Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
Non-negative integer exponents
Real or complex numbers |
| gptkbp:describes |
Expansion of powers of a binomial
|
| gptkbp:field |
gptkb:algebra
|
| gptkbp:form |
(a + b)^n = Σ_{k=0}^n (n choose k) a^{n-k} b^k
|
| gptkbp:generalizes |
gptkb:Multinomial_theorem
|
| gptkbp:hasApplication |
Computer science
Statistics Mathematical proofs Algebraic identities Polynomial expansion Series expansion |
| https://www.w3.org/2000/01/rdf-schema#label |
Binomial theorem
|
| gptkbp:introduced |
gptkb:Isaac_Newton
|
| gptkbp:relatedTo |
gptkb:Pascal's_triangle
|
| gptkbp:usedIn |
gptkb:Calculus
gptkb:Number_theory gptkb:Probability_theory Combinatorics |
| gptkbp:uses |
Binomial coefficients
|
| gptkbp:bfsParent |
gptkb:Abel's_binomial_theorem
|
| gptkbp:bfsLayer |
6
|