Proof step
Geometric basis map (elementary)
Image under a basis map u^k -> P_k A013610
- Concludes
- basis_map_A013610 of theta_plus_one_squared of Infinite lower triangular matrix with 2^k in the right diagonal and the rest zeros. Triangle, T(n,k), n zeros fo…
- Premises
- theta_plus_one_squared of Infinite lower triangular matrix with 2^k in the right diagonal and the rest zeros. Triangle, T(n,k), n zeros fol…
sequence: Every row P_n, n >= 0, is zero or real-rooted with all roots in (-inf, 0]
- theta_plus_one_squared of Infinite lower triangular matrix with 2^k in the right diagonal and the rest zeros. Triangle, T(n,k), n zeros fol…
- Theorem
- polytool ?
- Checked
- polytool replayed · Lean not attempted
Technical details
- Step id
e-a2313b7b8fb642bd· 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" } } }{ "claim": "interlacing", "from_index": 1, "kind": "weak", "orientation": "unordered" }- Certificate
basis_map, SHA-2563b3516a80ea8d04d7d089418e0fd5d4df49c8852fc7b51a4f390ff1a7e0200c3, 14,880 bytes (2,775 compressed); downloadpolytool replayed the certificate when the step was written.- Cited by
n-11c42159a8aefb5d(real_rooted)n-11c42159a8aefb5d(one_signed_coefficients)n-11c42159a8aefb5d(hadamard_kernel)n-11c42159a8aefb5d(interlacing)