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Encyclopedia > Half

One half is the fraction resulting from dividing one by two (½), or any number by its double; multiplication by one half is equivalent to division by two. It is the fraction occurring most often in mathematical equations, recipes, measurements, etc. A prefix indicating this fraction is semi- from Latin.

½
Binary 0.1 or
00111111000000000000000000000000
in single-precision floating point
Decimal 0.5
Hexadecimal 0.8, or 3F000000
in single-precision floating point
Continued fraction [0; 1, 1] or [0; 2]

For instance, the area S of a triangle is computed

S = ½ × base × altitude

One half also figures in the formula for calculating figurate numbers, such as triangular numbers and pentagonal numbers:

½ × n ( ( s - 2 ) n - ( 4 - s ) )

and in the formula for computing magic constants for magic squares

M2(n) = ½ × ( n ( n2 + 1 ) )

One half is also:

  • One of the few fractions to get a key of its own on typewriters. It also gets its own point in some early extensions of ASCII at 189; and in Unicode, it gets its own code point at 189 in the C1 Controls and Latin-1 Supplement block, and a cross-reference in the Number Forms block, which contains some other fractions.
  • One of the few fractions which is commonly expressed in natural languages by suppletion rather than regular derivation; compare English one half with regular formations like one sixth from six.

See also


  Results from FactBites:
 
One half - Wikipedia, the free encyclopedia (276 words)
One half is the irreducible fraction resulting from dividing one by two (½), or any number by its double; multiplication by one half is equivalent to division by two.
One half has two different decimal expansions, the familiar 0.5 and the recurring 0.49999999...
One of the few fractions which is commonly expressed in natural languages by suppletion rather than regular derivation; compare English one half with regular formations like one sixth from six.
One Half (1014 words)
One Half is a multi-partite, memory resident encrypting virus.
Because of the changes One Half makes on the machine, the original boot sector may be altered and the partition table may be damaged.
The One Half, or One Half.3544, virus was isolated in October, 1994, in Austria.
  More results at FactBites »


 

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