@fossilesque@mander.xyzM to Science Memes@mander.xyzEnglish • 9 months agoScience memesmander.xyzimagemessage-square20fedilinkarrow-up1264cross-posted to: mathmemes@lemmy.blahaj.zone
arrow-up1264imageScience memesmander.xyz@fossilesque@mander.xyzM to Science Memes@mander.xyzEnglish • 9 months agomessage-square20fedilinkcross-posted to: mathmemes@lemmy.blahaj.zone
minus-squareKogasalinkfedilinkEnglish1•9 months agoThe assumption is that the size decreases geometrically, which is reasonable for this kind of self similarity. You can’t just say “less than harmonic” though, I mean 1/(2n) is “slower”.
minus-square@eestileib@sh.itjust.workslinkfedilinkEnglish2•9 months agoEh, that’s just 1/2 of the harmonic sum, which diverges.
minus-squareKogasalinkfedilinkEnglish2•9 months agoYes, but it proves that termwise comparison with the harmonic series isn’t sufficient to tell if a series diverges.
minus-square@eestileib@sh.itjust.workslinkfedilinkEnglish3•9 months agoVery well, today I accede to your superior pedantry. But one day I shall return!
The assumption is that the size decreases geometrically, which is reasonable for this kind of self similarity. You can’t just say “less than harmonic” though, I mean 1/(2n) is “slower”.
Eh, that’s just 1/2 of the harmonic sum, which diverges.
Yes, but it proves that termwise comparison with the harmonic series isn’t sufficient to tell if a series diverges.
Very well, today I accede to your superior pedantry.
But one day I shall return!