Recent content by asmani
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Undergrad Bijective function from naturals to primes
Oh I see what you mean. Let me clarify: It's a bijection from Q+ to W, and then from W to N, where W is the set of all 2m3n for all coprime n and m. Here is the bijection from W to N: Map the smallest member of W to 1, the second smallest member of W to 2, and so on- asmani
- Post #9
- Forum: Set Theory, Logic, Probability, Statistics
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Undergrad Bijective function from naturals to primes
Can you give a counterexample?- asmani
- Post #7
- Forum: Set Theory, Logic, Probability, Statistics
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Undergrad Bijective function from naturals to primes
I was thinking about bijection from Q to N. here is what I came up with: m/n --> 2m3n And it's easy to show there's a bijection from the set "2m3n for all coprime n and m" to N. Edit: This is Q+ to N. Does it work?- asmani
- Post #5
- Forum: Set Theory, Logic, Probability, Statistics
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Undergrad Bijective function from naturals to primes
https://math.stackexchange.com/questions/1160411/is-there-a-one-to-one-function-from-the-natural-numbers-to-the-primes- asmani
- Post #4
- Forum: Set Theory, Logic, Probability, Statistics
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Undergrad Bijective function from naturals to primes
What's the problem with this trivial solution: n --> n'th prime.- asmani
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- Function Primes
- Replies: 9
- Forum: Set Theory, Logic, Probability, Statistics
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High School Visual Pattern Recognition Test
I understand what you mean by many answers. That's a nice pattern, thanks!- asmani
- Post #9
- Forum: General Math
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High School Visual Pattern Recognition Test
I found this, but it's not very nice: Each element of the first row is some reflection of the union of the other two in its column. So here is the answer:- asmani
- Post #7
- Forum: General Math
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High School Visual Pattern Recognition Test
Oh, did you mean the answer to "?" is all black? Well, that doesn't need a picture.- asmani
- Post #6
- Forum: General Math
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High School Visual Pattern Recognition Test
I'm sorry, that was bad English. I meant "Make a picture of the answer". Can you give a hint on what type of operation? I've tried unions, intersections, symmetric differences, shifts, reflections, rotations, reversing, and some combinations of these operations, none of them worked. should I...- asmani
- Post #5
- Forum: General Math
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High School Visual Pattern Recognition Test
Could you please illustrate your answer?- asmani
- Post #3
- Forum: General Math
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High School Visual Pattern Recognition Test
Dear moderator, if the thread is irrelevant to this forum section, please move it to the right section. Thanks.- asmani
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- pattern recognition Test Visual
- Replies: 8
- Forum: General Math
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Graduate A strategy better than blind chance
Hey we have an infinite number of hats...- asmani
- Post #6
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate A strategy better than blind chance
Yeah, sorry I accidentally omitted the "l" in "html".- asmani
- Post #4
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate A strategy better than blind chance
This is an interesting riddle from here: http://www.brand.site.co.il/riddles/201607q.htm I'm having difficulty understanding the problem. If each hat is black/white with 50-50 probability, independent of the colors of other hats, then the probability of winning for n=2 is always 1/4, no matter...- asmani
- Thread
- Strategy
- Replies: 18
- Forum: Set Theory, Logic, Probability, Statistics
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Undergrad How do you explain this? (Optics)
Hi. As you can see in the video attached, the image of the street is projected on the ceiling! Only a window glass and a simple curtain is involved. How does this happen? And how can I optimize (the window angle curtain etc) to get the most clear picture?