Saturday, March 26, 2011
烏籠...
今日上 math 323 tutorial, 而且今日功課 dead line, tutorial 完左照舊又係同人吹吹 topology d 野, 跟住發覺我將所有功課裏面有關喺 topological space $ (X,\mathcal{T})$ 上, collection of limit point of $ A$ 嘅 definition 寫左做 \[
x\in A' \iff \forall U\in N_x\triangleq \{V\in \mathcal{T}:x\in V\},( U-\{x\})\cap A\neq \emptyset.
\] 咁我呢 D 乖學生黎, 有錯梗係即改, 但改好哂之後就喺到諗, $ ( U-\{x\})\cap A$ 同 $ U\cap (A-\{x\})$ 好似冇分別喎......=.=.
x\in A' \iff \forall U\in N_x\triangleq \{V\in \mathcal{T}:x\in V\},( U-\{x\})\cap A\neq \emptyset.
\] 咁我呢 D 乖學生黎, 有錯梗係即改, 但改好哂之後就喺到諗, $ ( U-\{x\})\cap A$ 同 $ U\cap (A-\{x\})$ 好似冇分別喎......=.=.
Saturday, March 5, 2011
Differentiation under the integral sign
http://en.wikipedia.org/wiki/Differentiation_under_the_integral_sign
原來有好多人都唔知呢條式嘅存在...,anyway 我都 state 左條 formula 同 condition 俾班同學聽,唔知佢地會唔會唔識證 (正常知條 formula 嘅詁 year 1 知識就夠哂數=.=)。
原來有好多人都唔知呢條式嘅存在...,anyway 我都 state 左條 formula 同 condition 俾班同學聽,唔知佢地會唔會唔識證 (正常知條 formula 嘅詁 year 1 知識就夠哂數=.=)。
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