where W k is the bandwidth for user k, and also denotes user k's weight, the coefficient K is the gap to capacity and always smaller than 1.
In what follows, we shall always denote by δ 1, λ the Kronecker symbol which is defined by δ 1, λ = 0 or 1 according to λ ≠ 1 or λ = 1, and also denote B − n ( x ; λ ) = E − n ( x ; λ ) = 0 for any positive integer n.
Throughout this article, we denote the open ball of radius r centered at 0 by B r and also denote the closed and convex hull of A ⊂ H by c o ¯ A. For ε > 0 and a mapping T : D → H, the set of ε-approximate fixed points of T will be denoted by F ε ( T, D ), i.e. F ε ( T, D ) = { x ∈ D : ∥ x − T x ∥ ≤ ε }.
The results in both INH and ETA samples have small mean and standard deviation and also denote that the range of the parameter ε we set does not affect the probability of each gene.
To determine the optimal Gaussian filtering value σ, we scan through a range of different σs to find the value that maximizes For simplicity, in the following sections, we denote (Figs 2C and 7B) and also denote for any voxel i.
Similarly, we can synthesize a MFS signal based on simple superposition of the Walsh functions SAL(2 k −1, t) in accordance with (1) f (p, t ) = ∑ k = 1 p SAL (2 k − 1, t ), where p is the order of the MFS signal and also denotes the number of primary harmonics in f p, t).
The formula (left{ {y_t -{hat{y}}_t } right} =left( {y_t -mathop sum nolimits _{i=1}^{s+1} v_{i,t} o_{i, t} } right), t = 1, 2, {ldots }, N), is also called an error-correction mechanism and is also denoted as 'short-run relationship', because in comparison with long-run relationships, those holding over a relatively short period.
In contrast, hormone receptor-negative breast cancers, that is, ER−, PgR− and Her2− (also denoted triple-negative (TN) subtype) have the worst prognosis (Schnitt, 2010).
The perovskite plane indices are assigned, and the peaks for the perovskite complex, PbI2, and FTO are also denoted as δ, *, and #, respectively.
For easy description, TX and RX are also denoted as RS0 and RS m+1, respectively.
