Sentence examples for Is a functional of from inspiring English sources

By Lemma 2.2, I is a functional of class (C^{1}).

The control function is a functional of a previous phase state.

(P[x t) | y,t_{0}]) is a functional of the function (x t)) conditioned on two scalars y and (t_{0}).

According to this definition, we know that γ-variance Var γ ( f, p ) is a functional of the function f : Ω → ( 0, ∞ ) and p : Ω → ( 0, ∞ ), and such a definition is compatible with the generalized integral means studied elsewhere (see, e.g., [1 6]).

If the internal porous structure of the material is modeled as myriad nonintersecting cylindrical pores, an equation may be derived for the flux as a function of pressure, in which the flux is a functional of the pore-size distribution.

The third contribution is a functional of the deformation history and a further internal variable; it describes the creation of a new network which remains free of stress when the deformation is constant in time.

Therefore, given that (i) CaNDR1a is a functional homolog of the Arabidopsis NDR1 gene, and (ii) transcripts of the former accumulate in coffee leaves undergoing HR in response to the fungus H. vastatrix [ 16, 19], it would not be surprising if NDR1 proteins could regulate the defense signaling pathway(s) leading to coffee rust resistance.

Since there are abundant data on the lung draining lymph nodes it is important to clarify the following open questions in the near future: Is there a functional integration of the lung draining lymph nodes in the general immune system and how is a potential crosstalk regulated?

Is it a functional form of depression?

Is a substantial fraction of noncoding DNA functional, or is most of it simply "junk" or "parasitic"?

Additional file 4: Is a figure representing functional annotation of 44 fungal Dnmt1 proteins and phylogenetic analysis of the cytosine-specific methyltransferase domain.