Sentence examples for minimal representations from inspiring English sources

Minimal representations are known to have no redundant elements, and are therefore of great importance.

By exploiting the structure of minimal representations we obtain an explicit co-rank formula for Rudin's quotient modules.

We apply this to the minimal representations of the exceptional groups of real rank 4 and investigate the correspondences of certain compact dual pairs.

Second, experimental methods provide an opportunity to design materials that use minimal representations of phenomena of interest or to use a broader, 360°, approach in depicting the phenomena; I argue the latter approach is a valid option.

Previously not considered similarities and differences between DPH and continuous phase type (CPH) distributions are investigated and minimal representations, called canonical forms, for the subclass of ADPH distributions are provided.

To prevent a recurrence of unexpected heat, slow times and minimal representation in the Olympics, officials and runners have suggested putting future marathon trials on cooler, flatter courses.

Ever since President George W. Bush decided to illegally detain prisoners taken on the battlefield in Afghanistan and accused of terrorism, right-wingers have launched periodic attacks on the handful of lawyers willing to give those prisoners the minimal representation they are allowed.

Hence, in our experiments, we monitor 5 addresses as a minimal representation of practical attacks.

The sample was predominantly from the US, UK, Australia and Canada with minimal representation from developing countries.

The exponential coordinate is a minimal representation of the rotation matrix, but it can avoid singularities.

The minimal representation is used for optimization and the augmented representation for simulation, thereby keeping the simulator implementation unchanged.