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 jasmcole.com
Swing and a miss - Almost looks like work
| | francisbach.com
Unraveling spectral properties of kernel matrices - I - Machine Learning Research Blog
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| | [AI summary] The blog post discusses the spectral properties of kernel matrices, focusing on the analysis of eigenvalues and their estimation using tools like the matrix Bernstein inequality. It also covers the estimation of the number of integer vectors with a given L1 norm and the relationship between these counts and combinatorial structures. The post includes a detailed derivation of bounds for the difference between true and estimated eigenvalues, highlighting the role of the degrees of freedom and the impact of regularization in kernel methods. Additionally, it touches on the importance of spectral analysis in machine learning and its applications in various domains.
| | thonyc.wordpress.com
From ???????? (ta physika) to physics - XXVI | The Renaissance Mathematicus
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| | In this series we have seen that various scholars over the centuries have questioned, challenged and even rejected Aristotle's theories of free fall and projectile motion. Just as Tartaglia extended the challenges tohis theory of projectile motion with his work on ballistics other scholars took up the challenge to his law of fall in the...
| | 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.
| | isthatinthebible.wordpress.com
Melchizedek: How a Literary Phantom Became an Eternal Priest and Savior of Israel - Is That in the Bible?
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| Note: This article is based on updated research and is intended to replace my old article on Melchizedek, written several years ago. It has also been produced as a documentary at the MythVision YouTube channel. Melchizedek. You've probably heard that name before, but many Christians would be hard-pressed to tell you who he was or...