Sentence examples for derived in the form of from inspiring English sources

Rosenbluth potentials and their derivatives are derived in the form of triple hypergeometric functions.

The stability criterion of the closed-loop system, which is dependent on the size of the time delay and the size of its derivative, is derived in the form of linear matrix inequalities (LMI).

From these networks, process models can be derived in the form of task chains.

All the proposed conditions are derived in the form of linear matrix inequalities (LMIs).

Based on the Lyapunov stability theory, H∞ cluster synchronization criteria are derived in the form of linear matrix inequalities.

On the basis of the above, some sufficient synchronization criterions are derived in the form of linear matrix inequalities.

The signature we derive in the form of gene circuits may not be complete as our results relied on the decoded genomes of bacterial strains currently available in the literature.

Quantitative analysis is very advantageous as the basin variables derived are in the form of ratios or dimensionless numbers, thus providing an effective comparison regardless of scale.

Based upon the test results, the number of impacts for perforation (Nr) under smaller impact energies without testing was easily predicted with the derived equation in the form of Ei= aNrb, where Ei represents the impact energy while a and b are the constants.

The equation of motion derived is in the form of the non-linear Mathieu equation ÿ + (ω2 + a cos θt y + b cos θty3 + cy3 = 0, which was analytically investigated in a previous paper by the present authors and their colleagues [1].

The trait we derived is in the form of a linear combination of variables related to the phenotype, that is y = Xw.