Sentence examples for derived sets from inspiring English sources

Next, the derived sets of ODEs are solved analytically by the application of state-space method.

The approach reached good results considering two objectives: the size and mutation score of the derived sets.

Cantor's derived sets are of particular interest (for the context of this idea in real analysis, see e.g. Dauben 1979, Hallett 1984, Lavine 1994, Kanamori 1996, Ferreirós 1999).

Thus one can iterate the operation and obtain further derived sets P″, P″′… P(n) … It is easy to give examples of a set P that will give rise to non-empty derived sets P(n) for all finite n. (A rather trivial example is P = Q[0,1], the set of rational numbers in the unit interval; in this case P′ = [0,1] = P″.) Thus one can define P as the intersection of all P(n) for finite n.

A summary of the methodology upon which J and crack extension are derived sets the necessary framework to determine crack resistance data from the measured load vs. displacement curves.

Comparing the experimentally and evolutionary derived sets of interactions, we observe a very small but statistically significant overlap of links (Fig. 1d).

For this he employs the concept of derivative or derived set of a point set introduced in a paper of 1872 on trigonometric series.

In another study, 11 the performance of the derived set of 'any two of seven signs' (derivation set) was tested on a second 'postintervention' dataset (confirmatory set).

Iterative numerical procedures have been developed to find the solution of the derived set of equations.

A point set P is closed iff its derived set P′ ⊆ P, and perfect iff P = P′.

As far as two truncated sets of equations are concerned, the variationally derived set appears to be preferable.