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.

By Grothedieck's Anabelian conjectures, Galois representations landing in outer automorphism group of the algebraic fundamental group which are associated to hyperbolic smooth curves defined over number fields encode all arithmetic information of these curves. The goal of this paper is to develope and arithmetic teichmuller theory, by which we mean, introducing arithmetic objects summarizing th...

background :falls have been strongly associated with decreased physical activity and impaired mobility. reduced range of motion, as a consequence of muscle stiffness, has been indicated to assume a positive relationship to fall incidence. also clinical observations suggest that maintaining the normal spinal curves is associated with the prevention of spinal, knee and hip disorders. thus, the ai...

background: we designed an algorithmic model based on the logistic regression analysis and a non-algorithmic model based on the artificial neural network (ann). materials and methods: the ability of these models was compared together in clinical application to differentiate malignant from benign breast tumors in a study group of 161 patients' records. each patient’s record consisted of 6 s...

We investigate one-point algebraic geometric codes CL(D, G) associated to maximal curves recently characterized by Tafazolian and Torres given by the affine equation yl = f(x), where f(x) is a separable polynomial of degree r relatively prime to l. We mainly focus on the curve y4 = x3 +x and Picard curves given by the equations y3 = x4-x and y3 = x4 -1. As a result, we obtain exact value of min...

Many efforts have been made to model the the hot deformation (dynamic recrystallization) flow curves of different materials. Phenomenological constitutive models, physical-based constitutive models and artificial neural network (ANN) models are the main methods used for this purpose. However, there is no report on the modeling of warm deformation (dynamic spheroidization) flow curves of any kin...

This research reports a validated multi-residue method based on gas chromatography coupled mass spectrometry technique for analysis of 24 Polycyclic Aromatic Hydrocarbons (PAHs) in traditional and semi-industrial Taftoon bread using QuEChERS sample preparation. Matrix effect studies were performed by comparing the slopes of solvent based standard calibration curves and spiked calibration curves...