We present an approach which allows for modifications of the (minimal) analytic QCD model of Shirkov, Solovtsov et al.. The discontinuity function of the (minimal) analytic QCD coupling parameter is changed at the low time-like momenta by a simple ansatz motivated by the vector meson dominance for the vector channel of the e + e − hadronic decay ratio RV (s). In this way, the additional low ene...

We deene and study a directional derivative for two functions of the spectrum of an analytic matrix valued function. These are the maximum real part and the maximum modulus of the spectrum. Results are rst obtained for the roots of polynomials with analytic coeecients by way of Puiseux-Newton series. In this regard, the primary analytic tool is the so called Puiseux-Newton diagram. These result...

Application performance is critical in high-performance computing (HPC), however, it is not considered in a systematic way in the HPC software development process. Integrated performance models could improve this situation. Advanced analytic performance modeling and performance analysis tools exist in isolation but have similar goals and could benefit mutually. We find that existing analysis to...

Let L 6= Qp be a proper finite field extension of Qp and o ⊂ L its ring of integers viewed as an abelian locally L-analytic group. Let ô be the rigid L-analytic group parametrizing the locally analytic characters of o constructed by Schneider-Teitelbaum. Let K/L be a finite extension field. We show that the base change ôK has a Picard group Pic(ôK) which is profinite and that the unit section i...

This paper concentrates on some aspects of the history of the analyticsynthetic distinction from Kant to Bolzano and Frege. This history evinces considerable continuity but also some important discontinuities. The analytic-synthetic distinction has to be seen in the first place in relation to a science, i.e. an ordered system of cognition. Looking especially to the place and role of logic it wi...

PURPOSE OF REVIEW Mixtures, or combinations and interactions between multiple environmental exposures, are hypothesized to be causally linked with disease and health-related phenotypes. Established and emerging molecular measurement technologies to assay the exposome, the comprehensive battery of exposures encountered from birth to death, promise a new way of identifying mixtures in disease in ...

In the framework of the analytic approach to Quantum Chromodynamics a new model for the strong running coupling has recently been developed. Its underlying idea is to impose the analyticity requirement on the perturbative expansion of the renormalization group β function for restoring the correct analytic properties of the latter. The proposed model possesses a number of appealing features. Nam...

In ultrafast optics, optical pulses are generated to be of shorter pulse duration, which has enormous significance to industrial applications and scientific research. The ultrashort pulse evolution in fiber lasers can be described by the higher-order Ginzburg-Landau (GL) equation. However, analytic soliton solutions for this equation have not been obtained by use of existing methods. In this pa...

We present an approach which allows for modifications of the (minimal) analytic QCD model of Shirkov, Solovtsov et al.. The discontinuity function of the (minimal) analytic QCD coupling parameter is changed at the low time-like momenta by a simple ansatz motivated by the vector meson dominance for the vector channel of the e + e − hadronic decay ratio RV (s). In this way, the additional low ene...

Teaching quality is the lifeblood of college survival and development, and improving the teaching quality is the eternal theme of teaching management. To establish teaching quality monitoring system is an important measure to guarantee improvement of the teaching quality. And the teaching quality evaluation is an effective way to improve the teaching quality. By reasonable teaching evaluation, ...