Sentence examples for be an initial universe from inspiring English sources

[1] Let X be an initial universe and E be a set of parameters.

We also let (mathcal{U}) be an initial universe, let E be a set of parameters and let (2^{mathcal{U}}) the collection of all subsets of (mathcal{U}).

Let X be an initial universe set and E be the set of all possible parameters with respect to X. Parameters are often attributes, characteristics or properties of the objects in X.

The main purpose of this paper is to introduce soft filters which are defined over an initial universe with a fixed set of parameters.

Topological structure of soft sets was studied by many authors: Shabir and Naz [5] introduced the soft topological spaces which are defined over an initial universe with a fixed set of parameters.

Shabir and Naz [2] introduced the notion of soft topological spaces which are defined over an initial universe with a fixed set of parameters.

We have studied some soft neighbourhood properties in a soft topological space and introduced soft filters which are defined over an initial universe with a fixed set of parameters.

Hereafter, U refers to an initial universe, E is a set of parameters, P(U is the power set of U, and A is a nonempty subset of E.  Definition 1.

"This was an initial step".

There was an initial bump.

Let (X={x_{1},x_{2}, ldots }) be a universe of discourse.