#homomorphisms

[shapefrog27]

Remember it's homomorphisms and not heteromorphisms. Happy last day of pride month :)

[gay-mathematician-portmanteau]

single thread math episode 15: since derivatives are a homomorphism from the set of differentiable functions to the set of functions, we can scrap the entire field of analysis. examining homomorphic algebraic structures may cause us to hemorrhage a small amount of analytic information, but the elegance in simplicity more than makes up for it. there is enough to study in the structure of various morphisms to keep us busy for eternity, and it is objectively true that meta-mathematical insight is more significant than the absurd specificity with which analysts devote themselves to their puny work.

[lawsofemotion]

A blog about mathematics.

Updated Rings and Modules: Quotient Groups and Homomorphisms!

[lawsofemotion]

A blog about mathematics.

Updated Chapter 11: Homomorphisms!

[studyingwithjessie]

Homomorphisms

[upper-bound-beez]

i love this lady and her videos

[isomorphismes]

Many voting paradoxes (e.g. Arrow’s theorem) ultimately stem from the fact that there is no deterministic way to map [0,1] to {0,1} in any “homomorphic” manner, but this becomes possible once some randomness is permitted.

Terry Tao

[isomorphismes]

Any smooth compact manifold is diffeomorphic to the configuration space of some planar linkage.

pictures by Robert Ghrist and Kevin Walker

By the way: this is how windscreen wipers work. (last picture)