We investigate non-homogeneous linear differential equations of the form x′′(t) + x′(t) − x (t) = p (t) where p (t) is either a polynomial or a factorial polynomial in t. We express the solution of these differential equations in terms of the coefficients of p (t), in the initial conditions, and in the solution of the corresponding homogeneous differential equation y′′(t) + y′(t) − y (t) = 0 wi...

Insomnia disorder is characterized by chronic dissatisfaction with sleep quantity or quality that is associated with difficulty falling asleep, frequent nighttime awakenings with difficulty returning to sleep, and/or awakening earlier in the morning than desired. Although progress has been made in our understanding of the nature, etiology, and pathophysiology of insomnia, there is still no univ...

Wettability patterning of a surface is passive method to manipulate the flow and heat transport mechanism in many physical processes industrial applications. This paper proposes rational wettability pattern comprised multiple superhydrophilic wedges on superhydrophobic background, which can continuously remove impacted spray droplets from horizontal surface. We observed that falling wedge regio...

Falls are serious health problems among older adults, and are the leading cause of fatal and nonfatal injuries treated by emergency medical services (EMS). Although considerable research has examined the risk factors of falls at the individual level, relatively few studies have addressed the risk factors at the neighborhood level. This study examines the characteristics of neighborhood environm...

In this article, improved bounds for (kn)! and the factorial polynomial are obtained using Kober’s inequality and Lagrange’s identity.

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the objective of this research is to develop an accurate numerical method to be used in showing the deformation of a liquid fuel droplet in a convective field. to simultaneously solve the internal liquid droplet flow field as well as the external gas phase flow field, a nonstaggered rectangular grid system without any coordinate transformation is used. transition from the gas field to the liqui...

The potential for nanofuels as one of the clean sources of energy on account of its enhanced combustion performance coupled with low emissions has been established. Considering the importance of the fuel evaporation phase in the entire combustion process, this work presents an attempt at applying the steady state analysis equations to nanofuel experimental data obtained from the li...

The collision efficiencies of small cloud droplets are calculated in a turbulent flow. A flow w velocity field was generated using a model of isotropic turbulence Pinsky, M.B., Khain, A.P., 1995. A model of homogeneous isotropic turbulence flow and its application for simulation of cloud drop tracks. Geophys. Astrophys. Fluid Dyn. 81, 33–55; Pinsky, M.B., Khain, A.P., 1996. x Simulations of dro...