In this work, we consider effects of the dynamical vacuum in quantum cosmology presence a minimum length introduced by GUP (generalized uncertainty principle) related to modified commutation relation $[\hat{X},\hat{P}] := \frac{i\hbar}{ 1 - \beta\hat{P}^2 }$ . We determine wave function Universe $ \psi_{qp}(\xi,t)$, which is solution Wheeler-DeWitt equation representation quasi-position space, ...

QP is the optimization of a quadratic function subject to linear equality and inequality constraints. It arises in multiple objective decision making where the departure of the actual decisions from their corresponding ideal, or bliss, value can be evaluated using a weighted quadratic norm as a measure of deviation. The formulation of mean-variance optimization of uncertain systems also leads t...

We study the asymptotical behavior of the p-adic singular Fourier integrals Jπα,m;φ(t) = 〈 fπα;m(x)χp(xt), φ(x) 〉 = F [ fπα;mφ ] (t), |t|p → ∞, t ∈ Qp, where fπα;m ∈ D ′(Qp) is a quasi associated homogeneous distribution (generalized function) of degree πα(x) = |x| α−1 p π1(x) and orderm, πα(x), π1(x), and χp(x) are a multiplicative, a normed multiplicative, and an additive characters of the fi...

Sn = {d ∈ M | Cd(Qp) 6= ∅ ∀p|2n, Cd(Q∞) 6= ∅}, S ′ n = {d ∈ M | C ′ d(Qp) 6= ∅ ∀p|2n, C ′ d(Q∞) 6= ∅}, where the equations Cd and C ′ d, in variables (w, t, z) are given by Cd : dw 2 = t + (2n/d)z, C ′ d : dw 2 = t − (n/d)z. We should note that (0, 0, 0) is always a solution to Cd(C ′ d). So, when we write Cd(Qp) 6= ∅ (C ′ d(Qp) 6= ∅), we mean there exists nontrivial solutions. There has been m...

1.1. The p-adic numbers. A rational number x ∈ Q× may be uniquely written as x = ab p n with a, b and n nonzero integers such that p ab. We define ordp(x) = n, |x|p = p−n, |0|p = 0. |·|p defines an absolute value on Q, satisfying the stronger ultrametric triangle equality |x+ y|p ≤ max(|x|p, |y|p). We define Qp to be the completion Q with respect to this metric and we use the same notation | · ...

Let p be a prime, K a finite extension of Qp and T a finite free Zp-representation of Gal(K̄/K). We prove that T ⊗Zp Qp is semi-stable (resp., crystalline) with Hodge-Tate weights in {0, . . . , r} if and only if for all n, T/pnT is torsion semi-stable (resp., crystalline) with Hodge-Tate weights in {0, . . . , r}. Résumé. (Représentations galoisiennnes p-adiques de torsion) Soient p un nombre p...

A Bose gas in a double-well potential, exhibiting a true Bose-Einstein condensate (BEC) amplitude and initially performing Josephson oscillations, is a prototype of an isolated, nonequilibrium many-body system. We investigate the quasiparticle (QP) creation and thermalization dynamics of this system by solving the time-dependent Keldysh-Bogoliubov equations. We find avalanchelike QP creation du...

Epstein-Barr virus (EBV) latent infection, and its associated oncogenic potential, is dependent on genome maintenance functions of EBV nuclear antigen 1 (EBNA-1), one of six EBNAs expressed from a common promoter (Wp and then Cp) upon infection of naive B cells. Subsequent host-mediated silencing, however, necessitates the expression of EBNA-1 from the EBNA-1-specific promoter Qp to ensure agai...

OBJECTIVES This study's primary objective was to determine the sensitivity, specificity, and accuracy of fully quantitative stress perfusion cardiac magnetic resonance (CMR) versus a reference standard of quantitative coronary angiography. We hypothesized that fully quantitative analysis of stress perfusion CMR would have high diagnostic accuracy for identifying significant coronary artery sten...