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S1:E5 How many solutions does an equation have?
Автор: Roman Vershynin
Загружено: 2023-03-29
Просмотров: 292
Описание:
This is part of a free course in Undergraduate Probability: https://www.math.uci.edu/~rvershyn/te...
0:00 Recall binomial coefficients
1:45 binom(n,n) = binom(n,0) = 1
3:16 This justifies the convention that 0! = 1
3:40 Example: the number of ways to arrange 3 late flights and 4 on-time flights
6:36 Binomial coefficients are symmetric about n/2
8:54 Central limit theorem mentioned
9:24 Example: non-consequtive late flights
12:34 How many solutions does an equation have? A simple example
13:38 A more difficult example
16:27 A general formula for the number of natural solutions to an equation
17:35 Partition function, Young diagrams mentioned.
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