ordered pair (Q1186): Difference between revisions

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@@ Property / Freebase ID @@
+/m/05lr1
@@ Property / Freebase ID: /m/05lr1 / rank @@
+Normal rank
@@ Property / Freebase ID: /m/05lr1 / 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 / cardinality of this set @@
@@ Property / cardinality of this set: 2 / rank @@
+Normal rank
@@ Property / cardinality of this set: 2 / reference @@
+stated in: Elementi di teoria degli insiemi
retrieved: 9 November 2017Timestamp +2017-11-09T00:00:00Z
Timezone +00:00
Calendar Gregorian
Precision 1 day
Before 0
After 0
-Timestamp
++2017-11-09T00:00:00Z
-Timezone
++00:00
-Calendar
+Gregorian
-Precision
+day
 Before
 After
@@ Property / different from @@
+unordered pair
@@ Property / different from: unordered pair / rank @@
+Normal rank
@@ Property / different from: unordered pair / reference @@
+stated in: Elementi di teoria degli insiemi
retrieved: 9 November 2017Timestamp +2017-11-09T00:00:00Z
Timezone +00:00
Calendar Gregorian
Precision 1 day
Before 0
After 0
-Timestamp
++2017-11-09T00:00:00Z
-Timezone
++00:00
-Calendar
+Gregorian
-Precision
+day
 Before
 After
@@ Property / defining formula @@
+ $(a,b)=\{\{a\},\{a,b\}\}$ 
(a,b) = \{ \{a\}, \{a,b\} \}
@@ Property / defining formula: $(a,b)=\{\{a\},\{a,b\}\}$ / rank @@
+Preferred rank
@@ Property / defining formula: $(a,b)=\{\{a\},\{a,b\}\}$ / qualifier @@
+discoverer or inventor: Kazimierz Kuratowski
@@ Property / defining formula: $(a,b)=\{\{a\},\{a,b\}\}$ / qualifier @@
+time of discovery or invention: 1921Timestamp +1921-00-00T00:00:00Z
Timezone +00:00
Calendar Gregorian
Precision 1 year
Before 0
After 0
-Timestamp
++1921-00-00T00:00:00Z
-Timezone
++00:00
-Calendar
+Gregorian
-Precision
+year
 Before
 After
@@ Property / defining formula: $(a,b)=\{\{a\},\{a,b\}\}$ / reference @@
+stated in: Elementi di teoria degli insiemi
retrieved: 9 November 2017Timestamp +2017-11-09T00:00:00Z
Timezone +00:00
Calendar Gregorian
Precision 1 day
Before 0
After 0
-Timestamp
++2017-11-09T00:00:00Z
-Timezone
++00:00
-Calendar
+Gregorian
-Precision
+day
 Before
 After
@@ Property / defining formula @@
+ $(a_{1},b_{1})=(a_{2},b_{2})\quad \Leftrightarrow \quad a_{1}=a_{2}{\text{ and }}b_{1}=b_{2}$ 
(a_1, b_1) = (a_2, b_2)\quad \Leftrightarrow \quad a_1 = a_2\text{ and }b_1 = b_2
+Normal rank
@@ Property / defining formula @@
+ $(a,b):=\{\{\{a\},\,\emptyset \},\,\{\{b\}\}\}$ 
( a, b ) := \{\{ \{a\},\, \emptyset \},\,  \{\{b\}\}\}
+Normal rank
+discoverer or inventor: Norbert Wiener
+time of discovery or invention: 1914Timestamp +1914-00-00T00:00:00Z
Timezone +00:00
Calendar Gregorian
Precision 1 year
Before 0
After 0
-Timestamp
++1914-00-00T00:00:00Z
-Timezone
++00:00
-Calendar
+Gregorian
-Precision
+year
 Before
 After
@@ Property / defining formula @@
+ $(a,b):=\{\{a,1\},\{b,2\}\}$ 
(a,b) := \{\{a,1\},\{b,2\}\}
@@ Property / defining formula: $(a,b):=\{\{a,1\},\{b,2\}\}$ / rank @@
+Normal rank
@@ Property / defining formula: $(a,b):=\{\{a,1\},\{b,2\}\}$ / qualifier @@
+discoverer or inventor: Felix Hausdorff
@@ Property / defining formula: $(a,b):=\{\{a,1\},\{b,2\}\}$ / qualifier @@
+time of discovery or invention: 1914Timestamp +1914-00-00T00:00:00Z
Timezone +00:00
Calendar Gregorian
Precision 1 year
Before 0
After 0
-Timestamp
++1914-00-00T00:00:00Z
-Timezone
++00:00
-Calendar
+Gregorian
-Precision
+year
 Before
 After
@@ Property / subclass of @@
+dyad
@@ Property / subclass of: dyad / rank @@
+Normal rank
@@ Property / subclass of: dyad / qualifier @@
+has characteristic: order
@@ Property / subclass of @@
+n-tuple
@@ Property / subclass of: n-tuple / rank @@
+Normal rank
@@ Property / subclass of: n-tuple / qualifier @@
+of: 2
@@ Property / JSTOR topic ID @@
+ordered-pairs
@@ Property / JSTOR topic ID: ordered-pairs / rank @@
+Normal rank
@@ Property / part of @@
+binary relation
@@ Property / part of: binary relation / rank @@
+Normal rank
@@ Property / part of: binary relation / reference @@
+stated in: Elementi di teoria degli insiemi
retrieved: 9 November 2017Timestamp +2017-11-09T00:00:00Z
Timezone +00:00
Calendar Gregorian
Precision 1 day
Before 0
After 0
-Timestamp
++2017-11-09T00:00:00Z
-Timezone
++00:00
-Calendar
+Gregorian
-Precision
+day
 Before
 After
@@ Property / follows @@
+singleton
@@ Property / follows: singleton / rank @@
+Normal rank
@@ Property / followed by @@
+triple
@@ Property / followed by: triple / rank @@
+Normal rank
@@ Property / MathWorld ID @@
+OrderedPair
@@ Property / MathWorld ID: OrderedPair / rank @@
+Normal rank
@@ Property / Elhuyar ZTH ID @@
@@ Property / Elhuyar ZTH ID: 133717 / rank @@
+Normal rank
@@ Property / Encyclopædia Britannica Online ID @@
+topic/ordered-pair
@@ Property / Encyclopædia Britannica Online ID: topic/ordered-pair / rank @@
+Normal rank
@@ Property / Encyclopædia Britannica Online ID: topic/ordered-pair / qualifier @@
+subject named as: ordered pair
@@ Property / image @@
+Ordered Pair Example.svg
@@ Property / image: Ordered Pair Example.svg / rank @@
+Normal rank
@@ Property / BabelNet ID @@
+00012597n
@@ Property / BabelNet ID: 00012597n / rank @@
+Normal rank
@@ Property / Microsoft Academic ID @@
+206106527
@@ Property / Microsoft Academic ID: 206106527 / rank @@
+Normal rank
@@ Property / has characteristic @@
+order
@@ Property / has characteristic: order / rank @@
+Normal rank
@@ Property / nLab ID @@
+ordered pair
@@ Property / nLab ID: ordered pair / rank @@
+Normal rank
@@ Property / described by source @@
+ISO 80000-2:2019 Quantities and units — Part 2: Mathematics
+Normal rank
+section, verse, paragraph, or clause: 2-6.14
+subject named as: ordered pair a, b
+subject named as: couple a, b
@@ Property / Metamath statement ID @@
+df-op
@@ Property / Metamath statement ID: df-op / rank @@
+Normal rank

Latest revision as of 15:51, 29 July 2024

pair of mathematical objects; tuple of specific length (tuple length n=2)

(a, b)
couple
double
pair
2-tuple

Language	Label	Description	Also known as
English	ordered pair	pair of mathematical objects; tuple of specific length (tuple length n=2)	(a, b) couple double pair 2-tuple

Statements

cardinality of this set

1 reference

Elementi di teoria degli insiemi

9 November 2017

1 reference

Elementi di teoria degli insiemi

9 November 2017

defining formula

(a,b)=\{\{a\},\{a,b\}\}

discoverer or inventor

Kazimierz Kuratowski

time of discovery or invention

1921

1 reference

Elementi di teoria degli insiemi

9 November 2017

(a_{1},b_{1})=(a_{2},b_{2})\quad \Leftrightarrow \quad a_{1}=a_{2}{\text{ and }}b_{1}=b_{2}

0 references

(a,b):=\{\{\{a\},\,\emptyset \},\,\{\{b\}\}\}

discoverer or inventor

time of discovery or invention

1914

0 references

(a,b):=\{\{a,1\},\{b,2\}\}

discoverer or inventor

Felix Hausdorff

time of discovery or invention

1914

0 references

has characteristic

0 references

0 references

binary relation

1 reference

Elementi di teoria degli insiemi

9 November 2017

0 references

0 references

Ordered Pair Example.svg
500 × 500; 4 KB

0 references

has characteristic

0 references

described by source

ISO 80000-2:2019 Quantities and units — Part 2: Mathematics

section, verse, paragraph, or clause

2-6.14

subject named as

ordered pair a, b

couple a, b

0 references

Identifiers

0 references

/m/05lr1

1 reference

Freebase Data Dumps

publication date

28 October 2013

ordered-pairs

0 references

OrderedPair

0 references

133717

0 references

Encyclopædia Britannica Online ID

topic/ordered-pair

subject named as

ordered pair

0 references

00012597n

0 references

Microsoft Academic ID

206106527

0 references

ordered pair

0 references

Metamath statement ID

df-op

0 references

Sitelinks

mathematics(0 entries)

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