Sentence examples for and the complement of from inspiring English sources

For a set,,,, and denote the closure, the interior, the boundary, and the complement of, respectively.

The boundary, the closure, and the complement of a set S in (mathbf{R}^{n}) are denoted by ∂ S, (overline{mathbf{S}}), and (mathbf{S}^{c}), respectively.

The boundary, the closure and the complement of a set S in R n are denoted by ∂ S, S ¯, and  S c, respectively.

From Lemma 1 and the complement of the ϵ-neighborhood of a set in (10), we have X ¯ ∈ V ε ( C ) ⇒ X ¯ C ⊥ ≥ ε.

This method considers the nodes in the cluster and the complement of the nodes in the cluster remaining in the graph for defining the expansion measure.

The charge density of a PCE is commonly considered the result of a certain molecular architecture and the complement of the sidechain density, regardless the synthetic route chosen to produce the comb polymer.

The countryside is becoming less and less the counterpart and more and more and more the complement of the city.

Neog and Sut [5] have reintroduced the notion of fuzzy soft sets and redefined the complement of a fuzzy soft set accordingly.

where R(i is the peak magnitude, and is the complement of the set U i).

where, are vectors with elements, respectively, is the vector containing, and is the complement of, where.

and r' is the complement of r.