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...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of New Mexico
2025-07-01
|
| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | https://fs.unm.edu/NSS/7NeutroGeometry.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849338806485909504 |
|---|---|
| author | Fang Chen |
| author_facet | Fang Chen |
| author_sort | Fang Chen |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-b7441de4d6474c978aa97f6f6c5ed686 |
| institution | Kabale University |
| issn | 2331-6055 2331-608X |
| language | English |
| publishDate | 2025-07-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj-art-b7441de4d6474c978aa97f6f6c5ed6862025-08-20T03:44:18ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2025-07-0187778510.5281/zenodo.15588316NeutroGeometry and NeutroAlgebra: A Mathematical Framework for the Sustainable Development of College Music Education in the New Era Fang ChenThis 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. https://fs.unm.edu/NSS/7NeutroGeometry.pdfsustainable developmentcollege music educationneutrogeometryneutroalgebraneutrosophic tripletpartial truthindeterminacyinnovative teaching |
| spellingShingle | Fang Chen NeutroGeometry and NeutroAlgebra: A Mathematical Framework for the Sustainable Development of College Music Education in the New Era Neutrosophic Sets and Systems sustainable development college music education neutrogeometry neutroalgebra neutrosophic triplet partial truth indeterminacy innovative teaching |
| title | NeutroGeometry and NeutroAlgebra: A Mathematical Framework for the Sustainable Development of College Music Education in the New Era |
| title_full | NeutroGeometry and NeutroAlgebra: A Mathematical Framework for the Sustainable Development of College Music Education in the New Era |
| title_fullStr | NeutroGeometry and NeutroAlgebra: A Mathematical Framework for the Sustainable Development of College Music Education in the New Era |
| title_full_unstemmed | NeutroGeometry and NeutroAlgebra: A Mathematical Framework for the Sustainable Development of College Music Education in the New Era |
| title_short | NeutroGeometry and NeutroAlgebra: A Mathematical Framework for the Sustainable Development of College Music Education in the New Era |
| title_sort | neutrogeometry and neutroalgebra a mathematical framework for the sustainable development of college music education in the new era |
| topic | sustainable development college music education neutrogeometry neutroalgebra neutrosophic triplet partial truth indeterminacy innovative teaching |
| url | https://fs.unm.edu/NSS/7NeutroGeometry.pdf |
| work_keys_str_mv | AT fangchen neutrogeometryandneutroalgebraamathematicalframeworkforthesustainabledevelopmentofcollegemusiceducationinthenewera |