Zhegalkin Polynomial - Related Work

Related Work

In the same year as Zhegalkin's paper (1927) the American mathematician E.T. Bell published a sophisticated arithmetization of boolean algebra based on Dedekind's ideal theory and general modular arithmetic (as opposed to arithmetic mod 2). The much simpler arithmetic character of Zhegalkin polynomials was first noticed in the west (independently, communication between Soviet and western mathematicians being very limited in that era) by the American mathematician Marshall Stone in 1936 when he observed while writing up his celebrated Stone duality theorem that the supposedly loose analogy between boolean algebras and rings could in fact be formulated as an exact equivalence holding for both finite and infinite algebras, leading him to substantially reorganize his paper.

Read more about this topic:  Zhegalkin Polynomial

Famous quotes containing the words related and/or work:

    Generally there is no consistent evidence of significant differences in school achievement between children of working and nonworking mothers, but differences that do appear are often related to maternal satisfaction with her chosen role, and the quality of substitute care.
    Ruth E. Zambrana, U.S. researcher, M. Hurst, and R.L. Hite. “The Working Mother in Contemporary Perspectives: A Review of Literature,” Pediatrics (December 1979)

    But it isn’t only the terror everywhere, and the fear of being conscious of it, that freezes people. It’s more than that. People know they are in a society dead or dying. They are refusing emotion because at the end of very emotion are property, money, power. They work and despise their work, and so freeze themselves. They love but know that it’s a half- love or a twisted love, and so they freeze themselves.
    Doris Lessing (b. 1919)