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In differentiable manifolds, one studies for instance differentiable structure, definition of differential manifolds, diffeomorphism, tangent space, Embedding theorem, partitions of unity etc.

微分流形部分主要涉及微分结构,微分流形的定义及例子,可微映射,微分同胚,切空间与余切空间,流形的嵌入,单位分解定理等。

The relation between difference equation and differential equation is studied by analyzing the mechanism in building grey models, and a "bridge" is set up between difference equation and differential equation by sampling theorem and state transition matrix.

通过对灰色系统模型建模机理进行深入剖析,利用采样定理和状态转移矩阵在差分方程和微分方程之间架起一座桥梁,通过算例仿真实验证明了该算法的有效性。

On the basis of the proportional difference operator theorem, this paperdeveloped a series of proportional difference operator methods to characterize MOSdevices.

本文在比例差值算符理论基础上,发展了一系列MOS器件的比例差值特性表征方法。

The initial population size is studied based on the defined partial function, favor and back difference equations, and the schema theorem.

该文研究二进制和自然数编码遗传算法的群体规模,结合偏好函数和模式定理,利用前向及后向差分方程,得到这2种编码的群体规模下限值,证明其存在性。

Theorem 1 Suppose the function is differentiable at,then its partial derivative at exist, and the total differential of

定理1如果函数在点可微分,则该函数在点的偏导数必定存在,且函数在点的全微分为。

Theorem 3.2. Assume that is compact and that is continuously differentiable on a neighborhood of .

定理 3.2。假设紧密的并且f在的邻域中是连续可微的。

Theorem 1 If is differentiable at, and is a local extreme value of, then.

定理1 设函数在处可导,且在处取得极值,那么。

Theorem 1 Let and be differentiable at t, and let be differentiable at .

定理1 设函数和在点t可微,在点可微。

Theorem 2 If has continuous partial derivatives at , then is differentiable at .

定理2如果函数在点的偏导数连续,则函数在该点可微分。

The mid-value theorems is the core of differential calculus theorem, the important tool of function, attention.

微分中值定理是微分学的核心定理,研究函数的重要工具,历来受到重视。

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Now she was hungry and angry.She began to smoulder.

现在她又饿又气,她开始流露难以抑制的怒火。

You have placed our iniquities before You, Our secret sins in the light of Your presence.

诗90:8 你将我们的罪孽摆在你面前、将我们的隐恶摆在你面光之中。

Because of their partly crystalline structure polyamides need a relatively high processing

我们的方针是,既要满足客户的需求,并且也不使用对环境有损害的重