Sentence examples for integral base from inspiring English sources

For example, ncRNAs might preserve some integral base pairs throughout evolution and only these will be detected by a comparative approach, which returns the set of base pairs common to a set of evolutionarily related sequences.

Integral based viscoelastic constitutive models have been proposed by Uesaka et al. [41] and Lif [42].

Then we establish Berwald-type inequalities for the Sugeno integral based on this kind of functions.

Its definition and properties can be found in [15] (see Perron-Stieltjes integral based on the work of Kurzweil).

Agahi et al. [43] also obtained a Berwald-type inequality for a universal integral based on a convex function.

Particularly, for pseudo-multiplication ⊗ = ∧, a Berwald-type inequality for the Sugeno integral based on (( {alpha,m} ))-concave functions is obtained.

Now we present Berwald inequalities for the Sugeno integral based on ({ ( {alpha,m,r} )_{g}} )-concave functions.

Unfortunately, the following example shows that the Berwald inequality for the Sugeno integral based on ({ ( {alpha,m,r} )_{g}} -concave functions is not valid.

In this paper, a Barnes-Godunova-Levin type inequality for the Sugeno integral based on an (( {alpha,m} ))-concave function is proved.

As in the proofs of Theorems 3.1 and 3.3, we can similarly obtain some reverse inequalities for the Sugeno integral based on ({ ( {alpha,m,r} )_{g}} -convex functions.

The purpose of this paper is to prove a Barnes-Godunova-Levin type inequality for the Sugeno integral based on an (( {alpha,m} ))-concave function.