Sentence examples for observations are applied from inspiring English sources

Several observations are applied to easily choose many supersingular elliptic curves over a prime field Fp,p>3,p≡3mod4, in such a way that the size of the torsion subgroup, the curve order and the finite field characteristic are of minimal Hamming weight.

The first observations (about 80% of the sample) are used as the training sample to formulate the models and the last 470 observations are applied as a test sample to evaluate the performance of the constructed models.

Statistical methods, which limit the influence of extreme observations, are applied to obviate assumptions about underlying probabilistic models (Hoaglin et al., 2000).

Information derived from such observations is applied in studying other stars.

Observations were applied to investigate the differences on the behavior linkages and the idea sketches between the designers' ideation with IDEATOR and without IDEATOR.

To assess this potential, a digital surface model (DSM) of the urban region was built from LiDAR data and a solar radiation model based on climatic observations was applied.

For each time point, two paired observations were applied.

All determinations were performed in duplicate and the mean of two observations was applied.

For the relationships between lay and professional assessments, the McNemar test for paired observations was applied.

Low inoculum density (40 150 spores · cm−2) facilitating good microscopic observations was applied for leaves used only for histopathological analyses.

Imputation for missing observations was applied to efficacy endpoints evaluated at or before week 52 using the last observation carried forward (LOCF) method.