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peterbloem.nl | ||
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thenumb.at
[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. |
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ianwrightsite.wordpress.com
Riemann's Zeta function is an infinite sublation of Hegelian integers. |
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nicf.net
A blog about math by Nic Ford |
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wildtopology.com
Let $latex D_n\subseteq\mathbb{R}^2$ be the disk of radius $latex 1/n$ centered at $latex (1/n,0)$ with basepoint $latex b_0=(0,0)$. Let $latex C_n=\partial D_n$ so that $latex \mathbb{E}=\bigcup_{n\in\mathbb{N}}C_{n}$ is the usual infinite earring. Let $latex E_n$ be a closed disk contained in the open set $latex D_n\backslash D_{n+1}$. Embed $latex D$ in the xy-plane of $latex \mathbb{R}^3$.... |
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