Examples of 'are isomorphic' in a sentence
Meaning of "are isomorphic"
are isomorphic - In mathematics, two objects are considered isomorphic if they have the same structure or properties, despite potentially having different appearances or forms
How to use "are isomorphic" in a sentence
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are isomorphic
Two graphs and are isomorphic if and only if.
All finite fields of a given order are isomorphic.
Thus these are isomorphic combinatorial classes.
Determine whether two vector spaces are isomorphic.
Two mathematical objects are isomorphic if an isomorphism exists between them.
Prove that any two coproducts are isomorphic.
They are isomorphic to one another.
How to show two groups are isomorphic.
If two simple graphs are isomorphic then their line graphs are also isomorphic.
Eliminate any node whose two children are isomorphic.
We say that the objects and are isomorphic if there is an isomorphism between them.
Two representations with the same character are isomorphic.
And those three series are isomorphic to one another.
We are therefore assured that those two solutions are isomorphic.
These sets are isomorphic.
See also
Posets are equivalent to one another if and only if they are isomorphic.
Note that the natural numbers are isomorphic to lists of units.
Two polytopes are called combinatorially isomorphic if their face lattices are isomorphic.
These controls are isomorphic.
Two varieties are birationally equivalent if and only if their function fields are isomorphic.
Both geometries are isomorphic.
One then shows that two irreducible representations with the same highest weight are isomorphic.
The isomorphism problem asks whether these are isomorphic for different numbers of generators.
It is not even known if any two free group factors are isomorphic.
Two irreducible representations are isomorphic if and only if they have the same highest weight.
It asks whether two graphs are isomorphic.
If Γ and Δ are isomorphic as discrete groups then they are conjugate.
Conclude that the graphs are isomorphic.
Two graphs G and H are isomorphic if there exists a bijective function.
The almost split sequences are isomorphic to.
Indeed U and V are isomorphic if and only if they have the same dimension.
We say that these groups are isomorphic.
Semi-Thue systems are isomorphic to unrestricted grammars.
Any two finite fields with the same order are isomorphic.
Typically, references are isomorphic to memory addresses.
And have the same number of elements if and only if and are isomorphic.
Is perfect, so and are isomorphic as vector spaces.
One looks for instances in which meaning and usage are isomorphic.
As geometries, these planes are isomorphic to the Fano plane.
The orbits with respect to two groups from the same conjugacy class are isomorphic.
Here different solutions are identified if they are isomorphic that is, geometrically the same.
Two Lie groups are locally isomorphic if and only if their Lie algebras are isomorphic.
The controls are isomorphic - one to one - they respond only to me.
The controls of the Tardis are isomorphic.
Kirillov -- reshetkin modules are isomorphic to cv-modules for some partition explicitly described.
Two fields are said to be Witt equivalent if their Witt rings are isomorphic.
Their operators, cross-over, mutation, and reproduction, are isomorphic with the synonymous biological processes.
This Hopf algebra and non commutative symmetric functions are isomorphic.
Theorem 27, Two Hilbert spaces are isomorphic if and only if they have the same dimension.
All cyclic groups of infinite order are isomorphic to Z.
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Examples of using Isomorphic
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Isomorphic semigroups have the same structure
And give rise to isomorphic normed spaces
All finite fields of a given order are isomorphic
