Sentence examples for used the notation for from inspiring English sources

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.

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 used the notation of Liu and Zeng [ 10] for comparison purposes.

We will use the notation for the set.

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

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

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

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

We consider the space of linear functionals in the space, and we use the notation, for the functional value of the function.

We shall use the notation for q-factorial numbers: for (qin mathbb {k}^times ), (nin mathbb {N}), begin{aligned} (0)_q!

[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)  .