This article concerns the examination of trigonometric identities from an elliptic perspective. The treatment functions presented herein adheres to a structure analogous traditional exposition functions, with exception that ellipse replaces unit circle. degree similarity between and their counterparts is moderated by periodicity so-called El- functions. These not only establish values but also ...

In the title compound, C(16)H(18)NO(+)·C(6)H(4)BrO(3)S(-)·0.5CH(3)OH, the cation exists in the E configuration and the whole mol-ecule of the cation, except for the O atom of the eth-oxy group, is disordered with a site-occupancy ratio of 0.695 (5):0.305 (5). The cation is disordered in such a way that the ethenyl units of the major and minor components are related by 180° around the long mol-e...

Two new 5,12-disubstituted 2,3-di-ethyl-naphtho-[2,3-g]quinoxaline-6,11-dione compounds were readily synthesized from the commercial dye quinizarin. For 2,3-diethyl-5,12-di-hydroxy-naphtho-[2,3-g]quinoxaline-6,11-dione, (II), C20H16N2O4, the mol-ecule displays a near planar conformation and both hy-droxy groups participate in intra-molecular O-H⋯O(carbon-yl) hydrogen bonds. In the crystal, π-π ...

In this series of papers we investigate the orbital structure of three-dimensional (3D) models representing barred galaxies. In the present introductory paper we use a fiducial case to describe all families of periodic orbits that may play a role in the morphology of threedimensional bars. We show that, in a 3D bar, the backbone of the orbital structure is not just the x1 family, as in two-dime...

We present an analysis of high resolution HI data of the dwarf galaxy DDO 47, aimed at testing the hypothesis that dark halo triaxiality might induce non-circular motions resulting in rotation curves best fitted by cored halos, even if the dark matter halo is intrinsically cuspy. This hypothesis has been invoked in order to reconcile the predictions of the ΛCDM theory with the rotation curves o...

Right ventricular pacing alters left ventricular synchrony and loading conditions, each of which may independently influence left ventricular relaxation. Addition of a properly timed atrial contraction by using sequential atrioventricular (AV) pacing minimizes changes in left ventricular loading conditions, but ventricular asynchrony persists. To separate the effects of altered loading from tho...

Observations of non-random distribution galaxies with opposite spin directions have recently attracted considerable attention. Here, a method for identifying cosine-dependence in dataset annotated by their is described the light different aspects that can impact statistical analysis data. These include presence duplicate objects dataset, errors galaxy annotation process, and asymmetry does not ...

A new paradigm for rapid stellarator configuration design has been recently demonstrated, in which the shapes of quasisymmetric or omnigenous flux surfaces are computed directly using an expansion small distance from magnetic axis. To further develop this approach, here we derive several other quantities interest that can be rapidly near-axis expansion. First, $\boldsymbol {\nabla }\boldsymbol ...

BACKGROUND Proper rotation of components in total knee arthroplasty (TKA) will largely affect the postoperative outcome. Ethnical variation may affect rotational profile. We aimed to evaluate distal femur rotation in Iranian population using transepicondylar axes. METHODS From a total of 450 knee CT scans and via consecutive sampling, 150 qualified subjects with normal lower extremities align...

We present submillimeter SCUBA images of the nearby, starburst galaxies NGC 253, NGC 4631 and M82 (primarily at wavelengths of 450 and 850 μm). The edge-on orientation of our targets, in conjunction with the resolution of the instrument (15′′ FWHM at 850 μm), allows us to probe the optically-obscured centre and resolve the minor-axis superwind from the main disk. For NGC 253 and M82, we detect ...