Proof step
Geometric basis map (elementary)
Image under a basis map u^k -> P_k A013609
- Concludes
- basis_map_A013609 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-10c4ba0bb6f05334· 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-256735baa08d942fd785fb6455d102c9d9572a6fb3fefab7a9c43c1264fab5715ad, 12,660 bytes (2,497 compressed); downloadpolytool replayed the certificate when the step was written.- Cited by
n-9418caaca51598b1(one_signed_coefficients)n-9418caaca51598b1(hadamard_kernel)n-9418caaca51598b1(real_rooted)