This paper is devoted to the discussion the relationships of connectedness between some types of graphs (resp. digraph) and Gm-closure spaces by using graph closure operators.

We define and study new ideas of fibrewise topological space namely fibrewise multi-topological space . We also submit the relevance of fibrewise closed and open topological space . Also fibrewise multi-locally sliceable and fibrewise multi-locally section able multi-topological space . Furthermore, we propose and prove a number of statements about these ideas. On the other hand, extend separation axioms of ordinary topology into fibrewise setting. The separation axioms are said to be fibrewise multi-T0. spaces, fibrewise multi-T1spaces, fibrewise multi-R0 spaces, fibrewise multi-Hausdorff spaces, fibrewise multi-functionally Hausdorff spaces, fibrewise multi-regular spaces, fibrewise multi-completely regular spaces, fibrewise multi-normal

This Paper introduces a new local function ϕSζ∗ in a Grill topological space (Ẋ, ζ, τ) by using a semi open set, which is a superset of the local function ϕζ. Additionally, two equivalent operators, Ψs and ΓS that define topology τSζ, were devised based on ϕSζ∗, along with the presentation of various characteristics and properties ofϕ∗Sζ and the two equivalent operators, Ψs and ΓS. Additionally, newly created sets with weakly open properties (ϕSζ∗.open,ζ s.α-open, ζ s.pre.open, ζ s.semi.open) were established and their interrelations were proofed and diagrams that illustrate the relationship between them. For speed and accuracy of completing counterexamples, creating a computer program with original codes we

Here, we found an estimation of best approximation of unbounded functions which satisfied weighted Lipschitz condition with respect to convex polynomial by means of weighted Totik-Ditzian modulus of continuity

An approximate solution of the liner system of ntegral cquations fot both fredholm(SFIEs)and Volterra(SIES)types has been derived using taylor series expansion.The solusion is essentailly

Basketball is a high-intensity competitive game that requires the athletes to have anaerobic as well as aerobic fitness, which means that basketball players need to sustain high rates of movement, repeated sprinting efforts, and high-intensity activity over prolonged periods of time. In comparison, the use of endurance and recovery regimes assist in maximizing players’ performance and minimizing fatigue. The purpose of this study was to examine the effects of structured endurance training on lactic acid metabolism, fatigue tolerance, and speed endurance in professional basketball players. Although previous publications primarily focus on broad-based conditioning and recovery methods there is an absence of data specific to the effect

This paper presents a new transform method to solve partial differential equations, for finding suitable accurate solutions in a wider domain. It can be used to solve the problems without resorting to the frequency domain. The new transform is combined with the homotopy perturbation method in order to solve three dimensional second order partial differential equations with initial condition, and the convergence of the solution to the exact form is proved. The implementation of the suggested method demonstrates the usefulness in finding exact solutions. The practical implications show the effectiveness of approach and it is easily implemented in finding exact solutions.

       Finally, all algori

This study aimed to investigate the incorporation of recycled waste compact discs (WCDs) powder in concrete mixes to replace the fine aggregate by 5%, 10%, 15% and 20%. Compared to the reference concrete mix, results revealed that using WCDs powder in concrete mixes improved the workability and the dry density. The results demonstrated that the compressive, flexural, and split tensile strengths values for the WCDs-modified concrete mixes showed tendency to increase above the reference mix. However, at 28 days curing age, the strengths values for WCDs-modified concrete mixes were comparable to those for the reference mix. The leaching test revealed that none of the WCDs constituents was detected in the leachant after 180 days. The

The electrospun nanofibers membranes (ENMs) have gained great attention due to their superior performance. However, the low mechanical strength of ENMs, such as the rigidity and low strength, limits their applications in many aspects which need adequate strength, such as water filtration. This work investigates the impact of electrospinning parameters on the properties of ENMs fabricated from polyacrylonitrile (PAN) solved in N, N-Dimethylformamide (DMF). The studied electrospinning parameters were polymer concentration, solution flow rate, collector rotating speed, and the distance between the needle and collector. The fabricated ENMs were characterized using scanning electron microscopy (SEM) to understand the surface morphology and es