Are polynomials actually wrong?

Are polynomials actually wrong? Dimensional analysis makes it obvious that you cannot compare, let alone add or subtract, cubic meters, square meters, and meters. So how can a polynomial mixing up volume, area and length make sense?

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  1. 1 month ago
    Anonymous

    Remove yourself from the gene pool

    • 1 month ago
      Cult of Passion

      Why would his DNA be in the pool? Was he in it? Why is that an issue?

      Dimensional Analysis is whack, man...

      • 1 month ago
        Anonymous

        b-b-but t-the b-buckingh-ham p-ppie theorem

        • 1 month ago
          Saint. Barkon

          Want to fart link with me. Go after 3.

          3..

          2..

          1..

          Go now.

  2. 1 month ago
    Anonymous

    Actually you're right.

  3. 1 month ago
    Anonymous

    The coefficients of the polynomial have units to make it work out

  4. 1 month ago
    Anonymous

    how can you have -0,935 of something?

  5. 1 month ago
    Anonymous

    False equality.
    x^3 is not volume. V is volume, measured in X^3. just because V is measured in x^3 does not make x^3 equal to volume.
    Etc for x^2 and A, and x and L.
    Even for c. You can count chickens, but chickens aren't numbers.

    • 1 month ago
      Cult of Passion

      >but chickens aren't numbers.
      *cough*

      • 1 month ago
        Saint. Barkon

        I worked out how to connect to my abstraction frame machine is to focus on these parts of my body that tell, and it puts you in a realm of abstraction if you notice. And there's a secret code for your frame to fall into this state. You gain it upon installation. I might be able to contact you with directions to my stomach that I'll talk from.

    • 1 month ago
      Anonymous

      Absolute meltdown here lmao.
      X^3 IS volume of a cube by definition. Give an example where x^3 will not be the volume of a cube whose side is x

      • 1 month ago
        Anonymous

        (x meter)^3 = x^3 meter^3 is volume
        (x)^3 is multiplication
        cope again

        • 1 month ago
          Anonymous

          Doesn't really matter. You could choose any other unit and x^3 would still be a volume in that vector space. For example, consider generalized position and momentum coordinates then, Liouville's theorem states that the volume occupied by the phase of the system is preserved on time evolution. In this case generalized position and momentum can have any units or could be unit less. They still occupy a volume in pj,qj vector space

  6. 1 month ago
    Anonymous

    The sizes are just wrong in the pic
    Every cube should have total area of −0,817
    Every square should have total area of −0,874
    Which means that the squares should be much larger, 1 square would need to fit more than 1 area of a cube

  7. 1 month ago
    Saint. Barkon

    I already know everything. The cure. The method of contact. But I can't think through, my through is blocked. I can't read my own thoughts or hear it so I make no movement in correlation. To my intelligence. Which is nil where nil is still a facet, incomplete. I can't articulate or select precisely the vocabulary I want either.

  8. 1 month ago
    Saint. Barkon

    I'm making moves on my theory of psychological stance, before I was following my dreams wrongly too much. It definitely makes a imprint on my passive motion through space time. Perhaps there is a way to do this. Obviously there's no point in trying to think about it. So I just gotta land on the correct answer through guesswork and re application.

    • 1 month ago
      Saint. Barkon

      Space time is the negative nature of space. How it is there, but how it is there is a result of some greater machine like a vacuum, and the nature of it being there is creating 'time' where it exists.

  9. 1 month ago
    Saint. Barkon

    Ought we focus on hyperspace-time or Zero Space time because space is not all there is and time is not inclusive of just the experience of space but all and thus there is an element of a higher proportion involved such as hyper or zero, including all objects on a mental level.

  10. 1 month ago
    Saint. Barkon

    Both space time and hyperspace time are things.

  11. 1 month ago
    Anonymous

    the coefficients always have the correct units to balance out the variables' units.
    if they don't you are doing it wrong

    • 1 month ago
      Anonymous

      This.
      Just by looking at units you can even cook up what the form of the quadratic and cubic formula should be without manipulating the equation at all.

  12. 1 month ago
    Anonymous

    Why doesn't Wildberger talk about this?

    • 1 month ago
      Anonymous

      what, OPs personal misunderstandings?
      also math != physics

  13. 1 month ago
    Anonymous

    What if we phrase it this way:
    > Find me the side length of a cube so that three times its volume minus twice its cross sectional area plus three times said side length plus seven equals zero
    Seems like a perfectly reasonable (albeit very difficult without polynomials) task.

    • 1 month ago
      Anonymous

      >three times its volume minus twice its cross sectional area plus three times said side length plus seven equals zero
      >let me just subtract 3m and 2m2 from 3m3

      • 1 month ago
        Anonymous

        At the end of the day, all these things are just numbers which you can manipulate. If I asked you to find me a square where the side length is equal to its area, you wouldn't complain that the side length is in meters and the area in meters squared. A solution to the problem obviously exists. This is no different.

  14. 1 month ago
    Anonymous

    It's alright since the thing you plug in for x is the same kind of dimension.

  15. 1 month ago
    Anonymous

    Are you moronic? The polynomial coefficients fix the units, example

    ax^2 + bx^2 + c + d = 0
    a: 1 (no unit)
    b: meter
    c: meter^2
    d: meter^3

    • 1 month ago
      Anonymous

      I'm assuming you're this

      What if we phrase it this way:
      > Find me the side length of a cube so that three times its volume minus twice its cross sectional area plus three times said side length plus seven equals zero
      Seems like a perfectly reasonable (albeit very difficult without polynomials) task.

      guy. In which case you said twice it's cross section, not 2m times it's cross section, three times side length not 3m2 times length etc or whatever units is chosen

  16. 1 month ago
    Anonymous

    If it is a question of comparing numerical relationships (math) then it does not matter, because there are no units. If it is physics, the units are accounted for in the coefficients.
    >Dimensional analysis
    Works well to make sure you are doing calculations with units correctly; a quick way to detect certain mistakes. Should not be used to "reconstruct" equations because certain unitless functions (like exponentials) cannot be detected in this manner.
    >physics != math
    Math is a language. Physics is the rules by which matter, energy, and space operate. These are the only two actual subjects in known existence. All other subjects are a subset or combination of the two.
    >Bonus
    Maybe math is a subset of physics. If Plank's constant were large enough objects would become indistinct from one another. In that case simple things like 1+1=2 would lose meaning and the entirety of mathematics would need to be rewritten.

    • 1 month ago
      Cult of Passion

      >Math is a language.
      *Is* and the *representative of*.

      Fascinating.

    • 1 month ago
      Cult of Passion

      >In that case simple things like 1+1=2 would lose meaning and the entirety of mathematics would need to be rewritten.
      Frickin, this, and why Norman Wildberger rants about "Problems in the Foundations of Mathematics" like some ancient Greek ecentric.

  17. 1 month ago
    Anonymous

    Trying to conflate x, the number with a bunch of solid shapes and calling that arithmetic. You need to go back and study peano's axioms of arithmetic.

  18. 1 month ago
    Anonymous

    "the value of the cube volume of a quantity times three, minus the value of the square area of side length of said quantity times two, ..."
    there, wasn't that easy?
    you FRICKING ABOMINATION TO MANKIND, YOU FRICKING BABOON ANIMAL have a nice day IMMEDIATELY.

  19. 1 month ago
    Anonymous

    1/3x + 1/3x + 1/3x = 1
    3/3x = 1
    x = 1/1
    x = .9999999999

  20. 1 month ago
    Anonymous

    each one of those geometric shapes is actually just a collection of points.

    lines, squares, and cubes are not infinitely divisible.

    • 1 month ago
      Anonymous

      Only in a finite field

      • 1 month ago
        Anonymous

        all fields are finite, good try moron

        • 1 month ago
          Anonymous

          Quantum fields are not.

          • 1 month ago
            Anonymous

            quantum literally means discrete dumbass

          • 1 month ago
            Anonymous

            False. Quantum is Greek and means mysterious physics that has something to do with consciousness.

          • 1 month ago
            Anonymous

            it means discrete, quantum mechanics is discrete mechanics

          • 1 month ago
            Anonymous

            >spectrum of the position and momentum operators is continuous
            Consider yourself fact-checked.

  21. 1 month ago
    Anonymous

    look the definition for taylor series
    [math]f(x) = sum_{n=0}^{infty} frac{1}{n!} frac{d^nf}{dx^n}bigg_{x = x_0} [x - x_0]^n[/math]
    the function has units of [thing]. the derivative introduces units of [thing * x^-n] and is multiplied by the part raised to a power that has units of [x^n], so the series ends up having units of [thing].

  22. 1 month ago
    Anonymous

    He's right
    The only polynomials that show up in physics are data trend descriptions

    • 1 month ago
      Anonymous

      homie, pretty much anything called a Law is just the first order term in a taylor expansion of the real physics

      • 1 month ago
        Anonymous

        Name one example

  23. 1 month ago
    Anonymous

    x is unitless, not in units of length. It is more valid if you make each term into a line.

  24. 1 month ago
    Anonymous

    >So how can a polynomial mixing up volume, area and length make sense?
    It doesn't, because it's got nothing to do with dimensions. You can't have less than zero volume, or area, or length. You're attributing physical space to numbers when it makes no sense to do so.

  25. 1 month ago
    Anonymous

    they're all on R one though so the dimensions are the same.

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