Talaksan:Venn0010.svg

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Buong resolusyon((Larawang SVG, tinatayang 380 × 280 mga pixel, laki ng talakasan: 351 B))

Buod

One of 16 Venn diagrams, representing 2-ary Boolean functions like set operations and logical connectives:

X or ¬X¬A or ¬BA or ¬B¬A or BA or B¬B¬AA xor BA xnor BAB¬A and ¬BA and ¬B¬A and BA and BX and ¬X


Operations and relations in set theory and logic

 
c
          
A = A
1111 1111
 
Ac  Bc
true
A ↔ A
 
 B
 
 Bc
AA
 
 
 Bc
1110 0111 1110 0111
 
 Bc
¬A  ¬B
A → ¬B
 
 B
 B
A ← ¬B
 
Ac B
 
A B
A¬B
 
 
A = Bc
A¬B
 
 
A B
1101 0110 1011 1101 0110 1011
 
Bc
 ¬B
A ← B
 
A
 B
A ↔ ¬B
 
Ac
¬A  B
A → B
 
B
 
B =
AB
 
 
A = c
A¬B
 
 
A =
AB
 
 
B = c
1100 0101 1010 0011 1100 0101 1010 0011
¬B
 
 
 Bc
A
 
 
(A  B)c
¬A
 
 
Ac  B
B
 
Bfalse
 
Atrue
 
 
A = B
Afalse
 
Btrue
 
0100 1001 0010 0100 1001 0010
 ¬B
 
 
Ac  Bc
 B
 
 
 B
¬A  B
 
AB
 
1000 0001 1000 0001
¬A  ¬B
 
 
 B
 
 
A = Ac
0000 0000
false
A ↔ ¬A
A¬A
 
These sets (statements) have complements (negations).
They are in the opposite position within this matrix.
These relations are statements, and have negations.
They are shown in a separate matrix in the box below.



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Araw/OrasThumbnailMga dimensiyontagagamitKumento
ngayon23:13, 1 Marso 2024Thumbnail para sa bersyon noong 23:13, 1 Marso 2024380 × 280 (351 B)Watchduckcleaner code and lighter red (overwritten with Pywikibot)
20:44, 24 Hulyo 2023Thumbnail para sa bersyon noong 20:44, 24 Hulyo 2023380 × 280 (352 B)SVG-image-makerRecoded manually by use of text editor
14:07, 26 Hulyo 2009Thumbnail para sa bersyon noong 14:07, 26 Hulyo 2009384 × 280 (3 KB)Watchduck
13:25, 26 Enero 2008Thumbnail para sa bersyon noong 13:25, 26 Enero 2008615 × 463 (4 KB)Watchduck{{Information |Description= |Source=eigene arbeit |Date= |Author= Tilman Piesk |Permission= |other_versions= }}
15:58, 22 Enero 2008Thumbnail para sa bersyon noong 15:58, 22 Enero 2008615 × 463 (4 KB)Watchduck{{Information |Description=Venn diagrams (sometimes called Johnston diagrams) concerning propositional calculus and set theory |Source=own work |Date=2008/Jan/22 |Author=Tilman Piesk |Permission=publich domain |other_versions= }}

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