Proof step
Affine, reversal and Möbius substitutions (elementary)
Image under a real-rootedness preserver reversal, shift 0
- Concludes
- reversal of Interpolating the factorial and the powers of 2. Triangle read by rows, T(n, k) for 0 <= k <= n.
- Premises
- Interpolating the factorial and the powers of 2. Triangle read by rows, T(n, k) for 0 <= k <= n.
sequence: Every row P_n, n >= 0, is zero or real-rooted with all roots in (-inf, 0]
- Interpolating the factorial and the powers of 2. Triangle read by rows, T(n, k) for 0 <= k <= n.
- 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-b4e12c73f4b83d23· 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\":1}}" } - Claims
{ "claim": "real_rooted", "from_index": 0, "region": { "upper": { "closed": true, "value": "0" } } }- Certificate
preserver_image, SHA-25660fd2fa3fe509c9fed5c50239f4a04621b8eb2e098ae80eebaadeeba9e721780, 9,651 bytes (2,607 compressed); downloadpolytool replayed the certificate when the step was written.- Cited by
n-aa53854e96f59b0e(real_rooted)n-aa53854e96f59b0e(one_signed_coefficients)n-aa53854e96f59b0e(hadamard_kernel)