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 basis-map coefficients of Square array of binomial coefficients T(n,k) = binomial(n,k), n >= 0, k >= 0, read by downw…
- Premises
- basis_map_A013609 of basis-map coefficients of Square array of binomial coefficients T(n,k) = binomial(n,k), n >= 0, k >= 0, read by downwa…
sequence: Every row P_n, n >= 1, is zero or real-rooted with all roots in (-inf, 0]
- basis_map_A013609 of basis-map coefficients of Square array of binomial coefficients T(n,k) = binomial(n,k), n >= 0, k >= 0, read by downwa…
- Theorem
- polytool ?
- Checked
- polytool replayed · Lean not attempted
Technical details
- Step id
e-452fa9af2d8d8f66· JSON- Operation
- Image under a basis map u^k -> P_k
{ "map": "A013609", "operation": "basis_map" } - Claims
{ "claim": "real_rooted", "from_index": 1, "region": { "upper": { "closed": true, "value": "0" } } }- Certificate
basis_map, SHA-256a2324b16a86e406bd759a74d3f68985d377abf1264fadbdaa297d4c6750d5a30, 6,855 bytes (1,388 compressed); downloadpolytool replayed the certificate when the step was written.- Cited by
n-7b019d2b851f98f1(real_rooted)n-7b019d2b851f98f1(one_signed_coefficients)n-7b019d2b851f98f1(hadamard_kernel)