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The authors, in particular, have theoretically demonstrated that the exact statistical properties (spectral moments) of the PSD functions matrix of stress tensor of the model are obtainable only from PSD functions matrix of its modal coordinates and from PSD functions matrix of inputs.
This library is compound by several functions: matrix inversion, matrix product, scalar product etc.
For two-dimensional cases, shape functions matrix is as follows: S = S_{1} S_{2}^{text{T}}.
Based on Lyapunov stability theory, adaptive control technique, the parameter update law and the technique of dealing with some integral terms, we will show that control may be used to manipulate the scaling functions matrix such that the drive system and response networks could be synchronized up to the desired scaling function matrix.
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The platform uses a computational engine to solve value-related problems, perform functions, use matrices, and solve hyperbolic problems, among more.
In the above system, is a real number, the state,, are continuous functions matrices, is a constant matrix, represents the government intervention, and the private initiative.
Other cognitive functions (matrices test and Stroop task) did not change when comparing the training group to the control group.
The mathematical theory of a vector ARMA model, which includes a Green function matrix, a correlation function matrix and a spectral density matrix, is presented.
A 3×3 transfer function matrix is used for representing the dynamics of this process.
The frequency-response function matrix and correlation function matrix of the system response are derived from these equations based on the theory of random vibration.
Homogenous transformation matrices are then employed to derive the CMM ability function matrix and the measuring probe location matrix.
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CEO of Professional Science Editing for Scientists @ prosciediting.com