Trends in the singlet-triplet state-splittings of substituted carbenes are found to be reproduced accurately with a very simple level of ab initio theory. The minimum balanced description, GVB( 1 /2), with a simple basis set yields singlet-triplet gaps that correlate linearly with available accurate values. This linear relationship is exploited to predict the state-splitting for the remaining m...

This article examines a new approach which solves Linear Programming (LP) problems with stochastic parameters as a generalized model of the fuzzy mathematical model analyzed by Verdegay. An expectation model is provided for solving the problem. A multi-parametric programming is applied to access to a solution with different desired degrees as well as problem constraints. Additionally, we presen...

The resummation of logarithmically-enhanced terms to all perturbative orders is a prerequisite for many studies of QCD final-states. Until now such resummations have always been performed by hand, for a single observable at a time. In this letter we present a general ‘master’ resummation formula (and applicability conditions), suitable for a large class of observables. This makes it possible fo...

In this work we extend results from the literature on H∞ design with pole placement constraints to the case of generalized state space models, for both continuous-time and discrete-time systems. We also propose tests using linear matrix inequalities of reduced dimension. © 2005 Elsevier Ltd. All rights reserved.

Takens' theorem (1981) shows how lagged variables of a single time series can be used as proxy variables to reconstruct an attractor for an underlying dynamic process. State space reconstruction (SSR) from single time series has been a powerful approach for the analysis of the complex, non-linear systems that appear ubiquitous in the natural and human world. The main shortcoming of these method...

Objective: Some theories state that a deficiency in cognitive control makes people more vulnerable to the occurrence of repetitive negative thoughts. The present study was done to investigate the association between cognitive control based on switching and inhibition and repetitive thinking of rumination and worry and major depressive disorder and generalized anxiety disorder. Methods: Thirty ...