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#algebra

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Humans are #NotThatSmart with a multitude of #laws for how we *think* #reality works, that we then selectively pick and choose ("#CafeteriaPhysics") when it suits us (#physics' GR/SM).

Adding to our ignorant hubris, we proclaim that #math is the language of the #cosmos + the #universe is constant and immutable! Yet we fail #algebra: the same variable **is the same value** in a system of equations:

E = mc^2
E = hf
Therefore, mc^2 = E = hf (basic algebra, transitive and commutative properties)

#softwareEngineering #programming #commonLisp #assertions #algebra - tight, efficient #lazyEvaluation vector multiplication with #series .
screwlisp.small-web.org/progra

I use assert in lisp, which automatically generates an interactive in-context failure resolution which I utilize in the article, where the lazy cotruncation series feature was not wanted. Shows off a #lisp useage: classic.

@vnikolov what do you think of this example of assert viz your assertables?
+ @kentpitman

This textbook covers key topics in abstract #algebra, including groups, rings, modules, and fields, as well as the linear representations of finite groups, Hopf algebras, Lie algebras, and category theory. It offers essential algebraic foundations for graduate students in mathematics and physics, and is enriched with numerous examples to facilitate understanding. It is intended for readers with a background in linear algebra.
More info : buff.ly/lQv2Cqz