查询词典 algebraic adjunction

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。

This paper discussed the algebraic multiplicity of the complex eigenvalues of population operator.

讨论了人口算子复本征值的代数重数问题。

We will obtain that 0 is an eigenvalue of the operator corresponding to the model with geometric and algebraic multiplicity one.

第三节中研究对应于该排队模型主算子的谱特征，得到0是该主算子及其共轭算子几何重数与代数重数为1的特征值。

It obtains that the transport operator A has no complex eigenvalue s, and the spectrum of the transport operator A consists of finite real isolated eigenvalues which have a finite algebraic multiplicity in trip Pas.

本文研究了板几何中一类具各向异性、单能、均匀介质迁移算子A的谱，得出了该算子A在带域Pas中无复本征值和由有限个具有限代数重数的实离散本征值组成等结果。

It obtains that the transport operator A has no complex eigenvalue s,and the spectrum of the transport operator A consists of finite real isolated eigenvalues which have a finite algebraic multiplicity in trip Pas.

本文研究了板几何中一类具各向异性、连续能量、均匀介质的迁移算子的谱，得出了该算子A在带域Pas中无复本征值和由有限个具有限代数重数的实离散本征值组成等结果。

We find serval conditions that are equivalent to 2-tournament matrices being singular,give the bound for the maximum algebraic multiplicity of 0 as an eigenvaulle of n order2-tournament,obtion the spectral radius of a singular 2-tournament matrix of order nis bounded above by n-2,and investigate 2-tournament matrix achieving this bound.

第五章讨论了2-竞赛矩阵的奇异性和特征值之间的关系，得到了2-竞赛矩阵奇异的充要条件，给出了2-竞赛矩阵的零化向量的刻划，得到了得分向量，3-圈数目与奇异性的关系；给出了2-竞赛矩阵的特征值0的代数重数的上下界，得到了奇异的2-竞赛矩阵谱根的最大值及谱根达到最大值的竞赛矩阵的得分向量的特征。

It proves the singular transport operator generates a strongly continuous C_0 semigroup V(t0)and the weak compactness properties of the second-order remained term of the Dyson-Phillips expansion for the C_0 semigroup V(t0)in L1 space,and to obtain the spectrum of the singular transport operator only consist of,at most,finitely many isolate eigenvalues which have a finite algebraic multiplicity in trip Γ.

证明了这类方程相应的奇异迁移算子产生C0半群和该半群的Dyson-Phillips展开式的二阶余项是弱紧的，从而得到了该迁移算子的谱在区域Γ中仅由至多有限个具有限代数重数的离散本征值组成等结果。上饶师院数学与计算机系江西上饶334001；南昌大学数学系江西南昌330047袁邓彬

Factoring integers ; algorithm ; algebraic number field

整数分解；算法；代数数域

Prime ideal decomposition is an important problem in algebraic number theory and is relative closely with the class field theory and so on.

素理想分解问题是代数数论中的一个重要课题，它与类域论的关系极为密切，因而如何判断K的素理想在K的有限扩张中的分解状况是一个十分有意义的问题。

The main work of this paper is to disscuss these Diophantine equations with the congruent method and the Algebraic Number Theory.

本论文主要利用简单同余法和代数数论方法讨论了以下不定方程：一。

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。