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 ...

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 ...

Quantum information theory is a field of study that examines how quantum technologies store and process information. Over the ...

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 ...