Random 3D dispersed particles exhibited the effective isotropic behavior, whereas anisotropy has been observed for random 2D and unidirectional aligned particles.
A similar trend was observed for the random waves too.
When fabrics were wetted at constant full compaction pressure, a significant decrease in thickness was observed for the random fabric, but not for woven and biaxial fabrics.
Similar results are observed with AdaBoost, Bagging and decision tree as were observed for the random forest algorithm, while for the other learning algorithms that are neither tree-based nor ensemble models, the results deviate from the previous pattern.
When a maximum descent of k is observed for the hypergeometric random walk with m up and n down steps (H m,n ), the P-value to determine the significance of the maximum descent is computed as the probability that the maximum descent of H m,n is greater than or equal to k by chance.
Either a decrement or an increment in the critical velocity is observed for the non-linear random turbulence case, depending on the selected example.
Here a useful metric is: the probability that two random trials follow the same pathway, which I call 'path repeatability.' As the probability that any given pathway is observed for both of two random trials is just the square of that pathway's probability, total repeatability is equal to the sum of the squares of the probability of each pathway, summed over all accessible pathways.
The most peculiar behavior is observed for the P3HT-P3 MIM HT-Br 50/50 random coP3HT-P3 MIM HT-Brows organization of the polymer chains in solution and thin film dependent on the preparation conditions.
However, no such positive correlation was observed for expression data obtained by random priming.
This distribution was observed for both protein families and the random set.
