Associations to the word «Eisenstein»

EISENSTEIN INTEGER, noun. (algebra) A complex number of the form \(a + b \omega\), where a and b are integers and ω is defined by the following two rules: (1) \(\omega^3 = 1\) and (2) \( 1 + \omega + \omega^2 = 0\); an element of the Euclidean domain \(\mathbb{Z}[\omega]\).

EISENSTEIN, noun. Russian film maker who pioneered the use of montage and is considered among the most influential film makers in the history of motion pictures (1898-1948).