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Commensurability (astronomy), whether two orbital periods are mathematically commensurate. Commensurability (crystal structure), whether periodic material properties repeat over a distance that is mathematically commensurate with the length of the unit cell. Commensurability (economics), whether economic value can always be measured by money
A different but related notion is used for subgroups of a given group. Namely, two subgroups Γ 1 and Γ 2 of a group G are said to be commensurable if the intersection Γ 1 ∩ Γ 2 is of finite index in both Γ 1 and Γ 2.
In mathematics, two non-zero real numbers a and b are said to be commensurable if their ratio a / b is a rational number; otherwise a and b are called incommensurable. (Recall that a rational number is one that is equivalent to the ratio of two integers.)
In 1962, Thomas Kuhn and Paul Feyerabend both independently introduced the idea of incommensurability to the philosophy of science. In both cases, the concept came from mathematics; in its original sense, it is defined as the absence of a common unit of measurement that would allow a direct and exact measurement of two variables, such as the prediction of the diagonal of a square from the ...
Thorngate's postulate of commensurate complexity, [1] also referred to as Thorngate's impostulate of theoretical simplicity [2] is the description of a phenomenon in social science theorizing. Karl E. Weick maintains that research in the field of social psychology can – at any one time – achieve only two of the three meta-theoretical ...
In ethics, two values (or norms, reasons, or goods) are incommensurable (or incommensurate, or incomparable) when they do not share a common standard of measurement or cannot be compared to each other in a certain way.
Commensurate cases [ edit ] If the superspots are located at simple fractions of the vectors of the reciprocal lattice of the substructure, e.g., at q=(½,0,0), the resulting broken symmetry is a multiple of the unit cell along that axis.
A commensurate line circuit is an electrical circuit composed only of commensurate lines terminated with resistors or short- and open-circuits. In 1948, Paul I. Richards published a theory of commensurate line circuits by which a passive lumped element circuit could be transformed into a distributed element circuit with precisely the same ...