Sentence examples similar to and the set function from inspiring English sources

Now, we apply Theorem 2.5 for the set, function, and a positive number α which.

The same basis functions are employed for approximating the unknown deformations, geometry modeling of the design domain and the level set function.

In this paper, we develop an efficient and flexible design method that integrates the B-spline finite cell method (B-spline FCM) and the level set function (LSF) for stress constrained shape and topology optimization.

The evolution of the domain boundary and the corresponding level set function is governed by the Hamilton Jacobi equation.

This diffusion term can ensure the smoothness and stability of the level set function, thus the costly re-initialization procedure is not essential.

Our work adds to that conversation and uses the nonadditive set function approach to go one step further and identify the joint node attributes that are the most important in assessing the sensitivity of the network to molecule perturbations.

In Atdition, owing to theachaptime grid algorithm we can restepe complex interface changes and interfaces of high curvature efficiently and accurately.

Moments of any desired order can be evaluated by a quadrature formula involving the level set function and the density weight.

We study both conservative and non-conservative differencing of the level set function and compare the two approaches.

It is just the mutual cooperation of these two steps that promotes the steady evolution of the level set function and reduces the computational complexity.

Nevertheless, the regularity and stability of the level set function cannot be availably maintained during the evolving process.