Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
polynomials
|
| gptkbp:describes |
expansion of powers of sums
|
| gptkbp:field |
gptkb:algebra
gptkb:mathematics |
| gptkbp:firstPublished |
17th century
|
| gptkbp:form |
(x_1 + x_2 + ... + x_m)^n = sum_{k_1+...+k_m=n} (n!/(k_1!...k_m!)) x_1^{k_1}...x_m^{k_m}
|
| gptkbp:generalizes |
gptkb:binomial_theorem
|
| gptkbp:hasComponent |
multinomial coefficients
|
| gptkbp:introduced |
gptkb:Isaac_Newton
|
| gptkbp:relatedTo |
gptkb:binomial_theorem
gptkb:Newton's_identities multinomial coefficient |
| gptkbp:usedIn |
gptkb:combinatorics
gptkb:probability_theory statistics |
| gptkbp:bfsParent |
gptkb:Binomial_theorem
|
| gptkbp:bfsLayer |
8
|
| https://www.w3.org/2000/01/rdf-schema#label |
Multinomial theorem
|