Mathematical proof — 60 discussions

  1. A

    Undergrad Is there a mathematical proof that the integral is the antiderivative?

    Is there a mathematical proof that can prove that the integral is the antiderivative?
    • anantchowdhary
    • Thread
    • Antiderivative Integral Mathematical Mathematical proof Proof
    • Replies: 17
    • Forum: Calculus
  2. D

    Mathematica Mathematical proof of the Lorentz transformation

    Hi, I have a pretty in depth understanding of special relativity. Recently I have been searching for mathematical proof of the Lorenz transformation. I found some information about it, but to tell the truth I didn't understand much of it. Maybe one of you guys can shed some light on the proof...
  3. B

    Mathematica How do you write a mathematical proof?

    I've figured out a faster way of doing simple mixture problems; how do I mathematically prove it consistantly works? Edit: Is my question badly worded somehow? 30 people have looked at this; 0 have replied. Kind of awkward, but if you don't know what I'm trying to ask, or I need to give...
  4. D

    Mathematica A question concerning density, mathematical proof.

    Current science describes a solid, liquid, and gas, as having different densities. Solids have the highest density, then comes liquids, and finally gases. They say in between the particles lies "empty space." Can someone please describe to me the properties of "empty space" because as fas as I...
  5. D

    Mathematica Does infinite divisibility of matter imply no empty space exists?

    Current science describes a solid, liquid, and gas, as having different densities. Solids have the highest density, then comes liquids, and finally gases. They say in between the particles lies "empty space." Can someone please describe to me the properties of "empty space" because as fas as I...
  6. C

    Mathematica Prove that if m² is 4k+3 then m is 4k+3

    I'm given the statement: if m^2 is of the form 4k+3, then m is of the form 4k+3. I don't even know how to begin proving this. I'm guessing by contraposition.
  7. C

    Mathematica If m² is of the form 4k+3, then m is of the form 4k+3

    I'm given the statement: if m^2 is of the form 4k+3, then m is of the form 4k+3. I don't even know how to begin proving this. I'm guessing by contraposition.
  8. C

    Mathematica Proving that if a-3b is even then a+b is even

    We are given the following statement: The universe is all integers. If a-3b is even, then a+b is even. I began off with saying that 3 cases exist: a is odd and b is even, a is even and b is odd, both a and b are odd, and both a and b are even. After this point I got really confused and lost...
  9. B

    Graduate Proving $\Psi$ and $\Psi'$ Normalizable: A Mathematical Proof

    I am trying to prove that \frac{d\langle p \rangle}{dt} = \langle -\frac{\partial V}{\partial x} \rangle I am done if I can just prove that \left[ \Psi^*\frac{\partial^2 \Psi}{\partial x^2} \right]_{-\infty}^{\infty} = 0 \left[ \frac{\partial \Psi}{\partial x} \frac{\partial...
  10. BasketDaN

    Mathematica Proving that 45 degrees gives maximum projectile range

    Does anybody know how to mathematically prove that an object launched at a 45 degree angle will have the largest possible displacement?