Sentence examples for derived the result from inspiring English sources

In proposition 4 of Book II, he derived the result that is written today as Let there be given a parallelogram in which a diagonal is drawn; then "all the squares" of the parallelogram will be triple "all the squares" of each of the triangles determined by the diagonal.

Proof Due to Lemma 2.1, we derived the result that ( X, d ψ ) is a complete metric space.

When these deletions are paternally derived, the result is PWS, and when maternally derived, the individual will present with AS [Buiting, 2010].

The authors have derived the results using the following notations in this paper.

Section 4.2 then presents how we derived the results from the data collected.

HJL conducted the literature review, developed the mathematical framework, derived the results, and prepared the manuscript.

Then one can derive the result immediately.

Especially, if, we derive the result of [15].

Let the result be true for (mleq n) and we will derive the result for (m=n+1).

We now derive the result of Yao et al. [[10], Theorem 4.1] as a corollary.

Especially, if, we derive the result of Kim et al. (2009).