:Yes, commensurability is an important factor here ( Ultimately all physical quantities are commensurable and that's why Count Iblis said " In the end we have to realize that physics is fundamentally dimensionless " ).
42.
Someone trained to look at music in terms of vertical traditions would not have sought a common denominator here, nor would such a person, at least in 1950, have thought jazz, a largely unwritten music, to be commensurable with the others.
43.
"The large urban hotels are offering New Year's Eve revelers packages that are commensurable with the kind of entertainment that is being offered, " said Jim Gallagher, spokesman for Starwood Hotels and Resorts, which operates the Sheraton and Westin chains.
44.
Physical quantities that are measurable ( commensurable ) have the same dimension ( length, time, mass ) and can be directly compared to each other, even if they are originally expressed in differing units of measure ( inches and meters, pounds and netwons ).
45.
Here the'frequencies'log " n " will not all be commensurable ( they are as linearly independent over the rational numbers as the integers " n " are multiplicatively independent & ndash; which comes down to their prime factorizations ).
46.
Neo-Whorfians argue this to be is a misreading since throughout his work one of his main points was that such systems could be " calibrated " and thereby be made commensurable, but only when we become aware of the differences in conceptual schemes through linguistic analysis.
47.
Since each Real Measure within a series forms such a constant with every other member in that series, " any " individual series in which a particular Real Measure serves as the Unit can be made commensurable with any " other " series with a " different"
48.
Irreducibility only plays a r�le when G has a factor of real rank one ( otherwise the theorem always holds ) and is not simple : it means that for any product decomposition G = G _ 1 \ times G _ 2 the lattice is not commensurable to a product of lattices in each of the factors G _ i.
49.
Overall ready-to-wear fashion exposed women to the newest styles and fashion trends, leading to a substantial increase in profits by US factories from $ 12, 900, 583 in 1876 to $ 1, 604, 500, 957 in 1929 . The ready-to-wear fashion revolution led to an expansion of the US fashion industry that made fashionable apparel accessible, cost effective, and commensurable.
50.
Thus a better notion is to take for definition of an arithmetic subgroup of \ mathrm G ( \ mathbb Q ) any group \ Lambda which is commensurable ( this means that both \ Gamma / ( \ Gamma \ cap \ Lambda ) and \ Lambda / ( \ Gamma \ cap \ Lambda ) are finite sets ) to a group \ Gamma defined as above ( with respect to any embedding into \ mathrm { GL } _ n ).
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