A function is determined by its effect on elements. That is, define an element of a set S S as a function 1 → S \mathbf {1} \to S. Then whenever f, g: X → Y f, g:X \to Y with fx = gx f x = g x for all ...

Sep 27, 2024 The first batch of axioms in the Elementary Theory of the Category of Sets, stated without mention of categories. ACT 2025 and the Adjoint School Sep 25, 2024 Here’s some basic ...

Here’s some basic information about the next big annual applied category theory conference — Applied Category Theory 2025 — and the school that goes along with that: the Adjoint School.

I’m teaching Edinburgh’s undergraduate Axiomatic Set Theory course, and the axioms we’re using are Lawvere’s Elementary Theory of the Category of Sets — with the twist that everything’s going to be ...

In Part 1, I explained my hopes that classical statistical mechanics reduces to thermodynamics in the limit where Boltzmann’s constant k k approaches zero. In Part 2, I explained exactly what I mean ...

Why do I care? As we’ll see later, classical statistical mechanics features a crucial formula that involves a Laplace transform. So it would be great if we could find some parameter β \beta in that ...

I’m trying to work out how classical statistical mechanics can reduce to thermodynamics in a certain limit. I sketched out the game plan in Part 1 but there are a lot of details to hammer out. While I ...

organized by Zoran Škoda and Igor Baković.

This is the homepage for the UT Geometry and Quantum Field Theory Seminar. At the organizational meeting we will flesh out the details of our plans for the semester. Below are some suggestions to get ...

Sep 12, 2024 16:26 “[Inversion problem, Legendre transform and inviscid Burgers’ equations][1]” by Wenhua Zhao relates compositional inversion to the Legendre transform. See the ... Sep 10, 2024 03:32 ...