A method of matrix amplitude-phase synthesis a flat antenna array with module failures according to the requirements for envelope side lobes is proposed. The problem reduced finding extremum Rayleigh ratio two Hermitian forms, one which takes into account and positively determined. proposed differs from known ones by an iterative procedure searching weight function formation integral coefficien...

A line packing is optimal if its coherence as small possible. Most interesting examples of packings are achieving equality in some the known lower bounds for coherence. In this paper two infinite families real and complex biangular presented. New achieve or second Levenshtein bound respectively. Both constructed by analyzing well representations finite groups SL(2,Fq). Until now only meeting we...

Let $a, b, k,in K$ and $u, v in U(K)$. We show for any idempotent $ein K$, $(a 0|b 0)$ is e-clean iff $(a 0|u(vb + ka) 0)$ is e-clean and if $(a 0|b 0)$ is 0-clean, $(ua 0|u(vb + ka) 0)$ is too.

We prove that if there exist Hadamard matrices of order 4m, 4n, 4p, and 4q then there exists an Hadamard matrix of order 16mnpq. This improves and extends the known result of Agayan that there exists a Hadamard matrix of order 8mn if there exist Hadamard matrices of order 4m and 4n. Disciplines Physical Sciences and Mathematics Publication Details R. Craigen, Jennifer Seberry and Xian-Mo Zhang,...

BACKGROUND Empirically supported treatments for eating disorders, such as cognitive-behavioral therapy and family-based treatment, stress the importance of weighing patients during therapy and using this information as part of treatment. However, weighing practices vary widely across eating disorders professionals, including those that purport to provide empirically supported interventions. O...