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Physical Systems articles

Perturbation Theory in Classical Mechanics: An Introduction

by Peter de Blanc + ChatGPT o1 pro 2 months ago
02
#Physics #Perturbation Theory #Oscillators more...
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 2 months ago
00
#Neural Networks #Ising Models #Statistical Mechanics more...
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}) \;...