Sentence examples for been established for linear from inspiring English sources

Feasibility and reproducibility has been established for linear amplification from nanogram to low microgram input quantities of total RNA to yield high fidelity gene amplification products suitable for gene expression microarray analysis [ 6- 16].

By proper simplification and linearization, the state space equation of the system was established for linear analysis and control design.

Based on the theory of time scales and the direct Lyapunov method, a synchronization criterion is established for linear CDNs on general time scales.

The main result of the paper is the design of an efficient algorithm to determine an optimal sequence in which to attempt the activities; a result which is established for linear and exponential utility functions.

However, when consumption takes place only at (t=1) so that the risk-free assets' prices are exogenous and chosen to be equal, price equality can be established for linear marginal utility as well.

Linear dependence has been established for the x-spectrum standard deviation of the distribution of macromolecules in the ultracentrifugal field, as a function of the sedimentation boundary shift.

Next, based on stochastic Lyapunov stabilization analysis, sufficient conditions for the existence of a PI tracking control are established for each linear model in terms of linear matrix inequalities.

Using stability theory, new definitions of mode localization can be established for both linear and nonlinear structures.

This result was established for the linear n th-order differential equation y ( n ) ( t ) + a 1 ( t ) y ( n − 1 ) ( t ) + ⋯ + a n ( t ) y ( t ) = 0, (1.3).

A framework called generalized inferential control (GIC) is established for designing robust, linear inferential control systems for multi-rate sampled-data systems.

Structure activity relationships (SAR) were established for the length of linear chain linker and substitutions on the benzoylurea group.