1 Quadratic Congruences to Prime Moduli . . . . . . . . . . . . . . . . . . . . . . . . 1 2 Quadratic Congruences to Composite Moduli . . . . . . . . . . . . . . . . . . . . . 5 3 Some Sums of Legendre’s symbols . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 4 Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 5 Solutions . . . . . . . . . . . . ...

Signal frequency estimation is a fundamental problem in signal processing. Deep learning method to solve this problem. This paper used five deep methods and three datasets including different singles Single Tone (ST), Linear- Frequency-Modulated (LFM), Quadratic-Frequency-Modulated (QFM). affected by Additive White Gaussian (AWG) noise Symmetric alpha Stable (SαS) noise. Geometric SNR (GSNR) de...

A method is proposed for using survival curve parameters for calculating the change in total dose necessary to achieve an equal response in a tissue when the dose per fraction is varied. The method uses the ratio alpha/beta of the coefficients of the linear quadratic survival formula and accounts only for the effect of repair of cellular injury. Absolute values for alpha and beta are not requir...

Flat band electronic modes in twisted graphene bilayers are responsible for superconducting and other highly correlated electron-electron phases. Although some hints were known of a possible connection between the quantum Hall effect zero flat modes, it was not clear how such appears. Here behavior bilayer is studied using chiral model Hamiltonian. As result, proved that high-order magic angles...

the paper is concerned with the bifurcation of limit cycles in general quadratic perturbations of a quadratic reversible and non-hamiltonian system, whose period annulus is bounded by an elliptic separatrix related to a singularity at infinity in the poincar'{e} disk. attention goes to the number of limit cycles produced by the period annulus under perturbations. by using the appropriate p...

We study inflation with the most general non-degenerate gravitational action that depends on symmetric part of Ricci tensor coupled to a scalar field in Palatini formulation gravity. use redefinitions shift effect terms from gravity field, and apply result slow-roll inflation. As examples, we consider actions quadratic cubic tensor. In case results are similar $R+\alpha R^2$ has been studied ea...