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The foot (standard symbol: ft) [1] [2] is a unit of length in the British imperial and United States customary systems of measurement.The prime symbol, ′, is commonly used to represent the foot. [3]
A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula. As formulas are entirely constituted with symbols of various types, many symbols are needed for ...
historical definitions of the units and their derivatives used in old measurements; e.g., international foot vs. US survey foot. For some purposes, conversions from one system of units to another are needed to be exact, without increasing or decreasing the precision of the expressed quantity.
Smoothness is a concept which mathematics has endowed with many meanings, from simple differentiability to infinite differentiability to analyticity, and still others which are more complicated. Each such usage attempts to invoke the physically intuitive notion of smoothness.
The National Institute of Standards and Technology formerly contended that customary area units are defined in terms of the square survey foot, not the square international foot, [17] but from 2023 it states that "although historically defined using the U.S. survey foot, the statute mile can be defined using either definition of the foot, as is ...
In some kinds of metre, such as the Greek iambic trimeter, two feet are combined into a larger unit called a metron (pl. metra) or dipody. The foot is a purely metrical unit; there is no inherent relation to a word or phrase as a unit of meaning or syntax, though the interplay between these is an aspect of the poet's skill and artistry.
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The following table lists many specialized symbols commonly used in modern mathematics, ordered by their introduction date. The table can also be ordered alphabetically by clicking on the relevant header title.