TIL that the fractal dimension has been computed empirically for the coast of Ireland (1.22), the coast of Great Britain (1.25), the coast of Norway (1.55), a ball of crumpled paper (2.5), Broccoli (2.7), a human brain (2.89), cauliflower (2.8) and human lungs (2.97).

submitted by Nevin Manimala Nevin Manimala /u/mpaw975
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What is the probability of picking a rational number between [0,1] at least once with infinite trials?

My understanding is that the chance of picking a specific rational number between [0, 1] is almost never. But what happens if you take an event with (almost) 0 probability like that and then do infinite trials? Like if I randomly generate infinite random rational numbers between [0,1], what is the chance of getting some number at least once?

submitted by Nevin Manimala Nevin Manimala /u/esoremada
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Comprehensive list of math subfields?

I’m towards the end of my degree and, since I want to go into academia in the future, I want to start developing further my ‘taste’ for mathematics; specially since I have to present a thesis in order to graduate. I am somewhat aware of what the big branches of math are about, but since nowadays research is so fragmented and specific, I was wondering if there is any comprehensive list of math subfields, as the title says, with some short descriptions. I know this is unlikely to exist, but anything related will be more than helpful.

Thanks in advance.

submitted by Nevin Manimala Nevin Manimala /u/_pintoresco
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Good Books to Learn Calculus?

I’m a college senior and failed Calculus my sophomore year. I need to pass the class over the summer in order to graduate, but math has never been my strong suit. I’d like to get a head start before I take summer class in order to have a buffer to compensate for my slow learning rate. I really like the Sams Teach Yourself series for technical skills. Are there any similar books to learn calculus?

submitted by Nevin Manimala Nevin Manimala /u/LeoTheLurkingLobster
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Is there a way to calculate this car acceleration question?

So I’ve been reading that the average car 0-60 acceleration speed is 8 seconds. This is counting all slow 10 second cars like priuses and fast ones like 3 second Ferraris. So if my car does it in 5.4 seconds, I’m faster than what percentage of the automotive population? Thanks!

submitted by Nevin Manimala Nevin Manimala /u/kendizl
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