Sentence examples for comparison of projections from inspiring English sources

Assume that A is a unital separable simple C*-algebra with real rank zero, stable rank one, strict comparison of projections, and that its tracial simplex T(A) has a finite number of extremal points.

Combining these ideas with the Dixmier property, we demonstrate unital, infinite dimensional C⁎-algebras of real rank zero and strict comparison of projections with respect to a faithful tracial state must be simple and have a unique tracial state.

Comparison of projections from the different scenarios provides a measure of physical and societal mass bleaching "commitment" given different assumptions about the adaptability of coral reef ecosystems.

Comparisons of projections from 1990 to 2000 using this approach with census counts in 2000 for each of the 50 states and Washington, DC show that 68.0 %, 17.0 %, 11.2 %, and 3.8%% of the absolute percentage errors are <3.0%%, 3.0 % to 4.99 %, 5.0 % to 9.99 %, and ≥10.0 %, respectively.

Trend line comparison of the projections made by the RaMCO model and the qualitative projections based on expert knowledge revealed an insufficient number of land-use types adopted by the RaMCo model.

We show that Murray von Neumann comparison of open projections corresponds to tracial comparison of the corresponding positive elements of the C⁎-algebra.

Fig. 2. Comparison of surface projections of slip model I, II, III by joint inverting teleseismic body and surface waves.

The revision to the model structure allows for a comparison of model projections between the original and revised MoT.

In addition, SimSmoke has performed well in predicting smoking prevalence in over 20 countries, including comparison of model projections with historical effects of past implemented policies in other East Asian and middle income nations with widely different policies.

Comparison of the two projections for the middle of 21st century revealed similar patterns of projected hazard potential, although our indices suggested more extensive high-hazard areas in coastal lowlands of the Russian Arctic.

This approach displays the size of countries accurately but still distorts their shapes, and has failed to become widely adopted (see our map "slider" above for a comparison of the two projections).