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[ { "content": "multiwavelength follow - up of gamma - ray burst ( grb ) afterglows has revolutionized grb astronomy in recent years , yielding a wealth of information about the nature and origin of grbs ( cf . \n klose 2000 ; kulkarni et al . \n 2000 ; galama 2000 ; castro - tirado et al . \n 1999 and references...
[ { "content": "low - mass x - ray binaries ( lmxbs ) consist of an accreting compact star , either a black hole or a neutron star ( ns ) and a low - mass ( @xmath6 ) donor star , in which mass transfer proceeds via roche - lobe overflow ( rlof ) . \n there are about 200 lmxbs in the galaxy @xcite . \n the format...
[ { "content": "cognitive radio is a subject of intense interest motivated by its potential for better usage of spectral resources . to explore the fundamental limits of such channels , and to make use of powerful techniques developed for capacity of channels with state known at transmitter , some information - t...
[ { "content": "this work was partially supported by the massey postdoctoral foundation , new zealand . \n 99 p. amaudraz et al . , ; m. arneodo et al . , ; m. arneodo et al . , . \n a. baldit et al . , na51 collaboration , . \n e. a. hawker et al . , \n e866/nusea collaboration , . \n k. ackerstaff et al . , her...
[ { "content": "graphs considered in the paper are finite , without loops or multiple edges . in a graph @xmath13 , \n @xmath14 and @xmath15 ( @xmath16 and @xmath17 ) denote the vertex set and the edge set of @xmath7 , respectively . for undefined concepts and notation \n we refer the reader to @xcite . for tw...
[ { "content": "photon - tagged jets in heavy ion collisions provide the ideal framework to study the interaction of energetic partons traversing a strongly interacting , hot and dense medium like the quark - gluon plasma @xcite . \n annihilation ( @xmath2 ) or compton scattering ( @xmath3 ) results in @xmath4jet...
[ { "content": "massive stars affect the structure and the evolution of the clouds around them substantially . globules and clouds with bright rims and cometary appearance \n are found in the vicinity of many nearby ob associations e.g. vela ( gum nebula ; sridharan 1992 ) , orion ( bally et al . 1991 ) , cepheus...
[ { "content": "batygin & brown ( 2016 ) showed that a hypothetical planet ( `` planet nine '' ) in the outer solar system can explain several otherwise intriguing orbital properties of distant kbos . \n recently , bailey et al . \n ( 2016 ) and gomes et al . \n ( 2016 ) suggested that planet nine , which has an ...
[ { "content": "for decades , ecologists have used entropy - like quantities as measures of biological diversity . \n the basic premise is that given a biological community or ecosystem containing @xmath2 species in proportions @xmath3 , the entropy of the probability distribution @xmath4 indicates the extent to ...
[ { "content": "in this section we discuss in more detail the derivation and the validity of the effective continuum model given in eq . \n ( 2 ) in the main text . for this analysis \n we assume that the motion of atoms is described by classical trajectories @xmath135 , which is well justified for the parameter ...
[ { "content": "a great deal of attention has been devoted to non - contact friction between nanostructures , including , for example , the frictional drag force between two - dimensional quantum wells @xcite , and the friction force between an atomic force microscope tip and a substrate @xcite . in non - cont...
[ { "content": "the cern large hadron collider ( lhc ) and the upcoming international linear collider ( ilc ) are expected to perform precision tests of the standard model ( sm ) and explore the new physics at the tev scale @xcite . \n the large extra dimensions ( led ) model is one of the scenarios beyond the sm...
[ { "content": "quasi - one dimensional ( 1d ) metals are interesting materials because of their tendency to undergo a phase - transition inevitably due to the inherent instability called the peierls instability @xcite . \n this instability , originating from the electron - phonon interaction leads to a metal - i...
[ { "content": "the complexity in the study of the non - equilibrium dynamics in isolated many - body quantum systems is at first sight overwhelming . at the same time \n , many interesting questions naturally arise when a system is brought out of equilibrium , for example regarding the nature of quantum decohere...
[ { "content": "darwinian adaptation spontaneously emerges from the processes of mutation , reproduction and competition , and these features need to be mirrored in any model of adaptation . in models , spontaneous mutations can be represented by a stochastic jump process in a `` fitness space '' . \n reproductio...
[ { "content": "in the mainstream economy , the cornerstone for mathematical modeling of financial markets is the efficient market hypothesis ( emh)@xcite . a market is said to be efficient if all the existing information has affected the prices and any new random information influences the asset prices randomly ...
[ { "content": "concept inventories are used to assess learning in many areas of physics education @xcite . when used to determine the effectiveness of educational innovations they may contribute to the teaching development cycle . since the literature on special relativity education research does not include a c...
[ { "content": "this work was supported by research funds of chonbuk national university ( 2004 ) and the korea research foundation grant ( moehrd ) ( r14 - 2002 - 059 - 01000 - 0 ) ( hh ) , and by the research grants council of the hksar under project 2017/03p and hong kong baptist university under project frg/0...
[ { "content": "the superior physical properties of graphene @xcite and its compatibility with two - dimensional lithographic processes have stimulated intense research of graphene - based electronics for `` beyond si - cmos '' technology @xcite . \n one of the major challenges for realizing the graphene - base...
[ { "content": "in high mass x - ray binaries ( hmxbs ) a neutron star or black hole orbits a massive early - type star and accretes matter either via roche - lobe overflow or from the stellar wind which powers the x - ray emission ( for recent reviews see nagase 1989 , white et al . \n 1995 , bildsten et al . \n...
[ { "content": "when coherent optical or microwave wave trains are interchanged between three or more freely orbiting spacecraft , and phase or frequency differences of all incoming and outgoing beams recorded , there is a closure that allows subsequent elimination of all source fluctuations ( `` laser noises '' ...
[ { "content": "water is a key element for life , but nevertheless its properties arising from its unique structure are not fully understood yet . \n a large amount of published works explored the several phases of water and many efforts have been spent by the scientific community in order to match experimental f...
[ { "content": "in general , level splitting due to structure inversion asymmetry , sia , known as rashba s - o splitting@xcite is inversely proportional to the energy gap . \n s - o coupling is zero for s - like conduction bands and strong in p - like hole states . \n however , mixing of the conduction subbands ...
[ { "content": "asymptotic giant branch ( agb ) carbon stars are produced following @xmath1 dredge - up in thermally pulsing stars ( e.g. iben & renzini 1983 ) . \n the star changes from oxygen- to carbon - rich when sufficient carbon has been mixed - in with the stellar mantle to yield an abundance ratio c / o@...
[ { "content": "merging the exquisite tunability of electronic nanostructures with ferromagnetic materials in nanospintronic devices bears great potential for applications and fundamental investigations . \n electronic devices using the electron spin in magnetic field sensing are very successful , for example in ...
[ { "content": "lets consider that @xmath0 is a compact riemann surface . \n then we can define a green s function with respect to a metric and a divisor on @xmath0 . \n suppose that @xmath1 is a hyperbolic 3 - manifold with infinite volume and having compact riemann surfaces @xmath2 as its conformal boundaries a...
[ { "content": "this work is supported in part by the national natural science foundation of china . \n see , e.g. , t. fukuyama and h. nishiura , hep - ph/9702253 ; r. n. mohapatra and s. nussinov , _ phys . \n d _ * 60 * , 013002 ( 1999 ) ; z. z. xing , _ phys . \n d _ * 61 * , 057301 ( 2000 ) ; _ phys . \n d _...
[ { "content": "the existence of non - baryonic dark matter is supported by varied cosmological measurements . of great relevance \n are the values of the matter and energy densities of the universe at the present time . \n these densities can be determined by means of several cosmological data : the temperature ...
[ { "content": "supernova remnants ( snrs ) have long been believed to be the source of hadronic galactic cosmic rays ( gcrs ) up to energies of the ` knee ' , near @xmath1 ev , of the cosmic ray ( cr ) spectrum . \n supernova explosions forming collisionless shock waves induce the shocked gas and relativistic pa...
[ { "content": "the accelerated expansion of the universe , which is today observed , shows that cosmological dynamic is dominated by the so called dark energy which gives a large negative pressure . \n this is the standard picture , in which such new ingredient is considered as a source of the _ right hand side ...
[ { "content": "a prolonged , quiescent period followed the creation of the universe . eventually , minuscule dark matter density perturbations initiated the collapse of dark matter , forming gravitational potential wells and giving rise to the condensation of primordial gas clouds ( e.g. , * ? ? ? * ) . \n this ...
[ { "content": "one goal of relativistic heavy ion collision experiments is to explore and map the qcd phase diagram as a function of temperature and baryon chemical potential . \n recent theoretical developments suggest that a key qualitative feature , namely a critical point which in a sense defines the landsca...
[ { "content": "in this paper we study fractal geometric aspects of the limit set @xmath3 of a normal subgroup @xmath0 of some given non - elementary kleinian group @xmath1 acting on @xmath4-dimensional hyperbolic space @xmath5 . \n we always assume that @xmath2 contains a coset which is represented by some loxod...
[ { "content": "the critical behavior of two - dimensional frustrated spin models with noncollinear or canted order has been the object of intensive theoretical and experimental studies , being of prime interest for those investigating layered magnetic systems with special structures and superconducting josephson...
[ { "content": "the dating of the oldest stars in the milky way allows us to infer the early history of star formation in our galaxy , and hence , provides us with important information regarding the formation of the milky way . \n a great deal of attention has been paid to the ages of globular clusters ( see for...
[ { "content": "due to the fact , that experimental setups are usually not suited to cover the complete complete phase space , event generators are very important tools for experiments . \n practically , the experimental physicist needs a tool in hand which allows to control almost all kinematic variables with a ...
[ { "content": "observations of black hole demographics locally is increasingly providing a strong constraint on models that explain the assembly and growth of black holes in the universe . \n the existence of a tight relation between the velocity dispersion of bulges and the mass of the central black hole has be...
[ { "content": "many problems in science and engineering require the sorting , or ordering , of large amounts of multivariate data . since there is no canonical linear criterion for sorting data in dimensions greater than one , many different methods for sorting \n have been proposed to address various problems (...
[ { "content": "einstein proposed the idea of teleparallelism , or _ fernparallelismus _ ( aka _ absolute parallelism _ , _ distant parallelism _ ) , in order to unify gravity and electromagnetism @xcite . \n unlike general relativity , spacetime in teleparallelism is equipped with a connection with zero curvatu...
[ { "content": "artificial neural networks are now becoming a more popular tools for handling astronomical data . \n it is very important to have some automatic means of analyzing large databases like the surveys and upcoming space missions which would release terabytes of data to the community . \n that is why ,...
[ { "content": "quantum discord ( qd ) @xcite has recently been identified as a general resource in quantum information protocols ( see , e.g. , refs . \n @xcite ) . in quantum computation \n , it has been conjectured as the origin of speed up in the deterministic quantum computation with one qubit ( dqc1 ) mix...
[ { "content": "attempts to describe granular media in terms of a more fundamental underlying statistical mechanics have met with considerable success . as a prototype for this approach , in the preceding paper @xcite standard linear response methods from normal fluids have been applied , _ mutatis mutandis _ \n ...
[ { "content": "the dicke superradiance model @xcite as a test - bed for mean - field like phase transitions @xcite has received renewed attention recently , in particular due to its successful implementation in cold - atom experiments @xcite and optical setups of cavities and lasers @xcite . \n much progress has...
[ { "content": "gait optimization algorithms for locomoting systems must contend with a number of nonlinear effects , including : shape - dependent system dynamics ( and thus a control structure that depends on the state of the controller and not just the plant ) ; and history - dependent input - output mappings ...
[ { "content": "more than twenty years ago , brezin , le guillou and zinn - justin ( bgz ) studied the phase transition of a cubic anisotropic system by means of renormalization group equations @xcite . within a @xmath4-expansion \n , they found that to lowest nontrivial order in @xmath5 , the only stable fixed p...
[ { "content": "the production of lepton pairs in hadron collisions @xmath3 proceeds through an intermediate virtual photon via @xmath4 , and the subsequent leptonic decay of the virtual photon . \n traditionally , interest in this drell - yan process has concentrated on lepton pairs with large mass @xmath0 which...
[ { "content": "it has been one of the central goals of human knowledge to understand the position of the earth in the universe . \n a lot of effort has been spent to derive the structure and the history of formation and evolution of our galaxy . doing \n this is a particularly difficult task , simply because the...
[ { "content": "the discovery of gliese 229b ushered in a new chapter in stellar astronomy by penetrating unambiguously below the main sequence edge ( nakajima et al . 1995 ; oppenheimer et al . \n 1995 ) . in gliese 229b , \n absorption in the far infrared due to collision - induced absorption ( cia ) by h@xmath...
[ { "content": "consider a network @xmath0 , where @xmath1 denotes the set of vertices in @xmath2 , and @xmath3 denotes the set of edges in @xmath2 . \n a vertex in @xmath2 is said to be a _ source _ if it is only incident with outgoing edges , and a _ sink _ if it is only incident with incoming edges . \n often ...
[ { "content": "the electric @xmath6 and magnetic @xmath7 pion polarizabilities characterize the pion s deformation in an electromagnetic field , as occurs during @xmath8 compton scattering . \n they depend on the rigidity of the pion s internal structure as a composite particle , and are therefore important dyna...
[ { "content": "a number of experimental facilities to significantly improve on present sensitivity to the connecting mixing @xmath3 in neutrino oscillations and have access to the cp - violating phase @xmath4 have been discussed in the literature : neutrino factories ( neutrino beams from boosted - muon decays )...
[ { "content": "the great regularity of the tully - fisher relation @xcite has long been thought to originate from a strong mass - velocity relation and a near constancy of mass - to - light ratio . \n the latter requires a fair but not unreasonable amount of regularity in stellar populations . \n put simply , .....
[ { "content": "in the 1970s works by penrose and ammann showed that the euclidean space can be filled gapless and non - overlapping by two or more tiles which are arranged in a nonperiodic way according to matching rules @xcite . \n these quasiperiodic tilings showed a hierarchical structure and long - range ori...
[ { "content": "recently , the belle collaboration performed precise measurements of the @xmath0 reaction cross section for pion - pair invariant masses @xmath1 ranging from 0.8 to 1.5 gev @xcite . owing to the huge statistics and good energy resolution , \n a clear signal from the @xmath3 resonance was first dis...
[ { "content": "lhc experiments provide the unique opportunity to explore some exotic states of heavy quarks . among them , particularly interesting states are those four - quark states consisting of double heavy quarks and double light antiquarks ( or their charge conjugator ) . \n the existence of such states c...
[ { "content": "service - oriented architecture in wsns@xcite makes it possible to rapidly develop new applications . in a service - oriented wsn \n , a typical application requires several different services , e.g. , data aggregation , data processing , decoding , which are provided by service providers that are...
[ { "content": "clusters of 4 comprising several tens of atoms ( i.e. , of characteristic size of a few nm ) are perhaps the simplest quantum few - body system ; their investigation , both theoretical and experimental , has been pursued for a few decades now . \n early theoretical studies yielded considerable inf...
[ { "content": "99 t. hayakawa , n. iwamoto , t. shimizu , t. kajino , h. umeda , and k. nomoto , phys . \n lett . * 93 * , 161102 ( 2004 ) . \n a. heger , e. kolbe , w.c . \n haxton , k. langanke , g. martinez - pinedo and s.e . \n woosley , phys . \n b * 606 * , 258 ( 2005 ) . \n myung - ki cheoun , eunja ...
[ { "content": "the theory of polarons , the quasiparticles describing electrons in a polarizable medium , dates back to the early days of quantum theory @xcite , and it has been an active field of research ever since @xcite . in this paper \n we will develop a microscopic theory of intersubband polarons , tha...
[ { "content": "recently , there has been an upsurge of research interests in radio frequency ( rf ) energy harvesting / scavenging technique ( see @xcite and references therein ) , which is the capability of converting the received rf signals into electricity . \n this technique has become a promising solution ...
[ { "content": "the construction and study of area preserving mappings has led to a deeper understanding of apparently complex dynamics , especially of hamiltonian chaos . \n the maps range from abstract models @xcite such as the cat maps and the baker map to more generic ones . \n one of the most well studied of...
[ { "content": "metastable helium has been the subject of many experimental investigations at cold and ultracold temperatures . \n these include various methods of laser cooling and trapping , production of an intense beam @xcite , optical collisions in magneto - optical traps and measurements of two - body trap ...
[ { "content": "for the theoretical calculations , we used a large scale atomistic tight binding approach with spin resolved sp@xmath77d@xmath78s * atomic orbitals with nearest neighbor interactions@xcite . \n typical simulation domains comprise of 1.5 - 2 million atoms to capture realistic sized dots . \n spin -...
[ { "content": "electromagnetic processes have always provided invaluable probes of the strong interactions , the most prominent example being the deep inelastic scattering experiments in the early 1970s which eventually established qcd as the fundamental theory of the strong interactions . among the current chal...
[ { "content": "transition metal dichalcogenides ( tmds ) @xmath15 , where @xmath3 is a transition metal such as w and mo , and @xmath16 is a chalcogen such as s , se , and te , receive considerable attention due to their important mechanical and electronic properties@xcite . \n molybdenum disulfide mos@xmath0 , ...
[ { "content": "clusters of galaxies are the largest gravitationally bound and collapsed systems in the universe . \n they are filled with x - ray emitted hot gas with the temperature of @xmath010 kev . \n high - resolution x - ray observations have revealed that the hot gas in many cluster cores is not smoothly...
[ { "content": "it is well known that gamma - ray burst ( grb ) afterglow decays as a power - law @xmath1 . \n the temporal decay index @xmath2 , together with the spectral index , provides us precious information about grb jets and their environment . in the pre - swift era \n afterglow observations start typica...
[ { "content": "the internet can be viewed as an autonomous system in which the nodes are heterogeneously connected without any central control . in the internet , \n the unit of information is a packet , and many researchers have been investigating the statistical properties of packet density fluctuations . i...
[ { "content": "an interesting feature of a non @xmath16-wave fermi condensate is that it may have plural superfluid phases , originating from active orbital and/or spin degrees of freedom . indeed \n , this possibility has experimentally been confirmed in various fermi superfluid systems , such as heavy fermion ...
[ { "content": "up to the present , most ground state charm baryons containing one @xmath0-quark , from @xmath1 to @xmath2 , have been observed @xcite . \n there have been much efforts to find excited charm baryons and recently the experimental evidences for @xmath3 @xcite , @xmath4 and @xmath5 @xcite are reporte...
[ { "content": "frequency spectrum of photonic crystals consists of large number of continuous bands . \n this is a direct consequence of spatial periodicity of the permittivity @xmath0 which defines the structure . in the limit of infinitesimally small variations of the permittivity \n , all frequency bands coul...
[ { "content": "in the last few decades dusty plasma attracts the researchers most , not only because of different types of wave propagation in dusty plasma due to their involvement in the study of astrophysical and space environments but also for its great variety of new phenomena associated with waves and insta...
[ { "content": "let @xmath2 be a @xmath3-variate random variable following a gaussian mixture model ( gmm ) with density @xmath4 where the @xmath5 s are the mixing proportions , with @xmath6 @xmath7 and @xmath8 , and the component @xmath9 represents the density of a @xmath3-variate normal distribution with mean v...
[ { "content": "among the continuous variable ( cv ) entangled states @xcite , non gaussian states are generally believed to possess much more robust entanglement vis a vis the gaussian states states characterized by a gaussian quasi probability distributions and hence by their first and second moments . \n thoug...
[ { "content": "the trapping potential used in this study is @xmath87 , \\nonumber\\end{aligned}\\ ] ] where @xmath88 , @xmath89 are defined in the main text . \n an illustration of this potential is given in fig . \n [ fig : potential ] . the external barrier heights in @xmath88 were set to be @xmath90mev and...
[ { "content": "as exotic natures of unstable nuclei such as the new magic numbers and the neutron halos are disclosed by experiments , microscopic studies based on the nucleon - nucleon ( @xmath4 ) interaction become even more desired in nuclear structure physics . while the fully microscopic @xmath4 ( and @xmat...
[ { "content": "the interplay between disorder and interactions in bose systems has been a vital field of research in condensed matter both in theory and experiment . \n the line of investigation was mainly initiated by the seminal work of fisher et al.@xcite , who first provided a detailed study of localization ...
[ { "content": "in school we all dealt , in one way or another , with solids such as prisms and pyramids , but maybe also with bipyramids . \n the aim of this paper is to generalize these solids as different products of abstract polytopes , and study their symmetry and combinatorial properties . \n prisms , pyram...
[ { "content": "x - rays may have played an important role in heating the early universe @xcite . \n however , direct study of the sources that produced x - rays in the early universe is currently impractical due to their high redshifts . @xcite \n have suggested that blue compact dwarf ( bcd ) galaxies may be lo...
[ { "content": "one of the most important questions in quantum information theory is the classification of states containing inequivalent types of quantum correlations . \n many results exist in the case when the parts of the composite system are effectively distinguishable , but much less is known in the case of...
[ { "content": "low energy supersymmetry ( susy)@xcite is one of the most active fields of research for physics beyond the standard model ( sm)@xcite . a minimal extension of the standard model when supersymmetry is incorporated is the minimal supersymmetric standard model ( mssm)@xcite that includes two higgs do...
[ { "content": "the relative number and astrophysical properties of dwarf galaxies represent one of the major challenges to the widely accepted @xmath12+cold dark matter ( @xmath12cdm ) cosmological model of structure formation . \n for instance , the predicted number of dm haloes around a milky way ( mw)-sized h...
[ { "content": "for many years now , it has been appreciated that there are distinct advantages in describing quantum resonances and the quantum phenomena associated to the production , evolution and decay of resonances in terms of resonant or gamow states , since many physical effects are then readily expressed ...
[ { "content": "_ c - loops _ are loops satisfying the identity @xmath2 as we shall see , they are in a sense dual to moufang loops the most intensively studied variety of loops and they are closely related to steiner triple systems . \n they are thus important both algebraically and combinatorially , and they ...
[ { "content": "the frequency band structure of artificial periodic dielectrics formally known as photonic crystals is the electromagnetic ( em ) counterpart of the electronic band structure in ordinary atomic solids . \n recently , a new analogy between electron and photon states in periodic structures has been ...
[ { "content": "consider an edge weighted directed graph as a model of a neural network . \n such network can be build up using real life measurements ( see for example , @xcite ) , and neuroscientists are interested in comparing this network with random networks . if the edges were not weighted , the typical app...
[ { "content": "the solution of the @xmath7 worldsheet string theory is one of the cornerstones of the ads / cft duality program . despite continuous effort and progress on classical aspects in particular @xcite , and \n the generally accepted presence of both integrability and conformal invariance symmetries , m...
[ { "content": "since 1998 , a series of independent observations , including type ia supernova @xcite , weak lens @xcite , cosmic microwave background anisotropy @xcite , large scale structure @xcite , baryon oscillation @xcite , etc . , have confirmed that our universe is undergoing a period of accelerated expa...
[ { "content": "astrophysical uhe neutrinos is being searched , since four decades , at tev - pev energy via neutrino muons in underground detectors . \n their signal is greatly polluted from above ( and below ) by cr secondary muons ( and atmospheric muon neutrinos into muons ) and partially suppressed at pevs ,...
[ { "content": "the system we analyze is an open spin - chain of @xmath0 elements , whose hamiltonian reads @xmath1+\\sum^n_{i=1}b(t)\\hat{z}_i.\\ ] ] here , @xmath2 and @xmath3 are the coupling strengths of the pairwise interaction between adjacent spins and @xmath4 is a magnetic field . in our notation , \n @xm...
[ { "content": "the development of quantum - based devices is becoming increasingly necessary for future technological advances and , as a result , enormous effort is being made to find suitable experimental platforms , one of which is cold , neutral atoms . \n strong coupling can be viewed as an essential requir...
[ { "content": "stellar winds of massive stars leave their imprints on the surrounding medium before they explode . after the explosion , the outer shocks of the supernova probe the circumstellar medium , thereby mapping the late stages of the stars evolution . because of its youth \n , the remnant of sn 1987a...
[ { "content": "small free clusters of molecules with very high symmetry ( octahedral ) have been found to resemble bulk of the same substance even in the case of small number of ingredients ( 30 to 80 ) @xcite . \n the number of particles ( molecules or / and atoms ) that mimics bulk properties like phase transi...
[ { "content": "the anomalous magnetic moment of the muon defined as @xmath5 , can be accurately measured and , within the sm framework , precisely predicted@xcite . \n the experimental value of @xmath2 ( @xmath6 ) measured at the brookhaven laboratory differs from the sm estimates by 3.2 - 3.6 @xmath7 @xcite . \...
[ { "content": "the casimir effect@xcite is the force and also the specific polarization of the vacuum arising in restricted quantization volumes and originating from the zero - point oscillations of quantized fields . \n this force acts between two closely spaced macrobodies , between an atom or a molecule and m...
[ { "content": "we recall some notions and definitions . \n a function @xmath9 is said to be completely monotonic on an interval @xmath10 if @xmath9 has derivatives of all orders on @xmath11 and @xmath12 for all @xmath13 and @xmath14 . \n if @xmath15 for some nonnegative integer @xmath16 is completely monotonic o...
[ { "content": "magnetic fields are being recognized as one of the key components in star formation theories ( e.g. , * ? ? ? \n nevertheless , their exact role in the formation and evolution of molecular clouds is still a matter of debate in the literature . on the observational side , \n one of the difficulties...
[ { "content": "prostate cancer ( cap ) is the second leading cause of cancer death among american men , killing 29,000 men each year . \n the us preventive services task force ( uspstf ) cited the substantial rate of prostate cancer overdiagnosis ( 1750 % ) and overtreatment as justification for discouraging th...
[ { "content": "initially formulated by john wheeler@xcite , the program of deriving quantum formalism from information - theoretic principles has been receiving lately much attention . \n thus , jozsa@xcite promotes a viewpoint which `` attempts to place a notion of information at a primary fundamental level in ...
[ { "content": "a major obstacle to a symplectic theory of finite dimensional integrable hamiltonian systems is that _ differential topological _ and _ symplectic _ problems appear side by side , but smooth and symplectic methods do not always mesh well . \n morse - bott theory represents a success in bringing to...