The Use of Gamma Interval Functions in Fundamental Engineering Problems
The newly proposed Gamma Interval Function is treated in detail in this work for the first time. The function may be applied to all fundamental engineering problems where multiple solutions exist over the whole domain of interest. With the aid of the function, multiple solutions defined over the di...
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| Format: | Article |
| Language: | English |
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The University of Lahore
2025-07-01
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| Series: | Pakistan Journal of Engineering & Technology |
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| Online Access: | https://journals.uol.edu.pk/pakjet/article/view/3791 |
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| _version_ | 1849429121272119296 |
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| author | Mehmet Pakdemirli |
| author_facet | Mehmet Pakdemirli |
| author_sort | Mehmet Pakdemirli |
| collection | DOAJ |
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The newly proposed Gamma Interval Function is treated in detail in this work for the first time. The function may be applied to all fundamental engineering problems where multiple solutions exist over the whole domain of interest. With the aid of the function, multiple solutions defined over the different parts of the domain can be practically expressed as a single solution. Application problems are selected from mechanical engineering courses such as dynamics, fluid mechanics, heat transfer and mechanical vibrations. The potential application areas are much more general than discussed here, and the function can be applied to many mathematical expressions inheriting discontinuities, which is represented by algebraic or differential equation forms.
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| format | Article |
| id | doaj-art-53a31f8c8f7643febbd1716b1da9f521 |
| institution | Kabale University |
| issn | 2664-2042 2664-2050 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | The University of Lahore |
| record_format | Article |
| series | Pakistan Journal of Engineering & Technology |
| spelling | doaj-art-53a31f8c8f7643febbd1716b1da9f5212025-08-20T03:28:28ZengThe University of LahorePakistan Journal of Engineering & Technology2664-20422664-20502025-07-018210.51846/vol8iss2pp10-15The Use of Gamma Interval Functions in Fundamental Engineering ProblemsMehmet Pakdemirli0Department of Mechanical Engineering, Manisa Celal Bayar University, Manisa, Turkey The newly proposed Gamma Interval Function is treated in detail in this work for the first time. The function may be applied to all fundamental engineering problems where multiple solutions exist over the whole domain of interest. With the aid of the function, multiple solutions defined over the different parts of the domain can be practically expressed as a single solution. Application problems are selected from mechanical engineering courses such as dynamics, fluid mechanics, heat transfer and mechanical vibrations. The potential application areas are much more general than discussed here, and the function can be applied to many mathematical expressions inheriting discontinuities, which is represented by algebraic or differential equation forms. https://journals.uol.edu.pk/pakjet/article/view/3791Gamma Interval Functions, Dynamics, Fluid Mechanics, Heat Transfer, Mechanical Vibrations, Mechanical Engineering Education |
| spellingShingle | Mehmet Pakdemirli The Use of Gamma Interval Functions in Fundamental Engineering Problems Pakistan Journal of Engineering & Technology Gamma Interval Functions, Dynamics, Fluid Mechanics, Heat Transfer, Mechanical Vibrations, Mechanical Engineering Education |
| title | The Use of Gamma Interval Functions in Fundamental Engineering Problems |
| title_full | The Use of Gamma Interval Functions in Fundamental Engineering Problems |
| title_fullStr | The Use of Gamma Interval Functions in Fundamental Engineering Problems |
| title_full_unstemmed | The Use of Gamma Interval Functions in Fundamental Engineering Problems |
| title_short | The Use of Gamma Interval Functions in Fundamental Engineering Problems |
| title_sort | use of gamma interval functions in fundamental engineering problems |
| topic | Gamma Interval Functions, Dynamics, Fluid Mechanics, Heat Transfer, Mechanical Vibrations, Mechanical Engineering Education |
| url | https://journals.uol.edu.pk/pakjet/article/view/3791 |
| work_keys_str_mv | AT mehmetpakdemirli theuseofgammaintervalfunctionsinfundamentalengineeringproblems AT mehmetpakdemirli useofgammaintervalfunctionsinfundamentalengineeringproblems |