Proof step
Affine, reversal and Möbius substitutions (elementary)
Image under a real-rootedness preserver reversal, shift 0
- Concludes
- reversal of basis_map_A008277 of basis-map coefficients of Irregular triangle read by rows formed by taking every other row of the Delannoy array (A008288) reg…
- Premises
- basis_map_A008277 of basis-map coefficients of Irregular triangle read by rows formed by taking every other row of the Delannoy array (A008…
sequence: Every row P_n, n >= 0, is zero or real-rooted with all roots in (-inf, 0]
- basis_map_A008277 of basis-map coefficients of Irregular triangle read by rows formed by taking every other row of the Delannoy array (A008…
- Theorem
- polytool ?
- Lean
- RealRooted
route
reversedRealRooted.X_pow_mul_reverse_eq_zero_or_splits,RealRooted.reflect_eq_zero_or_splits - Checked
- polytool replayed · Lean not attempted
Technical details
- Step id
e-44293a9d609f948d· JSON- Operation
- Image under a real-rootedness preserver
{ "index_shift": 0, "operation": "preserver_image", "operator": "{\"shape\":\"reversal\",\"schedule\":{\"first_index\":0,\"first_degree\":0,\"step\":2}}" } - Claims
{ "claim": "real_rooted", "from_index": 0, "region": { "upper": { "closed": true, "value": "0" } } }- Certificate
preserver_image, SHA-256a9e8016174f512737b42c87a89ec7db426ae27b62272db0830ca97111c8c74df, 7,517 bytes (2,050 compressed); downloadpolytool replayed the certificate when the step was written.- Cited by
n-cc5ac69d87f94be7(real_rooted)n-cc5ac69d87f94be7(one_signed_coefficients)n-cc5ac69d87f94be7(hadamard_kernel)