搜索结果: 91-105 共查到“理学 A-POLYNOMIAL”相关记录169条 . 查询时间(0.123 秒)
The polynomial multidimensional Szemerédi Theorem along shifted primes
Arithmetic progressions higher degree uniformity multiple recurrence
2010/12/1
If ~q1, . . . , ~qm: Z → Zℓ are polynomials with zero constant terms and E ⊂Zℓ has positive upper Banach density, then we show that the set E ∩ (E − ~q1(p − 1)) ∩. . .∩(E...
An expression for the Homflypt polynomial and some related properties
Homflypt polynomial Conway polynomial skein relation
2010/12/13
Associated with each oriented link is the two variable Homflypt polynomial. Formulas for the coefficient polynomials of the three lowest v-degrees are presented that shows they are determined by the w...
Topological recursion for the Poincare polynomial of the combinatorial moduli space of curves
Topological recursion Poincare polynomial combinatorial moduli space of curves
2010/12/3
We show that the Poincare polynomial associated with the orbifold cell decomposition of the moduli space of smooth algebraic curves with distinct marked points satis es a topological
recursion formu...
Polynomial realizations of some combinatorial Hopf algebras
Hopf algebras of decorated rooted trees Free quasi-symmetric functions
2010/12/3
We construct explicit polynomial realizations of some combinatorial Hopf algebras based on various kind of trees or forests, and some more general classes of graphs, ranging from the Connes-Kreimer al...
A new look at nonnegativity on closed sets and polynomial optimization
closed sets nonnegative functions nonnegative polynomials semidefinite
2010/11/26
We first show that a continuous function f is nonnegative on a closed set K Rn if and only if (countably many) moment matrices of some signed measure d = fdμ with supp μ = K, are all positive semid...
Physical applications of second-order linear differential equations that admit polynomial solutions
Criteria for polynomial solutions Asymptotic iteration method Confluent Heun equation
2010/11/29
Conditions for the second-order linear differential equation X3 i=0 a3,ixi ! y′′ + X2 i=0 a2,ixi ! y′− X1 i=0 τ1,ixi! y = 0 to have polynomial solutions are given. Several application of these r...
The limiting Kac random polynomial and truncated random orthogonal matrices
limiting Kac random polynomial truncated random orthogonal matrices
2010/12/7
An exact calculation of the eigenvalue statistics of truncated random Haar distributed real orthogonal matrices has recently been carried out by Khoruzhenko, Sommers and Zyczkowski. We further develop...
Polynomial estimates, exponential curves and Diophantine approximation
Polynomial estimates exponential curves Diophantine approximation
2010/12/10
Let ∈ (0, 1) \ Q and K = {(ez, e z) : |z| ≤ 1} ⊂ C2. If P is a polynomial of degree n in C2, normalized by kPkK = 1, we obtain sharp estimates for kPk2 in terms of n, where 2 is the closed u...
Hopf algebras and polynomial identities
Polynomial identity Hopf algebra comodule localization
2010/12/8
This is a survey of results obtained jointly with E. Aljadeff and published in [2]. We explain how to set up a theory of polynomial identities for comodule algebras over a Hopf algebra, and concentrat...
A polynomial bracket for the Dubrovin--Zhang hierarchies
polynomial bracket Dubrovin--Zhang hierarchies
2010/12/14
We define a hierarchy of Hamiltonian PDEs associ-ated to an arbitrary tau-function in the semi-simple orbit of the Givental group action on genus expansions of Frobenius manifolds.We prove that the eq...
Derived equivalence classification of symmetric algebras of polynomial growth
Symmetric algebra Polynomial growth Derived equivalence K¨ulshammer ideals
2010/12/1
We complete the derived equivalence classification of all symmetric algebras of poly-nomial growth, by solving the subtle problem of distinguishing the standard and nonstandard nondomestic symmetric a...
A formula for the HOMFLY polynomial of rational links
formula for the HOMFLY polynomial rational links
2010/12/3
In this paper we give an explicit formula for the HOMFLY polynomial of a rational link (in particular, knot) in terms of a special continued fraction for the rational number that defines the given lin...
Multi-property-preserving Domain Extension Using Polynomial-Based Modes of Operation
Multi-property-preserving Domain Extension Polynomial-Based Modes
2012/11/30
In this paper, we propose a new double-piped mode of operation for multi-property-preserving domain extension of MACs (message authentication codes), PRFs (pseudorandom functions) and PROs (pseudorand...
EFFICIENT AND ERROR-CORRECTING DATA STRUCTURES FOR MEMBERSHIP AND POLYNOMIAL EVALUATION
ERROR-CORRECTING DATA STRUCTURES POLYNOMIAL EVALUATION
2012/11/30
We construct efficient data structures that are resilient against a constant fraction of adversarial noise. Our model requires that the decoder answers most queries correctly with high probability and...
Root Isolation of Zero-dimensional Polynomial Systems with Linear Univariate Representation
Zero-dimensional polynomial system linear univariate representation local generic position root isolation
2013/9/9
In this paper, a linear univariate representation for the roots of a zero-dimensional polynomial equation system is presented, where the roots of the equation system are represented as linear combinat...