These approximations are used to calculate matrices characterizing the modal transmission and reflection properties of a section of the curved waveguide, flanked on either side by infinitely long, straight waveguides.
(Delta A,Delta A_{d}) denote admissible uncertain perturbations of matrices A and (A_{d}), which can be represented as Delta A = ESigma F_{1},qquad Delta A_{d} = ESigma F_{2}, where (E,F_{1},F_{2}) are known real constant matrices characterizing the structures of uncertain perturbations, and Σ is an uncertain perturbation of the system that satisfies (Sigma^{T}Sigma le I).
This resulted in 3×3 matrices characterizing the endpoint inertia (I), viscosity (B) and stiffness (K).
The starting point of this analysis is the so called gene expression matrix, where rows represent genes, columns represent experimental conditions (or samples), and the values at each position of the matrix characterize the expression level of the particular gene under the particular experimental condition.
Reduced rigidity matrix characterizes the response of computational nodes to the applied load.
The two by two transduction matrix characterizes the relationship between the input electrical variables and the output mechanical variables of the PIA.
This matrix characterizes the entire data set D. Consequently, as all the pairs of receiver and transmitter draw their channel matrices from D, they observe the same spatial correlation.
In the second step, a global covariance matrix, characterizing the uncertainties of the group constants, is formed, and the uncertainties are propagated through a full core SIMULATE calculation using a stochastic approach.
The N R × N T channel matrix characterizing the l th discrete tap at ARQ round k is denoted H l k, and is made of zero-mean circularly symmetric complex Gaussian random entries.
where j is the imaginary number, ω is the ratio of the flapwise bending natural frequency to the reference frequency, and Θ is a constant column matrix characterizing the deflection shape for synchronous motion and this yields {omega}^2MvarTheta ={K}^CvarTheta (35).
