Definitions
from Wiktionary, Creative Commons Attribution/ShareAlike License
 adj. Of, pertaining to, or caused by variation
from The Century Dictionary and Cyclopedia
 Of or pertaining to variation, especially in its biological senses: as, a variational fact or doctrine; variational characters: in the latter instance, synonymous with varietal. Encyc.
Etymologies
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Examples

This information measure, herein dubbed the variational information, meaningfully assigns a numerical bitvalue to arbitrary state transitions of physical systems.
Dembski may look like a fakescientist, he may act like a fake scientist,

"Anytime you see some kind of variational depth in a rock like this, you interpret it to mean there is some kind of chemical alteration that has taken place since the rock was first exposed on the surface," Squyres explained.

I suspect there is some extremal principle here, where the tuning is some variational principle on a partition function which results in a greatest upper bound on the measure of complexity which can exist in a local region.
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Calculating integrals and minimizing functions for manyparameter variational wave functions of semiconductor nanostructures in very high magnetic fields was much more on my mind.

Neither would they seem necessarily to be only convenient mathematical fictions, as, for example, are the physically impossible dynamical evolutions of a system one integrates over in the variational derivation of the EulerLagrange equations, for, as we have remarked, many physicists and philosophers seem eager to find such a construction for the purpose of bestowing substantive and clear ontic status on singular structure.

Of particular importance here is the application of the variational principle to the QM of such systems.
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Each form is reachable by small, selectable variational steps from simpler forms.
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Rather, they suggest that the prevariationists held two variational beliefs that the transformationists did not: (1) that organisms inherit the traits of their parents regardless of their adaptive value and (2) that differential survival is relevant to species adaptation.

Now evidently Dembski has read Cosma Shalizi's critique of an earlier version of this paper here, but for the life of me, other than admitting Shalizi is right that Dembski's "variational information" really is a special case of the more general Rényi information, I can't find anything "revised" in this paper.
Dembski may look like a fakescientist, he may act like a fake scientist,

Wavefunctions for these excitations were proposed and their computed variational energies found to match the experimental activation energy for the parallel conductance in the plateau regions.
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