Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
combinatorics
polynomials |
| gptkbp:describes |
expansion of powers of sums
|
| gptkbp:field |
gptkb:algebra
gptkb:mathematics |
| gptkbp:form |
(x1 + x2 + ... + xm)^n = sum_{k1+...+km=n} (n!/(k1!...km!)) x1^k1 ... xm^km
|
| gptkbp:generalizes |
gptkb:binomial_theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
multinomial theorem
|
| gptkbp:introduced |
gptkb:Isaac_Newton
|
| gptkbp:involves |
multinomial coefficients
|
| gptkbp:relatedTo |
gptkb:Pascal's_triangle
binomial coefficients multinomial distribution |
| gptkbp:usedIn |
gptkb:probability_theory
statistics enumerative combinatorics |
| gptkbp:bfsParent |
gptkb:binomial_theorem
|
| gptkbp:bfsLayer |
5
|