[ 3 / biz / cgl / ck / diy / fa / ic / jp / lit / sci / vr / vt ] [ index / top / reports ] [ become a patron ] [ status ]
2023-11: Warosu is now out of extended maintenance.

/sci/ - Science & Math

Search:


View post   

>> No.15072948 [View]
File: 10 KB, 1352x882, not uniformly continuous.png [View same] [iqdb] [saucenao] [google]
15072948

>>15072924
>Stitching two u.c. functions on connected intervals makes a u.c. function if the entire function is continous, so it would be continous.
That's true for a finite number of stitchings, but it fails for an uncountable number, since the required epsilons can go to infinity.

I have taken the time to draw the function for M=1 so hopefully you can get it now. It doesn't sit snuggly below [math]f(x) = x[/math] because the grid is fucked, but you can count spaces.

Navigation
View posts[+24][+48][+96]