What is cardinality

Cardinality (German)

Part of speech: noun, (Female)

Hyphenation:
Kar | di | na | li | ity, Plural: Card | di | na | li | act | ten
Pronunciation / Stress:
IPA: [ˌkaʁdinaliˈtɛːt]
Word meaning / definition:
1) mathematicsNumber of elements in a set; Mightiness
2) Quantity of relationship types
Origin of the term:
Derivation (suffixation) from the adjectivecardinal with the derivative (derivative morpheme) -ity
Related terms:
1) power
Application examples:
1) "M = ∞. M denotes the thickness (Cardinality) of M, but ∞ is not a cardinal number. "
2) “The Cardinality a relationship denotes the number of rows in a subordinate table that relate to a single row in a superordinate table. "
Cases:
Nominative: singular Cardinality; Plural Cardinalities
Genitive: singular Cardinality; Plural Cardinalities
Dative: singular Cardinality; Plural Cardinalities
Accusative: singular Cardinality; Plural Cardinalities

Practical example sentences

Automatically selected examples in German:

Georg Cantor proved with his diagonalization method that the set of rational numbers is the same Cardinality like the set of natural numbers possesses.
Tatoeba.org set example 8210768

With his second diagonal argument Georg Cantor proved that the set of real numbers is a really larger one Cardinality than the set of natural numbers.
Tatoeba.org set example 8210769

The Cardinality of real numbers is also called the Cardinality of the continuum and denotes it with the symbol ℵ₁.
Tatoeba.org set example 8210770

A lot of that Cardinality of the natural numbers are called “countable infinite”.
Tatoeba.org set example 8210771

Cantor's theorem says that the power set of a set, that is, the set of all subsets of this set, is always a really larger one Cardinality (or mightiness) than the crowd itself possesses.
Tatoeba.org set example 8210773

The usage examples were selected automatically and may therefore contain errors.


Thesaurus & Synonyms

  • Cardinal number: Mathematics: "number" of elements, "size" of a set; Property of being able to be mapped bijectively to a certain quantity; Linguistics: a numerical word that indicates the number of objects in a set
  • Mightiness

Another word (synonym) for cardinality - Source: OpenThesaurus


Dictionary entries

Entries from our dictionary containing "cardinality":

dimension: Under the most common concept of the dimension of a space, the Hamel dimension of a vector space, one understands the cardinality of a (and then every) basis spanning this vector space

putere: ... repeated multiplication of a value, power 5) Mathematics, set theory: cardinality, cardinality of a set 6) Technology, physics: electrical, mechanical, thermal ...

Cardinalities:… IPA: [ˌkaʁdinaliˈtɛːtn̩] Grammatical features: nominative plural of the noun cardinality genitive plural of the noun cardinality dative plural of the…


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"Cardinality" in the online dictionary Wortbedeutung.info (May 24th, 2021) URL: https://www.wortbedeutung.info/Kardinalität/

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The following terms

Cardinalities (German) Part of Speech: Declined Form Hyphenation: Kar | di | na | li | ta | ten Pronunciation / Emphasis: IPA:…

Cardinal solution (German) Part of speech: noun, (feminine) Cases: nominative: singular cardinal solution; Majority of cardinal solutions ...

Cardinal solutions (German) Part of Speech: Declined Form Hyphenation: Kar | di | nal | lö | sun | gen Pronunciation / Stress: IPA:…

Cardinal Protodeacon (German) part of speech: noun, (male) cases: nominative: singular of cardinal protodiacon; Majority of the ...

Cardinal Protodiacons (German) Part of speech: Declined form Hyphenation: Kar | di | nal | pro | to | dia | ko | ne Grammatical features: nominative ...

Cardinal Protodeacons (German) Part of speech: Declined form Hyphenation: Kar | di | nal | pro | to | dia | ko | nen Grammatical features: Dative ...

Cardinal Protodiacones (German) Part of speech: declined form, subsidiary forms: cardinal protodiacons, syllable separation: ...

Cardinal Protodiacons (German) Part of speech: Declined form Variant forms: Cardinal protodiacal Hyphenation: Kar | di | nal | pro | to | dia | Kons…

Cardinals (German) Part of Speech: Declined Form Hyphenation: Kar | di | nals Pronunciation / Stress: IPA: [ˌkaʁdiˈnaːls]…

Cardinal appointment (German) Part of speech: noun, (feminine) Cases: nominative: singular cardinal appointment; Majority of cardinal nominations ...