messages listlengths 2 2 |
|---|
[
{
"role": "user",
"content": "Continue the text naturally. A fully differential calculation in perturbative quantum chromodynamics is presented for the production of massive photon pairs at hadron colliders. All next-to-leading order perturbative contributions from quark-antiquark, gluon-(anti)quark, and gl... |
[
{
"role": "user",
"content": "Continue the text naturally. We describe a new algorithm, the $(k,\\ell)$-pebble game with colors, and use it obtain a characterization of the family of $(k,\\ell)$-sparse graphs and algorithmic solutions to a family of problems concerning tree decompositions of graphs. Special... |
[
{
"role": "user",
"content": "Continue the text naturally. The evolution of Earth-Moon system is described by the dark matter field fluid model proposed in the Meeting of Division of Particle and Field 2004, American Physical Society. The current behavior of the Earth-Moon system agrees with this model very... |
[
{
"role": "user",
"content": "Continue the text naturally. We show that a determinant of Stirling cycle numbers counts unlabeled"
},
{
"role": "assistant",
"content": "acyclic single-source automata. The proof involves a bijection from these automata to certain marked lattice paths and a sign-re... |
[
{
"role": "user",
"content": "Continue the text naturally. In this paper we show how to compute the $\\Lambda_{\\alpha}$ norm, $\\alpha\\ge 0$, using the dyadic grid. This result is a consequence of the description"
},
{
"role": "assistant",
"content": "of the Hardy spaces $H^p(R^N)$ in terms of... |
[
{
"role": "user",
"content": "Continue the text naturally. We study the two-particle wave function of paired atoms in a Fermi gas with tunable interaction strengths controlled by Feshbach resonance. The Cooper pair wave function is examined for its bosonic characters, which is quantified by the correction o... |
[
{
"role": "user",
"content": "Continue the text naturally. A rather non-standard quantum representation of the canonical commutation relations of quantum mechanics systems, known as the polymer representation has gained some attention in recent years, due to its possible relation with Planck scale physics. ... |
[
{
"role": "user",
"content": "Continue the text naturally. A general formulation was developed to represent material models for applications in dynamic loading. Numerical methods were devised to calculate response to shock and ramp compression, and ramp decompression, generalizing previous solutions for sca... |
[
{
"role": "user",
"content": "Continue the text naturally. We discuss the results from the combined IRAC and MIPS c2d Spitzer Legacy observations of the Serpens star-forming region. In particular we present a set of criteria for isolating bona fide young stellar objects, YSO's, from the extensive background... |
[
{
"role": "user",
"content": "Continue the text naturally. Partial cubes are isometric subgraphs of hypercubes. Structures on a graph defined by means of semicubes, and Djokovi\\'{c}'s and Winkler's relations play an important role in the theory of partial cubes. These structures are employed in the paper t... |
[
{
"role": "user",
"content": "Continue the text naturally. In this paper we present an algorithm for computing Hecke eigensystems of Hilbert-Siegel cusp forms over real quadratic fields of narrow class number one. We give some illustrative examples using the quadratic"
},
{
"role": "assistant",
... |
[
{
"role": "user",
"content": "Continue the text naturally. Recently, Bruinier and Ono classified cusp forms $f(z) := \\sum_{n=0}^{\\infty} a_f(n)q ^n \\in S_{\\lambda+1/2}(\\Gamma_0(N),\\chi)\\cap \\mathbb{Z}[[q]]$ that does not satisfy a certain distribution property for modulo odd primes $p$. In this pape... |
[
{
"role": "user",
"content": "Continue the text naturally. Serre obtained the p-adic limit of the integral Fourier coefficient of modular forms on $SL_2(\\mathbb{Z})$ for $p=2,3,5,7$. In this paper, we extend the result of Serre to weakly holomorphic modular forms of half integral weight on $\\Gamma_{0}(4N)... |
[
{
"role": "user",
"content": "Continue the text naturally. In this article we discuss a relation between"
},
{
"role": "assistant",
"content": "the string topology and differential forms based on the theory of Chen's iterated integrals and the cyclic bar complex."
}
] |
[
{
"role": "user",
"content": "Continue the text naturally. The pure spinor formulation of the ten-dimensional superstring leads to manifestly supersymmetric loop amplitudes, expressed"
},
{
"role": "assistant",
"content": "as integrals in pure spinor superspace. This paper explores different met... |
[
{
"role": "user",
"content": "Continue the text naturally. In this work, we evaluate the lifetimes of the doubly charmed baryons $\\Xi_{cc}^{+}$, $\\Xi_{cc}^{++}$ and $\\Omega_{cc}^{+}$. We carefully calculate the non-spectator contributions at the quark level where the Cabibbo-suppressed diagrams are also"... |
[
{
"role": "user",
"content": "Continue the text naturally. Results from spectroscopic observations of the Intermediate Polar (IP) EX Hya in quiescence during 1991 and 2001 are presented. Spin-modulated radial velocities consistent with an outer disc origin were detected for the first time in an IP. The spin... |
[
{
"role": "user",
"content": "Continue the text naturally. We give a prescription for how to compute the Callias index, using as regulator an exponential function. We find agreement with old results in all odd dimensions. We show that the problem of computing the dimension of the moduli space"
},
{
... |
[
{
"role": "user",
"content": "Continue the text naturally. In this note we give a new method for getting a series of approximations for the"
},
{
"role": "assistant",
"content": "extinction probability of the one-dimensional contact process by using the Gr\\\"obner basis."
}
] |
[
{
"role": "user",
"content": "Continue the text naturally. The shape of the hadronic form factor f+(q2) in the decay D0 --> K- e+ nue has been measured in a model independent analysis and compared with theoretical calculations. We use 75 fb(-1) of data recorded by the BABAR detector at the PEPII electron-po... |
[
{
"role": "user",
"content": "Continue the text naturally. Spatiotemporal pattern formation in a product-activated enzymic reaction at high enzyme concentrations is investigated. Stochastic simulations show that catalytic turnover cycles of individual enzymes can become coherent and that complex wave patter... |
[
{
"role": "user",
"content": "Continue the text naturally. We present Lie group integrators for nonlinear stochastic differential equations with non-commutative vector fields whose solution evolves on a smooth finite dimensional manifold. Given a Lie group action that generates transport along the manifold,... |
[
{
"role": "user",
"content": "Continue the text naturally. The very nature of the solar chromosphere, its structuring and dynamics, remains far from being properly understood, in spite of intensive research. Here we point out the potential of chromospheric observations at millimeter wavelengths to resolve t... |
[
{
"role": "user",
"content": "Continue the text naturally. The formation of quasi-2D spin-wave waveforms in longitudinally magnetized stripes of ferrimagnetic film was observed by using time- and space-resolved Brillouin light scattering technique. In the linear regime it was found that the confinement decr... |
[
{
"role": "user",
"content": "Continue the text naturally. We present recent advances in understanding of the ground and excited states of the electron-phonon coupled systems obtained by novel methods of Diagrammatic Monte Carlo and Stochastic Optimization, which enable the approximation-free calculation of... |
[
{
"role": "user",
"content": "Continue the text naturally. Zero-divisors (ZDs) derived by Cayley-Dickson Process (CDP) from N-dimensional hypercomplex numbers (N a power of 2, at least 4) can represent singularities and, as N approaches infinite, fractals -- and thereby,scale-free"
},
{
"role": "ass... |
[
{
"role": "user",
"content": "Continue the text naturally. We describe a peculiar fine structure acquired by the in-plane optical phonon at the Gamma-point in graphene when it is brought into resonance with one of the inter-Landau-level transitions in this material. The effect is most pronounced when this l... |
[
{
"role": "user",
"content": "Continue the text naturally. We prove pfaffian and hafnian versions of Lieb's inequalities on determinants and permanents of positive semi-definite matrices. We use the hafnian inequality"
},
{
"role": "assistant",
"content": "to improve the lower bound of R\\'ev\\'... |
[
{
"role": "user",
"content": "Continue the text naturally. In $\\XQM$, a quark can emit Goldstone bosons. The flavor symmetry breaking in the Goldstone boson emission process is used to intepret the nucleon flavor-spin structure. In this paper, we study the inner"
},
{
"role": "assistant",
"cont... |
[
{
"role": "user",
"content": "Continue the text naturally. We investigate the effect of tuning the phonon energy on the correlation effects in models of electron-phonon interactions using DMFT. In the regime where itinerant electrons, instantaneous electron-phonon driven correlations and static distortions ... |
[
{
"role": "user",
"content": "Continue the text naturally. We show that crystal can trap a broad (x, x', y, y', E) distribution of particles and channel it preserved with a high precision. This sampled-and-hold distribution can be steered by a bent crystal for analysis downstream. In simulations for the 7 T... |
[
{
"role": "user",
"content": "Continue the text naturally. We analyze the possibility of probing non-standard neutrino interactions (NSI, for short) through the detection of neutrinos produced in a future galactic supernova (SN).We consider the effect of NSI on the neutrino propagation through the SN envelo... |
[
{
"role": "user",
"content": "Continue the text naturally. We performed a rigorous theoretical convergence analysis of the discrete dipole approximation (DDA). We prove that errors in any measured quantity are bounded by a sum of a linear and quadratic term in the size of a dipole d, when the latter is in t... |
[
{
"role": "user",
"content": "Continue the text naturally. This is a supplement to the paper arXiv:q-bio/0701050, containing"
},
{
"role": "assistant",
"content": "the text of correspondence sent to Nature in 1990."
}
] |
[
{
"role": "user",
"content": "Continue the text naturally. We propose an extrapolation technique that allows accuracy improvement of the discrete dipole approximation computations. The performance of this technique was studied empirically based on extensive simulations for 5 test cases using many different ... |
[
{
"role": "user",
"content": "Continue the text naturally. The multisite phosphorylation-dephosphorylation cycle is a motif repeatedly used in cell signaling. This motif itself can generate a variety of dynamic behaviors like bistability and ultrasensitivity without direct positive feedbacks. In this paper,... |
[
{
"role": "user",
"content": "Continue the text naturally. In this manuscript we investigate the capabilities of the Discrete Dipole Approximation (DDA) to simulate scattering from particles that are much larger than the wavelength of the incident light, and describe an optimized publicly available DDA comp... |
[
{
"role": "user",
"content": "Continue the text naturally. We present a review of the discrete dipole approximation (DDA), which is a general method to simulate light scattering by arbitrarily shaped particles. We put the method in historical context and discuss recent developments, taking the viewpoint of ... |
[
{
"role": "user",
"content": "Continue the text naturally. The quadratic pion scalar radius, \\la r^2\\ra^\\pi_s, plays an important role for present precise determinations of \\pi\\pi scattering. Recently, Yndur\\'ain, using an Omn\\`es representation of the null isospin(I) non-strange pion scalar form fac... |
[
{
"role": "user",
"content": "Continue the text naturally. As in the cases of freeness and monotonic independence, the notion of conditional freeness is meaningful when complex-valued states are replaced by positive conditional expectations. In this framework, the paper presents several"
},
{
"role"... |
[
{
"role": "user",
"content": "Continue the text naturally. We formulate a quantum generalization of the notion of the group of Riemannian isometries for a compact Riemannian manifold, by introducing a natural notion of smooth and isometric action by a compact quantum group on a classical or noncommutative m... |
[
{
"role": "user",
"content": "Continue the text naturally. It is outlined the possibility to extend the quantum formalism in relation to the requirements of the general systems theory. It can be done by using a quantum semantics arising from the deep logical structure of quantum theory. It is so possible ta... |
[
{
"role": "user",
"content": "Continue the text naturally. We construct a system of nonequilibrium entropy limiters for the lattice Boltzmann methods (LBM). These limiters erase spurious oscillations without blurring of shocks, and do not affect smooth solutions. In general, they do the same work for LBM as... |
[
{
"role": "user",
"content": "Continue the text naturally. We present a theoretical framework for plasma turbulence in astrophysical plasmas (solar wind, interstellar medium, galaxy clusters, accretion disks). The key assumptions are that the turbulence is anisotropic with respect to the mean magnetic field... |
[
{
"role": "user",
"content": "Continue the text naturally. This paper considers the propagation of shallow-water solitary and nonlinear periodic waves over a gradual slope with bottom friction in the framework of a variable-coefficient Korteweg-de Vries equation. We use the Whitham averaging method, using a... |
[
{
"role": "user",
"content": "Continue the text naturally. In a quantum mechanical model, Diosi, Feldmann and Kosloff arrived at a conjecture stating that the limit of the entropy of certain mixtures is the relative entropy as system size goes to infinity. The conjecture is proven in this paper for density ... |
[
{
"role": "user",
"content": "Continue the text naturally. The intelligent acoustic emission locator is described in Part I, while Part II discusses blind source separation, time delay estimation and location of two simultaneously active continuous acoustic emission sources. The location of acoustic emissio... |
[
{
"role": "user",
"content": "Continue the text naturally. We report on the analysis of selected single source data sets from the first round of the Mock LISA Data Challenges (MLDC) for white dwarf binaries. We implemented an end-to-end pipeline consisting of a grid-based coherent pre-processing unit for si... |
[
{
"role": "user",
"content": "Continue the text naturally. We present an algorithm that produces the classification list of smooth Fano d-polytopes for any given d. The input of the algorithm is"
},
{
"role": "assistant",
"content": "a single number, namely the positive integer d. The algorithm ... |
[
{
"role": "user",
"content": "Continue the text naturally. Part I describes an intelligent acoustic emission locator, while Part II discusses blind source separation, time delay estimation and location of two continuous acoustic emission sources. Acoustic emission (AE) analysis is used for characterization ... |
[
{
"role": "user",
"content": "Continue the text naturally. A novel way of picturing the processing of quantum information is described, allowing a direct visualization of teleportation of quantum states and providing a simple and intuitive understanding of this fascinating phenomenon. The discussion is aime... |
[
{
"role": "user",
"content": "Continue the text naturally. We study space-time symmetries in scalar quantum field theory (including interacting theories) on static space-times. We first consider Euclidean quantum field theory on a static Riemannian"
},
{
"role": "assistant",
"content": "manifold... |
[
{
"role": "user",
"content": "Continue the text naturally. The aim of the present paper is to provide a global presentation of the theory of special Finsler manifolds. We introduce and investigate globally (or intrinsically, free from local coordinates) many of the most important and most commonly used spec... |
[
{
"role": "user",
"content": "Continue the text naturally. In this paper we consider the Hardy-Lorentz spaces $H^{p,q}(R^n)$, with $0<p\\le 1$, $0<q\\le \\infty$. We discuss the atomic decomposition of the"
},
{
"role": "assistant",
"content": "elements in these spaces, their interpolation prope... |
[
{
"role": "user",
"content": "Continue the text naturally. Potassium intercalation in graphite is investigated by first-principles theory. The bonding in the potassium-graphite compound is reasonably well accounted for by traditional semilocal density functional theory (DFT) calculations. However, to invest... |
[
{
"role": "user",
"content": "Continue the text naturally. We study a simple model of a nematic liquid crystal made of parallel ellipsoidal particles interacting via a repulsive Gaussian law. After identifying the relevant solid phases of the system through"
},
{
"role": "assistant",
"content": ... |
[
{
"role": "user",
"content": "Continue the text naturally. We study the interplay of crystal field splitting and Hund coupling in a two-orbital model which captures the essential physics of systems with two electrons or holes in the e_g shell. We use single site dynamical mean field theory with a recently d... |
[
{
"role": "user",
"content": "Continue the text naturally. I shall present three arguments for the proposition that intelligent life is very rare in the universe. First, I shall summarize the consensus opinion of the founders of the Modern Synthesis (Simpson, Dobzhanski, and Mayr) that the evolution of inte... |
[
{
"role": "user",
"content": "Continue the text naturally. We derive masses and radii for both components in the single-lined eclipsing binary HAT-TR-205-013, which consists of a F7V primary and a late M-dwarf secondary. The system's period is short, $P=2.230736 \\pm 0.000010$ days, with an orbit indistingu... |
[
{
"role": "user",
"content": "Continue the text naturally. We investigate the Coulomb excitation of low-lying states of unstable nuclei in intermediate energy collisions ($E_{lab}\\sim10-500$ MeV/nucleon). It is shown that the cross sections for the $E1$ and $E2$ transitions are larger at lower"
},
{
... |
[
{
"role": "user",
"content": "Continue the text naturally. Intersection bodies represent a remarkable class of geometric objects associated with sections of star bodies and invoking Radon transforms, generalized cosine transforms, and the relevant Fourier analysis. The main focus of this article is interrel... |
[
{
"role": "user",
"content": "Continue the text naturally. In this paper, we introduce the on-line Viterbi algorithm for decoding hidden Markov models (HMMs) in much smaller than linear space. Our analysis on two-state HMMs suggests that the expected maximum memory used to decode sequence of length $n$ with... |
[
{
"role": "user",
"content": "Continue the text naturally. Neutrinoless double beta decay is one of the most sensitive approaches in non-accelerator particle physics to take us into a regime of physics beyond the standard model. This article is a brief review of the experiments"
},
{
"role": "assist... |
[
{
"role": "user",
"content": "Continue the text naturally. We capture the off-shell as well as the on-shell nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry invariance of the Lagrangian densities of the four (3 + 1)-dimensional (4D) (non-)Abelian 1-form gauge theories within the framework o... |
[
{
"role": "user",
"content": "Continue the text naturally. We introduce a family of rings of symmetric functions depending on an infinite sequence of parameters. A distinguished basis of such a ring is comprised by analogues of the Schur functions. The corresponding structure coefficients are polynomials in... |
[
{
"role": "user",
"content": "Continue the text naturally. Possible (algebraic) commutation relations in the Lagrangian quantum theory of free (scalar, spinor and vector) fields are considered from mathematical view-point. As sources of these relations are employed the Heisenberg equations/relations for the... |
[
{
"role": "user",
"content": "Continue the text naturally. Epitaxial self-assembled quantum dots (SAQDs) are of interest for nanostructured optoelectronic and electronic devices such as lasers, photodetectors and nanoscale logic. Spatial order and size order of SAQDs are important to the development of usab... |
[
{
"role": "user",
"content": "Continue the text naturally. In the article [Petojevic 2006], A. Petojevi\\' c verified useful properties of the $K_{i}(z)$ functions which generalize Kurepa's [Kurepa 1971] left factorial function. In this note, we present simplified proofs of two"
},
{
"role": "assist... |
[
{
"role": "user",
"content": "Continue the text naturally. The goal of this paper is to construct invariant dynamical objects for a (not necessarily invertible) smooth self map of a compact manifold. We prove a result that takes advantage of differences in rates of expansion in the terms of a sheaf cohomolo... |
[
{
"role": "user",
"content": "Continue the text naturally. The fractional Aharonov-Bohm oscillation (FABO) of narrow quantum rings with two electrons has been studied and has been explained in an analytical way, the evolution of the period and amplitudes against the magnetic field can be exactly described. ... |
[
{
"role": "user",
"content": "Continue the text naturally. No abstract given; compares pairs of languages from World Atlas"
},
{
"role": "assistant",
"content": "of Language Structures."
}
] |
[
{
"role": "user",
"content": "Continue the text naturally. In present paper we propose seemingly new method for finding solutions of some types of nonlinear PDEs in closed form. The method is based on decomposition of nonlinear operators on sequence of operators of lower orders. It is shown that decompositi... |
[
{
"role": "user",
"content": "Continue the text naturally. We treat Koll\\'ar's injectivity theorem from the analytic (or differential geometric) viewpoint. More precisely, we give a curvature condition which implies Koll\\'ar type cohomology injectivity theorems. Our main theorem is formulated for a compac... |
[
{
"role": "user",
"content": "Continue the text naturally. This paper is an exposition of the so-called injective Morita contexts (in which the connecting bimodule morphisms are injective) and Morita $\\alpha$contexts (in which the connecting bimodules enjoy some local projectivity in the sense of Zimmerman... |
[
{
"role": "user",
"content": "Continue the text naturally. There has been important experimental progress in the sector of heavy baryons in the past several years. We study the strong decays of the S-wave, P-wave, D-wave and radially excited charmed baryons using the $^3P_0$ model. After comparing the"
},... |
[
{
"role": "user",
"content": "Continue the text naturally. Precision tests of the Kobayashi-Maskawa model of CP violation are discussed, pointing out possible signatures for other sources of CP violation and for new flavor-changing"
},
{
"role": "assistant",
"content": "operators. The current st... |
[
{
"role": "user",
"content": "Continue the text naturally. The Dark Energy problem is forcing us to re-examine our models and our understanding of relativity and space-time. Here a novel idea of Fundamental Forces is introduced. This allows us to perceive the General Theory of Relativity and Einstein's Equa... |
[
{
"role": "user",
"content": "Continue the text naturally. We present a critical review about the study of linear perturbations of matched spacetimes including gauge problems. We analyse the freedom introduced in the perturbed matching by the presence of background symmetries and revisit the particular case... |
[
{
"role": "user",
"content": "Continue the text naturally. We define nonselfadjoint operator algebras with generators $L_{e_1},..., L_{e_n}, L_{f_1},...,L_{f_m}$ subject to the unitary commutation relations of the form \\[ L_{e_i}L_{f_j} ="
},
{
"role": "assistant",
"content": "\\sum_{k,l} u_{i,... |
[
{
"role": "user",
"content": "Continue the text naturally. We show that the globular cluster mass function (GCMF) in the Milky Way depends on cluster half-mass density (rho_h) in the sense that the turnover mass M_TO increases with rho_h while the width of the GCMF decreases. We argue that this is the expec... |
[
{
"role": "user",
"content": "Continue the text naturally. We discussed quantum deformations of D=4 Lorentz and Poincare algebras. In the case of Poincare algebra it is shown that almost all classical r-matrices of"
},
{
"role": "assistant",
"content": "S. Zakrzewski classification correspond to... |
[
{
"role": "user",
"content": "Continue the text naturally. We investigate dynamical properties of bright solitons with a finite background in the F=1 spinor Bose-Einstein condensate (BEC), based on an integrable spinor model which is equivalent to the matrix nonlinear Schr\\\"{o}dinger equation with a self-... |
[
{
"role": "user",
"content": "Continue the text naturally. The path integral over Euclidean geometries for the recently suggested density matrix of the Universe is shown to describe a microcanonical ensemble in quantum cosmology. This ensemble corresponds to a uniform (weight one) distribution in phase spac... |
[
{
"role": "user",
"content": "Continue the text naturally. We employ granular hydrodynamics to investigate a paradigmatic problem of clustering of particles in a freely cooling dilute granular gas. We consider large-scale hydrodynamic motions where the viscosity and heat conduction can be neglected, and one... |
[
{
"role": "user",
"content": "Continue the text naturally. We discuss a universality property of any covariant field theory in space-time expanded around pp-wave backgrounds. According to this property the space-time lagrangian density evaluated on a restricted set of field configurations, called universal ... |
[
{
"role": "user",
"content": "Continue the text naturally. We give a quantitative analysis of clustering in a stochastic model of one-dimensional gas. At time zero, the gas consists of $n$ identical particles that are randomly distributed on the real line and have zero initial speeds. Particles begin to mov... |
[
{
"role": "user",
"content": "Continue the text naturally. Our main result in this paper is the following: Given $H^m, H^n$ hyperbolic spaces of dimensional $m$ and $n$ corresponding, and given a Holder function $f=(s^1,...,f^{n-1}):\\partial H^m\\to \\partial H^n$ between geometric boundaries of $H^m$"
}... |
[
{
"role": "user",
"content": "Continue the text naturally. The results of the spectral, energetical and temporal characteristics of radiation in the presence of the photonic flame effect are presented. Artificial opal posed on Cu plate at the temperature of liquid nitrogen boiling point (77 K) being irradia... |
[
{
"role": "user",
"content": "Continue the text naturally. Statistical modeling of experimental physical laws is based on the probability density function of measured variables. It is expressed by experimental data via a kernel estimator. The kernel is determined objectively by the scattering of data during... |
[
{
"role": "user",
"content": "Continue the text naturally. Real Options for Project Schedules (ROPS) has three recursive sampling/optimization shells. An outer Adaptive Simulated Annealing (ASA) optimization shell optimizes parameters of strategic Plans containing multiple Projects containing ordered Tasks.... |
[
{
"role": "user",
"content": "Continue the text naturally. We combine classical methods of combinatorial group theory with the theory of small cancellations over relatively hyperbolic groups to construct finitely generated torsion-free groups that have only finitely many classes of conjugate elements. Moreo... |
[
{
"role": "user",
"content": "Continue the text naturally. We study a recently proposed formulation of overlap fermions at finite density. In particular we compute the energy density as a function of the chemical potential and the temperature. It"
},
{
"role": "assistant",
"content": "is shown t... |
[
{
"role": "user",
"content": "Continue the text naturally. Lattice contribution to the electronic self-energy in complex correlated oxides is a fascinating subject that has lately stimulated lively discussions. Expectations of electron-phonon self-energy effects for simpler materials, such as Pd and Al, hav... |
[
{
"role": "user",
"content": "Continue the text naturally. We present semi-analytical constraint on the amount of dark matter in the merging bullet galaxy cluster using the classical Local Group timing arguments. We consider particle orbits in potential models which fit the lensing data. {\\it Marginally co... |
[
{
"role": "user",
"content": "Continue the text naturally. We get asymptotics for the volume of large balls in an arbitrary locally compact group G with polynomial growth. This is done via a study of the geometry of G and a generalization of P. Pansu's thesis. In particular, we show that any such G is weakl... |
[
{
"role": "user",
"content": "Continue the text naturally. In this note we present three representations of a 248-dimensional Lie algebra, namely the algebra of Lie point symmetries admitted by a system of five trivial ordinary differential equations each of order forty-four, that admitted by a system"
},... |
[
{
"role": "user",
"content": "Continue the text naturally. We review recent progress in operator algebraic approach to conformal quantum field theory. Our emphasis is on use of representation theory in classification"
},
{
"role": "assistant",
"content": "theory. This is based on a series of joi... |
[
{
"role": "user",
"content": "Continue the text naturally. Sparse Code Division Multiple Access (CDMA), a variation on the standard CDMA method in which the spreading (signature) matrix contains only a relatively small number of non-zero elements, is presented and analysed using methods of statistical physi... |
[
{
"role": "user",
"content": "Continue the text naturally. For positive semidefinite matrices $A$ and $B$, Ando and Zhan proved the inequalities $||| f(A)+f(B) ||| \\ge ||| f(A+B) |||$ and $||| g(A)+g(B) ||| \\le ||| g(A+B) |||$, for any unitarily invariant norm, and for any non-negative operator monotone $... |
[
{
"role": "user",
"content": "Continue the text naturally. The topological structure of the event horizon has been investigated in terms of the Morse theory. The elementary process of topological evolution can be understood as a handle attachment. It has been found that there are certain constraints on the ... |
common-pile-prefix-continuation
Chat-template-ready English prefix continuation examples derived from selected Common Pile components. This upload contains only judge-accepted rows from a larger generated Common Pile export.
Contents
- Format: gzip-compressed JSON Lines under
data/*.jsonl.gz - Schema:
{"messages": [{"role": "user", "content": "..."}, {"role": "assistant", "content": "..."}]} - Files:
19 - Rows:
619,911 - Task: English prefix continuation
Sources
Accepted rows by source family:
| Source family | Accepted rows |
|---|---|
common-pile/arxiv_abstracts_filtered |
79,693 |
common-pile/arxiv_papers_filtered |
288,234 |
common-pile/library_of_congress |
251,984 |
Effective source files:
| Source file | Accepted rows |
|---|---|
common-pile/arxiv_abstracts_filtered/arxiv-abstracts-dolma-0000.parquet |
39,776 |
common-pile/arxiv_abstracts_filtered/arxiv-abstracts-dolma-0001.parquet |
39,917 |
common-pile/arxiv_papers_filtered/arxiv-papers-0000.parquet |
36,502 |
common-pile/arxiv_papers_filtered/arxiv-papers-0001.parquet |
36,172 |
common-pile/arxiv_papers_filtered/arxiv-papers-0002.parquet |
36,201 |
common-pile/arxiv_papers_filtered/arxiv-papers-0003.parquet |
36,045 |
common-pile/arxiv_papers_filtered/arxiv-papers-0004.parquet |
35,887 |
common-pile/arxiv_papers_filtered/arxiv-papers-0005.parquet |
35,981 |
common-pile/arxiv_papers_filtered/arxiv-papers-0006.parquet |
35,891 |
common-pile/arxiv_papers_filtered/arxiv-papers-0007.parquet |
35,555 |
common-pile/library_of_congress/data/00000_loc_books.parquet |
29,822 |
common-pile/library_of_congress/data/00001_loc_books.parquet |
31,750 |
common-pile/library_of_congress/data/00002_loc_books.parquet |
29,643 |
common-pile/library_of_congress/data/00003_loc_books.parquet |
28,041 |
common-pile/library_of_congress/data/00004_loc_books.parquet |
29,546 |
common-pile/library_of_congress/data/00005_loc_books.parquet |
28,087 |
common-pile/library_of_congress/data/00006_loc_books.parquet |
29,490 |
common-pile/library_of_congress/data/00007_loc_books.parquet |
30,571 |
common-pile/library_of_congress/data/00008_loc_books.parquet |
15,034 |
Example
{
"messages": [
{
"role": "user",
"content": "Continue the text naturally. A fully differential calculation in perturbative quantum chromodynamics is presented for the production of massive photon pairs at hadron colliders. All next-to-leading order perturbative contributions from quark-antiquark, gluon-(anti)quark, and gluon-gluon subprocesses are included, as well as all-orders resummation of initial-state gluon radiation valid at next-to-next-to-leading logarithmic accuracy. The region of phase space is specified in which the calculation is most reliable. Good agreement is demonstrated with data from the Fermilab Tevatron, and predictions are made for more detailed tests"
},
{
"role": "assistant",
"content": "with CDF and DO data. Predictions are shown for distributions of diphoton pairs produced at the energy of the Large Hadron Collider (LHC). Distributions of the diphoton pairs from the decay of a Higgs boson are contrasted with those produced from QCD processes at the LHC, showing that enhanced sensitivity to the signal can be obtained with judicious selection of events."
}
]
}
Filtering
Rows were judged with google/gemma-4-31B-it.
| Outcome | Rows |
|---|---|
| Audited | 740,695 |
| Accepted/uploaded | 619,911 |
| Rejected | 120,784 |
Main rejection reasons: incoherent-or-ocr, url-or-reference-dump, metadata-boilerplate, empty-or-too-short. Machine-readable counts are in audit_summary.json.
The larger generated export had 19,043,384 rows; this upload keeps only rows with an explicit accepted audit decision.
Recreate
recreate_dataset.py can regenerate a similar dataset from local Parquet files:
python recreate_dataset.py \
--input-root /path/to/source-parquet-root \
--output-root data
The script also includes audit and filter subcommands for rerunning the judge/filter workflow with an OpenAI-compatible endpoint.
- Downloads last month
- 82