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By applying the explicit and implicit Euler methods to the neutral delay differential equation, two difference equations of the numerical solution are obtained.

把显式Euler方法和隐式Euler方法分别应用到这个中立型微分方程，得到了两个关于数值解的差分方程。

Because the equation is a various coefficients second-order parabolical partial differential equation,explicit difference formats usually have high condition for stability. Implicit difference formats have good stability,but they must calculate a set of algebraic equations,which are too complex.

由于泥沙扩散方程是一个二维变系数的抛物型方程，对于多维的方程，显格式往往稳定性要求很高，而隐格式虽然稳定性较好，但它要解大型的代数方程组，工作量也非常大，为了克服这两种格式的不足，常用ADI法求解，但仍存在一些计算量偏大等不足之处，因此构造出更好的差分格式是有必要的。

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。

Many will continue to choose to live in duality and in conflict.

许多人将继续选择活在二元对立性和冲突中。

I find that students of the University of Physical Education all wear sportswear at first sight.

我发现：体育大学的学生乍一看，都是穿运动衣，大家都一样