Sentence examples for above integration from inspiring English sources

When σ R  ≪ r0, the above integration can be performed analytically to give ϕ n ( σ R ) ≈ 4 σ R 3 / 2 ( 2 π ) 1 / 4 r 0 J 1 ( z 0 n ) exp σ R z 0 n r 0 2. Open image in new window.

As mentioned above, integration can be either viewed as a binary variable or on an interval scale assessed through surveys.

The above integration strategy presents a major methodological challenge in that standalone intelligent tutoring systems have traditionally been "application islands" that cannot easily interact with other ITS and learning platforms (Roschelle and Kaput 1996).

As noted above, integration is not straightforward, but is achievable.

However, they all follow the principles outlined above: integration finds an infinite number of rectangles to add together.

It is not possible to obtain closed-form expressions for the above integrations.

Since the extremal function for the Carathéodory function is given by (A.4 we can write (A.5)This shows us that (A.6)Noting that (A.7 we see that (A.8 that is, (A.9 It follows from the above that (A.10 Calculating the above integrations, we have that (A.11)Therefore, we obtain that (A.12 that is, (A.13 Consequently, the function defined by the above is the extremal function for the class.

This is consistent with the claim, noted above, that integration into a larger union is itself a matter of degree.

As discussed above, the integration of MBESS in radial distribution system facilitates the operation of isolated section after fault and thereby increases the reliability.

Now, by the above nabla integration by parts formulas and the dual identities in Lemma 3.1 adjusted to our definitions and Lemma 3.3, we can obtain delta integration by parts formulas.

As discussed above, the integration of the divalent cations into the polar interface results in higher negative spontaneous curvatures, and finally promotes the formation of non-lamellar phases.