1 нояб. 2013 г. · Intuitively uniform continuity means your function can't get infinitely steeper on (a,b) the way 1/x does on (0,1). Steepness doesn't only mean ...

27 мая 2019 г. · Uniform continuity simply means the turning of the graph is uniform. More intuitively, the sharpness of the turns are somewhat limited. enter ...

27 янв. 2014 г. · As observed by Siminore, continuity can be expressed at a point and on a set whereas uniform continuity can only be expressed on a set.

24 мар. 2013 г. · If your function grows faster than every linear function, it cannot be uniformly continuous. You can apply this intuition to similar functions ...

23 нояб. 2010 г. · One possible intuition for uniform continuity is that a function shouldn't oscillate arbitrarily wildly. If the function is differentiable e.g. ...

24 апр. 2015 г. · Uniform: A curve is uniformly continuous, if it for any given height 2ε is possible to find a width 2δ of a window that works for the entire ...

8 июн. 2011 г. · If f is continuous on a closed bounded interval, it is uniformly continuous there. This is a consequence of the Heine-Borel theorem.

30 апр. 2015 г. · It is a theorem in analysis that all functions that are continuous on a closed interval (or more generally, a compact set) are also uniformly continuous on ...

5 мая 2018 г. · Uniform continuity gives us an epsilon first, and picks an ϵ interval/ball inside f(A), and doesn't tell us what point it is centered at.

3 мар. 2017 г. · The function f is uniformly continuous on an interval A if for every ϵ>0 there is some δ>0 such that, for all x and y in A, if |x−y|<δ, then |f( ...