Similarity of form
Used in a Sentence
isomorphism
Definitions, parts of speech, synonyms, and sentence examples for isomorphism.
Editorial note
Presumably an inliner is meant to be a homomorphism, not an isomorphism - i.e., it only goes one way.
Examples18
Definitions4
Parts of speech1
Quick take
Similarity of form
Meaning at a glance
The clearest senses and uses of isomorphism gathered in one view.
A one-to-one correspondence
(chemistry) the similarity in the crystal structures of similar chemical compounds.
Definitions
Core meanings and parts of speech for isomorphism.
noun
Similarity of form
noun
A one-to-one correspondence
noun
(chemistry) the similarity in the crystal structures of similar chemical compounds.
noun
(sociology) the similarity in the structure or processes of different organizations.
Example sentences
Presumably an inliner is meant to be a homomorphism, not an isomorphism - i.e., it only goes one way.
But most code that has structural isomorphism should be replaced by a loop or a function composition; repeated structural isomorphism is a redundancy that can be eliminated.
It is arguably the abstraction that is the isomorphism and code that uses it could be called isomorphic.
There is an isomorphism of structures, but there is no computable algorithm that can perform the partition operation.
The univalence axiom states that in this new constructive mathematical framework, 'equality' and 'isomorphism' are exactly the same thing.
Now there is a only one model of the second order Peano axioms (up to isomorphism).
A fairly good summary, though more material on the Curry-Howard Isomorphism would have been nice.
You should recognize this, since it's the graph isomorphism approach everyone tries.
The fact that the new system has computational content and submits itself to computer proof-checking via the Curry-Howard Isomorphism is icing on the cake.
Written in C++14, uses Paxos, Cap'n Proto, lots of mechanical sympathy, and is queryable/traversable via subgraph isomorphism among other methods.
I love tools and I love a lot of the concepts in Meteor (not isomorphism, that is a fools errand).
In some sense equality is 'more rigid' than an isomorphism, obviously.
Quote examples
The problem is that some concepts might not have an "isomorphism" to the real world (as Hofstadter calls it).
In React / Javascript land, isomorphism means, "the same code is used to render on the server and in the browser"
This is probably obvious but why is the existence of singletons what destroys "isomorphism"?
"Corresponding or in similar form or relations" (Even in mathematics the identity function is an isomorphism, it follows from its definition.
Proper noun examples
Well, they noticed that you could add another branch to the Isomorphism: programs are points, types are topological spaces.
Isomorphism states that two things can be 'transformed' into each other through the existence of a function, along with its inverse.
Frequently asked questions
Short answers drawn from the clearest meanings and examples for this word.
How do you use isomorphism in a sentence?
Presumably an inliner is meant to be a homomorphism, not an isomorphism - i.e., it only goes one way.
What does isomorphism mean?
Similarity of form
What part of speech is isomorphism?
isomorphism is commonly used as noun.