in this paper‎, ‎we study the extremal‎ ‎ranks and inertias of the hermitian matrix expression $$‎ ‎f(x,y)=c_{4}-b_{4}y-(b_{4}y)^{*}-a_{4}xa_{4}^{*},$$ where $c_{4}$ is‎ ‎hermitian‎, ‎$*$ denotes the conjugate transpose‎, ‎$x$ and $y$ satisfy‎ ‎the following consistent system of matrix equations $a_{3}y=c_{3}‎, ‎a_{1}x=c_{1},xb_{1}=d_{1},a_{2}xa_{2}^{*}=c_{2},x=x^{*}.$ as‎ ‎consequences‎, ‎we g...

reliability investigation has always been one of the most important issues in power systems planning. the outages rate in power system reflects the fact that more attentions should be paid on reliability indices to supply consumers with uninterrupted power. using reliability indices in economic dispatch problem may lead to the system load demand with high reliability and low probability of powe...

Introduction: Thermal inertia derived from Thermal Emission Spectrometer (TES) data at 20-ppd [1-2] is the highest spatial resolution global thermal inertia dataset currently available. This valuable dataset is important for understanding regional variations in thermal inertia, and for inferring the physical nature of the surface at 10s to 100s of km scales. However, the resolution of TES (~3 k...

An effective integrated design optimization method is developed to reduce the maximum von Mises stress around vent holes of a high-pressure turbine sealing disk. It mainly includes four different shape designs (circular, elliptical, race-track, and four-arc) for holes, an updated self-developed modelling meshing tool, APDL-based strength analysis, self-proposed efficient switching delayed parti...

The relationship between the pedaling power and the speed with road cycling can be described in the form of a dynamical system, that accounts for the inertia and several kinds of mechanical friction. Six out of twelve involved constant parameters are known or can be measured, whereas the determination of the remaining six parameters is prohibitive and depends on the specific cyclist, the bicycl...

As the world marches deeper into the unknown passageway of digital revolution, it is becoming apparent that the tremendous benefits of the internet age are being challenged by the formidable menace of cyber-crime, not the least in the African region. While African States vary in the degree to which their economies and peoples are affected by cyber-crime, there is no gainsaying the fact that the...

Dystocia means difficult birth or inability to expel foetuses through the birth canal. The aetiology of dystocia may be maternal or foetal. Primary uterine inertia is the most common reason for dystocia in the bitch approaching 75% of the cases. The objective of this thesis was to investigate the incidence of dystocia and to find causes of primary uterine inertia. Also the treatment regimes for...