positivity 
Partial sums of orthonormal bases preserving positivityAnd martingales


We characterize, for finite measure spaces, those orthonormal bases with the following positivity property: if f is a nonnegative function, then the partial sums in the expansion of f are nonnegative.


We obtain some sharp estimates showing that the set of positivity of such functions cannot be too small.


Test 2 in the patients demonstrated an increase in the positivity focus in the frontal region of the right hemisphere.


Religion of positivity of solutions of elliptic equations


In this paper we consider a useful condition for the positivity of the principal minors of a real matrix with nonnegative elements off the diagonal.


Strong Positivity in RightInvariant Order on Braid Groups and Quasipositivity


For a system with symmetric circulant matrix, conditions on the righthand side vector which ensure the positivity of the solution to the system are found.


Necessary and sufficient conditions for the positivity of a quadratic form on this cone are obtained.


We describe some properties of the introduced quantity, in particular, its positivity for CA of the type of "The Game of Life." Also, we give an example of an explicit evaluation of this parameter for a particular cellular automaton.


The model is constructed on the basis of the GinzburgLandau theory of phase transitions using the principle of the positivity of entropy production in an open weakly nonequilibrium system.


This is an overview of the new possibilities that are open by Boolean valued analysis in positivity.


The antivimentin antibodies levels also did not correlate with the AECA positivity.


The aim of this study was to evaluate TTV DNA positivity in non AE hepatitis cases, chronic HBV and HCV hepatitis cases and healthy blood donors via PCR systems that target all regions of the viral genome used for viral detection.


Detection rate was significantly higher for Non AE hepatitis group when positivity rates from all methods were combined.


In subgroup analysis of CerbB2 positive cases, the magnitude of CerbB2 positivity did not correlate with tumor size (p=0.551).


In subgroup analysis of patients with positive CerbB2, positivity of CerbB2 linearly increased with the number of positive lymph nodes in Level III, and this difference was significant (p=0,039).


P53, PR positivity and the presence of intraductal component did not differ according to oncogene expression.


We detected a reverse correlation with ER positivity and CerbB2 positivity (p=0.011).


It is concluded that quantitative expression of CerbB2 positivity increases with nodal involvement in Level III axillary lymph nodes, and ER.

