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Oct
31
accepted Proof for convergence of a given progression $a_n := n^n / n!$
Oct
31
comment Proof for convergence of a given progression $a_n := n^n / n!$
Interesting approach, but the other hints were much easier to use. Sorry.
Oct
31
asked Proof for convergence of a given progression $a_n := n^n / n!$
Oct
9
accepted Transform uniform distribution to normal distribution using Lindeberg–Lévy CLT
Oct
9
accepted Function as parameter in Wolfram Mathematica
Oct
8
comment Function as parameter in Wolfram Mathematica
Is there any way, like in programming languages, to define an "anonymous function" (a.k.a. lambda-expression) the way i tried?
Oct
8
comment Function as parameter in Wolfram Mathematica
It does not work like expected! E.g. $E(f)(x)$ is now called TranslateEx. TranslateEx[fn_] := Apply[fn, {x + 1}] and then TranslateEx[x] leads to the result x[1 + x]. What does this mean? I expected x + 1 as the result. EDIT It seems i cannot enter a function directly and i need to specify it explicitly...
Oct
8
asked Function as parameter in Wolfram Mathematica
Oct
2
comment Transform uniform distribution to normal distribution using Lindeberg–Lévy CLT
@cardinal: My ranges are sometimes different. It might happen, that i want to pick a number out of [1;20] and sometimes out of [1;100]. Which technique is used to compute the most convenient standard deviation because there are many numbers left out if i use a wide interval and $a=\sigma=1$.
Oct
2
comment Transform uniform distribution to normal distribution using Lindeberg–Lévy CLT
@cardinal: I tried Box-Muller, however i was not able to shift the median like with Marsaglia! And if i think about the scenario: in the time i compute 1.000 uniform numbers i will need... 10 normal ones and i am confident, that i will be have with this :)
Oct
2
comment Transform uniform distribution to normal distribution using Lindeberg–Lévy CLT
@Gortaur: I have a solution - please have a look at my question which is edited now.
Oct
2
comment Transform uniform distribution to normal distribution using Lindeberg–Lévy CLT
@cardinal: Found the solution - look at my original question ;)
Oct
2
revised Transform uniform distribution to normal distribution using Lindeberg–Lévy CLT
found solution!
Oct
2
comment Transform uniform distribution to normal distribution using Lindeberg–Lévy CLT
@cardinal: I need this only 10 times at the beginning of the game and maybe in really special circumstances and therefore efficiency is not that important. ;)
Oct
2
comment Transform uniform distribution to normal distribution using Lindeberg–Lévy CLT
I must confess, that adding a scalar $a$ was my first idea, however my algorithm seems buggy and it doesn't work like expected. Furthermore, debugging my code revealed that i am getting sometimes numbers $\leq 0$ which is weird. Any suggestions what i can do?
Oct
2
revised Transform uniform distribution to normal distribution using Lindeberg–Lévy CLT
introduced algorithm
Oct
2
revised Transform uniform distribution to normal distribution using Lindeberg–Lévy CLT
added 32 characters in body
Oct
2
asked Transform uniform distribution to normal distribution using Lindeberg–Lévy CLT
Sep
17
comment Inductive proof for the Binomial Theorem for rising factorials
Interesting way of prooving this, however i have to do this via induction. Still thanks for sharing the idea.
Sep
16
accepted Inductive proof for the Binomial Theorem for rising factorials