(of a class) the cardinal number associated with the given class. Two classes have the same cardinality if they can be put in one-to-one correspondence
cardinality in American English
(ˌkɑːrdnˈælɪti)
nounWord forms: plural-ties
Math(of a set)
the cardinal number indicating the number of elements in the set
Word origin
[1930–35; cardinal + -ity]This word is first recorded in the period 1930–35. Other words that entered Englishat around the same time include: DNA, boondoggle, logical positivism, saddle stitch, video-ity is a suffix used to form abstract nouns expressing state or condition. Other wordsthat use the affix -ity include: Latinity, civility, jollity
Examples of 'cardinality' in a sentence
cardinality
This allows estimation of entropy with no a priori assumptions about the cardinality.
Ilya Nemenman 2011, 'Coincidences and Estimation of Entropies of Random Variables with Large Cardinalities',Entropyhttp://www.mdpi.com/1099-4300/13/12/2013/. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Then we present a mixed linear programming formulation with polynomial cardinality of sub-tour elimination constraints.
Zuzana Borčinova 2017, 'Two models of the capacitated vehicle routing problem', Croatian Operational Research Reviewhttp://hrcak.srce.hr/file/285563. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Encouraged by their results, we partition the search space by using equality cardinality constraints.
M.F. Kruger, J.M Hattingh 2014, 'A partitioning scheme for solving the 0-1 knapsack problem', ORiONhttp://orion.journals.ac.za/pub/article/view/179. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
This enables us to classify c-causets of cardinality n + 1 in terms of n-bits.
Stan Gudder 2015, 'A Model for the Universe that Begins to Resemble a Quantum Computer', Axiomshttp://www.mdpi.com/2075-1680/4/1/102. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Furthermore, we consider budget, bound and cardinality constraints.
Fernando García, Jairo González-Bueno, Javier Oliver, Rima Tamošiūnienė 2019, 'A CREDIBILISTIC MEAN-SEMIVARIANCE-PER PORTFOLIO SELECTION MODEL FOR LATIN AMERICA',Journal of Business Economics and Managementhttps://doi.org/10.3846/jbem.2019.8317. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
We have also defined the cardinality of two single valued neutrosophic rough sets.
K. Mohana, M. Mohanasundari 2019, 'On Some Similarity Measures of Single Valued Neutrosophic Rough Sets', Neutrosophic Sets and Systemshttp://fs.unm.edu/NSS/OnSomeSimilarityMeasures.pdf. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
In this paper, we focus instead on tackling the cardinality of the collection of vectors.
Vincent Gripon, Matthias Löwe, Franck Vermet 2018, 'Associative Memories to Accelerate Approximate Nearest Neighbor Search', Applied Scienceshttp://www.mdpi.com/2076-3417/8/9/1676. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
This paper addresses a realistic portfolio optimization problem with floor, ceiling, and cardinality constraints.
Marzieh Mozafari, Sajedeh Tafazzoli, Fariborz Jolai 2011, 'A new IPSO-SA approach for cardinality constrained portfolio optimization', International Journal of Industrial Engineering Computationshttp://www.growingscience.com/ijiec/Vol2/IJIEC_2011_2.pdf. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The concepts of cardinality and part-part-whole are key to numerical development.
Sabine Peucker 2013, 'Development of numerical concepts', South African Journal of Childhood Educationhttps://sajce.co.za/index.php/sajce/article/view/30. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)