Abstract In this article, we study the logarithmic Mahler measure of one-parameter family $$Q_\alpha=y^2+(x^2-\alpha x)y+x,$$ denoted by $\mathrm{m}(Q_\alpha)$. The zero loci Qα generically define elliptic curves Eα, which are 3-isogenous to Hessian curves. We particularly interested in case $\alpha\in (-1,3)$, has not been considered literature due certain subtleties. For α interval, establish...

Thalassemias are hereditary anemia syndromes occurring due to erroneous producing of globin chain of hemoglobin. Thalassemia syndromes are named according to the type of the affected globin chain. The most common types of thalassemia are alpha thalassemia and beta thalassemia. In α-thalassemia, α-globin chain production is either by decreased or completely disappeared. The gene encoding the α-g...

In this article, we propose a new stopping criterion for turbo codes. This is based on the behaviour of probabilistic values alpha ' α calculated in forward recursion during decoding. We called Sum-α. The simulation results show that Bit Error Rates BER are very close to those Cross-Entropy CE with same average number iterations.

We obtain sharp L p → q $L^p\rightarrow L^q$ hypercontractive inequalities for the weighted Bergman spaces on unit disk D $\mathbb {D}$ with usual weights α − 1 π ( | z 2 ) , > $\frac{\alpha -1}{\pi }{(1-|z|^2)}^{\alpha -2},\alpha >1$ ⩾ $q\geqslant 2$ thus solving an interesting case of a problem from Janson [Ark. Math. 21 (1983), no. 1, 97–110]. also give some estimates 0 < $0<q<2$ .

BACKGROUND In sickle cell disease, the quantification of Hb A2 is important for the differential diagnosis between sickle cell anemia (Hb SS) and Hb S/β(0)-thalassemia. OBJECTIVE To determine Hb A2 levels as quantified by high performance liquid chromatography in patients with sickle cell anemia (Hb SS) and with the SC hemoglobinopathy, with or without concomitant alpha thalassemia. METHODS...