Search results
Results from the WOW.Com Content Network
In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial.According to the theorem, the power (+) expands into a polynomial with terms of the form , where the exponents and are nonnegative integers satisfying + = and the coefficient of each term is a specific positive integer ...
Download as PDF; Printable version ... Multisection of a binomial expansion ... at x = 1 gives the following identity for the sum of binomial coefficients with ...
In mathematics, the Bernoulli polynomials, named after Jacob Bernoulli, combine the Bernoulli numbers and binomial coefficients. They are used for series expansion of functions, and with the Euler–MacLaurin formula. These polynomials occur in the study of many special functions and, in particular, the Riemann zeta function and the Hurwitz ...
Download as PDF; Printable version; In other projects ... (1891), "On the sum of the cubes of the coefficients in a certain expansion by the binomial theorem", ...
Pascal's pyramid is the three-dimensional analog of the two-dimensional Pascal's triangle, which contains the binomial numbers and relates to the binomial expansion and the binomial distribution. The binomial and trinomial numbers, coefficients, expansions, and distributions are subsets of the multinomial constructs with the same names.
Download as PDF; Printable version; ... for each term in the expansion, ... then the multinomial coefficients naturally arise from the binomial coefficients.
Download QR code; Print/export Download as PDF; Printable version; In other projects ... is a mathematical identity involving sums of binomial coefficients. It states ...
Binomial expansion. Add languages. Add links. Article; Talk; ... Download QR code; Print/export Download as PDF; Printable version; In other projects