查询词典 implicit function theorem

Stability and convergence of the model are proven by means of the weak convergence theorem of generalized function and the convolved integration theory.

由广义函数弱收敛定理和卷积理论，证明所提出的非局部连续模型具备收敛性和稳定性。

According to induced response method, the expression in frequency domain of pressure response at the end of pipeline is derived using impulse response method and convolution theorem. The expression indicates that that transfer function is only related to the characteristics of pipeline system and the Fourier transform of flow variable only depends on the operating characteristics, and the pressure response in frequency domain is linear with the Fourier transform of flow variable.

基于激励响应法，应用脉冲响应方法和卷积定理得出了管道末端压力响应在频域中的表达式，此式表明：传递函数只与系统的特性相关，流量变量的傅立叶变换只与操作特性相关，且压力频域响应与流量变量的傅立叶变换为线形关系，根据此式在理论上能够得到管道泄漏点的重要信息。

A human model using polynomial convolution surface is presented which is modeled by articulated skeletons convolved with some kernel function. The convolution surface and curve correspondence theorem under orthogonal projection is presented. The human contour is approximated with a convolution curve and 3D human pose can be estimated using a nonlinear optimization algorithm.

首先建立了一种新颖的多项式密度卷积曲面人体模型，该模型由连接体线骨架与某种卷积核卷积而成，整个曲面是一张连续曲面，调节多项式和半径参数可以让人体任意变形；给出了正交投影下卷积曲面和曲线对应的概念和相关定理，为二维的图像轮廓和三维人体模型之间建立对应关系；根据正交投影下卷积曲面与曲线对应定理，用卷积曲线去逼近人体的图像轮廓曲线，从而估计和恢复出三维人体运动姿态。

Among his contributions the most significant is to justify the theorem of the impossibility of the Paretian liberal that there is no a social decision function that meets unrestricted domain, Paretian principle and minimal liberty simultaneously, which helped him win the Nobel Prize on economics.

而他影响最大的贡献是证明了帕累托自由的不可能，后者为他赢得诺贝尔经济学奖奠定了基础，其基本含义指不存在一种可以同时满足无限制域、帕累托原则和最低限度的自由这三个条件的社会决策函数。

By using the theory of linear evolution systems and Sadovskii's fixed point theorem, chapter3 deals with the existence of mid-solutions,strong solutions for the Cauchy problems of neutralabstract functional differential equations dependent on time with unbounded delay, here theright function in the equations satisfies the Caratheodory conditions.

第三章利用线性发展系统理论和Sadovskii不动点定理研究了具有无穷时滞中立型时变泛函微分方程Cauchy问题mild-解、强解的存在性。其中方程的右端函数满足Caratheodory条件。

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。

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。

This article is applying the second theorem of dimension to dimensionless the different potential function of Schrodinger equation.

量纲Ⅱ定理是物理学中处理量纲问题的一个重要定理，应用量纲Ⅱ定理对不同势函数薛定谔方程无量纲化。

harmonic function ; Liouville theorem ; Dirichlet integral ; relative compact domain

并得到 次调和函数的Liouville定理和具有有限的 Dirichlet积分的次调和函数的性质。

Don not attempt to do something which you can not to do.

不要企图做那些办不到的事情。

The expression of CTGF and TNF-αweredetected by immunochemistry and the number of Clara Cells was calculated.

光镜下观察肺组织的病理变化，采用免疫组化染色观察肺组织中结缔组织生长因子和肿瘤坏死因子-α的表达和Clara细胞的数量。