Sentence examples for expressed the boundary from inspiring English sources

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

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.

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.

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

At this condition, PDI was expressed at the boundary of dilated ER vacuoles, whereas COX IV was expressed within the dilated mitochondria.

In Section 3.1 we expressed the points on the boundary of the SPCGS rate region of a -user -subchannel broadcast channel as the solution of the optimization problem in (16a)–(16a).

For example, it was shown by Goldschmidt and colleagues (2008) that altering FIL and YAB3 expression leads to changes in the expression of LATERAL SUPPRESSOR, a gene which is normally expressed at the boundary of organ primordia [ 24].