The object of this paper is the theta divisor of the compactified Jacobian of a nodal curve of genus g. We determine its irreducible components and give it a geometric interpretation. A characterization of hyperelliptic irreducible curves in M g is appended as an application.

In this paper (part three of the trilogy) we use low degree G 1 and G 2 continuous regular algebraic spline curves deened within parallelograms, to interpolate an ordered set of data points in the plane. We explicitly characterize curve families whose members have the required interpolating properties and possess a minimal number of innection points. The regular algebraic spline curves consider...

pinch technology is one of the best methods for designing a multi stream heat exchanger(mshe) through a network; current pinch-based methods, however, lead to a larger and more complicateddesign problems. the major drawback of the current methods is they result in designs having more individual mshe sections than essential, correspond to the enthalpy intervals on temperature vs. enthalpy diagra...

background: palladium-103 (103pd) is a brachytherapy source for cancer treatment. the monte carlo codes are usually applied for dose distribution and effect of shieldings. monte carlo calculation of dose distribution in water phantom due to a med3633 103pd source is presented in this work. materials and methods: the dose distribution around the 103pd model med3633 located in the center of 30×30...

in this paper, we study spacelike dual biharmonic curves. we characterize spacelike dual biharmonic curves in terms of their curvature and torsion in the lorentzian dual heisenberg group . we give necessary and sufficient conditions for spacelike dual biharmonic curves in the lorentzian dual heisenberg group . therefore, we prove that all spacelike dual biharmonic curves are spacelike dual heli...

the aim of the present work is to prepare an adsorption package to simulate adsorption / desorption operation for both single and multi-component systems in an isothermal condition by different mechanisms such as; local adsorption theory and mass transfer resistance (rigorous and approximated methods). different mass transfer resistance mechanisms of pore, solid and bidispersed diffusion, toget...

reference curves are useful tools to monitor children’s growth status and can promote growth velocity in infants. in this regard, various parametric and semi-parametric methods are frequently used in the last decades. in the present paper, nonparametric quintile regression method is used as a powerful and applicable methodology to estimate height curves and normal values of height-for-age in ch...

In this paper, we study inextensible ows in three dimensional Lie groups with a bi-invariant metric. The necessary and sucient conditions for inextensible curve ow are expressed as a partial dierential equation involving the curvatures. Also, we give some results for special cases of Lie groups.