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For example, 10 miles per hour can be converted to metres per second by using a sequence of conversion factors as shown below: = . Each conversion factor is chosen based on the relationship between one of the original units and one of the desired units (or some intermediary unit), before being rearranged to create a factor that cancels out the ...
The basic unit of length in the imperial and U.S. customary systems is the yard, defined as exactly 0.9144 m by international treaty in 1959. [ 2 ] [ 10 ] Common imperial units and U.S. customary units of length include: [ 11 ]
Volume may be measured either in terms of units of cubic length or with specific volume units. The units of cubic length (the cubic inch, cubic foot, cubic mile, etc.) are the same in the imperial and US customary systems, but they differ in their specific units of volume (the bushel, gallon, fluid ounce, etc.). The US customary system has one ...
In antiquity, systems of measurement were defined locally: the different units might be defined independently according to the length of a king's thumb or the size of his foot, the length of stride, the length of arm, or maybe the weight of water in a keg of specific size, perhaps itself defined in hands and knuckles. The unifying ...
A football field is often used as a comparative measurement of length when talking about distances that may be hard to comprehend when stated in terms of standard units. An American football field is usually understood to be 100 yards (91 m) long, though it is technically 120 yards (110 m) when including the two 10 yd (9.1 m) long end zones ...
The MLD of household income has been defined as [1] = = ¯ where N is the number of households, is the income of household i, and ¯ is the mean of .Naturally the same formula can be used for positive variables other than income and for units of observation other than households.
A blue whale has been measured as 33 m (108 ft) long; this drawing compares its length to that of a human diver and a dolphin. The decametre (SI symbol: dam) is a unit of length in the metric system equal to 10 meters (10 1 m). To help compare different orders of magnitude, this section lists lengths between 10 and 100 meters.
For (,) a measurable space, a sequence μ n is said to converge setwise to a limit μ if = ()for every set .. Typical arrow notations are and .. For example, as a consequence of the Riemann–Lebesgue lemma, the sequence μ n of measures on the interval [−1, 1] given by μ n (dx) = (1 + sin(nx))dx converges setwise to Lebesgue measure, but it does not converge in total variation.