We construct a rigorous renormalisation scheme for analytic vector fields on T. We show that iterating this procedure there is convergence to a limit set with a “Gauss map” dynamics on it. This is valid for diophantine frequency vectors.

By application of a straightforward variational procedure we derive a simple, analytic upper bound on the ground-state energy eigenvalue of a semirelativistic Hamiltonian for (one or two) spinless particles which experience some Coulomb-type interaction.

By application of a straightforward variational procedure we derive a simple, analytic upper bound on the ground-state energy eigenvalue of a semirelativistic Hamiltonian for (one or two) spinless particles which experience some Coulomb-type interaction. 1

The paper addresses generalized Borel summability of “1+” difference equations in “critical time”. We show that the Borel transform Y of a prototypical such equation is analytic and exponentially bounded for <(p) < 1 but there is no analytic continuation from 0 toward +∞: the vertical line ` := {p : <(p) = 1} is a singularity barrier of Y . There is a unique natural continuation through the bar...

The digital resources construction of college library is important for the development of college, therefore it is necessary to evaluate it base on an effective evaluation method, and the application of fuzzy analytic hierarchy process on it is studied in depth. Firstly, the meaning of performance evaluation of digital construction of college library is discussed; Secondly, the digital resource...

Human reasoning has been shown to overly rely on intuitive, heuristic processing instead of a more demanding analytic inference process. Four experiments tested the central claim of current dual-process theories that analytic operations involve time-consuming executive processing whereas the heuristic system would operate automatically. Participants solved conjunction fallacy problems and indic...

This paper presents an analytic procedure for the value added to different production levels with different policy options. The approach is stochastic and thus provides a framework for informed decision-making on productivity growth under uncertainty conditions. The model was applied to data collected from a firm and re-sults recommend that the firm should redevelop if in diversification and sy...

This paper analyses a new framework for decision-making in e-democracies that exploits the power of Internet based public knowledge, which is called briefly e-cognocracy. This is not a procedure to improve technical aspects using the Internet (e.g. e-voting); it is rather a procedure to add a new quality to the democratic system by using the network. This proposed system of e-cognocracy would a...

Jeřábek showed that analytic propositional-logic deep-inference proofs can be constructed in quasipolynomial time from nonanalytic proofs. In this work, we improve on that as follows: 1) we significantly simplify the technique; 2) our normalisation procedure is direct, i.e., it is internal to deep inference. The paper is self-contained, and provides a starting point and a good deal of informati...