In this paper, we introduce the concept of strongly binary g^⋆-closed sets in topological space and investigate group structure set all

Background: Previous studies have reported anomalous resting brain activity in the electroencephalogram (EEG) of alcoholics, often reflected as increased power in the beta and theta frequency bands. The effects of binge drinking, the most common pattern of excessive alcohol consumption during adolescence and youth, on brain activity at rest is still poorly known. In this study, we sought to ass...

In the popular ${\cal PT}-$symmetry-based formulation of quantum mechanics closed systems one can build unitary models using non-Hermitian Hamiltonians (i.e., $H \neq H^\dagger$) which are Hermitizable (so that write, simultaneously, = H^\ddagger$). The essence trick is reference Hilbert space $\cal R$ (in we use conventional inner product $\langle \psi_a|\psi_b\rangle$ and write declared unphy...

We establish a Lefschetz hyperplane theorem for the Berkovich analytifications of Jacobians curves over an algebraically closed non-Archimedean field. Let J be Jacobian curve X, and let $$W_{d} \subset J$$ locus effective divisor classes degree d. show that pair $$(J^{an},W_d^{an})$$ is d-connected, thus in particular inclusion analytification theta $$\Theta ^{an}$$ into $$J^{an}$$ satisfies $$...

We show that if a real x ∈ 2 is Hausdorff H-random, where h is an order function, then it is also random for a continuous probability measure μ such that the μ-measure of the basic open cylinders shrinks according to h. We use this result to derive a characterization of effective Hausdorff dimension similar to Frostman’s Theorem.

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