Sentence examples for form of the random from inspiring English sources
A generalized form of the random walk algorithm to simulate diffusion processes is introduced.
The Simplified Energy Method equations are found to be the asymptotic form of the random relationships, when the frequency as well as the standard deviation are sufficiently high.
Then, a random forest predictor was built to distinguish the real from synthetic data (see Methods) and define a similarity measure between the psoriatic cases in the form of the random forest proximity measure.
Although the model in equation (1) makes no assumptions of the distributional form of the random effects, the REML estimators that we used to estimate the variance components assume normal distributions.
The distribution of r's between our data set and the random case (see Methods for a derived closed form solution of the random case) clearly differed (Figure 1A).
A general unstructured covariance was assumed, that is, no specific forms of the random-effects covariance matrix were assumed.
Missing data can occur in the form of random or non-random patterns.
In such case, the analytical approximation of the estimator MSE takes the form of a random variable, the mean, variance, and probability density function of which are derived and given in closed form.
The form and distribution of the random valleys observed within Moreux suggests their formation by pressure-induced melting and flow occurring beneath an extensive layer of ice.
In hysteresis damping, some of the energy involved in the repetitive internal deformation and restoration to original shape is dissipated in the form of random vibrations of the crystal lattice in solids and random kinetic energy of the molecules in a fluid.
The form of the rainbow seems random, as if the colors were spilled from heaven -- Kent died of cancer not long after completing the work -- but Boston residents have long discerned a distinctive profile in the dominating blue streak, the high forehead and elongated thin beard of Ho Chi Minh.
