Indeed, the set of lattice vectors that solve the system of congruences for , some natural numbers , and some lattice vectors , together with an additional system of equations for and some lattice vectors , can be written as where is the matrix with rows , and is the diagonal matrix w...
There are an infinite number of possible atlases to use here; one such is to pick a sufficiently small neighbourhood of the origin in and take the atlas where and for all . In particular, given any non-real complex number , the complex torus formed by quotienting by the lattice is a ...
of atoms . . . . . . . . . . . . . . . . . . . . = + LATTICE => An infinite array of points in space, in which each point has identical surroundings to all others. CRYSTAL STRUCTURE => The periodic arrangement of atoms in the lattice. 3 = + - Lattice points are ...
As template of channels, filaments in lattice are assembled inside a scaffold composed of a carbohydrate glass, derived from solving in water a mixture of sucrose and glucose. This device: allows the control of diameter and geometry of the vascular network; is compatible with different cell types...