Sentence examples for lifting function from inspiring English sources

The two key ideas are the location of the interface either by solving a lower-dimensional partial differential equation or by using data functions and the subsequent removal of the interface of the solution by choosing the determined interface as the lifting function of the Dirichlet boundary conditions.

This is a slightly surprising result since bird tails clearly do have an important lifting function, particularly at lower speeds [1], [2], and a similar role had been hypothesised for the bat tail membrane [9], [10].

We define lift functions in such a manner that the initially flat surface becomes intrinsically curved.

They are lifted from the flat model with the lift function (Eq. 10) without rearrangement.

The rearranged meridians are then lifted down from the flat model with a lift function (Eq. 10).

Equation 9 describes a -parameterized surface in R 3 together with the lift function l ( u, v ), that is, in the Cartesian coordinates ( u, v, l ).

Furthermore, because of this assumption, M is not sensitive to the precise shape of the profiles of the lift function (in particular the Gaussian-shaped profiles with constant standard deviation (iii)).

The factor s = 1 π ∫ − π / 2 π / 2 1 + ( d u d θ ) 2 d θ is needed to resize the profiles, since we define the lift function on the ( ξ 1, ξ 2 ) plane but want to have a Gaussian-shaped FCS in the ( u, l ) plane.

Applying the lift function directly to the retinotopic grid (Fig. 2b) would drive some adjacent meridians farther away from each other than others, depending on ∂ l ( v, u ) ∂ v. Therefore, to obtain a curved retinotopy, we need to rearrange the location of the meridians by an inverse sampling technique, as will be described at the end of this section.

This allows to lift a function from level l to the next finer level l + 1, i.e. u l + 1 = P l l + 1 u l denotes the linear prolongation of a piecewise linear finite element function u l to the finer mesh where it is represented by u l+1.

It is created by forming b with lift functions (see Fig. 1g and h) in the third dimension.