因子定理

high - grade gentle type ; lack one type ; positive power function ; successive integral ; linear differential equation ; solution

定理1： '卜'阶线性微分方程〔呻〕+ f的通解为：，二命{卜二〔丁〔·'一叮。·，dxldx…〕dx证明：两边同乘积分因子。，得： e

By using Chinese Remainder Theorem of input/output series, the internal connection between the structure of prime factor algorithm and Cooley-Tukey algorithms is revealed.

借助于输入输出序列的中国余数定理映射，本文揭示了素因子算法结构和Cooley-Tukey算法结构的内在联系。

The mean-variance spanning under the framework of HJ SDF with the help of two fund separation theorem is studied.

借助两基金分离定理，在HJ随机折现因子的框架下对均值－方差张成进行了研究。

With the help of its structure, this paper points out that the non-commutative finite solvable subsimple group will necessarily be a qualitative element group. And referring to the nature of qualitative element group, it can be easily identified the conditions that the ordered prime divisors in a solvable initial finite subsimple group should meet. Suppose that G is always a finite group.

利用其结构，指出了非交换可解有限次单群必为质元群，从而利用质元群的性质，可以很容易地初步确定了可解有限次单群的阶中素因子之间所必须满足的条件，主要得到下面的一些结论：定理1 G是非交换的可解有限次单群，则G′是G的唯一的非平凡正规子群，并且G′是初等交换p -群，此时| G |= p~n q，|G′|=p~n，。

By the time ordered perturbative theory and factorization, we analyze all the twist-4 evolution processes and get the relation between all the cut graphs, we obtain a new modified equation.

利用时序微扰论并根据因子化定理，我们找到有关扭度-4演化过程的不同切割图之间的联系，归纳出一个新的完整的高扭度修正的演化方程。

Daubechies'wavelet frame theorem is extended from one dimension to n dimensions. According to this framework, an example of n-dimensional radial wavelet is given. Differing from tensor product multidimensional wavelet, the radial wavelet is inseparable, locally supported and infinitely differentiable. The family, obtained by dilations and translations from this radial wavelet, constitutes a special type of radial wavelet frame in L〓.

Daubechies的框架定理推广到了n维情形，同时，也按照这一理论框架，给出了高维二进径向小波的具体例子，具有下列性质：ψ是无穷次连续可微的；ψ是局部支撑的，支集为‖x‖≤1；ψ含有分式因子，因此对&奇异点&更为敏感；ψ是不可分的，不同于张量积形式的高维小波；ψ是各向同性的。

The stress intensity factors defined in terms of the integral are derived from the Betti's reciprocal work theorem and expressed in terms of relative quantities on a path and semi-weight function.

由功能互等定理导出用半权函数和积分围道裂纹尖端的参考场所表示的所研究情况的应力强度因子的表达式。

Calculations on the basis of the self-consistent approximation are used to study the effects of slit cracks, elliptical cracks and penny-shaped cracks. The influence of slit cracks on the elastic moduli under all kinds of loading conditions is discussed by Betti's reciprocal theorem and Irwin's relation describing the released energy rate of fracture to the stress intensity factors. The friction between the cracks' surfaces is taken into account for the closed cracks.

采用自恰方法研究了狭长型，椭圆型及硬币型裂纹在荷载作用下对弹性常数的影响；采用Betti的互易定理以及lrwin关于断裂能量释放率与应力强度因子的关系，分析了狭长型裂纹在各种应力状态下对弹性常数的影响；分析研究了裂纹闭合时，由于裂纹面上摩擦力的存在，闭合裂纹时弹性常数的影响。

FCCPDEA, FCCNDEA reach similar theorems and conclusions, but they have different theoretical and practical meaning from the aspects of theoretical framework,objective function, factors affecting efficiency discriminators, possible production frontiers.

FCCPDEA，FCCNDEA具有相似的定理与结论，然而从理论基础、目标函数含义、影响有效性判别因子的因素及经验生产可能集这四方面来看，他们的理论与实践意义又有所不同。

The labia have now been sutured together almost completely.The drains and the Foley catheter come out at the top.

此刻阴唇已经几乎完全的缝在一起了，排除多余淤血体液的管子和Foley导管从顶端冒出来。

To get the business done, I suggest we split the difference in price.

为了做成这笔生意，我建议我们在价格上大家各让一半。