TY - JOUR
AU - Аушева, Наталія Миколаївна
PY - 2013/12/24
Y2 - 2023/12/06
TI - Modeling of planar networks based on the fractional-rational curves isotropic
JF - Technology audit and production reserves
JA - TAPR
VL - 6
IS - 4(14)
SE - Mathematical Modeling - Applied Aspects
DO - 10.15587/2312-8372.2013.19567
UR - https://journals.uran.ua/tarp/article/view/19567
SP - 41-43
AB - <br clear="all" /><p>Application of the theory of isotropic curves in the construction of planar networks with specific properties for using in various applied problems is considered in the paper. The main objective is to develop a new method for constructing planar orthogonal and isothermal coordinate networks, based on the isotropic fractional-rational n-th order curves. Modeling of isotropic fractional-rational curves, based on the isotropic sides of the characteristic polygons is considered in the paper. The conditions for the position of the reference points are given. It is proved that the weight value does not affect the construction of the isotropic curve. The ratio for the construction of such networks using the conformal mapping is obtained. It is proved that the parametric partial derivatives will satisfy the Cauchy-Riemann equations. The method was developed for further use in surface modeling in three-dimensional space.</p>
ER -