Soils support ecosystem functions such as plant growth and water quality because of certain physical, chemical, and biological properties. These properties have been studied at different spatial scales, including point scales to satisfy basic research needs, and regional scales to satisfy monitoring needs. Recently, soil property data for the entire USA have become available in the State Soil G...

For a linear random field (linear p-parameter stochastic process) generated by a dependent random field with zero mean and finite qth moments (q > 2p), we give sufficient conditions that the linear random field converges weakly to a multiparameter standard Brownian motion if the corresponding dependent random field does so. 2000 Mathematics subject classification: 60F17, 60G15.

OBJECTIVES The aim of this study was to evaluate the effects of different light sources and curing time on the degree of conversion and microhardness of two surfaces within a nanofilled composite resin. METHODS Four experimental groups (n=10) were formed in accordance with the light source (quartz-tungsten halogen (QTH - 600mW/cm(2)), or light-emitting-diode (LED - 800mW/cm(2))) and the time ...

We prove that if q 5 is an integer, then every qth power of an integer contains at least 5 nonzero digits in its binary expansion. This is a particular instance of one of a collection of rather more general results, whose proofs follow from a combination of refined lower bounds for linear forms in Archimedean and non-Archimedean logarithms with various local arguments.

Correlation inequalities are presented for functionals of a ferromagnetic Potts model with external field, using the random-cluster representation. These results extend earlier inequalities of Ganikhodjaev–Razak and Schonmann, and yield also GKS-type inequalities when the spin-space is taken as the set of qth roots of unity.

The Thomas model is the most common equation to describe dynamics of fixed-bed adsorption columns. However, its parameters’ validity strongly depends on region breakthrough curve considered for data fitting. A rigorous analysis based different error functions was carried out determine accuracy both linear and non-linear forms model. proved be more robust less susceptible experimental error, wit...