Difference between r1.26 and the current
@@ -3,12 +3,16 @@
See also [[체,field]]
일반적인 algebra([[대수학,algebra]])에선
a * (b + c) = (a*b) + (a*c)는 성립하지만a + (b * c) = (a+b) * (a+c)는 아님!
But..
[[불_논리,Boolean_logic]]에서 and와 or은 서로 분배법칙을 만족? CHK
[[불_대수,Boolean_algebra]] [[불_논리,Boolean_logic]]에서 and와 or은 서로 분배법칙을 만족? CHK
a or (b and c) == (a or b) and (a or c)a and (b or c) == (a and b) or (a and c)
----
<<tableofcontents>>
= 분배법칙의 확장 =
$a(b+c+d)=ab+ac+ad$
@@ -54,7 +58,10 @@
complete_lattice and distributive_lattice ? chklattice { [[격자,lattice]] or [[래티스,lattice]] - cur. RR 래티스,lattice }
WtEn:lattice#Noun
7 "A partially ordered set([[부분순서집합,partially_ordered_set,poset]]) in which every pair of elements has a unique [[상한,supremum]] and a unique [[하한,infimum]]."
lattice_theory WtEn:lattice_theory
----
[[WpSimple:Distributive_property]]
@@ -72,5 +79,4 @@
AKA (드물게) '''배분법칙'''(다만 배분은 보통 allocation.)
상위: [[산술,arithmetic]] [[대수학,algebra]]
distributivity 분배성, distributive property 분배 성질, distributive law 분배 법칙
분배법칙, 배분법칙
분배법칙, 배분법칙
See also 체,field
일반적인 algebra(대수학,algebra)에선
a * (b + c) = (a*b) + (a*c)는 성립하지만
a + (b * c) = (a+b) * (a+c)는 아님!
But..
불_대수,Boolean_algebra 불_논리,Boolean_logic에서 and와 or은 서로 분배법칙을 만족? CHK
a or (b and c) == (a or b) and (a or c)
a and (b or c) == (a and b) or (a and c)
a * (b + c) = (a*b) + (a*c)는 성립하지만
a + (b * c) = (a+b) * (a+c)는 아님!
But..
불_대수,Boolean_algebra 불_논리,Boolean_logic에서 and와 or은 서로 분배법칙을 만족? CHK
a or (b and c) == (a or b) and (a or c)
a and (b or c) == (a and b) or (a and c)
2. left distributive vs. right distributive ¶
왼쪽 분배 vs 오른쪽 분배?
left distributive:
... left distributive right distributive
z·(x + y) = z·x + z·y
right distributive:(x + y)·z = x·z + y·z
다를 수도 있다, chk. 정확히 언제? 가환성(curr 교환법칙,commutativity)이 없을 때?... left distributive right distributive
4. REL ¶
관련:
이항연산,binary_operation
이항연산,binary_operation
distributivity는 이항연산 한 가지에 대한 연산의 성질인 교환성/결합성(curr. pages 교환법칙,commutativity, 결합법칙,associativity)과 달리 이항연산,binary_operation 두 가지에 대한? chk
그리고 그 둘의 순서가 중요 - 맨 위에 쓴 바와 같이.
그리고 그 둘의 순서가 중요 - 맨 위에 쓴 바와 같이.
5. MKL ¶
distributive_lattice - w
distributive lattice
DistributiveLattice = https://mathworld.wolfram.com/DistributiveLattice.html
distributive_lattice
Distributive_lattice = https://en.wikipedia.org/wiki/Distributive_lattice
분배_격자 = https://ko.wikipedia.org/wiki/분배_격자
https://encyclopediaofmath.org/wiki/Distributive_lattice
https://ncatlab.org/nlab/show/distributive lattice
distributive lattice
DistributiveLattice = https://mathworld.wolfram.com/DistributiveLattice.html
distributive_lattice
Distributive_lattice = https://en.wikipedia.org/wiki/Distributive_lattice
분배_격자 = https://ko.wikipedia.org/wiki/분배_격자
https://encyclopediaofmath.org/wiki/Distributive_lattice
https://ncatlab.org/nlab/show/distributive lattice
completely_distributive_lattice - w
completely distributive lattice
https://encyclopediaofmath.org/wiki/Completely_distributive_lattice
https://ncatlab.org/nlab/show/completely distributive lattice
complete_lattice and distributive_lattice ? chk
completely distributive lattice
https://encyclopediaofmath.org/wiki/Completely_distributive_lattice
https://ncatlab.org/nlab/show/completely distributive lattice
complete_lattice and distributive_lattice ? chk
lattice { 격자,lattice or 래티스,lattice - cur. RR 래티스,lattice }
lattice#Noun
lattice_theory7 "A partially ordered set(부분순서집합,partially_ordered_set,poset) in which every pair of elements has a unique 상한,supremum and a unique 하한,infimum."
Distributive_property
https://en.citizendium.org/wiki/Distributivity
Distributive_property
https://encyclopediaofmath.org/wiki/Distributivity
https://en.citizendium.org/wiki/Distributivity
Distributive_property
https://encyclopediaofmath.org/wiki/Distributivity