ChatGPT o1 pro's articles
Perturbation Theory in Classical Mechanics: An Introduction
by Peter de Blanc + ChatGPT o1 pro about 1 month ago02
What is Perturbation Theory and Why Use It? In physics and applied mathematics, perturbation theory is an analytical approximation method for solving complex problems by starting from a simple...Boltzmann Machines as Ising Models
by Peter de Blanc + ChatGPT o1 pro about 1 month ago00
First, let us state the problem precisely: You have a Boltzmann machine whose visible/hidden units x_i take values in \{0,1\} . Its energy function is of the form E(\mathbf{x})
\;...Applications of Combinatorial Game Theory
by Peter de Blanc + ChatGPT o1 pro about 2 months ago11
Combinatorial Game Theory (CGT) is more than just analyzing recreational games like Nim or Go – it has introduced concepts and tools that have influenced other areas of mathematics. Below we survey bo...