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the kasner metrics are among the simplest solutions of the vacuum einstein equations, and we use them here to examine the conformal method of finding solutions of the einstein constraint equations. after describing the conformal method ' s construction of constant mean curvature ( cmc ) slices of kasner spacetimes, we ... | arxiv:1404.7242 |
the cm carbonaceous chondrite meteorites provide a record of low temperature aqueous reactions in the early solar system. a number of cm chondrites also experienced short - lived, post - hydration thermal metamorphism at temperatures of 200c to over 750c. the exact conditions of thermal metamorphism and the relationshi... | arxiv:2102.07634 |
this is a pedagogic introduction to certain aspects of inverse spectral theory for schr \ " { o } dinger operators and jacobi matrices that revolves around my joint work with fritz gesztesy whose $ 70 ^ { th } $ birthday we are honoring. | arxiv:2308.10291 |
recommender systems are a critical component of e - commercewebsites. the rapid development of online social networking services provides an opportunity to explore social networks together with information used in traditional recommender systems, such as customer demographics, product characteristics, and transactions.... | arxiv:2412.12202 |
jax is widely used in machine learning and scientific computing, the latter of which often relies on existing high - performance code that we would ideally like to incorporate into jax. reimplementing the existing code in jax is often impractical and the existing interface in jax for binding custom code either limits t... | arxiv:2403.08847 |
we study the non - linear evolution of baryon acoustic oscillations in the matter power spectrum and correlation function from the improved perturbation theory ( pt ). based on the framework of renormalized pt, we apply the { \ it closure approximation } that truncates the infinite series of loop contributions at one -... | arxiv:0906.0507 |
the interaction between an atomic ensemble and a light mode in a high - finesse optical cavity can easily reach the strong - coupling regime, where quantum effects dominate. in this regime, the interaction can be used to generate both atom - light and atom - atom entanglement. we analyze the dominant effects on the col... | arxiv:2106.13234 |
we introduce a new method for decomposing the edge set of a graph, and use it to replace the regularity lemma of szemer \ ' edi in some graph embedding problems. an algorithmic version is also given. | arxiv:2109.12394 |
semantic parsing has long been a fundamental problem in natural language processing. recently, cross - domain context - dependent semantic parsing has become a new focus of research. central to the problem is the challenge of leveraging contextual information of both natural language utterance and database schemas in t... | arxiv:2101.01686 |
the most general covariant gauge fixing lagrangian is considered for a spin - two gauge theory in the context of the faddeev - popov procedure. in general, five parameters characterize this gauge fixing. certain limiting values for these parameters give rise to a spin - two propagator that is either traceless or transv... | arxiv:0707.2590 |
in the framework of the ordinary non - relativistic quantum mechanics, it is known that a quantum particle in a rapidly - oscillating bound potential with vanishing time average can be scattered off or even trapped owing to the phenomenon of dynamical ( kapitza ) stabilization. a similar phenomenon occurs for scatterin... | arxiv:1706.09129 |
along a sextic. this method also allows one to produce examples over a number field. | arxiv:1506.00420 |
there are strong indications from recent papers ( e. g. worthey et al. 1992 ) that the abundance ratio of mg / fe, and consequently also o / fe in giant elliptical galaxies is not solar. the line strengths of two fe lines at 5270 and 5335 a are weaker than one expects from the strength of the mg b line if [ mg / fe ] =... | arxiv:astro-ph/9312051 |
approximately 1. 25 million people in the united states are treated each year for burn injuries. precise burn injury classification is an important aspect of the medical ai field. in this work, we propose an explainable human - in - the - loop framework for improving burn ultrasound classification models. our framework... | arxiv:2210.13535 |
we propose a simple growing model for the evolution of small - world networks. it is introduced as a modified ba model in which all the edges connected to the new nodes are made locally to the creator and its nearest neighbors. it is found that this model can produce small - world networks with power - law degree distr... | arxiv:0708.2600 |
let x be an open subset of r ^ 2. we study the dynamic operator, a, integrating over a family of level curves in x when the object changes between the measurement. we use analytic microlocal analysis to determine which singularities can be recovered by the data - set. our results show that not all singularities can be ... | arxiv:1707.08936 |
recent breakthroughs in large language modeling have facilitated rigorous exploration of their application in diverse tasks related to tabular data modeling, such as prediction, tabular data synthesis, question answering, and table understanding. each task presents unique challenges and opportunities. however, there is... | arxiv:2402.17944 |
we present the results of a deep survey of the nearby sculptor group and the associated sculptor filament taken with the parkes 64 - m radio telescope in the 21 - cm emission line of neutral hydrogen. we detect 31 hi sources in the sculptor group / filament, eight of which are new hi detections. we derive a slope of th... | arxiv:1709.00780 |
we study the problem of hanging a wide range of grasped objects on diverse supporting items. hanging objects is a ubiquitous task that is encountered in numerous aspects of our everyday lives. however, both the objects and supporting items can exhibit substantial variations in their shapes and structures, bringing two ... | arxiv:2312.04936 |
we report on simulations of dt simplicial gravity for manifolds with the topology of the 4 - disk. we find evidence for four phases in a two - dimensional parameter space. in two of these the boundary plays no dynamical role and the geometries are equivalent to those observed earlier for the sphere $ s ^ 4 $. in anothe... | arxiv:hep-lat/0008015 |
we present the results of simultaneous radio and x - ray observations of psr j1819 - 1458. our 94 - ks xmm - newton observation of the high magnetic field 5 * 10 ^ 13 g pulsar reveals a blackbody spectrum ( kt ~ 130 ev ) with a broad absorption feature, possibly composed of two lines at ~ 1. 0 and ~ 1. 3 kev. we perfor... | arxiv:1309.1126 |
it was noticed by harel in [ har86 ] that " one can define $ \ sigma _ 1 ^ 1 $ - complete versions of the well - known post correspondence problem ". we first give a complete proof of this result, showing that the infinite post correspondence problem in a regular $ \ omega $ - language is $ \ sigma _ 1 ^ 1 $ - complete... | arxiv:1107.5886 |
japan, south korea, bangladesh, and south africa, the title of professional engineer is granted through licensure. in the united kingdom, ireland, india, and zimbabwe the granted title is chartered engineer. in australia, the granted title is chartered professional engineer. lastly, in the european union, the granted t... | https://en.wikipedia.org/wiki/Geological_engineering |
time reversal, that is prefiltering of transmitted signals with time reversed channel impulse responses, may be used in single user communications in order to move complexity from the receiver to the transmitter, and in multiuser communications to also modify statistical properties of multiuser interference. imperfect ... | arxiv:1405.4459 |
we carry out a theoretical study of unconventional superconductivity in twisted bilayer cuprates ( tbc ) as a function of electron density and layer twist angle. the bilayer $ t $ - $ j $ - $ u $ model is employed and analyzed within the framework of a generalized variational wave function approach in the statistically... | arxiv:2310.04379 |
the vacuum $ r ^ 2 $ model is known to generate a quasi - de sitter evolution for inflation, using solely the slow - roll assumptions. using standard reconstruction techniques, we demonstrate that the $ f ( r ) $ gravity which actually realizes the quasi - de sitter evolution is not simply the $ r ^ 2 $ model but a def... | arxiv:2112.06269 |
we study by diagrammatic methods a mixture of single - component bosons and fermions, with boson - fermion coupling tuned by a fano - feshbach resonance. for increasing coupling, the growing boson - fermion pairing correlations progressively reduce the boson condensation temperature and make it eventually vanish at a c... | arxiv:1001.1971 |
the general solution of the one - dimensional stationary schroedinger equation in the form of a formal power series is considered. its efficiency for numerical analysis of initial value and boundary value problems is discussed. | arxiv:0708.2491 |
the instanton vacuum picture is used to study hadronic matrix elements of the twist - 3 ( dimension - 4, spin - 1 ) qcd operators measuring the quark spin density and spin - orbit correlations. the qcd operators are converted to effective operators in the low - energy effective theory emerging after chiral symmetry bre... | arxiv:2310.16890 |
wireless sensor networks ( wsns ) consist of sensor nodes which can be deployed for various operations such as agriculture and environmental sensing, wild life monitoring, health care, military surveillance, industrial control, home automation, security etc. quality of service ( qos ) is an important issue in wireless ... | arxiv:1504.02866 |
the use of multi - particle entangled states has the potential to drastically increase the sensitivity of atom interferometers and atomic clocks. the twist - and - turn ( tnt ) hamiltonian can create multi - particle entanglement much more rapidly than ubiquitous one - axis twisting ( oat ) hamiltonian in the same spin... | arxiv:1803.08789 |
we prove the following ; theorem : let r be a prime noetherian ring with k. dimr = n, n a finite non - negative integer. we refer the reader to the definitions ( 1. 1 ) of this paper. for a fixed non - negative integer m, m < n let xm be the full set of m - prime ideals p of r and let cm = the set of elements c in r wi... | arxiv:1912.02509 |
using a new, expanded compilation of extragalactic source faraday rotation measures ( rm ) we investigate the broad underlying magnetic structure of the galactic disk at latitudes $ | b | $ $ \ lesssim 15 ^ { \ circ } $ over all longitudes $ l $, where our total number of rm ' s in this low - latitude range of the gala... | arxiv:0909.4753 |
we study mixing of the dirac neutrinos in the residual symmetries approach. the key difference from the majorana case is that the dirac mass matrix may have larger symmetries : $ g _ \ nu = \ mathbf { z } _ { n } $ with $ n \ geq3 $. the symmetry group relations have been generalized to the case of dirac neutrinos. usi... | arxiv:1510.00344 |
we show the existence of the fractional topological phase ( ftp ) in a one - dimensional interacting fermion model using exact diagonalization, in which the non - interacting part has flatbands with nontrivial topology. in the presence of the nearest - neighbouring interaction $ v _ { 1 } $, the ftp at filling factor $... | arxiv:1204.2365 |
we argue that a new type of quantum hall state requiring non - perturbative landau level mixing arises at low electron density. in these states, up and down spin electrons pair to form spinless bosons that condense into a bosonic quantum hall state. we describe a wavefunction for a paired quantum hall state at $ \ nu =... | arxiv:cond-mat/9507077 |
the rate of electron transfer between a molecular species and a metal, each at a different local temperature, is examined theoretically through implementation of a bithermal ( characterized by two temperatures ) marcus formalism. expressions for the rate constant and the electronic contribution to a heat transfer mecha... | arxiv:1908.00501 |
wetlands constitute critical ecosystems that support both biodiversity and human well - being ; however, they have experienced a significant decline since the 20th century. back in the 1970s, researchers began to employ remote sensing technologies for wetland classification and mapping to elucidate the extent and varia... | arxiv:2504.10842 |
we prove that the norm of the riesz projection from $ l ^ \ infty ( \ bbb { t } ^ n ) $ to $ l ^ p ( \ bbb { t } ^ n ) $ is $ 1 $ for all $ n \ ge 1 $ only if $ p \ le 2 $, thus solving a problem posed by marzo and seip in 2011. this shows that $ h ^ p ( \ bbb { t } ^ { \ infty } ) $ does not contain the dual space of ... | arxiv:2005.11951 |
the origin of the radio emission in radio quiet ( rq ) quasars is not established yet. important hints can be provided by the spectral slope, and its relation to other emission properties. we compiled the highest resolution 5 and 8. 4 ghz vla observations available of the rq optically selected pg quasars at z < 0. 5. w... | arxiv:1810.10245 |
classical tensors, the familiar mathematical objects denoted by symbols such as $ t _ { i } $, $ t ^ { ij } $ and $ t _ { k } ^ { ij } $, are usually interpreted either as ' coordinatizable objects ' with coordinates changing in a specific way under a change of coordinate system or as elements of tensor spaces of the f... | arxiv:1401.0900 |
point - cloud data acquired using a terrestrial laser scanner ( tls ) play an important role in digital forestry research. multiple scans are generally used to overcome occlusion effects and obtain complete tree structural information. however, it is time - consuming and difficult to place artificial reflectors in a fo... | arxiv:2001.11192 |
this is part ii of the series of our papers under the title " toward resolution of singularities over a field of positive characteristic ( the idealistic filtration program ) ". see http : / / arxiv. org / abs / math / 0607009 for part i. | arxiv:math/0612008 |
we propose a petrov - - galerkin spectral method for odes with variable coefficients. when the variable coefficients are smooth, the new method yields a strictly banded linear system, which can be efficiently constructed and solved in linear complexity. the performance advantage of our method is demonstrated through be... | arxiv:2502.11652 |
the incorporation of macro - actions ( temporally extended actions ) into multi - agent decision problems has the potential to address the curse of dimensionality associated with such decision problems. since macro - actions last for stochastic durations, multiple agents executing decentralized policies in cooperative ... | arxiv:1709.06656 |
quality assurance is crucial in the smart manufacturing industry as it identifies the presence of defects in finished products before they are shipped out. modern machine learning techniques can be leveraged to provide rapid and accurate detection of these imperfections. we, therefore, propose a transfer learning appro... | arxiv:2302.13317 |
the utilization of multi - modal sensor data in visual place recognition ( vpr ) has demonstrated enhanced performance compared to single - modal counterparts. nonetheless, integrating additional sensors comes with elevated costs and may not be feasible for systems that demand lightweight operation, thereby impacting t... | arxiv:2312.10616 |
for propagating and evanescent vector bessel beams, we study the singularities of the poynting vector ( poynting singularities ), at which the energy flux density turns to zero. poynting singularities include all the phase singularities and some of polarization ones ( l - and c - points ). we reveal the existence condi... | arxiv:0911.3754 |
give a shorter range. as 802. 11 specifications evolved to support higher throughput, the protocols have become much more efficient in their bandwidth use. additionally, they have gained the ability to aggregate channels together to gain still more throughput where the bandwidth for additional channels is available. 80... | https://en.wikipedia.org/wiki/Wi-Fi |
the hexagonal warping effect on transport properties and goos - h \ " anchen ( gh ) lateral shift of electrons on the surface of a topological insulator with a potential barrier is investigated theoretically. due to the warped fermi surface for incident electron beams, we can expect two propagating transmitted beams co... | arxiv:2202.09537 |
the cornerstones of boltzmann - gibbs and nonextensive statistical mechanics respectively are the entropies $ s _ { bg } \ equiv - k \ sum _ { i = 1 } ^ w p _ i \ ln p _ i $ and $ s _ { q } \ equiv k ( 1 - \ sum _ { i = 1 } ^ wp _ i ^ { q } ) / ( q - 1 ) ( q \ in { \ mathbb r } ; s _ 1 = s _ { bg } ) $. through them we... | arxiv:cond-mat/0409631 |
these notes are a written version of my talk given at the carma workshop in june 2017, with some additional material. i presented a few concepts that have recently been used in the computation of tree - level scattering amplitudes ( mostly using pure spinor methods but not restricted to it ) in a context that could be ... | arxiv:2011.14413 |
for a free group $ \ mathbb { f } $ of finite rank such that $ \ text { rank } ( \ mathbb { f } ) \ geq 3 $, we prove that the set of weak limits of a conjugacy class in $ \ mathbb { f } $ under iterates of some hyperbolic $ \ phi \ in \ mathsf { out ( \ mathbb { f } ) } $ is equal to the collection of generic leaves a... | arxiv:1709.09024 |
the eponymous theorem of p. l. wantzel presents a necessary and sufficient criterion for angle trisectability in terms of the third chebyshev polynomial $ t _ 3 $, thus making it easy to prove that there exist non - trisectable angles. we generalize this theorem to the case of all chebyshev polynomials $ t _ m $. we al... | arxiv:1503.01080 |
using the atlas detector, observations have been made of a centrality - dependent dijet asymmetry in the collisions of lead ions at the large hadron collider. in a sample of lead - lead events with a per - nucleon center of mass energy of 2. 76 tev, selected with a minimum bias trigger, jets are reconstructed in fine -... | arxiv:1011.6182 |
we formalize the arithmetic topology, i. e. a relationship between knots and primes. namely, using the notion of a cluster c * - algebra we construct a functor from the category of 3 - dimensional manifolds m to a category of algebraic number fields k, such that the prime ideals ( ideals, resp. ) in the ring of integer... | arxiv:1706.06398 |
in the selective coloring problem, we are given an integer $ k $, a graph $ g $, and a partition of $ v ( g ) $ into $ p $ parts, and the goal is to decide whether or not we can pick exactly one vertex of each part and obtain a $ k $ - colorable induced subgraph of $ g $. this generalization of vertex coloring has only... | arxiv:2011.14801 |
we study spectral measures of risk from the perspective of portfolio optimization. we derive exact results which extend to general spectral measures m _ phi the pflug - - rockafellar - - uryasev methodology for the minimization of alpha - - expected shortfall. the minimization problem of a spectral measure is shown to ... | arxiv:cond-mat/0203607 |
mode - pairing ( mp ) quantum key distribution ( qkd ) eliminates the requirements of phase locking and phase tracking compared with twin - field ( tf ) qkd while still surpassing the fundamental rate - distance limit of qkd. the complexity of the experimental implementation is reduced while the efficiency can still be... | arxiv:2304.09621 |
exclusive semileptonic b decays into $ d _ 1 $ and $ d _ 2 ^ * $ mesons are investigated including order $ \ lambda _ { qcd } / m _ { c, b } $ corrections using the heavy quark effective theory. at zero recoil, the $ \ lambda _ { qcd } / m _ { c, b } $ corrections can be written in terms of the leading isgur - wise fun... | arxiv:hep-ph/9703213 |
we extend the construction of the bfv - complex of a coisotropic submanifold from the poisson setting to the jacobi setting. in particular, our construction applies in the contact and l. c. s. settings. the bfv - complex of a coisotropic submanifold $ s $ controls the coisotropic deformation problem of $ s $ under both... | arxiv:1601.04540 |
in solid - state materials science, substantial efforts have been devoted to the calculation and modeling of the electronic band gap. while a wide range of ab initio methods and machine learning algorithms have been created that can predict this quantity, the development of new computational approaches for studying the... | arxiv:2501.02932 |
surreal numbers, have a very rich and elegant theory. this class of numbers, denoted by no, includes simultaneously the ordinal numbers and the real numbers, and forms a universal huge real closed field : it is universal in the sense that any real closed field can be embedded in it. following gonshor, surreal numbers c... | arxiv:2201.08199 |
we compute the effective potential for $ \ phi ^ 4 $ theory with a squeezed coherent state type of construct for the ground state. the method essentially consists in optimising the basis at zero and finite temperatures. the gap equation becomes identical to resumming the infinite series of daisy and super daisy graphs ... | arxiv:hep-ph/9611365 |
recent development in data - driven decision science has seen great advances in individualized decision making. given data with individual covariates, treatment assignments and outcomes, researchers can search for the optimal individualized treatment rule ( itr ) that maximizes the expected outcome. existing methods ty... | arxiv:2109.02570 |
doob ' s theorem provides guarantees of consistent estimation and posterior consistency under very general conditions. despite the limitation that it only guarantees consistency on a set with prior probability 1, for many models arising in practice, doob ' s theorem is an easy way of showing that consistency will hold ... | arxiv:1801.03122 |
the information - theoretic framework of russo and j. zou ( 2016 ) and xu and raginsky ( 2017 ) provides bounds on the generalization error of a learning algorithm in terms of the mutual information between the algorithm ' s output and the training sample. in this work, we study the proposal, by steinke and zakynthinou... | arxiv:2004.12983 |
current research work deals with the effect of uniform and non - uniform wall heating on magnetohydrodynamic ( mhd ) natural convection within a three - dimensional ( 3d ) cavity filled with molten lithium. a new higher - order super compact ( hosc ) finite difference scheme is used to analyze the thermal behavior unde... | arxiv:2408.01853 |
we establish a correspondence between toroidal compactifications of m - theory and del pezzo surfaces. m - theory on t ^ k corresponds to p ^ 2 blown up at k generic points ; type iib corresponds to p ^ 1 \ times p ^ 1. the moduli of compactifications of m - theory on rectangular tori are mapped to kahler moduli of del... | arxiv:hep-th/0111068 |
discovering user preferences across different domains is pivotal in cross - domain recommendation systems, particularly when platforms lack comprehensive user - item interactive data. the limited presence of shared users often hampers the effective modeling of common preferences. while leveraging shared items ' attribu... | arxiv:2410.20580 |
crystallographic texture engineering in ceramics is essential to achieve direction - specific properties. current texture engineering methods are time - consuming, energy extensive, or can lead to unnecessary diffusion of added dopants. herein, we explore ultrafast high - temperature sintering ( uhs ) to prepare dense ... | arxiv:2407.00255 |
invited discussion of " a unified framework for de - duplication and population size estimation ", published in bayesian analysis. my discussion focuses on two main themes : providing a more nuanced picture of the costs and benefits of joint models for record linkage and the " downstream task " ( i. e. whatever we migh... | arxiv:2009.00217 |
type ia supernovae ( sne ) serve as a fundamental pillar of modern cosmology, owing to their large luminosity and a well - defined relationship between light - curve shape and peak brightness. the precision distance measurements enabled by sne ia first revealed the accelerating expansion of the universe, now widely bel... | arxiv:1109.1593 |
this paper is concerned with the proportional integral ( pi ) regulation control of the left neu - mann trace of a one - dimensional semilinear wave equation. the control input is selected as the right neumann trace. the control design goes as follows. first, a preliminary ( classical ) velocity feedback is applied in ... | arxiv:2006.10467 |
experience replay ( er ) is a fundamental component of off - policy deep reinforcement learning ( rl ). er recalls experiences from past iterations to compute gradient estimates for the current policy, increasing data - efficiency. however, the accuracy of such updates may deteriorate when the policy diverges from past... | arxiv:1807.05827 |
the composition of pretraining data is a key determinant of foundation models ' performance, but there is no standard guideline for allocating a limited computational budget across different data sources. most current approaches either rely on extensive experiments with smaller models or dynamic data adjustments that a... | arxiv:2410.11820 |
surface waves supported by structured metallic surfaces, i. e. metasurfaces, have drawn wide attention recently. they are promising for various applications ranging from integrated photonic circuits to imaging and bio - sensing in various frequency regimes. in this work, we show that surface states with diverse polariz... | arxiv:2203.13363 |
in this article, we compute the schur multiplier, non - abelian tensor square and exterior square of non - abelian $ p $ - groups of order $ p ^ 5 $. as an application we determine the capability of groups of order $ p ^ 5 $. | arxiv:1804.11308 |
this paper proposes a generic formulation that significantly expedites the training and deployment of image classification models, particularly under the scenarios of many image categories and high feature dimensions. as a defining property, our method represents both the images and learned classifiers using binary has... | arxiv:1603.04116 |
the carnegie supernova project ( csp ) is aimed at providing an independent measure of change in the the hubble expansion as a function of redshift, and setting constraints dark energy contribution to the total energy content of the universe. using type ia supernovae ( snia ), the csp differs from other projects to dat... | arxiv:astro-ph/0411176 |
psychophysiology investigates the causal relationship of physiological changes resulting from psychological states. there are significant challenges with machine learning - based momentary assessments of physiology due to varying data collection methods, physiological differences, data availability and the requirement ... | arxiv:2207.02916 |
gj3470b is a rare example of a " hot uranus " transiting exoplanet orbiting a nearby m1. 5 dwarf. it is of crucial interest for atmospheric studies because it is one of the most inflated low - mass planets known, bridging the boundary between " super - earths " and neptunian planets. we present two new ground - based l... | arxiv:1308.6765 |
three different permutation test schemes are discussed and compared in the context of the two - sample problem for functional data. one of the procedures was essentially introduced by lopez - pintado and romo ( 2009 ), using notions of functional data depth to adapt the ideas originally proposed by liu and singh ( 1993... | arxiv:1610.06960 |
we analyze the framework recently proposed by oppenheim et al. to model relativistic quantum fields coupled to relativistic, classical, stochastic fields ( in particular, as a model of quantum matter coupled to ` ` classical gravity ' ' ). perhaps surprisingly, we find that we can define and calculate scattering probab... | arxiv:2412.04839 |
vehicle re - identification ( re - id ) is very important in intelligent transportation and video surveillance. prior works focus on extracting discriminative features from visual appearance of vehicles or using visual - spatio - temporal information. however, background interference in vehicle re - identification have... | arxiv:1910.06613 |
accurate estimation of the dynamic states of a synchronous machine ( e. g., rotor s angle and speed ) is essential in monitoring and controlling transient stability of a power system. it is well known that the covariance matrixes of process noise ( q ) and measurement noise ( r ) have a significant impact on the kalman... | arxiv:1702.00884 |
under liberal arts education in liberal arts colleges or universities = = methods = = the method or methods used in any particular context are largely determined by the objectives that the relevant educational system is trying to achieve. methods of teaching mathematics include the following : computer - based math : a... | https://en.wikipedia.org/wiki/Mathematics_education |
the long - lived $ ^ { 60 } $ fe ( with a half - life of 2. 62 myr ) is a crucial diagnostic of active nucleosynthesis in the milky way galaxy and in supernovae near the solar system. the neutron - capture reaction $ ^ { 59 } $ fe ( n, $ \ gamma $ ) $ ^ { 60 } $ fe on $ ^ { 59 } $ fe ( half - life = 44. 5 days ) is the... | arxiv:2109.12654 |
exactly solvable frustrated quantum spin models consisting of a diamond unit structure are presented. the ground states are characterized by tetramer - dimer states with a macroscopic degeneracy in a certain range of isotropic exchange interaction. the lower bound of the excitation gap is exactly calculated to be finit... | arxiv:1510.05431 |
this is a continuation of the paper ' symmetry breaking and other phenomena in the optimization of eigenvalues for composite membranes ' by s. chanillo, d. grieser, m. imai, k. kurata, and i. ohnishi. again, we consider the following eigenvalue optimization problem : given a bounded domain $ \ omega \ subset \ r ^ n $ ... | arxiv:math/9912117 |
smart farming is a growing field as technology advances. plant characteristics are crucial indicators for monitoring plant growth. research has been done to estimate characteristics like leaf area index, leaf disease, and plant height. however, few methods have been applied to non - destructive measurements of leaf siz... | arxiv:2304.03610 |
phase diagrams of the micromaser system are mapped out in terms of the physical parameters at hand like the atom cavity transit time, the atom - photon frequency detuning, the number of thermal photons and the probability for a pump atom to be in its excited state. critical fluctuations are studied in terms of correlat... | arxiv:quant-ph/0003133 |
in this paper, we study the variational properties of two special orbits : the schubart orbit and the broucke - h \ ' { e } non orbit. we show that under an appropriate topological constraint, the action minimizer must be either the schubart orbit or the broucke - h \ ' { e } non orbit. one of the main challenges is to... | arxiv:1607.00580 |
p2p computing lifts taxing issues in various areas of computer science. the largely used decentralized unstructured p2p systems are ad hoc in nature and present a number of research challenges. in this paper, we provide a comprehensive theoretical survey of various state - of - the - art search and replication schemes ... | arxiv:1008.1629 |
we consider the small - time local controllability in the vicinity of the ground state of a bilinear schr \ " odinger equation with neumann boundary conditions. we prove that, when the linearized system is not controllable, the nonlinear system is not controllable, due to a quadratic obstruction involving the squared n... | arxiv:2501.03882 |
for singular metrics, there is no quillen metric formalism on cohomology determinant. in this paper, we develop an admissible theory, with which the arithmetic deligne - riemann - roch isometry can be established for singular metrics. as an application, we first study weil - petersson metrics and takhtajan - zograf met... | arxiv:math/9810116 |
consider n non - intersecting particles on the real line ( dyson brownian motions ), all starting from the origin at time = 0, and forced to return to x = 0 at time = 1. for large n, the average mean density of particles has its support, for each 0 < t < 1, within the interior of an ellipse. the airy process is defined... | arxiv:0707.0442 |
in this paper we study a one - dimensional quantum random walk with the hadamard transformation which is often called the hadamard walk. we construct the hadamard walk using a transition matrix on probability amplitude and give some results on symmetry of probability distributions for the hadamard walk. | arxiv:quant-ph/0205065 |
we propose a unified modeling and algorithmic framework for audio restoration problem. it encompasses analysis sparse priors as well as more classical synthesis sparse priors, and regular sparsity as well as various forms of structured sparsity embodied by shrinkage operators ( such as social shrinkage ). the versatili... | arxiv:1711.11259 |
recommendation engine suggest content, product or services to the user by using machine learning algorithm. this paper proposed a content - based recommendation engine for providing video suggestion to the user based on their previous interests and choices. we will use tf - idf text vectorization method to determine th... | arxiv:2308.08406 |
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