A method for finding a unimodular matrix of a power transformation using continued fractions in three-dimensional space

A A Azimov

Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi · 2020-yil

Annotatsiya

When real problems are translated into mathematical language, many of them can be expressed as nonlinear equations. Then the study of these problems is reduced to the solution of equations or the study of their properties. Methods of Power geometry, which includes Newton polyhedra and power transformations, led to solve and resolve these nonlinear equations and their systems in the vicinity of a singular point. This article studies the construction of a unimodular matrix of Power transformation in three-dimensional space by methods of number theory

Maqola ma’lumotlari
MualliflarA A Azimov
JurnalSamarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi
NashriyotСамарқанд давлат университети
ISSN2091-5446, 2181-1296
Nashr sanasi2020-06-03
Jild5
Son123/1
Betlar1-12
TilIngliz
Ilmiy sohaFizika-matematika
DOI10.59251/2181-1296.v5.1231.1428
Indeksga qo‘shilgan2026-09-02

Ilmiy soha

Iqtibos keltirish

APAA A Azimov (2020). A METHOD FOR FINDING A UNIMODULAR MATRIX OF A POWER TRANSFORMATION USING CONTINUED FRACTIONS IN THREE-DIMENSIONAL SPACE. Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 5(123/1), 1-12. https://doi.org/10.59251/2181-1296.v5.1231.1428
GOST (OAK)A A Azimov A METHOD FOR FINDING A UNIMODULAR MATRIX OF A POWER TRANSFORMATION USING CONTINUED FRACTIONS IN THREE-DIMENSIONAL SPACE // Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi. – 2020. – T. 5, № 123/1. – P. 1-12. – DOI: 10.59251/2181-1296.v5.1231.1428.
MLAA A Azimov. “A METHOD FOR FINDING A UNIMODULAR MATRIX OF A POWER TRANSFORMATION USING CONTINUED FRACTIONS IN THREE-DIMENSIONAL SPACE.” Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 5(123/1), 1-12, 2020. https://doi.org/10.59251/2181-1296.v5.1231.1428
ChicagoA A Azimov. “A METHOD FOR FINDING A UNIMODULAR MATRIX OF A POWER TRANSFORMATION USING CONTINUED FRACTIONS IN THREE-DIMENSIONAL SPACE.” Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 5(123/1), 1-12 (2020). https://doi.org/10.59251/2181-1296.v5.1231.1428
HarvardA A Azimov (2020) ‘A METHOD FOR FINDING A UNIMODULAR MATRIX OF A POWER TRANSFORMATION USING CONTINUED FRACTIONS IN THREE-DIMENSIONAL SPACE’, Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 5(123/1), 1-12. https://doi.org/10.59251/2181-1296.v5.1231.1428
BibTeX
@article{aaazimov2020,
  title = {A METHOD FOR FINDING A UNIMODULAR MATRIX OF A POWER TRANSFORMATION USING CONTINUED FRACTIONS IN THREE-DIMENSIONAL SPACE},
  author = {A A Azimov},
  journal = {Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi},
  year = {2020},
  volume = {5},
  number = {123/1},
  pages = {1-12},
  doi = {10.59251/2181-1296.v5.1231.1428},
  url = {https://doi.org/10.59251/2181-1296.v5.1231.1428}
}

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