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Conversion of units is the conversion of the unit of measurement in which a quantity is expressed, typically through a multiplicative conversion factor that changes the unit without changing the quantity. This is also often loosely taken to include replacement of a quantity with a corresponding quantity that describes the same physical property.
So the counting measure has only one null set, which is the empty set. That is, N μ = { ∅ } . {\displaystyle {\mathcal {N}}_{\mu }=\{\varnothing \}.} So by the second definition, any other measure ν {\displaystyle \nu } is equivalent to the counting measure if and only if it also has just the empty set as the only ν {\displaystyle \nu ...
Typically, such units (or indices) take another latent variable into account, for increased measurement invariance, e.g., apparent temperature, or they are more convenient in a particular context. See also: measurement equivalence , Equivalence (measure theory) , and List of unusual units of measurement
The subdivisions of the bushel were maintained. As with US dry measures, the imperial system divides the bushel into 4 pecks, 8 gallons, 32 quarts or 64 pints. Thus, all of these imperial measures are about 3% larger than are their US dry-measure counterparts. Fluid measure is not as straightforward.
Two metrics and on X are strongly or bilipschitz equivalent or uniformly equivalent if and only if there exist positive constants and such that, for every ,, (,) (,) (,).In contrast to the sufficient condition for topological equivalence listed above, strong equivalence requires that there is a single set of constants that holds for every pair of points in , rather than potentially different ...
A kilogram mass and three metric measuring devices: ... a derived unit for catalytic activity equivalent to one mole per second (1 mol/s), was added in 1999. [6]
The former Weights and Measures office in Seven Sisters, London (590 Seven Sisters Road). The imperial system of units, imperial system or imperial units (also known as British Imperial [1] or Exchequer Standards of 1826) is the system of units first defined in the British Weights and Measures Act 1824 and continued to be developed through a series of Weights and Measures Acts and amendments.
At the close of the 19th century three different systems of units of measure existed for electrical measurements: a CGS-based system for electrostatic units, also known as the Gaussian or ESU system, a CGS-based system for electromechanical units (EMU), and an International system based on units defined by the Metre Convention [33] for ...
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