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Step 5: Hurst exponents can be obtained by linear regression using ln ( R S ) q = ln ( c ) + H ( ¿ t ) ¿ ln ( q ).
Synthetic seismograms s(t) can then be obtained by linear combination of these nine components from three basic fault geometries (Zhu and Helmberger, 1996).
The vectors in MI are linearly independent; Any vector in H can be obtained by linear combinations of the vectors in MI.
We define the maximum linearly independent vector group MI of the row vectors set H = {h μ |1 ≤ μ ≤ m} as follows: MI is a subset of H and meets the following conditions: (1) The vectors in MI are linearly independent; (2) Any vector in H can be obtained by linear combinations of the vectors in MI. .
The equation can be linearized and the temperature-dependent constants K f and 1/n can be obtained by linear regression: { ln }q_{text{e}} = ln K_{text{f}} - frac{1}{n}{ ln }C_{text{e}}, (4 where K f and n are Freundlich constants which correspond to adsorption capacity and adsorption intensity, respectively.
Given a rich collection of recurrently connected nodes with nonlinear activation functions, such a hidden layer, being an input-driven dynamical model, could provide a rich and relevant enough feature space, such that the desired HF spectral envelope could be obtained by linear combination from the state of hidden neuron nodes.
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The dispersion relation is obtained by linear fluid theory.
Equation 1 was obtained by linear fitting and D-value was calculated.
Calibration curve was obtained by linear model with weighted 1/x2 regression analysis.
The coefficient matrix H ∈ ℂK × M is obtained by linear transformation from samples.
The dispersion relation for the relativistic traveling wave tube is obtained by linear fluid theory.
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