Shirshov's algorithm gives linear bases and algorithmic decidability of the word problem for one-relation Lie algebras [207], (recursive) linear bases for Lie algebras with (finite) homogeneous defining relations [207], and linear bases for free products of Lie algebras with known linear bases [208].
Metaquery (metapattern) is a data mining tool which is useful for learning rules involving more than one relation in the database.
It can be said that it is impossible to obtain only one relation for all types of the rocks.
Four attenuation relations characterizing events generated in crustal faults at small to medium depths, and one relation for subduction zone events, applicable to the Nido of Bucaramanga, in Colombia were used in the study.
Whereas in the past there had been something close to a one-for-one proportional relation between lost jobs and lost output, for every three percentage points of GDP that disappeared after 2008, only 1% of jobs went up in smoke.
For one, as relations with the United States head toward normalization, an influx of tourists is expected to come to Cuba of the likes the island has never seen.
He also proved the Freiheitssatz (freeness theorem) for Lie algebras [207] (for every one-relation Lie algebra L i e ( X | f ), the subalgebra ⟨ X { x i 0 } ⟩, where x i 0 appears in f, is a free Lie algebra).
The direction, for one: Francis Lawrence (no relation to "Hunger Games" star Jennifer Lawrence) dives in head first on the film's spectacle.
Clearly, there is a one-to-one relation for the following two equations: frac{partial}{partial t}v=-Delta v+a vlog v+RvquadLongleftrightarrow quadfrac{partial}{partial t}f=-Delta f+|nabla f|^{2}+af-R (1.21) under (f=-log v).
A low value of this ratio for one detector in relation to other methods is indicative of a high number of false alarms.
