Sentence examples for dependence of the norm from inspiring English sources
The dependence of the norm of an X-valued Calderón Zygmund operator on the UMD constant of the space X is conjectured to be linear.
The norm of the two matrices in (39) is defined as follows: (40) C ≔ ∑ i = 1 n ∑ j = 1 n c ij 2 n 2 where c ij is the coefficient in the ith row and the jth column of C. The red (black) curve illustrates the dependence of the error norm of K ∼ ˙ T, based on the DBFDA (LBFDA) of this matrix, on h.
One of these groups is the homeless, where the prevalence of smoking has been found to reach up to 96% [ 6], with early onset of smoking and heavy dependence being the norm, and comorbid dependency on alcohol and other drugs well recognised [ 7, 8].
In the high frequency regime the key problem is the dependence of mapping norms on the parameter λ.
Figure 3 shows an example of input functions simultaneously estimated for one of the datasets using two and three concentration measurements and default α values of N×1/8, 2/ (2×7), 3/ (3×6) respectively (initial results showed no significant dependence of RMS norm on α; all p values ≥ 0.35).
Yet this very deviation from the norm of universalism actually presupposed the legitimacy of the norm.
