Sentence examples for necessary representation from inspiring English sources

The server robot determined the necessary representation autonomously and requested its shape representation.

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.

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.

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.

We suggest that consideration be given to whether, in an appropriate case, [exceptional funding] be provided for early legal advice even where it is not considered to be necessary for representation at the hearing".

In anticipation that some percentage of smuggled immigrants will get caught and detained as they try to enter the country, the smugglers in China even offer a discounted rate to their clients for any necessary legal representation.

It was also notable for the success of the anti-immigrant Sweden Democrats, who broke through the 4 percent threshold necessary for representation and became the first far-right party to enter the Swedish parliament, capturing 20 seats.

Because the alliance's previous partner in its governing coalition, the Free Democratic Party, failed to reach the threshold necessary for representation in the Bundestag, the SPD joined Merkel's new government, but without Steinbrück in a leading role.

As far as the German elections are concerned, though, Mr. Schröder's unilateral approach to American unilateralism worked quite well: it was probably what won over just enough of the unconditional pacifists from the Green Party to prevent the Party of Democratic Socialism -- the former Communist Party of East Germany -- from obtaining the 5percentt necessary for representation in Parliament.

Without further qualification, then, simple resemblance is neither sufficient nor necessary for representation.

In the case of a thorough understanding of given modeling problem, where the user has previously computed the necessary molecular representation (with chemical descriptors or other structural information) the "Customized" mode option 2 bypasses all the descriptor computation phases and proceeds directly to model building.