The NearestLatticePoint function returns a $w$ such that there exists a constant $C$ that depends only on the dimension of the lattice with basis B such that for every point $u$ in the lattice with basis B we have

If B is a list of lists, then each inner list is interpreted as a basis vector.

If B is a Matrix, then each row is interpreted as a basis vector.

$\mathrm{with}\left(\mathrm{NumberTheory}\right)\:$

$B≔\left[\left[2^{\frac{1}{3}}\,0\,0\right]\,\left[\exp \left(2\right)\,1\,0\right]\,\left[0\,\mathrm{\pi }\cdot 100\,1\right]\right]\:$

$v≔\left[7.01\,8.01\,\mathrm{\gamma }\right]\:$

$\mathrm{NearestLatticePoint}\left(B\,v\right)$

$\left[\mathrm{-36}\,7\,0\right]$

$B≔\mathrm{Matrix}\left(\left[\left[-\frac{127230625}{746351104}\,1\,0\right]\,\left[\frac{90325}{71691}\,0\,0\right]\,\left[-\frac{726529225}{1119526656}\,\frac{477}{2995}\,1\right]\right]\right)\:$

$v≔\mathrm{Vector}\left(\left[71.01\,18.01\,{\mathrm{\pi }}^4\right]\right)\:$

$\mathrm{NearestLatticePoint}\left(B\,v\right)$

$\left[2\,107\,97\right]$

The NumberTheory[NearestLatticePoint] command was introduced in Maple 2016.

For more information on Maple 2016 changes, see Updates in Maple 2016.