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Mar
31
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?
Mar
31
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 ?
Mar
31
comment question about the oscillation of a function at a point
can the limit be infinite ?
Mar
31
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?
Mar
31
asked question about the oscillation of a function at a point
Mar
30
asked Continuity of a function on a box $Q$ implies integrability
Mar
24
accepted Geometry question regarding existence of a quadrilateral
Mar
23
accepted graph of a continuous function is closed
Mar
22
asked Discontinuity of the characteristic function
Mar
22
asked graph of a continuous function is closed
Mar
20
comment If you toss $1000$ fair coins $10$ times each, what is the probability the *some* coin will get $10$ heads?
pure genius Brian.
Mar
20
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/…
Mar
17
revised Geometry question regarding existence of a quadrilateral
added 309 characters in body
Mar
17
comment Showing a set is bounded and closed.
At most $n$ ???
Mar
17
asked Showing a set is bounded and closed.
Mar
15
accepted Optimization problem for several variables calculus
Mar
15
asked Geometry question regarding existence of a quadrilateral
Mar
15
comment Optimization problem for several variables calculus
want to maximize $8xyz$ ot $(xyz)^2$ ?
Mar
13
comment Notation in derivation theorem
this book is very confusing
Mar
13
asked Optimization problem for several variables calculus