Sentence examples for last representations from inspiring English sources

Exact(1)

Substituting the last representations into (3.37), we complete the proof of (3.36).

Similar(56)

This last representation is used to generate the FV locking/unlocking points.

The last representation also implies that (I t,x)) is an even function in x.

More specifically, the last representation is a { 0, 1 } -program, which has n ( n − 1 ) / 2 binary variables and n ( n − 1 ) ( n − 2 ) / 3 inequality constraints.

For the last representation of the revised pattern language, the final graphical overview was combined with corresponding tabulations of the textual design patterns.

From the graphical standpoint the better of the last two representations is without doubt that in Figure 6, corresponding to the representation [D].

Although in this last episode representations of a, b and c are experienced together with d, these tone-phases are not experienced as simultaneous – i.e., as a chord – rather, they are experienced as a succession.

These last graphical representations were also used to estimate the value of each sample's RNA on the RNA quality scale proposed by Copois and colleagues [89].

"Following last-minute representations from the provider, we have agreed to give due consideration to two issues they raise before the report is published," it said.

The last of these representations can also be expressed in terms of the parent qf Q G (u)=G −1 u) as begin{array}rcl@ E left[ log g (X) right] = sum_{k=0}^{infty} (k+1) v_{k} {int_{0}^{1}} logleft{gleft[Q_{G} u right]right},u^{k},du, end{array}.

See research article: http://www.biomedcentral.com/1471-2105/11/582/abstract/ Ever since the rise of systems biology at the end of the last century, mathematical representations of biological systems and their activities have flourished.

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