Michael Smith
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 Feb28 comment Tough contest problem Alternative just looking at the imaginary axis putting ix for x and using cosh(x) = cos(ix) and i sinh(x) = sin(ix). I will play around with this a bit. Feb28 comment Tough contest problem Cool use of Picard's Theorem! Makes sense to me. I was thinking of converting the sin() and cos() to expressions in exp()s but it gets pretty complex due to the nesting. Feb27 comment Tough contest problem I know the question was for real x. I am curious if we allow complex x if there are solutions. Jan21 answered Why would a calculator have base 5? Nov20 answered Two people are looking for each other. Is it faster for both to actively search, or for one to search while the other stays still? Nov16 revised Intuition for a real line vs. a “hyperreal line” added 78 characters in body Nov16 answered Intuition for a real line vs. a “hyperreal line” Jul23 answered Do groups, rings and fields have practical applications in CS? If so, what are some? May31 awarded Yearling May23 comment Fractional Derivative Implications/Meaning? You are right it can have a geometric interpretation just as the single integral can be interpreted as the area under the curve. And it is not a local geometric property as the tangent is. I am having trouble reading the small print in your question and if you are asking can you have arbitrary real numbers in the power of the derivative operator then I believe the answer is yes. Actually I have read you can even put complex numbers in there! Feb27 comment Fractional Derivative Implications/Meaning? I added to my answer to say why it is non-local Feb27 revised Fractional Derivative Implications/Meaning? added non-local reason Feb26 answered Necessary or sufficient conditions for rationality of a limit of a sequence of rational numbers Feb26 answered Fractional Derivative Implications/Meaning? Feb13 comment To what extent is the taylor polynomial the best polynomial approximation? @5PM Thanks - that makes sense. I had misread the formula as f(k) with k = 0 to n. Works for f = p giving zero norm. Feb12 comment To what extent is the taylor polynomial the best polynomial approximation? I may be misunderstanding something here but if I set f = p in your metric the first term is zero but the second term is not zero. But isn't the norm of 0 supposed to be zero? Feb6 answered How much Math do you REALLY do in your job? Dec5 comment Difference of differentiation under integral sign between Lebesgue and Riemann In your right hand side is it supposed to be df/dx(x,t)dt evaluated at x = x0 and not df/dx(x0,t)? Nov22 answered Show that $\mathbb{Q}$ is dense in the real numbers. (Using Supremum) Nov20 comment What do we lose passing from the reals to the complex numbers? Does losing ordering define the complex numbers? Ie is there only one field (strictly) containing the reals that can not be ordered but is complete?