Ring formula


  • Webster's Revised Unabridged Dictionary
    • Ring formula (Chem) a graphic formula in the shape of a closed ring, as in the case of benzene, pyridine, etc. See Illust. under Benzene.
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In literature:

He said the usual formula when a stranger is presented to the pope is for the guest to kneel and kiss his ring.
"My Memories of Eighty Years" by Chauncey M. Depew

In news:

Ferrari Formula One driver Fernando Alonso of Spain rings the closing bell at the New York Stock Exchange.
Probe of baby formula theft ring leads to woman's arrest.

In science:

In particular, Givental conjectured that his universal formula, when applied to the genus 0 Gromov-Witten potential of a target manifold with the semi-simple quantum cohomology ring, reconstructs the full Gromov-Witten potential.
BCOV theory via Givental group action on cohomological field theories
We also describe our proof of the Faber intersection number conjecture using a recursive formula of n-point functions and discuss possible relations between tautological rings and mock theta functions.
Descendent integrals and tautological rings of moduli spaces of curves
ZN -DNF formulas over the ring Z n N are learnable by a randomized algorithm with equivalence queries, when N is large enough.
Algorithms for Testing Monomials in Multivariate Polynomials
Corso, Polini and Ulrich [CPU, Example 4.11] also gave an example showing that the formula qu ∩ L = core(a) does not hold for arbitrary ideals in Cohen-Macaulay rings.
Constructive characterization of the reduction numbers
Tight closure theory for Stanley-Reisner rings has been studied by many authors and formulae for the parameter test ideal and the test ideal have been given in terms of the minimal primes of the ring (see for example Theorem 3.7 in ).
Strong test modules and multiplier ideals