OBJECTIVES To determine the spectrum of mutations in the Mediterranean fever gene (MEFV) of Iranian Jews with familial Mediterranean fever (FMF) and to analyse their clinical manifestations. METHODS FMF patients with both parents of Iranian-Jewish (IJ) extraction or with one IJ parent (IJ-other, 10 of each) were characterized for clinical manifestations, and the B30.2 (PRYSPRY) domain of thei...

Let ??RN be a smooth bounded domain. In this paper we investigate the existence of least energy positive solutions to following Schrödinger system with d?2 equations??ui+?iui=|ui|p?2ui?j=1d?ij|uj|p in ?,ui=0 on ??,i=1,...,d, case critical exponent 2p=2?=2NN?2 high dimensions N?5. We treat focusing (?ii>0 for every i) variational setting ?ij=?ji i?j, dealing Brézis-Nirenberg type problem: ??1(?)...

The non-linear relation between electric polarization and electric field strength is achieved through introducing the retarded electromagnetic interactions between classical charge particles. The result agrees with the phenomenological theory in current non-linear optics, means that the non-linear phenomena in optics come from the retarded electromagnetic interaction between charged particles. ...

Given matrices of the same size, A = a ij ] and B = b ij ], we deene their Hadamard Product to be A B = a ij b ij ]. We show that if x i > 0 and q p 0 then the n n matrices q j # are positive deenite and relate these facts to some matrix valued arithmetic-geometric-harmonic mean inequalities-some of which involve Hadamard products and others unitarily invariant norms. It is known that if A is p...

Abstract. Consider a N × n random matrix Yn = (Y n ij ) where the entries are given by Y n ij = σij(n) √ n X ij , the X n ij being independent and identically distributed, centered with unit variance and satisfying some mild moment assumption. Consider now a deterministic N×n matrix An whose columns and rows are uniformly bounded for the Euclidean norm. Let Σn = Yn + An. We prove in this articl...

We provide a new characterization of the Dirichlet distribution. Let ij , 1 i k; 1 j n, be positive random variables that sum to unity. Deene i = P n j=1 ij , I = f i g k?1 i=1 , jji = ij = P j ij , and Jji = f jji g n?1 j=1. We prove that if f I ; Jj1 ; : : :; Jjk g are mutually independent and f J ; Ij1 ; : : :; Ijn g are mutually independent (where J and Ijj are deened analogously), and assu...

A matrix $A$ is totally positive (or non-negative) of order $k$, denoted $TP_k$ $TN_k$), if all minors size $\leq k$ are non-negative). It well-known that such matrices characterized by the variation diminishing property together with sign non-reversal property. We do away former, and show only every submatrix formed from at most $k$ consecutive rows columns has In fact this can be strengthened...