If $f$ is a homeomorphism on $[0,1]\to[0,1]$,then I need to show existance of a sequence of polynomias $p_n(x)$ such that $p_n\to f$ uniformly on $[0,1]$ and each $p_n$ is also a homeomorphism. Thanks for help
Suppose I roll a ball (without friction) down the passage and up a ramp at the end. If I release the ball with speed $v$ it acquires kinetic energy $T = (1/2) M v^2$ and, by conservation of energy. when it reaches the ramp it rises to a height $ h = T/Mg = (1/2g)(v_{initial}^2 - v_{final}^2 )$ wh...
Sometimes a question is asked under a perfectly suitable tag, but is given an answer which is addresses respects strongly related to other tags. What should be the proper etiquette regarding retagging the question? Obviously when there are many answers addressing the question within the confin...
Recently, I gave a solution to a complex analysis problem that avoided the standard complex analytic tools, but relied on a property of the modified Bessel function of the first kind. I bet this happens quite often: someone proposes a question, tagging it accordingly to the area of mathematics i...
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