Abstract Multi frequency antennas are in high demand as the wireless communication system is developing rapidly. To access internet a mobile device, 2G-5G and WLAN used that covers 1.8 GHz – 6 GHz. This paper proposes design of low profile multiband monopole antenna for all communications, WiMAX application. The has diamond shaped radiator, cylinder to achieve better resonance, defective ground...

We consider the identity component of Sato-Tate group Jacobian curves form $$C_1\colon y^2=x^{2g+2}+c, C_2\colon y^2=x^{2g+1}+cx, C_3\colon y^2=x^{2g+1} +c,$$ where $g$ is genus curve and $c\in\mathbb Q^*$ constant. approach this problem in three ways. First we use a theorem Kani-Rosen to determine splitting Jacobians for $C_1$ 4 5 prove what each case. then higher by finding maps lower computi...

In order to obtain high quality, reliable electronic Raman spectra of a high-T c superconductor compound, comparable with existing model, we have studied strongly under-doped HgBa 2 Ca 2 Cu 3 O 8+δ. This choice was made such as to i) minimize oxygen disorder in the Hg−plane generated by oxygen doping ii) avoid the need of phonon background subtraction from the raw data iii)eliminate traces of p...

We consider this inequality from a naive probabilistic point of view. Suppose g = 1, for example. Then E has a model as a projective cubic curve. Let F (x, y, z) denote the corresponding homogeneous cubic polynomial. There are q + q + 1 Fq-rays through the origin in affine 3-space, and loosely speaking, each ray has a probability 1/q of lying on the zero-locus of F . Therefore, X(Fq) should sho...

Osmoregulation capabilities of two size groups (1 and 2g) of zander , Sander lucioperca, fingerlings were investigated survival rate, plasma osmolarity, sodium (Na+), chloride (Cl-) ion concentrations and cortisol level within 0, 6, 24, 72 and 240 h after abrupt transfer from freshwater to 7 and 12‰ salinity. Also, some hematological parameters were measured at 240h. The plasma osmolarity and ...

Background & Aims: Postprandial hyperglycemia results in the development of chronic complications. Therefore, its control is critical in the treatment of diabetes. One of the main therapeutic approaches for reducing postprandial hyperglycemia is to reduce the absorption of carbohydrates by enzyme inhibitors such as Acarbose which have already been clinically used as a medicine for diabetic pati...

In this paper, we show that there are solutions of degree r the equation Pell–Abel on some real hyperelliptic curve genus g if and only r>g. This result, which is known to experts, has consequences, seem be unknown experts. First, deduce existence a primitive k-differential an with unique zero order k(2g-2) for every (k,g)≠(2,2). Moreover, exists non Weierstrass point n modulo n>2g.

We define a family of groups that include the mapping class group of a genus g surface with one boundary component and the integral symplectic group Sp.2g;Z/ . We then prove that these groups are finitely generated. These groups, which we call mapping class groups over graphs, are indexed over labeled simplicial graphs with 2g vertices. The mapping class group over the graph € is defined to be ...