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How to use isomorphism in a sentence

Looking for sentences and phrases with the word isomorphism? Here are some examples.

Sentence Examples
So no random isomorphism or pattern somewhere is going to count, and hence syntax is not observer-relative.
In institutional environments, in particular, organizations are rewarded for structural isomorphism.
In his talk Steinitz introduced an algebra over the ring of integers whose base elements are isomorphism classes of finite abelian groups.
If properly presented, an analogy may hide an isomorphism, and so may satisfy the three preceding criteria.
We say that two structures are isomorphic if there is an isomorphism from one to the other.
Homomorphisms, quotient groups, isomorphism theorems and permutation groups.
The dog says that there are no surfaces, just occasional strata of unusual density, and that there can't be abstaction because deep isomorphism is always required.
There must be a determinate and expressible structural isomorphism, even though one could not say that the blueprint realizes the form of the house.
Indeed, in mathematics, isomorphism is a perfect one-to-one, bijective mapping between two structures or sets.
The dysmorphism and isomorphism criteria were examined on the UF-100 in 120 patients with confirmed renal or postrenal hematuria.
The postulated isomorphism between words and things constitutes the characterizing feature of all philosophically based universal languages.
The isomorphism of compounds does not prove the isomorphism of their respective constituents.
Structural consistency is maximal when the analogy is an isomorphism, although lower levels are admitted.
Some types of analogies can have a precise mathematical formulation through the concept of isomorphism.
A homeomorphism, also known as a topological isomorphism, is the most basic space of this kind, revealing a continuous inverse function.
The notions isomorphism and homomorphism can be defined with further widening on the systems.
This isomorphism between consciousness and sound is on e that is consequently attributed to human nature.
There are, in addition, categorical axiomatizations of arithmetic, where a set of sentences is categorical if, and only if, all of its models are isomorphic, which means that there is only one model up to isomorphism.
Vector products exist in dimension 0, 1, 3, and 7 only, and are unique up to isomorphism in each dimension.
The following paper suggests that the institutional isomorphism of the new modes of governance stands in sharp contrast to the heteromorphism of organisational practices, resources and constraints.
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Examples from Classical Literature
A subgroup of a group G, which is transformed into itself by every isomorphism of G, is called a characteristic subgroup.
Moreover, the isomorphism is simple unless for one or more operations, other than identity, the sets all remain unaltered.
In this case H would contain a self-conjugate subgroup, and the isomorphism is multiple.
In the first case the isomorphism is spoken of as simple, in the second as multiple.
The following table shows where isomorphism may be generally expected.
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