Proof step
Geometric basis map (elementary)
Image under a basis map u^k -> P_k A013610
- Concludes
- basis_map_A013610 of derivative of basis-map coefficients of Irregular triangle read by rows formed by taking every other row of the Delannoy array (A008288) r…
- Premises
- derivative of basis-map coefficients of Irregular triangle read by rows formed by taking every other row of the Delannoy array (A008288) re…
sequence: Every row P_n, n >= 0, is zero or real-rooted with all roots in (-inf, 0]
- derivative of basis-map coefficients of Irregular triangle read by rows formed by taking every other row of the Delannoy array (A008288) re…
- Theorem
- polytool ?
- Checked
- polytool replayed · Lean not attempted
Technical details
- Step id
e-1f2ee6b475c7f27d· JSON- Operation
- Image under a basis map u^k -> P_k
{ "map": "A013610", "operation": "basis_map" } - Claims
{ "claim": "real_rooted", "from_index": 0, "region": { "upper": { "closed": true, "value": "0" } } }- Certificate
basis_map, SHA-256ba70d0b5b01f5b9cf5e4b56d4f2d7a075ee1a6ae901adfa6dc4577d7fb1a2eeb, 11,767 bytes (2,144 compressed); downloadpolytool replayed the certificate when the step was written.- Cited by
n-01e54498c38d09e3(real_rooted)n-01e54498c38d09e3(one_signed_coefficients)n-01e54498c38d09e3(hadamard_kernel)