Output matrix

The principal diagonal of the HMO output matrix is the it electron probability density at atomy, where the summation is over all occupied orbitals. This... 

Be careful with the notation. Upper case C is for concentration in the Laplace domain. The boldface upper case C is the output matrix. 

The fact that the algorithm used by MATLAB does not return a normalized output matrix C can create problems when we do feedback calculations in Chapter 9. The easy solution is to rescale the model equations. The output equation can be written as... 

The relationship between final demand and gross output is specified according to the output matrix multiplier M = (I — A hi)-1. The structure of this output multiplier matrix can be examined by first considering the scalar employment multiplier. Since vQ = IX, the employment multiplier (2.23) can be written as... 

C FORM OF THE OUTPUT WILL APPEAR AS IN THE FOLLOWING SAMPLE C OUTPUT MATRIX (X.X)... 

For our specific data the computed concentrations Xj and Yj of component A in the jth tray appear in the first column of the on-screen output matrix for the liquid phase and in the second column for the gaseous phase, respectively, after calling linearcolumn(6,0.72, 0.01,750,7000,0.001,1.4). 

However, it is required in order to establish a property of the output matrix D. As such, this existentially quantified matrix, which is another example of a Skolem constant, is not recorded in the facts part of the WM, but only in the properties part. 

The input matrix is Ml, the output matrix is Mout rl number of rows in Ml... 

Ensure that a given integral is used in the different spin blocks in the output matrix. 

Maximizing the absolute value of the kurtosis of the components of y (Eq. 18.12), one of the columns of the separating matrix W is found, and so one independent component at a time is identified. The other columns are estimated subsequently. The algorithm has a cubic convergence and typically convergence by 20 iterations. From Eqs. (18.13), (18.14), and (18.15), the output matrix of independent components y can be written as... 

The remaining examples are predictions of five varieties simultaneously, rather than just one. The output matrix, Y, was therefore encoded by using five variables of Is and Os, using a 1 to represent each variety in the appropriate column. 

The matrix A n x n) is called the state or system matrix, which comprises the properties of the adaptronic (controlled) plant. The input matrix B n X p) maps the excitation and control forces to the relevant degrees of freedom of the plant model, while the output matrix C q x n) relates the state vector with measured responses. The feed through matrix D q x n)... 

Table 8.1 Stimulus (input)-response (output) matrix of ferroic materials. Adapted from Uchino (2000).

The theoretical basis of the CSA is derived from the neoclassic theory of production and the Leontief input-output matrix. This approach was the basis for the introduction of inter-sector dependence and also expressed concern with the measurement intensify of inter-sector finking (Zylbersztajn, 2000). The CSA methodology emphasizes the sequence of product transformations in the system. 

Analyze. Having identified the who and what of this problem, we now target the where, when, and why of the defects in the process. We use appropriate statistical analysis tools, scatter plots, SPC and SQC, Input/Output matrixes, hypothesis testing, and the like, and attempt to accurately understand what is happening in the process. 

We ask for the responding oscillation of the cabin rotation pQ t) which corresponds to an output matrix... 

Similarly, the outer relationship for the output matrix or matrix with predicted variables can... 

Table A.9 shows the commands for calculating the Gelman-Rubin statistic from the outputs of four runs of the chain given in matrices m2,. - -, Each output matrix has four columns, one for each parameter. The corresponding columns from each output matrix have to be copied into a new matrix for the samples of that parameter which is input into the macro.

Determine the hidden layer output matrix H using (15). 

The matrixes Y, C, D, and v are the output states, the output matrix, the feed forward control force matrix, and the noise matrix, respectively. In the case where the output variables are the same with the states of the system and there is no application of the control forces to the output variables, the matrixes C, D are the identity and zero matrix, respectively. The noise matrix depends oti the sensor that is used to measure the response of the system. The above equation can be solved by any numerical technique for differential equations, like an explicit Rtmge-Kutta formula, the Dormand-Prince pair, Bogacki-Shampine, and Adams-Bashforth-Moulton PECE solver. 

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