Mar 1, 2021 · The function itself obviously can't have jump discontinuities. The fact that its derivative can't have jump discontinuities is an entirely different thing.

Dec 22, 2012 · I would like to prove that the number of simple jump discontinuities of any function is countable. Can someone point me some material where the proof is or explain the proof here? Thanks.

Mar 25, 2024 · From these equations you can derive the jump discontinuity of $\partial_xG$ and $\partial_x\tilde {G}$ at $x=t$ by integrating their LHS and RHS from $t-\epsilon$ to $t+\epsilon$ and …

Feb 9, 2019 · Abel means of function $f$ at a jump discontinuity Ask Question Asked 7 years, 2 months ago Modified 6 years, 5 months ago

Oct 29, 2018 · Monotonic function only has jump discontinuities Ask Question Asked 13 years, 11 months ago Modified 2 years, 4 months ago

To copper.hat: This is very strange. What you mean to say is that any function which satisfies intermediate value theorem can't have jump discontinuity. This is plain wrong. However if we add the …

Mar 7, 2019 · function only contains jump discontinuity but is not piecewise continuous Ask Question Asked 7 years, 1 month ago Modified 7 years, 1 month ago

Dec 1, 2025 · I am independently learning calculus from "Calculus, Early Transcendentals" 6th Edition by James Stewart. This pertains to section 5.3 "The Fundamental Theorem of Calculus", exe...

Integration by Parts with a Jump Discontinuity Ask Question Asked 13 years, 5 months ago Modified 3 years, 9 months ago

Feb 22, 2016 · Informally, a jump-type discontinuity is a superposition of a jump discontinuity and possibly an essential discontinuity that is not too wild. Looking at jump-type discontinuities instead of …