binomni poučak
Definicija: teorem prema kojemu za prirodni broj \(n\) i dvije komutirajuće varijable \(x, y\) vrijedi \( (x+y)^{n}=\sum_{k=0}^{n} \frac{n!} {k!(n-k)!}x^{k}y^{n-k}\)
Dopušteni nazivi: binomni teorem
Engleske istovrijednice: binomial theorem
Struna ID: 32589
Obrađivač: Magdalena Igaly
Faza obrade: zaključaj naziv
Vrsta riječi: imenica Rod: muški Broj: jednina
Cilj projekta "Hrvatsko nazivlje u matematici" je na jednom mjestu prikupiti i obraditi sve hrvatske nazive koji na izravan ili neizravan način imaju veze s matematikom. Ako želite na bilo koji način doprinijeti ostvarenju ciljeva ovog projekta, molim javite se voditelju projekta na adresu goran.igaly@math.hr
WMW naziv: binomial theorem
WMW klasifikacija: Calculus and Analysis > Series > General Series > Discrete Mathematics > Combinatorics > Binomial Coefficients > Recreational Mathematics > Mathematics in the Arts > Mathematics in Music > Interactive Entries > Interactive Demonstrations >
WMW definicija: There are several closely related results that are variously known as the binomial theorem depending on the source. The most general case of the binomial theorem is the binomial series identity \( (x+y)^{n}=\sum_{k=0}^{n} \binom{n}{k}x^{k}y^{n-k} \), where \( \binom{n}{k} \) is a binomial coefficient and \(n\) is a real number.
WMW See also: Abel's Binomial Theorem, Binomial, Binomial Coefficient, Binomial Identity, Binomial Series, Cauchy Binomial Theorem, Chu-Vandermonde Identity, Logarithmic Binomial Theorem, Negative Binomial Series, q-Binomial Theorem, Random Walk
Izvor: Weisstein, Eric W. "Binomial Theorem." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/BinomialTheorem.html
Struna ID: 32589