In the present paper, a twin pair (xn, yn) and (Xn, Yn) of numbers related to one and two variable Tchebychev polynomials of first and second kinds are proposed. Certain Combinatorial Identities of the twin pairs are stated and proved.

In his 1961 paper, Marcel Golay showed how the search for pairs of binary sequences of length n with complementary autocorrelation is at worst a 2 3n 2 −6 problem. Andres, in his 1977 master’s thesis, developed an algorithm which reduced this to a 2 n 2 −1 search and investigated lengths up to 58 for existence of pairs. In this paper, we describe refinements to this algorithm, enabling a 2 n 2 ...

In this paper, we deal with a uniqueness theorem of two nonconstant meromorphic functions that share three values and one pair of polynomials. The results in this paper improve those given by G. G. Gundersen, G. Brosch and other authors.

Identifying binary sequences {} whose autocorrelations {} are jointly as small as possible, for fixed , is important for engineering design purposes. The “best” sequences are those with the largest merit factor  . As an example, the sequence 1−1 1−1 1 1−1−1 1 1 1 1 1 has the largest  value 16912 = 140833 among all such with  = 12. As another example, the sequence 1−1 ...

Article history: Received 5 May 2009 Received in revised form 29 June 2013 Accepted 31 July 2013 Available online 8 August 2013

The main objective of this study is to improve the ultrasound image by employing a new algorithm based on transducer array element beam pattern correction implemented in the synthetic transmit aperture (STA) method combined with emission of mutually orthogonal complementary Golay sequences. Orthogonal Golay sequences can be transmitted and received by different transducer elements simultaneousl...

The weighing lysimeters provide scientist the basic information for research related to the evapotranspiration, high quality of the collected data from lysimeters is of great significance. However there are many factors that can affect the measurement accuracy of the weighing lysimeter. In this paper, a data acquisition system was developed to collect the data from 24 weighing lysimeters. The c...