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Dimensionless quantities, or quantities of dimension one, [2] are quantities implicitly defined in a manner that prevents their aggregation into units of measurement. [3] [4] Typically expressed as ratios that align with another system, these quantities do not necessitate explicitly defined units.
Some words that have a precise numerical definition can be used indefinitely. For example: couple (2), [21] dozen (12), score (20); myriad (10,000). When a quantity word is prefixed with an indefinite article then it is sometimes intended or interpreted to be indefinite. For example, "one million" is clearly definite, but "a million" could be ...
The English language has a number of words that denote specific or approximate quantities that are themselves not numbers. [1] Along with numerals, and special-purpose words like some, any, much, more, every, and all, they are quantifiers. Quantifiers are a kind of determiner and occur in many constructions with other determiners, like articles ...
In metrology (International System of Quantities and the International System of Units), "quotient" refers to the general case with respect to the units of measurement of physical quantities. [3] [4] [5] Ratios is the special case for dimensionless quotients of two quantities of the same kind.
Oxford English Dictionary, 1933. The study of the measurement, properties, and relationships of quantities and sets, using numbers and symbols. [17] American Heritage Dictionary, 2000. The science of structure, order, and relation that has evolved from elemental practices of counting, measuring, and describing the shapes of objects. [18]
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A systems of quantities relates physical quantities, and due to this dependence, a limited number of quantities can serve as a basis in terms of which the dimensions of all the remaining quantities of the system can be defined. A set of mutually independent quantities may be chosen by convention to act as such a set, and are called base quantities.