Sentence examples for realization of the complex from inspiring English sources

In terms of our basis, a particular realization of the complex structure is given by and.

In terms of the chosen orthonormal basis, a particular realization of the complex structure may be and,.

Such signal transduction is indispensable for not only practice of an effective utilization of resource but also realization of the complex systems in organism.

To that end, we start from the Clifford Weyl algebra in its canonical realization on the complex (fancyscript {A}_V) of holomorphic differential forms for a (mathbb {C} )-vector space (V_0,).

where ({c = {1} /{{{left | {{mathbf {h}_{k}}} right |}}} = {1}/ {sqrt {{{| {{beta _{k}}} |}N_{t}}}} }) denotes the normalized factor of the precoding vector while the expectation in (19) is across all channel realizations of the complex gain β k and steering vector v k.

(a) A simplicial complex, (b) a map of simplicial complexes, and (c) a geometric realization of the simplicial complex in (a). Figure 4 Examples to illustrate simplicial homology.

Based on the above studies, a preliminary design to fabricate, shape, bond and post-process the LTCC substrate for the realization of a complex system together with the crucial processing issues is presented.

Bulk-optics implementations are impractical for the realization of such complex networks, and a form of integrated optics is necessary.

The ability to assemble crystalline layered materials in a controlled way permits the fabrication of graphene devices on other promising dielectrics and allows for the realization of more complex graphene heterostructures.

"The realization of how complex they are took me about twenty years," Cynthia continues.

The realization of this rhetorical complex is downgraded from clause complex to clause, as shown in Figure 11; in other words, the realization is incongruent: Figure 11 Example of minimally expanded semantic realization of a report.