On a square lattice, symmetries guarantee that the coefficients " Z i " of the derivative terms are all equal.
22.
A parallel beam, with wave vector \ mathbf { k } _ i is incident on a square lattice of parameter a.
23.
For example, a 60?rotation will not work with a square lattice; nor will a 90?rotation work with a rectangular lattice.
24.
So the path-integral can be thought of as on a discrete square lattice, with lattice spacing and the limit should be taken carefully.
25.
This type of description is appropriate to very-high-dimensional square lattices, because then each site has a very large number of neighbors.
26.
The HP model can be expressed in both two and three dimensions, generally with square lattices, although triangular lattices have been used as well.
27.
In particular, a non-monotonic angular dependence of the square lattice coercivity is found to be related to disorder in the artificial spin ice system.
28.
The lands were divided into lots according to a square lattice of streets intersecting at right angles ( and main streets running along the cardinal points ).
29.
Cellular automaton models of this system divide the square lattice into two alternating subsets, and perform updates on one of the two subsets at a time.
30.
The Eisenstein integers form a triangular lattice in the complex plane, in contrast with the Gaussian integers, which form a square lattice in the complex plane.
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