관계,relation

관계,relation (rev. 1.17)

정의: 집합,set(들)의 cartesian product(곱집합,product_set, VG: 곱집합,product_set )의 부분집합,subset. (mw)

Sub:

1 unary_relation ?


(유한한 수) finitary_relation
finitary relation
WpEn:Finitary_relation
Ggl:finitary relation
"finitary relation"

그럼 infinitary_relation 라는 것도 존재?
∞ infinitary_relation
0인 경우도 존재.
https://en.wikipedia.org/wiki/Relation_of_degree_zero
"relation of degree zero, 0-ary relation, or nullary relation"
// arity / 디그리,degree / 영,zero

....



satisfaction_relation =,satisfaction_relation . satisfaction_relation
{
satisfaction relation
https://planetmath.org/satisfactionrelation
Ndict:satisfaction relation
Ggl:satisfaction relation

REL
satisfaction =,satisfaction . satisfaction
} // satisfaction_relation


many-to-many_relation =,many-to-many_relation . many-to-many_relation
{
다대다 관계?


relational_structure =,relational_structure . relational_structure
{
relational structure
WtEn:relational_structure (x 2023-08-15)
https://xlinux.nist.gov/dads/HTML/relational.html


https://proofwiki.org/wiki/Definition:Relational_Structure
aka: relational_system =,relational_system . relational_system { relational system AKA: relational_structure. https://mathworld.wolfram.com/RelationalSystem.html Ggl:relational system }
endorelation 으로 정의함. 그게뭐야? not in ndict. 구글해보니 aka homogeneous_relation.

https://ncatlab.org/nlab/show/relational structure


homogeneous_relation =,homogeneous_relation . homogeneous_relation
endorelation =,endorelation . endorelation
{
homogeneous relation
AKA
endorelation

"on a set X is a binary_relation between X and itself" (we)
즉 동일 집합간 이항관계,binary_relation - cartesian product $\displaystyle X\times X$ 의 subset.


symmetric_relation =,symmetric_relation =,symmetric_relation . symmetric_relation
WtEn:symmetric_relation x(2023-08-15)
https://en.wikipedia.org/wiki/Symmetric_relation
symmetric relation
대칭관계 ?
KmsE:symmetric relation
Ggl:symmetric relation
"symmetric relation"
Up: 대칭성,symmetry


relation_symbol =,relation_symbol =,relation_symbol . relation_symbol
{
relation symbol
aka: = predicate_symbol = predicate_letter



Bing:relation symbol
Ggl:relation symbol
"relation symbol"
}


reflection_relation
reflection relation
https://mathworld.wolfram.com/ReflectionRelation.html

translation_relation
translation relation
https://mathworld.wolfram.com/TranslationRelation.html
짧고 쉬움

recurrence_relation
recurrence relation
https://mathworld.wolfram.com/RecurrenceRelation.html
REL
"When ..., known as recurrence_equation { https://mathworld.wolfram.com/RecurrenceEquation.html } s, or sometimes difference_equation s"
(VG: 점화식,recurrence_relation exists .... 다만 페이지를 점화관계,recurrence_relation recurrence_equation로 나눌 생각을 나도 하는 중.)

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

분야: relation theory ? relational theory ?

relation theory
"relation theory"

Up:
relation_theory =,relation_theory . relation_theory
{
관계론 관계이론
WtEn:relation_theory
KmsE:relation



... aka relational_theory ?
2023-08-15:
WpEn:Relational_theory - No, [https]nlab에서 여기로 링크했으나 아님.
WpEn:Relation_theory - 페이지없음.

MKLINK

arity

arity =,arity . arity
{
WpEn:Arity - "is the number of arguments or operands taken by a function, operation or relation" 즉 함수,function 펑션,function 연산,operation 관계,relation가 가지는 성질. 자료구조,data_structure or ADT : 배열,array등도?

0 nullary
1 unary
2 binary
3 ternary
일반적으로 n-ary


비슷? cmp.