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For example, the aspect ratio of a rectangle is the ratio of its longer side to its shorter side—the ratio of width to height, [1] [2] when the rectangle is oriented as a "landscape". The aspect ratio is most often expressed as two integer numbers separated by a colon (x:y), less commonly as a simple or decimal fraction .
The size and proportions of a book depend on the size of the original full sheet. If a sheet 480 by 640 mm (19 by 25 in) is used to print a quarto, the resulting untrimmed pages, will be approximately half as large in each dimension: width 240 mm (9 + 1 ⁄ 2 in) and height 320 mm (12 + 1 ⁄ 2 in).
Three-dimensional space is the simplest possible abstraction of the observation that one needs only three numbers, called dimensions, to describe the sizes or locations of objects in the everyday world. For example, the volume of a rectangular box is found by measuring and multiplying its length, width, and height (often labeled x, y, and z).
Size in general is the magnitude or dimensions of a thing. More specifically, geometrical size (or spatial size) can refer to three geometrical measures: length, area, or volume. Length can be generalized to other linear dimensions (width, height, diameter, perimeter). Size can also be measured in terms of mass, especially when assuming a ...
Width and breadth usually refer to a shorter dimension than length. Depth is used for the measure of a third dimension. [2] Length is the measure of one spatial dimension, whereas area is a measure of two dimensions (length squared) and volume is a measure of three dimensions (length cubed).
It is a transitional size with the shorter side of ISO A4 (210 mm, 8 + 1 ⁄ 4 inch) and the longer side of British Foolscap (13-inch (330 mm). ISO A4 is exactly 90% the height of F4. This size is sometimes also known as (metric) 'foolscap' or 'folio'. In some countries, the narrow side of F4 is slightly broader: 8.5 inches (216 mm) or 215 mm.
A0 has a surface area of 1 square metre (11 sq ft) up to a rounding error, with a width of 841 millimetres (33.1 in) and height of 1,189 millimetres (46.8 in), so an actual area of 0.999949 square metres (10.76336 sq ft); A4 is recommended as standard paper size for business, administrative and government correspondence; and A6 for postcards ...
The Krull dimension of a commutative ring is the maximal length of chains of prime ideals in it, a chain of length n being a sequence of prime ideals related by inclusion. It is strongly related to the dimension of an algebraic variety, because of the natural correspondence between sub-varieties and prime ideals of the ring of the polynomials ...