The origins of family therapy were based on a paradigm proposed by Talbot Parsons in 1954, which held a highly structural and functional view of the family. The characteristics believed to constitute a functional family involved establishing clear and distinct roles for men and women, with the nuclear family providing the accepted standard. (Canino, I.A. & Inclan, J.E., 2001) This view of the f...

In this paper, triangle-free distance-regular graphs with diameter 3 and an eigenvalue θ with multiplicity equal to their valency are studied. Let Γ be such a graph. We first show that θ = −1 if and only if Γ is antipodal. Then we assume that the graph Γ is primitive. We show that it is formally self-dual (and hence Q-polynomial and 1-homogeneous), all its eigenvalues are integral, and the eige...

In the early 1950s, Golay studied binary sequence pairs whose autocorrelation properties are ideal for use in the design of multislit spectrometers. He found examples for some small lengths, but, unable to find more, he suggested that perhaps further examples do not exist and turned his attention to an alternative solution to the design problem (involving what are now called Golay complementary...

A k-ary charm bracelet is an equivalence class of length n strings with the action on the indices by the additive group of the ring of integers modulo n extended by the group of units. By applying an O(n3) amortized time algorithm to generate charm bracelet representatives with a specified content, we construct 29 new periodic Golay pairs of length 68.

In this paper from q-ary perfect codes a new completely regular q-ary codes are constructed. In particular two new ternary completely regular codes are obtained from the ternary Golay [11,6,5] code and new families of q-ary completely regular codes are obtained from q-ary 1-perfect codes.

Y. Shen, I. M. Pu, R. A. Kauppinen, and X. Golay School of Medicine, University of Birmingham, Birmingham, United Kingdom, Department of Computing, Goldsmiths, University of London, London, United Kingdom, Biomedical NMR Research Center, Dartmouth Medical School, Hanover, NH 03755, United States, Department of Brain Repair and Rehabilitation, Institute of Neurology, University College London, L...

E. De Vita, D. L. Thomas, M. Günther, and X. Golay Lysholm Department of Neuroradiology, National Hospital for Neurology and Neurosurgery, London, United Kingdom, Medical Physics and Bioengineering, University College London, London, United Kingdom, Institute of Neurology, University College London, London, United Kingdom, Mediri GmbH, Heidelberg, Germany, Fraunhofer MEVIS-Institute for Medical...

A construction of hexagonal shaped 8-point QAM called H8QAM is shown. It is shown that H8QAM constellation outperforms the conventional rectangular constellation and 8-PSK. Further, we construct H8QAM sequences having low peak-to-mean envelope power ratios (PMEPR) from QPSK Golay sequences. Various upper bounds on peak envelope powers of these sequences are evaluated.

Sequences with identical nonperiodic autocorrelation functions have recently been used to construct Golay sequences different than the Davis-Jedwab construction. In this thesis, we construct infinite families of quaternary sequences with identical nonperiodic autocorrelation functions. These results demonstrate that current constructions for quaternary families are not all encompassing and need...

We present a technique to derive -quadrature amplitude modulation (QAM) signals from quaternary phase-shift keying (QPSK) constellations when = 2 and is an even number. By utilizing QPSK Golay sequences, we have constructed -QAM sequences with low peak-to-mean envelope power ratios. Several upper bounds for these -QAM sequences were derived.