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Numerical differentiation is that derivative value of a function at a certain point is approximately solved in discrete method.

中文摘要：数值微分就是用离散方法近似地求出函数在某点的导数值，关于数值微分已有许多求解方法，但这些方法都有各自的局限性，并且关于高阶导数近似逼近的方法研究相对较少。

The evolvement of Diffluence River is the more complicated than Single River, because the diversion"s thing is changed with channel"s distortion. The river diversion is the general reflection of a good many factors, which mutually influence and adjust. In particular, when main channel occurs scouring-silting change, which causes the movement of water, sediment, and river bed in river system, the diversion will more be changed, with the study on division of discharge and sediment been further into, some practical engineering problem are solved.

目前，在对河道分流的认识与治理开发上虽取得了不少成绩，但随着社会经济的发展，人们对分流河道演变规律的认识与治理要求越来越高，随着人类对河流改造活动的加剧，河道的水沙条件可能发生急剧的改变，这些变化有可能使分流分沙的缓慢变化加剧，甚至改变原来的分流规律，许多研究者对分流分沙进行了较深入的研究，并能较好地解决了工程实际问题。

Second, we design and implementation the tax-controlled system and whole security of data of the system. We integrate application the encrypted algorithms technology, digital signature, key managing and digital digest, etc. And combine such hardware equipment as CPU card and POS machine, has solved the systematic security wholly.

然后对税控系统的整体系统及整体安全性进行设计与实现，综合应用密码技术、数字签名、密钥管理和数字文摘等，结合CPU 卡和税控器等硬件设备，整体解决了税控系统的安全性。

The equation is solved by the dimensional analysis method, and the expression of gas leakage concentration in soil is deducted.

通过量纲分析的方法对扩散方程求解，得到了燃气在土壤中的泄漏扩散浓度表达式，通过实例计算分析得出了燃气在土壤中的泄漏扩散规律。

The differential equation of the network is solved by solving a simple one dimensional differential equation.

通过求解简单的一维微分方程求出了网络的解的解析表达式。

We'll continue to work diplomatically to get this problem solved.

我们将继续用外交努力来解决这个问题。

This method can be used to research complex atoms and molecules, due to the Dirac equation can been solved by DVM and its flexible in arranging calculation points and choosing numerical basis sets.

分子计算程序的建立旨在最终能计算大分子的电子动量谱。

In 1976, S. Chandrasekhar solved the decoupling problem of the Dirac equation with non-zero rest mass in a Kerr background, thus provided the possibility of attacking the problem of the Hawking evaporation of Dirac particles.

在Kerr背景时空中求解Dirac方程是一个长期没有解决的问题。1976年Chandrasekhar成功地找到了Kerr背景时空中静止质量不为零的Dirac方程的退耦和分离变量的量子方程。

To permanent magnetic brushless direct current motors, torque tipple is one of the major problems to be solved.

在永磁无刷直流电机中，转矩脉动是需要解决的主要问题之一。

The algorithm can give the solution of resultant finite element equations by means of the combination of direct Crout decomposition method and blocking technology. Thereby, we have solved the problem that the computer stops running the program because of not enough memory.

该算法采用直接法中克劳特分解法与分块技术相结合来求解已合成的总体有限元方程组，从而解决了计算机因内存有限而使程序经常死机的问题。

I had a lovely dog named PiPi, he was one of my best friends.

我曾经有过一只小狗，它的名字叫皮皮，它很善良，它是我最忠实的朋友。

Newly ovulated mouse oocytes were cultured in the CZB medium supplemented with different concentrations of pyruvate before treated for activation or assayed for MPF activity.

我们猜测卵母细胞在不含丙酮酸的条件下老化的更快，并且卵丘细胞可能通过消耗不含葡萄糖的CZB中的丙酮酸从而促进卵母细胞老化。