Proof step
Geometric basis map (elementary)
Image under a basis map u^k -> P_k A013609
- Concludes
- basis_map_A013609 of basis_map_A013609 of Triangle read by rows: triangle of repeated stepped binomial coefficients.
- Premises
- basis_map_A013609 of Triangle read by rows: triangle of repeated stepped binomial coefficients.
sequence: Every row P_n, n >= 0, is zero or real-rooted with all roots in (-inf, 0]
- basis_map_A013609 of Triangle read by rows: triangle of repeated stepped binomial coefficients.
- Theorem
- polytool ?
- Checked
- polytool replayed · Lean not attempted
Technical details
- Step id
e-1c2a2704f938fd35· 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-256f0c9d3bf6f5572bc25516f03e2817e34e0c4c2f9bbe1a9dbe988d56b6d11c303, 6,931 bytes (1,415 compressed); downloadpolytool replayed the certificate when the step was written.- Cited by
n-20d13d43b8d2496f(real_rooted)n-20d13d43b8d2496f(one_signed_coefficients)n-20d13d43b8d2496f(hadamard_kernel)