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mattbaker.blog | ||
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susam.net
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| | | | | [AI summary] The article explains the mathematical properties of fields, demonstrating that a field has only two ideals—{0} and the field itself—and that a commutative ring with only these ideals must be a field. | |
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nhigham.com
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| | | | | The Cayley-Hamilton Theorem says that a square matrix $LATEX A$ satisfies its characteristic equation, that is $latex p(A) = 0$ where $latex p(t) = \det(tI-A)$ is the characteristic polynomial. This statement is not simply the substitution ``$latex p(A) = \det(A - A) = 0$'', which is not valid since $latex t$ must remain a scalar... | |
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ncatlab.org
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limited.systems
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| | | An introduction to some powerful functional programming techniques in Raku and Python. | ||