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# Euler

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 Mar31 comment question about the oscillation of a function at a point You are right! I feel so stupid. However, You mentioned that it is monotone decreasing. I think it is increasing? Mar31 comment question about the oscillation of a function at a point Sorry to bother you Professor Shifrin, but I still don't see why $\omega( \delta )$ is bounded below. Can you explain a little bit more ? Mar31 comment question about the oscillation of a function at a point can the limit be infinite ? Mar31 comment question about the oscillation of a function at a point Well if $\delta < \delta'$, then $B(x_0, \delta) \subseteq B(x_0, \delta ' )$ taking sups, we have $\omega(\delta) < \omega( \delta')$ ? so $w$ is monotone. but how can this tells me that the limit exists? Mar31 asked question about the oscillation of a function at a point Mar30 asked Continuity of a function on a box $Q$ implies integrability Mar24 accepted Geometry question regarding existence of a quadrilateral Mar23 accepted graph of a continuous function is closed Mar22 asked Discontinuity of the characteristic function Mar22 asked graph of a continuous function is closed Mar20 comment If you toss $1000$ fair coins $10$ times each, what is the probability the *some* coin will get $10$ heads? pure genius Brian. Mar20 comment Question about minimizing points in a line thank you very much for your time. If you want 200 points, here is another problem that involves using the lagrange method. math.stackexchange.com/questions/713435/… Mar17 revised Geometry question regarding existence of a quadrilateral added 309 characters in body Mar17 comment Showing a set is bounded and closed. At most $n$ ??? Mar17 asked Showing a set is bounded and closed. Mar15 accepted Optimization problem for several variables calculus Mar15 asked Geometry question regarding existence of a quadrilateral Mar15 comment Optimization problem for several variables calculus want to maximize $8xyz$ ot $(xyz)^2$ ? Mar13 comment Notation in derivation theorem this book is very confusing Mar13 asked Optimization problem for several variables calculus