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cross
In particular, we give a detailed description of these sets in terms of cross-sections inside maximal R-tori ofH.
      
We prove a corresponding statement for cross-ambiguity functions.
      
The models were cross-validated by Fischer's randomization test at a 95% confidence level.
      
The model showed a good correlative and predictive ability, with a cross-validated correlation coefficient of 0.594.
      
Leave-one-out cross-validation and a robustness test were performed, and the model proved to be a suitable alternative QSAR approach for modeling this series of compounds.
      
Non-empty cross-2-intersecting 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 criss-cross dynamics
      
Cross-correlations between quadratic form sequences and geometric sequences over finite fields
      
For all types of quadratic forms, the cross-correlations 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 cross-correlations 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 leave-one-out cross-validation technique.
      
The resultant cross-linked micelles undergo pH-dependent transition between the micelles and hollow spheres, which accompanies a remarkable particle size change.
      
Preparation and application of cross-linked core-shell PBA/PS and PBA/PMMA nanoparticles
      
A highly cross-linked structure was formed in both the cores and the shells by using a cross-linking agent, which could prevent the migration of hydrophobic PS shells to the inside of particles.
      
A new two-dimensional approach to quantitative prediction for collision cross-section of more than 110 singly protonated peptide
      
Synthesis, characterization and swelling properties of a chemically cross-linked poly(vinyl alcohol) hydrogel
      
A poly(vinyl alcohol) hydrogel was prepared by coupling poly(vinyl alcohol) with epichlorohydrin as the cross-linking agent.
      
 

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