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1d
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.
1d
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.
1d
answered Need to create a context-free language
1d
comment Area of an ellipse.
Also by the way so you are clear - the matrix is not its own inverse.
1d
comment Light attenuation through water at an angle
Think about it - how can the angle possibly matter once the light crosses the boundary and enters the substance? I don't remember Beer's law clearly, is that the one which deals with attenuation coefficient? Yeah then it probably plays a role in determining $k$. Has nothing to do with angle though.
1d
comment Area of an ellipse.
It's because the matrix has the property that its determinant is 1. By the way your equation doesn't match the matrix, perhaps the equation should be $x^2/9 + 9y^2=1$.
1d
comment Light attenuation through water at an angle
After the light ray enters water, the angle is forgotten and has no meaning.
2d
comment A probability theory question
We don't know. The same proof works however over any probability measure on the Borel sigma field, with a very little change in notations.
2d
answered A probability theory question
2d
comment simulating a fair six with a four equal sector spinner
Yeah a quarter is $0.1_4$. It is between $0.0\dot2_4$ and $0.\dot1_4$, so it will generate the number 1. You will know that it is between these to numbers, when you see the first two digits - $0.10_4$ - since after that no continuation can make it fall in any other range.
2d
revised simulating a fair six with a four equal sector spinner
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2d
answered simulating a fair six with a four equal sector spinner
May
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answered Finding the the element-wise ratio of two column vectors
Mar
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answered Prove that: $\sqrt[3]{a_1^3+ a_2^3 +\cdots+a_n^3} \le \sqrt{a_1^2 + a_2^2 +\cdots+a_n^2}$
Mar
5
answered Geometric probability question, find the probability that the area of the triagle is more than twelve.
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comment Examples of mathematical results discovered “late”
... So if a third point lies in $l'$, repeat to get two points line joining which has the closest point at even lower non-zero $\delta''$. Since there are finitely many lines with 2 points from the set, this has to stop somewhere, there are two points which have no other point on the line joining them. Incredible proof.
Mar
30
answered Examples of mathematical results discovered “late”
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