Recent content by jgens

  1. J

    Physics Security Clearance required when applying for jobs related to math and physics?

    Most of my network is business analysts, data analysts/engineers/scientists and software engineers and none of them have jobs requiring security clearance. IMO it coming in many job postings is more likely indicative of which industries you are searching than it being a super common thing
  2. J

    Why would a card game company ban online card simulators?

    Depending on the target market for the game and how people generally play (online vs in-person), free online simulators can cut pretty significantly into the bottom-line. For an extreme example, imagine someone created a popular Hearthstone simulator where nobody needed to either grind/pay for...
  3. J

    Job Skills Math and Physics: Where to work?

    This really sounds like homework you should be doing as a jobseeker, rather than asking the internet. But what does relevant company even mean here? Are you wanting to work in specific industries or do specific kinds of work? If by relevant company you mean "willing to hire someone with my...
  4. J

    Job Skills Math and Physics: Where to work?

    As someone who came from a similar background and currently does engineering / data science work, can vouch that the door for those kinds of gigs should definitely not be closed (e.g. the company I work for almost exclusively hires math and physics undergrads without experience into entry-level...
  5. J

    Other Can i become a Call of Duty pro pro player and still study physics?

    I actually work in the gaming industry on the engineering and data science sides and regularly interface with professional gamers (defined here as people who play on major eSports teams and get payed for playing on the big stage). Some of the numbers here vary by title and the maturity of the...
  6. J

    Engineering Should I be in engineering or mathematics?

    Depending on what counts as "doing math" here, this statement is patently untrue. I work in the gaming industry and there are many opportunities for people with undergraduate math degrees: About 1/3 of our business intelligence team hold only a BA/BS in mathematics or statistics. No programming...
  7. J

    Alternatives to proving the uncountability of number between 0 and 1

    It was not an insult, it was a request. PF is not a place for other people to do the thinking for you. There is an expectation that you think something through before asking. It would do you good to familiarize yourself with mathspeak, but that point aside I am not sure which part of that...
  8. J

    Alternatives to proving the uncountability of number between 0 and 1

    In the future try thinking about the claim for more than three minutes before asking to have it spelled out for you. In any case, notice that the set An of all real numbers in [0,1] whose decimal expansion has length n is in bijection with the set {0,...,9} x ... x {0,...,9} (this is an n-fold...
  9. J

    Don't believe that pi is a real number

    This is nonsense. We have perfectly rigorous definitions of real numbers. Axiomatically they are the unique Dedekind-complete ordered field and constructions of the real numbers via Dedekind cuts or Cauchy sequences have been known for over a century. A rigorous definition for π is also easy to...
  10. J

    Alternatives to proving the uncountability of number between 0 and 1

    Since there are only countably many reals with finite decimal representations, and since this observation only accounts for these representations, it will not suffice. Something more sophisticated like the diagonal argument is needed.
  11. J

    Free groups: why are they significant in group theory?

    Most decent algebra texts will prove these results, but the arguments are actually quite simple so I can sketch them here. For (i) let G be any group and let FG be the free group generated by the elements of G. The universal property of this free group provides a homomorphism FG→G and let K...
  12. J

    Totally bounded but not bounded

    This "assumption" is incorporated into the definition of metrics.
  13. J

    Need sources to search for gamma function infinite series identities.

    Checking journals for your particular series is going to be difficult. It is unlikely something like the series itself would be present in the title, so you would probably need to search specifically for articles about the gamma function, the problem then becoming there are a lot of these...
  14. J

    How to show this is a Hom.

    Oh whoops you are right! Unless I am mistaken it turns out the result is actually false! Take p = n = 2 and consider the map Ω:Z4→Z4 given by Ω(x) = x2. Then Ω(1+1) = Ω(2) = 22 = 0 but Ω(1)+Ω(1) = 12+12 = 2.
  15. J

    How to show this is a Hom.

    Essentially just apply the binomial theorem. Since the ring has characteristic p all the undesired terms vanish.