Top Ten Correlations between the Old School and Discrete Mathematics
- Gray codes of binary n-tuples are named after a physicist who published the idea in 1934, but were alluded to by Emile Baudot in 1878.
- Walsh functions, which approximate trigonometric functions, were discovered in 1923.
- N.G. de Bruijn discovered the cycle of 2^n digits in which every binary n-tuple occurs consecutively in the 1946 edition of Indagationes Mathematicae.
- Karnaugh maps for plotting n>2 bit binary output in two dimensions were devised in 1953.
- Algorithm to generate all lexicographic permutations of a sorted sequence {a1...an} dates back to Narayana Pandita in 14th-century India.
- The "Cambridge Forty-Eight" sequence of permutations of five bells has been used since the early 1600s.
- Cayley graphs plotting permutations with a set of generators were devised in 1878.
- The Sims table for representing groups of permutations was published in Computational Methods in Abstract Algebra in 1970. Every possible permutation of n elements can be represented uniquely as a product of Sims table elements.
- Evariste Galois put forth the notion of permutation groups in 1830. A set of permutations forms a group, if it is closed under multiplication.
- Simeon Denis-Poisson published the Poisson Distribution in 1838.