Engineering↗
Lattice Definitions and Quadratic Forms
Lattices as discrete subgroups, the Gram matrix, and the correspondence between lattices with a basis and positive definite quadratic forms.
Every page in the KEVOS library tagged Lattice. 4 pages.
Lattices as discrete subgroups, the Gram matrix, and the correspondence between lattices with a basis and positive definite quadratic forms.
The identification of elliptic curves over the complex numbers with complex tori, and the Weierstrass function that realises it.
Finitely generated abelian groups as integer matrix problems, and the two normal forms that answer the two basic questions about them.
Lattices as discrete subgroups, bases and unimodular change of basis, the Gram matrix and determinant, successive minima, and the correspondence with positive definite quadratic…