Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
determinant |
| gptkbp:application |
polynomial interpolation
discriminant of a polynomial theory of symmetric functions |
| gptkbp:category |
matrices
determinants algebraic identities |
| gptkbp:field |
gptkb:algebra
linear algebra |
| gptkbp:form |
det(V) = ∏_{1 ≤ i < j ≤ n} (x_j - x_i)
|
| https://www.w3.org/2000/01/rdf-schema#label |
Vandermonde determinant
|
| gptkbp:matrixRepresentation |
V = [[1, x_1, x_1^2, ..., x_1^{n-1}], ..., [1, x_n, x_n^2, ..., x_n^{n-1}]]
|
| gptkbp:namedAfter |
gptkb:Alexandre-Théophile_Vandermonde
|
| gptkbp:property |
zero if and only if two x_i are equal
|
| gptkbp:relatedTo |
gptkb:Vandermonde_matrix
|
| gptkbp:bfsParent |
gptkb:Dyson's_constant_term_identity
|
| gptkbp:bfsLayer |
6
|