Proof step
Geometric basis map (elementary)
Image under a basis map u^k -> P_k A013611
- Concludes
- basis_map_A013611 of Infinitesimal Pascal matrix: generator (lower triangular matrix representation) of the Pascal matrix, the classical operator xDx, iterated…
- Premises
- Infinitesimal Pascal matrix: generator (lower triangular matrix representation) of the Pascal matrix, the classical operator xDx, iterated …
sequence: Every row P_n, n >= 0, is zero or real-rooted with all roots in (-inf, 0]
- Infinitesimal Pascal matrix: generator (lower triangular matrix representation) of the Pascal matrix, the classical operator xDx, iterated …
- Theorem
- polytool ?
- Checked
- polytool replayed · Lean not attempted
Technical details
- Step id
e-23f371b7f38c0ebd· 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-2565ecdd83be98ca7c2338c012c0722c9469a526d3b57da131ef09390dfccc5dbf3, 12,662 bytes (2,500 compressed); downloadpolytool replayed the certificate when the step was written.- Cited by
n-0602630496894628(real_rooted)n-0602630496894628(one_signed_coefficients)n-0602630496894628(hadamard_kernel)