We propose some new baby-step giant-step algorithms for computing “low-weight” discrete logarithms; that is, for computing discrete logarithms in which the radix-b representation of the exponent is known to have only a small number of nonzero digits. Prior to this work, such algorithms had been proposed for the case where the exponent is known to have low Hamming weight (i.e., the radix-2 case)...

The virial mass (Mvir)–metallicity relation among the Local Group dwarf spheroidal galaxies (dSphs) is examined. Hirashita, Takeuchi, & Tamura showed that the dSphs can be divided into two distinct classes with respect to the relation between their virial masses and luminosities: low-mass (Mvir . 10M⊙) and highmass (Mvir & 10M⊙) groups. We see that both the mass–metallicity and the mass– lumino...

Objective: to evaluate the effectiveness and safety of anticoagulant glucocorticosteroid therapy in patients with COVID-19, determine step-by-step solutions prescription drug at inpatient stage. Materials methods. We performed two randomized continuous prospective comparative studies including 1,801 diagnosed COVID-19 pneumonia who were undergoing treatment November-December 2020 (1,004 patient...

Vortex-antivortex configurations and their stability in mesoscopic superconducting square. Abstract We solve the Ginzburg-Landau equation (GLE) for the mesoscopic super-conducting thin film of the square shape in the magnetic field for the wide range of the Ginzburg-Landau parameter 0.05 < κ ef f < ∞. We focus on the region of the field where formation of the antivortex has been reported previo...