A New Difference Sequence Set of Orderαand Its Geometrical Properties

Some Topological and Geometrical Properties of a New Difference Sequence Space

and Applied Analysis 3 2. ap Δ Difference Sequence Space In the present section, we introduce the difference sequence space ap Δ and emphasize its some properties. Although the difference sequence space λ Δ corresponding to the space λ was defined by Kızmaz 10 as follows: λ Δ {x xk ∈ ω : xk − xk 1 ∈ λ}, 2.1 the difference sequence space corresponding to the space p was not examined, where λ den...

A New Almost Difference Set Construction

This paper considers the appearance of almost difference sets in non-abelian groups. While numerous construction methods for these structures are known in abelian groups, little is known about ADSs in the case where the group elements do not commute. This paper presents a construction method for combining abelian difference sets into nonabelian almost difference sets, while also showing that at...

A New Class of Banach Sequence Spaces

Effects of geometrical and geomechanical properties on slope stability of open-pit mines using 2D and 3D finite difference methods

Slope stability analysis is one of the most important problems in mining and geotechnical engineering. Ignoring the importance of these problems can lead to significant losses. Selecting an appropriate method to analyze the slope stability requires a proper understanding of how different factors influence the outputs of the analyses. This paper evaluates the effects of considering the real geom...

Some geometrical properties of the oscillator group

‎We consider the oscillator group equipped with‎ ‎a biinvariant Lorentzian metric‎. ‎Some geometrical properties of this space and the harmonicity properties of left-invariant vector fields on this space are determined‎. ‎In some cases‎, ‎all these vector fields are critical points for the energy functional‎ ‎restricted to vector fields‎. ‎Left-invariant vector fields defining harmonic maps are...