Yazar "Aktaş, Büşra" seçeneğine göre listele

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    An overview to analyticity of dual functions
    (Ankara Univ, Fac Sci, 2022) Durmaz, Olgun; Keçilioğlu, Osman; Aktaş, Büşra
    In this paper, the analyticity conditions of dual functions are clearly examined and the properties of the concept derivative are given in detail. Then, using the dual order relation, the dual analytic regions of dual analytic functions are constructed such that a collection of these regions forms a basis on Dn. Finally, the equivalent of the inverse function theorem in dual space is given by a theorem and proved.
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    On constraint manifolds of planar and spherical mechanisms in Lorentzian space
    (Pergamon-Elsevier Science Ltd, 2025) Aktaş, Büşra
    This study aims to investigate the algebraic forms of the constraint manifolds of 4 R and 6 R planar and spherical closed chains in Lorentzian space. For this purpose, firstly, the structure equations of closed chains are obtained by using the structure equations of planar and spherical open chains in Lorentzian space. Then, using these equations, the algebraic forms of the constraint manifolds of 4 R and 6 R planar and spherical closed chains in spacelike and timelike mechanisms are constructed and it is shown which curves these manifolds correspond to.
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    Öğe
    On constraint manifolds of spatial closed chains in Lorentzian space
    (World Scientific Publ Co Pte Ltd, 2024) Aktaş, Büşra; Durmaz, Olgun; Aydın, Öznur
    The objective of this paper is to explore the unexplored algebraic representations of the constraint manifolds associated with 4C and 6C spatial closed chains in Lorentzian space. Initially, we establish the structure equations of spatial closed chains by utilizing the structure equations for spatial open chains in Lorentzian space. Subsequently, we employ these structure equations to derive the algebraic expressions defining the constraint manifolds of 4C and 6C spatial closed chains in Lorentzian space, considering factors such as the causal character of the first link and the rotational axis of the cylindrical joint. This study will finalize all algebraic representations of constraint manifolds for spacelike and timelike mechanisms in Lorentzian space.
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    The inequalities on dual numbers and their topological structures
    (Tubitak Scientific & Technological Research Council Turkey, 2023) Aktaş, Büşra; Durmaz, Olgun; Gündoğan, Halit
    Inequalities are frequently used in various fields of mathematics to prove theorems. The existence of inequalities contributes significantly to the foundations of such branches. In this paper, we study the properties of order relations in the system of dual numbers, which is inspired by order relations defined on real numbers. Besides, some special inequalities that are used in various fields of mathematics, such as Cauchy-Schwarz, Minkowski, and Chebyshev are studied in this framework. An example is also provided to validate our research findings.