A SPECIAL INTERPRETATION OF THE CONCEPT CONSTANT BREADTH FOR A SPACE CURVE

Küçük Resim Yok

Tarih

2019

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Vinca Inst Nuclear Sci

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

The definition of curve of constant breadth in the literature is made by using tangent vectors, which are parallel and opposite directions, at opposite points of the curve. In this study, normal vectors of the curve, which are parallel and opposite directions are placed at the exit point of the concept of curve of constant breadth. In this study, on the concept of curve of constant breadth according to normal vector is worked. At the conclusion of the study, is obtained a system of linear differential equations with variable coefficients characterizing space curves of constant breadth according to normal vector. The coefficients of this system of equations are functions depend on the curvature and torsion of the curve. Then is obtained an approximate solution of this system by using the Taylor matrix collocation method. In summary, in this study, a different interpretation is made for the concept of space curve of constant breadth, the first time. Then this interpretation is used to obtain a characterization. As a result, this characterization we 've obtained is solved.

Açıklama

Anahtar Kelimeler

constant breadth, special curves in space, Taylor matrix collocation method

Kaynak

Thermal Science

WoS Q Değeri

Q3

Scopus Q Değeri

Q3

Cilt

23

Sayı

Künye