In this paper, new finite numbers of conditions which are equivalent to the so-called generalized invariant subspaces whoes definitions have infinitely many conditions are studied.

– It is shown that if u is a solution of the initial value problem for the generalized Korteweg–de Vries equation such that there exists b ∈ R with suppu(·, tj ) ⊆ (b,∞) (or (−∞, b)), for j = 1,2 (t1 = t2), then u≡ 0.  2002 Éditions scientifiques et médicales Elsevier SAS AMS classification: Primary 35Q53; secondary 35G25; 35D99

A gain field, the scaling of a tuned neuronal response by a postural signal, may help support neuronal computation. Here, we characterize eye and hand position gain fields in the parietal reach region (PRR). Eye and hand gain fields in individual PRR neurons are similar in magnitude but opposite in sign to one another. This systematic arrangement produces a compound gain field that is proportio...

This book covers two major classes of mixed effects models—linear models and generalized linear models—and it presents an up-to-date ...

This article introduces generalized beta-generated (GBG) distributions. Sub-models include all classical beta-generated, Kumaraswamy-generated and exponentiated distributions. They are maximum entropy distributions under three intuitive conditions, which show that the classical beta generator skewness parameters only control tail entropy and an additional shape parameter is needed to add entrop...

The completeness of a bond market model with infinite number of sources of randomness on a finite time interval in the Heath-Jarrow-Morton framework is studied. It is proved that the market in the case of trading strategies is not complete. An explicit construction of a bounded contingent claim, which can not be replicated, is provided. Moreover, a new concept of generalized strategies is intro...