重数

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

For example, one of our conclusions is that a nonsingular QSIC has one affinely finite component if and only if the characteristic equation of the two quadrics has two distinct real roots and a pair of complex conjugate roots.

由于两二次曲面的特征方程实根个数及其重数可用精确的计算方法得到，本文分类结果可用于实现对任意两二次曲面的非平面交线拓扑形态的判断。

Under the appropriate assumptions, the asymptotic solutions of the problem with different forms are obtained according to the multiple number of the root of some equation, which is satisfied by the boundary value of the reduced problem, by giving the general expressions for the coefficients of outer solution expansion and the corresponding boundary conditions.

在适当的假设下，通过给出外部解展开式系数及其对应边界条件的一般表达式，根据退化问题的边值作为某方程的根的重数，得到了此问题不同形式的渐近解。

In this thesis we mainly study normal family of meromorphic functions and itsapplication in complex dynamics.

在2.5节中，我们考虑涉及重数的正规定则，改进了定理2.5.1，证明了

One is theexplicit formula for strict-connected acyclic hypergraphs:〓where a=r-d,m=/a;the other is the recurrence formula for linearacyclic hypergraphs:〓where the numbers of r-1 and r in the multinomial coefficient are j and krespectively,〓 and 〓.

一个是关于严格-维连通无圈超图的显式公式：〓其中a=r-d，m=/a；另一个是线形无圈超图的递推公式：1=〓其中r-1与r在多重组合数中的重数分别是j与k，〓且f(0，r)=1。

A non-linear programming model was established which considered both assignment of machine and time arrangement for the production environment with multi-stage, multi-machine and different refining number. The hybrid intelligent optimal scheduling method was presented which included assignment of machine based on expert system, neighborhood search based on man-machine interaction, and time optimization based on model conversion.

针对多阶段、多设备以及精炼工序重数不同的炼钢连铸生产调度问题，建立了综合考虑工序设备指派和作业时间安排的非线性规划模型，提出了基于专家系统的设备指派、基于人机交互的邻域搜索与基于模型转换的时间优化相结合的三阶段炼钢连铸混合智能优化调度方法。

The nullity of a graph is the multiplicity of the eigenvalue zero in its spectrum.

图的零度是指在图的谱中特征值0的重数。

The nullity of a graph G is the multiplicity of the eigenvalue zerodenoted by η

G的特征值零的重数称为G的零度记作η

An algorithm for constructing a class of symmetric-antisymmetric orthogonal refinable functions with multiplicity 2r is presented.

给出一类重数为2r的正交对称-反对称多小波的构造算法，即对任给长度为2N的对称-反对称正交多小波，通过本文所给的构造算法可以得到长度为2N+1的对称和反对称多小波。

Repeated eigenvalues occur with high multiplicities in the Laplacian matrices of full binary tree s.

满二叉树的Laplacian矩阵有着高重数的特征值，其中1重复最为频繁。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。