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 ...

24 мар. 2013 г. · A function is uniformly continuous if, for every (possibly infinite/infinitesimal) x and y, if x−y is infinitesimal, then f(x)−f(y) is infinitesimal.

27 янв. 2014 г. · First of all, continuity is defined at a point c, whereas uniform continuity is defined on a set A. That makes a big difference.

16 мая 2017 г. · Intuitively, uniform continuity means that the function cannot get too steep. As slope increases, the ratio of change in y to change in x ...

24 апр. 2015 г. · If E is a bounded, non-empty set of real numbers and f:E→R is a continuous function, then f is uniformly continuous if and only if there exists ...

30 апр. 2016 г. · A uniformly continuous function is that it doesn't accelerate without bound and then stay there as the function itself increases (or decreases) without bound.

6 дек. 2013 г. · The property of uniformly continuous means that the function has a maximal steepness at each fixed scale. If you compare f( ...

18 окт. 2014 г. · I understand the definition of uniform continuity, but wanted some suggestions to prove that a function is or isn't uniformly continuous.

9 дек. 2013 г. · A continuous function on a closed, bounded interval is uniformly continuous -- even tho in this case the derivative does become unbounded.

20 янв. 2014 г. · If g is a continuous function on (a,b) then g is uniformly continuous on (a,b) if and only if it is possible to define values g(a) and g(b) at ...