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Joined 11 months ago
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Cake day: July 22nd, 2023

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  • force@lemmy.worldtoScience Memes@mander.xyzI just cited myself.
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    19 hours ago

    Lol what? How did you conclude that if 9x = 5 then x = 1? Surely you didn’t pass algebra in high school, otherwise you could see that getting x from 9x = 5 requires dividing both sides by 9, which yields x = 5/9, i.e. 0.555... = 5/9 since x = 0.555....

    Also, you shouldn’t just use uppercase X in place of lowercase x or vice versa. Case is usually significant for variable names.


  • force@lemmy.worldtoScience Memes@mander.xyzI just cited myself.
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    19 hours ago

    Pi isn’t a fraction (in the sense of a rational fraction, an algebraic fraction where the numerator and denominator are both polynomials, like a ratio of 2 integers) – it’s an irrational number, i.e. a number with no fractional form; as opposed to rational numbers, which are defined as being able to be expressed as a fraction. Furthermore, π is a transcendental number, meaning it’s never a solution to f(x) = 0, where f(x) is a non-zero finite-degree polynomial expression with rational coefficients. That’s like, literally part of the definition. They cannot be compared to rational numbers like fractions.

    Every rational number (and therefore every fraction) can be expressed using either repeating decimals or terminating decimals. Contrastly, irrational numbers only have decimal expansions which are both non-repeating and non-terminating.

    Since |r|<1 → ∑[n=1, ∞] arⁿ = ar/(1-r), and 0.999... is equivalent to that sum with a = 9 and r = 1/10 (visually, 0.999... = 9(0.1) + 9(0.01) + 9(0.001) + ...), it’s easy to see after plugging in, 0.999... = [n=1, ] 9(1/10)ⁿ = 9(1/10) / (1 - 1/10) = 0.9/0.9 = 1). This was a proof present in Euler’s Elements of Algebra.







  • here’s a replica i just made using the equal earth projection

    and here’s one using the authagraph projection

    i wanted to make one using the mollweide projection, but i couldn’t find a good blank map with borders to use

    they’re both poor work, but i don’t want to put in the effort to fix them, and it’s pretty funny imagining icelanders getting mad that i put them in north america

    both used blank world map images ripped from wikipedia plus getpaint.net









  • force@lemmy.worldtoLemmy Shitpost@lemmy.worldLater, losers
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    1 month ago

    Not gonna be active on Discord tonight. I’m meeting a girl (a real one) in half an hour (wouldn’t expect a lot of you to understand anyway) so please don’t DM me asking me where I am (im with the girl, ok) you’ll most likely get aired because ill be with the girl (again I don’t expect you to understand) shes actually really interested in me and its not a situation i can pass up for some meaningless Discord degenerates (because ill be meeting a girl, not that you really are going to understand) this is my life now. Meeting women and not wasting my precious time online, I have to move on from such simple things and branch out (you wouldnt understand) @everyone