Sentence examples for using this expression in from inspiring English sources

Using this expression in Eq. (5), we arrive at (6) p (W ¯ (1 ) > d ∣ a > c, b > d ) = 2 θ − θ 2. Strikingly, this only depends on θ, and is independent of the concrete choice of the probability density function f(x).

We use this expression in (2.17).

However, Einstein nowhere uses this expression in the (1905b) derivation of mass-energy equivalence.

We use this expression in the integral balance equations, from which we find the Laplace transform of the ligand concentration.

It is also shown that predictions using this expression are in close agreement with those from an empirical expression previously proposed by the autho.

Avoid using this expression with people who are in a position of authority over you, such as an instructor, supervisor, or elder.

We use this expression to calculate the change in the resonant frequency of a whisker if the tip breaks (Fig. 5).

We did not use this mathematical expression in its original form when estimating the AAFs for several reasons.

Use of this expression in the thin thermal/concentration boundary layer equations for the conduit geometry yields where jd is the mass transfer factor and St∞m is the Stanton number both being based on the average approach velocity, Ū. Lf is the flow path length.

At the same time the fold change by itself provide valuable information and it is important to find unambiguous ways of using this information in expression data treatment.

Using this method, gene expression in the blood of patients with Duchenne Muscular Dystrophy is shown to differ for hundreds of genes when compared to controls.