We study families V of curves in P(C) of degree d having exactly r singular points of given topological or analytic types. We derive new sufficient conditions for V to be T-smooth (smooth of the expected dimension), respectively to be irreducible. For T-smoothness these conditions involve new invariants of curve singularities and are conjectured to be asymptotically proper, i.e., optimal up to ...

We present optical long-slit spectroscopic observations of 21 low-luminosity, extreme late-type spiral galaxies. Our sample is comprised of Sc–Sm Local Supercluster spirals with moderate-to-low optical surface brightnesses and with luminosities at the low end for spiral disk galaxies (MV 18:8). For each galaxy we have measured high spatial resolution position-velocity (P-V) curves using the H e...

This paper gives a uniform construction of infinitely many primitive Teichmüller curves V ⊂ Mg for g = 2, 3 and 4.

This paper presents modeling of Photovoltaic (PV) module using MATLAB/Simulink. The model is developed based on the mathematical model of the PV module. Two particular PV modules are selected for the analysis of developed model. The essential parameters required for modeling the system are taken from datasheets. I-V and P-V characteristics curves are obtained for the selected modules with the o...

Let Mg be the moduli space of curves of genus g ≥ 2, and let M g be the locus of curves which are birational to a curve defined by a nondegenerate bivariate Laurent polynomial. We show that dimM g = min(2g+1, 3g−3) except for g = 7 where dimM 7 = 16. In particular, a generic curve of genus g is nondegenerate if and only if g ≤ 4. Subject classification: 14M25, 14H10 Let k be a field with algebr...

The Griiths formalism is applied to nd constant torsion curves which are extremal for arclength with respect to variations preserving torsion, xing the endpoints and the binormals at the endpoints. The critical curves are elastic rods of constant torsion, which are shown to not realize certain boundary conditions. In the calculus of variations under nonholonomic constraints, one tries to nd the...

A series ef binary Ti-Cu alloys containing 5-20 mass% Cu was prepared, and the corresien behavior of a-Ti and Ti2Cu composing the Ti-Cu alloys were examined based on the anodic polarization curves and released iens in O.9% NaCl and 1% lactic acid solutions. In both selutions, the Ti-Cu alloys showed the same anodic polarization curves as titanium in the conditien below 1.4 V. Hewever, precipita...

We report the characterization of aluminum oxide (Al2O3) films which are grown on Si substrates by electron beam evaporator. This paper focuses on the characteristic variation of Al2O3 films depending on the different annealing techniques, such as post-deposition annealing and post-metallization annealing. The capacitance-voltage (C-V) curves indicate a negative charge and interface trap charge...

The evolution of plane curves obeying the equation v = β(k), where v is normal velocity and k curvature of the curve is studied. Morphological image and shape multiscale analysis of Alvarez, Guichard, Lions and Morel and affine invariant scale space of curves introduced by Sapiro and Tannenbaum as well as isotropic motions of plane phase interfaces studied by Angenent and Gurtin are included in...

This article presents an extension of works by Olivier Faugeras and Th eo Papadopoulo on moving 3D curves. They have developed a theory for the motion elds of 3D curves seen in a monocular sequence of 2D images and described methods for computing the kinematic screw (; V) of the curve and its time derivative (_ ; _ V) in the case of rigid 3D motion. Here the results of implementing one of these...