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完全积
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  complete product
     In this paper, it is proved that the following two classes of graphs can be characterized by their spectra. (1) the complete product of a complete graph and the disjoint union of two complete graphs; (2) the direct product of an odd cycle with at least 3 vertices and a complete graph with two vertices.
     本文证明了下列两类图以它们的谱为特征:(1)一个完全图与两个完全图点不交并的完全积,(2)长不小于3的奇圈与二阶完全图的直积。
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  “完全积”译为未确定词的双语例句
     A SUFFICIENT CONDITION FOR COMPLETELY MULTIPLICATIVE FUNCTIONS
     完全积性函数的充分条件
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  相似匹配句对
     A SUFFICIENT CONDITION FOR COMPLETELY MULTIPLICATIVE FUNCTIONS
     完全性函数的充分条件
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     SEMIDIRECT PRODUCTS OF TWO SEMIGROUPS TO BE COMPLETELY ARCHIMEDEAN SEMIGROUPS
     完全阿基米德半群的半直
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     ON THE σ-PRODUCTS
     σ-
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     PROBLEM ABOUT PERFECT NUMBER
     完全数简介
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     Complete Theory for L(Q) Logic
     L(Q)逻辑的完全理论
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  complete product
A complete product state analysis in terms of vibration, rotation, spin-orbit and -states indicates that nascent ClO radicals are formed in v=0-6 vibrational states peaking at v=3.
      
Conditions for complete product release resulted in total loss of viability of the cells after treatment.
      
It optimizes the use of ingredient inventory within the plant's complete product line for a production period.
      
Following these guidelines will guarantee the automatic extraction of complete product models.
      
Implementing process capability indices for a complete product
      
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In this paper, it is proved that the following two classes of graphs can be characterized by their spectra. (1) the complete product of a complete graph and the disjoint union of two complete graphs; (2) the direct product of an odd cycle with at least 3 vertices and a complete graph with two vertices.

本文证明了下列两类图以它们的谱为特征:(1)一个完全图与两个完全图点不交并的完全积,(2)长不小于3的奇圈与二阶完全图的直积。

We proved that: Let T be a R -space,and f be a completely multiplicative function,if P(E)f∈ T holds for some polynomial p(z)∈ C[z],then there exists a suitable integer B≥ 1 such that (EB-1 )kf∈ T, B contains only such prime factors p for which f(p)=0 and k≥1 is the degree of p(z). Furthermore,if p(z) is a minimal degree polynomialwhich satisfies above conditions, then p(z) must be a product of some cyclotomic polynomials,and there exists at most k - 1 primes q for which f(q) = 0.

本文证明了如果T是R-空间,f是一个完全积性函数,若有k次复系数非零多项式P(z)使P(E)f∈T,则一定有正整数B使(EB-1)kf∈T,B的所有素因子p满足f(p)=0,并且如果P(z)是满足条件的最低次首1多项式,则P(z)一定可以表示为若干个分圆多项式Fd(z)的来积.此外使f(p)=O的素数p的个数不超过k-1.

Mobius inversion belongs in number theory. It is a new seismic inversionmeans, and particularly an integration way from mathematics. Mobius inversion isa direct method, without iteration, and it needs less computation and brings goodstability. The technique includes some essential points: logarithmic coordinatetransform of seismic data, followed by Mdbius inversion which needs an assumptionthat seismic wavelet is a function of nonzero full integration. The final inversion isthen achieved by doing antilogarithmic...

Mobius inversion belongs in number theory. It is a new seismic inversionmeans, and particularly an integration way from mathematics. Mobius inversion isa direct method, without iteration, and it needs less computation and brings goodstability. The technique includes some essential points: logarithmic coordinatetransform of seismic data, followed by Mdbius inversion which needs an assumptionthat seismic wavelet is a function of nonzero full integration. The final inversion isthen achieved by doing antilogarithmic transform after Mobius inversion. The detailed procedure of Mobius inversion is described in this article.

Mbius反演属于数论范畴。Mbius反演不仅仅是提供一种新的反演手段,更重要的是从数学上找到一种积分形式。Mbius反演是一种直接求解的方法,不需迭代,计算量小,稳定性好。文中介绍了该技术的反演基本原理,它主要是将地震记录进行对数坐标变换,从而引用Mbius的反演方法,其中主要一点是假设地震子波是非零完全积性函数。在反演基础上,再作反对数变换,就达到反演的目的。文中列出了Mbius反演详细的实现过程。

 
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