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[article] Japan is inventing trains
  • Yeah fair enough. Japan has great rail, I'm just frustrated that prestige projects like HSR seem to be everyone's focus.

    HSR is important, but local trains and freight trains are equally as important even though they get much less attention.

  • [article] Japan is inventing trains
  • But Switzerland has these tiny local stations too.

    For example, this one:

    https://en.m.wikipedia.org/wiki/Alp_Grüm_railway_station

    It's a tiny station with 440 passengers per weekday - yet it seems that two train lines, one of which is hourly stop there. Most of the passengers are likely commuters, so the bulk of all passengers will be during morning and evening rush hour. Outside these hours, hardly anyone uses this station I believe - yet trains still stop there.

    (Note: I have just searched for "Least used train stations Switzerland" and picked a random result, this might be an exception. But it goes to show that stations with few passengers still get a lot of connections.)

  • [article] Japan is inventing trains
  • Switzerland has:

    • the lowest amount of area per km of track, except for micro nations
    • a fairly low amount of population per km of track - among the top 10 if population density is considered
    • lost less than 10% of tracks since its historical peak
    • a majority nationalized rail network
    • (as you mentioned) a fully electrified network

    While I haven't travelled in Japan by rail (or any other mode), I have been to Switzerland. From what I've heard, in Japan there are many smaller local stations, where an ancient train arrives a few times a day.

    Whereas in Switzerland, it seems like nearly every local station has at least one train per hour.

  • [article] Japan is inventing trains
  • Switzerland.

    Japan has outstanding high speed rail but that's pretty much it. Local train servives are, from what I've heard, subpar in terms of frequency. The share of goods transported via rail is also comparatively low.

    Check out these numbers and sort by each colum, Switzerland is always near the top (for population/size adjusted values)

    https://en.m.wikipedia.org/wiki/List_of_countries_by_rail_transport_network_size#Countries_with_active_network

  • I just cited myself.
  • Yes, but similar flaws exist for your proof.

    The algebraic proof that 0.999... = 1 must first prove why you can assign 0.999... to x.

    My "proof" abuses algebraic notation like this - you cannot assign infinity to a variable. After that, regular algebraic rules become meaningless.

    The proper proof would use the definition that the value of a limit approaching another value is exactly that value. For any epsilon > 0, 0.999.. will be within the epsilon environment of 1 (= the interval 1 ± epsilon), therefore 0.999... is 1.

  • I just cited myself.
  • Unfortunately not an ideal proof.

    It makes certain assumptions:

    1. That a number 0.999... exists and is well-defined
    2. That multiplication and subtraction for this number work as expected

    Similarly, I could prove that the number which consists of infinite 9's to the left of the decimal separator is equal to -1:

    ...999.0 = x
    ...990.0 = 10x
    
    Calculate x - 10x:
    
    x - 10x = ...999.0 - ...990.0
    -9x = 9
    x = -1
    

    And while this is true for 10-adic numbers, it is certainly not true for the real numbers.

  • Same Old Hate, Different Wrapping
  • The concept of whiteness is purely American. It has no basis on anything and can therefore be molded to include anyone and everyone.

    The nazis concept of "Aryan" is equally as scientific.

  • [W] DrunkenSlug invite

    Hello! Does anyone have a spare invite? Thanks in advance!

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    yetAnotherUser @discuss.tchncs.de

    Hi!

    My previous/alt account is yetAnotherUser@feddit.de which will be abandoned soon.

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