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1 yr. ago

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  • My whole point is that a “straight done”, in general, doesn’t exist in the first place. Because in general definitions are actually really hard.

    It’s not that it’s important to me. It’s that I’ve spent many parts of my day on the phone with the bank, and never should be taken for more than an asshole on the internet. Sorry if you thought I was more invested than that.

  • Square!

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  • Except here you said here

    https://lemmy.ml/comment/13839553

    That they all must be equal.

    Tangents all be equal to the point would be exponential I thinks. So I assume you mean they must all be equal.

    Granted I assumed constant, because that’s what actually produces a “straight” line. If it’s not, then cos/sin also fall out as “straight line”.

    So I’ve either stretched your definition of straight line to include a circle, or we’re stretching “straight line”

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  • But then your definition of a straight line produces two different shapes.

    Starting with the same definition of straight for both. Y(x) such that y’(x) = C produces a function of cx+b.

    This produces a line

    However if we have the radius r as a function of a (sorry I’m on my phone and don’t have a Greek keyboard).

    R(a) such that r’(a)=C produces ra +d

    However that produces a circle, not a line.

    So your definition of straight isn’t true in general.

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  • Sorry that’s not what I’m saying.

    I’m saying a line with constant tangent would be a circle not a line.

    Let me try another way, a function with constant first derivative in polar coordinates, would draw a circle in Cartesian

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  • I’m saying that the tangent of a straight line in Cartesian coordinates, projected into polar, does not have constant tangent. A line with a constant tangent in polar, would look like a circle in Cartesian.

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  • Only true in Cartesian coordinates.

    A straight line in polar coordinates with the same tangent would be a circle.

    EDIT: it is still a “straight” line. But then the result of a square on a surface is not the same shape any more.

  • Can you see how “there’s not a better solution” isn’t addressing the problem that crypto is fundamentally a scam?

    Also, you can’t pay your rent with crypto either….

    EDIT: if you want crypto to pass my sniff test, you have to explain where value comes from.

    Fiat currency is valuable because I can pay my taxes with it. (This is really the only reason it has value).

    So what underpins crypto value beyond “it’s the future”