Sentence examples for 1 noting from inspiring English sources
For v = 1, noting that the GED ( 1 ) is the Laplace distribution with pdf given by f 1 ( x ) = 2 − 1 / 2 exp ( − 2 1 / 2 | x | ), x ∈ R, (3.12).
This process involved setting up a new organisation consisting of six distinctive groups, each with its own purposes and tasks, as depicted in Fig. 1 (noting the arrows representing the both ways communication flow between groups).
In addition, we provide results using the Original Condition assignment, as well as group assignment based only on the Mechanistic Assessment (ignoring Original Condition), for comparison in Table 1, noting that results for all three assignment methods trend in the same direction.
Clare reflected on this situation near the end of year 1, noting that the physical split among the students was also impacting the development of an overall school vision: I think we're all still kind of figuring that (the vision) out.
For I 1, noting that w ∈ A 1, w satisfies the reverse of Hölder's inequality, ( 1 | Q | ∫ Q w ( x ) p 0 d x ) 1 / p 0 ≤ C | Q | ∫ Q w ( x ) d x. for all cube Q and some 1 < p 0 < ∞ (see [1]).
For I 1, noting that ω ∈ A 1, w satisfies the reverse of Hölder's inequality: ( 1 | Q | ∫ Q ω ( x ) p 0 d x ) 1 / p 0 ≤ C | Q | ∫ Q ω ( x ) d x. for all cubes Q and some 1 < p 0 < ∞ (see [1]).
(1) Note that 1-AANA is AANA.
Similarly, we can prove that F has a minimal element in (D_{1}), noting that F is bounded below by the zero matrix.
This model will eventually "diverge" when the residual correlation factor approaches unity (R1→ 1), along with the asymptotic condition, b1→ 1, noting the same asymptotic feature of this model as its ancestor, Eq. (5).
(2014) use an intermediate rate of (6times 10^{11}) molecules cm(^{-2}) s(^{-1}), noting only that this choice of parameter provided better fits to the observed cloud that the (1times 10^{12}) molecules cm(^{-2}) s(^{-1}) used by Imamura and Hashimoto (2001).
