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Useful resources for Calculus: http://www.cse.cuhk.edu.hk/~csc2800/resource/index.html http://www.sosmath.com/calculus/calculus.html http://en.wikipedia.org/wiki/Calculus
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Slides to skip 36-54; 64-65; 70-72; 78-79; 93-99; 103-104; 124-195.
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Slide 9 Weibull Distribution: Failure rate constant over time: k=1 (becomes exponential distribution) Failure rate decreases over time: k<1 Failure rate increases over time: k>1 From Wikipedia
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Slide 20 Forget about the second bullet. It is not a rigorous argument. If you look at a trace, the derivative of of N f (t) = dN f (t)/dt is either zero or infinite (a dirac delta function). In other words, the definition of R(t) is OK, but not that of R’(t).
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Slide 22
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Slide 29 Wording is confusing. “15% components last 90 hrs but fail before 100 hrs” can be interpreted as P(90<X<100) = 0.15. To be more precise, should have said “Among components that last more than 90 hrs, 15% of them last less than 100 hours”. Then the corresponding probability would be a conditional probability.
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