Pretty amazing visualization of what the zeta function is by Grant Sanderson.
https://www.youtube.com/watch?v=sD0NjbwqlYw His videos are mathematically grounded and incredibly communicative in the ways that they use animation and graphs. Cheers, bob > On May 16, 2018, at 9:45 AM, Brian Schott <[email protected]> wrote: > > Pepe, > > I was able to compare the "domain"-induced viewrgb with the wikipedia > version and I see the difference you noted. > Was that example an attempt at addressing my question about where lines of > finite length can be drawn for this case? > I ask that because you used the phrase "at that line". > > > On Tue, May 15, 2018 at 6:50 PM, Jose Mario Quintana < > [email protected]> wrote: > >> I am glad to hear that it runs on JQt/Linux. It also seems to run on JHS >> (at least it works with a Kindle Paperwhite 3 running on JHS/Linux >> (BusyBox) using a custom J interpreter). >> >> You might find the following clumsy verb useful, >> >> domain=. |.@|:@({.@[ + ] *~ j./&i.&>/@+.@(1j1 + ] %~ -~/@[))&>/ >> >> It produces the vertices of a square grid corresponding to (the lower and >> upper points of) a given complex interval and resolution; for example, >> >> In particular, >> >> viewrgb 12 ccEnhPh zetahat"0 domain _20j_30 20j30 ; 0.1 >> >> reproduces, to some extent, the first graph on the Wikipedia page for the >> Riemann zeta function. The leftmost section of the graph produced by J >> looks suspicious and might indicate that Ewart's default approximation >> (zetahat) breaks down at that point (or rather, at that line). >> >> >> >> > ---------------------------------------------------------------------- > For information about J forums see http://www.jsoftware.com/forums.htm ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm
