Operation of Fermat's last Theorem

Analytical formulas for reflection ray tracing on the cylinder and cone base on the Fermat principle;

费马原理确定柱面和锥面反射点的解析表示式

A method of velocity tomographic inversion based on Fermat principle is presented by using travel times of transmitted waves from one borehole to another.

利用井间透射波旅行时，给出了一种以费马原理为基础的井间地震弯曲射线速度层析成象方法，数值计算表明了该方法比直射线法反演成象精度高。

The paper is to prove the refraction on two kinds of medium interfaces of electric displacement line using the boundary condition of the electric field and Fermat Principle.

利用电场边界条件和费马原理证明电位移线在两种介质界面上的折射。

An Algorithm for Multi-dimensional Fermat Number Transform;

多维费马数变换的一种算法

Presents the study of second order linear constant coefficient progressive regression equation with the latest achievements in the “greatest common divisor” theory to give the great significance of Fibonacci combination series equation, Fermat Number, and Mersenne Number, and a only exceptional value each.

用“最大公约数”理论的最新结果 ,研究二阶线性常系数齐次递归方程 ,给出斐波那契数列组合式、费马数、梅森数在组合数学上的重要意义和它各自有一个且唯一例外

In this paper we proved that a Fermat number is not part of a amicable triple.

对于不相同的正整数a,b,c,若σ(a)=σ(b)=σ(c)=a+b+c,则称它们为亲和三数组,在此给出了费马数不与任何正整数构成亲和三数组的结论。