The inclusion and exclusion principle in view of number theory
The inclusion and exclusion (connection and disconnection) principle is mainly known from combinatorics in solving the combinatorial problem of calculating all permutations of a finite set or other combinatorial problems. Finite sets and Venn diagrams are the standard method of teaching this princip...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Accademia Piceno Aprutina dei Velati
2019-06-01
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| Series: | Ratio Mathematica |
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| Online Access: | http://eiris.it/ojs/index.php/ratiomathematica/article/view/465 |
| _version_ | 1818870597445222400 |
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| author | Viliam Ďuriš Tomáš Lengyelfalusy |
| author_facet | Viliam Ďuriš Tomáš Lengyelfalusy |
| author_sort | Viliam Ďuriš |
| collection | DOAJ |
| description | The inclusion and exclusion (connection and disconnection) principle is mainly known from combinatorics in solving the combinatorial problem of calculating all permutations of a finite set or other combinatorial problems. Finite sets and Venn diagrams are the standard method of teaching this principle. The paper presents an alternative approach to teaching the inclusion and exclusion principle from the number theory point of view, while presenting several selected application tasks and possible principle implementation into the Matlab computing environment. |
| first_indexed | 2024-12-19T12:09:33Z |
| format | Article |
| id | doaj.art-4a357d9776e84b6e8b7bf75519bff8fa |
| institution | Directory Open Access Journal |
| issn | 1592-7415 2282-8214 |
| language | English |
| last_indexed | 2024-12-19T12:09:33Z |
| publishDate | 2019-06-01 |
| publisher | Accademia Piceno Aprutina dei Velati |
| record_format | Article |
| series | Ratio Mathematica |
| spelling | doaj.art-4a357d9776e84b6e8b7bf75519bff8fa2022-12-21T20:22:15ZengAccademia Piceno Aprutina dei VelatiRatio Mathematica1592-74152282-82142019-06-01361435210.23755/rm.v36i1.465427The inclusion and exclusion principle in view of number theoryViliam Ďuriš0Tomáš Lengyelfalusy1Department of Mathematics Faculty of Natural Sciences Constantine The Philosopher University in NitraDepartment of Didactics Technology and Educational Technologies DTI University Sládkovičova 533/20, 018 41 Dubnica nad VáhomThe inclusion and exclusion (connection and disconnection) principle is mainly known from combinatorics in solving the combinatorial problem of calculating all permutations of a finite set or other combinatorial problems. Finite sets and Venn diagrams are the standard method of teaching this principle. The paper presents an alternative approach to teaching the inclusion and exclusion principle from the number theory point of view, while presenting several selected application tasks and possible principle implementation into the Matlab computing environment.http://eiris.it/ojs/index.php/ratiomathematica/article/view/465inclusionexclusionnumber theorycombinatoricsmatlab |
| spellingShingle | Viliam Ďuriš Tomáš Lengyelfalusy The inclusion and exclusion principle in view of number theory Ratio Mathematica inclusion exclusion number theory combinatorics matlab |
| title | The inclusion and exclusion principle in view of number theory |
| title_full | The inclusion and exclusion principle in view of number theory |
| title_fullStr | The inclusion and exclusion principle in view of number theory |
| title_full_unstemmed | The inclusion and exclusion principle in view of number theory |
| title_short | The inclusion and exclusion principle in view of number theory |
| title_sort | inclusion and exclusion principle in view of number theory |
| topic | inclusion exclusion number theory combinatorics matlab |
| url | http://eiris.it/ojs/index.php/ratiomathematica/article/view/465 |
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