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连续性条件

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By getting Lebesgue characteristic of integrable function of Riemann from the definition of Gather zero measure, discussing the relation between almost continuous everywhere and existent of limit, it gets the theory which is from the function integrability to the consecution and from consecution to the limit existence .i.e. the almost limit existence is equal to the almost continuous everywhere in the integrable function of Riemann. It also gets a unified condition which has a wider range than regulated function and comes to the conclusion that the function of bounded variation is the integrable function of Riemann.

通过定义零测度集给出了可积函数的特征,讨论了其几乎处处连续与极限存在的关系,从而得到了从函数可积性到连续性,从连续性到极限存在性的函数特性理论,即可积函数中极限的几乎处处存在与几乎处处连续是等价的,得出比正规函数更加宽泛的统一条件,得出了有界变差函数是可积函数的结论。

On the basis of Navier-Stoks equation and continuity equation, the SOLA-VOF method was adapted to calculate the field of velocity and pressure in fluid in this program. According to the inertia and continuity of fluid, a new velocity boundary conditions of free surface for 3dimensional fluid flow simulation had been developed. By the new method, any velocity condition occupied on the free surface of the fliud flow could be treated reasonably.

以流体的动量守恒方程和连续性方程为基础,采用SOLA-VOF方法,结合首次提出的流体惯性原理与连续性原理相结合的自由表面速度边界条件处理方法,研制出了流场数值模拟程序。

After the discussion of the constrain condition for Bose-Einstein statistics in NC Phase space, the Hamiltonian operator of the two dimensional charged harmonic oscillator in external electric field was discussed.

在所考虑的相空间变量的对易关系中包含了坐标-坐标和动量-动量两个方面的非对易性;讨论了非对易相空间中服从玻色-爱因斯坦统计的粒子的连续性条件;在所给出的相空间变量的对易关系中包含了空间-空间和动量-动量两个方面的非对易性。

This paper develops a numerical simulation software for the numerical solutions of the three-dimensional incompressible viscous flows.

为较好地满足连续性条件的基础上得到光滑的压力解,对压力Poissom方程离散式采用了一种修正方法。

Firstly,subgoal choosing is optimized by using heuristic function according to the window's information,it is local environment's information,which is obtained by camera.Then navigation behavior is divided into GO TO TARGET behavior and OBSTACLE AVOIDANCE behavior,their behaviorial states and behaviorial modes dynamics models are established,and then one autonomous local path planning online is implemented using navigation behavior dynamics model in a single window.Connecting a series of local paths according to continuity,the robot accomplishes one global planning ultimately.

首先根据所获得的窗口信息,采用启发式函数进行局部子目标优化选择;然后将路径规划问题即导航行为分解为趋于目标行为和避障行为,并对这两种行为分别建立了行为状态和行为模式动力学模型;在此基础上,以窗口为单位,利用导航行为动力学模型进行在线自主路径规划;将一系列窗口中的规划轨迹按照连续性条件首尾相接,最终完成了一条全局规划任务。

First,we consider the lower semicontinuity property fora functional with linear growth in LDΩthe second, in the SBD space,we discussthe lower semicontinuity of an integral functional that the integrand is a Carathéodoryfunction and that satisfies a symmetric quasi-convex assumption, by the compactnesstheorem of the SBD space,blow-up method and Morrey theorem,prove that integral functional is lower semicontinuous with respect to L~1- convergence;then by using theone-dimentional sections method and the structure theorem of the BD functions, dis-cuss the lower semicontinuity of the integral functional in the whole BD space.

首先我们考虑LD空间满足线性增长的积分泛函的下半连续性;其次在SBD函数空间讨论了被积函数为Carathéodory函数时的积分泛函在满足对称拟凸条件时的下半连续性,主要利用SBD函数空间的紧性定理和blow-up方法以及Morrey定理等给出了积分泛函关于L~1-强收敛的下半连续性;然后利用BD函数的一维截断方法和结构定理,讨论了在BD全空间上的积分泛函的下半连续性。

Then the method make every subdomains lubricous and conquer non-differentiability of the problems.2. Through introducing the continuous conditions on internal boundary, a distributed optimal control model is established.

通过区域分解及在内边界上引入连续性条件,将分片光滑分布参数系统的抛物型方程定解问题转化为一个最优控制模型。

Further more, in patch based parametric surface case, we.

这里的创新点在于平衡化几何连续性条件的发现和求解。

In order to research topological vector space,the relations between strong lower K-semi continuity and continuity and K- continuity are investigated.

研究了序拓扑向量空间映射的强下K-半连续性与连续性及K-连续性之间的关系,得到了一些充分条件和必要条件

The crack is modeled by distributed line spring ,the local compliance matrix of which is determined according to fracture mechanics.

管道的振动用Flügge方程来描述,通过将裂纹模拟为分布的线性弹簧,运用断裂力学理论,得到裂纹区域的局部柔度矩阵,从而建立外力作用处以及裂纹两侧区域的位移和内力的连续性条件对裂纹管道的功率流进行求解。

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