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In the second part, a method studying stochastic transition which is the master equation method is introduced, and explicit solutions of velocity V and diffusion constant D of the steady state are obtained when a particle hops among a dimensional and periodic N states.

第二部分介绍了一种研究随机跃迁的方法—主方程方法，着重推导了粒子做一维周期性N态随机跃迁时达到稳态的速度、扩散系数的一般表达式。

Especially,the explicit bound of the cost with respect to the diffusive coefficient a and the time T is analyzed.

我们给出关于扩散系数α和时间T的成本的精确上界。

In this paper,two high resolution explicit schemes are given by interpolation based on different pyramidal stencil for the nonlinear advection equation in two dimensional space.

文章基于金字塔网格，采用插值的方法，构造了2个二维对流方程的二阶显式格式，并给出了一个判断准则。

In this paper we finded several explicit and similarity solution to the so-callednonlinear Fokker-Planck equationsut =xx +xfor ∈ S with initial datum u(x, 0)=δ, where the physical constants m ≥ 1 and n ≥ 0and δ is Dirac measure.

本文讨论对流扩散方程：的相似源型解。由于方程具有对流项且初始值为Dirac测度，特别当m＞1时方程在{u＝0}处退化，给求解造成实质的困难。

There is explicit solution order to every graph node in directed constraint graph.

通过对尺寸的识别与理解，实现尺寸之间的隐含关联约束到被约束实体之间的映射。

Again with an algorithm that has no explicit recourse to the directional derivative and for which ranking information is sufficient.

这是又一个不需要直接导数的算法，秩信息已经足够。

Is there any disassociation between implicit and explicit attitudes?

这是一个具有非常现实意义的问题，也是本文要解决的首要问题。

Tension of cables belongs to the optimization problem of discrete variable therefore the object function can not be explicit expressed. To solve this problem, the genetic algorithm was applied in optimizing calculation.

索张拉属于离散变量的优化问题，且目标函数无法形成显式，本文将遗传算法引入到优化计算中，解决了这一难题。

Based on the ICMmethod,the discrete topological optimization problem about spot-weld's existence or not is transformed into the continuous optimization problem on[0,1].The optimization model is founded with maximizing the structural stiffness as objective and structural strength as constraints.The problem of multi-objectives and multi-constraints is transformed into the problem of single-objective and single-constraint with the K-S function.The displacement and stress are transformed into the explicit function of design variables with the Response Surface Methodology.The optimization model is solved with Sequential Quadratic Program.

基于ICM（Independent Continuous Mapping，即独立、连续、映射）方法，将焊点有无的离散拓扑优化问题转化为[0，1]区间上的连续优化问题；建立了以结构刚度最大为目标、结构强度为约束的连续拓扑优化模型；采用K-S函数将多目标和多约束问题转化为单目标和单约束问题；运用响应面方法将位移和应力转化为设计变量的显式函数，采用序列二次规划方法求解优化模型。

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毛片一开始出现女的为男的手淫，菲姐觉得小菜一碟，照做；毛片又出现69式口交，两人都不含糊，照做；接着毛片又出现阴交，两人当然照做；毛片出现了后门交，菲姐看得脸通红，撒娇扭怩说人家怕痛，在锋锋请求、诱惑和激将下勉强照做了。

Chimborazo and Cotopaxi, took me by the hand.

越过琴博腊索山和科托帕克西山。

This car is in a good condition.

这辆车的状况很好。