Sentence examples for functions I from inspiring English sources

Exact(58)

Theorem 3.1 Let K ⊂ X be a convex set, f i : K → R be s-convex functions, i = 1, 2, …, n.

The PLGA core allows hydrophobic drugs to be loaded and is encapsulated in a chitosan shell that offers two functions: (i) dispersion of PLGA in an aqueous solution and (ii) modulation of in vitro drug release.

The design study is based on three objective functions: (i) minimizing the maximum temperature in the thermally loaded fin, (ii) optimizing the flow efficiency of the embedded microchannel, and (iii) minimizing the void volume fraction of the microvascular material.

Second, the optimization problem for process upgrade is formulated and solved for two different objective functions: i) maximization of operating profit (the techno-economic criterion); and ii) minimization of the sustainability single index ratio (the sustainability criterion).

This web page performs four functions (i) uploading a new building, (ii) downloading a partial model, (iii) uploading a partial model, and (iv) querying the Social BIMCloud using the CQL language provided by Cassandra.

In (1.10 - 1.12), suppose that (g_{i}:Omegatimes mathbb{R}^{N+1} rightarrowmathbb{R}) are given functions ((i = 1,2)) satisfying the following conditions, which can be found in [8, 16]: (a) Carathéodory's conditions.

Learning from multiple representations is characterized by means of three key functions: (i) to provide complementary information and processes, (ii) to constrain interpretations, and (iii) to construct a deeper domain understanding (Ainsworth 1999).

Thus, in one protein we describe three distinct functions: (i) a fibronectin adhesin; (ii) a DNA adhesin and (iii) a role in natural transformation.

Serine protease inhibitors in the plasma have been known to perform dual functions: (i) regulation of the activity of endogenous serine proteases and (ii) inhibition of microbial serine proteases as a host immune defense against invading pathogens [11].

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Similar(2)

The first contains enzymes whose involvement in the synthesis of furanocoumarins was already demonstrated (I-4 and I-3), and the second containing enzymes of unknown functions (I-2).

Theorem 3.4 Assume the sequence of vector-valued functions { I i } i ∈ Z is pseudo almost periodic, i.e., for any x ∈ Ω, { I i ( x ), i ∈ Z } is a pseudo almost periodic sequence.

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