COMBINATORIAL ANALYSIS IN THE SCHEME OF ALLOCATION OF DISTINGUISHABLE PARTICLES INTO INDISTINGUISHABLE CELLS WITH A GIVEN NUMBER OF NON-EMPTY CELLS
The scheme of allocating r distinguishable particles into n indistinguishable cells with k non-empty cells is studied along the directions of enumerative combinatorics. They are the direct enumeration of the outcomes of the scheme with a particular<br />discipline of their numbering, finding t...
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| Format: | Article |
| Language: | English |
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Karelian Research Centre of the Russian Academy of Sciences
2019-06-01
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| Series: | Transactions of the Karelian Research Centre of the Russian Academy of Sciences |
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| Online Access: | http://journals.krc.karelia.ru/index.php/mathem/article/view/976 |
| _version_ | 1818533025090109440 |
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| author | Natalia Enatskaya |
| author_facet | Natalia Enatskaya |
| author_sort | Natalia Enatskaya |
| collection | DOAJ |
| description | The scheme of allocating r distinguishable particles into n indistinguishable cells with k non-empty cells is studied along the directions of enumerative combinatorics. They are the direct enumeration of the outcomes of the scheme with a particular<br />discipline of their numbering, finding their numbers, establishing a one-to-one correspondence of the types of outcomes with their numbers, also known as numbering problem in direct and inverse statements, and modeling of outcomes of the scheme. |
| first_indexed | 2024-12-11T17:53:14Z |
| format | Article |
| id | doaj.art-f2448e589ed14b4a891d7a0dd719c28e |
| institution | Directory Open Access Journal |
| issn | 1997-3217 2312-4504 |
| language | English |
| last_indexed | 2024-12-11T17:53:14Z |
| publishDate | 2019-06-01 |
| publisher | Karelian Research Centre of the Russian Academy of Sciences |
| record_format | Article |
| series | Transactions of the Karelian Research Centre of the Russian Academy of Sciences |
| spelling | doaj.art-f2448e589ed14b4a891d7a0dd719c28e2022-12-22T00:56:09ZengKarelian Research Centre of the Russian Academy of SciencesTransactions of the Karelian Research Centre of the Russian Academy of Sciences1997-32172312-45042019-06-01710.17076/mat976763COMBINATORIAL ANALYSIS IN THE SCHEME OF ALLOCATION OF DISTINGUISHABLE PARTICLES INTO INDISTINGUISHABLE CELLS WITH A GIVEN NUMBER OF NON-EMPTY CELLSNatalia EnatskayaThe scheme of allocating r distinguishable particles into n indistinguishable cells with k non-empty cells is studied along the directions of enumerative combinatorics. They are the direct enumeration of the outcomes of the scheme with a particular<br />discipline of their numbering, finding their numbers, establishing a one-to-one correspondence of the types of outcomes with their numbers, also known as numbering problem in direct and inverse statements, and modeling of outcomes of the scheme.http://journals.krc.karelia.ru/index.php/mathem/article/view/976minimum numbers of particles on cellsportion additions. |
| spellingShingle | Natalia Enatskaya COMBINATORIAL ANALYSIS IN THE SCHEME OF ALLOCATION OF DISTINGUISHABLE PARTICLES INTO INDISTINGUISHABLE CELLS WITH A GIVEN NUMBER OF NON-EMPTY CELLS Transactions of the Karelian Research Centre of the Russian Academy of Sciences minimum numbers of particles on cells portion additions. |
| title | COMBINATORIAL ANALYSIS IN THE SCHEME OF ALLOCATION OF DISTINGUISHABLE PARTICLES INTO INDISTINGUISHABLE CELLS WITH A GIVEN NUMBER OF NON-EMPTY CELLS |
| title_full | COMBINATORIAL ANALYSIS IN THE SCHEME OF ALLOCATION OF DISTINGUISHABLE PARTICLES INTO INDISTINGUISHABLE CELLS WITH A GIVEN NUMBER OF NON-EMPTY CELLS |
| title_fullStr | COMBINATORIAL ANALYSIS IN THE SCHEME OF ALLOCATION OF DISTINGUISHABLE PARTICLES INTO INDISTINGUISHABLE CELLS WITH A GIVEN NUMBER OF NON-EMPTY CELLS |
| title_full_unstemmed | COMBINATORIAL ANALYSIS IN THE SCHEME OF ALLOCATION OF DISTINGUISHABLE PARTICLES INTO INDISTINGUISHABLE CELLS WITH A GIVEN NUMBER OF NON-EMPTY CELLS |
| title_short | COMBINATORIAL ANALYSIS IN THE SCHEME OF ALLOCATION OF DISTINGUISHABLE PARTICLES INTO INDISTINGUISHABLE CELLS WITH A GIVEN NUMBER OF NON-EMPTY CELLS |
| title_sort | combinatorial analysis in the scheme of allocation of distinguishable particles into indistinguishable cells with a given number of non empty cells |
| topic | minimum numbers of particles on cells portion additions. |
| url | http://journals.krc.karelia.ru/index.php/mathem/article/view/976 |
| work_keys_str_mv | AT nataliaenatskaya combinatorialanalysisintheschemeofallocationofdistinguishableparticlesintoindistinguishablecellswithagivennumberofnonemptycells |