Hacker News with Generative AI: Algebra

Mathematician solves algebra's oldest problem using intriguing number sequences (unsw.edu.au)
A UNSW mathematician has discovered a new method to tackle algebra’s oldest challenge – solving higher polynomial equations.
Mathematics, Algebra, Number Theory, Research
11 points by willmartian 6 days ago | 6 comments
The Algebra of Patterns (Extended Version) (arxiv.org)
Pattern matching is a popular feature in functional, imperative and object-oriented programming languages.
Programming Languages, Pattern Matching, Algebra
25 points by matt_d 21 days ago | 2 comments
Mathematician solves algebra's oldest problem using intriguing number sequences (phys.org)
A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations.
Mathematics, Algebra, Number Theory
53 points by amichail 21 days ago | 51 comments
Mathematician solves algebra's oldest problem using new number sequences (phys.org)
A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations.
Mathematics, Algebra, Number Theory, Research
8 points by pseudolus 21 days ago | 0 comments
Abel Prize Awarded to Japanese Mathematician Who Abstracted Abstractions (nytimes.com)
Masaki Kashiwara, a Japanese mathematician, received this year’s Abel Prize, which aspires to be the equivalent of the Nobel Prize in math. Dr. Kashiwara’s highly abstract work combined algebra, geometry and differential equations in surprising ways.
Mathematics, Awards, Japan, Algebra, Geometry
12 points by donohoe 58 days ago | 0 comments
The exceptional Jordan algebra (2020) (hatsya.com)
In the early 1930s, Pascual Jordan attempted to formalise the algebraic properties of Hermitian matrices.
Mathematics, Algebra, History
108 points by gone35 67 days ago | 15 comments
Quaternions and spherical trigonometry (wordpress.com)
Hamilton’s quaternion number system is a non-commutative extension of the complex numbers, consisting of numbers of the form where are real numbers, and are anti-commuting square roots of with , , . While they are non-commutative, they do keep many other properties of the complex numbers:
Mathematics, Algebra, Number Theory, Geometry
124 points by t55 113 days ago | 48 comments
Galois Theory (ph.utexas.edu)
Mathematics, Algebra, Education
467 points by mathgenius 281 days ago | 234 comments
The algebra and calculus of algebraic data types (2015) (recurse.com)
Algebra, Calculus, Data Types
128 points by thunderbong 303 days ago | 45 comments
Grothendieck’s use of equality (arxiv.org)
Mathematics, Algebra, Proofs
178 points by golol 368 days ago | 129 comments