Theoretical foundations and computer implementation of rational parameterization of algebraic manifolds in the maple system

N. Usmonova

Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi · 2026-yil

Annotatsiya

We considered the main theoretical aspects of the parameterization of algebraic manifolds. Presented calculations of parameterization, both in a computer algebra system and manually. For clarity, we also implemented calculations in the Maple computer algebra system using the algcurves package. Based on the results, a detailed algorithm for calculating the parameterization of algebraic curves was also developed. Thus, the theoretical research was completed with practical implementation, confirming the correctness of the approach.

Maqola ma’lumotlari
MualliflarN. Usmonova
JurnalSamarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi
NashriyotСамарқанд давлат университети
ISSN2091-5446, 2181-1296
Nashr sanasi2026-01-01
Jild1
Son2
Betlar137-142
TilIngliz
DOI10.59251/2181-3973.2025.v1.138.1.3834
Indeksga qo‘shilgan2026-09-02

Iqtibos keltirish

APAN. Usmonova (2026). THEORETICAL FOUNDATIONS AND COMPUTER IMPLEMENTATION OF RATIONAL PARAMETERIZATION OF ALGEBRAIC MANIFOLDS IN THE MAPLE SYSTEM. Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 1(2), 137-142. https://doi.org/10.59251/2181-3973.2025.v1.138.1.3834
GOST (OAK)N. Usmonova THEORETICAL FOUNDATIONS AND COMPUTER IMPLEMENTATION OF RATIONAL PARAMETERIZATION OF ALGEBRAIC MANIFOLDS IN THE MAPLE SYSTEM // Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi. – 2026. – T. 1, № 2. – P. 137-142. – DOI: 10.59251/2181-3973.2025.v1.138.1.3834.
MLAN. Usmonova. “THEORETICAL FOUNDATIONS AND COMPUTER IMPLEMENTATION OF RATIONAL PARAMETERIZATION OF ALGEBRAIC MANIFOLDS IN THE MAPLE SYSTEM.” Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 1(2), 137-142, 2026. https://doi.org/10.59251/2181-3973.2025.v1.138.1.3834
ChicagoN. Usmonova. “THEORETICAL FOUNDATIONS AND COMPUTER IMPLEMENTATION OF RATIONAL PARAMETERIZATION OF ALGEBRAIC MANIFOLDS IN THE MAPLE SYSTEM.” Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 1(2), 137-142 (2026). https://doi.org/10.59251/2181-3973.2025.v1.138.1.3834
HarvardN. Usmonova (2026) ‘THEORETICAL FOUNDATIONS AND COMPUTER IMPLEMENTATION OF RATIONAL PARAMETERIZATION OF ALGEBRAIC MANIFOLDS IN THE MAPLE SYSTEM’, Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 1(2), 137-142. https://doi.org/10.59251/2181-3973.2025.v1.138.1.3834
BibTeX
@article{nusmonova2026,
  title = {THEORETICAL FOUNDATIONS AND COMPUTER IMPLEMENTATION OF RATIONAL PARAMETERIZATION OF ALGEBRAIC MANIFOLDS IN THE MAPLE SYSTEM},
  author = {N. Usmonova},
  journal = {Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi},
  year = {2026},
  volume = {1},
  number = {2},
  pages = {137-142},
  doi = {10.59251/2181-3973.2025.v1.138.1.3834},
  url = {https://doi.org/10.59251/2181-3973.2025.v1.138.1.3834}
}

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