Slika:Venn0110.svg

Velikost tega predogleda PNG datoteke SVG: 384 × 280 točk. Druge ločljivosti: 320 × 233 točk | 640 × 467 točk | 1.024 × 747 točk | 1.280 × 933 točk | 2.560 × 1.867 točk.

Izvorna datoteka (Datoteka SVG, nominalno 384 × 280 pikslov, velikost datoteke: 3 KB)

Ta datoteka izvira iz projekta Wikimedijina zbirka in se morda uporablja v drugih projektih. Spodaj je prikazan povzetek opisne strani datoteke.

Povzetek

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

Operations and relations in set theory and logic

∅^c

A = A

A^c

\scriptstyle \cup

B^c

true
^{A ↔ A}

A

\scriptstyle \cup

B

A

\scriptstyle \subseteq

B^c

A

\scriptstyle \Leftrightarrow

A

\scriptstyle \supseteq

B^c

A

\scriptstyle \cup

B^c

¬A

\scriptstyle \lor

¬B
^{A → ¬B}

A

\scriptstyle \Delta

B

A

\scriptstyle \lor

B
^{A ← ¬B}

A^c

\scriptstyle \cup

B

A

\scriptstyle \supseteq

B

A

\scriptstyle \Rightarrow

¬B

A = B^c

A

\scriptstyle \Leftarrow

¬B

A

\scriptstyle \subseteq

B

B^c

A

\scriptstyle \lor

¬B
^{A ← B}

A

\scriptstyle \oplus

B
^{A ↔ ¬B}

A^c

¬A

\scriptstyle \lor

B
^{A → B}

B

B = ∅

A

\scriptstyle \Leftarrow

B

A = ∅^c

A

\scriptstyle \Leftrightarrow

¬B

A = ∅

A

\scriptstyle \Rightarrow

B

B = ∅^c

¬B

A

\scriptstyle \cap

B^c

A

(A

\scriptstyle \Delta

B)^c

¬A

A^c

\scriptstyle \cap

B

\scriptstyle \Leftrightarrow

false

A

\scriptstyle \Leftrightarrow

true

A = B

A

\scriptstyle \Leftrightarrow

false

B

\scriptstyle \Leftrightarrow

true

A

\scriptstyle \land

¬B

A^c

\scriptstyle \cap

B^c

A

\scriptstyle \leftrightarrow

B

A

\scriptstyle \cap

B

¬A

\scriptstyle \land

B

A

\scriptstyle \Leftrightarrow

B

¬A

\scriptstyle \land

¬B

∅

A

\scriptstyle \land

B

A = A^c

false
^{A ↔ ¬A}

A

\scriptstyle \Leftrightarrow

¬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.

more relations

The operations, arranged in the same matrix as above. The 2x2 matrices show the same information like the Venn diagrams. (This matrix is similar to this Hasse diagram.) In set theory the Venn diagrams represent the set, which is marked in red.	These 15 relations, except the empty one, are minterms and can be the case. The relations in the files below are disjunctions. The red fields of their 4x4 matrices tell, in which of these cases the relation is true. (Inherently only conjunctions can be the case. Disjunctions are true in several cases.) In set theory the Venn diagrams tell, that there is an element in every red, and there is no element in any black intersection.
Negations of the relations in the matrix on the right. In the Venn diagrams the negation exchanges black and red. In set theory the Venn diagrams tell, that there is an element in one of the red intersections. (The existential quantifications for the red intersections are combined by or. They can be combined by the exclusive or as well.)	Relations like subset and implication, arranged in the same kind of matrix as above. In set theory the Venn diagrams tell, that there is no element in any black intersection.

Datoteka ne more biti predmet avtorskih pravic in je v javni domeni, saj v celoti sestoji iz podatkov, ki so skupna lastnina, in ne vsebuje izvirnega avtorstva.

Zgodovina datoteke

Kliknite datum in čas za ogled datoteke, ki je bila takrat naložena.

	Datum in čas	Sličica	Velikost	Uporabnik	Komentar
trenutno	22:06, 23. januar 2025		384 × 280 (3 KB)	wikimediacommons>Watchduck	correct size

Uporaba datoteke

Datoteko uporablja naslednja 1 stran:

Simetrična razlika množic

Slika:Venn0110.svg

Povzetek

Operations and relations in set theory and logic

Napisi

Predmeti, prikazani v tej datoteki

motiv

Vennov diagram

exclusive or ^angleščina

avtorskopravni status

javna domena

tip MIME

image/svg+xml

velikost podatkov

3.031 bajt

kontrolna vsota

1c20dbda54b5f989489a03cfd25d65a294c5c215

Zgodovina datoteke

Uporaba datoteke

Navigacijski meni

Slika:Venn0110.svg

Povzetek

Operations and relations in set theory and logic

Napisi

Predmeti, prikazani v tej datoteki

motiv

Vennov diagram

exclusive or angleščina

avtorskopravni status

javna domena

tip MIME

image/svg+xml

velikost podatkov

3.031 bajt

kontrolna vsota

1c20dbda54b5f989489a03cfd25d65a294c5c215

Zgodovina datoteke

Uporaba datoteke

Navigacijski meni

Iskanje

exclusive or ^angleščina