The update exposition of the components organisig the sum of weighted equal powers
The sum of the weighted equal powers with natural bases and parameters is organized of components, which are independent or dependent on weight coefficients. Modification of components of the first aspect uses explicitly expressed products of binomial coefficients, and modification of components of the...
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| Format: | Article |
| Language: | English |
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Samara State Technical University
2012-03-01
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| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
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| Online Access: | https://journals.eco-vector.com/1991-8615/article/viewFile/20949/17208 |
| _version_ | 1818059896062476288 |
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| author | Alexander I Nikonov |
| author_facet | Alexander I Nikonov |
| author_sort | Alexander I Nikonov |
| collection | DOAJ |
| description | The sum of the weighted equal powers with natural bases and parameters is organized of components, which are independent or dependent on weight coefficients. Modification of components of the first aspect uses explicitly expressed products of binomial coefficients, and modification of components of the second aspect - products of binomial and weight coefficients. These visible expressions expand possibilities of representation of structure and an order of shaping of the considered sums. |
| first_indexed | 2024-12-10T13:23:48Z |
| format | Article |
| id | doaj.art-d37ddc8b8c534a1588e8ada76045c33a |
| institution | Directory Open Access Journal |
| issn | 1991-8615 2310-7081 |
| language | English |
| last_indexed | 2024-12-10T13:23:48Z |
| publishDate | 2012-03-01 |
| publisher | Samara State Technical University |
| record_format | Article |
| series | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| spelling | doaj.art-d37ddc8b8c534a1588e8ada76045c33a2022-12-22T01:47:16ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812012-03-0116122323218366The update exposition of the components organisig the sum of weighted equal powersAlexander I Nikonov0Samara State Technical UniversityThe sum of the weighted equal powers with natural bases and parameters is organized of components, which are independent or dependent on weight coefficients. Modification of components of the first aspect uses explicitly expressed products of binomial coefficients, and modification of components of the second aspect - products of binomial and weight coefficients. These visible expressions expand possibilities of representation of structure and an order of shaping of the considered sums.https://journals.eco-vector.com/1991-8615/article/viewFile/20949/17208sum of the weighted equal powersbinomial and weight coefficientsproduct of binomial coefficientsproduct of binomial and weight coefficientsupdate expressions |
| spellingShingle | Alexander I Nikonov The update exposition of the components organisig the sum of weighted equal powers Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki sum of the weighted equal powers binomial and weight coefficients product of binomial coefficients product of binomial and weight coefficients update expressions |
| title | The update exposition of the components organisig the sum of weighted equal powers |
| title_full | The update exposition of the components organisig the sum of weighted equal powers |
| title_fullStr | The update exposition of the components organisig the sum of weighted equal powers |
| title_full_unstemmed | The update exposition of the components organisig the sum of weighted equal powers |
| title_short | The update exposition of the components organisig the sum of weighted equal powers |
| title_sort | update exposition of the components organisig the sum of weighted equal powers |
| topic | sum of the weighted equal powers binomial and weight coefficients product of binomial coefficients product of binomial and weight coefficients update expressions |
| url | https://journals.eco-vector.com/1991-8615/article/viewFile/20949/17208 |
| work_keys_str_mv | AT alexanderinikonov theupdateexpositionofthecomponentsorganisigthesumofweightedequalpowers AT alexanderinikonov updateexpositionofthecomponentsorganisigthesumofweightedequalpowers |