‎Our aim in this very short note is to show that the proof of the‎ ‎following well-known fundamental lemma of Zariski follows from an‎ ‎argument similar to the proof of the fact that the rational field‎ ‎$mathbb{Q}$ is not a finitely generated $mathbb{Z}$-algebra.

Background: The dramatic increase in the number of general practitioners and their limited job situations has increased the desire to continue studies in specialized fields. However, different fields are not desired in the same way. Therefore, to plan for the guidance of general practitioners towards fields needed for the society, understanding the motives for choosing a field is necessary. The...

In this research we have studied the effects of extremely low frequency magnetic field on the peripheral blood lymphocytes chromosomes of human in vitro and rat in vivo. By this means, we used 60 blood samples of 10 men as well as 40 rats. Of 60 human blood samples ,40 samples (in two group of 20) were selected as test groups and placed into the 2 mT and 35 Hz magnetic field. The blood samples,...

This communication influences on magnetohydrodynamic flow of viscoelastic fluid with magnetic field induced by oscillating plate. General solutions have been found out for velocity and shear stress profiles using mathematical transformations (Integral transforms). The governing partial differential equations have been solved analytically under boundary conditions u(0,t)=A_0 H(t)sinΩt and u(0,t)...

We show that in a spontaneously broken effective gauge field theory, quantized general background \(R_\xi \)-gauge, also the fields undergo non-linear (albeit background-gauge invariant) redefinition induced by radiative corrections. This proves to be crucial order renormalize coupling constants of gauge-invariant operators gauge-independent way. The classical background-quantum splitting is no...