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 stirling numbers vandermonde's identity factorial duality bell numbers bernoulli numbers catalan numbers combinatorial reciprocity eulerian numbers generating functions inclusion-exclusion principle pascal's identity

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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