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 Yearling
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  • 0 posts edited
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  • 34 votes cast
Aug
18
awarded  Yearling
Jul
5
comment Taking the square root of an imaginary number
That the field of real achieves algebraic closure with introduction of only one element is remarkable and deserves emphasis. It is not in genral true. For example to close the field of rationals you need to add infinitely many numbers.
Jul
5
comment Problem about planes
With Bruce planning to visit, I'm cleaning up the Fortress.
Jul
5
answered Problem about planes
Jul
5
comment Problem about planes
If you are asking if the plane is unbounded, indeed it is. Equivalently in this case the area of the plane thus described is infinite.
Jul
4
answered What is the area of the part of the surface $z=yx$ bounded by $x^2+y^2=1$?
Jul
4
revised Understanding different definitions of bayes theorem
added 439 characters in body
Jul
4
answered Understanding different definitions of bayes theorem
Jul
3
comment $\sum_{k=1}^n \binom{n}{a_1,a_2, \cdots , a_k} \binom mk \binom{k}{b_1,b_2, \cdots , b_l}= m^n,$
Yes... I saw your solution later :)
Jul
3
comment Confidence interval for sample
Yes. I am claiming neither - in this case the data doesn't come from a normal distribution, nor does it appear to have any reason for CLT to be applied. Yes middle 95% is not best the CI - you are right. A true 95% CI for discrete distributions will be top 95% occurring values, which in this case will be 0th to 95th percentile (since probabilities are in decreasing order).
Jul
2
answered $\sum_{k=1}^n \binom{n}{a_1,a_2, \cdots , a_k} \binom mk \binom{k}{b_1,b_2, \cdots , b_l}= m^n,$
Jul
2
revised Confidence interval for sample
added 148 characters in body
Jul
2
answered Confidence interval for sample
Jul
2
awarded  Nice Answer
Jun
28
comment Randomness in pi and other irrational numbers
Seems like guesswork hogwash to me, since the normality of pi is not yet proven. The claim is weaker though, since normality is not necessary to contain all finite sequences. However, the very first sentence, "non repeating infinite sequence meaning contains everything" is obviously either poetic, or which amounts to the same, fairly short sighted.
Jun
28
comment How is the area of a circle calculated using basic mathematics?
Of course it is wrong - area of a circle of radius 1 is not $2\pi\cdot 1$. Similarly all the other areas area also wrong.
May
28
comment Proof that real power series is real analytic
$|x-c|< R-|c|< R$, so $\sum a_n (x-c)^n$ converges. So there is of course a sequence $(b_k)$, viz. $(a_k)$, such that $\sum b_k (x-c)^k$ converges!
May
27
comment simulating a fair six with a four equal sector spinner
Here is result of a Python simulation - pastebin.com/njiNAEP1 Observe that except for very few cases out of 100, a 0-5 random number is generated using three or less 0-3 random numbers.
May
26
comment simulating a fair six with a four equal sector spinner
Good question - you will stop very soon - in average you will not spend more than $2.5$ spins to decide to stop. Intuitively, you will keep going only if you hit boundary, e.g. 3,1,1,1,1,1,1,1... you will deviate from there (hence stop) quickly.
May
26
answered Need to create a context-free language