搜索结果: 1-6 共查到“数理逻辑与数学基础 functional”相关记录6条 . 查询时间(0.093 秒)
Recursion Relations and Functional Equations for the Riemann Zeta Function
Riemann zeta function zeros of zeta function recursion relation of zeta function functional equation of zeta function
2011/9/14
Abstract: New recursion relations for the Riemann zeta function are introduced. Their derivation started from the standard functional equation. The new functional equations have both real and imaginar...
A direct proof of the functional Santalo inequality
the functional Santalo inequality math
2010/11/15
We give a simple proof of a functional version of the Blaschke-Santalo inequality due to Artstein, Klartag and Milman. The proof is by induction on the dimension and does not use the Blaschke-Santalo ...
Deciding the dimension of effective dimension reduction space for functional and high-dimensional data
effective dimension reduction space high-dimensional data
2010/11/18
In this paper, we consider regression models with a Hilbert-space-valued predictor and a scalar response, where the response depends on the predictor only through a finite number of projections. The ...
STABILITY PROBLEM FOR JENSEN-TYPE FUNCTIONAL EQUATIONS OF CUBIC MAPPINGS
Jensen equation Hyers--Ulam--Rassias stability cubic mapping
2007/12/11
In this paper, we establish the general solution and the generalized Hyers--Ulam--Rassias stability problem for a cubic Jensen-type functional equation, \begin{eqnarray*} 4f\Big(\frac{3x+y}{4}\Big)+4f...
Functional self-similarity and renormalization group symmetry in mathematical physics
Functional self-similarity renormalization group symmetry mathematical physics
2010/11/1
The result from developing and applying the notions of functional self-similarity and the Bogoliubov renormalization group to boundary-value problems in mathematical physics during the last decade are...
Graph-Laplacians and Dirac Operators on (Infinite) Graphs and the Calculation of the Connes-Distance-Functional
Graph-Laplacians Dirac Operators Calculation the Connes-Distance-Functional
2010/11/1
We develop a graph-Hilbert-space framework, inspired by non-commutative geometry, on (infinite) graphs and use it to study spectral properies of \tit{graph-Laplacians} and so-called \tit{graph-Dirac-o...