Sentence examples for a third variation of from inspiring English sources

However, a third variation of the basic model is the presence of an oligomeric intermediate (Eq. 5).

On the basis of our inference in this study, we suggest a third variation of acetabular ossification in DDH that is not visible in childhood but is manifest in adolescence as an upward tilt of the outer portion of the acetabular rim.

IF PALLETT AND CLARK ACHIEVE POP liberation through technology, "chops" and a flair for performance, a third variation on the theme of musical self-sufficiency is presented by the curious case of Noah Lennox.

A first variation of the discrete model we discussed in Sect.

The quadratic functional (2) defined over various classes of admissible functions is studied extensively in the literature because of the connection with the second variation: (2) is a second variation of the functional K ( x 0, x N + 1 ) + ∑ k = 0 N g ( k, x k + 1, Δ x k ), see [4] for details.

Or more accurately, a third variation is winning — a combination of the two.

A third variation was written during the night of 21 February 1818.

A positive definite second variation of the total energy is used as a sufficient criterion for stability of equilibrium configurations.

end{aligned}It is clear that the first variation of a functional is a crucial tool to write optimality conditions for variational problems involving such a functional.

It contains a recording of the fifth variation of the third movement from Beethoven's String Quartet Op.18 N.5, performed by a woodwind quintet.

We have proved that in the former case, subject to a smallness condition, the second variation of the energy is strictly positive at these whirling solutions and hence that the latter solutions are stable.