Sentence examples for geometric understanding from inspiring English sources

This nonsingular analysis confirms our geometric understanding of the singular limit prediction on both interval boundaries.

Numerical optimization plays a major role but in itself would be powerless without geometric understanding.

Our experimental and computational results provide a fundamental and geometric understanding of AuNPs at different concentrations of caffeic acid.

The most important step in the proof, the geometric understanding of the invariant (epsilon in H_2(G, {mathbb {Z}})) was obtained by Livingston [272].

Around 2005 it became apparent in the geometry processing community that freeform architecture contains many problems of a geometric nature to be solved, and many opportunities for optimization which however require geometric understanding.

The solenoidal picture is useful to have an intuitive (geometric) understanding of the method.

Robust geometric structural understanding methods are the prerequisite for capturing the intrinsic geometric structure which is hidden behind the noisy PPI network data.

To date, the best example illustrating the importance and usefulness of geometric approaches for understanding the dynamics and function of specific, experimentally tractable, developmental regulatory systems comes from an analysis of the gap gene regulatory network involved in pattern formation during early embryogenesis of the vinegar fly Drosophila melanogaster.

The appearance of new varieties of optical glasses encouraged continued development of the microscope in the 19th century, and considerable improvements were made in understanding the geometric optics of image formation.

Understanding the geometric structuring of alluvial step-pools is an enduring problem in mountain stream geomorphology.

In order to obtain the simplified formulation that is useful for analysis and understanding the geometric relationship, consider only the direct paths in Equation (3).