Estimating the Sum of a Series 估计级数和 我们先看一下 第n项之后的和: 对应的图像为: 我们可以知道: 同理,对于 我们可以知道: 我们可以得到定理: 例子5 (a) 首先,前10项和,我们直接求就行: 对应的积分为: 我们根据上面公式,有: 所以,对应的误差 小于 0.05 (b) 如果要让误差在0.0005内,则由: 有...
LVII. On the expression for the complete elliptic integral of the second kind as a series proceeding by sines of multiples of the modular angleElderly CareThe case of Ms. Nancy Cruzan is the first so-called "right to die" case to be heard by the US Supreme Court. The Missouri Supreme ...
摘要: We present a new single sum series evaluation of Moll's quartic integral and present two new generalizations.关键词:Rational integrals WZ-method Hypergeometric functions 33C05 33E20 DOI: 10.1007/s11139-010-9241-6 被引量: 6 年份: 2011 ...
The radiance is also extended to a series of Legendre polynomials and, from the RTE, one eventually obtains a system of equations for unknown coefficients b n . In this paper, we apply an inverse procedure of a different kind. First, we expand the radiance in successive scattering orders ...
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Integral geometry of unitary area measures The existence of kinematic formulas for area measures with respect to any connected, closed subgroup of the orthogonal group acting transitively on the uni... T Wannerer - 《Advances in Mathematics》 被引量: 58发表: 2013年 A series of unitary irreducibl...
Several series expansions for the first-order generalized exponential integral function, along with a series expansion for the general nth order GEIF, are derived. The convergence issues of these series expansions are investigated numerically as well as theoretically, and a recurrence relation which ...
c)org-superstar-modetries to prettify in a context-sensitive fashion: It strives to only recognize item bullets which are reallymeantto be item bullets. YourSRCblocks are safe! d) Instead of providing the symbol of an existing face in a variable to replace Org’s usual title face(s) for...
This paper is concerned with the summation of series (1). To find the sum of the series (1) we first derive formulas for the summation of series whose general term contains a product of two trigonometric functions. These series are expressed in terms of Riemann's zeta, Catalan's beta fun...
Authors: Beloslav Riečan , Tibor Neubrunn Part of the book series: Mathematics and Its Applications (MAIA, volume 411) 4811 Accesses 83 Citations This is a preview of subscription content, log in via an institution to check access. About...