Sentence examples for express the boundary from inspiring English sources

Formulae (3.7) express the boundary values of the Cauchy integrals in terms of their singular versions.

Using the characterization developed herein, we express the boundary points of the SPCGS rate region as the solution of an optimization problem.

We have developed a system that assists in identifying which auxiliary dataset should be used to determine each map unit boundary width, and thereafter express the boundary as a transition zone between two or more soil types.

In this paper, presented is a new clustering method in which we use the ambiguity index to express the boundaries of the clusters.

We have also expressed the boundary points of this region as the solution of an optimization problem.

This target segmentation method of variational model under the framework of partial differential can be both flexible and robust, expressing the boundary region naturally and integrating a variety of image information organically to complete the image segmentation.

In Figure 1, the horizontal axis means frequency of image with f = 1 expressing the boundary of image.

The experimental results are reproduced using an analytical function that expresses the boundaries stiffness in terms of the bolt tension.

The vertical displacement at each boundary must be calculated at each time-step by solving the equations expressing the dynamic boundary conditions.

In Drosophila embryos, cells on the compartment boundaries express the secreted signaling molecules Wingless and Hedgehog (Lawrence, 1992), which could establish compartment size; this mechanism would predict that apoptosis is enriched in the center of the compartment.

Boundaries express the extent of your responsibilities, power, and agency; they also inform others what you are willing to do and accept.