Sentence examples for been shown for linear from inspiring English sources

However, it has already been shown for linear stochastic oscillators that the Euler Maruyama method does not preserve second moment properties of that system [48] and it is expected that this negative result extends to nonlinear stochastic oscillators as well.

Results are shown for linear and nonlinear 1-D benchmark problems and a 2-D linear benchmark problem.

Predicted optimal lengths are shown for linear polyelectrolytes (red circles) and model NAs (blue triangles) with 50% base-pairing.

95% confidence interval (CI) and P-value are shown for linear regression model adjusted for age and gender, myogenic purity, number of PDs, and batch.

One argument in favor of using snus for harm reduction is that a linear relationship has been shown for the number of daily cigarettes smoked and the risk of myocardial infarction, according to the global INTERHEART study in >15,000 subjects with MI and their matched control subjects (16).

Two fourth-order schemes are described, and results are shown for three linear and nonlinear CAA benchmark problems.

Numerical examples are shown for the linear advection, KdV and FKPP equations, in one and two dimensions.

It can be shown for regular linear discrete time systems, see [7, 23], that if a positive scalar function W Y k ) can be found such that its forward difference ΔW (Y k ), where Δ W ( Y k ) = W ( Y k + 1 ) - W ( Y k ).

Values are shown for a linear polyelectrolyte, the model base-paired NA, and the actual genome length for each virus.

Here, the residual chemical potential is shown for a linear polyelectrolyte, isolated in solution (red squares) and encapsidated in the simple capsid model (black circles).

The possibility of cascades of combined bifurcations is shown for a non-linear system with two external periodic forces.