英文字典中文字典


英文字典中文字典51ZiDian.com



中文字典辞典   英文字典 a   b   c   d   e   f   g   h   i   j   k   l   m   n   o   p   q   r   s   t   u   v   w   x   y   z       







请输入英文单字，中文词皆可：

isomorphic    
a. 同形的

同形的

isomorphic
adj 1: having similar appearance but genetically different [synonym:
{isomorphous}, {isomorphic}]

安装中文字典英文字典查询工具!


中文字典英文字典工具:
选择颜色:
输入中英文单字

































































英文字典中文字典相关资料:


  • terminology - What does isomorphic mean in linear algebra . . .
    Here an isomorphism just a bijective linear map between linear spaces Two linear spaces are isomorphic if there exists a linear isomorphism between them
  • what exactly is an isomorphism? - Mathematics Stack Exchange
    An isomorphism is a particular type of map, and we often use the symbol $\cong$ to denote that two objects are isomorphic to one another Two objects are isomorphic there is a $1$ - $1$ map from one object onto the other that preserves all of the structure that we're studying That second part is important, but it's often implied from context
  • What does it mean when two Groups are isomorphic?
    For sets: isomorphic means same cardinality, so cardinality is the "classifier" For vector spaces: isomorphic means same dimension, so dimension (i e , cardinality of a base) is our classifier I is a bit more complex but still not too difficult (you'll probably encounter it in your book sooner or later) to classify finite abelian groups
  • What is the difference between homomorphism and isomorphism?
    Isomorphisms capture "equality" between objects in the sense of the structure you are considering For example, $2 \mathbb {Z} \ \cong \mathbb {Z}$ as groups, meaning we could re-label the elements in the former and get exactly the latter This is not true for homomorphisms--homomorphisms can lose information about the object, whereas isomorphisms always preserve all of the information For
  • abstract algebra - What is exactly the meaning of being isomorphic . . .
    11 I know that the concept of being isomorphic depends on the category we are working in So specifically when we are building a theory, like when we define the natural numbers, or the real numbers, or geometry, I often hear that people say that such a structure is complete in the sense that any other set that satisfy their properties is
  • Isomorphic groups beyond the isomorphism: is this also true for . . .
    Each isomorphism has an inverse, which is also an isomorphism between the groups So yes: "being isomorphic" goes beyond the isomorphism in that strict sense What we mean when we say two things in mathematics, not just group theory, are isomorphic is that the algebraic structure remains the same up to a relabelling of all the constituent parts Consider, for example, the classical
  • Whats the difference between isomorphism and homeomorphism?
    I think that they are similar (or same), but I am not sure Can anyone explain the difference between isomorphism and homeomorphism?
  • How to tell whether two graphs are isomorphic?
    Unfortunately, if two graphs have the same Tutte polynomial, that does not guarantee that they are isomorphic Links See the Wikipedia article on graph isomorphism for more details Nauty is a computer program which can be used to test if two graphs are isomorphic by finding a canonical labeling of each graph
  • Are these two graphs isomorphic? Why Why not?
    Are these two graphs isomorphic? According to Bruce Schneier: "A graph is a network of lines connecting different points If two graphs are identical except for the names of the points, they are
  • What are useful tricks for determining whether groups are isomorphic . . .
    Proving that two groups are isomorphic is a provably hard problem, in the sense that the group isomorphism problem is undecidable Thus there is literally no general algorithm for proving that two groups are isomorphic To prove that two finite groups are isomorphic one can of course run through all possible maps between the two, but that's not fun in general For your particular example





中文字典-英文字典  2005-2009