查询词典 prime factorization

Prime Factorization.

素因子。以刚才练习中的 isprime 和 getfactors 函数为基础编写一个函数，它接受一个整数作为参数，返回该整数所有素数因子的列表。

Before the Prime Minister could ask why he was dripping all over the Axminster, Fudge had started ranting about a prison the Prime Minister had never heard of, a man named "Serious" Black, something that sounded like "Hogwarts," and a boy called Harry Potter, none of which made the remotest sense to the Prime Minister.

首相还没来得及开口问他干嘛要把地毯弄得都是水，福吉在就开始咆哮了，他提到一个首相从来没有听说过的囚犯，叫做"小添乱星"布莱克，一个听起来像霍格沃茨的东西，还有一个叫哈利·波特的男孩，没有一个是首相能理解的。

A special kind of prime dual ideals are defined in a lattice implication algebra, then their structures and properties are discussed. It is proved that the implication operation on this lattice implication algebra is determined by these prime dual ideals, and all of these prime dual ideals compose a lattice implication algebra which is lattice implication isomorphic to the former lattice implication algebra.

在格蕴涵代数中定义了一类特殊的素对偶理想，讨论了它们的结构和性质，证明了该格蕴涵代数中的蕴涵运算可以由这些特殊的素对偶理想所确定，并且这些特殊的素对偶理想全体自然地构成一个格蕴涵代数，它和原格蕴涵代数具有格蕴涵代数同构关系。

Every integer can be written uniquely as a product of prime factors, and that because the Fermat number are co-prime, each prime number can appear in at most one Fermat number.

每个整数都可以被独特得分解质因数，而且因为费马数是互质的，每一个质数最多只能在一个费马数中出现。

This paper analyzes the property of FNT, the characteristics of Kernel Matrixes and the relationship between Kernel Matrixes of two-dimensional Fermat number transform whose modulus are odd prime and image data, and presents and proves the deduction of the theorem which demonstrates the relationship among different transform matrixes corresponding to different roots of unity under the same odd prime modulus of FNT, and reveals the essence of FNT whose modulus are odd prime.

分析二维Fermat数变换性质、正反变换核的特点、二维模为奇素数的二维Fermat数变换正反变换核以及与图像数据的关系，提出了不同单位根对应变换矩阵间的关系定理的推论，证明了该推论中模为奇素数的二维Fermat数变换的不同单位根对应的变换矩阵之间的关系，揭示了模为奇素数的二维Fermat数变换的本质，在构造离散图象数据Fermat数变换时为单位根的选择奠定了理论基础。

The main contributions of the second part of this dissertation are focused on the cryptographic properties of logical functions over finite field, with the help of the properties of trace functions, and that of p-polynomials, as well as the permutation theory over finite field: The new definition of Chrestenson linear spectrum is given and the relation between the new Chrestenson linear spectrum and the Chrestenson cyclic spectrum is presented, followed by the inverse formula of logical function over finite field; The distribution for linear structures of the logical functions over finite field is discussed and the complete construction of logical functions taking on all vectors as linear structures is suggested, which leads to the conception of the extended affine functions over finite field, whose cryptographic properties is similar to that of the affine functions over field GF (2) and prime field F〓; The relationship between the degeneration of logical functions and the linear structures, the degeneration of logical functions and the support of Chrestenson spectrum, as well as the relation between the nonlinearity and the linear structures are discussed; Using the relation of the logical functions over finite field and the vector logical functions over its prime field, we reveal the relationship between the perfect nonlinear functions over finite field and the vector generalized Bent functions over its prime field; The existence or not of the perfect nonlinear functions with any variables over any finite fields is offered, and some methods are proposed to construct the perfect nonlinear functions by using the balanced p-polynomials over finite field.

重新定义了有限域上逻辑函数的Chrestenson线性谱，考察了新定义的Chrestenson线性谱和原来的Chrestenson循环谱的关系，并利用一组对偶基给出了有限域上逻辑函数的反演公式；给出了有限域上随机变量联合分布的分解式，并利用随机变量联合分布的分解式对有限域上逻辑函数的密码性质进行了研究；给出了有限域上逻辑函数与相应素域上向量逻辑函数的关系，探讨了它们之间密码性质的联系，如平衡性，相关免疫性，扩散性，线性结构以及非线性度等；讨论了有限域上逻辑函数各类线性结构之间的关系，并给出了任意点都是线性结构的逻辑函数的全部构造，由此引出了有限域上的"泛仿射函数"的概念；考察了有限域上逻辑函数的退化性与线性结构的关系、退化性与Chrestenson谱支集的关系；给出了有限域逻辑函数非线性度的定义，利用有限域上逻辑函数的非线性度与相应素域上向量逻辑函数非线性度的关系，考察了有限域上逻辑函数的非线性度与线性结构的关系；利用有限域上逻辑函数与相应素域上向量逻辑函数的关系，揭示了有限域上的广义Bent函数与相应素域上的广义Bent函数的关系，以及有限域上的完全非线性函数与相应素域上向量广义Bent函数之间的关系；给出了任意有限域上任意n元完全非线性函数存在性与否的完整证明，并利用有限域上平衡的p-多项式的性质给出了有限域上完全非线性函数的一些基本构造方法。

Where the debt transferred, the concerned right of mortgage is transferred simultaneously, unless otherwise provided by law or agreed by parties. According to the word, the mortgagee and the mortgagor may agree that the mortgage of ship is not transferred with transferred prime debt. But they cannot agree that the right of mortgager is apart from the prime debt to transfer or become the right of mortgage for other debt. Where the debtor' performance ability and credit is better, as well as the debtor and the mortgagor are the same or have affiliated relation, it is possible that the right of mortgage is not transferred with transferred prime debt.

船舶抵押权人可以和抵押人约定除了"债务人不履行到期债务"以外的实现抵押权的情形，如约定当债务人有其他的违约行为或经营不善将影响到债务人的履约能力时、显著的船舶市场行情下降将影响船舶抵押权实现的额度、显著的船况下降将使船舶出现优先权和船舶留置权的可能性增加等情形出现时，船舶抵押权人可以实现债权。

Seven experiments were conducted in the present study to test and verify two inferences:(1) In character decision performance, high frequency character have not character stroke and component number effect, but low frequency character is an essential condition to stroke and component number effect;(2) In prime condition, when SOA is very short (SOA=56ms), component character can prime the recognition of low frequency compound characters, but failure to prime the high frequency compound characters.

在此基础上，本文通过7个行为实验验证了这一假设的两个重要推论：(1)在字决定任务中，高频汉字不存在部件数和笔画数效应，而低频字不必然存在笔画数和部件数效应；(2)在启动条件下，当SOA较短（=56毫秒）时，成分字仅对低频合体字有启动效应，而对高频合体字没有启动效应。

Building elliptic curves over large prime field with nearly prime orders or prime orders.

构造大素域Z〓上素数阶或近乎素数阶椭圆曲线。

As Ramjet and Vector Prime duelled high above Cybertron, Nemesis Prime entered the Spark chamber of Primus, only to be confronted by a very unexpected foe - Omega Prime, who stopped him draining all of Primus' lifeforce.

当喷气机和引天行在赛博坦上方决斗时，黑暗擎天柱进入了元始天尊的火种室。

Molecular Distillation is a kind of high vacuum distillation method, which is suitable for the separation of high boiling, heat sensitivity and viscidity products.

分子蒸馏技术是一种在高真空条件下进行的连续蒸馏过程，适合于分离高沸点、热敏性及具有生物活性的混合物。

They are to the Noughties what yuppies were to the Eighties .

那在六十年代是时髦的，但在八十年代肯定是过时了