Sentence examples for necessary representation of the from inspiring English sources

However, focusing on the pre-WGD to WGD transition, we have found that these entities are in some sense a necessary representation of the data.

A sufficient and necessary representation of rigid body transformations is put forward followed by an accurate and robust algorithm for the registration of free-form surfaces.

Since biogeochemical processing occurs differently in the HTS and STS, two-zone storage models provide necessary representations of transport in river systems for studies focused on aspects of water quality.

Simultaneous consideration of structure and motion is believed to be necessary for accurate representation of the solution-state of a protein.

The necessary virtual representations of the robot cell components and the products to be manufactured are defined and the information interchange is explained.

A related issue concerns whether it is necessary to choose a representation of the ring in a Hilbert space; see Haag and Kastler (1964), Ruetsche (2003), and Kronz and Lupher (2005) for further discussion of this issue.

An advantage of using a TIN over a raster DEM in mapping and analysis is that the points of a TIN are distributed variably, based on an algorithm that determines which points are most necessary to an accurate representation of the terrain.

Statistical mechanical treatment and a proper description of interactions between the particles of the system are necessary for an adequate theoretical representation of the electrochemical systems.

For simulating the mechanical, electrical, optical… properties of such materials, it is necessary to determine the numerical representation of the microstructure.

For the case of polycrystalline and inhomogeneous materials, the added challenge is that nanoscale resolution is in general not compatible with the large sampling areas necessary to have a statistical representation of the specimen under study.

Hence, in order to get a better classification map, it is necessary to extract an informative representation of the original spectral signature.