After all candidate rotation angles and scaling factors have been searched in this way, the orientation and scale corresponding to the maximum correlation are adopted as the estimated parameters for rotation and scaling.
Three scales are distinguished: the microscopic scale (corresponding to the size of the small voids), the mesoscopic scale (corresponding to the size of the large voids) and the macroscopic scale.
The correlation of topsoil strength with yield at the coarsest spatial scale (corresponding to about 50 m on the ground) was positive.
Therefore, the proposed use of DEA also measures a new concept, or "DTS: Damages to Scale" (corresponding to RTS for undesirable outputs).
The key idea is to introduce a new scalar field which is constant when evaluated at the scale corresponding to the metric of physical interest.
Depending on the degree of anisotropy a maximum failure strain is predicted for a length scale corresponding to 10 15% of the reinforcement radius.
experiments utilized are found to be sensitive to chain dynamics on the length scale corresponding to the critical molecular weight, not the total polymer molecular weight.
The hypothesis that many benthic variables vary at the largest spatial scale, corresponding to the salinity gradient, was refuted for number of species but not for total abundance and species composition.
The dimensions of the geofoam blocks were 2.5 cm high, 5 cm wide, and 15 cm long to achieve a 1 20 scale corresponding to actual block size that is commonly manufactured.
It was found that the estimates of measurement-error variance ranged from 0.37 (deepwater sculpin, Myoxocephalus thompsoni) to 1.23 (alewife, Alosa pseudoharengus) on a logarithmic scale corresponding to a coefficient of variation = 66 to 156%.
A model for the unsaturated zone of Yucca Mountain, Nevada, is developed to represent complex heterogeneity at two different scales: (1) layer scale corresponding to geologic layering and (2) local scale.
