Proof step
Geometric basis map (elementary)
Image under a basis map u^k -> P_k A013611
- Concludes
- basis_map_A013611 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-53401cb7af1f1125· JSON- Operation
- Image under a basis map u^k -> P_k
{ "map": "A013611", "operation": "basis_map" } - Claims
{ "claim": "real_rooted", "from_index": 0, "region": { "upper": { "closed": true, "value": "0" } } }- Certificate
basis_map, SHA-2568a9fe9aeb2327834487d245bce932ad569a3f5151eabffbb9408f7f4cee35fb3, 13,376 bytes (2,568 compressed); downloadpolytool replayed the certificate when the step was written.- Cited by
n-8ea4f8a23684cfb4(real_rooted)n-8ea4f8a23684cfb4(one_signed_coefficients)n-8ea4f8a23684cfb4(hadamard_kernel)