id stringlengths 9 9 | title stringlengths 4 234 | abstract stringlengths 20 2.86k | article stringlengths 32 5.03M |
|---|---|---|---|
0704.0002 | sparsity-certifying graph decompositions | 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 instances of sparse graphs appear in rigidity theory and have
received... | introduction and preliminaries
the focus of this paper is decompositions of (k,l)-sparse graphs into edge-disjoint subgraphs
that certify sparsity. we use graph to mean a multigraph, possibly with loops. we say that a
graph is (k,l)-sparse if no subset of n′ vertices spans more than kn′ −ledges in the graph; a
(k,l)-sp... |
0704.0003 | the evolution of the earth-moon system based on the dark matter field
fluid model | 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 well and the general pattern of the evolution of the
moon-earth syst... | introduction
the popularly accepted theory for the formation of the earth-moon system is that
the moon was formed from debris of a strong impact by a giant planetesimal with the
earth at the close of the planet-forming period (hartmann and davis 1975). since the
formation of the earth-moon system, it has been evolv... |
0704.0004 | a determinant of stirling cycle numbers counts unlabeled acyclic
single-source automata | we show that a determinant of stirling cycle numbers counts unlabeled acyclic
single-source automata. the proof involves a bijection from these automata to
certain marked lattice paths and a sign-reversing involution to evaluate the
determinant.
| introduction the chief purpose of this paper is to show bijectively that
a determinant of stirling cycle numbers counts unlabeled acyclic single-source automata.
specifically, let ak(n) denote the kn × kn matrix with (i, j) entry
⌊i−1
k ⌋+2
⌊i−1
k ⌋+1+i−j
, where
i
j
is the stirling cycle number, the number of p... |
0704.0006 | bosonic characters of atomic cooper pairs across resonance | 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 of bose enhancement factor associated with the creation and
annihilati... | introduction
recent
advancement
in
the
control
of
feshbach
molecules has given rise to many new experimental obser-
vations in the world of ultracold atomic gas [1, 2, 3, 4, 5].
at sufficiently low temperatures, fermionic atoms are
known to form pairs under an attractive interaction. the
interaction strength can be man... |
0704.0007 | polymer quantum mechanics and its continuum limit | " a rather non-standard quantum representation of the canonical commutation\nrelations of quantum m(...TRUNCATED) | "introduction\nthe so-called polymer quantum mechanics, a non-\nregular and somewhat 'exotic' repres(...TRUNCATED) |
0704.0008 | numerical solution of shock and ramp compression for general material
properties | " a general formulation was developed to represent material models for\napplications in dynamic loa(...TRUNCATED) | "introduction\nthe continuum representation of matter is widely used for material dynamics in sci-\n(...TRUNCATED) |
0704.0009 | "the spitzer c2d survey of large, nearby, insterstellar clouds. ix. the\n serpens yso population as(...TRUNCATED) | " we discuss the results from the combined irac and mips c2d spitzer legacy\nobservations of the se(...TRUNCATED) | "introduction\nthe serpens star-forming cloud is one of five such large clouds selected for observat(...TRUNCATED) |
0704.0010 | partial cubes: structures, characterizations, and constructions | " partial cubes are isometric subgraphs of hypercubes. structures on a graph\ndefined by means of s(...TRUNCATED) | "introduction\na hypercube h(x) on a set x is a graph which vertices are the finite subsets\nof x; t(...TRUNCATED) |
0704.0011 | "computing genus 2 hilbert-siegel modular forms over $\\q(\\sqrt{5})$ via\n the jacquet-langlands c(...TRUNCATED) | " in this paper we present an algorithm for computing hecke eigensystems of\nhilbert-siegel cusp fo(...TRUNCATED) | "introduction\nlet f be a real quadratic field of narrow class number one and let b be the\nunique ((...TRUNCATED) |
0704.0012 | "distribution of integral fourier coefficients of a modular form of half\n integral weight modulo p(...TRUNCATED) | " recently, bruinier and ono classified cusp forms $f(z) := \\sum_{n=0}^{\\infty}\na_f(n)q ^n \\in (...TRUNCATED) | "introduction and results\nlet mλ+ 1\n2(γ0(n), χ) and sλ+ 1\n2(γ0(n), χ) be the spaces, respec(...TRUNCATED) |
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