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The process of finding a reduced set of basis vectors for a given Lattice having certain special properties.
Lattice reduction is implemented in Mathematica
(Wolfram Research, Champaign, IL) using the function
LatticeReduce. Lattice reduction algorithms are used in a number of modern number theoretical applications,
including in the discovery of a Spigot Algorithm for Pi.
See also Integer Relation, PSLQ Algorithm