Quantity in Mathematics
Being of two types, magnitude and multitude (or number), quantities are further divided as mathematical and physical. In formal terms, quantities (numbers and magnitudes) - their ratios, proportions, order and formal relationships of equality and inequality — are studied by mathematics. The essential part of mathematical quantities is made up with a collection variables, each assuming a set of values and coming as scalar, vectors, or tensors, and functioning as infinitesimal, arguments, independent or dependent variables, or random and stochastic quantities. In mathematics, magnitudes and multitudes are not only two kinds of quantity but also commensurable with each other. The topics of the discrete quantities as numbers, number systems, with their kinds and relations, fall into the number theory. Geometry studies the issues of spatial magnitudes: straight lines (their length, and relationships as parallels, perpendiculars, angles) and curved lines (kinds and number and degree) with their relationships (tangents, secants, and asymptotes). Also it encompasses surfaces and solids, their transformations, measurements, and relationships.
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Famous quotes containing the words quantity in, quantity and/or mathematics:
“Quantity in food is more to be regarded than quality. A full meal is a great enemy both to study and industry.”
—Samuel Richardson (1689–1761)
“... nothing is more human than substituting the quantity of words and actions for their character. But using imprecise words is very similar to using lots of words, for the more imprecise a word is, the greater the area it covers.”
—Robert Musil (1880–1942)
“In mathematics he was greater
Than Tycho Brahe, or Erra Pater:
For he, by geometric scale,
Could take the size of pots of ale;
Resolve, by sines and tangents straight,
If bread and butter wanted weight;
And wisely tell what hour o’ th’ day
The clock doth strike, by algebra.”
—Samuel Butler (1612–1680)