Sentence examples for complement of a set from inspiring English sources

Notice that this doesn't tell you that your complementation has to be classical, but it does tell you that a complement of a set should be a set.

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.

They have shown that the modified definition of the complement of a fuzzy soft set meets all the requirements that the complement of a set in the classical sense really does.

The finite and cofinite (complement of a finite set) subsets of the set N of natural numbers form a subalgebra of the powerset Boolean algebra 2N not isomorphic to the free Boolean algebra, but it has atoms, namely the singleton sets.

Here, the notation denotes the relative complement of set in set.

In contrast, a shared loss of 24 homeobox gene families in flukes and tapeworms, and an additional loss of 10 further families unique to tapeworms, when comparing the respective homeodomain complements to a set of 96 homeobox gene families expected for the most recent common ancestor of the Bilateria, were reported (Tsai et al. 2013).

Since each neighborhood in of a point of is projected by onto the complement of a finite set in, the function is discontinuous at each point of.

The complement of a soft set (F,A) is defined as (F,A) c = (F c,A), where F c (x) = (F x)) c = U−F x), for all x ∈ A. A soft set (F,A) over U is said to be a null soft set (an absolute soft set) if F x) = ϕ (F x) = U), for all x ∈ A. This is denoted by Φ ~ A ~ Open image in new window.

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

set, i.e., the complement of a computably enumerable set.