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1.
Cotes数值求积公式的校正 总被引:2,自引:0,他引:2
本文研究了Cotes数值求积公式代数精度的问题,给出了Cotes求积公式余项"中间点"的渐进性定理.利用该定理得到了改进的Cotes求积公式,并证明了改进后的Cotes求积公式比原来的公式具有较高的代数精度. 相似文献
2.
Mehmet Korkmaz 《Numerical Methods for Partial Differential Equations》2021,37(1):406-421
In this study, in addition to the formula of regression sum of squares (SSR) in linear regression, a general formula of SSR in multiple linear regression is given. The derivations of the formula presented are given step by step. This new formula is proposed for estimation of the SSR in multiple linear regression. By using this formula, the researcher can find easily SSR and so the researcher can compose easily the table of variance analysis to interpret the regression made. 相似文献
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应坚刚 《应用数学学报(英文版)》1998,14(1):24-27
1.IntroductionInthispaperweshallestablishaformularelatingtheenergyfunctionalofarightMarkovprocesstothatofanyofitssubprocesses.LetXbearightMarkovprocessonaRadonspace(E,e)andManexactdecreasingmultiplicativefunctionalofX.Write(X,M)forthecorrespondingsubprocess,andletLandLMdenotetheenergyfunctionalsofXand(X,M)respectively.IfMdoesnotvanish,theStieltjes'logarithm[M]ofM,definedbyisanadditivefunctionalofX.WeshallprovethatforanX-dissipativemeasurefandan(X,M)-excessivefunctionu,u UIM]uisanX-… 相似文献
5.
Cristinel Mortici 《Applied mathematics and computation》2010,217(6):2579-2585
The aim of this paper is to improve Ramanujan’s formula for approximation of the factorial function, starting from Burnside’s formula in contradistinction with the classical formula that starts from Stirling’s formula. 相似文献
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提出了一类计算定积分的高精度柯特斯校正公式,通过两种方法进行了推导,给出了它的复化公式及其加速公式,并得到了它们的误差估计和收敛阶.数值实验验证了复化柯特斯校正公式及其加速公式的高效性. 相似文献
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Mathias Lederer 《Annals of Combinatorics》2006,10(3):389-394
From Kostant’s multiplicity formula for general linear groups, one can derive a formula for the Kostka numbers. In this note
we give a combinatorial proof of this formula.
Received January 7, 2005 相似文献
8.
E. N. Mikhalkin 《Siberian Mathematical Journal》2006,47(2):301-306
We obtain an integral formula for a solution to a general algebraic equation. In this formula the integrand is an elementary function and integration is carried out over an interval. The advantage of this formula over the well-known Mellin formula is that the integral has a broader convergence domain. This circumstance makes it possible to describe the monodromy of a solution for trinomial equations. 相似文献
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Mitsuhiko Ebata Masaaki Eguchi Shin Koizumi Keisaku Kumahara 《Journal of Fourier Analysis and Applications》2006,12(1):1-15
We give a sampling formula using the Radon transform along a maximal geodesic subspace of the Riemannian symmetric space.
For the real hyperbolic space we can get a total sampling formula. To get this formula, we prepare a sampling formula for
the sphere. 相似文献
11.
本文主要构造了一个数值积分公式,进一步研究了数值积分公式中的中间点的渐进性,基于中间点的渐进性质,得到了该数值积分公式的校正公式,最后给出数值试验,数值试验表明该公式的精度非常高。 相似文献
12.
P. Sawyer 《Transactions of the American Mathematical Society》1997,349(9):3569-3584
In this note, we obtain a recursive formula for the spherical functions associated with the symmetric cone of a formally real Jordan algebra. We use this formula as an inspiration for a similar recursive formula involving the Jack polynomials.
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本文首先利用Vandermonde矩阵得到矩形网格上二元多项式插值公式,然后利用该公式建立一类二元有理插值问题的存在性判别准则及有理插值函数的表现公式,并给出数值例子 相似文献
14.
本文研究了Rn中凸集上不变的赋值函数与凸体的投影问题.利用赋值函数的方法,我们获得了凸体在任意维平面上投影的Cauchy公式和Kubota公式,这些结果推广了经典的Cauchy公式和Kubota公式. 相似文献
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渠刚荣 《应用数学学报(英文版)》2000,16(1):70-77
1. IntroductionSince Radon obtained the inverse formula of Radon transform in 1917, different inversemethods such as Fourier inversion, convolution back-projection inversion etc. have beeninvestigated['l']. Wavelet as a useful tool is interested in the inversion of Radon transformin recent years['--']. The application of wavelet analysis to Radon transform was proposedin I4] and [5]. An inversion formula based on continuous wavelet transform was derivedin [6] and [7]. This formula was based… 相似文献
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Klaus-J. Engel 《Results in Mathematics》1991,20(1-2):444-453
In this paper we give an explicit formula for semigroups generated by 2×2 operator matrices. Using this formula we can derive an estimate for the growth bound of the associated matrix generator. Finally these results are applied to a complete second order Cauchy problem yielding an explicit formula and a growth estimate for the solution of this problem. 相似文献
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Dennis E. White 《Aequationes Mathematicae》1977,16(1-2):59-64
We develop a formula for enumerating the partitions of a set up to the action of a group. We give some special cases of this formula and illustrate its use with an example. Some comments are made relating the formula to an earlier formula.This work was supported in part by NSF Contract GP-43010. 相似文献
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In this paper, we discuss the Cauchy-type integral formula of hypermonogenic functions on unbounded domains in real Clifford analysis, then we extend the Plemelj formula and Cauchy–Pompeiu formula of hypermonogenic functions on bounded domains to unbounded domains. We also deal with the Green-type formula on unbounded domains and get several important corollaries. 相似文献
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在本文中,我们利用Ito游程理论给出一般Markov链的平稳分布,该公式包含了极小过程中断和含瞬时态的情形。最后我们给出一个含瞬时态的Markov链的计算例子。 相似文献