functional calculus

In this chapter , we give some operator inequalities and norm inequalities by means of spectral decomposition and functional calculus .

在第二章中，作者以谱分解、函数演算等为工具，给出一些重要的算子不等式与范数不等式。

Lipschitz Properties of Riesz Functional Calculus

Riesz函数演算的Lipschitz性质

The differential equation for the vibration of the riser system is derived by means of functional calculus of variation .

采用泛函变分法导出了隔水管的振动微分方程。

And compact normal operators have some more excellent properties , such as its spectral representation , functional calculus and so on .

而正规的紧算子具有一些更好的性质，如正规紧算子具有离散的谱表示，正规紧算子的函数演算等。

By spectral decomposition of a Hermitian operator and functional calculus , some important norm inequalities on complex Hilbert space are obtained .

该文给出了它的另一种证明，同时应用算子分解和函数演算，证明了复Hilbert空间上的自伴算子的几个重要范数不等式。

The functional calculus is introduced to determine the optimal conversion rate so as to optimize the issuance strategy of convertible bond , thus offering a new way for the design of original indenture for convertible bond .

运用泛函变分原理，求出最优转换速率，并且进一步得到可转换债券的最优发行策略，为可转换债券发行条件的设计提供了一种新的方法。

It is operator matrix , the convexity and concavity of function , the spectral decomposition of operator and functional calculus that the author is using to generalize some classical inequalities and then to give series of important operator inequalities and norm inequalities .

本文作者就是借助算子矩阵、函数的凸性和凹性、谱分解、函数演算等为工具，将许多经典的不等式加以推广并给出一系列重要的算子不等式与范数不等式。

The method of dual functional calculus is adopted and ground state energy and wave function of helium aton and quasi_ helium ion Li + , Be + + , B + + + , C 4 + , N 5 + , O 6 + are obtained .

采用二元泛函变分的方法，求出了氦原子及类氦离子Li+，Be++，B+++，C4+，N5+，O6+的基态能量与波函数。

A new method to solve over-determined geodetic boundary value problem is proposed with the help of minimizing some kinds of functional in variation calculus .

本文借助于变分法中求泛函极小化的方法提出求解超定大地边值问题的新方法。

MathCAD combines a large library of functional capability including calculus , Laplace transforms , Bessel functions , statistics , and financial functions .

MathCAD组合了一个庞大的功能库，包括微积分、拉普拉斯变换、贝塞尔函数、统计和财务函数。

Expression of deflection curve of substructure subjected to linear lateral load is obtained as well as the functional and variation calculus and natural boundary conditions are considered .

运用泛函变分方法及结构自然边界条件，求得子结构任意线性水平荷载下的侧移曲线一般表达式。

Analysis and Research of Functional Mechanism of Relational Calculus

关系演算运行机制的分析与研究