Sentence examples for geometric complex from inspiring English sources

It is an important significance to treat the geometric complex and the precision workpieces.

We suppose throughout that the A is a compact subset of the complex plane ℂ and ( C ( G ), ⊕, ⊙ ) denotes the geometric complex field introduced by Türkmen and Başar [8].

Following Grossman and Katz [1], Türkmen and Başar [4] constructed the field C ( G ) of geometric complex numbers and gave the triangle and Minkowski's inequalities in the sense of geometric calculus.

for all m, n > n 0. Hence, { f n ( x ) } is a Cauchy sequence of geometric complex numbers for each fixed x ∈ A. Since C ( G ) is complete by Theorem 4.5 of Türkmen and Başar [8], the sequence { f n ( x ) } is convergent, say f n ( x ) → G f ( x ) for x ∈ A, as n → ∞.

Later, they respectively defined the classical sets w ( G ), ℓ ∞ ( G ), c ( G ), c 0 ( G ) and ℓ p ( G ) of all, bounded, convergent, null and p-absolutely summable sequences of geometric complex entries and showed that each of the set forms a complete vector space on the field C ( G ).

Tissue samples, in which the geometric complex assemblage was observed, were stained with hematoxylin and eosin, and with neuronspecific enolase immunostain.

Following Grossman and Katz (Non-Newtonian Calculus, 1972), we construct the sets B ( A ) and C ( A ) of geometric complex-valued bounded and continuous functions, where A denotes the compact subset of the complex plane ℂ.

1. Descartes held that all other properties arise from the configurations and motions of such bodies — from geometric complexes.

Čech complexes are examples of geometric complexes which are constructed over points in some metric space with respect to certain conditions.

From 400 cancer processes analyzed, geometric complexes were identified in 216 cases (54%).

Geometric complexes identified photographically at macroscopic level were located in the gross surgical specimen, and these areas were carefully dissected.