隐函数

本文给出利用BANACH不动点原理证明隐函数存在定理的方法。

This paper presents the approach to prove the existence of implicit function by using Banach 's principle of fixed point .

本文利用隐函数定理及Morse理论，给出了多重极限点在某种对称关系下导致分歧的具体条件。

Using implicit function theorm and Morse theory , we study the Bifurcation conditions of multiple limit point with some symmetries .

P&B槽是临界流式流量计的一种，其流量Q可表达为喉管上游水深h1的高次隐函数。

P-B flume is one of the flowmeters of critical flow type .

一种隐函数NC刀具轨迹的绘制方法

One Rendering Method of Implicit NC Tool Path

关于以隐函数形式存在的经济指标的Taylor级数分析

A Probability Analysis of the Economic Indexes Appearing in Implicit Functions with Taylor Series

平行断层轮廓线的RBF隐函数曲面造型

RBF Modeling From Parallel Slices of Contours

隐函数Delta法调整人群归因危险度可信区间的估计及其应用

Estimating the Confidence Intervals of the Adjusted Population Attributable Risk ( PAR ) and its Application through the Implicit Delta Method

判定n元隐函数取极值的充分条件Hesse矩阵

Hesse Matrix of Sufficient Condition for Extrema of n - variable implicit function

然后将两网格模型转化成点模型表示，并将点模型转化成径向基函数（RBF）的隐函数表示；

Secondly , convert the two mesh models into point models and convert the point models into implicit surfaces with radial basis function ( RBF ) interpolation .

本文首先利用Banach空间中的隐函数定理导出乘积Banach空间中等式约束问题的最优性必要条件。

In this paper , by the implicit function theorem in Banach spaces we first establish a necessary optimality condition for problems with equality constraint in product banach spaces .

首先利用隐函数存在定理得到一个K-T条件的降维形式。

Firstly , we gain a descending dimension form about K-T condition by using hide function theorem .

隐函数定理考查F-1（0）之构造。

The implicit function function theorem considers the structure of F - 1 ( 0 ) .

算法首先由每个给定骨架构造出一个距离场，然后利用隐函数光滑过渡技术和CSG（ConstructiveSolidGeometry）表示技术将所构造的隐式曲面自由地两两粘合成一张光滑曲面。

Each skeleton is first used to construct a distance field , then a smooth implicit surface is generated by using the implicit function blending and CSG ( constructive solid geometry ) representation technique .

拟合隐函数曲线的GNL法

An algorithm named GNL for fitting the curve of implicit function

可以通过隐函数微分法和乘法法则得到，或者直接，把关于x，y，z的偏微分放进来。

You can get this either by implicit differentiation and the product rule , or you could get this just by putting here , here , and here the partial derivatives of this with respect to x , y , and z.

由于简化BISHOP法得到的极限状态方程是隐函数，不能直接进行逆可靠度分析。因此，本文将响应面法应用到其中，建立显式的土坡稳定极限状态方程。

Response surface method is applied here to establish explicit slope stability limit state equation for that the limit state equation obtained by Bishop method is implicit and cannot be used directly .

本文利用隐函数理论，计算闭环系统的极点对反馈控制器K的偏导数矩阵，即闭环极点对控制器中的各个参数的变化率阵。

By means of the implicit function theory , It is given to partial derivative matrix of the loop poles to feedback controller K. From this partial derivative matrix , we may understand sensible degree that the loop pole is depended on every parameters is the controller K.

本文主要研究了一类隐函数的Aubin性质和相依导数表达式。

In this thesis , the Aubin property and contingent derivatives for a class of implicit multifunctions are studied .

Nashed的一个结果，并且证明了一个硬的隐函数定理，它改进了M.S。

Nashed as well as a " hard " implicit function theorem which improves the related theorem of M.S.

从而可用完全相同的方法对它们的未线性化参数初始值进行搜索，以拟合隐函数曲线的GNL法对它们进行最小二乘拟合。

Then the models can be fitted in the meaning of least square by means of GNL method which can fit the curve of implicit function .

本文应用隐函数定理及Liapunov-Schmidt过程，讨论了二维无界区域中三分子模型的分歧问题，证明了在临界参数值附近定态分歧解的存在性，而这些分歧解关于x是周期的。

In this paper we study bifurcation of steady-state solutions of the trimolecular model in a two-dimensional unbounded region . By using the implicit function theorem and the Liapunov-Schmidt procedure we prove the existence of the steady-state bifurcation solutions which are periodic in x.

在最小二乘意义下用GNL法拟合常见的三参数隐函数曲线时，用循环搜索法确定了单个未线性化参数初始值。

The method of cyclic search is applied to determine the initial values of single non-linearized parameter during the common curves of implicit function with three parameters are fitted in the meaning of least square by means of GNL method .

利用正负法绘制隐函数曲线及运算

Drawing the Curve of Implicit Function ard Calculation using Positive-Negative Algorithm

分子中单电子能量的解析隐函数表示

The implicit analytic representation for the energy of one electron system

判定隐函数极值的几何方法

The Geometric Method of Discriminating the Extreme Value of Implicit Function

隐函数求导公式的统一证明

The Unified Demonstration on Formula of Derivation Calculus for Hidden Functon

这个证明利用了Lyapunov－Schmidt分解及隐函数定理。

The proof is based on Lyapunov-Schmidt decomposition and implicit theorems .

基于隐函数实现点云数据重构方法的研究

A Study of Reconstruction of Sampling Points Based on Implicit Function

完整的分析必须建立在隐函数定理的基础上。

A complete analysis must build on the implicit function theorem .

用切向旋转法作隐函数曲线

Draw the implicit function curve by rotate the tangential vector