隐函数微分

Real Number System, Euclidean Space and Metric Spaces, Sequences in R and R^n, Differentiability on R and Rn, Integration on R and Rn, Infinite Series of Functions, Fourier Series, Fundamental Theorems of Vector Calculus, Inverse Function Theorem, Implicit Function Theorem and its Applications.

课程内容：实数系，Euclidean空间与距离空间，函数数列，函数级数，连续函数，可微分函数，可积分函数，反函数，隐函数定理及其应用，向量微积分基本定理，富氏级数。

Automatic differentiation and implicit function differentiation rule were used to calculate the precise absolute and relative sensitivity coefficients, with no truncation error introduced.

提出一种基于自动微分和隐函数求导法则的精馏塔优化计算灵敏度分析方法，可以求出精确的、无截断误差的灵敏度系数，以反映精馏塔模型中各种不确定因素变化所引起的改变和影响。

Keywords distillation column semi-open equation model;automatic differentiation;sensitivity analysis;implicit function differentiation rule

精馏塔半开放模型；自动微分；灵敏度分析；隐函数求导法则

A kind of one parameter planar singular perturbation equation is studied by the qualitative theory of ordinary differential equations, asymptotic analysis methods, implicit function theorem and fixed point methods.

本文应用微分方程定性理论、渐进分析方法、隐函数定理以及不动点理论的方法研究一类单参数二维奇异摄动系统。

Therefore, it's necessary to solve the gradients of the limit state function by numerical methods.

因此，对于隐式的或复杂的显式功能函数，必须采用数值微分方法来求解功能函数的梯度。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。