Proof step
Geometric basis map (elementary)
Image under a basis map u^k -> P_k A013611
- Concludes
- basis_map_A013611 of shift_x_plus_one of basis-map coefficients of Square array of binomial coefficients T(n,k) = binomial(n,k), n >= 0, k >= 0, read by downwa…
- Premises
- shift_x_plus_one of basis-map coefficients of Square array of binomial coefficients T(n,k) = binomial(n,k), n >= 0, k >= 0, read by downwar…
sequence: Every row P_n, n >= 1, is zero or real-rooted with all roots in (-inf, 0]
- shift_x_plus_one of basis-map coefficients of Square array of binomial coefficients T(n,k) = binomial(n,k), n >= 0, k >= 0, read by downwar…
- Theorem
- polytool ?
- Checked
- polytool replayed · Lean not attempted
Technical details
- Step id
e-d77cbc7443516c7d· JSON- Operation
- Image under a basis map u^k -> P_k
{ "map": "A013611", "operation": "basis_map" } - Claims
{ "claim": "real_rooted", "from_index": 1, "region": { "upper": { "closed": true, "value": "0" } } }- Certificate
basis_map, SHA-2567fa61eee14b7213bb637a3be9719e7828251976d717f29445a68b75927b962fd, 6,865 bytes (1,393 compressed); downloadpolytool replayed the certificate when the step was written.- Cited by
n-e7fd062b528404dc(real_rooted)n-e7fd062b528404dc(one_signed_coefficients)n-e7fd062b528404dc(hadamard_kernel)