Sentence examples for fractional set from inspiring English sources

The diameter of a non-empty fractional set E, the subset of a fractional set, is given by | E | : = sup { | x − y | α, x α, y α ∈ E }. (8).

To define the space of ultraBoehmians, let (S_{alpha }) and (D_{alpha }) be the fraction spaces of (F_{alpha }) of all members of (S_{beta }^{tilde{beta }} ( R ) ) and (D_{beta }^{ tilde{beta }} ( R ) ), respectively, and, similarly, let (Delta_{alpha }) be the fractional set of (F_{alpha }) of all sequences in (Delta^{alpha }).

However, data points on the right of the diagonal in figures 2D and 2E also show that for a fractional set of target-probe pairs, substitution with MeC and MeU increased hybridization signal relative to the unmodified control.

The studied control scheme is the filtered fractional set-point weighted (FFSW) structure.

We review the fractional measure introduced on fractional sets [9, 10].

For the basic theory of the variational method in a fractional setting, one can see [14].

We now look at some related convexity results in the nabla fractional setting.

The above result was later extended to a fractional setting in [18] and to a multisublinear setting in [33].

Recently, inequalities (1.1) and (1.2) were extended to a fractional setting in [18] and to a multisublinear setting in [19].

Recently, Carneiro and Madrid [18] extended inequality (1.5) to the fractional setting (also see [20, 29 31] for the relevant results).

In light of this, a natural question is whether such a result holds in the discrete fractional setting.