 May 2022

cs3110.github.io cs3110.github.io

They are syntactically different but semantically equivalent.
In other words they have isomorphic function definitions as their resulting type signature is identical.

 May 2020

en.wikipedia.org en.wikipedia.org

A plane graph is said to be selfdual if it is isomorphic to its dual graph.

 Apr 2020

en.wikipedia.org en.wikipedia.org

Thus isomorphic structures cannot be distinguished from the point of view of structure only, and may be identified.



en.wikipedia.org en.wikipedia.org


In informal contexts, mathematicians often use the word modulo (or simply "mod") for similar purposes, as in "modulo isomorphism".


medium.com medium.com

Isomorphism itself is not purely a JavaScript thing. You can also build an isomorphic application in Dart or even use two different languages/stacks to render the same result. In fact there are many “isomorphic” applications which render a full HTML document on the server using PHP, Java or Ruby and use JavaScript and AJAX to create a rich user experience in the browser. This was the way things were done before the rise of Single Page Applications. The only real reason isomorphism is tied to JavaScript is because it’s the only language widely supported in the browser, and so at least part of the whole thing will use JavaScript. There’s no such thing as Isomorphic JavaScript, only isomorphic applications.

Isomorphism in my mind simply refers to the fact that the web application can be rendered on multiple platforms (in the browser and on the server).

 Dec 2017

en.wikipedia.org en.wikipedia.org

Isomorphism in the context of globalization, is an idea of contemporary national societies that is addressed by the institutionalization of world models constructed and propagated through global cultural and associational processes.

 Sep 2016

bartoszmilewski.com bartoszmilewski.com

morphisms,
From wikipedia:
morphism: *structure preserving map from one mathematical structure to another
structure is an aggregate thing  about the domain not about any one object in the domain.
In set theory, morphisms are functions; in linear algebra, linear transformations; in group theory, group homomorphisms; in topology, continuous functions
So, in settheory functions are structure preserving maps from a set to another.
In linear algebra, linear transformations are structure preserving maps from ...
In group theory, group homomorphisms are structure preserving maps from elements of the group (?) to ...
In Topology, continuous functions are structure preserving maps from one /region/ (?) to another.
In category theory, morphism is a broadly similar idea, but somewhat more abstract: the mathematical objects involved need not be sets, and the relationship between them may be something more general than a map.
