Sentence examples for for small values of the parameter from inspiring English sources

Let us see that this problem has only the trivial solution for small values of the parameter.

By using the invariant manifold theory, the authors proved that for small values of the parameter ε, the solution of (1.10) attracted to a two-dimensional invariant manifold.

These methods have their own limitations; for example, the solutions are valid, in most cases, only for small values of the parameter ε.

Note that for small values of the parameter (alpha le 20{^{circ }}), for which the control-oriented model is valid (see Remark 2), the forward velocity has an increase when increasing the parameter (alpha).

It shows that the dynamics of system (3) is chaotic for small values of the parameter β. Figure 5 Sign of maximum Lyapunov exponent for system ( 3 ) around (pmb{E_{2}}).

Using the approximation scheme suggested by Greene and Aldrich [39], we can express approximately the pseudocentrifugal term in the following form [51, 52, 53, 54]: frac{1}{{r^{2} }} approx alpha^{2} frac{{{text{e}}^{ - alpha r} }}{{(1 - {text{e}}^{ - alpha r} )^{2} }} (15)This is a good approximation for small values of the parameter α and it breaks down for large values of α.

They found that dual solutions existed for small values of the magnetic parameter.

Our tests show that even for small values of this parameter, the running time of this algorithm becomes high.

Analytical approximations of the vasic functional characteristics obtained by numerical experimentation are found for small values of the generalized parameters.

Hence, for small values of p, The parameters estimated from the complementary log-log model can be interpreted as those from a logistic model.

The parameter p z is defined and useful only for small values of β, where the target is captured (versus transported through the region).