Literature data have shown that infertility affects about 15% of couples, but according to the author’s experience, observing changes in energy characteristics our population recent years, very well documented article Energy Alterations and Chakras’ Deficiencies Propensity SARS-CoV-2 Infection, where author explains a study carried out between 2015 2020, studying internal 1000 patients, found m...

We consider the dual billiard map with respect to a smooth strictly convex closed hypersurface in linear 2m-dimensional symplectic space and prove that it has at least 2m distinct 3-periodic orbits. AMS Classi cation 37J45, 70H12

This article aims to investigate the curvature operator of second kind on Kähler manifolds. The first result states that an m-dimensional manifold with $$\frac{3}{2}(m^2-1)$$ -nonnegative (respectively, -nonpositive) must have constant nonnegative nonpositive) holomorphic sectional curvature. asserts a closed $$\left( \frac{3m^3-m+2}{2m}\right) $$ -positive has positive orthogonal bisectional c...

The role of processing in antigen (Ag) presentation and T cell activation in experimental allergic encephalomyelitis (EAE) was evaluated in wild-type mice, mice that selectively express either Ii p31 or p41, and mice completely deficient in Ii or H-2M. We demonstrate that processing of myelin oligodendrocyte glycoprotein (MOG) is required for presentation of the dominant encephalitogenic MOG ep...

We give explicit formulas for the cohomology of the Heisenberg Lie algebras over fields of finite characteristic. We use this to show that in characteristic two, unlike all other cases, the Betti numbers are unimodal. The Heisenberg Lie algebra is the algebra hm with basis {x1, . . . , xm, y1, . . . , ym, z} and nonzero relations [xi, yi] = z, 1 ≤ i ≤ m. The cohomology (with trivial coefficient...

Introduced by Rothaus in 1976 as interesting combinatorial objects, bent functions are maximally nonlinear Boolean functions with even numbers of variables whose Hamming distance to the set of all affine functions equals 2n−1 ± 2 n 2 −1. Not only bent functions are applied in cryptography, such as applications in components of S-box, block cipher and stream cipher, but also they have relations ...

We consider a homogeneous degenerate center of order 2m + 1 and perturb it by polynomial 2m. study the Lyapunov constants around origin to estimate number limit cycles. To do it, we classify parameters their effect on Finally, find that perturbed without any condition has at least two cycles, bifurcated cycles could reach 3.