查询词典 algebraic integer

By using properties of scalar matrices over semirings,we generalize algebraic properties for the automorphisms of matrix algebras over commutative rings and obtain some algebraic properties for the automorphisms of matrix algebras over commutative semirings.

在这一章中，我们首先利用半环上常量矩阵的性质把环上矩阵代数的性质拓广到半环上，获得了交换半环上矩阵代数自同构的一些代数性质，接下来采用积和式的方法证明任意非负交换半环上n阶矩阵代数Tn的自同构的n次幂必为内自同构。

For truetype to type 1, there is a snake in the grass, in the form of integer grid rounding.

为truetype 对第一类型，有一条蛇在草，以整数栅格环绕的形式。

Finally obtains, when besides first item and absolute term, sum of the other coefficient for odd number, this integer polynomial does not have the rational root.

最后得出，除首项和常数项外，当其余各项系数之和为奇数时，该整系数多项式无有理根。

Hua Luo—geng [1] has proved the generalized Opial ineguality: where y is an absolutely continuous function on,y=o and l is a positive integer.

华罗庚先生[1]证明了当y是上绝对连续函数，y=O时，推广的opial不等式对正整数ι都成立。

Note that it is impossible to access the properties of an object through the integer index.

注意通过整数索引值存取对象中的属性是不可能的。

Research shows that the action integral of periodic orbit has a simple linear relation with the energy of system, we could semiclassically quantize the system using the nearnest integer of the periodic orbits' action integral.

研究表明，周期轨道的作用量积分与系统的能量有着简单的线性关系，可以利用周期轨道的作用量积分最接近的整数对系统进行半经典量子化。

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。

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。

The shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。