The relationships between lipid changes and outcomes appear consistent across statins, but the rankings may not hold exactly for other statins or other lipid treatments such as fibrates.
While the relationship between lipid changes and outcomes appears consistent across statins, 18 the rankings here may not hold exactly for other statins, and less so for other lipid treatments such as fibrates.
Later, it has been shown that a relation of this kind holds exactly for two solvable models, the mean-field and the one-dimensional XY model, respectively.
Indeed, the contractive conditions (1.1) and (1.2) do not hold for the choice of the function F, but (2.26) holds exactly for k = 2 3 with x 0 = − 1 and y 0 = 1 and yields ( 0, 0 ) as the coupled fixed point of F. .
Indeed, the contractive condition (1.3) does not hold for the choice of functions F and g, but (2.25) holds exactly for k = 3 5 with x 0 = − 1 and y 0 = 1 and yields ( 0, 0 ) as the coupled coincidence point of F and g.
Indeed, the contractive condition (1.3) does not hold for the choice of functions F and g, but (2.25) holds exactly for k = 3 5 with x 0 = − 1 and y 0 = 1 and yields ( 0, 0 ) as the coupled coincidence point of F and g. .
The IA holds exactly for the linear combiner case in which the succeeding regression vectors are statistically independent of each other (see, for example, in multiple sidelobe canceller (MSLC) applications [15]) while in practice, the LMS algorithm is mostly run on transversal filters in which the regression vectors exhibit a shift dependency.
Indeed, the contractive conditions (1.1) and (1.2) do not hold for the choice of the function F, but (2.26) holds exactly for k = 2 3 with x 0 = − 1 and y 0 = 1 and yields ( 0, 0 ) as the coupled fixed point of F. Now, in order to prove the existence and uniqueness of the coupled common fixed point for our main results, we need the following lemma.
Note that, additionally, Lemma 1 holds exactly for extended factors as they are factors which are treated as only containing black and white positions.
The new method does make some assumptions, which, although unlikely to hold exactly, are reasonable for this sort of calculation.
While calypso and jazz are totally relevant to Crosby they do not hold exactly the same currency for an artist like Eska, who has had a very different life experience.
