Sentence examples for by using the elementary from inspiring English sources

By using the elementary inequality for, we have (2.24).

Loss permittivity of the polymers under study in this relaxation zone has been reproduced from the partial depolarization data by using the elementary relaxation times and activation energies.

By using the elementary properties of the Gaussian c.f., as in the proof of Lemma 10.IV in [3], one gets ( ∫ | t | ≥ n 1 / 4 2 M | d l d t l e − t 2 / 2 | 2 d t ) 1 / 2 = O ( 1 / n ). for l = 0, 1.

R C W is the rotational matrix from world frame to camera frame, represented by using the elementary rotations [15], R C W = c ϕ y c ϕ z s ϕ x s ϕ y c ϕ z - c ϕ x s ϕ z c ϕ x s ϕ y c ϕ z + s ϕ x s ϕ z c ϕ y s ϕ z s ϕ x s ϕ y s ϕ z + c ϕ x c ϕ z c ϕ x s ϕ y s ϕ z - s ϕ x c ϕ z - s ϕ y s ϕ x c ϕ y c ϕ x c ϕ y (11).

By using the above elementary invertible linear transformations, the augmented matrix [ A | T ] transforms into row-echelon form, which yields (2.3) from the last low.

Ionospheric source currents have already been computed before by using the spherical elementary current systems (SECS) method (Amm and Viljanen 1999).

Especially, Qi et al. [ 8] used a compacted metabolic model to predict the targets for enhance isobutanol by B. subtilis using the Elementary mode analysis, and a strategy of pgi deletion and zwf overexpression was carried out with the EMP pathway disrupted, and resulted in excess supply NADPH to inhibit cell growth, which was overcome by expressing the UdhA from E. coli.

There is another proof using the elementary amalgamation theorem and the elementary chain theorem.

Finally, using the elementary inequality for real numbers (3.19).

Using the elementary inequality, ( and ) in (2.24), we get (2.25).

A quantum computer, however, stores information by using the states of elementary particles.