Sentence examples for geometric distinct from inspiring English sources

Moreover, if sharp Bigl{ jinmathbb{Z}^ big|max_{i=1,2,3}bigl alpha ^{i}_{2j+1}-alpha^{i}_{2j}bigr)>2aT Bigr} =r, quad rinmathbb{Z}^, where (sharp cdot)) denotes the number of elements in a set, then equation (4.8) has at least r geometric distinct T-periodic solutions.

If the pair of images being registered does have distinct geometric features as correspondences, incorporating this geometric feature information can greatly improve accuracy and efficiency.

Many coordination compounds have distinct geometric structures.

SEM showed AuNPs of small sizes and distinct geometric shapes at × 80000 magnification (Fig. 4a).

Biosynthesis of gold nanoparticles of distinct geometric shapes with highly functional protein coats without additional capping steps is rarely reported.

Equally striking are the distinct geometric spaces in which the heart of the house is triangular-shaped glass and concretriangular-shaped glass in the interior wands.

However thorough dispersion of nanomaterials in the cementitious matrix is critical for effective use of their distinct geometric and engineering properties towards development of higher-performance cementitious nanocomposites.

A variety of modelling approaches are used as a part of this approach including cutting algorithms, geometric and dynamic (distinct element) force models, and lattice Boltzmann methods.

In this test, four small objects with distinct geometric properties were chosen and their accurate models as reliable true data were generated.

The electrode microstructure is imaged by X-ray nanotomography, then partitioned into a network of resistive components with distinct geometric characteristics.

Trochut says his creative motivations also derive from both the distinct geometric elements and perceptual distortions of M.C.