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...

We report simulations of a two-dimensional, dense, bidisperse system of inelastic hard disks falling down a vertical tube under the influence of gravity. We examine the approach to jamming as the average flow of particles down the tube is slowed by making the outlet narrower. Defining coarse-grained velocity and stress fields, we study two-point temporal and spatial correlation functions of the...

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.

Relative Realities, a media installation by Volkmar Klien, realized in co-operation with Thomas Grill investigates how movement and its perception relates across different media, modes and spaces. The installation’s sonic aspects are generated in real-time in accordance to the installation’s physical movement. This generative music engine is conceptualized and based on physical movement rather ...

Current regulations require that all dead trees over  m tall are felled when an area is being logged (Workers’ Compensation Board regulation .). This clearly protects workers because tree-falling, especially handfalling, is more dangerous when other trees, live or dead, could interfere with the falling tree. Snags must also be removed within . tree heights of work areas. This buffer is i...

A locust placed upside down on a flat surface uses a predictable sequence of leg movements to right itself. To analyse this behaviour, we made use of a naturally occurring state of quiescence (thanatosis) to position locusts in a standardised upside-down position from which they spontaneously right themselves. Locusts grasped around the pronotum enter a state of thanatosis during which the limb...

  Background: Electrical injury is daily compromise of our life and upper and lower extremities   are common sites of injury .   Case Presentation: A 23 years old man who had suffered high voltage electrical injury referred   to our center. He had severe left upper extremity burn and suffered from head and thoracic   injuries due to falling down from high altitude.   Treatment: Fasciotomy of th...

Parkinson's disease is a chronically developing neurodegenerative disease showing typical motor symptoms of the following triad: resting tremor, freezing of gait, and bradykinesia-hypokinesia. In the present study, we investigated the effects of a communal exercise program, using the visual and auditory feedback provided by a smart application, to assess gait ability, fear of falling, and fall ...