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seen Jun 27 at 7:01

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awarded  Enlightened
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awarded  Nice Answer
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Jun
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comment Geometric interpretation of a Taylor series like identity
Are you aware of the derivation of the formula by repeated integration by parts? That yields what might be called a geometric interpretation, though it's probably not quite as geometric as you'd like it to be: The area under $f$ is the area under $(xf)'$ minus the area under $xf'$, which in turn is the area under $(\frac12x^2f')'$ minus the area under $\frac12x^2f''$, and so on.
Jun
26
comment Can we qualitatively predict the strategy of the German and US teams in today's World Cup soccer match?
@Hayden: Yes, that's why I put it in the answer and not in the question -- perhaps someone can come up with a more comprehensive analysis.
Jun
26
asked Can we qualitatively predict the strategy of the German and US teams in today's World Cup soccer match?
Jun
26
answered Can we qualitatively predict the strategy of the German and US teams in today's World Cup soccer match?
Jun
21
awarded  Guru
Jun
17
awarded  Good Answer
Jun
12
comment Multiple integral over a disc
Due to the radial symmetry, you can perform the outermost angular integral to get a factor $2\pi$. I wouldn't be surprised if it turns out to be impossible to make any progress beyond that.
Jun
11
awarded  Enlightened