Just a sketch of the solutions to 1-mark questions in the previous quiz.
Q.7
Denote [] as the greatest integer not greater than .
Does exist?
Hint: (more…)
Just a sketch of the solutions to 1-mark questions in the previous quiz.
Q.7
Denote [] as the greatest integer not greater than .
Does exist?
Hint: (more…)
今早同事快談一道(疑似)古算題,曰:
「今有共買璡(石之似玉者《說文》),人出半(即 ),盈四;人出少半(即 ),不足三。問璡價。」
確是中一數學習題的好材料。
Solution
Let be the number of buyers.
Hence the price is .
1.
以下是中四上學期,教科書中某題:
A wire of 80 cm long is cut into two pieces and each wire is bent into a square.
The length of each side of the smaller square is cm.
(a) Express the total area of the two squares in terms of .
(b) Find the minimum area of the two squares in total.
易得答案 (more…)
慚愧地,身為數學授課員,對物理學在財務金融上的應用,除了在普及書看過一丁點,所知近乎是零。這裡是有關介紹 Black-Scholes Formula 的電影,貼一貼吧。
Is the following an identity? Prove or disprove your claim:
This is a trivial (more…)