Proof step
Geometric basis map (elementary)
Image under a basis map u^k -> P_k A013609
- Concludes
- basis_map_A013609 of derivative of Infinitesimal Pascal matrix: generator (lower triangular matrix representation) of the Pascal matrix, the classical operator…
- Premises
- derivative of Infinitesimal Pascal matrix: generator (lower triangular matrix representation) of the Pascal matrix, the classical operator …
sequence: Every row P_n, n >= 0, is zero or real-rooted with all roots in (-inf, 0]
- derivative of Infinitesimal Pascal matrix: generator (lower triangular matrix representation) of the Pascal matrix, the classical operator …
- Theorem
- polytool ?
- Checked
- polytool replayed · Lean not attempted
Technical details
- Step id
e-ec86f423e6dc286e· JSON- Operation
- Image under a basis map u^k -> P_k
{ "map": "A013609", "operation": "basis_map" } - Claims
{ "claim": "real_rooted", "from_index": 0, "region": { "upper": { "closed": true, "value": "0" } } }- Certificate
basis_map, SHA-25673a3e06f9abb37d78d4f06299ce57c9eb0c0a0ce4abf449a0a046033a6cc9480, 13,518 bytes (2,623 compressed); downloadpolytool replayed the certificate when the step was written.- Cited by
n-8a855024e6ba6660(real_rooted)n-8a855024e6ba6660(one_signed_coefficients)n-8a855024e6ba6660(hadamard_kernel)