查询词典 spatial isomorphism

In this chapter, firstly, the definition of rough semigroups is given afresh. Then based on rough groups, rough subgroups, rough cosets, rough invariant subgroups, some properties of rough subgroups and rough invariant subgroups and the concept of rough quotient groups are introduced. Finally, based on some concepts of homomorphism and isomorphism of rough groups, basic homomorphism theorem and isomorphism theorem of rough groups are put forward and proved.

在这一章中，首先重新给出了粗糙半群的定义，其次在粗糙群、粗糙子群、粗糙陪集、粗糙不变子群的基础上，给出了粗糙子群的若干性质、粗糙不变子群的三个重要性质和粗糙商群的定义，最后在粗糙群同态与同构的基础上，给出了粗糙群同态基本定理与同构定理。

It is proved that an R-algebra isomorphism between two integral table algebras must be an integral table algebra isomorphism if it is compatible with the so-called normalizings of the integral table algebras.

我们证明了两个整表代数之间的一个R-代数同构必是一个整表代数同构只要它与一种标准化变换相容。

In reference [15], Muhly discribe the isometric algebral isomorphism and isometric reflixive algebra isomorphism on some triangle subalgebra og Nenclear algebra with diagonent. The first problem of this chapter is analyzing furtherlythe concrete form of the isometry on TUHF algebra.

Muhly等在文献[15]中讨论了带有对角的Nuclear C~*-代数中的某些三角子代数上的等距代数同构和等距反代数问题，本章讨论的第一各方面就是借助于Muhly的结论进一步分析TUHF代数上等距的具体表达形式。

In this paper a new necessary and sufficient condition of graphic isomorphism is proved which is stated as following: two graphs are isomorphic if and only if their subgraphs are isomorphic and the new vertices as well as their adjancy edges are corresponding with the property of isomorphism.

提出了一个新的判定图同构的充分必要条件，即在子图同构的前提下，根据新增顶点及相应关联边的关系，判断母图同构的充分必要条件。

Graph isomorphism ; NP problem ; P problem ; NPC problem ; Graph isomorphism complete

图同构； NP问题； P问题； NPC问题；图同构完备

Subgraph isomorphism is NP-Complete problem. So must avoiding subgrph isomorphism by canonical code and efficient algorithm.

因此，必须有个好的规范化编码和有效的算法来避免子图同构这个难题。

Since the graph isomorphism problem is neither known to be NP-complete nor to be tractable, researchers have sought to gain insight into the problem by defining a new class GI, the set of problems with a polynomial-time Turing reduction to the graph isomorphism problem.

由于图同构的问题既不是已知的NP完全问题，也不是听话的，研究人员设法深入了解这个问题，确定了一类新基的一系列问题，多项式时间图灵减少的图同构问题。

Then, by taking the local features provided by users as portions of the AAG, and the whole CAD model as the whole AAG, the problem of local feature matching is transformed into that of subgraph isomorphism. Subgraph isomorphism is a NP-complete problem.

在局部匹配过程中，用户输入的局部结构被表示成"子图"，待匹配的整体CAD模型被表示成"大图"；则在整体CAD模型中，检索局部结构的问题就被转换成在"大图"中寻找同构"子图"的问题。

At the same time, isomorphism for many special classes of graphs can be solved in polynomial time, and in practice graph isomorphism can often be solved efficiently.

与此同时，同构为许多特殊类别的图形就可以解决在多项式时间内，并在实践中图同构，往往可以有效地解决。

The spatial-temporal distribution of NPP along NECT and its response to climatic change were also analyzed. Results showed that the change tendency of NPP spatial distribution in NECT is quite similar to that of precipitation and their spatial correlation coefficient is up to 0.84 (P.01). The inter-annual variation of NPP in NECT is mainly affected by the change of the aestival NPP every year, which accounts for 67.6% of the inter-annual increase in NPP and their spatial correlation coefficient is 0.95 (P.01). The NPP in NECT is mainly cumulated between May and September, which accounts for 89.8% of the annual NPP. The NPP in summer accounts for 65.9% of the annual NPP and is the lowest in winter. Recent climate changes have enhanced plant growth in NECT. The mean NPP increased 14.3% from 1980s to 1990s. The inter-annual linear trend of NPP is 4.6 gCm^(-2)a^(-1), and the relative trend is 1.17%, which owns mainly to the increasing temperature.

结果表明：(1)NECT样带植被NPP的空间变化趋势同降水量的空间变化十分相似，由东到西逐渐降低，二者在空间上的相关性达到了0.84 (P.01)，说明NECT样带的植被NPP在空间分布上主要受水分趋动：(2)NECT样带植被NPP的年际变化主要是由各年份夏季NPP的变化造成的，夏季对NECT样带植被NPP的年际增长贡献率最大(67.6%)，二者之间的相关性达到了0.95 (P.01)；(3)NECT样带的植被NPP积累期主要发生在5-9月份，这5个月的NPP占了全年NPP总量的89.8%，整个夏季（6-8月份）的NPP占了全年的65.9%，冬季（12-2月份）的NPP最低，基本为0；(4)近19年来的气候变化促进了NECT样带的植被生长，从1980年代到1990年代，NPP显著增加，年代际相对增长率为14.3%，平均年际绝对增长趋势为4.6 gCm^(-2)a^(-1)，相对增长趋势为1.17%，这主要是由温度升高引起的。

There are different types of personal loans available.

有许多不同类型的个人贷款优惠。

The above mentioned teaching model of spiral rising can be used to avoid rigidness in teaching.

上述螺旋式上升的教学模式，可以避免教学形成模式後的僵化现象。