Then there exist coefficients (a_i) such that begin{aligned} u(x+y)=sum limits _{i=0}^{infty } a_i sigma _i(x),quad xin partial B_1; end{aligned} in particular, (a_2=Vert Q_{(u,1)Vert _{L^2 partial B_1)}).
A mapping is said to be a contraction if there exists a coefficient such that (2.9).
That means there exists a coefficient for their potential for photon absorption from a photon source.
(5) A mapping is said to be a contraction if there exists a coefficient such that (2.9) .
In this paper, we use F ( T ) to denote the fixed point set of the mapping T. Recall that a mapping f : K → K is said to be a contraction iff there exists a coefficient α ∈ ( 0, 1 ) such that ∥ f ( x ) − f ( y ) ∥ ≤ α ∥ x − y ∥, ∀ x, y ∈ K.
Suppose that there exist nonnegative coefficients, such that (3.10).
However, statistical correlations exist between coefficients to encrypt; this leakage has been exploited to mount an error-concealment-based attack (ECA) [18].
However, to the extent that correlations between the attributes existed, the coefficients on the attributes may reflect more than the role of the particular attributes.
These estimation results show that there exist moderate (coefficients of determination of 69.3 and 64.2 %, respectively) and positive linear relationship between LF and RPK in both EM and EF flights.
Estimation results from Table 6 jointly with Fig. 4 show that there exist weak (coefficients of determinations of 16.6 and 20.7 % respectively) linear relationships between LF and ASK for both EM and EF flights.
However, in a sub-sample of the cohort, correlations between these heavy metals and dioxin-like PCBs didn't exist (correlation coefficients were either negative or less than 0.03, and none of them were significant).
