MIT600SC笔记16&17



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Lecture 16: Using Randomness to Solve Non-random Problems

Computational models如何构建才能帮助理解现实世界

Uniform 每个结果概率相同

Exponential distributions指数分布 memoryless

Analytic model && Simulation model

exponential decay

Fidelity-Credibility信度

Utility-what question are answerable效度

Monte Hall三选一 choice is not independent of choice of player. 换的话2/3,不换1/3

随机的办法解决不随机的问题

17世纪 needles in circle/needles in square = areas of circle/area of square

pi = area circle = area of square * needles in circle/ needles in square

 

Lecture 17: Curve Fitting

在相信模拟结果之前,相信概念模型正确,并被正确实施。

Physical reality -> Theoretical model -> Computational model

F = -KX胡克定律

数据输入使用单独的function

least square fit

mit600sc17-1

PolyFit(obsX, obsY,degree)

y =ax + b

linear regression线性回归

Coefficient of determination

R**2 = 1 – EE/mv



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