NeutroGeometry and NeutroAlgebra: A Mathematical Framework for the Sustainable Development of College Music Education in the New Era
This paper develops a precise and rigorous mathematical framework for NeutroGeometry and NeutroAlgebra, aiming to support the sustainable development of college music education in the new era. These theories generalize classical algebraic and geometric structures by introducing partial truth, indete...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
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University of New Mexico
2025-07-01
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| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | https://fs.unm.edu/NSS/7NeutroGeometry.pdf |
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| Summary: | This paper develops a precise and rigorous mathematical framework for NeutroGeometry and NeutroAlgebra, aiming to support the sustainable development of college music education in the new era. These theories generalize classical algebraic and geometric structures by introducing partial truth, indeterminacy, and partial falsehood, reflecting the dynamic and flexible nature of musical learning and performance. We define the fundamental laws, establish key equations, and provide clear examples. Additionally, we propose innovative extensions to these concepts, showing how they can transform the evaluation and growth of college music education to be more adaptive, creative, and sustainable. |
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| ISSN: | 2331-6055 2331-608X |