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3 yr. ago

  • I stand throbbingly by my statement

  • Yandex is deptessingly good

  • Im an anything bird - by that I mean that caffeine dictates my schedule.

    If I work UK timezones, then my last coffee is at 3pm and I'm in bed by 11:59pm and up at 8ish.

    If I work US timezones, then my last coffee is at 8pm and I'm in bed by 4am and up at 12:01pm

  • Took me a while to realise the witch didn't have a goatee

  • I have a high school friend who owns a paper mill. He was a rich kid who never did the work, and always took credit for others work.

    He has an h-index of 90 and 200,000 citations. He is not a professor.

  • Yeah, run checkupdates in a timer, and then in your script invoke checkupdates -n

    https://man.archlinux.org/man/checkupdates.8

     
        
    -n, --nosync
    Do not sync the temporary database, works   
    best when the temporary database is   
    updated regularly through some other   
    means such as a cronjob or systemd timer.
    
      
  • "Sorry luv, no candy - we don't celebrate Halloween here."

  • For (1), we started with the Maclaurin series 1/x to get us familiar with the idea of differential expansions, and then we moved to Taylor to derive expansions of some common functions like cos and sin:

    cos(x) = 1 - x2/2! + x4/4! - ...
    sin(x) = x - x3/3! + x5/5! - ....

    We now start with the definition of ex Taylor expansion, and proceed to do some substitutions:

    ex = 1 + x + x2/2! + x3/3! + .... + xn/n!

    We can then substitute in: x=iθ (remembering that i2 = -1) to get

    e = 1 + iθ - θ2/2! - iθ3/3! + θ4/4! + iθ5/5! + ... etc...

    If we group by real and complex, we can arrange the above as:

    e = (1 - θ2/2! + θ4/4! + ... ) + i(θ - θ3/3! + θ5/5! + ... )

    You should now realise that the left part resembles the expansion of cos(θ), and the right part resembles sin(θ). That is:

    e = cos(θ) + i sin(θ)

    Finally, we substitute in θ = π

    e = cos(π) + i sin(π)

    And we know that cos(π) = -1, and that sin(π) = 0, meaning that we end up with

    e = -1 + i 0

    or

    e + 1 = 0

    The teacher got excited because it is literally one of the most beautiful mathematical statements you can get, that connects five universal identities under a single statement: 0, 1, e, i, and π -- and does so using 3 different operators (times, power, plus).

    For (2), I'm still waiting as I think it's currently holding the world together by sheer mass alone

  • My high school teacher introduced this to us as a slow reveal over the course of weeks of what would be the proof of

    e = -1

    The happiest moment was when he brought in these two disparate field of mathematics, complex numbers and series expansions, and hit us with this magnificent revelation. Once he drew it up, he stood there shaking with excitement, beaming at us at how amazing this all was.

    The class wasn't having it. We were teenagers. We understood it from a purely proof level, but did not get the implications. It was years years later that it all hit me how amazingly neat it was of the universe to unite these fields together like that and to unearth literally new tools we could use to explore further fields of maths.

    Thankfully since then I've started dating Taylor Swift and reading the words of Samule Taylor Coleridge, whilst getting clothes fitted to size at my local clothes-maker guy to fit my enourmous expanding schwang.

  • oh I'd teach 'em modern english, and then dump a truck load of People's Magazine's outside their hut

    Going for a hunt today? Can't. Need to know what Janniston said to Branjelo on page 4

  • kid: avada kad-teacher: no not like that either

  • US and Russia would tear themselves apart internally. That leaves China with the largest functioning army, vs the EU if they can mobilize fast enough

  • It wouldn't actually take much would it, to make competition happen. Government just offers their own cheaper alternative, and boom, suddenly food prices drop

  • Didn't all dinosaurs die for our sins?

  • ...and replaced with more BOGOF for healthier items?

    Oh, nothing? Oh, okay

  • Where there'a a profit incentive, yes it's likely being gamed by bots.

    For quieter spaces with not too much engagement, you're generally talking to people is my feeling there

  • Deleted

    Permanently Deleted

    Jump
  • Empathy tends to be a byproduct of considering another person's point of view and not immediately assuming the worst. There is definitely intelligence there, if you are considering all angles

  • Human: "because of the colour your cheeks go when you're embarassed, you cutie pie"

  • Programmer Humor @programming.dev

    Khan is hugely relatable

  • ich_iel @feddit.org

    ich 👴🦛🪑 iel

  • Science Memes @mander.xyz

    We sure do like our Fungi

  • Asklemmy @lemmy.ml

    "1.32 MB" Is that pronounced, "one-point-three-two" megabytes, or "one-point-thirty-two" megabytes?

  • Asklemmy @lemmy.ml

    How many of you out there were influenced by Art Attack growing up?

  • Asklemmy @lemmy.ml

    What task would you excel in if you lived in the Stone Age?

  • Lemmy Support @lemmy.ml

    How do we find out the cause of deleted posts not shown in the modlog?

  • Asklemmy @lemmy.ml

    How many of you have nice parents that listen?

  • Asklemmy @lemmy.ml

    Trying to communicate across languages, but sharing only the same words for bread/water/plus/not/left/fuck/heartening/baggage/to/. How do I ask for directions to a bar?

  • 196 @lemmy.blahaj.zone

    True story.

  • Asklemmy @lemmy.ml

    In the style of a Cinderella story, what do you do for a living?

  • Today I learned @lemmy.ml

    TIL of the Donner Party who were a group of pioneers including women and children who had to resort to cannibalism after an early snowfall cut off their destination, just one mountain pass over.

    en.wikipedia.org /wiki/Donner_Party
  • Asklemmy @lemmy.ml

    Parody songs that play rent free in your head?

  • Asklemmy @lemmy.ml

    Thoughts on Ladytron?

  • Asklemmy @lemmy.ml

    Least regrettable but most unconventional liquid to take a bath in?

  • Today I learned @lemmy.ml

    TIL "Raindrops Keep Fallin' on my Head" was first written for Butch Cassidy and the Sundance Kid

    en.wikipedia.org /wiki/Raindrops_Keep_Fallin%27_on_My_Head
  • Asklemmy @lemmy.ml

    What kind of cool stuff does your local wizard do?

  • Asklemmy @lemmy.ml

    Who's the biggest sack of shit that ever lived? Down-vote if you've heard the name, upvote if you haven't. Rarest is victor.

  • Asklemmy @lemmy.ml

    The Party is conducting house raids. You are an undesirable and have X days prep. Where do you hide?

  • Asklemmy @lemmy.ml

    If you could rearrange the days in a week, what would your ideal month look like.