in this article, we characterize the involutiveness of the linear combination of the forma1a1 +a2a2 when a1, a2 are nonzero complex numbers, a1 is a quadratic or tripotent matrix,and a2 is arbitrary, under certain properties imposed on a1 and a2.

We investigated a possible link between endometriosis and polymorphism of the progesterone receptor gene (PROGINS). The endometriosis group consisted of 54 patients with a diagnosis of endometriosis by laparoscopy, and the control group comprised 44 women without endometriosis. Genotypes for PROGINS polymorphisms (A1/A1, A1/A2 and A2/A2) were determined by polymerase chain reaction and analyzed...

tb-triple = {planta part-of floresta} (plant part-of forest) A1: relação, quadro, planta, mapa B1: bosque, floresta, mata, brenha, selva A2: vegetal, planta A3: traçado, desenho, projeto, planta, plano plausible sb-triples = {A2, B1} tb-triple = {passageiro purpose-of carruagem} (passenger purpose-of carriage) A1: passageiro, viajante B1: carriagem, carruagem, carraria A2: passageiro, viador B2...

Let ∆(a1, a2, · · · , an) be an n-dimensional real simplex with vertices at (a1, 0, · · · , 0), (0, a2, · · · , 0), · · · , (0, 0, · · · , an). Let P(a1,a2,··· ,an) be the number of positive integral points lying in ∆(a1, a2, · · · , an). In this paper we prove that n!P(a1,a2,··· ,an) ≤ (a1 − 1)(a2 − 1) · · · (an − 1). As a consequence we have proved the Durfee conjecture for isolated weighted ...

Let Pn denote the set of all algebraic polynomials of degree at most n with real coefficients. Associated with a set of poles {a1, a2, . . . , an} ⊂ R\ [−1, 1] we define the rational function spaces Pn(a1, a2, . . . , an) := 8< : : f(x) = b0 + n X j=1 bj x− aj , b0, b1, . . . , bn ∈ R 9= ; . Associated with a set of poles {a1, a2, . . . } ⊂ R\[−1, 1] , we define the rational function spaces P(a...

Phospholipase A2 (PLA2) constitutes a diverse superfamily of enzymes which catalyze the deacylation of phospholipids. At least four types of PLA2 are potentially involved in arachidonic acid release in cells and tissues. Since all of them catalyze the same enzymatic reaction, it is difficult to distinguish between them in mixtures of enzymes normally present in biological samples. Utilizing spe...

Coxsackievirus A2 (CV-A2) has been frequently detected and commonly associated with hand, foot, and mouth disease (HFMD) in China since 2008. However, limited sequences of CV-A2 are currently available. As a result, we have been focusing on the genetic characteristics of CV-A2 in the mainland of China during 2008-2015 based on national HFMD surveillance. In this study, 20 CV-A2 strains were iso...