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2023 Math Runway
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–- taking off to the math sky!

112 Academic year: 2023F ~ 2024S

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Math Runway 系列活動的目標是提供讀數學所需要的各種協助，讓大家藉由這些活動當做起飛的跑道，一窺數學的奧妙。活動的設計一方面讓大家可以多了解數學的各種相貌，另一方面則針對常見的錯誤或困難辦理輔導課程。有一些活動會以英文為主進行、或是一起看一些英文的數學文章，藉以讓大家更增進英文能力、且習慣原文書。

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Math Runway
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Math Run away
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活動時間

活動花絮

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2024 年春季

預計兩週一次 Math Runway 活動，一般來說在週五的 12:10 ~ 13:00 舉行。

2/23 林晉宏

碎形：康托爾集的維度

12:10 ~ 13:00 @ 4011

集合的維度一定要是整數嗎？一維線段放大 3 倍以後，長度會變 3 位；二維矩形放大 3 倍以後，面積會變 9 倍。如果一個集合放大 3 倍以後，範圍變成自己的 2 倍，那它的維度是多少？

3/8 陳美如

美國校園生活分享

12:10 ~ 13:00 @ 4009-1

TBA

3/22 林晉宏

連續型隨機變數：布豐投針

12:10 ~ 13:00 @ 4009-1

在間隔 10 公分的一群無窮平行線上，隨意投上一根 10 公分的針。針碰到任一條平行線的機率是多少？

4/5 N/A

民族掃墓節放假

4/19 卓建宏

求學、留學經驗分享（日本）

12:10 ~ 13:00 @ 4009-1

分享申請日本學校、獎學金、日語學習、日本校園生活等留學資訊、以及學習數學、修讀博士班的心路歷程。

5/3 郭建成

用微積分估算誰滾得比較快：轉動慣量

12:10 ~ 13:00 @ 4009-1

一個 100 公克、半徑 3 公分的金屬環、以及一個 100 公克、半徑 3 公分的金屬圓柱，兩個同時放在斜面上向下滾，誰會滾比較快？轉動慣量

I=∫ρrdV 相當於轉動時的「質量」，而角加速度
Gmsin⁡θI 在物體質量
m 和斜坡角度
θ 都固定時，轉動慣量愈大則物體滾動愈慢。試試看用微積分來推測答案，並用實驗來驗證你的答案吧。

5/17 林晉宏

如何交換兩個變數值，且不用到第三個變數

12:10 ~ 13:00 @ 4009-1

在程式設計中，如果你手上有兩個變數，你要如何交換它們的數值？如果不宣告第三個變數做得到嗎？

5/31 林晉宏

如何估計樣本變異數：除以 N 還是 N - 1

12:10 ~ 13:00 @ 4009-1

在計算變異數或標準差的時候，有些課本會除以

N、有些會除以
N−1。有人說因為是樣本變異數，所以要除以
N−1，有人說兩者沒差。究竟公式是哪一個？

2023 年秋季

無 Math Runway 活動

Last changed by 
 
Jephian Lin
https://jephianlin.github.io/
0
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