Such multiply realized determinate properties are indeed exactly similar across distinct realizations, and so answer the dilemma posed by Shapiro and others (discussed extensively in section 2 above).
The Museum of Modern Art's exhibition "Deconstructivist Architecture" (1988) included a number of architects whose angular spatial compositions appear to be tangible realizations of chaos theory, but which are also in many ways reminiscent of Russian Constructivist and German Expressionist architectural forms from the early 1920s.
Among the high vowels, i and u did not participate in ablaut alternations but rather functioned primarily as the syllabic realizations of the consonants y and w, as in *leykw- 'leave,' zero-grade *likw-, parallel to *derḱ- 'see,' zero-grade *dr̥ḱ-.
A necessary and sufficient condition for two realizations to be elementarily equivalent is that they admit ultrapowers that are isomorphic.
Various kinds of interstratal relationships, other than that of one-to-one correspondence may be recognized: diversification, in which one higher unit has alternative realizations; zero realization, in which a higher unit has no overt realization on the lower stratum; neutralization, in which two or more higher units are mapped into the same lower level unit; and so on.
The precise realizations of particular sounds differed from area to area in Old Indo-Aryan and continue to do so in modern pronunciations.
In a move toward realizable technological devices, Alberto Politi and co-workers at the Centre for Quantum Photonics, University of Bristol, Eng., produced high-fidelity silica-on-silicon integrated optical realizations of key quantum-photonic circuits, including a two-photon quantum interference, a controlled-NOT gate, and a path-entangled state of two photons.
Given the extent and variety of actual (not to say possible) physical realizations, it is overwhelmingly likely that the disjunctive component will not be a kind-predicate of any specific physical science.
Recent studies suggest that the methods used to design, maintain and compare realizations have a direct bearing on the practical application of concepts of quantity, unit and scale, no less than the definitions of those concepts (Tal forthcoming-a; Riordan 2014).
The new literature on coordination shifts the emphasis of the discussion from the definitions of quantity-terms to the realizations of those definitions.
Rather, it would have to detect the physical realizations of experiences in the brain, and construct the requisite higher-order representation of the experiences that those physical events realize, on the basis of that physical-information input.
