Let $ mathcal{H}(mathbb{D}) $ denote the space of analytic functions on the open unit disc $mathbb{D}$. For a weight $mu$ and a nonnegative integer $n$, the $n$'th weighted type space $ mathcal{W}_mu ^{(n)} $ is the space of all $fin mathcal{H}(mathbb{D}) $ such that $sup_{zin mathbb{D}}mu(z)left|f^{(n)}(z)right|begin{align*}left|f right|_{mathcal{W}_...

Introduction: Acute Coronary Syndrome (ACS) is one of the most common causes of death in patients with Cardiovascular Diseases (CVD). In addition to the known physical factors influencing the incidence of CVD, some psychologists have pointed to the role of psychological factors such as personality type. Objective: This study aimed to determine the role of type D personality in ACS patients in ...

A pseudo-line of a real plane curve C is a global real branch of C(R) that is not homologically trivial in P(R). A geometrically integral real plane curve C of degree d has at most d− 2 pseudo-lines, provided that C is not a real projective line. Let C be a real plane curve of degree d having exactly d − 2 pseudo-lines. Suppose that the genus of the normalization of C is equal to d− 2. We show ...

‎In this paper‎, ‎we propose some Diffie-Hellman type key exchange protocols using isogenies of elliptic curves‎. ‎The first method which uses the endomorphism ring of an ordinary elliptic curve $ E $‎, ‎is a straightforward generalization of elliptic curve Diffie-Hellman key exchange‎. ‎The method uses commutativity of the endomorphism ring $ End(E) $‎. ‎Then using dual isogenies‎, ‎we propose...

There are exactly nine reduced discriminants D of indefinite quaternion algebras over Q for which the Shimura curve XD attached to D has genus 3. We present equations for these nine curves and, moreover, for each D we determine a subgroup c(D) of cuspidal divisors of degree zero of Jac(X0(D)) such that the abelian variety Jac(X0(D))/c(D) is the jacobian of the curve XD.

objective: vitamin d deficiency is a common disorder worldwide and is indicated by low serum 25-hydroxyvitamin d levels. recent studies have suggested an association of 25-hydroxyvitamin d deficiency with diabetes mellitus. the objective of this study is to investigate the relationship between 25-hydroxyvitamin d concentration and type 2 diabetes in south indian patients. materials and methods:...

vitamin d deficiency is prevalent in diabetes type 2 and this vitamin may be related to insulin action. this randomized controlled trial study was done to evaluate the effect of vitamin d supplementation on glucose control and insulin resistance in patients with diabetes type 2.participants of this randomized clinical trial study consisted of 28 patients with type 2 diabetes who received 100 mi...

background: low serum 25-hydroxy vitamin d (25(oh)d) has been shown to correlate with an increased risk of type 2 diabetes mellitus (t2dm). the objective of this study was to investigate the association between serum 25(oh)d and glycemic and inflammatory markers in non-obese patients with t2dm. methods: eighty-four non-obese patients with t2dm were recruited in this cross-sectional study. demog...