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CO_2 Miscible Flooding ; Multicomponent ; Multiphase ; Unu-isothermal ; Numerical Simulation ; Implicit difference scheme ; Finite element method ; Optimal design ; Economic Evaluation

吉林大学；计有权 CO_2混相驱；多组分；多相；非等温状态；数学模拟；隐格式差分；有限元；优化设计；经济评价

An implicit differential method for the wave equation of rod pumping system［J］.

有杆抽油系统预测模型的隐式差分法［J］。

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 complete analysis must build on the implicit function theorem.

完整的分析必须建立在隐函数定理的基础上。

But the implicit function theorem cant satisfy the requirement of the controllability.

但常用隐函数存在性定理不满足能控性分析的需要。

Theorem, Implicit Function Theorem and its Applications.

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

By using implicit function theorem, Taylor's formula and mean theorem, the form of the non-affine nonlinear systems is transformed into the form of affine nonlinear systems.

利用隐函数定理和泰勒公式及中值定理，将非仿射非线性系统转变为仿射型非线性系统。

The existence of classical solutions to non-divergence quasilinear parabolic equation of second order has been proved by basic knowledge of non-linear functional analysis and implicit function theorem in banach spaces.

用非线性泛涵分析的基本知识和Banach空间上的隐函数定理证明了非散度型拟线性抛物型方程古典解的存在性。

Due to the non-affine form of the control inputs, feedback linearization method can not be used to design control system. Therefore, implicit function theorem is firstly exploited to assert the existence of the ideal control inputs, which can compel the system outputs to track their desired trajectories, and then ideal control inputs are constructed.

由于该系统的控制输入为非仿射形式，不能采用反馈线性化的方法设计控制系统；因此，首先采用隐函数定理证实了能够使系统输出跟踪期望轨迹的理想控制输入的存在性，并构造了理想的控制输入。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。