Now we prove that, in accordance with last relation, the function constitutes the limiting value of an analytic function in Re .
As can be seen, the convolution integral in (1.3) is the Riemann-Liouville fractional integral, and the function constitutes a nonlocal condition.
While this cost function constitutes an approximation of the full expression, it has the advantage of being analytically tractable (see below), and of capturing the essential nonlinearities in E and E ˙.
Such a notion of function constitutes, with respect to our purpose, a crucial generalization of that concept.
The social impact function constitutes the theoretical basis for our agent-based model and its multiplicative effects.
Do young children who seek the conceptual kind of an artifact weigh the plausibility that a current function constitutes the function intended by the object designer?
The resulting upper atmospheric flux function constitutes the direct interface to research groups working on paleonucleotide production and ozone depletion (e.g. Quack et al., 2001; Sinnhuber et al., 2003; Winkler et al., 2008).
The set of samples u(i), used to position the positive defined function, constitutes the dictionary of centers (mathcal {C}(n) = {boldsymbol {u}(i)}_{i=1}^{n}), which grows linearly with the input samples.
In that endeavor, identification of the critical residues for protein function constitutes a central area of research [3], [4], [5].
