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May
20
comment Geometry/ trig.
@MichaelAvisov any calculator will do this for you, or you can use Wolfram Alpha: wolframalpha.com/input/?i=arcsin(10.817%2F21)
May
20
comment Poisson counting process question, but correct answer not obtained by usual method
@DOGOFWALLSTREET because knowing what happened over a large interval influences information you know about its subintervals.
May
20
comment Poisson counting process question, but correct answer not obtained by usual method
$P(A|B) \neq P(B|A)$, even here
May
20
comment Way to compare three numbers with an algorithm.
+1. I like accounting for relative distances, which my answer does not do. Unfortunately, won't generalize too well. Perhaps you need to divide this by the average instead of the median... Another question to think about is 0, 10, 10.001 are not close (OP's second example) but your metric would be fairly small...
May
20
comment Way to compare three numbers with an algorithm.
For OP's examples, $\sigma$ would be small in the first one and large in the second one. Whether he wants to account for relative (like in your answer) or absolute (like in my answer) scales, is not clear from the question...
May
20
comment What is $\int \frac{e^{a x}}{1+x^2} dx $?
one iteration by parts will convert this to $\int e^{ax} \tan^{-1}(x)dx$ but not sure this is simpler...
May
20
comment Number of roots of a polynomial of non-integer degree
+1, nice, useful - thank you
May
20
comment Division by zero factoring problem
you likely mean $x=-2$ not $x=2$?
May
19
comment Convex function inequality for Euclidean norm: $\|(f(x_1),\cdots,f(x_n))\|_2\leq f(\|x\|_2)$
feels similar to Jensen's inequality
May
19
comment Power series as fractions
@user222031 fixed, thanks for the correction
May
19
comment Power series as fractions
@user222031 indeed, this is how i caught the bug in the first place
May
19
comment Power series as fractions
@L887 you missed $1$ when factoring out, should be $(x^3-x^6)(1+x+\ldots)$
May
19
comment Evaluating a limit involving a definite integral
@fargg he probably assumed the Riemann-Lebesgue lemma is generally known...
May
19
comment Evaluating a limit involving a definite integral
Russian typo in the middle of the 2nd formula, you likely meant to write "and" instead :)
May
19
comment Calculus differentiation
Please see the final update to my answer
May
19
comment Calculus differentiation
Exactly. It's a mistake, should be either asking for volume or giving units in cubic cm, but not both ;-)
May
19
comment Calculus differentiation
Yes, from the original equation, find $h$ given $V,r$ and plug everything into the last equation to find $dV/dt$.
May
18
comment make the mean of 2 data sets the same
@TomasJorovic fixed. I thought you only asked for 40 to be preserved
May
18
comment Can someone provide me a simplest way to calculate:
can you show your own work on a problem?"
May
18
comment Calculus differentiation
I updated my answer with response to your comment, please see if this is enough to make you go further.