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1 (number)
Totally Explained
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Everything about 1 Number totally explained
1 ( one) is a number, numeral, and the name of the glyph representing that number.
It represents a single entity. One is sometimes referred to as unity or unit as an adjective. For example, a line segment of "unit length" is a line segment of length 1.
In mathematics, it may represent:
Mathematics
For any number x:
» x·1 = 1· x = x (1 is the multiplicative identity)
» x/1 = x (see division)
» x1 = x, 1 x = 1, and for nonzero x, x0 = 1 (see exponentiation)
Using ordinary addition, we've 1 + 1 = 2.
One can't be used as the base of a positional numeral system; sometimes tallying is referred to as "base 1", since only one mark (the tally) is needed, but this isn't a positional notation.
The logarithms base 1 is undefined, since 1 x=1 and so has no unique inverse function.
In the real number system, 1 can be represented in two ways as a recurring decimal: as 1.000... and as 0.999... ( q.v.).
In the Von Neumann representation of natural numbers, 1 is defined as the set
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Evolution of the glyph
The glyph used today in the Western world to represent the number 1, a vertical line, often with a serif at the top and sometimes a short horizontal line at the bottom, traces its roots back to the Indians, who wrote 1 as a horizontal line (in Chinese today this is the way it's written). The Gupta wrote it as a curved line, and the Nagari sometimes added a small circle on the left (rotated a quarter turn to the right, this 9-look-alike became the present day numeral 1 in the Gujarati and Punjabi scripts). The Nepali also rotated it to the right, but kept the circle small. This eventually became the top serif in the modern numeral, but the occasional short horizontal line at the bottom probably originates from similarity with the Roman numeral I. In some European countries (for example, Germany) the little serif at the top is sometimes extended into a long upstroke, sometimes as long as the vertical line, which can lead to confusion with the glyph for seven in other countries. Where the 1 is written with a long upstroke, the number 7 has a horizontal stroke through the vertical line.
While the shape of the 1 character has an ascender in most modern typefaces, in typefaces with text figures the character usually is of x-height, as, for example, in .
Further Information
Get more info on '1 Number'.
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