where γ j, i u ( k ) = ∑ t = u k CNR j, i u ( t ) = ∥ R j, i u ( k ) ∥ 2 σ j, i, u 2. Furthermore, for the last term in the third line, we are using the property that if is a zero-mean Gaussian variable with the variance of σ 2, then E = 2 π σ.
By Lemma 4.2, we see that A f i is a maximal monotone operator with the domain of A f i ⊂ C. Furthermore, for any x ∈ H 1 and r > 0, the resolvent T λ f i of f i coincides with the resolvent of A f i, i.e., T λ f i x = ( I + λ A f i ) − 1 x.
Then for any given z τ ∈ E 0, there is a unique solution z = ( u, u t ) for the problem (2.8) in E 0. Furthermore, for i = 1, 2, let { z τ i, h i } ( z τ i ∈ E 0 and h i ∈ L b 2 ( R ; H ) ) be two initial conditions, and denote by z i the corresponding solutions to the problem (2.8).
Furthermore, for I category, the log−law can be used to describe the variation of wind velocities below the height of 360 m, while the power−law is valid up to 1000 m.
Furthermore, for σ i ∈ ( − 1, σ ), we have.
Furthermore, for any given f i 1, f i 2, model (3.1) can be converted into a simpler form.
To calculate P T (x(1)=x∗ A,N), we find the number of sign vectors that can be recovered by solving the modified-CS under matrix A and support N with partially known support T. Furthermore, for P T ∪ { i e } ( x ( 1 ) = x ∗ ; A, N ), where i e ∈ T c ∖Δand P T ∪ { i r } ( x ( 1 ) = x ∗ ; A, N ), where i r ∈Δ, we add randomly a new index i e ∈ T c ∖Δor i r ∈Δinto set T, respectively.
The risk ratio simulation was similar to the odds ratio simulation, but the variance was different: ε 2 = 1 k ∑ 1 n i 2 p 0 − 2. Furthermore, for each trial: a.
Furthermore, for 20 years I'd kept bees on the roof of my townhouse in Manhattan.
Furthermore, for each occurrence p i of y we create the list of nodes.
Furthermore, i stands for the partial differentiation with respect to (x_{i}), (i=1,2,3,ldots,N).
