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[ { "content": "the computation of the double differential scattering cross section ( ddcs ) at low incident neutron energies is required to solve neutron transport problems . \n wigner and wilkins @xcite used a two - body kinematic approach to study potential scattering in a free gas . under the same classic ass...
[ { "content": "the detection of redshifted 21 cm signals from the early universe is attracting many attentions in the study of cosmology , because it provides a window to probe the baryonic gas and the first generation of light sources in the cosmic dark ages ( e.g. furlanetto et al . \n observational projects o...
[ { "content": "[ definition:1.1 ] let @xmath6 and @xmath7 be positive integers . \n a _ block of length @xmath7 in base @xmath6 _ is an ordered @xmath7-tuple of integers in @xmath8 . \n a _ block of length @xmath7 _ is a block of length @xmath7 in some base @xmath6 . \n block _ is a block of length @xmath7 in ba...
[ { "content": "there is a window in the gamma - ray spectrum which has yet to be systematically explored by any telescope . \n current state - of - the - art atmospheric cherenkov telescopes have energy thresholds of 250 gev or greater . \n conversely , the egret experiment on the compton gamma ray observatory d...
[ { "content": "we consider the photosynthetic apparatus of the purple bacterium _ rhodobacter sphaeroides _ using the model described previously @xcite . as shown in fig . \n [ fig : structure ] , it includes antenna complexes lh1 and lh2 that increase the amount of light absorbed per rc . \n two rcs are surrou...
[ { "content": "in june 2013 , brazil faced the largest and most significant mass protests in a generation , comparable in size to the protests that triggered the collapse of the military dictatorship in 1984 @xcite . \n the 2013 protests had been exacerbated by the broader disenchantment of the population towar...
[ { "content": "in many applications it is desirable to shape a beam or pulse of light so that it has specific properties along the optical axis . in particular , for applications in microscopic imaging @xcite , optical tweezers @xcite , laser micro - machining @xcite , dressing of optical filaments @xcite , fila...
[ { "content": "techniques involving laser cooling and trapping of neutral atoms are of immense interest for many scientific applications , including those that are capable of probing new physics @xcite and searching for exotic quantum phase transitions using ultracold atoms @xcite . in particular , trapping ato...
[ { "content": "the behavior of ( finite lumps of ) quark matter is of great interests in cosmology , neutron stars , cosmic ray physics and heavy ion collisions @xcite . \n absolutely stable nonstrange quark matter contradicts ordinary nuclei consisting of neutrons and protons . \n however , the existence of sta...
[ { "content": "the search for supersymmetry and its breaking , in addition to the direct searches at lep , b - factories , tevatron and the large hadron collider ( lhc ) , is actively pursued using the wmap limits on the relic density constraints . however the sensitivity of the lightest supersymmetric particle ...
[ { "content": "in this paper we investigate the computational complexity of some problems in three - dimensional topology and geometry . \n we show that the problem of determining a bound on the genus of a knot in a 3-manifold , is * np*-complete . using similar ideas , \n we show that deciding whether a curve i...
[ { "content": "hints of direct detection of dark matter ( dm ) currently exist from two experiments . \n there is a long - standing observation of an annual modulation in the signal observed by dama @xcite , whose statistical significance is beyond question . \n last year the cogent experiment reported excess ev...
[ { "content": "one of the important open problems in the physics of the quantum hall effect ( qhe ) @xcite@xcite is the complete understanding of the hierarchical hall plateaus , whose filling fractions fall beyond the laughlin sequence @xmath1 @xcite . \n there are two kinds of theoretical descriptions availabl...
[ { "content": "in the mixed state , the magnetization of superconductors is a combination of two different contributions , @xmath6 and @xmath7 . \n @xmath6 is the equilibrium ( or reversible ) magnetization@xcite and @xmath7 is the irreversible magnetization . \n the former is caused by the equilibrium surface c...
[ { "content": "cataclysmic variable stars ( cvs ) are close binaries consisting of a white dwarf primary that accretes matter from a secondary star via roche lobe overflow . \n the secondary is more extended than the white dwarf , and usually resembles a low - mass main - sequence star . \n cvs have a rich pheno...
[ { "content": "molecular quantum systems are described by an unbounded self - adjoint operator , the schrdinger operator @xmath0 acting on the hilbert space of complex - valued square - integrable functions @xmath1 . here \n , @xmath2 is a small positive parameter related to the inverse square root of the averag...
[ { "content": "the problem of formulating supersymmetric theories on lattices has a long history going back to the earliest days of lattice gauge theory . \n however , after initial efforts failed to produce useful supersymmetric lattice actions the topic languished for many years . indeed a folklore developed t...
[ { "content": "the propagation of an electron beam in a two - dimensional degenerate electron gas ( 2deg ) can be used to study the role of electron - electron ( e - e ) collisions in reduced dimensions , see e.g. refs . \n of main interest are `` high - energy '' beams with a typical electron energy that exceed...
[ { "content": "the process of galaxy formation involves the interplay of many non - linear phenomena that span a wide range of length and time - scales . a galaxy like our milky way , for example , forms from a region that initially extends to roughly one comoving mpc , yet its angular momentum is determined by ...
[ { "content": "low - dimensional spin - gapped quantum systems are of current interest since they show interesting ground states and a variety of unconventional low - lying excitations . examples of such systems include spin-1 haldane chains @xcite , spin-@xmath2 even - leg ladders@xcite and spin-@xmath2 alterna...
[ { "content": "for nearly integrable hamiltonian systems , the set of kam tori has a relatively large lebesgue measure in phase space . for systems with two degrees of freedom \n , it implies the dynamical stability : all orbits are stable , the variation of actions stays small for all the time as each 2-dimensi...
[ { "content": "large transverse single spin asymmetries ( ssas ) have been observed in different hadronic reactions and these observations generated a lot of interest . \n such experiments are conceptually rather simple , but their theoretical description proved to be challenging as the leading - twist contribut...
[ { "content": "barakat has recently proposed a shifted large \n dimension expansion ( slnt ) implemented by means of the asymptotic iteration method ( aim)@xcite . according to the author , this alternative approach corrects `` serious difficulties '' of previous applications of that successful perturbation theo...
[ { "content": "helical dirac fermions , massless relativistic charged particles with spin locked to their linear momentum , are proposed to exist on the surface of three dimensional topological insulators ( tis)@xcite and later confirmed in experiments@xcite on samples like bi@xmath1se@xmath2 and bi@xmath3sb@xma...
[ { "content": "scale - dependence of the spectrum of the curvature perturbation has been used to discriminate inflationary scenarios @xcite . in addition to the scalar mode , recent discovery of the b - mode polarization@xcite \n has ignited studies of the tensor modes . \n although the detection of the inflati...
[ { "content": "hm thanks mike barnett , john ellis , lance dixon , ian hinchliffe , and kam - biu luk for useful conversations . \n we thank axel kwiatkowski for comments on the manuscript . \n adg was supported by cnpq ( brazil ) , and hm was supported in part by the director , office of energy research , offic...
[ { "content": "a significant amount of time and computing resources are spent on calculating events at hadron colliders . \n whether a theoretical calculation of matrix elements , or an experimental simulation of events with detector effects , one common element is the evaluation of parton distribution functions...
[ { "content": "we present results of a detailed comparison between the parameters characterizing the structural and dynamical properties of a sample of 29 simulated disk - like objects ( dlos ) and those measured in observed spiral galaxies . \n the properties we focus on are the bulge and disk structural parame...
[ { "content": "radiative corrections to jet production in @xmath6 annihilation have been known for a long time @xcite . \n previous calculations were , however , performed for massless quarks . in most practical applications \n this is sufficient , since at relatively low energy , the @xmath7 fraction is strongl...
[ { "content": "the origin of the electroweak symmetry breaking ( ewsb ) remains a mystery . in the standard model ( sm ) , the ewsb requires a negative mass squared for the higgs doublet scalar field , whose magnitude is set by hand . \n we expect a fundamental theory which naturally gives the negative mass squa...
[ { "content": "the past decade has witnessed a tremendous resurgence of interest in the physics of quantum many - body systems out of equilibrium . \n this growth has been partly motivated by remarkable developments in experiments , especially in experiments on cold atoms , which made the explicit observation of...
[ { "content": "the investigation of resonant light - matter interaction has received considerable attention during the last decades and remarkable experimental progresses in this field has opened the door to whole new experimental opportunities @xcite . \n these developments are not only interesting from a funda...
[ { "content": "the theoretical problem of polymer chain collapse in poor solvents has received much attention over the past decades , both from analytic @xcite and numerical approaches @xcite . \n this generic collapse , often called the `` coil - globule transition '' , is well - understood as a local version...
[ { "content": "supernovae of type ibn ( sne ibn ) are considered a rare group of stripped - envelope core - collapse ( cc ) events which interact with h - depleted circumstellar material ( csm ) . \n the spectra of sne ibn are characterized by relatively narrow lines of he i in emission ( hence the designation a...
[ { "content": "the realization of manifolds as branched coverings is a classical long - standing problem in topology . a well - known theorem of alexander @xcite states that every oriented , closed , smooth @xmath2-dimensional manifold is a branched covering of @xmath3 . \n strong restrictions for the existence...
[ { "content": "non - relativistic quantum chromodynamics(nrqcd ) factorization formalism@xcite is an useful tool for analyzing the inclusive production of the heavy quarkonium . according to it \n , the cross section is expressed as a sum of products of short - distance coefficients and nrqcd matix elements . \n...
[ { "content": "two - dimensional ( 2d ) carbon crystals are hosts for dirac - type electrons , whose unusual properties have been studied extensively in graphene monolayers produced by mechanical exfoliation from graphite.@xcite a close relative of graphene , a 2d honeycomb lattice of si atoms called \n _ silice...
[ { "content": "in recent years , significant efforts were dedicated to realize artificial micro and nano swimmers that locomote at low reynolds numbers , and that are further able to perform tasks , like cargo delivery @xcite . \n swimmers driven by periodic conformational changes have to break the time - reve...
[ { "content": "in the almost 25 years since the pioneering work of polyakov @xcite and susskind @xcite much effort has been devoted to attempts to understand both the basic physics and quantitave features of the deconfining phase transition of qcd . the high temperature phase , i.e. for temperatures well abov...
[ { "content": "the advances in fabrication technologies have made it possible to experimentally fabricate one dimensional electronic structures@xcite@xcite . \n this has naturally resulted in an increasing interest in theoretical investigations of such structures@xcite@xcite . \n the resulting one dimensional el...
[ { "content": "the existence of broad absorption line quasars and blue shifted absorption lines in seyferts provides clear evidence that high speed outflows of gas are common in agn . \n the basic questions one would like to have answered by a theoretical model for these outflows are : * what is the origin of...
[ { "content": "the discriminants of the chebyshev @xmath0 and @xmath1 polynomials are given by simple and elegant formulas : @xmath2 and @xmath3 is there anything comparable for linear combinations or integral transforms of chebyshev polynomials ? for a special type of linear combination , formula was generalize...
[ { "content": "the early arrival of a neutrino burst from the 1987a supernova @xcite still motivates speculations about a possible superluminal nature of neutrinos , even if it is generally assumed that the delay in the arrival of electromagnetic radiation ( light ) is caused by the time the shock wave from the...
[ { "content": "the series - parallel networks are one of the simplest models of real networks . \n then even if it is at last one century old ( mac mahon 1892 ) , it still occurs frequently in both theoretical or applied studies . \n some questions like the reliability ( feo and johnson 1990 ) , the survival pro...
[ { "content": "in the last years , the literature on networks has been characterized by exponential growth . \n empirical and theoretical contributions in very diverse fields such as physics , sociology , economics , etc . have increasingly highlighted the pervasiveness of networked structures . \n examples rang...
[ { "content": "first , liu et al . ( 2015 ) note correctly that we failed to cite a previous large - scale empirical study with similar aims . \n in particular , liu ( 2008 ) compares average dependency length in attested sentences of 20 languages to dependency length in random trees . not acknowledging this imp...
[ { "content": "two closed riemannian manifolds @xmath1 and @xmath2 are said to be _ isospectral _ if the laplace beltrami operators acting on functions on @xmath1 and on @xmath2 have the same spectrum , equivalently if the spectral zeta functions @xmath9 and @xmath10 are equal . \n the manifolds are said to be ...
[ { "content": "recent years have seen progress in our understanding of both the type ii supernova mechanism and heavy element nucleosynthesis . \n an intriguing suggestion has been that the origin of the @xmath0-process is in the neutrino - driven wind of a young neutron star ( woosley & hoffman 1992 , see also ...
[ { "content": "lepton flavor violating ( lfv ) tau decays provide one of the most efficient indirect tests of supersymmetric ( susy ) models with extended neutrino sector , if the seesaw mechanism for neutrino mass generation is implemented . here \n we assume susy - seesaw models with the mssm particle content ...
[ { "content": "superclusters ( scs ) are the ultimate manifestation of hierarchical large - scale structure ( lss ) in the universe . with a median major axis of @xmath3mpc ( jaaniste et al . \n 1998 ) , they are the most massive and the largest possibly bound structures known \n . `` great walls '' of galaxies ...
[ { "content": "a @xmath1-manifold is called _ virtually fibred _ if it has a finite cover which is a surface bundle over the circle . a link in a connected @xmath1-manifold is said to be _ virtually fibred _ if its exterior is a virtually fibred @xmath1-manifold . \n thurston conjectured that all closed hyperbol...
[ { "content": "neutron stars are associated with the most diverse and energetic phenomena in the universe , from gamma - ray bursts to the emission of gravitational waves and from periodic millisecond radio signals to month - long x - ray outbursts . \n the strength and even the occurrence of some of these pheno...
[ { "content": "although the determination of capacity region of the interference channel ( ic ) has been a long standing open problem , several interesting recent results shed light on the problem from various perspectives . among these \n we may cite the capacity region obtained for special cases @xcite , or ob...
[ { "content": "recently , it has been growing that the concern with elastic surface models of helfrich and polyakov - kleinert @xcite . \n a considerable number of studies have been conducted on the phase transition between the smooth phase and the crumpled one over the past two decades @xcite . \n curvature ene...
[ { "content": "an important unsolved problem in the study of active galactic nuclei ( agn ) is how the central massive black hole is fueled . in particular , \n if the primary fuel source is interstellar gas and dust in the host galaxy , how is that material transported from kiloparsec scales into the central pa...
[ { "content": "one of the most extensively studied phases of liquid crystals , both for basic research and for applications , is the smectic - c * ( smc * ) phase of chiral molecules . in this phase , \n the molecules lie in layers and are tilted with respect to the layer normal direction . \n the combination of...
[ { "content": "the theory of the cuprate high temperature superconductors remains one of the most important and daunting problems in condensed matter physics . \n the high @xmath2 cuprate superconductors are layered materials with relatively complex structures and chemical composition . \n they are highly correl...
[ { "content": "the design of the irs was driven by the objective of maximizing sensitivity given the 85 cm aperture of the spitzer space telescope @xcite and the then - available detectors . \n dividing the optical trains of the irs into four separate spectrographs substantially reduced the complexity and overal...
[ { "content": "the phenomenon of entanglement has drawn considerable attention since its inception in einstein , podolsky and rosen s ( epr ) thought experiment @xcite . \n entanglement describes a system of particles that have one or more highly correlated quantum properties , such as position , momentum , spin...
[ { "content": "in both the weak value ( wv ) and null value ( nv ) measurement protocols there are two consecutive measurements . generally , using binary detectors ( `` click '' or `` no click '' ) \n , we would have four possible outcomes at any given attempt : ( `` click '' , `` click '' ) , ( `` click '' , `...
[ { "content": "graphene , an atomic layer of graphite that supports massless dirac fermions , displays remarkable and promising electronic properties . \n recently there is increasing interest in bilayers and few layers of graphene , where the physics and applications of graphene become richer , with , e.g. , a ...
[ { "content": "in recent years , power grids are experiencing a revolutionary technological transformation . \n one significant feature is that electric appliances can receive realtime power price via communication networks and optimize its power consumption level according to the current power price . \n then ,...
[ { "content": "learning in a single layer of feed forward neural network with binary synapses has been studied either based on statistical mechanics analysis @xcite or in algorithmic aspects @xcite . \n this network can learn an extensive number @xmath0 of random patterns , where @xmath1 is the number of synap...
[ { "content": "the dynamics of multimode lasers has occupied a prime place in the investigation of laser behaviour since , starting from their first realizations @xcite , lasers operated on several longitudinal ( and at times transverse ) cavity modes . \n indeed , only with further work did it become possible ...
[ { "content": "in @xcite it was found that the distances on a one dimensional lattice in a noncommutative geometry differ from their classical analog . in noncommutative geometry the distances on a one dimensional lattice are given by @xmath0 where @xmath1 , @xmath2 , and @xmath3 is the lattice constant , with u...
[ { "content": "the work of amari and others @xcite on the use of methods of riemannian geometry to analyze statistical estimation problems is of increasing interest to researchers in signal processing . \n this methodology , known as _ information geometry _ , provides a rigorous framework for measuring the powe...
[ { "content": "the discovery of several peculiar type ia supernovae ( sne ia ) has drawn the attention both to the photometric and spectroscopic diversity among this class of otherwise homogeneous transients . \n the dispersion of the luminosity decline rate relation @xcite can be explained by an additional co...
[ { "content": "in the @xmath5 limit the behaviour of quantum systems can be expressed in terms of the classical phase space trajectories . \n for one dimensional scalar problems the wkb method @xcite yields semi - classical wavefunctions and energy levels , an approach that can be generalized to both integrable ...
[ { "content": "it is a well known fact that solutions of equations determining the motion of a homogeneous inviscid fluid possess a remarkable property the lines of the vorticity field are frozen - in @xcite . \n mathematical reason for this is the so called relabeling symmetry of fluids that provides necessary...
[ { "content": "the anderson localization of light has been one of the most fascinating phenomena in condensed matter physics since the mid - eighties @xcite . like electron systems this phenomenon finds its origin in coherent multiple scattering which slows down diffusion of photons and eventually brings them to...
[ { "content": "wall dynamics in thin magnetic strips or wires driven by either applied external magnetic fields or electric currents has been an active field of research during recent years , due to both the fundamental aspects of the underlying physics as well as due to the potential spintronics applications @x...
[ { "content": "the field of extrasolar planet research is growing rapidly with more than 1000 planets found ( as of november , 2013 ) . \n many of these objects are large and/or close to their host star . \n these large extrasolar planets have come to be known as extra - solar giant planets ( egps ) and those in...
[ { "content": "the nature of halo gas ( a.k.a . \n circumgalactic medium ; cgm hereafter ) , on galactocentric distances of @xmath1 kpc , is a problem of significant ongoing interest in galaxy formation . \n halo gas links galaxies from the intergalactic medium and is the conduit for exchange of matter energy de...
[ { "content": "given a graph @xmath0 and a natural number @xmath1 , there is a game called the _ c - coloring game _ of @xmath0 and it is known that there is a perfect deterministic strategy for this game if and only if @xmath0 has a c - coloring . thus , the _ chromatic number _ of @xmath0 , @xmath2 can be char...
[ { "content": "a very efficient way to calculate the evolution of the parton densities in deeply inelastic scattering consist in solving the evolution equations in mellin@xmath2 space @xcite . with the advent of the 3loop anomalous dimensions \n @xcite the scaling violations of the deep \n inelastic structure f...
[ { "content": "a measurement of @xmath5 opens an important window on the non - perturbative strong physics involving heavy quarks . \n the basic framework of the theory is well understood , however , there is still much speculation - predictions for the width range from @xmath34 to @xmath35 @xcite . \n we know t...
[ { "content": "one of the basic premises in the polymer physics is that the bonds connecting neighboring monomer units are uncorrelated beyond the persistent length along the chain @xcite . \n this property allows us to consider only a flexible chain as long as we are interested in large scale properties of a po...
[ { "content": "actual problems of science , engineering and society can be so complex , that their mathematical portrait requires more than three dimensions . \n quantum world gives us a perfect example of essentially high dimensional systems , described by a joint wavefunction ( or density matrix ) of all part...
[ { "content": "every animal must eat in order to survive . for certain predator species this necessarily implies to chase and bring down a sufficient amount of prey . \n with predators always on the lookout for food , prey must constantly be on the alert . while scattering and zigzagging to confuse the predator ...
[ { "content": "the emergence of synchronization in ensembles of dynamical units is a universal phenomenon that is vital to the functionality of many natural and man - made systems @xcite . \n in addition to the ability of the individuals that make up such systems to operate in unison , in many instances the par...
[ { "content": "observations with the rossi x - ray timing explorer ( rxte ) of neutron - star low - mass x - ray binaries ( lmxbs ) have led to the discovery of kilohertz quasi - periodic oscillations ( khz qpos ) in about 20 sources ( van der klis 2000 for a review ) . \n the khz qpo frequency is always correla...
[ { "content": "alice ( a large ion collider experiment ) is a general - purpose heavy - ion experiment designed to study the physics of strongly interacting matter and the quark - gluon plasma in nucleus - nucleus collisions at the lhc @xcite . \n it will study the global properties with hadron production and co...
[ { "content": "the long - distance color - dependent forces among quarks and gluons are the key quantities for the understanding of the internal structure of hadron as well as color confinement dynamics . \n the quarks and gluons are described in the quantum chromodynamics ( qcd ) , and have a color charge based...
[ { "content": "owing to the progress of experimental techniques , information concerning the excited states of light unstable nuclei has rapidly increased . \n recently , exotic clustering in the light unstable nuclei has become one of the attractive subjects in 3experimental and theoretical research . since \n ...
[ { "content": "in this paper , we are concerned about the construction problem of homologically interesting connected quasi - fuchsian subsurfaces in closed hyperbolic @xmath0-manifolds . \n we show that in a closed hyperbolic @xmath0-manifold , it is always possible to construct an oriented compact connected @x...
[ { "content": "the inflationary paradigm@xcite proposed around @xmath6 was a giant leap towards going beyond the standard model of big - bang cosmology . since then there has been a plethora of inflationary models and it is still increasing @xcite . \n however , with the high precision observational cosmology @x...
[ { "content": "non - axisymmetric deformations of rapidly rotating bodies are rather generic phenomena in nature and can appear in a wide class of systems . \n particularly interesting within an astrophysical context are those deformations taking place in fluids that are self - gravitating and the literature on ...
[ { "content": "rolling scalar fields are a mainstay of modern cosmology . \n this is perhaps best - illustrated by the inflationary paradigm @xcite , in which most implementations involve a scalar field rolling towards the minimum of its potential in such a way that the potential energy of the field is the domi...
[ { "content": "learning linear separators is one of the central challenges in machine learning . \n they are widely used and have been long studied both in the statistical and computational learning theory . \n a seminal result of @xcite , using tools due to @xcite , showed that @xmath0-dimensional linear separa...
[ { "content": "rapidly developing trend in nonperturbative approach to quantum gravity and string theory , which is based on holographic ideas of ads / cft correspondence @xcite , involves vasiliev theory of interacting higher spin fields @xcite and naturally leads to the notion of conformal higher spin fields (...
[ { "content": "the most interesting idea associated with composite quantum systems is quantum entanglement . \n a pair of particles is said to be entangled in quantum mechanics if its state can not be expressed as a product of the states of its individual constituents . \n einstein , podolsky and rosen@xcite wer...
[ { "content": "in this section , we outline the derivation of the tunneling current in eq . \n ( 2 ) of the main text . \n this standard calculation is included to make the presentation self contained and closely follows the derivation for @xmath107 green functions presented in ref . \n we describe the tunneling...
[ { "content": "the software projects for high energy physics experiments are international with often several hundreds programmers from institutions world - wide involved . \n the coordination of distributed software development is an important factor of success . \n the automated nightly builds become a major c...
[ { "content": "recently , @xcite reported the discovery of g2 , an extremely red object with spatially resolved br-@xmath1 emission . \n the object was interpreted as a @xmath9 earth mass gas cloud based upon an inferred low dust temperature , observed elongation of the br-@xmath1 emission along the object s d...
[ { "content": "microlensing describes gravitational lensing of a source whose multiple images are not resolved . \n two fundamental microlensing observables are the total magnification ( photometry ) and image centroid shift ( astrometry ) of images of a lensed source . \n these observables have important astrop...
[ { "content": "our galaxy contains over two hundred known supernova remnants ( snrs ) , which are an important source of energy and heavy element release into the interstellar medium ( ism ) , and are also thought to be the sites of the acceleration of cosmic rays . over the last twenty years i have produced sev...
[ { "content": "in the last few decades it has become apparent that many problems in information theory have analogies to certain problems in the area of statistical physics of disordered systems . \n such analogies are useful because physical insights , as well as statistical mechanical tools and analysis techni...
[ { "content": "there is a growing interest in extended charge transport models for semiconductor devices . \n our paper emerges from the the fact that today s submicron semiconductor devices like e.g. mesfets and hemts are operated under strong electric fields and at high frequencies . \n information transmissio...
[ { "content": "the geometric structure of a random coordinate projection of a class of functions plays an important role in empirical processes theory , where it is used to determine whether the uniform law of large numbers or the uniform central limit theorem is satisfied by the given class . \n indeed , if @xm...
[ { "content": "topological landau - ginzburg models are an important class of 2d topological field theories ( 2d tfts ) . when coupled to topological gravity , they give soluble examples of noncritical string backgrounds . \n they are also closely related to topological sigma - models describing superstring prop...