Sentence examples for basic notations used in from inspiring English sources

In this section the most basic notations used in fuzzy calculus are introduced.

The basic notations used in this paper are listed in Table 1.

Finally, we briefly summarize the basic notation used in this paper: Let (mathcal {H}), (mathfrak {H}) be separable complex Hilbert spaces, ((cdot,cdot )_{mathcal {H}}) the scalar product in (mathcal {H}) (linear in the second factor), and (I_{mathcal {H}}) the identity operator in (mathcal {H}).

The basic notations used throughout this paper are listed in Table 1.

In Section 2, basic preliminaries and notations used in this paper are given.

In this section, all the basic functions and notations used in this paper are defined.

Notations used in this study.

Table 1 describes notations used in this article.

Using this representation we prove the analogue of Wiman's formula for (1.1) on [ t 0, ∞ ) T, which is given by N ( t 0, t ) ∼ 1 π ∫ t 0 t lim q ↘ μ ( s ) tan − 1 ( q w − 2 ( s ) ) Δ s q, t → ∞. (1.4). First we recall some basic definitions and notation used in time scale analysis (see [2, 3]).

Let us now introduce the notation used in the paper.

We will follow the notation used in Blass (1992).