このレポートはIan Stewart ’GALOIS THEORY THIRD EDITION’ のChapter9 の解説である.ここでは正規拡大と分解体の概念を定義し,両者が同値であることを証明する.体はC の部分体のみを扱う. 始めにGalois の紹介をする. Galois は群論,Galois 理論の業績で不朽の名を残し...
Proof of Useful Propositions as to Stochastic Convergence Proposition(a)LetfYYng be a sequence of n 1 random vectors withYYn d ! Y.SupposefXXng is a sequence of n 1 random vectors such that(XXn YYn) p ! 0Then XXn converges in distribution toYY. Proof Denote th...
Aim ; Determine the relationship between mass, force and acceleration. F = m*a (net force = mass times the acceleration) 2. First, we did the experiment that we change “Force”. We do not change the “Mass”. Only change the “Force”. We decided to ta...