Sentence examples for by introducing random functions from inspiring English sources

By introducing random functions as constraints correlating the orthogonal random variables involved in the unified formulation, the dimension-reduction spectral representation method (DR-SRM) and the dimension-reduction proper orthogonal decomposition (DR-POD) are addressed.

While the difference from the updated scheme lies in the dimension reduction of Karhunen-Loeve expansion through introducing random functions as a conditional constraint upon uncorrelated random variables.

This paper presents a stochastic model for general periodic excitations with random disturbance, which is constructed by introducing random amplitude and phase disturbances to individual terms in the Fourier series of the corresponding deterministic periodic function.

We then tried to improve the affinity of the anti-DD2 slan scFv by introducing random mutations.

The study was later extended, e.g., by introducing random mutation of interaction strength in various replicator networks [ 7] or by introducing random growth in replicator networks [ 8, 9].

A mutated sublibrary was created by introducing random mutations in the KM10 scFv gene.

The predetermined values of the transition probabilities are evaluated by introducing random noise.

GLMM is the extension of GLM by introducing random effects into the linear predictor of the GLM [ 16, 17].

Random orientation of individual fibres is introduced into the model in terms of the orientation distribution function (ODF) in order to determine the material's anisotropy.

In the proposed approach, the high-dimensional random variables, included in the original spectral representation (OSR) formula, could be effectively reduced to only two elementary random variables by introducing the random functions that serve as random constraints.

By reasonably introducing random noise, a method to construct stochastic Lagrangian control systems is given.