Archivi:Venn0001.svg

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Fail orginal ‎(archivi in formad SVG, grandezza nominal 384 × 280 picsel, grandezza de l'archivi: 3 KByte)

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Somari

DescrizzionVenn0001.svg	Intersection math
Sorgent	A quell fail chi i ghe manca di informazzion sora l'origin. Per piesè modifica questa pagina de descrizsion del fail e ìndichenn l'origin.
Autor	A quell fail chì i ghe manchen di informazzion sora l'autor.
Permess (Doperà ancamò quell fail chì)	Public Domain
SVG sviluppo InfoField	Il codice sorgente di questo file SVG non è valido a causa di 12 errori. Quest’icona in grafica vettoriale non valida secondo il W3C è stata creata con Inkscape …importante.

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.

Sta imagine no la ga i requisiti par èssar sogeta a copyright e la xe quindi nel publico dominio, parché la xe fata interamente da informassion che xe de proprietà comune e no la contien gnente che possa farla deventar na opera originale.

Cronologia de l'archivi

Schiscia in su un grup data/ora per vedè l'archivi com 'a l'è che l'era in quell moment là

	Data/Ora	Grandezza	Utent	Coment
corent	01:14, 2 Mrz 2024	384 × 280 (3 KByte)	Watchduck	cleaner code and lighter red (overwritten with Pywikibot)
	16:06, 26 Lui 2009	384 × 280 (3 KByte)	Watchduck
	16:05, 26 Lui 2009	384 × 280 (3 KByte)	Watchduck
	15:24, 26 gen 2008	615 × 463 (4 KByte)	Watchduck	{{Information \|Description= \|Source=eigene arbeit \|Date= \|Author= Tilman Piesk \|Permission= \|other_versions= }}
	17:57, 22 gen 2008	615 × 463 (4 KByte)	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= }}
	16:26, 22 gen 2008	480 × 360 (3 KByte)	Watchduck	{{Information \|Description= \|Source= \|Date= \|Author= \|Permission= \|other_versions= }}

Ligámm

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Utilizazzion global di fail

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Doperad in als.wikipedia.org
- Menge (Mathematik)
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Metadat

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