One half

 ( Half ) 

One half is the multiplicative inverse of 2. It is an irreducible fraction with a numerator of 1 and a denominator of 2. It often appears in mathematical equations, and .

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As a word One half is one of the few fractions which are commonly expressed in natural by suppletion rather than regular derivation. In English language, for example, compare the compound word "one half" with other regular formations like "one-sixth".

A half can also be said to be one part of something divided into two equal parts. It is acceptable to write one half as a Hyphen word, one-half.

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Mathematics One half is the rational number that lies midway between 0 and 1 on the number line. Multiplication by one half is equivalent to division by two, or "halving"; conversely, division by one half is equivalent to multiplication by two, or "doubling".

A number raised to the Exponentiation of one half is equal to its square root. This follows from the fact that when multiplying powers, the exponents add. So, $a^\{1/2\}$ times itself is $a^\{1/2\; +\; 1/2\}$ which is $a^1$, which equals $a$.

The area of a triangle is one half its base and its height, also known as its altitude.

of the modular j-invariant in the upper half-plane (shaded gray), with modular discriminant $|\backslash tau|\; \backslash ge\; 1$ and , where ]]

The gamma function evaluated at one half is the square root of pi.

It has two different decimal representations in base ten, the familiar $0.5$ and the recurring $0.4\backslash overline\{9\}$, with a similar pair of expansions in any even base; while in odd bases, one half has no terminating representation.

The Bernoulli number $B\_\{1\}$ has the value $\backslash pm\; \backslash tfrac\; \{1\}\{2\}$ (its sign depending on competing conventions).

George Arfken (1970). 9780120598519, Academic Press. ISBN 9780120598519

The Riemann hypothesis is the conjecture that every nontrivial complex number of the Riemann zeta function has a real part equal to $\backslash tfrac\; \{1\}\{2\}$.

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Computer characters The "one-half" symbol has its own code point as a precomposed character in the Latin-1 Supplement block of Unicode, rendering as .

The reduced size of this symbol may make it illegible to readers with relatively mild visual impairment; consequently the decomposed forms or may be more appropriate.

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See also

• Division by two

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