搜索结果: 61-75 共查到“知识库 计算数学其他学科”相关记录162条 . 查询时间(6.526 秒)
Compactness of the $\bar\partial $ - Neumann operator on weighted $(0,q)$- forms
@-Neumann problem Sobolev spaces compactness
2011/2/24
As an application of a new characterization of compactness of the @-Neumann operator we derive a sufficient condition for compactness of the @- Neumann operator on (0, q)-forms in weighted L2-spaces o...
Multiplicative zero-one laws and metric number theory
Zero-one laws metric Diophantine approximation
2011/1/18
We develop the classical theory of Diophantine approximation without assuming monotonicity or convexity. A complete ‘multiplicative’ zero-one law is established akin to the ‘simultaneous’ zero-one law...
Poset pinball, the dimension pair algorithm, and type A regular nilpotent Hessenberg varieties
Poset pinball the dimension pair algorithm type regular nilpotent Hessenberg varieties
2011/2/22
In thismanuscript we develop the theory of poset pinball, a combinatorial game recently introduced by Harada and Tymoczko for the study of the equivariant cohomology rings of GKM-compatible subspaces ...
Duality Gap, Computational Complexity and NP Completeness: A Survey
Duality Gap Computational Complexity NP Completeness
2011/2/28
In this paper, we survey research that studies the connection between the computational complexity of optimization problems on the one hand, and the duality gap between the primal and dual optimizatio...
Improvements on Cantor-Zassenhaus Factorization Algorithm
Polynomial factorization Cantor-Zassenhaus
2011/2/25
After revisiting Cantor-Zassenhaus polynomial factorization algorithm, we describe a new
simplified version of it, which requires less computational cost.
Smoothness of Extremizers of a Convolution Inequality
Extremizers Euler-Lagrange equation smoothness multilinear bounds
2011/2/28
Let d ≥ 2 and T be the convolution operator T f(x) = R Rd−1 f(x′ − t, xd − |t|2) dt, which is is bounded from L(d+1)/d(Rd) to Ld+1(Rd). We show that any critical point f ∈ L(d+1)/d o...
Sharp bounds on the rate of convergence of the empirical covariance matrix
Sharp bounds rate of convergence empirical covariance matrix
2011/1/17
Let X1, . . . ,XN ∈ Rn be independent centered random vectors with log-concave distribution and with the identity as covariance matrix.
A strong Oka principle for embeddings of some planar domains into CxC
some planar domains into CxC math
2010/11/23
Gromov, in his seminal 1989 paper on the Oka principle, introduced the notion of an elliptic manifold and proved that every continuous map from a Stein manifold to an elliptic manifold is homotopic to...
Positive Solutions for the p-Laplacian with Dependence on the Gradient
Positive Solutions the p-Laplacian
2010/11/23
We prove a result of existence of positive solutions of the Dirichlet problem for $-\Delta_p u=\mathrm{w}(x)f(u,\nabla u)$ in a bounded domain $\Omega\subset\mathbb{R}^N$, where $\Delta_p$ is the $p$...
We introduce the Characteristic Curvature as the curvature of the trajectories of the hamiltonian vector field with respect to the normal direction to the isoenergetic surfaces and by using the Secon...
$L^p$-$L^q$ estimates for Electromagnetic Helmholtz equation
Electromagnetic Helmholtz equation math
2010/11/9
In space dimension $n\geq3$, we consider the electromagnetic Schr\"odinger Hamiltonian $H=(\nabla-iA(x))^2-V$ and the corresponding Helmholtz equation $(\nabla-iA(x))^2u+u-V(x)u=f \in \mathbb{R}^n$. ...
The boundary Carathéodory-Fejér interpolation problem
The boundary Carathéodory-Fejér interpolation problem math
2010/11/11
We give an elementary proof of a solvability criterion for the {\em boundary Carath\'{e}odory-Fej\'{e}r problem}: given a point $x \in \R$ and, a finite set of target values, to construct a function $...
In-flight dissipation as a mechanism to suppress Fermi acceleration
In-flight dissipation mechanism suppress Fermi acceleration
2010/11/10
Some dynamical properties of time-dependent driven elliptical-shaped billiard are studied. It was shown that for the conservative time-dependent dynamics the model exhibits the Fermi acceleration [Ph...
CLT for the proportion of infected incividuals for an epidemic model on a complete graph
CLT epidemic model complete graph
2010/11/22
We prove a Central Limit Theorem for the proportion of infected individuals for an epidemic model by dealing with a discrete time system of simple random walks on a complete graph with n vertices. Ea...
Computing the partition function for perfect matchings in a hypergraph
hypergraph perfect matching partition function permanent
2010/12/6
Given non-negative weights wS on the k-subsets S of a km-element set V , we consider the sum of the products wS1 · · ·wSm over all partitions V =S1 [ . . . [ Sm into pairwise disjoint k-subsets Si.