搜索结果: 1-15 共查到“数学 values”相关记录53条 . 查询时间(0.429 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Weak values as statistical estimation
统计估计 弱值 量子可观测值 最小方差
2023/11/15
Given a quantum observable and a state, one can construct a classical observable, such that it is the optimal estimate of the quantum observable, in the sense of minimum variance. We demonstrate how t...
Beginning with the conjecture of Artin and Tate in 1966, there has been a series of
successively more general conjectures expressing the special values of the zeta function
of an algebraic variety o...
The p-cohomology of algebraic varieties and special values of zeta functions
zeta functions algebraic varieties
2015/12/10
The p-cohomology of an algebraic variety in characteristic p lies naturally in the
category Db
c
.R/ of coherent complexes of graded modules over the Raynaud ring
(Ekedahl-Illusie-Raynaud). We stu...
For each ˉeld k, we deˉne a category of rationally decomposed mixed
motives with Z-coe±cients. When k is ˉnite, we show that the category is Tannakian, and we prove formulas relating the behaviour of...
We derive an asymptotic for the rst moment of Hecke L-series associated to canonical qua- dratic characters. This provides another proof and slightly generalizes recent results by Masri and Kim-Masri...
Correlated z-values and the accuracy of large-scale statistical estimates
large-scale statistical estimates Correlated z-values
2015/8/20
We consider large-scale studies in which there are hundreds or thousands of correlated cases to investigate, each represented by its own normal variate, typically a
z-value. A familiar example is pro...
A regularity result for the singular values of a transfer matrix and a quadratically convergent algorithm for computing its L_infinity-norm
Matrix and singular value differentiable function frequency singular value lipschitz second derivative
2015/8/12
The ith singular value of a transfer matrix need not be a differentiable function of frequency where its multiplicity is greater than one. We show that near a local maximum, however, the largest singu...
Calculation of Some Expected Values for Parameterized Mean Model with Gaussian Noise
Calculation Expected Values Parameterized Mean Model Gaussian Noise
2012/11/23
This document derives several expected values related to the parameterized mean model with Gaussian noise and their simplified forms.
Extremal values on the eccentric distance sum of trees
Eccentric distance sum Domination number Leaves Bipartition
2012/7/11
Let $G=(V_G, E_G)$ be a simple connected graph. The eccentric distance sum of $G$ is defined as $\xi^{d}(G) = \sum_{v\in V_G}\varepsilon_{G}(v)D_{G}(v)$, where $\varepsilon_G(v)$ is the eccentricity o...
Linear Mahler Measures and Double L-values of Modular Forms
Linear Mahler Measures Double L-values of Modular Forms Number Theory
2012/6/27
We consider the Mahler measure of the polynomial 1+x_1+x_2+x_3+x_4, which is the first case not yet evaluated explicitly. A conjecture due to F. Rodriguez-Villegas represents this Mahler measure as a ...
Extreme values for two-dimensional discrete Gaussian free field
Extreme values two-dimensional discrete Gaussian free field Probability
2012/6/15
We consider in this paper the collection of near maxima of the discrete, two dimensional Gaussian free field in a box with Dirichlet boundary conditions. We provide a rough description of the geometry...
Formulas for central critical values of twisted L-functions attached to paramodular forms
Formulas central critical values of twisted L-functions paramodular forms Number Theory
2012/6/7
In the 1980s B\"ocherer formulated a conjecture relating the central values of the imaginary quadratic twists of the spin L-function attached to a Siegel modular form $F$ to the Fourier coefficients o...
A study on multiple zeta values from the viewpoint of zeta-functions of root systems
multiple zeta values zeta-functions of root systems Number Theory
2012/5/9
We study multiple zeta values (MZVs) from the viewpoint of zeta-functions associated with the root systems which we have studied in our previous papers. In fact, the $r$-ple zeta-functions of Euler-Za...
On Mordell-Tornheim sums and multiple zeta values
Tornheim series Witten zeta function Euler sums multiple harmonic series multiple zeta values
2012/5/9
We prove that any Mordell-Tornheim sum with positive integer arguments can be expressed as a rational linear combination of multiple zeta values of the same weight and depth. By a result of Tsumura, i...
Values of certain L-series in positive characteristic
L-functions in positive characteristic Drinfeld modular forms function fields of positive characteristic
2011/9/19
Abstract: We introduce a family of L-series specialising to both L-series associated to certain Dirichlet characters over F_q[T] and to integral values of Carlitz-Goss zeta function associated to F_q[...