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where [Z.sup.(r)] is the matrix of the labeled set, the matrix [H.sub.n] is a centering matrix, and the matrix [D.sup.(r)] is a diagonal matrix for the rth media data.

Semi-supervised Cross-media Feature Learning via Efficient [L.sub.2,q] Norm

[F.sub.BB][k], which can be got by water-filling is the diagonal matrix of [P.sub.s].

Low Complexity Hybrid Precoding for Broadband mmWave Massive MIMO Systems

In our notation, the linear algebraic system [Au.sup.N] = [f.sup.N] is multiplied from the left by the diagonal matrix

CONVERGENCE OF THE MULTIPLICATIVE SCHWARZ METHOD FOR SINGULARLY PERTURBED CONVECTION-DIFFUSION PROBLEMS DISCRETIZED ON A SHISHKIN MESH

[M.sub.C] = [X.sup.H.sub.A] x [X.sub.A] + [X.sup.H.sub.B] x [X.sub.B] is a diagonal matrix of the fluid-structural coupled modal masses, and [[OMEGA].sub.C] = diag[[[omega].sub.C0], [[omega].sub.C1], [[omega].sub.C2], ...] is a diagonal matrix of the fluidstructural coupled natural frequencies.

Research on Power Flow Transmission through Elastic Structure into a Fluid-Filled Enclosure

Singular value decomposition (SVD), decomposes a matrix into left and right singular vectors and a diagonal matrix of singular values.

Host Feasibility Investigation to Improve Robustness in Hybrid DWT+SVD Based Image Watermarking Schemes

where [[GAMMA].sub.Rx] is a [N.sub.Rx] x K matrix with its kth column contains [s.sub.Rx] ([[theta].sub.k]), [[GAMMA].sub.Tx] is [N.sub.Tx] x K matrix constructed in a similar manner from [s.sub.Tx]([[theta].sub.k]), [beta] is a K x K diagonal matrix with its elements containing [[beta].sub.k], and

AOA, Delay, and Complex Propagation Factor Estimation for the Monostatic MIMO Radar System

(i) MIMO systems can be decomposed into a number of single-input single-output (SISO) systems using the unit diagonal matrix decoupling method.

Adaptive Reduced Dimension Fuzzy Decoupling Control Method with Its Application to a Deployable Antenna Panel

(i) there is no graph with v [greater than or equal to] 3 (independence of off diagonal matrix elements);

A Renormalisation Group Approach to the Universality of Wigner's Semicircle Law for Random Matrices with Dependent Entries

if [gamma] has multiplicity m> 1 as an eigenvalue of A, and A is diagonal matrix, we can also choose n independent functions with the form [t.sup.k] exp([gamma]t), k = 0,1, ..., n - 1.

Optimal Stochastic Control Problem for General Linear Dynamical Systems in Neuroscience

where [mathematical expression not reproducible] is a vector of the disturbance estimate of the observer output and [K.sub.9] [member of] [R.sup.3x3] is a positive definite diagonal matrix, and [beta] [member of] [R.sup.3] is the intermediate vector for the design.

Dynamic Surface Adaptive Robust Control of Unmanned Marine Vehicles with Disturbance Observer

where [k.sub.1] [member of] [R.sup.3x3] is a diagonal matrix and each diagonal element of the matrix is a positive constant.

Robust Command Filtered Adaptive Backstepping Control for a Quadrotor Aircraft