Sentence examples for enclosed solution from inspiring English sources

That means species may not only be characterized by names and their attributes, but also by a potentially enclosed solution of further species.

Also different from the previous examples, the inter-level causation here acts across the boundaries of a nested species, i.e. across the cell membrane, and not just between an attributed species and its enclosed solution: In fact the above rule includes two different downward causalities at the same time.

In the textual syntax, attributes and the enclosed solution are embraced by different kinds of brackets, i.e. A(0)[ S A ] denotes the existence of an attribute 0 for the above nested species A. The graphical syntax is straightforward: The ability to assign attributes to nested species allows to equip each hierarchical level with an own state that is not only determined by the enclosed species.

Hence, to enclose solutions for (4.5), we use the following theorem proposed by [5].

It is the aim of this paper to attempt a numerical technique to verify the solutions for elliptic equations of the second order with boundary conditions in the form of inequalities, that is, we construct a computing algorithm which automatically encloses the solution with guaranteed error bounds.

As we know, there are great differences between second-order and fourth-order BVPs; for example, for second-order BVPs, the existence of a well-ordered pair of lower and upper solutions is sufficient to ensure the existence of a solution enclosed by them; see [22].

The FTIR spectra of Pokhrel et al. of the hydrated film of D2-K317R were very similar to our solution spectra of the same mutant, probably because of a higher extent of hydration, which is determined by the ratio of a glycerol/water solution enclosed in the sample cell [20% (v/v) glycerol/water in the work of Pokhrel et al. vs 40% in our experiment].

The contribution of the paper is to provide a reliable framework to enclose the solutions of these differential equations.

If the unconstrained design does not satisfy the inequality constraints on robust stability, a constrained optimal design is sought and several robustness diagrams are established to enclose optimal solutions of filter parameters subject to specified gain margins.

The number of rules needed may be also reduced by applying rules to multiple solutions, so that reactants can be matched at different levels and within solutions enclosed by different species types.

Species A consists of a sub-solution S A = [C + 2 D[ S D ]], i.e. a single atomic species C and a nested species of type D[ S D ] with an amount of two and a sub-solution S D = [ E]. Equally to SD, the sub-solution enclosed by B consists also of species with name E, but here with an amount of three: S B = [3 E].