Cartesian product (Q3452): Difference between revisions

@@ Property / subclass of @@
+relation
@@ Property / subclass of: relation / rank @@
+Normal rank
@@ Property / subclass of @@
+Cartesian product of several sets
@@ Property / subclass of: Cartesian product of several sets / rank @@
+Normal rank
@@ Property / notation @@
+multiplication sign
@@ Property / notation: multiplication sign / rank @@
+Normal rank
@@ Property / notation: multiplication sign / qualifier @@
+criterion used: binary
@@ Property / named after @@
+René Descartes
@@ Property / named after: René Descartes / rank @@
+Normal rank
@@ Property / Freebase ID @@
+/m/01rfg
@@ Property / Freebase ID: /m/01rfg / rank @@
+Normal rank
@@ Property / Freebase ID: /m/01rfg / reference @@
+stated in: Freebase Data Dumps
publication date: 28 October 2013Timestamp +2013-10-28T00:00:00Z
Timezone +00:00
Calendar Gregorian
Precision 1 day
Before 0
After 0
-Timestamp
++2013-10-28T00:00:00Z
-Timezone
++00:00
-Calendar
+Gregorian
-Precision
+day
 Before
 After
@@ Property / Quora topic ID @@
+Cartesian-Product
@@ Property / Quora topic ID: Cartesian-Product / rank @@
+Normal rank
@@ Property / Quora topic ID: Cartesian-Product / reference @@
+stated in: Quora
@@ Property / defining formula @@
+ $A\times B=\{(x,y)\mid x\in A\land y\in B\}$ 
A \times B = \{(x, y) \mid x \in A \land y \in B\}
+Normal rank
+stated in: ISO 80000-2:2019 Quantities and units — Part 2: Mathematics
section, verse, paragraph, or clause: 2-6.16
@@ Property / MathWorld ID @@
+CartesianProduct
@@ Property / MathWorld ID: CartesianProduct / rank @@
+Normal rank
@@ Property / MathWorld ID: CartesianProduct / reference @@
+imported from Wikimedia project: German Wikipedia
@@ Property / part of @@
+power set
@@ Property / part of: power set / rank @@
+Normal rank
@@ Property / has characteristic @@
+arity
@@ Property / has characteristic: arity / rank @@
+Normal rank
@@ Property / Encyclopædia Britannica Online ID @@
+topic/Cartesian-product
@@ Property / Encyclopædia Britannica Online ID: topic/Cartesian-product / rank @@
+Normal rank
+subject named as: Cartesian product
@@ Property / image @@
+Cartesian Product qtl1.svg
@@ Property / image: Cartesian Product qtl1.svg / rank @@
+Normal rank
@@ Property / image: Cartesian Product qtl1.svg / qualifier @@
+criterion used: binary
@@ Property / Rosetta Code page ID @@
+Cartesian_product_of_two_or_more_lists
@@ Property / Rosetta Code page ID: Cartesian_product_of_two_or_more_lists / rank @@
+Normal rank
@@ Property / different from @@
+Cartesian product of graphs
@@ Property / different from: Cartesian product of graphs / rank @@
+Normal rank
@@ Property / different from: Cartesian product of graphs / reference @@
+inferred from: Cartesian product of graphs
@@ Property / different from @@
+Cartesian product of several sets
@@ Property / different from: Cartesian product of several sets / rank @@
+Normal rank
@@ Property / studied in @@
+set theory
@@ Property / studied in: set theory / rank @@
+Normal rank
@@ Property / instance of @@
+set operation
@@ Property / instance of: set operation / rank @@
+Normal rank
@@ Property / instance of @@
+binary operation
@@ Property / instance of: binary operation / rank @@
+Normal rank
@@ Property / Microsoft Academic ID @@
+65236422
@@ Property / Microsoft Academic ID: 65236422 / rank @@
+Normal rank
@@ Property / nLab ID @@
+cartesian product
@@ Property / nLab ID: cartesian product / rank @@
+Normal rank
@@ Property / IEV number @@
+-01-06
@@ Property / IEV number: 102-01-06 / rank @@
+Normal rank
@@ Property / described by source @@
+ISO 80000-2:2019 Quantities and units — Part 2: Mathematics
+Normal rank
+section, verse, paragraph, or clause: 2-6.16
+subject named as: Cartesian product of the sets A and B
@@ Property / in defining formula @@
+ $A\times B$ 
A \times B
@@ Property / in defining formula: $A\times B$ / rank @@
+Normal rank
@@ Property / in defining formula: $A\times B$ / qualifier @@
+symbol represents: Cartesian product
@@ Property / in defining formula @@
+ $A$ 
A
@@ Property / in defining formula: $A$ / rank @@
+Normal rank
@@ Property / in defining formula: $A$ / qualifier @@
+symbol represents: set
@@ Property / in defining formula @@
+ $B$ 
B
@@ Property / in defining formula: $B$ / rank @@
+Normal rank
@@ Property / in defining formula: $B$ / qualifier @@
+symbol represents: set
@@ Property / in defining formula @@
+ $(x,y)$ 
(x, y)
@@ Property / in defining formula: $(x,y)$ / rank @@
+Normal rank
@@ Property / in defining formula: $(x,y)$ / qualifier @@
+symbol represents: ordered pair
@@ Property / OpenAlex ID @@
+C65236422
@@ Property / OpenAlex ID: C65236422 / rank @@
+Normal rank
@@ Property / OpenAlex ID: C65236422 / reference @@
+stated in: OpenAlex
retrieved: 26 January 2022Timestamp +2022-01-26T00:00:00Z
Timezone +00:00
Calendar Gregorian
Precision 1 day
Before 0
After 0
reference URL: https://docs.openalex.org/download-snapshot/snapshot-data-format
-Timestamp
++2022-01-26T00:00:00Z
-Timezone
++00:00
-Calendar
+Gregorian
-Precision
+day
 Before
 After
@@ Property / Commons category @@
+Set product
@@ Property / Commons category: Set product / rank @@
+Normal rank
@@ Property / Treccani's Enciclopedia della Matematica ID @@
+prodotto-cartesiano
+Normal rank
+subject named as: prodotto cartesiano
+publication date: 2013Timestamp +2013-01-01T00:00:00Z
Timezone +00:00
Calendar Gregorian
Precision 1 year
Before 0
After 0
-Timestamp
++2013-01-01T00:00:00Z
-Timezone
++00:00
-Calendar
+Gregorian
-Precision
+year
 Before
 After
@@ Property / Encyclopedia of Mathematics article ID @@
+Cartesian_product
@@ Property / Encyclopedia of Mathematics article ID: Cartesian_product / rank @@
+Normal rank
@@ Property / Brilliant Wiki ID @@
+cartesian-product
@@ Property / Brilliant Wiki ID: cartesian-product / rank @@
+Normal rank
@@ Property / Metamath statement ID @@
+df-xp
@@ Property / Metamath statement ID: df-xp / rank @@
+Normal rank

Latest revision as of 17:02, 29 July 2024

set of the ordered pairs such that the first element of the pair is in the first element of the product and the second element of the pair is in the second element of the product

direct product of sets
Cartesian product of sets
direct product
product of sets

Language	Label	Description	Also known as
English	Cartesian product	set of the ordered pairs such that the first element of the pair is in the first element of the product and the second element of the pair is in the second element of the product	direct product of sets Cartesian product of sets direct product product of sets