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Up to now, the package can not be replaced by any other math tool in solving special differential equations, such as Abel equation in many application fields.

它是诸多应用领域内处理Abel型等特殊类型微分方程的十分有效的计算工具。

In addition to calculus with linear algebra, I had two semesters of mathematical analysis, partial differential equations, abstract algebra was also a senior this semester in the measurement theory.

除了微积分跟线性代数,我还上了两个学期的数学分析,偏微分方程,抽象代数还有在大四这个学期上的测量理论。

Moreover, multivariate splines are closely related with some topics in pure mathematics, such as, abstract algebraic, algebraic geometry and combinatorics.

另一方面,多元样条与基础数学的一些领域,如:抽象代数、代数几何、微分方程及组合数学等,亦有着密切关联。

One of the goals of this thesis is to devote ourselves to the differential equations which permit singularities and impulsive in abstract space.

本文中,我们利用拓扑度理论和有关非紧性测度的理论,在相对广泛的条件下,研究了抽象空间中几类微分方程正解及多解的存在性。

The differential eguations and boundary conditions are established, based on these hypotheses. The theoretical formulary about sample atom number with different diffusion coefficient are reasoned out; the relationship between the isotope abundance ratio and the sample wastage of melting and solid samples and the samples simultaneously at evaporation and decomposition are discussed in theory.

根据这三条假设建立了样品原子数的微分方程及边界条件,推导出了不同扩散系数的样品原子数的理论公式,从理论上讨论了熔融态、固态样品以及蒸发分解同时发生的样品同位素丰度比与样品消耗量间的关系。

If air resistance is neglected, and the speed of the object is measured over several short, consecutive intervals as it falls, the differences in the speed of the object can be used to determine the acceleration due to gravity.

如果忽略空气阻力,并在几个短暂、连续的时间间隔上测量物体的速度,就可以用物体速度的微分来计算重力加速度。

Based on traditional second-order SMC, integral action is introduced into the sliding surface to eliminate the steady state error and maintain the dynamic performance of Buck inverter.

在传统的比例微分二阶滑模的基础上,加入了输出电压偏差的积分环节,使系统本质上消除了稳态误差,同时保证相应的动态性能。

The method of address mapping used by CMAC is adopted in the new network.

由于高阶接收域函数的引入,使其可以获得较CMAC连续性强且有解析微分的复杂函数近似。

Based on thefundamental equations of motion of the theory of radial nonhomogeneousspherically isotropic elasticity,and,by introducing three displacementfunctions ψ,G and w,we get a simplifted system of the problem thatincludes an independent second order partial differential equation offunction ψ and a coupled partial differential equation set of functions Gand w.

针对沿径向为非均匀的且考虑温度和体积力影响的球面各向同性弹性体的振动问题,本文从三维基本运动方程出发,引入三个位移函数ψ,G和w,将问题简化为求解一个关于ψ的独立的二阶偏微分方程和一个关于G和w耦合的偏微分方程组。

Three displacement functions w,Gand ψare introduced in this paper tosimplify motion equations of elasticity problenis in spherically isotropic media to an indepen-dent partial differential equation concerning one displacement function ψand simultaneous equations concerning two other displacement functions w and G.

本文引入三个位移函数,将球面各向同性弹性力学运动方程,简化为关于ψ的二阶偏微分方程,和关于W和G的联立方程。在静力学问题中,联立方程可进一步简化,w和G可用另一位移函数F表示,而F满足一个四阶偏微分方程。

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