The object of the paper is to give a lattice generalization of Krull's ideal theory of commutative rings without finiteness assumptions, which in particular includes rings, distributive lattices and ...

This is a preview. Log in through your library . Abstract The self-consistent field theory of a previous paper (McWeeny 1956a) is generalized so as to apply to a system in which some orbitals are ...

Arguably, the problem of learning represents a gateway to understanding intelligence in brains and machines, to discovering how the human brain works and to making intelligent machines that learn from ...

Statistical mechanics is one of the pillars of modern physics. Ludwig Boltzmann (1844-1906) and Josiah Willard Gibbs (1839-1903) were its primary formulators. They both worked to establish a bridge ...