查询词典 continuity condition

In the second chapter, the problem of the optimal inputting rate control for a class of competitive population dynamics system with age-structure is discussed. By means of characteristic line, Gronwall Lemma, Bellman Lemma, adjoint system and so on, the Lipschitz continuity properties of the system in terms of the control variable is certificated, and the necessary condition of the optimal control is obtained.

第二章讨论了一类具有年龄结构的竞争种群系统最优输入率控制问题，综合应用特征线法，Gronwall引理，Bellman引理，共轭系统等知识，证明了系统解关于控制变量的Lipschitz连续性，给出了控制为最优的必要条件。

We also give the condition and the arithmetics of the continuity of curve and surface.

为此对曲线曲面连续的条件和算法进行了研究。

The continuity of integrand on closed interval is the important condition for the validity of Newton-Leibniz formula .

被积函数在闭区间上连续是牛顿-莱布尼兹公式成立的重要条件，通过削弱该条件使牛顿-莱布尼兹公式的应用范围得到了推广，并举例说明。

The stability of the system was discussed by the continuity of solution and the condition of normal solution, which was synchronously proved and analyzed by an example.

利用通解的连续性及正规解条件，讨论了系统在啮合参数激励下的稳定性，并用算例进行了证明和分析。

Furthermore,we obtain a sufficient and necessary condition about continuity of functional series and integral with parameter,and show the sufficient condition about differential .

将数学分析中一致收敛性的概念加以推广，分别对函数项级数和含参量积分引入次一致收敛的概念，证明了函数项级数、含参量非正常积分连续性的充要条件和可微性的充分条件，推广了数学分析中的相应结

We see the same thing, watching moment by moment the movement of historical personages (that is, restoring the inevitable condition under which all action takes place—the condition of the continuity of motion in time), and not losing sight of the necessary connection of historical figures with the masses.

假如我们每时每刻注视历史人物的运动（就是恢复所发生一切的必要条件——运动在时间上的连续性），不疏忽历史人物和群众的必要联系，我们就会看见同样的情况。

The last time when the valves open and close the boundary condition equation and heating systems in the other boundary condition equations, one-dimensional unsteady flow equations of motion and the joint solution of continuity equation, we can find the non-dimensional opening when the valve changes, heating system to calculate changes in surface pressure.

上回阀启闭时的边界条件方程与供热系统中的其它边界条件方程、一维不定常流动的运动方程和连续方程联解，就可以求出当止回阀无量纲开度变化时，供热系统各计算截面压力的变化情况。

The main research methods are:(1)Theory analysis:from the 2D plane geometry analysis, dots continuity characteristics are found. The first time irrational fraction algorithm is used in FM program.(2)Experiments reaearch:experiments of condition halftone function are designed under the cross-experiment principles. The first time variable information printer and C# language are used in experiment.(3)Data processing:new type digital density apparatus is used to measure data. Compare is used in processing data and error cause are explained. The main works as follows:The dot area percentage has been gained and new condition halftone function has been set up.(2)After being corrected, speed of irrational fraction algorithm has been compared with multiplicative congruence algorithm's.

本文的主要研究方法有：(1)理论分析：运用数字加网原理，从二维平面几何分析入手，借助实验验证研究网点连续特性；首次系统地把无理数取尾法随机数生成器引入到调频加网系统中，根据实验修正生成器的模型，运用统计假设检验理论，对生成的随机数序列进行统计假设检验；(2)实验研究：根据正交实验法则设计实验，首次采用可变信息印刷机(HP Laser PS印刷机)输出实验样张，克服了用传统胶印机作实验影响因素多的缺陷；采用新型数字式密度仪测量密度值，提高了数据精度；采用最新编程语言编写调频加网程序；(3)数据处理与分析：利用平均值比较法处理数据，对误差产生的原因进行讨论。

Based on the current continuity equation, using spherical harmonic function expansion, where lower boundary condition is the surface atmospheric electric potential, upper boundary condition is the electric potential of the bottom of the ionosphere, and non-homogeneous current source function of the vertical dipole assumptions is used for the charging of thunderstorms, the state analytical solution of global atmospheric electricity model in lower atmosphere is gotten.

本文从电流连续方程出发，采用球谐函数展开法，边界条件采用下边界为地表大气电势，上边界为电离层底部电势，非齐次电流源函数项采用垂直偶极子假设。

This paper helps to understand the connotation of the theory by making a thorough analysis and summary of the definition and the judgement condition of function's uniform continuity, and by producing some good ways to demonstrate the function's non-uniform continuity.

数学分析教材只给出一致连续的概念和判断函数在闭区间上一致连续的G·康托定理，内容篇幅少，为了使初学者对函数一致连续性的理论有正确的理解和全面的掌握，作为教材内容的适当

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。