power series
[数] 幂级数
2025-11-24 18:29 浏览次数 11
[数] 幂级数
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then this paper simplified the differential eguation contraposing the cooling tower which is a special structure, and adopted the power series method to solve the differential eguation.
随后针对冷却塔这个特殊结构,把微分方程进行了简化,并且采用幂级数解法解答出自振微分方程。
in this paper, we propose a reduced linear representation of such distribution based on the formal power series on free monoid which can be easily used to calculate the probability distribution.
该文利用自由幺半群上的有理形式幂级数理论,构造出该概率分布的约化线性表示,从而完全解决了噪声变量的概率分布计算问题。
the concept of semicommutative module is introduced, and it is proved that the laurent polynomial extension and laurent power series extension of modules are semicommutative.
引入了半交换模的概念,并分别讨论模的罗朗多项式扩张和罗朗幂级数扩张的半交换性质。
this paper also introduces the calculating of matrix power series with the generalized spectral decomposition.
介绍了广义谱分解在计算矩阵幂级数中的应用。
in this note the algebraic independence of values of a set of power series with algebraic coefficients at transcendental numbers is given.
本文证明了一类具有代数系数的幂级数在超越数上值约代数无关性。
stress intensity factors at the craek tips are computed by complex variable functions and perturbation method and formulas are given in power series forms.
采用复变函数及摄动方法,最后以幂级数形式给出应力强度因子的计算公式。
the power series expansion method is utilized to study the collective behavior in dusty plasma consisting of cold dust particles and two-temperature isothermal ions.
用幂级数展开法研究了具有两种温度绝热离子的冷尘埃等离子体体系的集体行为。
the product forms of level one power series of lie type and level two power series of a type.
给出了水平一的李型幂级数和水平二的a型幂级数的乘积形式。
in this paper, we discuss how to use the geometric series to find the sums of power series and to represent functions by power series.
就此讨论一类等比级数在求幂级数的和函数以及将函数展开成幂级数时的应用。
abstract: the paper studies the random power series of general enough, and proves that the random power series of finite order do not have almost surely deficient function.
文摘:研究了十分一般的随机幂级数,并证明了有限级的随机幂级数几乎必然没有亏函数。
derived and solved the governing vibration equations of orthotropic membrane, and obtained the power series formula of nonlinear vibration frequency of rectangular membrane with four edges fixed.
得到了按矩形四边固支边界考虑时,膜材大挠度非线性振动频率的幂级数表达式。
when z is assigned the meaning of a complex variable, problem of 「closed form」 of formal power series emerges.
当指定z为复数变元时,就有了形式幂级数的「变换」函数,即闭合形式的问题。
when the power series is used as the basic functions in the finite strip method, the computation becomes simple and convenient.
在有限条法中,采用幂级数作基函数,运算较为简单、方便。
a mixed scheme based on fixed mode expansion and power series expansion is suggested to simplify the calculation of the condensed dynamic rigidity of a structure.
本文提出一种基于模态展开和幂级数展开的混合方案,用于简化结构凝聚动刚度的计算。
the statistical distributions of surface elevation and wave height are derived with the expansion of their moments into power series of the square root of the spectrum width.
采用风浪谱参量化的方法将随机波面无因次化,把波面与波高概率分布的各阶矩展开为谱宽度根方的幂级数,并由此导出波面与波高的统计分布。
by using power series expansion method, the integrand is expressed as the form of a series, and then the ellipse integral is expressed as a series through simple integration.
然后利用幂级数展开方法将被积函数表示为级数的形式;再经过简单的积分计算将椭圆积分表示为级数;
based on the complex modal theory and power series expansion theorem, a modal acceleration method for calculating the frequency response fonction (far) of viscous damped systems was derived.
基于复模态理论和幂级数展开原理,导出了一种求解粘性阻尼系统频响函数的模态加速方法。
itis concluded that the synthesis of a multi-variate nonlinear power series network may be reduced to several linear direct product connections.
最后,推断了多变量非线性幂级数网络的综合可化成多个线性直积网络联接。
and emphasis is laid on the effect upon the system computation accuracy by choosing power series as component shape functions.
并重点放在选用幂级数作为分部形态函数时对系统计算精度的影响方面。
in solving the nonlinear bending equations, a modified power series method is proposed.
在求解非线性弯曲方程时,我们提出了修正幂级数方法。
is also a function of extreme value theory, and many other mathematical theory of power series basis.
也是函数的极值、幂级数理论等众多数学理论的基础。
by assuming the weak lens focal length expression to be the first term in a power series a simple and accurate formula can be derived for the objective focal length of a magnetic electron lens.
用假设弱透镜焦距表达式是一个幂级数中的第一项的方法,可以导出相当準确且便于实用的电磁电子透镜物镜焦距公式。