Recent content by Ted Sand

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    Understanding the Proof: Integrals and Constant Functions Explained

    y' = f'(x) and y = f(x) They state: let g(x) be any other integral of y' = f'(x) This means g'(x) = y' = f'(x) so g(x) = int(y')dx g(x) = int(f'(x))dx g(x) = f(x) + constant To clarify your proof: assign a new function w(x) such that it's derivative w'(x) = f'(x) - g'(x) but f'(x) =...
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    What level of math is needed to truly understand 20th century physics?

    There are elementary but important parts of quantum physics that need only a little bit of algebra, for example the photoelectric effect, wave-particle duality, electron energy levels and explanation of spectral lines. Some amazing science and applications are based on those concepts.
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    Proving Newton's Law of Universal Gravitation

    When you write F = (k1)(m1)(m2) where 'k1' is a constant, you are assuming that you keep everything else constant and only may vary the masses. What if I define k1 = G/r^2, where G is a constant and r is a constant? If you write F = (k2)/r^2 where 'k2' is a constant, you are assuming you may...
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    Finding Re (α + α^2 + α^3 + α^4 + α^5)

    Have you tried using Euler's formula: e^ix = cosx + isinx