查询词典 implicit definition

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。

Based on the unstructured model of Nosiheptide fermentation process, the secondary variables were selected according to the implicit function existence theorem, which made the selection theoretically strict.

在诺西肽发酵过程非结构模型的基础上，根据隐函数存在定理确定出辅助变量，从而使其选择有严格的理论依据。

Then,the system is linearized by variational approach,the local null controllability is proved by applying a generalized implicit function theorem and combining the property of the solution mapping.

首先得到了系统的逼近能控性；然后采用变分方法对系统线性化，再结合解映射的性质，应用推广的隐函数定理，证明系统的局部零能控性；最后给出系统零能控的结论。

In our paper,we obtain a existence result of the minimal positive solution by maximum principle, implicit function theorem.

Deng于2001年曾研究过方程-Δu=u~p-λu带Neumann边值问题多解的存在性与非存在性问题；E。

Based on the segmented unstructured model of Nosiheptide fermentation process, the secondary variables are selected according to the implicit function existence theorem. The on-line identification of fermentation phases is accomplished by using an indicator variable which is gained by mathematical inference, and for each phase, a local soft sensor model is developed.

首先以分阶段的诺西肽发酵过程非结构模型为基础，根据隐函数存在定理进行辅助变量的合理选择；然后利用经数学推导得到的指示变量"伪比生长率"完成发酵阶段的在线辨识，并采用神经网络构建出对应于各阶段的局部软测量模型。

In this project, we intend to combine the above mathematical ideas. First, we consider a wild family of dynamical systems which can be derived into a family of difference equations. Then using a generalized version of the implicit function theorem which we will establish, we want to show that for any dynamical systems near 「singular limit」, there exists a horseshoe structure and hence chaotic phenomena occur.

在此研究计画中，我们打算结合上述的数学结论与想法，进一步考虑一类能够转化成差分方程的动态系统函数族，使用即将建立的推广性隐函数定理，我们希望证明当参数接近奇异极限时，动态函数会具有马蹄结构所以有混沌现象。

According to the estimation of biomass in Nosiheptide fermentation process, the secondary variables are selected according to the implicit function existence theorem, and then a soft sensor model of biomass is developed by using the IBPNN. The testing result shows the effectiveness of the presented approach.

最后针对诺西肽发酵过程中菌体浓度的估计问题，根据隐函数定理选取辅助变量，应用IBPNN建立菌体浓度软测量模型，实验结果验证了所提方法的有效性。

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。

Chinese traditional virtue is humility and wariness,the compliment and praise to the others should be declination

中国人的传统美德是谦虚谨慎，对别人的恭维和夸奖应是推辞。如

We bought this house on the never-never.

我们以分期付款的方式买下这座房子。