Fail:Venn1010.svg - Wikipedia Bahasa Melayu, ensiklopedia bebas

Saiz pratonton PNG bagi fail SVG ini: 380 × 280 piksel . Leraian-leraian lain: 320 × 236 piksel | 640 × 472 piksel | 1,024 × 755 piksel | 1,280 × 943 piksel | 2,560 × 1,886 piksel.

Fail asli (Fail SVG, ukuran dasar 380 × 280 piksel, saiz fail: 351 bait)

Fail ini dari Wikimedia Commons dan mungkin digunakan oleh projek lain. Penerangan pada laman penerangan failnya di sana ditunjukkan di bawah.

Ringkasan

One of 16 Venn diagrams, representing 2-ary Boolean functions like set operations and [[w:Logical corect 81 233 166 409 ¬A or ¬B rect 260 231 349 409 A or ¬B rect 393 230 481 409 ¬A or B rect 574 232 663 408 A or B rect 13 436 103 617 ¬B rect 147 438 235 617 ¬A rect 279 440 368 616 A xor B rect 375 440 464 617 A xnor B rect 507 439 595 617 A rect 639 438 732 617 B rect 79 647 168 826 ¬A and ¬B rect 260 647 349 826 A and ¬B rect 392 646 482 826 ¬A and B rect 574 646 663 826 A and B rect 327 853 417 1035 X and ¬X desc top-right </imagemap>

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.

Fail ini tidak layak berhak cipta dan ia berada dalam domain awam, kerana ia sepenuhnya terdiri daripada maklumat yang merupakan harta bersama dan tidak mengandungi pengarang asal.

derivative works

Derivative works of this file: Komplement einer Menge.svg

Sejarah fail

Klik pada tarikh/waktu untuk melihat rupa fail tersebut pada waktu itu.

	Tarikh/Waktu	Ukuran	Pengguna	Komen
semasa	22:20, 28 September 2024	380 × 280 (351 bait)	Watchduck	Shade of red and thinner lines match other image sets.
	15:38, 16 Julai 2024	400 × 300 (518 bait)	Antonsusi	Valid SVG
	23:09, 1 Mac 2024	380 × 280 (351 bait)	Watchduck	cleaner code and lighter red (overwritten with Pywikibot)
	20:39, 24 Julai 2023	380 × 280 (352 bait)	SVG-image-maker	Redrew with a text editor
	14:11, 26 Julai 2009	384 × 280 (3 KB)	Watchduck
	13:31, 26 Januari 2008	615 × 463 (4 KB)	Watchduck	{{Information \|Description= \|Source=eigene arbeit \|Date= \|Author= Tilman Piesk \|Permission= \|other_versions= }}
	16:05, 22 Januari 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= }}

Penggunaan fail

Laman berikut menggunakan fail ini:

Pelengkap (teori set)

Penggunaan fail sejagat

Fail ini digunakan oleh wiki-wiki lain yang berikut:

Penggunaan di am.wikipedia.org
Penggunaan di ar.teknopedia.teknokrat.ac.id
- مجموعة مكملة (نظرية المجموعات)
Penggunaan di bg.wikipedia.org
- Импликация
Penggunaan di bn.wikipedia.org
- ভেন রেখাচিত্র
Penggunaan di ca.wikipedia.org
Penggunaan di cs.wikipedia.org
- Množina
- Doplněk množiny
Penggunaan di de.teknopedia.teknokrat.ac.id
Penggunaan di de.wikibooks.org
Penggunaan di de.wikiversity.org
- Benutzer:Watchduck/Spielwiese
Penggunaan di en.wikipedia.org
Penggunaan di en.wikibooks.org
- Mathematical Proof/Print version
- Mathematical Proof/Introduction to Set Theory
Penggunaan di en.wikiversity.org

Lihat banyak lagi penggunaan sejagat bagi fail ini.

Metadata

Fail ini mengandungi maklumat tambahan daripada kamera digital atau pengimbas yang digunakan untuk menghasilkannya. Jika fail ini telah diubah suai daripada rupa asalnya, beberapa butiran dalam maklumat ini mungkin sudah tidak relevan.

Lebar	380
Tinggi	280

Ringkasan

Operations and relations in set theory and logic

derivative works

Captions

Items portrayed in this file

menggambarkan

status hak cipta

domain awam

media type ^Inggeris

image/svg+xml

saiz data

351 bait

hasil tambah semak

0c4e108e2ba29d17fbc668be2d03a235fd73345d

Sejarah fail

Penggunaan fail

Penggunaan fail sejagat

Metadata

Ringkasan

Operations and relations in set theory and logic

derivative works

Captions

Items portrayed in this file

menggambarkan

status hak cipta

domain awam

media type Inggeris

image/svg+xml

saiz data

351 bait

hasil tambah semak

0c4e108e2ba29d17fbc668be2d03a235fd73345d

Sejarah fail

Penggunaan fail

Penggunaan fail sejagat

Metadata

media type ^Inggeris