SEL Series Expansion and Generalized Model Construction for the Real Number System via Series of Rationals
We present an algorithm for constructing infinite series expansion for real numbers, which yields generalized versions of three famous series expansions, namely, Sylvester series, Engel series, and Lüroth series expansions. Using series of rationals, a generalized model for the real number system is...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2014/654319 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850223805644931072 |
|---|---|
| author | Patiwat Singthongla Narakorn Rompurk Kanasri |
| author_facet | Patiwat Singthongla Narakorn Rompurk Kanasri |
| author_sort | Patiwat Singthongla |
| collection | DOAJ |
| description | We present an algorithm for constructing infinite series expansion for real numbers, which yields generalized versions of three famous series expansions, namely, Sylvester series, Engel series, and Lüroth series expansions. Using series of rationals, a generalized model for the real number system is also constructed. |
| format | Article |
| id | doaj-art-43b082daa2514f668ee9d5d89e478198 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-43b082daa2514f668ee9d5d89e4781982025-08-20T02:05:49ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252014-01-01201410.1155/2014/654319654319SEL Series Expansion and Generalized Model Construction for the Real Number System via Series of RationalsPatiwat Singthongla0Narakorn Rompurk Kanasri1Department of Mathematics, Khon Kaen University, Khon Kaen 40002, ThailandDepartment of Mathematics, Khon Kaen University, Khon Kaen 40002, ThailandWe present an algorithm for constructing infinite series expansion for real numbers, which yields generalized versions of three famous series expansions, namely, Sylvester series, Engel series, and Lüroth series expansions. Using series of rationals, a generalized model for the real number system is also constructed.http://dx.doi.org/10.1155/2014/654319 |
| spellingShingle | Patiwat Singthongla Narakorn Rompurk Kanasri SEL Series Expansion and Generalized Model Construction for the Real Number System via Series of Rationals International Journal of Mathematics and Mathematical Sciences |
| title | SEL Series Expansion and Generalized Model Construction for the Real Number System via Series of Rationals |
| title_full | SEL Series Expansion and Generalized Model Construction for the Real Number System via Series of Rationals |
| title_fullStr | SEL Series Expansion and Generalized Model Construction for the Real Number System via Series of Rationals |
| title_full_unstemmed | SEL Series Expansion and Generalized Model Construction for the Real Number System via Series of Rationals |
| title_short | SEL Series Expansion and Generalized Model Construction for the Real Number System via Series of Rationals |
| title_sort | sel series expansion and generalized model construction for the real number system via series of rationals |
| url | http://dx.doi.org/10.1155/2014/654319 |
| work_keys_str_mv | AT patiwatsingthongla selseriesexpansionandgeneralizedmodelconstructionfortherealnumbersystemviaseriesofrationals AT narakornrompurkkanasri selseriesexpansionandgeneralizedmodelconstructionfortherealnumbersystemviaseriesofrationals |