For instance, a shot of 86-proof whiskey contains 105 calories and a shot of 80-proof vodka contains 97.
In a proof about triangles for instance, variation among the configurations in the range of the proof is variation of exact properties e.g., the measure of the triangles' angles, the ratios between their sides.
Moreover, a concrete WSN middleware instance derived from RAMSES was implemented as a proof of concept.
In a proof of principle study, for instance, his lab developed a "nano-plasmonic exosome" (nPLEX) sensor with 1,089 detection sites.
For instance, in the Fifth Meditation, Descartes claims to provide a proof demonstrating the existence of God from the idea of a supremely perfect being.
Otherwise, by a standard approximation procedure, see for instance the proof of [8, Th. 3.42], we may find a sequence of n-symmetric smooth open sets (E_h) converging in measure to E, (|E_h|=|E|) for all h, (P(E_h)rightarrow P(E)), satisfying the assumptions (4.26) with l possibly replaced by 2l.
Development of each of the nineteenth-century systems involved development of an initial workable instance that served as a proof-of-concept.
For instance, the current peak finding algorithm is very basic and was only included as a proof of concept.
The rhetoric and politics surrounding fracking has steadily put the industry on the defensive; Matt Damon is set to star in an anti-fracking movie called The Promised Land, for instance -- proof, if any was needed, that the industry and its supporters are right when they concede they've lost the PR war.
Mathematicians are trained to reject a proof by cases unless the cases exhaust all the possibilities; but typical instances of common sense reasoning neglect some alternatives.
