Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
expressions of the form (a + b)^n
|
| gptkbp:attributedTo |
gptkb:Blaise_Pascal
gptkb:Isaac_Newton gptkb:Omar_Khayyam |
| gptkbp:describes |
algebraic expansion of powers of a binomial
|
| gptkbp:firstDescribed |
gptkb:ancient_China
ancient India |
| gptkbp:form |
(a + b)^n = Σ_{k=0}^n (n choose k) a^{n-k} b^k
|
| gptkbp:generalizes |
gptkb:multinomial_theorem
|
| gptkbp:hasApplication |
gptkb:probability_theory
calculus number theory combinatorics |
| https://www.w3.org/2000/01/rdf-schema#label |
binomial theorem
|
| gptkbp:involves |
binomial coefficients
|
| gptkbp:partOf |
elementary algebra
|
| gptkbp:relatedTo |
gptkb:Pascal's_triangle
|
| gptkbp:state |
(a + b)^n = Σ_{k=0}^n (n choose k) a^{n-k} b^k
|
| gptkbp:usedFor |
expanding binomial expressions
finding coefficients in binomial expansions |
| gptkbp:bfsParent |
gptkb:Isaac_Newton
|
| gptkbp:bfsLayer |
4
|