泰勒公式

本文通过作一个特殊的辅助函数，由此建立一个命题，并借助它对微积分学中的几个中值定理与泰勒公式作出统一的证明，再加以推广，证明一个计算待定型极限的定理。

Through the special assistant function this paper sets a question , with the help of its combined proof on the several unpatterned intermediate values and Taylor 's theorem , it proves a limited theorem waiting to be patterned and the popularizes it .

讨论了积分中值公式和泰勒公式最小中值函数ξ（x）的连续性和可微性。

In this paper , we study the continuity and differentiability of minimal mean value function (ξ( x )) in the integral mean value theorem and Taylor 's formula .

带有Lagrange余项的泰勒公式的证明

Taylor Formula Prove with Lagrange Remainder Term

本文利用泰勒公式和m次型讨论了n元函数的严格极值与极值，得到了n元函数严格极值与极值的几个判别条件。

The strict extrema and extrema of n-variate functions are discussed by using Taylor 's formula and m-forms , and some discriminant conditions of strict extrema and extrema of n-variate functions are obtained in this paper .

以柯西定理、罗尔定理为基础，应用构造辅助函数法对带有Lagrange余项的泰勒公式进行证明。

Based on Cauchy theorem and Rolle theorem , applied structure assist function method has proved the fundamental theorem . with lagrange remainder term of Taylor formula .

带有皮亚诺（Peano）型余项的泰勒公式的推广与应用

Promotion and Application of Formula Taylor with Surplus Item Peano

谈带皮亚诺余项的泰勒公式的应用

Applications of the Taylor 's Formula with Peano 's Remainder

其中泰勒公式金融数学债券定价中的应用是全新的。

Especially , application of pricing method in financial bond is new .

泰勒公式在分析和研究教学问题方面，有着重要的应用。

Taylor formula has many important applications to mathematical analysis and study .

带积分型余项的泰勒公式在定积分计算中的应用

The Application of the Taylor Formula with Integral Remainder Term in Definite Integrals

泰勒公式在计算及证明中的应用

Application of Taylor Formula in the Calculation and Proof

带有重积分型余项的泰勒公式及其证明

Taylor 's Formula with Repeated Integrate Reminder and Proving

泰勒公式在判定二元函数极限存在性中的应用

Taylor 's Formula is Used to Judge the Limit Existence About Some Binary Function

泰勒公式的行列式表示与应用

The Determinant Show and Application of Taylor Formula

用泰勒公式研究函数凹凸性的一种拓广

An Extensiveness on the Concave - convex Property of Function through Formula of Taylor

利用中值定理和泰勒公式求函数极限

Seek the functional limit by making use of mean value theorem and B.Taylor expansion

用完全归纳法证明泰勒公式

To prove Taylor 's Formula with Complete Induction

泰勒公式在讨论级数收敛性中的应用

The Application of Taylor Formula in Progression Convergence

泰勒公式的另一种形式

Another from of taylor formula

他既保留了泰勒公式的精度高的特点又避免过多的计算导数值。

He not only retained the Taylor formula and high accuracy while avoiding excessive numerical calculation guide .

泰勒公式应用的探讨

On Application of Tayler Formulation

证明了含有积分型余项的泰勒公式，并举例说明了其在定积分中的应用。

Taylor 's formula with integral remainder term is approved and applied to definite integrals through some examples .

根据抛射角方程对泰勒公式进行了修正，得到了改进的泰勒公式。

According to the projection angle equation , the Taylor formula was modified and the improved Taylor formula was obtained .

利用泰勒公式，给出中值定理“中值点”渐近性质的一个定量刻画。

Using the Taylor formula , gives the theorem of mean " the value point " an approach nature quota portray .

刀具寿命相对消耗量是利用功率信号、泰勒公式、切削工艺参数库以及在线获取的实际切削时间来获取的。

The RCI of tool life is obtained by the power signal , the Taylor formula , the database of cutting parameters and cutting time .

本文从一道习题谈起，利用泰勒公式，讨论中值定理中值点的渐进性质。

This paper deals with the asymptotic property on the middle point of the mean value theorem according to a exercise by using the Taylor formula .

利用泰勒公式对这个辨识的非线性的预测模型在某个工作点附近进行线性化，得到线性表达式，并以此为基础通过广义预测控制算法对系统进行控制。

Taylor formula is used to linearize the nonlinear model , and get a linear model . Finally , generalized predictive control algorithm is applied to the linear model .

原始的二阶线性微分方程被一有小偏差的一阶微分方程代替，再使用辛普生公式及泰勒公式，可在对小偏差δ的迭代上，求得问题的解。

The original second order differential equation is replaced by an approximate first order differential equation with a small deviation and is solved efficiently by employing the Simpson rule , Taylor rule .

在无约束规定的条件下，利用向量值函数的泰勒公式、择一定理，证明了约束多目标规划弱有效解满足的几个充要条件。

The paper introduced the use of the Taylor formula of the vector-valued function and Gordan Selection principle to prove several sufficient and necessary conditions about the weak efficient solution for convex multiobjective programming .

本文在B/S架构的基础上提出了车削参数优化的网络实现系统结构，并根据传统的切削理论和经典泰勒公式建立了车削参数优化的数学模型，在。

This paper presents network architecture for cutting process parameter optimization , which is supported by the Browser / Server model . The optimization mathematic model is based on the traditional cutting theory and classical Taylor formula .