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Nov
10 |
awarded | Yearling |
May
10 |
awarded | Nice Answer |
May
3 |
comment |
Is there any geometry where the triangle inquality fails?
In evolutionary game theory the Fisher information metric is called the Shahshahani metric. See "Evolutionary Game Theory" by Hofbauer and Sigmund. The information divergence can be used to give a Lyapunov function for the replicator equation. I believe this goes back to Akin; others use an exponentiated form (e.g. Hofbauer and Sigmund). |
Apr
30 |
answered | Is there any geometry where the triangle inquality fails? |
Dec
9 |
awarded | Editor |
Dec
9 |
revised |
Homological Algebra for Commutative Monoids?
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Nov
23 |
comment |
What is an intuitive view of adjoints? (version 1: category theory)
Just to emphasize on part of this response, note that an adjoint pair provides a global solution (category-wide) as opposed to a local solution provided by universal maps. So universality is more general, in that if the universal map exists for every object in the category, the family of universal maps can be used to define an adjoint. |
Nov
23 |
comment |
Examples of mathematics motivated by technological considerations
Well it depends on what you mean by mathematical advance. If your metric is the creation of an entire new field, such as graph theory itself in this case, then I guess not. |
Nov
23 |
answered | Examples of mathematics motivated by technological considerations |
Nov
17 |
awarded | Supporter |
Nov
17 |
answered | Programming Languages based on Category Theory |
Nov
17 |
answered | Relating Category Theory to Programming Language Theory |
Nov
17 |
answered | Homological Algebra for Commutative Monoids? |
Nov
17 |
comment |
How do I check if a functor has a (left/right) adjoint?
It's not all that hard to verify the definition directly in a lot of cases. Do you mean "not tedious"-to-check? |
Nov
17 |
answered | How do I check if a functor has a (left/right) adjoint? |
Nov
9 |
awarded | Teacher |
Nov
9 |
answered | How do you keep your research notes organized? |