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单词 automorphism
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Examples ofautomorphism

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Here we study some of their basic properties, such as theirautomorphismgroup, diameter, and spectrum.
From theCambridge English Corpus
In the final section, we show that any symmetry of the dynamical system gives rise to anautomorphismof the algebra.
From theCambridge English Corpus
R is called hyperfinite if it can be generated by a singleautomorphism.
From theCambridge English Corpus
At the same time we see that theautomorphismconstructed there is isotopic to the identityautomorphismof the algebra.
From theCambridge English Corpus
Finally, it is easy to see that theautomorphismgroup of a stable map (over a field) is finite (the weights only help).
From theCambridge English Corpus
In fact an innerautomorphismthat preserves such a triple is trivial while any two such triples are conjugate.
From theCambridge English Corpus
The twisted odd graphs are obtained from the well-known odd graphs through an involutiveautomorphism.
From theCambridge English Corpus
To prove that it is anautomorphism, we exhibit an inverse.
From theCambridge English Corpus
These basic properties are used to compute the dual entropy of an arbitraryautomorphismof a crystallographic group.
From theCambridge English Corpus
Then, we can see that 2 = and, hence, is anautomorphism.
From theCambridge English Corpus
Note that the parameter does not appear in the formulas; its only role is to specify the algebra on which theautomorphismacts.
From theCambridge English Corpus
We show that symmetry, represented by a graph'sautomorphismgroup, can be used to greatly reduce the computational work for the substitution method.
From theCambridge English Corpus
However, the notion ofautomorphismassociated with groups is in some sense too 'trivial' for characterising the symmetry involved in a reversible computation.
From theCambridge English Corpus
Similarly, the kernel of the action of the outerautomorphismgroup of a free group is finitely generated and residually torsion-free nilpotent.
From theCambridge English Corpus
The conjugacy is anautomorphismof the torus and, thus, is not homotopic to identity.
From theCambridge English Corpus
We must now show that every matroidautomorphismis obtained in this manner.
From theCambridge English Corpus

These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.

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更新时间:2024/12/28 15:18:25