Evaluated Rayleigh integrals for delta‐function driven circular membranes

Miscellanea Rayleigh Test for Randomness of Circular Data

Critical values of the,Rayleigh test for testing whether the population of circular data from which a sample is drawn differs from randomness are sometimes presented in an inconvenient form (Batschelet, 1981) which makes it necessary to interpolate to obtain a value at a chosen probability level. Even when the values are presented at fixed probability levels (Mardia, 1972) it can be useful for ...

Capability Indices for Rayleigh Process

Monitoring, control and improvement of quality are  important  for companies.  Process capability indices (PCIs) are tools widely used by the industries to determine  the quality of their products and the performance of their manufacturing processes. Classic versions of  these  indices were constructed for processes whose quality characteristics have  a  normal distribution. But, many of these ...

a cauchy-schwarz type inequality for fuzzy integrals

نامساوی کوشی-شوارتز در حالت کلاسیک در فضای اندازه فازی برقرار نمی باشد اما با اعمال شرط هایی در مسئله مانند یکنوا بودن توابع و قرار گرفتن در بازه صفر ویک می توان دو نوع نامساوی کوشی-شوارتز را در فضای اندازه فازی اثبات نمود.

Vibration Analysis for Rectangular Plate Having a Circular Central Hole with Point Support by Rayleigh-Ritz Method

In this paper, the transverse vibrations of rectangular plate with circular central hole have been investigated and the natural frequencies of the mentioned plate with point supported by Rayleigh-Ritz Method have been obtained. In this research, the effect of the hole is taken into account by subtracting the energies of the hole domain from the total energies of the whole plate. To determine th...

Quadrature Rules for Fuzzy Integrals