[數撚圍爐區] abc conjecture is still a conjecture (3)

5.4.4a部份係已經唔識做
用image of function on a compact set都係compact再用extreme value theorem去證明有M？M冇理由geometric series of (1/2)^n咁易啩？

睇幅圖第一個maximum好似喺二進制x=0.10101010...嗰度

Let m,n be two distinct numbers,
0 = 0
m x 0 = n x 0
m = n
which leads to contradiction.
By contradiction, m and n are the same.
Therefore, all numbers in this world are indeed the same.

你哋prefer 學咗basis 先定linear transformation 先

視乎你想係邊個位講representation

但係無basis點講rank nullity?

basis

linear transform R^n to R^m
-> basis
-> linear transform V to W