결합,joint


and, ∩, · 과 연관되는 경우가 많은데 정확한 관계 서술 TBW

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joint의 반대: disjoint

반댓말은 분리,disjoint
disjoint는 분리 외에 서로소, 서로 만나지 않는, 배반 등으로 번역됨. (kms)
(tmp) kms disjoint => https://www.kms.or.kr/mathdict/list.html?key=ename&keyword=disjoint

(확률,probability에서) $n$ 개의 disjoint 사건,event $A_1,\cdots,A_n$ 이 있을 때,
$P(A_1\cup\cdots\cup A_n)=P(A_1)+\cdots+P(A_n)$
(이것은 확률공리의 세번째 공리.)

disjoint_set //local textfile 에 만들어 지는 중
{
두 집합,set의 교집합(intersection)이 공집합이면, 즉
$A\cap B=\emptyset$
이면, 두 집합의 관계를 disjoint 혹은 mutually_exclusive라고 한다.

WpEn:Disjoint-set_data_structure의 첫 문장을 보면, disjoint_sets = non-overlapping sets. 겹치지 않는. 겹치는 부분이 없는.

두 집합의 교집합,intersection이 공집합,empty_set인 것과 equivalent.

//wpen
두 집합에 공통인 원소,element가 없으면 disjoint sets라고 한다.
집합족,set_family로 일반화,generalization하면 ...(후략)

//AoPS
Two sets are said to be disjoint if they have no element in common. .... intersection이 공집합,empty_set.
https://artofproblemsolving.com/wiki/index.php/Disjoint_sets







disjoint_union
{
분리합집합 또는 서로소합집합 (wpko)




분할,partition은 모두 서로 disjoint인 동시에 모두 합해서 전체집합이 되는 경우.

여러 사건의 결합 식은 여러 사건의 독립(독립성,independence#s-2) 식과 비교될 수 있음. (저 곳 참조)

https://planetmath.org/disjoint (집합의 disjoint만 언급)

pairwise_disjoint = mutually_disjoint (pagename TBD)
{
번역은? 서로분리? 상호분리?

두 집합 A, B가 A∩B=∅이면 둘은 disjoint.

여러 집합 A1, A2, …가 Ai∩Aj=∅인 경우 이 집합들은 pairwise disjoint.

분할,partition과의 관계:
집합 A에 대해, 집합 P1, P2, …가 pairwise disjoint하고
$\bigcup_{i=1}^{\infty} P_i = A$
인 경우 이 집합들은 A의 분할,partition. (집합의_분할,set_partition)



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Misc

(논외) adjoint는 수반, 딸림 으로 번역됨. 딸림행렬,adjoint_matrix 등.

한국어 단어 '결합' 관련:

단어 '결합'은 화학에선 bond. 화학결합,chemical_bond

단어 '결합'은 수학에선 단어 'combination'의 뜻에 따라, 번역으로 조합,combination 말고 결합,combination으로 번역될 수 있음 - curr at 선형결합,linear_combination#s-4

혹시 pagename 명사형을 엄격하게 강제한다면 Google:jointness Google:disjointness가 더 적합한 단어인지?

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