Difference between r1.2 and the current
@@ -1,6 +1,3 @@
WtEn:monotonicity
@@ -91,3 +88,37 @@
$m\lt n$ 일 때 $f(m)\lt f(n)$ : 순증가 strictly increasing
$m<n$ 일 때 $f(m)>f(n)$ : 순감소 strictly decreasing
}
$m<n$ 일 때 $f(m)>f(n)$ : 순감소 strictly decreasing
}
= countable monotonicity =
countable monotonicity
[[countable_monotonicity]] =,countable_monotonicity =,countable_monotonicity . countable_monotonicity
가산단조성?
https://mathworld.wolfram.com/CountableMonotonicity.html
"countable monotonicity"
Ggl:"countable monotonicity"
WtEn:countable_monotonicity ?
Up:
[[countability]] ? maybe [[가산성,countability]] (due to KmsE:countability ...)
[[단조성,monotonicity]]
''.... chkout : NdEn:countability Ndict:countability ''
= finite monotonicity =
finite monotonicity
[[finite_monotonicity]] =,finite_monotonicity =,finite_monotonicity . finite_monotonicity
유한단조성 ?
"finite monotonicity"
Ggl:"finite monotonicity"
Bing:"finite monotonicity"
WtEn:finite_monotonicity ?
[[유한성,finiteness]] ? + [[단조성,monotonicity]]
= wikiadmin =
History
[[Date(2023-08-05T08:51:42)]] note.txt에서 거의 그대로 복사해옴, 거기 모두 있는내용임.
[[Date(2023-11-15T12:19:05)]] page name confirmed via KmsE:monotonicity
단조- (adj.) 가 'monotone', 'monotonic' 둘 다 있음....어떻게??? 통일 or aka로 처리 .... pagename scheme TBD
4. 단조수렴정리 ¶
monotone_convergence_theorem
MCT
MCT
monotone convergence theorem
aka
monotonic_convergence_theorem
monotonic+convergence+theorem ??? chk ... monotonic convergence theorem
monotonic_convergence_theorem
monotonic+convergence+theorem ??? chk ... monotonic convergence theorem
7. monotonic(al)-, non-, strict 비교 정리 필요. ¶
참고 1
https://torbjorn.tistory.com/423 ; chk.
{
$\displaystyle m \le n$ 일 때 $\displaystyle f(m) \le f(n)$ : 단조증가 monotonically increasing = non-decreasing
$\displaystyle m \le n$ 일 때 $\displaystyle f(m) \ge f(n)$ : 단조감소 monotonically decreasing = non-increasing
https://torbjorn.tistory.com/423 ; chk.
{
$\displaystyle m \le n$ 일 때 $\displaystyle f(m) \le f(n)$ : 단조증가 monotonically increasing = non-decreasing
$\displaystyle m \le n$ 일 때 $\displaystyle f(m) \ge f(n)$ : 단조감소 monotonically decreasing = non-increasing
$\displaystyle m\lt n$ 일 때 $\displaystyle f(m)\lt f(n)$ : 순증가 strictly increasing
$\displaystyle m<n$ 일 때 $\displaystyle f(m)>f(n)$ : 순감소 strictly decreasing
}
$\displaystyle m<n$ 일 때 $\displaystyle f(m)>f(n)$ : 순감소 strictly decreasing
}
8. countable monotonicity ¶
countable monotonicity
countable_monotonicity =,countable_monotonicity =,countable_monotonicity . countable_monotonicity
가산단조성?
countable_monotonicity =,countable_monotonicity =,countable_monotonicity . countable_monotonicity
가산단조성?
9. finite monotonicity ¶
finite monotonicity
finite_monotonicity =,finite_monotonicity =,finite_monotonicity . finite_monotonicity
유한단조성 ?
finite_monotonicity =,finite_monotonicity =,finite_monotonicity . finite_monotonicity
유한단조성 ?
10. wikiadmin ¶
History
2023-08-05 note.txt에서 거의 그대로 복사해옴, 거기 모두 있는내용임.
2023-11-15 page name confirmed via monotonicity
2023-08-05 note.txt에서 거의 그대로 복사해옴, 거기 모두 있는내용임.
2023-11-15 page name confirmed via monotonicity