查询词典 harmonic integrals

The last two integrals correspond to the natural boundary conditions.

最后两个积分对应于自然边界条件。

And presents a non singular algorithm to deal with the difficult problem of the evaluation of the nearly strong singular and hypersingular integrals.

所以几乎强奇异和超奇异积分被化为无奇异的规则积分与解析积分的和，可由通常的Gauss数值积分解出。

One is for Green's function in elements by using linear integrals; the other is for its normal derivative by the divergence theorem.

作法是仅需对原有的奇异性核函数加入一项使其异性消除，同时再将函数的解析积分值减去原方程式。

The subjects include :(1) Limits and continuity,(2) The derivative,(3) The applications of derivative,(4) Partial derivative,(5) Infinite series,(6) Integration,(7) The technique of integral,(8) The applications of integration,(9) Multiple integrals.

主要课程包含有：(1)极限与连续，(2)导函数，(3)导函数的应用，(4)偏导函数，(5)无穷级数，(6)积分，(7)积分的技巧，(8)积分的应用，(9)重积分。

The advantage and disadvantage of NMF model have been analyzed theoretically and practically by numerical integrals of radiosonde data.

相比于原来的公式，在低高度角的观测精度上可能有一定的提高。

The advantage and disadvantage of NMF model havebeen analyzed theoretically and practically by numerical integrals of radiosonde data.

相比于原来的公式，在低高度角的观测精度上可能有一定的提高。

In study of the truss structural dynamic characteristics analysis, randomness of the structural physical parameters and geomtric ones are all considered. The finite element model of the stochastic truss is built and the random functions of its natural frequencies are obtained by use of the Rayleigh quotient. Employing probabilistic distribution function expression for the random functions, through a series of mathematical processing including determination of limits of integrals, variable substitution etc., the probaabilistic density function for the truss natural frequencies are gained to realige accurate calculation for the reliability of the truss natural frequencies.

考虑结构物理参数和几何参数的随机性，通过构建随机参数桁架结构的有限元模型，利用瑞利商公式获得了结构固有频率随机函数的计算表达式，应用随机函数的概率分布函数表达式，通过确定积分区间、变量替换、积分顺序变换等一系列数学上的处理，获得结构固有频率的概率密度函数，进而实现对结构固有频率可靠度的精确计算。

Since there is natural different of the kinematic density formula for pairs of intersecting lines in two-dimensional surface and three-dimensional space, the inequalities for double chord-power integrals have studied from two side of two-dimensional surface and three-dimensional space using chord-power intergral inequality. Schwarz inequality. Holder inequality and so on.

由于二维平面和三维空间上的相交直线偶的运动不变密度公式有着本质的不同，本文从二维平面和三维空间两个角度，利用弦幂积分不等式，Schwarz不等式，Holder不等式等不等式分别得到了一系列双弦幂积分不等式。

The necessarity and sufficiency condition of weakly sequential semicontinuity for variational integrals are obtained in the setting of Orlicz-Sobolev space, which generalizes the corresponding results for variational problems with polynomial growth.

研究了非多项式增长的变分泛函，利用Orlicz空间理论，得到了其在Orlicz-Sobolev空间中弱序列下半连续的充要条件，推广了关于多项式增长的变分泛函的相应结论。

Impsons Integration: In numerical analysis, Simpson s rule is a method for numerical integration, the numerical approximation of definite integrals.

pecifically：：辛普森整合：数值分析中，辛普森法则是一种方法，数值积分，数值逼近定积分。具体来说

There are different types of personal loans available.

有许多不同类型的个人贷款优惠。

The above mentioned teaching model of spiral rising can be used to avoid rigidness in teaching.

上述螺旋式上升的教学模式，可以避免教学形成模式後的僵化现象。