Views
3 years ago

# A Little Challenge Problem for Real Number Theorem ... - Lemma 1!

A Little Challenge Problem for Real Number Theorem ... - Lemma 1!

## A

A Little Challenge Problem for Real Number Theorem Proving 4 ✬ Encoding sin in a bounded concave γ. II ✩ Answer: yes! Here are γ, γ ′ and γ ′′ for K = M = 1: 2 1 gamma0(x) Dgamma(x) DDgamma(x) 0 −1 −2 −3 −4 −5 −6 −7 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 ✫ Can you prove γ ′′ < 0? ✪

A Little Challenge Problem for Real Number Theorem Proving 5 ✬ Encoding sin in a bounded concave γ. III ✩ Answer: ah! well, I can prove it for K = 2 and M ≥ 9: 3 2 gamma0(x) Dgamma(x) DDgamma(x) 1 0 −1 −2 −3 −4 −5 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 ✫ Challenge: is there any automation to help out there? ✪

Library Theorems (DRAFT) - Lemma 1!
The Mutilated Chessboard Theorem in Z - Lemma 1!
Theorems on Finiteness (Draft) - Lemma 1!
CASSELS' LEMMA Theorem 1. (Cassels' Lemma) Let K be a ...
Mechanized Reasoning for Continuous Problem Domains - Lemma 1!
Proof of the q-binomial Theorem Lemma 1: By definition ... - MavDISK
The Prime Number Theorem and Landau's Extremal Problems
Definition 1 Let x be a real number. A neighborhood of x is a set N ...