This study focuses on anisotropic Sobolev type spaces associated with Banach spaces E0, E. Several conditions are found that ensure the continuity and compactness of embedding operators that are optimal regular in these spaces in terms of interpolations of E0 and E. In particular, the most regular class of interpolation spaces Eα between E0, E, depending of α and order of spaces are found that ...

Sixty-one xeroderma pigmentosum (XP) patients living in the Federal Republic of Germany were investigated. Clinical symptoms were correlated with DNA repair parameters measured in fibroblasts grown from skin biopsies. Classification according to the international complementation groups revealed that of the 61 patients 3 belonged to group A, 26 to group C, 16 to group D, 3 to group E, and 2 to g...

• ei, fi. e1 = 1⊗ E1, e2 = 1⊗ E2; f1 = 1⊗ F1, f2 = 1⊗ F2. • e0, f0, h0. e0 = t⊗ [F1, F2] = t⊗ E31. f0 = t −1 ⊗ [E1, E2] = t−1 ⊗ E13. h0 = [e0, f0] = −1⊗ (H1 +H2) + c = −1⊗ (E11 + E33) + c • H. H = 1⊗H ⊕ Cc⊕ Cd. Note that c is just the central element c = h0 + h1 + h2. • Π. α1 = 1 = 2, α1(c) = α1(d) = 0 α2 = 1 = 2, α1(c) = α1(d) = 0 θ = α1 + α2 = 1 − 3, θ(c) = θ(d) = 0 δ : δ(1⊗H) = δ(c) = 0, δ(d...

We consider the valley–method computation of the inclusive cross section of baryon number violating processes in the Standard Model. We show that any physically correct model of the valley action should present a singularity in the saddle point valley parameters as functions of the energy of the process. This singularity prevents the saddle point configuration from collapsing into the perturbat...

BACKGROUND The aims of this study were to compare the stability, correlation with end-tidal sevoflurane, and area below the effect (AUCeffect) vs. time curves of temporal linear mode complexity (TLMC) and approximate entropy (ApEn) during sevoflurane anesthesia. Another study goal was to characterize the time course of the effects of sevoflurane. METHODS Electroencephalogram (EEG) parame1ter ...

• Significant correlations between age group and performance for FRs (r=0.55, p<0.001) and PDDs (r=0.56, p<0.001). 2. Truth-Value Judgment Task Methods •Participants: 4yo (18), 5yo (17), 6yo (19), 7yo (11). •Participants were told: “Cookie Monster really likes cookies, but he does NOT like onions.” They were shown pictures of (i) plates of cookies, (ii) onions, or (iii) both cookies and onions....

A central problem in Algebraic Geometry is the classification of several isomorphism classes of objects by considering their deformations and studying the naturally related moduli problems, see [33], [34]. This general strategy has also been applied to singularities. Some classes of singularities with fixed numerical invariants are studied from the moduli point of view, i.e. proving the existen...

Three machine learning techniques (multilayer perceptron, random forest and Gaussian process) provide fast surrogate models for lower hybrid current drive (LHCD) simulations. A single GENRAY/CQL3D simulation without radial diffusion of electrons requires several minutes wall-clock time to complete, which is acceptable many purposes, but too slow integrated modelling real-time control applicatio...

The total cross section for baryon number violating processes at high energies is usually parametrized as σtotal ∝ exp( α F (ε)), where ε = √ s/E0, E0 = √ 6πmw/α. In the present paper the third nontrivial term of the expansion F (ε) = −1 + 9 8 ε − 9 16 ε − 9 32 ( mh mw )2 ε log (