Recent content by Alex_Shev
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Graduate Area distribution of inscribed triangles in a circumference
1. Sorry, but I'm too old to start studying Latex 2. I'm not a mathematician at all 3. I hate The Probability Theory (no, no, no ... you are wrong, another reason) 4. 0< Ao <1.299 because inscribed triangle has this maximum area if R = 1. The rest is OK. 5. Points obey the uniform distribution...- Alex_Shev
- Post #12
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Area distribution of inscribed triangles in a circumference
That’s what I’d like to know – will it be the same formula or not. I thought that maybe someone would be interested in the problem and would try to solve it just for themselves, not for me, and then we compare our results. It’s like with the Bertrand paradox. I decided to solve it myself, and...- Alex_Shev
- Post #10
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Area distribution of inscribed triangles in a circumference
I don't want any effort! I simply want to know can it be solved with a pencil and a sheet of paper. That's it. With the help of computer I managed to construct a formula for the density of distribution of triangles by area. it looks perfect, not a single nameless coefficient, just the area of a...- Alex_Shev
- Post #7
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Area distribution of inscribed triangles in a circumference
OK. I don't need advice on solving fourth degree equations. Can YOU solve the problem or can not? That's all I want to know. I cant. Can you try to solve it, just in case, maybe it's as simple as 2x2=? By the way, my hypothesis is that this problem cannot be solved with a pencil and a sheet of...- Alex_Shev
- Post #5
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Area distribution of inscribed triangles in a circumference
Here is my best shot. Trying to demystify the Bertrand paradox I solved the following problem. What is the probability that two randomly chosen dots on a circumference form a chord with the length greater then the predetermined value? Having this solution I got, without any effort, the сhord...- Alex_Shev
- Post #3
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Area distribution of inscribed triangles in a circumference
Three randomly selected points on a circumference form an inscribed triangle with some area. What is the probability that the resulting triangle will have an area greater than the predetermined value? Many attempts has been made by me to solve this problem but no success at all. By solution I...- Alex_Shev
- Thread
- Probability distribution
- Replies: 12
- Forum: Set Theory, Logic, Probability, Statistics