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 jdh.hamkins.org
Lectures on the Philosophy of Mathematics, Oxford, Michaelmas 2018 | Joel David Hamkins
| | mycqstate.wordpress.com
What it is that we do | MyCQstate
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| | This post is a follow-up on some somewhat off-hand comments that I made earlier regarding the notion of truth in a "proof-based" discipline such as pure mathematics or theoretical computer science. Since the former is easier to circumscribe and also has a larger literature available on it, for the purposes of the post I will...
| | kpknudson.com
Episode 70 - Joel David Hamkins Kevin Knudson
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| | www.thebigquestions.com
The Generalist at Steven Landsburg | The Big Questions: Tackling the Problems of Philosophy with Ideas from Mathematics, Economics, and Physics
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| | thenumb.at
Functions are Vectors
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| [AI summary] This text provides an in-depth exploration of how functions can be treated as vectors, particularly in the context of signal and geometry processing. It discusses the representation of functions as infinite-dimensional vectors, the use of Fourier transforms in various domains (such as 1D, spherical, and mesh-based), and the application of linear algebra to functions for tasks like compression and smoothing. The text also touches on the mathematical foundations of these concepts, including the Laplace operator, eigenfunctions, and orthonormal bases. It concludes with a list of further reading topics and acknowledges the contributions of reviewers.