omg

Comments

• ThatGuy46475@lemmy.world ⁨3⁩ ⁨weeks⁩ ago

  x^2 —— = x x

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  • drolex@sopuli.xyz ⁨3⁩ ⁨weeks⁩ ago

    Proof?

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    • JPAKx4@lemmy.blahaj.zone ⁨3⁩ ⁨weeks⁩ ago

      If you’re saying two variables are equal, then x=x is valid. The only issue with this is it doesn’t indicate the restriction at x=0. This is a “hole” in the function since anything/0 is undefined. For all other cases the equation holds true.

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• ChaoticNeutralCzech@feddit.org ⁨3⁩ ⁨weeks⁩ ago

  Somebody please crop this meme to A4 paper’s aspect ratio

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• ChaoticNeutralCzech@feddit.org ⁨3⁩ ⁨weeks⁩ ago

  What if I told you that it works for any number 𝑥 you replace 2 with? (Except for 0 but still working for 𝐥𝐢𝐦 𝑥→0)

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  • sp3tr4l@lemmy.zip ⁨3⁩ ⁨weeks⁩ ago

    … where x is positive.

    Otherwise it has an imaginary component and is complex.

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    • SpaceNoodle@lemmy.world ⁨3⁩ ⁨weeks⁩ ago

      Nope, it still works even then.

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  • shalafi@lemmy.world ⁨3⁩ ⁨weeks⁩ ago

    NOW I get it. Thanks.

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• user224@lemmy.sdf.org ⁨3⁩ ⁨weeks⁩ ago

  The other way around you get √
  Image

  (I can’t even draw simple stuff…)

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  • Soulg@ani.social ⁨3⁩ ⁨weeks⁩ ago

    Hard to draw when you’re so busy kissing boys

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  • ignotum@lemmy.world ⁨3⁩ ⁨weeks⁩ ago

    You like installing arch don’t you, you’re an arch installer aren’t you

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    • NotProLemmy@lemmy.ml ⁨3⁩ ⁨weeks⁩ ago

      Also, i use fedora

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• bleistift2@sopuli.xyz ⁨3⁩ ⁨weeks⁩ ago

  Observe the identities

  a / b = a × b^(-1)
  

  and

  sqrt(a) = a ^ (1/2)
  

  and derive

    2 / sqrt(2)
  = 2 / 2^(1/2)
  = 2 × 2^(-1/2)
  = 2 ^ (1 + -1/2)
  = 2 ^ ( -1/2 )
  = sqrt(2)
  

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  • putitoutwithyourbootsted@piefed.social ⁨3⁩ ⁨weeks⁩ ago

    Neat breakdown! Can you explain why this line =2^(1+ -1/2) =>2^(-1/2)
    shouldn’t it be 2^(1/2) or am I missing something? Second guessing myself here lol

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    • bleistift2@sopuli.xyz ⁨3⁩ ⁨weeks⁩ ago

      No, that’s a mistake. Incredible how many mistakes one can make in a simple derivation.

      Thanks for pointing it out.

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• TootSweet@lemmy.world ⁨3⁩ ⁨weeks⁩ ago

  This isn’t intuitive to people?

  2/sqrt(2) = ( sqrt(2)*sqrt(2) ) / sqrt(2)
  

  Then cancelling out one of the sqrt(2)s in numerator with the sqrt(2) in the denominator, you’re left with sqrt(2).

  I do a lot of toodling around OpenSCAD, though, and sqrt(2) tends to come up a lot because, you know, Pythagoras and right triangles and all that.

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  • ftbd@feddit.org ⁨3⁩ ⁨weeks⁩ ago

    Also pops up a lot in basic electrical engineering as the conversion factor between amplitude and RMS value of sine waves

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• ThisIsAManWhoKnowsHowToGling@lemmy.dbzer0.com ⁨3⁩ ⁨weeks⁩ ago

  Wtf is this

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  • Stanley_Pain@lemmy.dbzer0.com ⁨3⁩ ⁨weeks⁩ ago

    Maf

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    • RapidCatLauncher@lemmy.ca ⁨3⁩ ⁨weeks⁩ ago

      Quick maffs

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  • FundMECFSResearch@lemmy.blahaj.zone ⁨3⁩ ⁨weeks⁩ ago

    x^2
    —— = x
    x

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  • A_Union_of_Kobolds@lemmy.world ⁨3⁩ ⁨weeks⁩ ago

    Well the square root of x times itself gives you x

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    • ThisIsAManWhoKnowsHowToGling@lemmy.dbzer0.com ⁨3⁩ ⁨weeks⁩ ago

      I had to go through the five stages of grief to fully process your explanation. Thanks for explaining.

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  • slothrop@lemmy.ca ⁨3⁩ ⁨weeks⁩ ago

    Yes.

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• MarcomachtKuchen@feddit.org ⁨3⁩ ⁨weeks⁩ ago

  It’s Really simple once you get it, but it allways blows my mind.

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  • MBM@lemmings.world ⁨3⁩ ⁨weeks⁩ ago

    1/sqrt(2) and 0.5 * sqrt(2) both being 0.707 always blows my mind even though it’s basic algebra

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• expatriado@lemmy.world ⁨3⁩ ⁨weeks⁩ ago

  i too remember when i was on 8th grade

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• MonkderVierte@lemmy.ml ⁨3⁩ ⁨weeks⁩ ago

  c/mathmemes

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• TheRealKuni@midwest.social ⁨3⁩ ⁨weeks⁩ ago

  How am I s’posed to root two this?

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