ) attack by eve severely limits the secure key distribution distance in bb84 qkd systems with poissonian photon sources. in attempts to solve this problem, entanglement - based qk...
arxiv:quant-ph/0507110
a qualitative study of the lightest glueball states in euclidean su ( 2 ) yang - mills theory quantized in the maximal abelian gauge is presented. the analysis is done by generalizing to the maximal abelian gauge the so - called replica model, already successfully introduced in the landau gauge. as it will be shown, th...
arxiv:1110.4395
we examine possible additive corrections to the bekenstein - hawking ( bh ) entropy of black holes due to very general classical and quantal modifications of general relativity. in general, black hole entropy is subject to the generalized second law of thermodynamics. for the case of binary black hole coalescence, the ...
arxiv:2408.13820
many scene text recognition approaches are based on purely visual information and ignore the semantic relation between scene and text. in this paper, we tackle this problem from natural language processing perspective to fill the gap between language and vision. we propose a post - processing approach to improve scene ...
arxiv:1810.12738
dark matter in the cosmological concordance model is parameterised by a single number, describing the covariantly conserved energy density of a non - relativistic fluid. here we test this assumption in a model - independent and conservative way by considering the possibility that, at any point during the cosmological e...
arxiv:1803.03644
a quench in a su - schrieffer - heeger lattice across the topological boundary initialized with an edge state leads to transport across the chain. we consider such a quench in an effective model in which non - hermitian components are embedded in an ssh lattice. we find that the transport arising as a result of quench ...
arxiv:2410.00325
the primary objective of this paper is to investigate how a popular text - to - image ( t2i ) model represents people from 208 different nationalities when prompted to generate images of individuals performing typical activities. two scenarios were developed, and images were generated based on input prompts that specif...
arxiv:2504.06313
video sharing sites, such as youtube, use video responses to enhance the social interactions among their users. the video response feature allows users to interact and converse through video, by creating a video sequence that begins with an opening video and followed by video responses from other users. our characteriz...
arxiv:0804.4865
plagiarism detection systems are essential tools for safeguarding academic and educational integrity. however, today ' s systems require disclosing the full content of the input documents and the document collection to which the input documents are compared. moreover, the systems are centralized and under the control o...
arxiv:2005.11504
recently there has been much interest in graph - based learning, with applications in collaborative filtering for recommender networks, link prediction for social networks and fraud detection. these networks can consist of millions of entities, and so it is very important to develop highly efficient techniques. we are ...
arxiv:1206.5259
we derive a correspondence between the eigenvalues of the adjacency matrix $ a $ and the signless laplacian matrix $ q $ of a graph $ g $ when $ g $ is $ ( d _ 1, d _ 2 ) $ - biregular by using the relation $ a ^ 2 = ( q - d _ 1i ) ( q - d _ 2i ) $. this motivates asking when it is possible to have $ x ^ r = f ( y ) $ ...
arxiv:1706.03298
the cdms collaboration has reported two candidate events for dark matter. if the events are due to the elastic scattering of dark matter, the dark matter would be a wimp dark matter with its mass of the order of 10 - 100gev and its scattering cross section with a nucleon is about 10 ^ - 43cm ^ 2. we show that such a da...
arxiv:0912.5361
astronomical observations often require the detection of faint signals in the presence of noise, and the near - infrared regime is no exception. in particular, where the application has short exposure time constraints, we are frequently and unavoidably limited by the read noise of a system. a recent and revolutionary d...
arxiv:1911.04684
by extending the notion of lie derivative to distribution - valued tensor fields of order $ m $, lie derivatives with respect to $ c ^ k $ vector fields, $ k \ geqslant m + 1 $, can be shown to be well defined. geometric symmetries, definable in terms of these lie derivatives, can then be considered. in particular, for...
arxiv:2112.09779
##tusius ' roman ododmeter. = = = bibliographies = = = a bibliography of collected works and correspondence of mathematicians archive dated 2007 / 3 / 17 ( steven w. rockey ; cornell university library ). = = = organizations = = = international commission for the history of mathematics = = = journals = = = historia mat...
https://en.wikipedia.org/wiki/History_of_mathematics
the search for the rare \ bmumu and \ bsmumu decays in pp collisions at $ \ sqrt s = 7 $ ~ gev and $ \ sqrt s = 8 $ ~ gev, collected at the lhc in 2011 and 2012, is briefly reviewed. the data analyzed by cms correspond to a total integrated luminosity of 5 and 20 $ \ rm fb ^ { - 1 } $, respectively. the time - integrat...
arxiv:1409.0445
the pygmy dipole resonances and photon strength functions in stable and unstable ni and sn isotopes are calculated within the microscopic self - consistent version of the extended theory of finite fermi systems which includes phonon coupling effects. the skyrme forces sly4 is used. a pygmy dipole resonance in $ ^ { 72 ...
arxiv:1412.0268
different experimental studies have reported anomalous diffusion in brain tissues and notably this anomalous diffusion is expressed through fractional derivatives. axons are important to understand neurodegenerative diseases such as multiple sclerosis, alzheimer ' s disease and parkinson ' s disease. indeed, abnormal a...
arxiv:1709.02443
detecting rare objects from a few examples is an emerging problem. prior works show meta - learning is a promising approach. but, fine - tuning techniques have drawn scant attention. we find that fine - tuning only the last layer of existing detectors on rare classes is crucial to the few - shot object detection task. ...
arxiv:2003.06957
recent numerical results point to the existence of a conformally invariant twist defect in the critical 3d ising model. in this note we show that this fact is supported by both epsilon expansion and conformal bootstrap calculations. we find that our results are in good agreement with the numerical data. we also make ne...
arxiv:1310.5078
access to generalised parton distributions ( gpds ) through deeply virtual compton scattering ( dvcs ) is briefly described. presently available experimental results on dvcs are summarized in conjunction with plans for future measurements.
arxiv:hep-ex/0503010
deep - learning density functional theory ( dft ) shows great promise to significantly accelerate material discovery and potentially revolutionize materials research. however, current research in this field primarily relies on data - driven supervised learning, making the developments of neural networks and dft isolate...
arxiv:2403.11287
we have compared the radio emission from a sample of parsec - scale agn jets as measured by the vlba at 15 ghz, with their associated gamma - ray properties that are reported in the fermi lat 3 - month bright source list. we find in our radio - selected sample that the gamma - ray photon flux correlates well with the q...
arxiv:0902.2085
quantum many - body systems are characterized by their correlations. while equal - time correlators and unequal - time commutators between operators are standard observables, the direct access to unequal - time anti - commutators poses a formidable experimental challenge. here, we propose a general technique for measur...
arxiv:2104.03983
weakly - supervised vision - language ( v - l ) pre - training ( w - vlp ) aims at learning cross - modal alignment with little or no paired data, such as aligned images and captions. recent w - vlp methods, which pair visual features with object tags, help achieve performances comparable with some vlp models trained w...
arxiv:2210.13591
we propose a general transfer learning framework for clustering given a main dataset and an auxiliary one about the same subjects. the two datasets may reflect similar but different latent grouping structures of the subjects. we propose an adaptive transfer clustering ( atc ) algorithm that automatically leverages the ...
arxiv:2410.21263
we introduce and study a category $ \ text { fin } $ of modules of the borel subalgebra of a quantum affine algebra $ u _ q \ mathfrak { g } $, where the commutative algebra of drinfeld generators $ h _ { i, r } $, corresponding to cartan currents, has finitely many characteristic values. this category is a natural ext...
arxiv:1609.05724
eremets and troyan ( nature mater. 10, 927 - 931 ( 2011 ) ) claim that they produced the conducting liquid hydrogen state at 270 gpa and 295 k. their evidence consists of disappearance of raman signals, visual observations, and measurements of electrical conductivity in diamond anvil cells ( dac ). however, there is no...
arxiv:1207.6643
given starting and ending positions and velocities, $ l _ 2 $ bounds on the acceleration and velocity, and the restriction to no more than two constant control inputs, this paper provides routines to compute the minimal - time path. closed form solutions are provided for reaching a position in minimum time with and wit...
arxiv:2403.04602
in this note we discuss several questions concerning the implementation of overdetermined least - squares collocation methods for higher - index differential algebraic equations ( daes ). since higher - index daes lead to ill - posed problems in natural settings, the dicrete counterparts are expected to be very sensiti...
arxiv:2011.12611
exploring and traveling to distant stars has long fascinated humanity but has been limited due to the vast distances. the breakthrough starshot program aims at eliminating this limitation by traveling to alpha centauri, which is 4. 37 light - years away. thus, it is only possible if a vehicle travels at a substantial f...
arxiv:2203.14699
we develop a quantum theory of the nonlinear interaction between intense surface acoustic waves and electrons of a quantum well in the regime of moving quantum wires and dots. the quantum nonlinear interaction qualitatively differs from the classical one. in a system of electron wires driven by an acoustic wave the sou...
arxiv:cond-mat/0101227
the presence of two globular cluster subpopulations in early - type galaxies is now the norm rather than the exception. here we present two more examples for which the host galaxy appears to have undergone a recent merger. using multi - colour keck imaging of ngc 1052 and ngc 7332 we find evidence for a bimodal globula...
arxiv:astro-ph/0103464
using geometric approach we formulate quantum theory in terms of jordan algebras. we analyze the notion of ( quasi ) particle ( = elementary excitation of translation - invariant stationary state ) and the scattering of ( quasi ) particles in this framework.
arxiv:2301.10446
amenable actions of locally compact groups on von neumann algebras are investigated by exploiting the natural module structure of the crossed product over the fourier algebra of the acting group. the resulting characterisation of injectivity for crossed products generalises a result of anantharaman - delaroche on discr...
arxiv:2012.14455
let $ \ phi : = \ left \ { ( x _ { 1 },..., x _ { d } ) \ rightarrow \ left ( r _ { i, 1 } x _ { 1 } + a _ { i, 1 },..., r _ { i, d } x _ { d } + a _ { i, d } \ right ) \ right \ } _ { i \ in \ lambda } $ be an affine diagonal ifs on $ \ mathbb { r } ^ { d } $. suppose that for each $ 1 \ le j _ { 1 } < j _ { 2 } \ le ...
arxiv:2309.03985
), such as in i = 1 n i 2 { \ displaystyle \ textstyle \ sum _ { i = 1 } ^ { n } i ^ { 2 } } or 0 < i < j < n j − i { \ displaystyle \ textstyle \ sum _ { 0 < i < j < n } j - i }. 2. denotes a series and, if the series is convergent, the sum of the series. for example, i = 0 ∞ x i i! = e x { \ displaystyle \ textstyle ...
https://en.wikipedia.org/wiki/Glossary_of_mathematical_symbols
the existence of a new kind of branes for the open topological a - model is argued by using the generalized complex geometry of hitchin and the syz picture of mirror symmetry. mirror symmetry suggests to consider a bi - vector in the normal direction of the brane and a new definition of generalized complex submanifold....
arxiv:hep-th/0412181
this paper studies the optimal output consensus problem for a group of heterogeneous linear multi - agent systems. different from existing results, we aim at effective controllers for these high - order agents under both event - triggered control and event - triggered communication settings. we conduct an embedded desi...
arxiv:2206.08570
moving object detection ( mod ) is a significant problem in computer vision that has many real world applications. different categories of methods have been proposed to solve mod. one of the challenges is to separate moving objects from illumination changes and shadows that are present in most real world videos. state ...
arxiv:1808.01066
regular structures generated by random interactions in energy centroids defined over irreducible representations ( irreps ) of some of the group symmetries of the interacting boson models $ sd $ ibm, $ sdg $ ibm, $ sd $ ibm - $ t $ and $ sd $ ibm - $ st $ are studied by deriving trace propagations equations for the cen...
arxiv:nucl-th/0503031
horndeski models with a de sitter critical point for any kind of material content may provide a mechanism to alleviate the cosmological constant problem. we study the cosmological evolution of two classes of families - the linear models and the non - linear models with shift symmetry. we conclude that the latter models...
arxiv:1511.00655
covid - 19 has a spectrum of disease severity, ranging from asymptomatic to requiring hospitalization. understanding the mechanisms driving disease severity is crucial for developing effective treatments and reducing mortality rates. one way to gain such understanding is using a multi - class classification framework, ...
arxiv:2210.02197
a compartment fire ( a fire in a room or building ) creates temperature gradients and inhomogeneous time - varying temperature, density, and flow fields. this work compared experimental measurements of the room acoustic impulse / frequency response in a room with a fire to numerically modeled responses. the fire is mod...
arxiv:2108.11516
virtualization is a very popular solution to many problems in datacenter management. it offers increased utilization of existing system resources through effective consolidation, negating the need for more servers and additional rack space. furthermore, it offers essential capabilities in terms of disaster recovery and...
arxiv:1404.2174