@[email protected]M to Science [email protected]English • 5 months agoScience memesmander.xyzimagemessage-square20fedilinkarrow-up1254arrow-down113cross-posted to: [email protected]
arrow-up1241arrow-down1imageScience memesmander.xyz@[email protected]M to Science [email protected]English • 5 months agomessage-square20fedilinkcross-posted to: [email protected]
minus-squareKogasalinkfedilinkEnglish1•5 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@[email protected]linkfedilinkEnglish2•5 months agoEh, that’s just 1/2 of the harmonic sum, which diverges.
minus-squareKogasalinkfedilinkEnglish2•5 months agoYes, but it proves that termwise comparison with the harmonic series isn’t sufficient to tell if a series diverges.
minus-square@[email protected]linkfedilinkEnglish3•5 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!