共查询到20条相似文献,搜索用时 703 毫秒
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二倍角公式是三角函数中常用的一组公式,通过角的三角函数值的一些变换关系来表示其二倍角的三角函数值,二倍角公式包括正弦二倍角公式,余弦二倍角公式以及正切二倍角公式,二倍角公式均可通过和角公式推出,二倍角公式及其变形运用在处理三角函数问题中有着十分重要的作用,下面举例说明.题型1二倍角公式的正用题型. 相似文献
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通过对Ostrowski不等式的改进,扩大了Ostrowski积分公式的适用范围,将该积分公式应用于数值积分推广了经典的中点积分公式、梯形积分公式和Simpson积分公式,同时得到相应的最佳误差限,并给出了具体的数值应用. 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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采用类比和元素法的思想,通过流体流过曲面的流量推测高斯公式的形成过程,并通过一个具体的例子,验证高斯公式的正确性和有效性. 相似文献
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高精度数值积分公式的构造及其应用 总被引:4,自引:1,他引:3
通过对一个给定的数值积分公式进行加速、改进,得到了两类新的精度更高的数值积分公式.然后将其进行复合,得到复合公式,并将复合公式推广到计算二重积分.最后进行了数值实验,数值计算结果表明:两类新的数值积分公式都具有比给定的公式更高阶的精度和更快的收敛速度. 相似文献
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通过贴近生活的例子,引入贝叶斯公式,然后,介绍信用问题和在生产中的索赔问题介绍贝叶斯公式的实际应用,以使在教学中能帮助学生更深入地理解该公式. 相似文献
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利用旋转曲面方程,以及曲面积分和曲线积分的计算方法,可将旋转曲面的面积通过第一型曲线积分表示出来并进行计算. 相似文献
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We introduce a new weighted wavelet-like transform, generated by the Poisson integral and a “wavelet measure.” By making use of the relevant Calderón-type reproducing formula, we obtain an explicit inversion formula for the Flett potentials which are interpreted as negative fractional powers of the operator (E+Λ), where Λ=(−Δ)1/2, Δ is the Laplacian and E is the identity operator. 相似文献
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Ding-dong Gong 《高校应用数学学报(英文版)》2008,23(3):273-278
Kytmanov and Myslivets gave a special Cauchy principal value of the singular integral on the bounded strictly pseudoconvex domain with smooth boundary. By means of this Cauchy integral principal value, the corresponding singular integral and a composition formula are obtained. This composition formula is quite different from usual ones in form. As an application, the corresponding singular integral equation and the system of singular integral equations are discussed as well. 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
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以通量概念引入第二类曲面积分、以环流量概念引入第二类曲线积分,并用向量形式表达高斯公式、斯托克斯公式等关系,以期达到第二类曲线(面)积分部分的知识点符号表达简明、计算和公式容易记忆的目的. 相似文献
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积分微分方程组的若干求解公式 总被引:1,自引:0,他引:1
提出三类积分微分方程组,利用迭代法及变上限函数的求导法则,论证其可积性,给出这些积分微分方程组的求解公式,是对文献中内容的深化与拓广. 相似文献
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Yoon Tae Kim 《Journal of Mathematical Analysis and Applications》2009,359(1):106-125
We introduce two types of the Stratonovich stochastic integrals for two-parameter processes, and investigate the relationship of these Stratonovich integrals and various types of Skorohod integrals with respect to a fractional Brownian sheet. By using this relationship, we derive a differentiation formula in the Stratonovich sense for fractional Brownian sheet through Itô formula. Also the relationship between the two types of the Stratonovich integrals will be obtained and used to derive a differentiation formula in the Stratonovich sense. In this case, our proof is based on the repeated applications of differentiation formulas in the Stratonovich form for one-parameter Gaussian processes. 相似文献
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ShengMao Zhu 《中国科学 数学(英文版)》2012,55(1):119-130
Hodge integrals over moduli space of stable curves play an important roles in understanding the topological properties of moduli space.ELSV formula connects the Hodge integrals with Hurwitz numbers,and the generating function of Hurwitz numbers satisfies the cut-and-join equation.Therefore,it is natural to consider how to use the cut-and-join equation for Hurwitz numbers to compute Hodge integrals which appear in ELSV formula.In this paper,at first,we will review the method introduced in Goulden et al.’s paper to get the λ g conjecture for Hodge integral.Through some variables transformation,the generating function of Hurwitz number becomes a symmetric polynomial which satisfies a symmetrized cut-and-join equation.By comparing the coefficients of the lowest degree term of both sides in this equation,we can get the λ g conjecture.Then,in a similar way,we obtain our main result in this paper:a recursive formula for Hodge integral of type contains only one λ g 1-class.We also point out that our results are closely related to the degree 0 Virasoro conjecture for a curve. 相似文献