Proof step
Geometric basis map (elementary)
Image under a basis map u^k -> P_k A013609
- Concludes
- basis_map_A013609 of one_plus_derivative of Infinitesimal Pascal matrix: generator (lower triangular matrix representation) of the Pascal matrix, the classical…
- Premises
- one_plus_derivative of Infinitesimal Pascal matrix: generator (lower triangular matrix representation) of the Pascal matrix, the classical …
sequence: Every row P_n, n >= 0, is zero or real-rooted with all roots in (-inf, 0]
- one_plus_derivative of Infinitesimal Pascal matrix: generator (lower triangular matrix representation) of the Pascal matrix, the classical …
- Theorem
- polytool ?
- Checked
- polytool replayed · Lean not attempted
Technical details
- Step id
e-5711be6e2cb5d80a· 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-256c3a7b4bffdd2008f98485530586f496c45571e6c03c5dc6ee7a21ab62f012b69, 13,370 bytes (2,564 compressed); downloadpolytool replayed the certificate when the step was written.- Cited by
n-d38ccd7c83577715(real_rooted)n-d38ccd7c83577715(one_signed_coefficients)n-d38ccd7c83577715(hadamard_kernel)