MacMahon's master theorem, in enumerative combinatorics and linear algebra, is a result Percy MacMahon discovered and published in his 1916 monograph Combinatory Analysis. It has become a standard tool for deriving binomial identities, including Dixon's identity, and MacMahon himself called it a master theorem for how readily it resolved many otherwise difficult combinatorial questions; later mathematicians including I. J. Good and Leonard Carlitz gave new proofs, and further quantum and noncommutative generalizations followed. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
Facts
Classification
Statement Form Connections
Has Statement Form
Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.
Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.
In Branch
Source MacMahon's master theorem (Wikipedia)
Sources
1. MacMahon's master theorem (Wikipedia)
In Branch: Linear Algebra, Lead sentenceQuote, In Branch: Linear Algebra, Lead sentence
MMT) is a result in enumerative combinatorics and linear algebra.
Reader Challenges (0)
No disputes yet. Spotted an error or a better source? Open the first one.
Sign in to dispute this or suggest a correction.