A single-valued map (f: X to Y) is said to be a selection of G, and we write ((fsubset F)) whenever (f(x in F x)) for every (xin X).
From the definition of D F i , we conclude that for each player i, there exists g i ∗ ∈ Meas ( Ω i, S i ) such that g i ∗ is a selection of F i and h g i ∗ = ( μ τ i − 1 ) ( g i ∗ ) − 1 = λ i ∗.
The subjects were recruited from a selection of over 500 haplogroup G men available in public genetic-genealogy databases in the fall of 2006.
Since they showed the adequacy of any logic that extends K with a selection of axioms of the form (G) with respect to models that satisfy the corresponding set of frame conditions, they provided "wholesale" adequacy proofs for the majority of systems in the modal family.
A G-observer (T, τ) is determined uniquely by a selection of a parameterization β : ℝ → G (represents the action as a 1-parameter group of transformations) and a symmetry cell A (Def. 11).
The function g i : Ω i → S i is said to be a selection of ( X i z i if g i ( ω i ) ∈ ( X i ( ω i ) ) z i for every ω i ∈ Ω i. D ( X i z i is the set { ( μ τ i − 1 ) g i − 1 : g i is a measurable selection of ( X i z i } and D X, z : = ∏ i ∈ I D ( X i z i. For each i ∈ I, we denote h g i = ( μ τ i − 1 ) g i − 1, where g i is a measurable selection of ( X i z i and h g = ( h g 1, h g 2, …, h g n ).
We were delighted to find that alkyl-, andl-, and silyl-substituted ynamides 3 a– d were all viable substrates, and that a variety of alkenylstannane partners featuring alkyl, aryl, and silyl groups (19 a– d) could be employed, giving a selection of disubstituted bicyclic cyclohexadienes 4 a– g.
To construct these random sequences, a selection of G. intestinalis and T. vaginalis contigs were shuffled with the same nucleotide frequency 100 times and the resulting sequences were used as control input for SnoGPS program.
These manuals explain the objectives, scope, advantages and constraints of a selection of voluntary private certification programmes (e.g. organic agriculture, "fair trade", GlobalGAP).
A selection of the variables (e.g., total roughage costs, milk delivered of quota, heifers age) are provided as an example for one farm in Table 2.
The subjects were asked to read a selection of both simple words (e.g. tree, house, car) and fantasy words (nonsense words such as talire and holotu).
