self mulching

In this paper ,we will completely characterize all power endomorphisms of rings without zero divisor.

设R是一个环,如果存在n>1使f:x→xn为R的一个环同态,则映射f:R→R称为一个幂自同态。

The relationship between power endomorphisms of rings and Frobenius homomorphisms is studied.

通过对环的幂自同态结构的研究,刻画出无零因子环的所有幂自同态。

In this paper,we will completely characterize all power endomorphisms of rings without zero divisor.

设R是一个环,映射f:R→R称为一个幂自同态,如果存在n>1使f:x→xn为R的一个环同态。

In this paper, three different sumation processes about power of natural number are presented.

文中就自然数幂的求和给出三种不同的方法，对加强理解求和问题，开拓解题思路提供了一种思维模式。

In this paper,an algorithm for momputing natural number power is given.

通过归纳法证明了自然数方幂新的求和公式∑i=1im=1m+1nm+1+∑αini,并用C语言验证了该算法的可行性。

In this paper, we point out a formula to calculate the partial sum of natural number power S n(m)=∑ni=1im, m=1,2,3,…And we can straightly get the result S n(m), instead of successive finding out S n(l) (l<m) before, and the process is very convenient.

本文给出的计算自然数方幂的部分和Sn( m) =∑ni=1im , m =1,2 ,3,…公式 ,不需要先求出 Sn( l) ( l

A recurrence formula of the coefficient of the sum of natural numbers power and the calculating formula of Bernoulli Number;

自然数幂和公式系数的递推公式和有关Bernoulli数的计算公式

Coefficient Formular Represented by Natural Number’s Power Sum and Combinatorial Numbers;

自然数幂方和二项系数表示的系数公式

Determination of the Last Figure or the Last Two Figures of Powers of Natural Numbers (n~(m_1))~(m_2);

自然数幂n~(m_1~(m_2))最后两位(一位)数字的确定

Intuitive Proofs of the Trigonometric Formulas and Formulas for the Sum of the Powers of Natural Numbers;

自然数幂和公式与三角公式的几何证明——数学史与数学教学关系个案研究

Expressed in terms of a designated power of e, the base of natural logarithms.

幂的表示以e为底的自然对数的被指明的幂的

Deduction of Sum Formula of Natural Number High Power;

自然数高次幂的求和公式的一种推导

A research on natural number power summation formula and the contained factors

自然数方幂求和公式及所含因式的研究

Weighted Adaptive Histogram Equalization Based on Exponential Function

基于幂函数的加权自适应直方图均衡

Automorphisms of the unipotent subgroup of the Chevalley group over the integral ring;

整数环上Chevalley群的幺幂子群的自同构

Automorphisms of the Maximal Nilpotent Subalgebra of Type D_n Lie Algebras;

D_n型李代数的极大幂零子代数的自同构

The multiplying of a quantity by itself a specified number of times;the raising to a power.

乘方一个数字与自身相乘若干次；达到一个幂

multiply (a number) by itself a specified number of times: 8 is 2 raised to the power 3.

一个数乘以它自身且相乘的次数是确定的；8是2的三次幂。

An algebraic quantity that when raised to a certain power equals zero.

幂零一个代数值，其若干次幂等于零

The Finite Group that the Order of Maximal Nilpotence Subgroups are Prime Power

极大幂零子群的阶为素数幂的有限群

The third power of a number or quantity.

某一数或量的三次幂.

This paper introduces theσ_ automorphism for finite dimensional commutative associative algebras and studies the structure ofσ_ semisimple algebras andσ_ nilpotent algebras.

通过引入有限维交换结合代数的σ自同态映射，研究了σ半单代数和σ幂零代数的结构。

Generating Funtion and a New Calculating Formula of the Sum Power of Natural Numbers

幂和序列的生成函数与幂和新的计算公式

The Integral Part of Powers of Real Quadratic Algebraic Integers;

一类实二次代数整数方幂的整数部分

Mathematical Recreation(Ⅴ):Generalized Fibonacci's Number and Sum of Power Series

数学娱乐(五)——推广Fibonacci数列与幂级数和