Abstract Fix an irrational number $$\alpha $$ α , and consider a random walk on the circle in which at each step one moves to $$x+\alpha x + or $$x-\alpha - with probabilities 1/2, 1/2 provided current position is x . If observable give...

Let μ $$ \mu be a finite Borel measure on [ 0,1 ) \left[0,1\right) . In this paper, we consider the generalized integral type Hilbert operator I α + 1 ( f z = ∫ 0 t − d > {\mathcal{I}}_{\mu_{\alpha +1}}(f)(z)={\int}_0^1\frac{f(t)}{{\left(1- tz\right)}^{\alpha +1}} d\mu (t)\kern0.30em \left(\alpha >-1\right). ...

This study investigated the proposition of relaxation offered by performing the Muslim prayers by measuring the alpha brain activity in the frontal (F3-F4), central (C3-C4), parietal (P3-P4), and occipital (O1-O2) electrode placements using the International 10-20 System. Nine Muslim subjects were asked to perform the four required cycles of movements of Dhuha prayer, and the EEG were subsequen...

Alpha-tocopherol transfer protein (alpha-TTP) is a liver cytosolic transport protein that faciliates alpha-tocopherol (alpha-T) transfer into liver secreted plasma lipoproteins. Genetic defects in alpha-TTP, like dietary vitamin E deficiency, are associated with infertility, muscular weakness and neurological disorders. Both human and alpha-TTP deficient (alpha-TTP(-/-)) mice exhibit severe pla...

Alpha amylase family is generally defined as a group of enzymes that can hydrolyse and transglycosylase α-(1, 4) or α-(1, 6) glycosidic bonds along with the preservation of anomeric configuration. For the comparative analysis of alpha amylase family, nucleotide sequences of seven thermo stable organisms of Kingdom Archea i.e. Pyrococcus furiosus (100-105°C), Kingdom Prokaryotes i.e. Bacillus li...

In this paper, we introduce a wide class of space-fractional and time-fractional semidiscrete Dirac operators Lévy–Leblond type on the space-time lattice h Z n × [ 0 , ∞ ) $h{\mathbb {Z}}^n\times [0,\infty )$ ( > $h>0$ ), resembling to fractional counterparts so-called parabolic operators. The methods adopted here are fairly operational, relying mostly algebraic manipulations involving Clifford...

In maltose syrup production, one of the critical processing stages is starch conversion process. During this process, reaction time and enzyme concentrations are two important parameters to obtain standard sugar spectrum. The purpose study is; i) find optimum during ii) determine process control dynamic in production. different amounts beta alpha-amylase enzymes (0.10, 0.15, 0.20 0.25 ml β-amyl...

Intermetallic compounds (IMCs), known for their hardness, play an important role in the precipitation strengthening of alloys. However, excessive amounts or as large particles can result embrittlement material. Thus, controlling distribution IMCs among matrix is crucial design strong and ductile In this research, a supersaturated Ti-Cu alloy formed by Laser Powder Bed Fusion (L-PBF) was heat-tr...