数值

By applying contour integral method and high-order displacement functionsof MM,we obtain the accurate stress intensity factors of mixed-mode crack.Then,the open crack propagation of the mixed mode I and II is simulated by means oftheories of linear elastic fracture mechanics.This provides a simple and effectivenumerical way for crack evolvement studying.

接着，文中采用围线积分法和流形方法的高阶位移函数来计算得到比较准确的混合型裂纹尖端的应力强度因子，然后基于线弹性断裂力学的裂纹扩展准则，用流形方法实现了平面I-II混合型张裂纹扩展的数值模拟，为数值方法研究裂纹的演化行为提供了一条简单而有效的途径。

The convergence theorem of the neural networks algorithm and the theorem of numerical integration solution and its inferences are presented and proved.

摘要该文提出了一种基于三角基函数神经网络算法求解数值积分的新方法，提出并证明了神经网络算法的收敛定理和数值积分的求解定理及推论。

But in our method, the reference function value of the iteration point is defined by a special weighted average, i.e., a convex combination of all previous function values.

而在此算法中，迭代点的参考函数值为一特殊的加权平均值，即前面所有点函数值的凸组合。

This algorithm is proposed on the basis of the thought as follovvs: as for three dimensional Euclid space, the feasible region of any linear programming problem is a extended convex polyhedron, of which surface is consisted of some planes, and its objective function can be regarded as a parallel plane pencil with objective function value acting as parameter.

如果线性规划问题有最优解，那么过可行域的一已知顶点必至少存在这样一条棱——它以该己知顶点为一端点，可行域的另一顶点为另一端点，并使目标函数在另一端点的函数值优于己知端点的函数值，否则，该己知点就是线性规划问题的最优解。

This paper uses the non-uniform grid model successfully to fulfill the requiremet of three-dimensional simulation modeling of the double post-hole convolute whose structures are complex.

成功地使用了非均匀网格模型，实现了对结构复杂的中心汇流区的三维数值建模；运用金属支撑杆模型，实现了负载的数值建模。

This paper uses the non-uniform grid model successfully to fulfill the three-dimensional simulation modeling of the double post-hole convolute whose structures are complex; uses strut to fulfill the load modeling of the computer implementation; explores the feasibility and application value of using MPI parallel algorith into the simulation.

成功地使用了非均匀网格模型，实现了对结构复杂的中心汇流区的三维数值建模；运用金属支撑杆模型，实现了负载的数值建模。探讨了MPI并行算法运用到模拟中的可行性及其应用价值。

This study uses the height function to track the free surface, and the body-fitted coordinate system is used to generate a coordinate surface coindent with the boundary contours in the physical plate.

为求解本研究的流动现象，除了以高度函数法追踪液面外，并以物体嵌合座标系统克服翼形的不规则形状，同时采用SIMPLE数值法来处理整个数值运算过程，并配合交替方向隐式A.D.I。

It is difficult to estimate the corona discharge with only one data or the average of several UV counts.

因此，为了提高电晕放电紫外计数值的测量准确性和可靠性，基于数据融合技术，采用算术平均值和分批估计相结合的数据融合方法，对电晕放电紫外计数值进行了处理，在一定程度上消除了电晕放电紫外测量过程中外界因素的干扰，使得结果更能有效反映电晕放电的强弱，从而为后续故障诊断提供依据。

The new calculated leak value is a multiplication of the LDS1000 value with the correction

新计算的泄漏率数值是LDS1000显示的数值乘以一个修正值。

He proved that the left ward turning of Yangtze river diluted water is mainly resulted from the interaction between the bottom declining and the lag of the transversal pressure gradient, made the numerical simulation and preliminary study on the thermohaline staircase structure formation mechanism, improved American Academician Wunsch's inverse method of ocean circulation, jointed the discover of " Mindanao Under Current", which is the first ocean current found and named by Chinese scientists and widely accepted over the world, simulated the horizontal and vertical carbon fluxes in East China Sea by a simple ecosystem model, estimated the photosynthesis efficiency less than 8% in Jiaozhou Bay, applied statistical downscaling technology to Chinese coast and Japanese islands realizing the simulation and forecast of sea level low frequency variations, pointed out that the quasi-periodicity of El Nino events should be resulted from the interaction between the 3~4 year oscillation in tropical Pacific and decadal oscillation in the northern Pacific of middle latitudes of the air-sea coupled climate system and at decadal time scale the precipitation influence on sea level variation along Chinese coast and Japanese islands becomes more important, which is closely related to the decadal oscillation of air-sea coupled climate system, therefore precipitation most likely play a major role for the decadal oscillation formation;; proposed Extended Associate Pattern Analysis to analyse combined observed datasets of sea surface temperature and sea level pressure or geopotential hight at 1000 hPa (GH1000) over the Pacific and related seas.

论证了长江冲淡水向左转向主要由于底形下倾与横向压力梯度滞后相互作用的结果。对温盐阶梯结构的形成过程及物理机制进行了数值模拟与初步探讨。改进了美国科学院院士Wunsch的大洋环流反演法。与胡敦欣院士共同发现了"棉兰老潜流"，这是第一支由中国科学家发现、命名并得到普遍承认的洋流。借助较为简单的生态模式数值模拟了东海的水平与垂直碳通量；胶州湾浮游植物的屏蔽效应可以使底层海水温度在升温季节降低2度，由此推算出其光合作用的效率应小于8%；浮游植物春季水华的生物过程实际上强化了海水层化的物理过程。将统计学降尺度技术应用于日本列岛和我国沿海，实现了海平面长周期变化的模拟与预报。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。