the nearby lattice point problem
list of lists of real numbers (the basis of the lattice)
list of real numbers (a given point)
Important: The numtheory package has been deprecated. Use the superseding command NumberTheory[NearestLatticePoint] instead.
In the lattice given by the basis B, the nearestp command returns a vector w that is near the vector alpha. The vector w will be a nearest vector to alpha in the lattice in the following sense:
There is a constant K depending only on n, the dimension of the lattice, such that for every other vector u in the lattice given by B,
|w - alpha| <= C_n |u - alpha|.
The output of the nearestp command is of the form:
which is a list of integers such that
The command with(numtheory,nearestp) allows the use of the abbreviated form of this command.
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