微分的

Derivatives in higher dimensions, directional derivative and gradient.

在多维度中的微分、方向导数和梯度。

Theorem Let be differentiable at. Then has a directional derivative at in any direction and

定理 如果函数在点可微分，那么函数在该点沿任一方向的方向导数存在，且有

Fin ally, some numerical results to validate this method are presented for partial d ifferential equations with Dirichlet boundary condition.

最后 ，我们给出一些数值结果以验证这种针对 Dirichlet边界条件的偏微分程解法。

We first consider the stochastic Dirichlet problem and from which we derive a system of integro-differential equations and the boundary conditions satisfied by the function.

首先，通过研究随机Dirichlet问题得到了Gerber-Shiu函数满足的积分-微分方程及边值条件。

You can apply the genetic algorithm to solve a variety of optimization problems that are not well suited for standard optimization algorithms, including problems in which the objective function is discontinuous, nondifferentiable, stochastic, or highly nonlinear.

你可以应用遗传算法来解决一些不适合标准最优化算法的优化问题。这些问题包括：目标函数不连续，不可微分，随机，或者高度非线性

What's more, the algorithm is also effective to solve partial differential equations with discontinuous coefficients

此外，本方法对于系数不连续的偏微分方程也非常有效。

In Chapter 4,we deal with the problem of the discrete spectrum for the singulardifferential operators with left definite type.

第四章 讨论左定型奇异微分算子谱的离散性问题。

A discriminator (206) classifies the amplitude of the differentiator (204) output.

甄别器(206)对微分器(204)输出的幅度进行分类。

By use of a new type double circulation ebulliometer, Isoplethic VLE data were determined under 15 different concentrations for the system ethanol-n-hexane in a temperature range from 298K to 331K. Isothermal VLE.

由等组成数据，可方便地求算该混合物在所测温度范围内的微分汽化热和饱和蒸气压，进而推算过量自由烩和等温汽一液平衡数据l：。

In this paper, a mathematical model of differential-type electrified reset circuit of single chip computer had been established.

建立了微分型单片机上电复位电路的数学模型，并在此基础上对其性能进行了分析。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。