Proof step
Geometric basis map (elementary)
Image under a basis map u^k -> P_k A007318
- Concludes
- shift_x_plus_one of basis_map_A013611 of basis-map coefficients of Irregular triangle read by rows formed by taking every other row of the Delannoy array (A008…
- Premises
- basis_map_A013611 of basis-map coefficients of Irregular triangle read by rows formed by taking every other row of the Delannoy array (A008…
sequence: Every row P_n, n >= 0, is zero or real-rooted with all roots in (-inf, 0]
- basis_map_A013611 of basis-map coefficients of Irregular triangle read by rows formed by taking every other row of the Delannoy array (A008…
- Theorem
- polytool ?
- Checked
- polytool replayed · Lean not attempted
Technical details
- Step id
e-d0e0af4a7ff32fcf· JSON- Operation
- Image under a basis map u^k -> P_k
{ "map": "A007318", "operation": "basis_map" } - Claims
{ "claim": "real_rooted", "from_index": 0, "region": { "upper": { "closed": true, "value": "0" } } }- Certificate
basis_map, SHA-2564c77d8a377fe854fa98913deb6b7cf8aa0f9e72063432cbcdb8bfc5d6eb535f0, 6,884 bytes (1,394 compressed); downloadpolytool replayed the certificate when the step was written.- Cited by
n-47a6042357a612c5(one_signed_coefficients)n-47a6042357a612c5(hadamard_kernel)n-47a6042357a612c5(real_rooted)