Of course the same questions can be asked for any lattice dimension.
2.
At 141 �C, the CsHSO 4 crystal structure experiences a structural change from monoclinic phase II to a lattice dimensions.
3.
The lattice dimension of any graph, and a lattice embedding of minimum dimension, may be found in polynomial time by an algorithm based on maximum matching in an auxiliary graph.
4.
Some well-studied universality classes are the ones containing the Ising model or the percolation theory at their respective phase transition points; these are both families of classes, one for each lattice dimension.
5.
The lattice dimension may be significantly smaller than the isometric dimension; for instance, for a tree it is half the number of leaves in the tree ( rounded up to the nearest integer ).
6.
Every hypercube and therefore every partial cube may be embedded isometrically into an integer lattice, and the "'lattice dimension "'of the partial cube is the minimum dimension of an integer lattice for which this is possible.
7.
On 24 August 1944, the decision was taken to build a small reactor to test the group's calculations relating to such matters as lattice dimensions, sheathing materials, and control rods, before proceeding with the full-scale NRX reactor.
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