cross 
In particular, we give a detailed description of these sets in terms of crosssections inside maximal Rtori ofH.


We prove a corresponding statement for crossambiguity functions.


The models were crossvalidated by Fischer's randomization test at a 95% confidence level.


The model showed a good correlative and predictive ability, with a crossvalidated correlation coefficient of 0.594.


Leaveoneout crossvalidation and a robustness test were performed, and the model proved to be a suitable alternative QSAR approach for modeling this series of compounds.


Nonempty cross2intersecting families of subsets


Also another cross ratio of the following four collinear points are suggested, i.


This cross ratio is concerned only with the ray's location, but not with the weights of the curve.


Furthermore, the cross ratio is projective invariant under the projective transformation between the two segments.


A mathematical analysis for a diffusive epidemic model with crisscross dynamics


Crosscorrelations between quadratic form sequences and geometric sequences over finite fields


For all types of quadratic forms, the crosscorrelations between geometric sequences and the newly defined quadratic form sequences are determined to extend the results presented by Klapper in 1993 and 1997.


The technique for computing crosscorrelations is based on counting the number of solutions for a system of equations that consists of a quadratic form and a linear function.


The validation of the model is then checked by leaveoneout crossvalidation technique.


The resultant crosslinked micelles undergo pHdependent transition between the micelles and hollow spheres, which accompanies a remarkable particle size change.


Preparation and application of crosslinked coreshell PBA/PS and PBA/PMMA nanoparticles


A highly crosslinked structure was formed in both the cores and the shells by using a crosslinking agent, which could prevent the migration of hydrophobic PS shells to the inside of particles.


A new twodimensional approach to quantitative prediction for collision crosssection of more than 110 singly protonated peptide


Synthesis, characterization and swelling properties of a chemically crosslinked poly(vinyl alcohol) hydrogel


A poly(vinyl alcohol) hydrogel was prepared by coupling poly(vinyl alcohol) with epichlorohydrin as the crosslinking agent.

