Sentence examples for are transformed using from inspiring English sources

First, the equations of motion are transformed using the Lyapunov Floquet transformation such that the linear parts of new set of equations are time invariant.

The dynamical evolution equations are transformed using the Lyapunov Floquet (L F) transformation such that the linear parts of the new set of equations become time-invariant.

The dynamical equations of motion are transformed using the Lyapunov Floquet (L F) transformation such that the linear parts of the resulting equations become time-invariant while the forcing and nonlinearity takes the form of quasiperiodic functions.

The left and right fields are transformed using two orthogonal linear transformations, so the covariance is maximized.

Distribution was skewed and kurtotic, hence analyses are transformed using a square root transformation, with back transformed results presented.

Note: all independent variables are ln-transformed; all dependent variables are transformed using logistic form The arcsin-log transformed models using all available countries did not differ substantially from the logit-log models (data available on request).

Percentages were transformed using arcsin transformation.

Significantly skewed data were transformed using arcsin transformations.

The relative amount of plug material was transformed using angular transformation in order to homogenize variances.

The deletion cassette was transformed using the protoplast transformation method.

Proportions were transformed using arc*sin (p∧0.5) transformation before the parametric analyses.