Sentence examples similar to use remarks from inspiring English sources

Also let (we will use Remark 2.5) and let be given by (2.28).

Since Properties (Q1), (Q2) of Lemma 3.15 obviously hold for (S'( MM _4)) we can use Remark 4.16.

To prove this theorem, we only need to use Remark 2 and the following Lemma 4.1 and the same methods as the proof of main theorem.

For an arbitrary (ngeq3) and (0leq mleq1), we use Remark 1, i.e. we consider the following inequality: (-1)^{n-2}frac{partial^{2}G_{mn} u,t)}{partial u^{2}}geq0.

During the interviews some respondents used remarks as "hearing voices," "sleeping problems [caused] by stress," "I always cry," "to have nightmares" and "stress and problems with husband," but did not mention them as mental health problems specifically.

Using Remark 4.1, we derive a contradiction.

because, for by using Remark 1.4.

Now, explicit computations, using Remark 2, yield the following propositions.

Since, using Remark 1.6 and Corollary 1.4(3), it follows that.

Hence, by using Remark 2.4, we find that.

We will show the improvement by using Remark 2.