Proof step
Geometric basis map (elementary)
Image under a basis map u^k -> P_k A013610
- Concludes
- basis_map_A013610 of one_plus_derivative of Infinitesimal Pascal matrix: generator (lower triangular matrix representation) of the Pascal matrix, the classical…
- Premises
- one_plus_derivative of Infinitesimal Pascal matrix: generator (lower triangular matrix representation) of the Pascal matrix, the classical …
sequence: Every row P_n, n >= 0, is zero or real-rooted with all roots in (-inf, 0]
- one_plus_derivative of Infinitesimal Pascal matrix: generator (lower triangular matrix representation) of the Pascal matrix, the classical …
- Theorem
- polytool ?
- Checked
- polytool replayed · Lean not attempted
Technical details
- Step id
e-a286ce72103530f1· JSON- Operation
- Image under a basis map u^k -> P_k
{ "map": "A013610", "operation": "basis_map" } - Claims
{ "claim": "real_rooted", "from_index": 0, "region": { "upper": { "closed": true, "value": "0" } } }- Certificate
basis_map, SHA-256abf7818adfcf7faeb207ad8cbdff3155586f49def93149f2fdc92b7f5d5653b4, 13,372 bytes (2,569 compressed); downloadpolytool replayed the certificate when the step was written.- Cited by
n-67341a17682d5c26(real_rooted)n-67341a17682d5c26(one_signed_coefficients)n-67341a17682d5c26(hadamard_kernel)