Ellipses have long played a part in architecture. For instance, more than 4000 years ago in the Middle Minoan period a large oval house was built in Crete [1], while up to the present day in many parts of Africa, India, and Europe oval huts and houses were commonplace [2]. The Romans embraced the ellipse, and employed it on a vast scale in their ampitheatres [3]. In the Baroque period of the Re...

Phasic left ventricular wall force and wall thickness were monitored with appropriate transducers to provide a direct measurement of circumferential wall stress in open-chest dogs. Left ventricular pressure and measurements of chamber geometry were used to estimate the wall stress using several geometric models. During the initial control period, peak and end-ejection measured wall stresses wer...

Quantum corrals present interesting properties due to the combination of confinement and, in the case of elliptical corrals, to their focalizing properties. We study the case when two magnetic impurities are added to the non-interacting corral, where they interact via a superexchange AF interaction J with the surface electrons in the ellipse. Previous results showed that, when both impurities a...

It is known that humans can modify the impedance of the musculoskeletal periphery, but the extent of this modification is uncertain. Previous studies on impedance control under static conditions indicate a limited ability to modify impedance, whereas studies of impedance control during reaching in unstable environments suggest a greater range of impedance modification. As a first step in accoun...

Bone density may influence the primary fixation of cementless implants, and poor bone density may increase the risk of implant failure. Before deciding on using total joint replacement as treatment in osteoarthritis of the trapeziometacarpal joint, it is valuable to determine the trapezium bone density. The aim of this study was to: (1) determine the correlation between measurements of bone min...

Pitting corrosion is one of the most common forms of localized corrosion. Corrosion pit results in a stress concentration and fatigue cracks usually initiate and propagate from these corrosion pits. Aging structures may fracture when the fatigue crack reaches a critical size. This paper experimentally simulates the effects of pitting morphologies on the static and fatigue behavior of steel bars...

We discuss the problem of reflection light on spherical and quadric surface mirrors. In case mirrors, this is known as Alhazen problem. For mirror problem, we focus property an ellipse show that catacaustic curve unit circle follows naturally from equation obtained ellipse. Moreover, provide algebraic solves Alhazen's for

In this paper, we studied about a detailed analysis of fuzzy ellipse. the previously studies, some methods for parabola are discussed (Ghosh and Chakraborty,2019). To define ellipse, it is necessary to modify method applied parabola. First, need get five same points with membership grade create crisp ellipse union ellipses passing through these will form Although difficult determine property, i...

We formulate the six-vertex model with domain wall boundary conditions in terms of an integral over Grassmann variables. Relying on this formulation, we propose a method calculation correlation functions for case weights satisfying free-fermion condition. consider here details one-point function describing probability given state arbitrary edge lattice. show that thermodynamic limit performed s...

The Schwarz problem for J-analytic functions in an ellipse is considered. In this case, the matrix J assumed to be two-dimensional with different eigenvalues located above real axis. reduced equivalent boundary value scalar functional equation depending on parameter l. This determined by Jordan basis of J. An analysis was performed. It shown that l∈[0,1], solution exists uniquely Hölder classes...