查询词典 integer optimization

The input of integer pair, the output of a graph adjacency matrix.

详细说明：根据输入的整数对，输出一个图形的邻接矩阵。

First the theorem is verified for the smallest admissible value of the integer.

归纳法：证明涉及到正整数变量的定理所运用的两部法。

Software Description: XICalc is an integer calculator program with the following features: multiple precision integers with millions of digits; uses Hartley Transform to speed-up long multiplies; separate input and outputnotation, base 2 to base 36; greatest common divisor function; Modulo arithmetic options; Bernoullinumbers, Euler Numbers; Boolean functions; random number generator; prime factor algorithm using theElliptic Curve Method; number theoretic functions phi, sigma and tau; prime testing and searching using the Adleman function; algebraic notation; if-then-else statement; go-to statement; can run XICalc code from files; hot help from F1 key; and it抯 written in Microsoft Visual C#.

XICalc 是一款带有如下功能的综合性计算器软件：带有百万数位的多精度整数；使用 Hartley Transform 加速长整型多样化计算；以2到36为基数分隔输入和输出符号；最大公约数函数；模数算法选项；Bernoulli 数字；Euler 数字；布尔函数；随机数字生成器；使用圆周曲线算法的主要因素运算法则；π，τ，Σ的数字理论函数；使用 Adleman 函数的最初测试和搜索功能；代数符号；if-then-else 语法结构声明；go-to 语法结构声明；来自于文件的XICalc 代码；F1键的热点帮助；并且该软件是采用适用于 Windows 操作系统的微软 Visual C#。

Ber use the algebraic integer ring of quadratic cyclotomic field to construct block codes for coding two dimensional signals which are able to correct some error patterns.

uber利用二次分圆域的代数整数环构作了面向二维信号且具有代数译码算法的纠错码。

Let K be the 3 cyclotomic field, Esubscript D(superscript λ: y^2=x^3-2^4 3^3 D(superscript λ) be an elliptic curve defined over K, where D∈K is a square-free algebraic integer and λ∈Z.

设K为三次分圆域，E下标 D(上标λ：y^2=x^3-2^4 3^3 D为定义在K上的椭圆曲线，其中D为K中无平方因子的代数整数，λ∈Z。

A photoresist composition including a polymer is disclosed, wherein the polymer includes at least one monomer having the formula: wherein, R1 is selected from H, linear, branched or circular alkyl with 1-20 carton atoms, linear, branched or circular alkyl with 1-20 C atom, which is perfluorinated or semi-perfluorinated; and CN; R2 is alicyclic group with 5 or more carbon atoms; X is selected from methylene, aether, ester, amide and the connecting part of the carbonate; R3 is linear or branched alkylene with one or more carbon atoms or perfluorinated or semi-perfluorinated linear or branched alkylene; R4 is selected from H, CH3, CF3, CHF2, CH2F and perfluorinated or semi-perfluorinated aliphatic group; R5 is selected from the CF3, CHF2, CH2F and perfluorinated or semi-perfluorinated substituted and unsubstituted aliphatic group; n is 1 or higher integer; OR12 is OH or at least an acid unstable group selected from the tert-alkyl carbonate, tert-alkyl ester, tert-alkyl aether, acetal and ketal.

本发明公开了一种包含一种聚合物的光刻胶组合物，该聚合物包括至少一种具有下列结构的单体：其中，R 1 选自氢、具有1～20个碳原子的线形、支化或环状烷基、半氟化或全氟化的具有1～20个碳原子的线形、支化或环状烷基、以及CN；R 2 为具有5个或更多个碳原子的脂环基团；X为选自亚甲基、醚、酯、酰胺和碳酸酯的连接部分；R 3 为具有1个或多个碳原子的线形或支化亚烷基或者半氟化或全氟化的线形或支化亚烷基；R 4 选自氢、甲基(CH 3 )、三氟甲基(CF 3 )、二氟甲基(CHF 2 )、氟代甲基(CH 2 F)、以及半氟化或全氟化的脂族基团；R 5 选自三氟甲基(CF 3 )、二氟甲基(CHF 2 )、氟代甲基(CH 2 F)、以及半氟化或全氟化的取代或未取代的脂族基团；n为1或更大的整数；OR 12 为OH或者选自叔烷基碳酸酯、叔烷基酯、叔烷基醚、缩醛和缩酮的至少一种酸不稳定基团。

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。

Primary theory of numbers; Integer; Aliquot; Aliquot characteristic; Mathematics competition

初等数论；整数；整除；整除特征；数学竞赛

American Standard Code for Information Interchange characters and their ordinal integer values.

Python也提供了ASCII码与其序列值之间的转换函数。

Python also provides functions to go back and forth between ASCII(American Standard Code for Information Interchange) characters and their ordinal integer values.

Python也提供了ASCII码与其序列值之间的转换函数。

Don not attempt to do something which you can not to do.

不要企图做那些办不到的事情。

The expression of CTGF and TNF-αweredetected by immunochemistry and the number of Clara Cells was calculated.

光镜下观察肺组织的病理变化，采用免疫组化染色观察肺组织中结缔组织生长因子和肿瘤坏死因子-α的表达和Clara细胞的数量。