We update our 1993 analysis of the CP violating ratio ε/ε in view of the changes in several input parameters, in particular the improved value of the top quark mass. We also investigate the strange quark mass ms dependence of ε/ε in view of rather low values found in the most recent lattice calculations. A simple scanning of the input parameters within one standard deviation gives the ranges: −...

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 (

We define a finitary model of first-order Peano Arithmetic in which quantification is interpreted constructively in terms of Turing-computability, and show that it is inconsistent with the standard interpretation of PA. 1 Hilbert’s interpretation of quantification Hilbert interpreted quantification in terms of his ε-function as follows [Hi27]: IV. The logical ε-axiom 13. A(a)→ A(ε(A)) Here ε(A)...

Let F : X → X be a C 2 loc map in a Banach space X, and A be its Frèchet derivative at the element w := w ε , which solves the problem (*) ˙ w = −A −1 ε (F (w) + εw), w(0) = w 0 , where A ε := A + εI. Assume that A −1 ε ≤ cε −k , 0 < k ≤ 1, 0 < ε > ε 0. Then (*) has a unique global solution, w(t), there exists w(∞), and (* *) F (w(∞)) + εw(∞) = 0. Thus the DSM (Dynamical Systems Method) is just...

The object of this thesis is the study of high density discrete systems as variational limit of low density discrete energies indexed by the number of nodes of the system itself. In this context the term discreteness should be understood rather broadly as inferring to different scales from crystal lattice to grain structure while the low-to-high density limit refers to the discrete-to-continuum...

Nowak G, Bakajsova D, Samarel AM. Protein kinase C-ε activation induces mitochondrial dysfunction and fragmentation in renal proximal tubules. Am J Physiol Renal Physiol 301: F197–F208, 2011. First published February 2, 2011; doi:10.1152/ajprenal.00364.2010.—PKC-ε activation mediates protection from ischemia-reperfusion injury in the myocardium. Mitochondria are a subcellular target of these pr...