Sentence examples for smooth functions of from inspiring English sources

The coefficients, are sufficiently smooth functions of in, where, and,.

where,, are smooth functions of and at least of the third order in variables, (3.17).

where,,, are smooth functions of and at least of order three in variables.

The model terms f 1a – f 5a are unknown smooth functions of the corresponding predictor variables.

One can see that all tensor elements are smooth functions of period.

The generalized system is shown to globally conserve energy and weighted smooth functions of the vorticity.

where w 0 and w 1 are some smooth functions of t and x; w ˆ 0 and w ˆ 1 are some smooth functions of t ˆ and x ˆ.

Assume that the parameters f ( t ), g ( t ) and h ( t ) are arbitrary smooth functions of t.

It can happen that even when the Aij are smooth functions of t or constant, the solution X may have a singularity or even infinitely many singularities.

This suggests that in the limit of N → ∞, at any instant in time, V and h will be smooth functions of the continuous variable I app.

An alternative is to consider the system parameters are smooth functions of spatial coordinates, which define a partial differential equation while they make the network structure preserved.