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Motivating problem:  Deriving conclusions from rarely occurring events, such as multiple no-hitters by the same pitcher.  Specifically, how many no-hitters must a pitcher toss before one can conclude from that evidence alone that he is a great pitcher?
 
Motivating problem:  Deriving conclusions from rarely occurring events, such as multiple no-hitters by the same pitcher.  Specifically, how many no-hitters must a pitcher toss before one can conclude from that evidence alone that he is a great pitcher?
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===Partial Differential Equations===
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If you take a uniform circular metal disk and hold the temperatures at the periphery to some fixed pattern (say, lighting fires at some places and applying ice at others), and give it plenty of time to reach equilibrium, can you calculate the final temperature at every point inside?  What does this have to do with Fourier series?  (Hint:  It has '''everything''' to do with Fourier series.  This is the problem that Joseph Fourier was studying when he invented the series.)
    
=== Other fields ===
 
=== Other fields ===
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