查询词典 prime factorization

This paper introduces and investigates the filter theory of pseudo NM algebra. The notions of filters, generated filters, normal filters and prime filters etc. are defined. Their basic properties are investigated, with the structures of generated filters obtained. We show that prime filters and irreducible filters are equivalent, and that maximum filters must be prime filters. The prime filter theorem of pseudo NM algebra and its some corollaries are established.

引入了伪NM代数的滤子理论，定义了滤子、生成滤子、正规滤子和素滤子等概念，研究了它们的特征性质，给出了生成滤子的结构，证明了在伪NM代数中素滤子与不可约滤子等价以及极大滤子必是素滤子，建立了伪NM代数的素滤子定理及其推论。

In prime number distributed research process,and through established one kind of new sieve method and the stair theory,this article obtained about three group of prime number distribution recurrence formula: The 1st is not bigger than x the prime number integer recurrence formula;The 2nd is not bigger than x the twin prime integer recurrence formula;The(3rd Recurrence) formula.

在研究素数分布过程中，通过创立一种新的筛法与台阶理论，得到关于素数分布的三组递推公式：不大于x的素数个数与孪生素数对数量的递推公式；不大于x的孪生素数个数的递推公式；任意偶数x≥6表为两个奇素数之和与孪生素数对数量对数的递推公式。

The influences of derivations and adjoint ideal semigroups of prime ring with characteristic 2 on the prime ring are discussed, and several sufficient conditions for the prime ring being communitive ring or S4-ring and some necessary conditions for a class of prime rings being communitive rings are obtained.

先给出了一个利用导子和理想来判断素环的可交换性结论的证明，然后讨论了特征为2的素环的导子和归联理想半群对这个素环的影响，得到了素环成为交换环或者S4-环的几个充分条件及一类素环成为交换环的必要条件。

Chinese Vice Premier Wang Qishan, the Cambodian Prime Minister Hun Sen, Deputy Prime Minister Hor Namhong, Myanmar Prime Minister Thein Sein, Lao Vice President of the Yang, the Philippines House Speaker普罗斯培Lares Northrop Grumman, the Vietnamese Deputy Prime Minister Hoang Trung Hai, Brunei Princess玛斯娜to attend this expo, business summit.

中国国务院副总理王岐山，柬埔寨首相洪森、副首相贺南洪，缅甸总理登盛，老挝国家副主席本扬，菲律宾众议长普罗斯培。诺格拉雷斯、越南副总理黄忠海、文莱公主玛斯娜出席本届博览会、商务峰会。

Based on this, to the recent years the related questions which appear frequently in the middle school mathematics competition, nimble utilization the aliquot concept, the relative prime nature, the combinatorial nature, the factorization, as well as the conclusion of the continual integer product nimbly can by aliquot knowledge and the methods, and so on, carried on the proof and the explanation.

在此基础上，对近年来在中学数学竞赛中频繁出现的相关问题，灵活运用整除概念、互素性质、组合性质、因式分解以及个连续整数的乘积能被整除的结论等知识和方法，来进行证明与解答。

This process, known as prime factorization, should output a list of

例如输入 20 ，返回结果应该是 [2， 2， 5] 。

Let Nk be the number of factors of 2 in the prime factorization of Ik .

定义Nk为lk的质因数分解中2的个数。

The applied mathematics in cryptography is mainly consisting of the study of prime factorization,Finite Field,Elliptic Curve and so on.

关于暗号理论中的应用数学主要是素因子的分解，hashu关数，有限体，群论，数论和代数学等等。

For the implementation of NRBAC model,a new implement mechanism,which is a binary two-key-lock pair access control scheme using prime factorization (TPB-2-KLP),is presented.

针对NRBAC模型的实现，文中又提出了一种新的RBAC实现机制——基于时间戳和素数因子分解的二进制双钥-锁对( TPB-2-KLP)访问控制方案。

The 1-generator quasi-cyclic codes and their duals are the most frequently encountered QC codes in the literature. Séguin discusses the construction and the enumeration of 1-generator QC codes in the special case where the prime factorization of x~m — 1 is the same in IF_qn as in IF_q.

单生成元的拟循环码及其对偶码是拟循环码中研究最多的一种。Séguin在要求x~m-1在F_q及F_中具有相同的分解的条件下，讨论了单生成元的拟循环码的结构及计数。

Bob Eckert has been chairman and chief executive of Mattel for eight years.

美泰董事长兼首席执行官鲍勃·埃克尔特在任已8年。

The outlook for honors and disgraces carries on and surpasses the traditional outlook for honors and disgraces theoretically, and carries on and develops the theory of construction of socialist mora...

社会主义荣辱观的提出在理论上是对传统荣辱观的一次继承和超越，是对社会主义道德建设理论的继承和发展，在实践上有利于形成良好的社会风尚。