Sentence examples for use the notation for from inspiring English sources

Let us use the notation for dimensionless time as t ̄ = 2 π T t and consider a transmitted signal x t) of the form x ( t ) = A T ( t ̄ ) e i ω c t, (8).

We will use the notation for the set.

From now on we will use the notation for the unique point satisfying (2.2).

By comparing between (2.2) and (2.11), we can also use the notation for in a hyperbolic space.

We will also use the notation for an open metric segment joining and and for a left-open one.

In the following definition we will use the notation for the Kuratowski measure of noncompactness of a given set.

To use the notations for partial derivatives with respect to time scale variables t 1 and t 2, respectively, we employ lexicographic ordering for consistency.

We have now used the notation for both abstract and non-autonomous basins, but thanks to the following lemma this will not cause any problems.

[22, Lemma  2.1 iv)] For and there exists a unique point such that (2.2). one uses the notation for the unique point satisfying (2.2). (iii) [22, Lemma  2.4] For and one has (2.3)  .

To clarify the two, let us use the notation 'E o1)' for an experience that is the conscious experience of just the intentional object o1.

Then H*, the dual space of H, is also continuously and densely embedded into V*, the dual of V. Let us use the notation 〈·,·〉 for the dualization between V and V*.