Sentence examples for necessary boundaries from inspiring English sources

The Supreme Court's refusal to permit organized student-led prayers before public high school football games reinforces the necessary boundaries between church and state.

During this process, only necessary boundaries are kept while others are deleted.

Grain refinement takes place by geometrical thinning and grain subdivision by the formation of geometrically necessary boundaries.

The algorithm is successfully used to create the BMDs observed in deformation microstructures containing both incidental dislocation boundaries (IDBs) and geometrically necessary boundaries (GNBs).

The evolution of misorientation angles between the newly formed grains and the parent with applied straining agrees reasonably well with experimental misorientation angle distributions for geometrically necessary boundaries.

Significant grain subdivision by the formation of geometrically necessary boundaries (GNBs) takes place during both quasi-static and dynamic deformation of this AZ31 alloy.

"The Contender" has a lot of thumping, high-minded things to say about the necessary boundary between the public and private lives of politicians, but the film itself plots this borderline with a haphazard confusion that may be its truest mirroring of the actual state of the union.

Most challenging for such a simulation is the generation of necessary boundary conditions.

Size and distribution of slip band thicknesses and geometrically necessary boundary (GNB) spacing are comparable.

Thus, throughout the simulation both codes provide the necessary boundary conditions for each other.

The latter is the necessary boundary regularity for the present study, cf. footnote 3 on page 16.