Sentence examples for using the relations of from inspiring English sources

Using the relations of the previous paragraphs all the transition curves were calculated and selected segments of the transition curves (R ≤ 1500 m) are presented in Fig. 3, to demonstrate the differences between them.

Then we can derive some relations of the polynomials b n ( 2 ) ( x, y ) by using the relations of the Bernoulli polynomials B n ( x ) along with the operational rule (2.12).

The tau and Galerkin methods are analogous in the sense that the FDEs are enforced to satisfy some algebraic equations, then some supplementary set of equations are derived using the relations of boundary conditions (see, e.g., [12] and the references therein).

As density logs are not often run from surface, we calculated the density from the interval velocity using the relation of Gardner et al. (1974), which relates density to interval velocity, where there are no density logs.

By using the relation of Young, the minimum of E leads to the Cassie Baxter relation: (5).

The volumes of the landslides occurring in vegetated areas can be estimated using the relation of Fig. 4b.

Using the relation of V(n + 1/2,x), n ∈ ℕ, with Hermite polynomials [[16], 12.7.3] we get: Theorem 15.

Compared to the previous works, better results can be expected by properly using the relation of the left and the right images as a side information.

The principal goal of this note is to give a new proof of the problem without using the relation of these two theorems.

Objects are tracked using the relation of the points, and their locations and movements are calculated based on the previous state of these points.

Aadnoy suggested that using the relation of (sigma_{{{text{H}},{text{Min}}}} = 0.8sigma_{{{text{H}},{text{Max}}}}) (Aadnoy 2010) holds good for most of the areas.