# normalize

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## normalize

[′nȯr·mə‚līz]
(computer science)
To adjust the representation of a quantity so that this representation lies within a prescribed range.
In particular, to adjust the exponent and mantissa of a floating point number so that the mantissa falls within a prescribed range.
(mathematics)
To multiply a quantity by a suitable constant or scalar so that it then has norm one; that is, its norm is then equal to one.
(metallurgy)
To heat a ferrous alloy to some temperature above the transformation range, followed by air cooling.
(quantum mechanics)
To multiply a wave function by a constant so that its norm is equal to unity.
(statistics)
To carry out a normal transformation on a variate.
References in periodicals archive ?
In 1992, Bi (BI, 1992) showed that [L.sub.2] ([p.sup.k]) can be characterized only by the order of normalizer of its Sylow subgroups.
The normalizer of a Sylow r-subgroup is the set of upper triangular matrices with determinant 1, so the order of the normalizer is r (r - 1).
Characterization of 2Dn(pk) by order of normalizer of Sylow subgroups.
In the following, we discuss some polynomial-time tools for finding centralizers and special instances of normalizers in Sym([OMEGA]).
3.7 Normalizers of characteristically simple groups
In this subsection, we will develop polynomial-time tools for finding normalizers of direct products of isomorphic simple groups.
For finding normalizers of direct products of isomorphic nonabelian simple groups, we first consider the following technical problem.
Let H < K < G be a triple of groups such that K = [N.sub.G](H) is the normalizer of H in G.
We present first a condition which implies that K is the normalizer of H in G.
Then u := 2e - 1 is a unitary element of L(H)' [intersection] L(G) hence it belongs to the normalizer [N.sub.L(G)](L(H)), but u [not member of] L(K).

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