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?
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.
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?
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!