aka
집합set

REL
집합론,set_theory

Sub:
empty_set =,empty_set . empty_set
공집합,empty_set - 공집합,empty_set
{
빈집합 은 어떨지?

empty_set

http://www.gabormelli.com/RKB/Empty_Set

}
nonempty_set =,nonempty_set .
non-empty_set =,non-empty_set .
{
nonempty set
non-empty set
비공집합?
empty_set 이 빈집합이라면 이건 안빈집합 ?
http://www.gabormelli.com/RKB/Non-Empty_Set
}
singleton / single member set / degenerate set 같은거? CHK
{
번역?
singleton
singleton
singleton set
singleton set 번역

http://www.gabormelli.com/RKB/Degenerate_Set (Redirected from Single Member Set)

Singleton_(mathematics)
= https://en.wikipedia.org/wiki/Singleton_(mathematics)
= https://en.wikipedia.org/wiki/Singleton_(mathematics)
(Redirected from Singleton_set )
aka "unit set or one-point set"

compare degenerate_set degenerate_sequence degenerate_interval .... (VG srch degenerate(http://tomoyo.ivyro.net/123/wiki.php/FindPage?action=fullsearch&value=degenerate&context=20&case=1))
}
null_set
{
널집합 ? 널,null
영집합 이라는 번역도 보임.
empty_set 과 동의어일 때가 많으나 측도론에선 아님.
}
//이상 cardinality에 따라? 분류나 순서배열을 지금 할 필요는 없지만 ..

부분집합,subset
superset - pagename??

가산집합,countable_set - 유한집합 or 가부번집합
유한집합,finite_set
{
http://www.gabormelli.com/RKB/Finite_Set
}
가부번집합,denumerable_set
비가산집합,uncountable_set
{
kms uncountable => https://www.kms.or.kr/mathdict/list.html?key=ename&keyword=uncountable
"uncountable set 셀 수 없는 집합, 비가산집합"

}
무한집합,infinite_set
가측집합,measurable_set

열린집합,open_set
닫힌집합,closed_set
clopen_set
{
열린닫힌집합 or 개폐집합 (wk) // 열린닫힌집합 (redir.)
https://en.wikipedia.org/wiki/Clopen_set
}
보렐_집합,Borel_set - 보렐_집합,Borel_set
{
열린집합,open_sets들로부터 가산합집합 / 가산교집합 / 차집합 연산을 가산 번 반복하여 만들 수 있는 집합이 Borel set이다. (wpko)

MKLINK
보렐_위계,Borel_hierarchy

보렐_집합
}
사영집합,projective_set
{

사영_집합
}

곱집합,product_set

crisp_set =,crisp_set . crisp_set
전통적인, 일반적인 집합. (바로아래 참조)
crisp_set

rough_set =,rough_set . rough_set
{
rough set
거친집합 ??
여기서 말하는 일반적인 집합은 crisp set.
rough_set
(we)"In CS, a rough set is a formal approximation of a crisp_set (i.e., conventional set)
in terms of a pair of sets which give the lower and the upper approximation of the original set.
In the standard version of rough set theory (Pawlak 1991), the lower- and upper-approximation sets are crisp_set s,
but in other variations, the approximating sets may be 퍼지집합,fuzzy_sets."
https://en.wikipedia.org/wiki/Rough_set
} // rough set rough set

퍼지집합,fuzzy_set =퍼지집합,fuzzy_set =,fuzzy_set . fuzzy_set
{
fuzzy set
fuzzy_set = https://en.wiktionary.org/wiki/fuzzy_set

MKL
퍼지함수,fuzzy_function
퍼지논리,fuzzy_logic ? =,fuzzy_logic =,fuzzy_logic . fuzzy_logic
"fuzzy set"
fuzzy+set

Up: 퍼지,fuzzy 집합,set
}

derived_set =,derived_set =,derived_set . derived_set
{
derived set

derived set

derived_set ?

MKL: limit_point perfect_set accumulation_point { tmp see 집적점 }
https://mathworld.wolfram.com/DerivedSet.html
https://proofwiki.org/wiki/Definition:Derived_Set
https://encyclopediaofmath.org/wiki/Derived_set
Derived_set_(mathematics)

"derived set"
derived set
} // derived set

perfect_set =,perfect_set . perfect_set
{
perfect set

perfect_set ? pppppppppppppssssssssss

perfect set
MKL: derived_set
https://encyclopediaofmath.org/wiki/Perfect_set
perfect set
perfect set}

VG: 순서집합,ordered_set - not yet
순서집합,ordered_set =순서집합,ordered_set =,ordered_set . 순서집합 ordered_set
{
ordered set
순서집합 (ordered set)

ordered_set

Sub:

well-ordered_set
well-ordered set
"a totally ordered set in which every nonempty subset has a least member."(pm)
https://planetmath.org/wellorderedset
https://mathworld.wolfram.com/WellOrderedSet.html
well-ordered set
( well_order / well_ordering )

totally_ordered_set
totally ordered set
linearly_ordered_set
linearly ordered set
//semitwin: https://planetmath.org/totalorder
https://mathworld.wolfram.com/TotallyOrderedSet.html
totally ordered set
Up: ( total_order / total_ordering / linear_order / linear_ordering / totally_ordered a. / linearly_ordered a. ) { https://planetmath.org/linearlyordered
}

partially_ordered_set or poset
=,partially_ordered_set =,poset .
{
partially ordered set (or poset)
https://mathworld.wolfram.com/PartiallyOrderedSet.html
Up: ( partial_order / partial_ordering ) { https://mathworld.wolfram.com/PartialOrder.html }
}

Mandelbrot_set =,Mandelbrot_set . Mandelbrot_set
{
망델브로 집합
Mandelbrot_set
Mandelbrot set

간단한 복소평면,complex_plane{ complex plane, Argand diagram https://namu.wiki/w/복소평면 }의 각 복소수,complex_number들이 간단한 recurrence_relation을 거쳐 발산,divergence하는가 수렴,convergence하는가에 따라 색칠하면 매우 복잡한......? CHK

https://namu.wiki/w/망델브로 집합
Mandelbrot set
Mandelbrot 집합
Mandelbrot set
"Mandelbrot set"
프랙털,fractal { rel 하우스도르프_차원,Hausdorff_dimension }
}

Julia_set =,Julia_set . Julia_set
{
쥘리아 집합
줄리아 집합
Julia set

MKL Fatou_set =,Fatou_set . Fatou_set { Fatou_set Fatou_set Fatou 집합 }

Julia_set
Julia set
Julia 집합
fractal
}

bounded_set
{
bounded_set
}

기약집합,irreducible_set - w
{
=,irreducible_set . irreducible_set
irreducible_set

}

상집합,upper_set upset
하집합,lower_set downset?
https://ko.wikipedia.org/wiki/상집합
upper_set
lower_set
상집합 하집합

.............. ADDHERE

등위집합,level_set or 레벨집합,level_set - curr at 등위곡선,level_curve

집합연산,set_operation