Sentence examples for be the power set from inspiring English sources

let be the power set of, and let the measure be defined on by (1.18).

Let P ( H t ij ) be the power set of all pairings s k, t ij ∈ H t ij.

Now, let be the power set of We expand the product of the matrices and write (3.7).

Let 〈 ⋅, ⋅ 〉 be the dualpair between X and X ∗,and let 2 X be the power set of X. Definition 2.1[22].

For a nonempty set X, we let (mathcal{P}(X)) be the power set of X and (2^{X} =mathcal{P}(X) - {emptyset}).

2. These models of second-order logic with a Comprehension Principle for Concepts are called 'general models' (as opposed to 'standard' models in which the domain of concepts is taken to be the power set of the domain of objects).

This can be followed by iterating the power set operation as before: Aω′ is the power set of Aω and so forth.

The bottom of the hierarchy is composed of the sets A0 = Ø, A1, …, An, …, in which each An + 1 is the power set of the preceding An.

where AtProp is a set of atomic propositions and ℘ is the power set functor on sets.

The basic example, of course, is the power set ℘(X) of a set X.

Where ||V|| is the power set of V and |w| is the cardinality of w.