定理

It simulates the circuit breaker with a zero impedance branch, and adopts the linear network characteristic and theory, variable structure and variable parameter analyses to transfer the short-circuit current flow in the bus-bar equality into each side of circuit breaker, and deduces the sequence component model and algorithm for calculating the short-circuit current of circuit breaker when the short-circuit fault occu...

该方法将断路器作为一条阻抗为零的支路来模拟，运用线性网络特性、定理及变结构与变参数的分析方法，将母线上短路时的短路电流等值转移到断路器两侧，导出了相当于在断路器两侧分别发生短路故障时，流过断路器的短路电流的序分量模型和算法。

As functions of the function of mathematics, the Key theorem of calculus of variations is Euler LaGrange, it can be used to the pan-seeking function of the maximum and minimum of mathematical.

变分法是处理函数的函数的数学领域，关键定理是欧拉－拉格朗日方程，用来求的泛函数的极大值和极小值的数学方法。

In this thesis, sound wave path equation is derived from Fermat's theorem and the calculus of variations, and then the temperature field is reconstructed by the combination least-square method and the modified sound wave path.

本文通过求解由费马定理和变积分原理确定的声波路径方程，结合最小二乘法实现了声波路径的修正。

Applied with the holistic analysis method, based on the theorem of maximal probability multiplication and the principle of cannikin, the paper establishes a coordination model between the sub-systems (river, wetland, lake, city, dryland) within the ecological water allocation system of the river basin.

本文应用整体分析法，基于最大概率乘积定理和"木桶法则"，构造了流域生态用水分配系统的协调性评价模型，分析了各子系统生态用水分配的合理度，完善了流域生态用水分配合理性的评价内容和方法。

Let a =∈〓. Then corresponding to 62 equivalence classes in χ for ～, we have 144polynomial elements in one variable in canonical basis, each of them also cor-responds to a region which consists of six independent inequalities.

定理。设a=∈〓。那么与χ关于～的62个等价类对应，在典范基中有144个单变量多项式元素，每个单变量多项式元素也对应一个由六个独立不等式构成的区域。

In this paper,the author deduces the basic equation of statistical Mechanics- Liouville Theorem in two different ways from analytical mechanics′ concepts of phase space and the Hamilton Canonical Equation.

本文笔者用两种不同思路由分析力学的相空间概念和哈密顿正则方程推导了统计力学的基本方程———刘维定理。

It has been showed that the quantum PCII can be still valid for the general case Jacobi J 1, which is different from quantum Noether theorem. The equivalence between quantum canonical equation and PCII is deflved at the quantum level. The comparisons of these results in quantum level with those in classical theories are discussed in detail. The relationship of canonical transformation with quantum PCII is obtained.

结果表明，当变换的Jacobi行列式不为1时，量子PC积分不变量仍然存在，从而把PC积分不变量推广到了最一般情形；在量子水平上，证明了量子正则方程与该积分不变量之间的等价性；比较了经典与量子PC积分不变量以及PC积分不变量与Noether定理；给出正则变换与量子PC积分不变量间的关系。

A differential equation is introduced to construct canonical dual function. The corresponding perfect duality theory is established to show the relationship between the KKT points of the primal problem and the canonical dual problem.

通过引入常微分方程和构造Canonical对偶函数的局部形式，引入了相应的对偶定理，勾勒出了原问题的KKT点和对偶问题的KKT点两者之间的关系。

At the beginning of this thesis, the author gives the definition and the equivalent definition of convex function, and then proves the equivalent relationship between them. Secondly the author proposes the decision theorem of convex function which provides a judgment basis of whether a function is a convex function. Thirdly the author summarizes and proves the convex function's operational, basic, differential and integral property. Finally the author proves several famous convex function inequalities, such as Jensen inequality, Holder inequality, Cauchy inequality. The author also provides the application of these inequalities and illustrates the importance of convex function's basic inequality and integral property in the proving process.

本文开始给出了凸函数的定义及等价定义，并证明了它们之间的等价关系；接着提出了凸函数的判定定理，对一个函数是否是凸函数提供判断依据；然后对凸函数的运算性质、基本性质、微分性质、积分性质四个方面的性质进行了总结，并给予了证明；最后证明了凸函数的几个著名不等式詹森不等式、赫尔德不等式、柯西不等式，给出了这几个不等式的一些应用实例，并举例说明凸函数的基本性质和积分性质在不等式证明过程中的重要作用。

At the beginning of this thesis, the author gives the definition and the equivalent definition of convex function, and then proves the equivalent relationship between them. Secondly the author proposes the decision theorem of convex function which provides a judgment basis of whether a function is a convex function. Thirdly the author summarizes and proves the convex function's operational ,basic , differential and integral property. Finally the author proves several famous convex function inequalities, such as Jensen inequality, Holder inequality, Cauchy inequality and Minkowski inequality. The author also provides the application of these inequalities and illustrates the importance of convex function's basic inequality and integral property in the proving process.

本文开始给出了凸函数的定义及等价定义，并证明了它们之间的等价关系；接着提出了凸函数的判定定理，对一个函数是否是凸函数提供判断依据；然后对凸函数的运算性质、基本性质、微分性质、积分性质四个方面的性质进行了总结，并给予了证明；最后证明了凸函数的几个著名不等式詹森不等式、赫尔德不等式、柯西不等式和闵可夫斯基不等式以及这几个不等式的应用，并举例说明凸函数的基本性质和积分性质在不等式证明过程中的重要作用。

By the time of its fall, most of the prisoners were writers who had written against the corruptions of the government.

到它被攻陷的时候，里面多数的犯人是写了反对政府贪污文章的作家。

The most obvious variation to ovum morphological character was that the color was changed from light green to sepiaceous in embryonic development, and all the ovums were almost hatched after 96h.

在胚胎发育过程中卵的形态特征最明显的变化是颜色从淡绿到深褐色，卵在发育96h后卵基本全部孵化。