A Simple Mathematical Model of Cyclic Circadian Learning
This paper deals with the derivation of a simple mathematical model of cyclic learning with a period of 24 hours. Various requirements are met with an emphasis and approach which relies on simple mathematical operations, the prediction of measurable quantities, and the creation of uncomplicated proc...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/592587 |
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| _version_ | 1832552761207554048 |
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| author | J. Šimon M. Bulko |
| author_facet | J. Šimon M. Bulko |
| author_sort | J. Šimon |
| collection | DOAJ |
| description | This paper deals with the derivation of a simple mathematical model of cyclic learning with a period of 24 hours. Various requirements are met with an emphasis and approach which relies on simple mathematical operations, the prediction of measurable quantities, and the creation of uncomplicated processes of calibration. The presented model can be used to answer questions such as the following. Will I be able to memorize a given set of information? How long will it take to memorize information? How long will I remember the information that was memorized? The model is based on known memory retention functions that are in good agreement with experimental results. By the use of these functions and by formalism of differential equations, the concurrent processes of learning and forgetting are described mathematically. The usability of this model is limited to scenarios where logical bonds (connections to prior learning) are not created and mnemonic devices cannot be utilized during the learning process. |
| format | Article |
| id | doaj-art-2f6cac8da2ff40e381ac5c034996ee2c |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-2f6cac8da2ff40e381ac5c034996ee2c2025-02-03T05:57:52ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/592587592587A Simple Mathematical Model of Cyclic Circadian LearningJ. Šimon0M. Bulko1Department of Applied Mathematics, Faculty of Mechanical Engineering, University of Žilina, Univerzitná 8215/1, 010 26 Žilina, SlovakiaDepartment of Nuclear Physics and Biophysics, Faculty of Mathematics, Physics and Informatics, Comenius University, Bratislava, SlovakiaThis paper deals with the derivation of a simple mathematical model of cyclic learning with a period of 24 hours. Various requirements are met with an emphasis and approach which relies on simple mathematical operations, the prediction of measurable quantities, and the creation of uncomplicated processes of calibration. The presented model can be used to answer questions such as the following. Will I be able to memorize a given set of information? How long will it take to memorize information? How long will I remember the information that was memorized? The model is based on known memory retention functions that are in good agreement with experimental results. By the use of these functions and by formalism of differential equations, the concurrent processes of learning and forgetting are described mathematically. The usability of this model is limited to scenarios where logical bonds (connections to prior learning) are not created and mnemonic devices cannot be utilized during the learning process.http://dx.doi.org/10.1155/2014/592587 |
| spellingShingle | J. Šimon M. Bulko A Simple Mathematical Model of Cyclic Circadian Learning Journal of Applied Mathematics |
| title | A Simple Mathematical Model of Cyclic Circadian Learning |
| title_full | A Simple Mathematical Model of Cyclic Circadian Learning |
| title_fullStr | A Simple Mathematical Model of Cyclic Circadian Learning |
| title_full_unstemmed | A Simple Mathematical Model of Cyclic Circadian Learning |
| title_short | A Simple Mathematical Model of Cyclic Circadian Learning |
| title_sort | simple mathematical model of cyclic circadian learning |
| url | http://dx.doi.org/10.1155/2014/592587 |
| work_keys_str_mv | AT jsimon asimplemathematicalmodelofcycliccircadianlearning AT mbulko asimplemathematicalmodelofcycliccircadianlearning AT jsimon simplemathematicalmodelofcycliccircadianlearning AT mbulko simplemathematicalmodelofcycliccircadianlearning |