Proof step
Geometric basis map (elementary)
Image under a basis map u^k -> P_k A013609
- Concludes
- basis_map_A013609 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-ac0ca91da3703f90· 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-2568001468398a2dc204c1c0a98a568f5dd48a358f3e3f02c2545153c6945003265, 11,767 bytes (2,142 compressed); downloadpolytool replayed the certificate when the step was written.- Cited by
n-0936e707d9d749c8(one_signed_coefficients)n-0936e707d9d749c8(hadamard_kernel)n-0936e707d9d749c8(real_rooted)