H. Jefferson Powell, a modern jurist, identifies three persistent themes of Democratic-Republican constitutionalism which emerged from the Resolutions and the Report: (1) a textual approach to the Constitution, (2) the compact theory, and (3) that caution, not trust, should characterize our approach to those who hold political power.
A central tenet of what is known in Puerto Rico as the "compact theory" holds that the compact created pursuant to Public Law 600 is emphatically not a treaty, precisely because of what Blocher and Gulati themselves explain about treaties: ordinarily, sovereigns retain the right to withdraw from them and even, under certain circumstances, to expel other parties.
This doctrine is known as the compact theory.
In defense of Virginia Democratic-Republicans and the Resolutions, Madison emphasized that even if one disagreed with the compact theory, the Virginia Resolutions and the Report of 1800 themselves were simply protests, which states were surely entitled to produce.
For a compact linear operator, spectral theory can be treated fairly completely in the sense that Fredholm's famous theory of linear integral equations may be extended to linear functional equations (Tx-lambda x=y) with a complex parameter λ.
In string theory a compact space of six or more dimensions is associated with each point in traditional four-dimensional space-time.
A compact overview of blending theory and its background in classical rhetoric is Turner (1998); a more detailed and comprehensive presentation is Fauconnier and Turner (2002).
In all other cases, the will is free, and when one wills, one does so freely.[33] Arnauld provides a compact formula for this theory: "The best and shortest notion one can have of free will is to say with St. Thomas that it is potestas ou facultas ad opposita" (Letter to Bossuet, juillet 1693, OA, 3 662).[34] Arnauld claims a number of advantages for his theory of free will over that of Jansen.
We consider the problem of construction of optimal experimental designs (approximate theory) on a compact subset X of Rd with nonempty interior, for a concave and Lipschitz differentiable design criterion ϕ based on the information matrix.
A dispersed and sparse co-occurrence matrix corresponds to a rich image (with greater detail) in the sense of information theory, whereas a compact co-occurrence matrix (where values are concentrated around the diagonal) reveals an image with less detail.
He ridicules elaborate swing theories, instead teaching a compact motion that can be repeated almost reflexively.
