The classes (W^{1}L_{M}(Omega)) and (W^{1}E_{M}(Omega)) of such functions may be given the norm |u|_{Omega,M}=sum_{|alpha|leq1}bigl| D^{alpha}u bigr| _{(M }.
(ii) L x p L v 1 is a space in which the elements are given the norm ( ∫ Ω ∥ f ∥ L v 1 p d x ) 1 p, 1 ≤ p < ∞, here L v 1 is the Lebesgue space with the norm given by ∥ f ∥ L v 1 : = ∫ R 2 | f | d v. (iii) L 2 ( [ 0, T ] × Ω x, H 1 ( R v 2 ) ) is a space given the norm ( ∫ [ 0, T ] × Ω x ∥ f ∥ H v 1 2 d t d x ) 1 2, here H v 1 is the Sobolev space with respect to v. .
Given the norm of relapse linked with rehab, methadone engenders hope as a better recovery alternative (box 4, extracts 1).
This is even despite the presence of strong treatment doubts given the norm of relapse following rehab, and rehab most commonly being used in practice as a 'garage of repair' rather than as a means of sustained 'recovery' (box 2, extract 3).
In the multidimensional case, our results give the norm of the half-space Fourier multiplier on Rn.
Hiai and Kosaki gave the norm inequalities for Hilbert space operators in [5].
A follower of Thaler's theories, Bryan believed poverty-alleviating efforts could be much more effective by applying insights from the behavioral sciences - making giving the norm, not the exception.
Given the changing norms for what degree of educational training is expected of working Americans, employers might assume those who do not have a four-year degree are less ambitious or less capable, regardless of their actual ability.
However, our results suggest that these efforts may not be successful given the strong norms in Muslim society.
Given the cultural norms governing sexual behavior, it is likely that the gender difference is caused in part by over-reporting by boys and under-reporting by girls [ 6].
