Discussion
Wed Apr 22
10:23
Michel Marcus: see https://en.wikipedia.org/wiki/Monotonic_function ... it seems EN says monotonically increasing whereas in FR we say monotone croissante
10:28
Bernard Schott: For Wolfram: https://mathworld.wolfram.com/MonotoneIncreasing.html , it is "monotone increasing".
11:12
Michel Marcus: ok then
COMMENTS
Lim_{n->oo} a(n) = oo because a(n) > sqrt(prime(n)), [see the reference], but this sequence is not monotone [see the reference]increasing.
Discussion
Wed Apr 22
10:18
Bernard Schott: I don't have to add anything in this draft, I think that it is ready for approval, thanks.
Discussion
Tue Apr 21
04:31
Bernard Schott: As the limit is infinity, the sequence cannot be decreasing; but monotone is right also, merci.
COMMENTS
Lim_{n->oo} a(n) = oo because a(n) > sqrt(prime(n)), but this sequence is not increasing monotone [see the reference].
Discussion
Tue Apr 21
04:29
Bernard Schott: Modified non increasing -> non monotone, both are true, ok.
Discussion
Tue Apr 21
03:55
Michel Marcus: is not increasing : rather ? is not monotone
04:05
Bernard Schott: As a(5) = 16 > a(6) = 10, it is sufficient to say that this sequence is not increasing. (There are many other terms as a(10) = 42 > a(11) = 31...). Yes, it is also not monotone, but not increasing is stronger here.
04:14
David A. Corneth: not monotone is stronger right? as not monotone tells you not increasing AND not decreasing.
04:20
Bernard Schott: Ah Ah, stronger here because the limit of this sequence is infinity.
COMMENTS
Lim_{n->oo} a(n) = oo because a(n) > sqrt(prime(n)) , but this sequence is not increasing [see the reference].
COMMENTS
Lim_{n->infinityoo} a(n) = infinity oo because a(n) > sqrt(prime(n)) [see the reference].
