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seen Nov 23 at 21:21

Sep
12
comment which is bigger $I_{1}=\int_{0}^{\frac{\pi}{2}}\cos{(\sin{x})}dx,I_{2}=\int_{0}^{\frac{\pi}{2}}\sin{(\sin{x})}dx$
I don't think this adds much above a direct calculator computation, unless there's something about J_0 and H_0 that leads to a cleaner non-calculator solution.
Mar
3
comment What is dimensional consistency, mathematically?
Thanks for the great link! I haven't finished, but that seems to be what I'm looking for.
Jan
14
comment approximating a discrete function with a continuous one
Right, as long as $f$ is sufficiently well-behaved. If $f$ looks like a smooth interpolation of the discrete $f$, you should be fine. You might run into an off-by-one error where, for example, $f(0.1)$ is the maximum with $h = 0.1$, but $f(0.151)$ is the continuous maximum. Then you might round $0.151$ to $0.2$ and incorrectly conclude that $f(0.2)$ is the discrete maximum.
Jan
1
comment A complex equation
You may be interested in the notion of zero divisors: en.wikipedia.org/wiki/Zero_divisors