Proof step
Geometric basis map (elementary)
Image under a basis map u^k -> P_k A013610
- Concludes
- basis_map_A013610 of basis_map_A013611 of A convolution triangle of numbers based on A001906 (even-indexed Fibonacci numbers).
- Premises
- basis_map_A013611 of A convolution triangle of numbers based on A001906 (even-indexed Fibonacci numbers).
sequence: Every row P_n, n >= 0, is zero or real-rooted with all roots in (-inf, 0]
- basis_map_A013611 of A convolution triangle of numbers based on A001906 (even-indexed Fibonacci numbers).
- Theorem
- polytool ?
- Checked
- polytool replayed · Lean not attempted
Technical details
- Step id
e-072fa182b80a6a61· 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-2566538c105e8e31f6057f000e4ecb8d96c665b1ac3670d8b88d553c0ccbc65bf6a, 13,484 bytes (2,558 compressed); downloadpolytool replayed the certificate when the step was written.- Cited by
n-2021a97cf14f0663(real_rooted)n-2021a97cf14f0663(one_signed_coefficients)n-2021a97cf14f0663(hadamard_kernel)n-2021a97cf14f0663(interlacing)