We establish long-time existence of Banach gradient flows for generalised integral Menger curvatures and tangent-point energies, O'Hara's self-repulsive potentials $E^{\alpha,p}$. In order to do so, we employ the theory curves maximal slope in slightly smaller spaces compactly embedding into respective energy associated these functionals, add a term involving logarithmic strain, which controls ...

‎In this paper‎, ‎a matrix based method is considered for the solution of a class of nonlinear Volterra integral equations with a kernel of the general form $s^{beta}(t-s)^{-alpha}G(y(s))$ based on the Tau method‎. ‎In this method‎, ‎a transformation of the independent variable is first introduced in order to obtain a new equation with smoother solution‎. ‎Error analysis of this method is also ...

The aim of this work is to analyze the micro mechanisms underlying the wear of macroscale tools during diamond machining of SiCp/Al6063 composites and to develop the mechanism-based diamond wear model in relation to the dominant wear behaviors. During drilling, high volume fraction SiCp/Al6063 composites containing Cu, the dominant wear mechanisms of diamond tool involve thermodynamically activ...

OBJECTIVES To investigate the factor structure, validity, and reliability of the bodybuilding dependence scale and to investigate differences in bodybuilding dependence between men and women and competitive and non-competitive bodybuilders. METHODS Seventy two male competitive bodybuilders, 63 female competitive bodybuilders, 87 male non-competitive bodybuilders, and 63 non-competitive female...

Let $$p\in [1,\infty ]$$ , $$q\in )$$ $$s\in \mathbb {Z}_+:=\mathbb {N}\cup \{0\}$$ $$\alpha \in {R}$$ and $$\beta (0,1)$$ . In this article, the authors first find a reasonable version $$\widetilde{I}_{\beta }$$ of (generalized) fractional integral $$I_{\beta on special John–Nirenberg–Campanato space via congruent cubes, $$JN_{(p,q,s)_{\alpha }}^{\textrm{con}}(\mathbb {R}^n)$$ which coincides ...

This article introduces a design of Low Noise Amplifier (LNA), for the field diamond particle detectors. amplifier is described from simulation to measurements, which include pulses {\alpha} particles detection. In hadron therapy, with high-frequency pulsed beams, detector promising candidate beam monitoring and time-stamping, prerequisite fast electronics. The LNA designed surface mounted comp...

Diamond thin films with a broad range of microstructures from a ultrananocrystalline diamond (UNCD) form developed at Argonne National Laboratory to a microcrystalline diamond (MCD) form have been grown with different hydrogen percentages in the Ar/CH4 gas mixture used in the microwave plasma enhanced chemical vapor deposition (CVD) process. The dielectric properties of the CVD diamond thin fil...

Recently‎, some researchers have established some results on existence of endpoints for multivalued mappings. In particular, Mohammadi and Rezapour's [Endpoints of Suzuki type quasi-contractive multifunctions, U.P.B. Sci. Bull., Series A, 2015] used the technique of $alpha-psi$-contractive mappings, due to Samet et al. (2012), to give some results about endpoints of Suzuki type quasi-contractiv...

Anirudha V. Sumant, Orlando Auciello, Robert W. Carpick, Sudarsan Srinivasan, and James E. Butler of smooth diamond films with uniform thickness and micro/nanostructure over large area substrates (≥150 mm diameter wafer), as recently demonstrated.1 Growth of thin (0.1 to 5 micron thick) diamond films on nondiamond substrates, typically conventional electronic substrates such as Si, SiC, and AlN...

This paper presents fast moving window algorithms for calculating local statistics in a diamond, hexagon, and general polygonal shaped windows of an image which is important for real-time applications. The algorithms for a diamond shaped window requires only seven or eight additions and subtractions per pixel. A fast sparse algorithm only needs four additions and subtractions for a sparse diamo...