搜索结果: 76-90 共查到“理学 A-POLYNOMIAL”相关记录169条 . 查询时间(0.2 秒)
This work gives the construction of an "activity matrix" whose determinant gives Tutte's activity words associated with spanning trees of the signed Tait graph coming from a pretzel knot diagram. Eva...
Vertex subsets with minimal width and dual width in $Q$-polynomial distance-regular graphs
Vertex subsets $Q$-polynomial distance-regular graphs
2010/11/15
We study $Q$-polynomial distance-regular graphs from the point of view of what we call descendents, that is to say, those vertex subsets with the property that the width $w$ and dual width $w^*$ sati...
An analogue of the Conjecture of Dixmier is true for the algebra of polynomial integro-differential operators
Conjecture algebra polynomial integro-differential operators
2010/11/19
Let $A_1:=K\langle x, \frac{d}{dx} \rangle$ be the Weyl algebra and $\mI_1:= K\langle x, \frac{d}{dx}, \int \rangle$ be the algebra of polynomial integro-differential operators over a field $K$ of cha...
alphaCertified: certifying solutions to polynomial systems
alphaCertified certifying polynomial systems
2010/11/11
Smale's alpha-theory uses estimates related to the convergence of Newton's method to give criteria implying that Newton iterations will converge quadratically to solutions to a square polynomial syste...
Groups with polynomial geodesic growth
Geodesic growth virtually nilpotent group with virtu-ally cyclic abelianization
2010/12/13
We study the geodesic growth function for finitely gen-erated groups, and we show that there is a strong relation be-tween virtually cyclic groups and the existence of generating sets
for which geode...
Some functional inequalities on polynomial volume growth Lie groups
Sobolev inequalities polynomial volume growth Lie groups
2010/12/7
We study in this article some Sobolev-type inequalities on polynomial volume growth Lie groups. We show in particular that improved Sobolev inequalities can be extended without
the use of the Littlew...
Computation of Darboux polynomials and rational first integrals with bounded degree in polynomial time
Darboux polynomials rational first integrals bounded degree
2010/12/7
In this paper we study planar polynomial differential systems of this form: dX dt = ˙X = A(X, Y ),dY dt = ˙Y = B(X, Y ),where A,B ∈ Z[X, Y ] and deg A ≤ d, degB ≤ d, kAk1 ≤ H and kBk1 ≤H. A lot of pro...
Analysis of Riemann Zeta Function Zeros using Pochhammer Polynomial Expansions
Riemann Zeta function Riemann Hypothesis Entire functions Real zeros
2010/12/7
The Riemann Zeta function ζ(s) can be expressed in terms of the entire function ξ(s)which has an integral representation characteristic of a general class of entire functions symmetric
around s = &fr...
Multivariate polynomial interpolation and sampling in Paley-Wiener spaces
Multivariate polynomial interpolation sampling Paley-Wiener spaces
2010/12/3
In this paper, an equivalence between existence of particular exponential Riesz bases
for multivariate bandlimited functions and existence of certain polynomial interpolants for these bandlimited fun...
Let A {1, . . . ,N} and P1, . . . , Pℓ 2 Z[n] with Pi(0) = 0 and deg Pi = k for every 1 i ℓ.We show, using Fourier analytic techniques, that for every ε > 0, there necessarily exists...
Polynomial differential equations with piecwise linear coefficients
Polynomial differential equations Multiplicity Center
2010/12/14
Cubic and quartic non-autonomous differential equations with continuous piecewise linear coefficients are considered. The main concern is to find the maximum possible multiplicity of periodic solution...
From logarithmic to subdiffusive polynomial fluctuations for internal DLA and related growth models
internal diffusion limited aggregation cluster growth
2010/12/6
We consider a family of cluster growth models on Zd, which generalize internal diffusion limited aggregation (internal DLA). The latter model is simplest to describe:random walks start at the origin, ...
Motivic invariant of real polynomial functions and Newton polyhedron
Zeta functions virtual Betti numbers blow-Nash equivalence
2010/12/1
We propose a computation of real motivic zeta functions for real polynomial functions, using Newton polyhedron. As a consequence we show that the weights are blow-Nash invariants of convenient weighte...
Skew polynomial rings, Groebner bases and the letterplace embedding of the free associative algebra
Skew polynomial rings Free algebras Gr¨obner bases
2010/12/9
In this paper we introduce an algebra embedding : KhXi → S from the free associative algebra KhXi generated by a finite or countable set X into the skew monoid ring S = P ∗ defined by the co...
Physical applications of second-order linear differential equations that admit polynomial solutions
Criteria for polynomial solutions Asymptotic iteration method Confluent Heun equation Bicon-fluent Heun equation General Heun equation Davidson potential Exactly solvable differential equations
2010/10/21
to have polynomial solutions are given. Several application of these results to Schr¨odinger’s equation are discussed. Conditions under which the confluent, biconfluent, and the general Heun equation ...