In this paper, rstly, we obtain some inequalities which estimates complex polynomials on the circles.Then, we use these estimates and a Moebius transformation to obtain the dual of this estimates forthe lines in upper half-plane. Finally, for an increasing weight on the upper half-plane withcertain properties and holomorphic functions f on the upper half-plane we obtain an equivalentrepresenta...

The measurement of anisotropic flow in heavy ion collisions gives insight into the equation of state of the matter formed in the collision. Several methods are available for measuring anisotropic flow. However, methods based on two-particle correlations do not reproduce the flow signal if nonflow is present. Methods based on multi-particle correlations do. A new reaction plane estimate is prese...

Electrostatic actuation is a promising approach to compensate for misalignment of bonded, multi-layered microsystem devices. The present work discusses the performance of electrostatic actuators used for in-plane misalignment compensation in an atom chip comprising an optical cavity. Experimental investigation revealed that the central frame suspending the mirrors can be moved between 3-5 m in ...

Owing to the two-parameter central extension of the planar Galilei group, a non relativistic particle in the plane admits an extra structure, which yields noncom-muting coordinates. For a particle moving in a magnetic field perpendicular to the plane, the two parameters combine with the magnetic field to provide an effective mass. For vanishing effective mass the phase space admits a two-dimens...

The incident energy at which the azimuthal distributions in semi-central heavy ion collisions change from in-plane to out-of-plane enhancement – Etran is studied as a function of mass of emitted particles, their transverse momentum and centrality for Au+Au collisions. The analysis is performed in a reference frame rotated with the sidewards flow angle (Θflow) relative to the beam axis. A system...

In the title pyrimidine derivative, C(23)H(23)N(3)S(2), the phenyl-sulfanyl and benzyl-sulfanyl benzene rings are orientated away from the carbonitrile group and are twisted out of the plane of the central ring with dihedral angles of 77.66 (6) and 64.73 (5)°, respectively. The n-pentyl group has an extended trans conformation. In the crystal, supra-molecular layers in the ab plane are sustaine...

The title mol-ecule, C(15)H(13)NO, approximates a planar conformation except for the alkyl chain (ethyl group) bonded to the N atom with a maximum deviation from the least-squares plane through the 15 planar atoms of 0.120 (2) Å for the O atom. The distance of the formyl O atom from the plane of the carbazole ring is 0.227 (2) Å. The N-C bond lengths in the central ring are significantly differ...

The crystal structure of the title compound, C(13)H(8)Cl(2)O(2), resembles those of 2,3-dichloro-phenyl benzoate, 2,4-dimethyl-phenyl benzoate and other aryl benzoates, with similar bond parameters. The plane of central -C(=O)-O- group is inclined at the angle of 9.1 (2)° with respect to the benzoate ring. The two aromatic rings make a dihedral angle of 47.8 (1)°. In the crystal structure there...

Multi-aperture speckle shear interferometry also exhibits sensitivity to the in-plane displacement component. The interferogram obtained even at normal illumination contains fringes due to the combined contributions of slope, strain and in-plane components. The fringe pattern, therefore, changes when the shear element is placed at different aperture positions for the same experimental condition...

The title compound, C(11)H(22)NO(2) (+)·I(-), is a chiral mol-ecule with five stereogenic centres. The absolute configuration was assigned from the synthesis and confirmed by the structure determination. The central six-membered ring of the indolizine system adopts a chair conformation, with two atoms displaced by -0.690 (2) and 0.550 (2) Å from the plane of the other four atoms. The conformati...