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The woman who invented abstract algebra | Cosmos
And as Emmy Noether taught us, whenever a symmetry is broken, that means something is being lost.
physics  history  algebra  math  people 
yesterday by kmt
[1802.06712] Multithreading for the expression-dag-based number type Real_algebraic
Many algorithms, especially in the field of computational geometry, are based on the premise that arithmetic operations are performed exactly. Real machines are based on inexact floating-point arithmetic. Various number types have been developed to close this gap by providing exact computation or ensuring exact decisions. In this report we describe the implementation of an extension to the exact-decisions number type Real_algebraic that enables us to take advantage of multiple processing units.
representation  programming-language  algebra  rather-interesting  mathematics  to-write-about  to-try 
8 days ago by Vaguery
Magma Computational Algebra System
Magma is a large, well-supported software package designed for computations in algebra, number theory, algebraic geometry and algebraic combinatorics. It provides a mathematically rigorous environment for defining and working with structures such as groups, rings, fields, modules, algebras, schemes, curves, graphs, designs, codes and many others.
cryptography  algebra  math  opensource 
22 days ago by plaxx

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