Sentence examples for deformation function from inspiring English sources

Let us consider a two-dimensional deformed nonlinear Heisenberg algebra with deformation function f(P): begin{aligned}[ X_1, P_1] = if(P), quad [ X_2, P_2] = if(P), quad [P_1, P_2 ] =0, end{aligned} (23 where (f(P) = f(P_1, P_2)) is an positive function obeying begin{aligned} f( - P_1, P_2 ) = f(P_1, P_2), quad f( P_1, -P_2 ) = f(P_1, P_2).

To do so, we deduce from (16), the deformation function defined on (17).

Because we apply the deformation function on each dimension, we can find spatiotemporal blobs that represent the spatiotemporal extent of each interaction.

In contrast to other structured materials used for impact mitigation, these networks exhibit reversible deformation, function over all frequencies, and possess a low relative density.

The technique does not require specifying the deformation function associated with facial feature parameters, and does not require a detail anatomical model of the head.

This criterion allows the load to be represented as the product of two separate functions, namely a material deformation function and a crack geometry function.

There are infinite number of deformation functions satisfying the properties (32) and (33).

We introduce several types of deformation functions to realize easy and versatile design techniques.

Liao[12] used special deformation functions which are determined completely by only one characteristic parameter |c2| < 1 and |c3| < 1, respectively.

Additionally, the complete BVP for shells with slowly varying curvatures is formulated in terms of stress and deformation functions.

This requires extensive user interaction to construct the pre-defined facial model, the deformation functions, or the anatomy based facial model.