The relationship between the complex roots of an algebra equation F(x) = 0 and the figure of function y =F(x) in a real plane was revealed.

Solving the high order algebra equation with real or complex coefficients.

A new numerical method for extracting the roots of algebraic equations;

Regularity of algebraic equation of generalized complex number.;

The finite difference method approximatively takes a set of algebraic equations of deflection being an unknown quantity as a set of differential equations of deflection curve and calculates the set of algebraic equation ,so the deflection of a point.

This paper focuses on the number of algebraic equations,which describe the S-boxes of several famous block ciphers such as DES,AES,MARS and SERPENT.

Ritt\|Wu′s method of characteristic sets is an effective method to solve algebraic equations by computer, while one cannot get the multiplicity of an isolated solution by this method so far.

A robust H-infinity control scheme of output feedback based on an algebraic Riccati equation was presented to stabilize the closed loop system.

By means of the positive-definite solutions of algebraic Riccati equations,the robust H ∞ dynamic output feed-back controller is constructed,under which the closed-loop systems are of internal stability and reduce the H ∞ norm of the trans-fer function from the disturbance to the controlled output to a prescribed level for all admissible uncertainties and all positi.

In a large multihop sensor network,the controllers and the plants usually communicate via unreliable wireless channels,and the algebraic Riccati equation is modified because of the random packet losses.