Properties of Soft Vector Space Operations
Abstract: In this work, we study the soft vector space introduced by A. Sezgin Sezer et al. in 2014. We define normal soft sub vector space, normalistic soft vector space, trivial normalistic soft vector space and whole normalistic soft vector space. We also present the properties of operations such as union (∪ ), intersection (∩ ), restricted union (∪𝑅), extended intersection (∩𝐸), restricted difference (~𝑅), AND (⋀ ) and OR (⋁ ) operations and investigate their inter-re...
Properties of Operations on Soft Ideals and Idealistic Soft Ring
Abstract: Soft set theory initiated by Molodtsov is an important mathematical tool that deals with uncertainties about imprecision and vagueness. Research on soft ideals of ring has been carried out by other researchers. In this paper, we discuss on some properties of soft ring ideals and idealistic soft ring. We state and prove some important theorems and propositions on soft ring ideals and idealistic of soft ring that has not been studied by other researchers.
Differential Forms: A Tool for Linearizing Second Order Ordinary Differential Equations
Abstract: In this paper, we presented the differential forms method which is used in the linearization of second order non-linear differential equations. The differential forms used here is limited to 2-forms with their respective operations. After presentation of the method, an example is used to illustrate the procedure of the linearization problem. Keywords Linearization, Differential forms, Differential Equations, Second Order