Lysenok [33], gave a recursive presentation of G by generators and relations using a homomorphism (kappa ), which we will shortly define, see (2) and (6).
Shortly after we defined our business, Don was asked to do four searches for Sprint, which was looking for sales account managers in its telecom business.
In search for an easy-to-determine yet acceptably accurate estimation of the likelihood of groundwater infiltration into leaking sewers, the parameter 'groundwater infiltration potential' or shortly GWIP was defined.
The criterion for optimality will be defined shortly.
For reasons that should be clear shortly, we have defined two random noise terms in this expression; υ is additive measurement space noise (e.g. instrument noise on a detector) and ω X is an additive physiological noise in HbO2 and Hb.
Early on June 1, the disturbance became better defined, and shortly thereafter the National Hurricane Center NHCclassifieditd it as a tropical depression while located 460 mile southwest of Acapulco.
In the centroidizing procedure, RAId_DbS first identifies what we term ε-clusters, then distills from each cluster either a single or multiple representative peaks depending on the noise level that we shall define shortly.
Furthermore, again by considering the degrees of vertices in G, Vukicević and Furtula [5] developed the Geometric-arithmetic index, shortly GA index, which is defined by GA ( G ) = ∑ u v ∈ E ( G ) 2 d u d v d u + d v. (2).
The Lorentz space denoted by L ( p, q ) ( X, μ ) (shortly L ( p, q ) ) is defined to be vector space of all (equivalence classes) of measurable functions f such that ∥ f ∥ p q ∗ < ∞, where ∥ f ∥ p q ∗ = { ( q p ∫ 0 ∞ t q p − 1 [ f ∗ ( t ) ] q d t ) 1 q, 0 < p, q < ∞, sup t > 0 t 1 p f ∗ ( t ), 0 < p ≤ q = ∞.
