Sentence examples for normed sum from inspiring English sources

Third, we compute the normed sum of PIs over the entire fast subspace in order to justify QEA.

Thus, if the normed sum of PIs over all fast modes exceeds 0.7, the reaction is defined as fast.

When comparing the normed sum of PIs for the three different regimes, four different categories of reactions can be identified depending on their respective PIs, e.g. the reaction can always be classified as fast or it changes its role between regimes.

For randomly weighted sums of martingales differences, Yang et al. [41] and Yao and Lin [42] obtained some results of complete convergence and the moment of the maximum normed sums.

The first results concerning complete convergence for normed sums of random variables were due to Hsu and Robbins (1947) [14] and Erdös (1949) [15], and the obtained results have been extended in several directions by many authors.

Then { a n X n, n ≥ 1 } is said to obey the general strong law of large numbers (SLLN) with norming constant { b n, n ≥ 1 } if the normed weighted sums 1 b n ∑ i = 1 n a i ( X i − EX i ) → 0 almost surely (a.s).s

By using some inequalities and properties of martingale differences, we investigate the moment of maximum normed randomly weighted sums of martingale differences under some weakly conditions.

For example, the Preclinical Alzheimer's Cognitive Composite (PACC) is the sum of z-score normed component measures assessing episodic memory, timed executive function, and global cognition.

Let be a normed space with norm.

Then this is a complete normed space with a norm Vert xVert _{W}=Bigl[sum vert mu_{k} vert h^{2}_{k}Bigr]^{frac{1}{2}}.

More generally if μ is a normed sequence space, we can write D μ ( A ) for x ∈ ω, for which the sum in (1.1) converges in the norm of μ.