共查询到20条相似文献,搜索用时 31 毫秒
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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
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J.B. Remmel 《Linear and Multilinear Algebra》1982,11(1):45-100
We give a bijective proof of a formula due independently to Frobenius and Young for the number of standard Young tableau of shape λ for λ any partition. Frame, Robinson, and Thrall derived their hook formula for the number of standard Young tableau from the Frobenius-Young formula. As a corollary to our bijective proof of the Frobenius-Young formula, we also give a bijective proof of the Frame-Robinson-Thrall hook formula. 相似文献
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Olayiwola Otolorin 《International Journal of Mathematical Education in Science & Technology》2013,44(5):539-546
A new Newton-like iterative formula for the solution of non-linear equations is proposed. To derive the formula, the convergence criteria of the one-parameter iteration formula, and also the quasilinearization in the derivation of Newton's formula are reviewed. The result is a new formula which eliminates the limitations of other methods. There is now no need to first ensure a good initial approximation to the root, complex roots are found without necessarily starting from a complex formulation of the iteration formula, and the convergence is faster. The rate of convergence is discussed, and examples given. 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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The paper is devoted to the problem of finding explicit combinatorial formulae for the Pontryagin classes. We discuss two
formulae, the classical Gabrielov-Gelfand-Losik formula based on investigation of configuration spaces and the local combinatorial
formula obtained by the author in 2004. The latter formula is based on the notion of a universal local formula introduced
by the author and on the usage of bistellar moves. We give a brief sketch for the first formula and a rather detailed exposition
for the second one. For the second formula, we also succeed to simplify it by providing a new simpler algorithm for decomposing
a cycle in the graph of bistellar moves of two-dimensional combinatorial spheres into a linear combination of elementary cycles. 相似文献
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The best quadrature formula has been found in the following sense: for a function whose norm of the second derivative is bounded
by a given constant and the best quadrature formula for the approximate evaluation of integration of that function can minimize
the worst possible error if the values of the function and its derivative at certain nodes are known. The best interpolation
formula used to get the quadrature formula above is also found. Moreover, we compare the best quadrature formula with the
open compound corrected trapezoidal formula by theoretical analysis and stochastic experiments. 相似文献
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In the framework of the Mermin approach, we obtain formulas for the longitudinal electric conductivity in a quantum collisional plasma with a collision frequency depending on the momentum. We use a kinetic equation in the momentum space in the relaxation approximation. We show that as the Planck constant tends to zero, the derived formula transforms into the corresponding formula for a classical plasma. We also show that as the frequency of collisions between plasma particles tends to zero (the plasma transforms into a collisionless plasma), the derived formula transforms into the well-known Klimontovich-Silin formula for the collisionless plasma. We show that if the collision frequency is constant, then the derived formula for the permittivity transforms into the well-known Mermin formula. 相似文献
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WANG Xinghua~ 《中国科学A辑(英文版)》2005,48(1)
The best quadrature formula has been found in the following sense:for afunction whose norm of the second derivative is bounded by a given constant and thebest quadrature formula for the approximate evaluation of integration of that function canminimize the worst possible error if the values of the function and its derivative at certainnodes are known.The best interpolation formula used to get the quadrature formula aboveis also found.Moreover,we compare the best quadrature formula with the open compoundcorrected trapezoidal formula by theoretical analysis and stochastic experiments. 相似文献
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John Boris Miller 《Aequationes Mathematicae》1985,28(1):64-68
We give a formula for the remainder term in the operator-theoretic formulation of the Euler-Maclaurin formula, using Laplace transforms. There is also a related formula for the partial sums.Keywords and phrases: Euler-Maclaurin sum formula, remainder term, Laplace transform, Bernoulli polynomial.Dedicated to Professor Janos Aczél on his 60th birthday 相似文献
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本文研究分数扩散过程和其分部积分公式的关系.首先利用Bismut方法给出拉回公式,进而得到分数扩散过程的分部积分公式。反过来,证明了分数扩散过程可由其分部积分公式唯一刻画. 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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Nobukazu Shimeno 《Integral Transforms and Special Functions》2018,29(11):842-851
We generalize classical Hobson's formula concerning partial derivatives of radial functions on a Euclidean space to a formula in the Dunkl analysis. As applications we give new simple proofs of known results involving Maxwell's representation of harmonic polynomials, Bochner–Hecke identity, Pizzetti formula for spherical mean, and Rodrigues formula for generalized Hermite polynomials. 相似文献
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The Diophantine Problem of Frobenius is to find a formula for the least integer not representable as a nonnegative linear form of positive integers. A reduction formula for the Diophantine Problem of Frobenius is presented. The formula can be applied whenever there are common divisors of the coefficients except for the whole set of them. The reduction formula is expressed in terms of the least common multiple of the coefficients. For some classes of coefficients this formula gives an exact answer for the problem of Frobenius, and these classes are fully characterized in the paper. 相似文献
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《Comptes Rendus de l'Academie des Sciences Series IIA Earth and Planetary Science》1999,328(9):763-766
We give a formula for the capacity of an union of three intervals. In the case of two intervals such a formula has been found by N.I. Achieser. The formula proposed here uses genus two theta functions and we recover Achieser's formula when we degenerate an interval or when there is a symmetry. 相似文献
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本文讨论高等数学课程中,高斯公式、格林公式和牛顿-莱布尼兹公式之间的内在联系,指出格林公式和牛顿-莱布尼茨公式可以分别看作一维和二维欧氏空间中的高斯公式.实际上,n维欧氏空间中的高斯公式可以看作微积分基本定理在高维欧氏空间中的表述形式.利用高斯公式还可以导出定积分、二重积分和任意n重积分的分部积分公式. 相似文献
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在一般的文献中,Poincare-Hopf的曲面奇点指数公式的证明需要利用Euler的曲面示性数公式。本文将通过微分方程的定性方法,直接证明了Poincare-Hopf的奇点指数公式,然后作为简单的应用可得到Euler的曲面示性数公式。 相似文献
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By means of a new technique of integral representations in Cn given by the authors, we establish a new abstract formula with a vector function W for smooth functions on bounded domains in Cn, which is different from the well-known Leray formula, This new formula eliminates the term that contains the parameter λ from the classical Leray formula, and especially on some domains the uniform estimates for the -equation are very simple. From the new Leray formula, we can obtain correspondingly many new formulas for smooth functions on many domains in Cn, which are different from the classical ones, when we properly select the vector function W. 相似文献