saw the film in the Grand, dined in Element.
dined at Tao Heung almost every meal in the past week >.< Thursday Jul 7 Happy dinner @住家菜 with Suichung & Yanting. We then went to McD and chatted until 12mn. Friday Jul 8 Japanese buffet in Central. deli ^.^ Hong Kong Sinfonietta @City Hall Martina Filjak Plays Rachmaninov piano concerto no. 2 The conductor was good. She played so well but I didn't find the fluency in the music. The brass & woodwind instruments were not very well. Saturday Jul 9
Misocool in TST again! Liszt night @City Hll Everything was great, esp. Rachel Cheung's six grandes etudes. Bravo! Sunday Jul 10 辛辣人妻 -- a good theatre Monday Jul 11 Back to work -- EAS started! No swimming for sooooo many days >.< We had a nice farewell buffet with Sheng tonight. I raised the question on logic, which was related to distribution and measure and got interesting answers!
六月三十日,稻香開了。
七月一日,放假,稻香超多人。我帶左本abstract algebra去睇。 重新再讀abstract algebra,次序是ring、 field、group,呢個序好合理,因為ring係成日都見、成日都有嘅野。 由arithmetic開始,讀primes、unique factorization同euclidean algorithm。因為有除數,之後讀classes、mod同congruences。好了,以Z為基礎,進入ring,commutative ring同ring with identity,仲有solve quadratic equations成日出現的integral domain (即係無zero divisor) ,最後係field。不過Z已經唔係field,因為無乘的inverse。 subring -- 減同乘兩個operations都係closed就得,唔使check所有axioms,好聰明。 跟著是isomorphism同homomorphism,最難係找出兩個話可能係isomorphic的東西之間的function,再證明佢係isomorphism。不過,這似乎是一貫的數學難題。 七月二日,讀到polymonial ring了。 一個polynomial,ax^n+...,如果a係一個ring的element,到底x係咩呢?點解佢地可以相乘?之後就引入polynomial ring R[x],即係R係R[x]的subring,而x就在R外面,但在R[x]中。 兩個polynomials的gcd同integers的gcd一樣,兩個polynomials都可以用euclidean algorithm找gcd,咩係irredicible呢?就係analogous to integers中的primes了。讀得好開心 ^.^ 我的目標,係睇到點解五次方程無general solution,即係galois theory。 |