binomial theorem

Noun

Meaning

a theorem giving the expansion of a binomial raised to a given power

Source: WordNet

Synonyms

theorem Cayley's formula permutation group partition function combinatorial reciprocity eulerian numbers inclusion-exclusion principle lucas numbers pascal's identity vandermonde's identity bell numbers bernoulli numbers catalan numbers combinatorial proof generating functions
Show all synonyms

Hypernyms

theorem

Examples

Generalisations Newton's generalised binomial theorem main Around 1665, Isaac Newton generalised the binomial theorem to allow real exponents other than nonnegative integers. Source: Internet

The binomial theorem also holds for two commuting elements of a Banach algebra. Source: Internet

History Special cases of the binomial theorem were known from ancient times. Source: Internet

Inductive proof Induction yields another proof of the binomial theorem. Source: Internet

Isaac Newton is generally credited with the generalised binomial theorem, valid for any rational exponent. Source: Internet

It is not difficult to turn this argument into a proof (by mathematical induction ) of the binomial theorem. Source: Internet

Close letter words and terms

binomial random variable binomial series binomial test binomialism binomialist binomiality