Datoteka:Venn0001.svg

Veličina ovog PNG prikaza ove SVG datoteke: 384 × 280 piksela. Ostale razlučivosti: 320 × 233 piksela | 640 × 467 piksela | 1.024 × 747 piksela | 1.280 × 933 piksela | 2.560 × 1.867 piksela.

Vidi sliku u punoj veličini ‎(SVG datoteka, nominalno 384 × 280 piksela, veličina datoteke: 3 KB)

Ova je datoteka sa Zajedničkog poslužitelja i mogu je rabiti drugi projekti. Opis s njezine stranice s opisom datoteke prikazan je ispod.

Sažetak

OpisVenn0001.svg	Intersection math
Izvor	Ovoj datoteci nedostaje podatak o izvoru. Molimo uredite opis ove datoteke i pružite podatak o izvoru.
Autor	Ovoj datoteci nedostaje podatak o autoru.
Dopuštenje (Naknadna uporaba ove datoteke)	Public Domain
SVG genesis InfoField	Izvorni kôd ove SVG-datoteke nije valjan zbog 12 grešaka. Ova je vektorska slika napravljena programom Inkscape.

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.

This work is ineligible for copyright and therefore in the public domain because it consists entirely of information that is common property and contains no original authorship.

Povijest datoteke

Kliknite na datum/vrijeme kako biste vidjeli datoteku kakva je tada bila.

	Datum/Vrijeme	Dimenzije	Suradnik	Komentar
sadašnja	01:14, 2. ožujka 2024.	384 × 280 (3 KB)	Watchduck	cleaner code and lighter red (overwritten with Pywikibot)
	16:06, 26. srpnja 2009.	384 × 280 (3 KB)	Watchduck
	16:05, 26. srpnja 2009.	384 × 280 (3 KB)	Watchduck
	15:24, 26. siječnja 2008.	615 × 463 (4 KB)	Watchduck	{{Information \|Description= \|Source=eigene arbeit \|Date= \|Author= Tilman Piesk \|Permission= \|other_versions= }}
	17:57, 22. siječnja 2008.	615 × 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= }}
	16:26, 22. siječnja 2008.	480 × 360 (3 KB)	Watchduck	{{Information \|Description= \|Source= \|Date= \|Author= \|Permission= \|other_versions= }}

Uporaba datoteke

Na ovu sliku vode poveznice sa sljedećih stranica:

Simetrična razlika skupova

Globalna uporaba datoteke

Sljedeći wikiji rabe ovu datoteku:

Uporaba na als.wikipedia.org
- Menge (Mathematik)
- Mengenlehre
Uporaba na am.wikipedia.org
- ስብስብ
- የጋራ ስብስብ
Uporaba na anp.wikipedia.org
- समुच्चय सिद्धान्त
Uporaba na ar.wikipedia.org
Uporaba na ast.wikipedia.org
- Interseición de conxuntos
Uporaba na az.wikipedia.org
- Çoxluqlar nəzəriyyəsi
Uporaba na bar.wikipedia.org
- Grundlogn vo da Mathematik
Uporaba na ba.wikipedia.org
- Күмәклек
Uporaba na be-tarask.wikipedia.org
- Мноства
Uporaba na be.wikipedia.org
- Мноства
Uporaba na bg.wikipedia.org
Uporaba na bn.wikipedia.org
Uporaba na ca.wikipedia.org
Uporaba na ckb.wikipedia.org

Pogledajte globalnu uporabu ove datoteke.

Metapodatci

Ova datoteka sadržava dodatne podatke koje je vjerojatno dodala digitalna kamera ili skener u procesu snimanja odnosno digitalizacije. Ako je datoteka mijenjana, podatci možda nisu u skladu sa stvarnim stanjem.

Širina	307.28000pt
Visina	223.89000pt