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' One line of the Parisian measure ']; Stearns gives its length as 2.25 mm (0.089 in). Even after metrication , British botanists continued to employ tools with gradations marked as linea (lines); the British line is approximately 2.1 mm (0.083 in) and the Paris line approximately 2.3 mm (0.091 in).
In Louisiana, parcels of land known as arpent sections or French arpent land grants also pre-date the Public Land Survey System (PLSS), but are treated as PLSS sections. An arpent can mean a linear measurement of approximately 192 feet (59 m) or an area measurement of about 0.84 acres (3,400 m 2).
In general, any measurable function can be pushed forward. The push-forward then becomes a linear operator, known as the transfer operator or Frobenius–Perron operator.In finite spaces this operator typically satisfies the requirements of the Frobenius–Perron theorem, and the maximal eigenvalue of the operator corresponds to the invariant measure.
The length of the line on the linear scale is equal to the distance represented on the earth multiplied by the map or chart's scale. In most projections, scale varies with latitude, so on small scale maps, covering large areas and a wide range of latitudes, the linear scale must show the scale for the range of latitudes covered by the map. One ...
The chain is the unit of linear measurement for the survey of the public lands as prescribed by law. All returns of measurement in the rectangular system are made in the true horizontal distance in links, chains, and miles. The only exceptions to this rule are special requirements for measurement in feet in mineral surveys and townsite surveys ...
What follows are two results which will imply that an extended signed measure is the difference of two non-negative measures, and a finite signed measure is the difference of two finite non-negative measures. The Hahn decomposition theorem states that given a signed measure μ, there exist two measurable sets P and N such that: P∪N = X and P ...
A unit of measurement that applies to money is called a unit of account in economics and unit of measure in accounting. [5] This is normally a currency issued by a country or a fraction thereof; for instance, the US dollar and US cent (1 ⁄ 100 of a dollar), or the euro and euro cent.
The model shown is bidirectional, some types may have to be switched via a side lever to be able to measure in the opposite direction. These indicators actually measure angular displacement and not linear displacement; linear distance is correlated to the angular displacement based on the correlating variables.