Shannon wavelets are used to define a method for the solution of integrodifferential equations. This method is based on 1 the Galerking method, 2 the Shannon wavelet representation, 3 the decorrelation of the generalized Shannon sampling theorem, and 4 the definition of connection coefficients. The Shannon sampling theorem is considered in a more general approach suitable for analysing function...

In this final set of notes, we would like to end where we began. In the first set of notes, we mentioned that mathematics could be used to show how CDs and MP3s can reproduce our music well, even though the file sizes of MP3s are relatively small. In this set of notes, we attempt to describe how this is possible. Surprisingly, the exponential function will play a key role. We assume familiarity...

In many life-testing and reliability studies, the experimenter might not always obtain complete information on failure times for all experimental units. One of the most common censoring schemes is progressive type-II censoring. The aim of this paper is characterizing the parent distributions based on Shannon entropy of progressive type-II censored order statistics. It is shown that the equality...

evaluation diversity of agricultural plants and effectiveness of management factors in non-hunting of gharaviz abstract biodiversity is the basis of agriculture. sustainable agriculture both promotes and is enhanced by biodiversity. during present study, agrobiodiversity and management factors were investigated in three villages of gharaviz area and four villages in surroundings area, in sarpol...