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By using this matrix-based product description, dependencies between requirements, behaviors of the product and the product's properties and characteristics can be mapped and analyzed systematically during the product development process.
Then, by using this matrices, the nonlinear two-dimensional Volterra integro-differential equation has been reduced to an algebraic system.
By using this small matrix, the total correction of the ICI and MAI noise cannot be performed as it is proposed in [18].
By using this fractional operational matrix and collocation method a numerical method is proposed for solving the fractional Bagley-Torvik equations.
By using this transfer function matrix, an analysis technique based on the relative gain array is employed to determine the interaction between the variables and to help in the choice of proper pairing between controlled and manipulated variables.
By using this algorithm, the inverse matrix of (24) can be calculated perfectly with the same accuracy as that for the direct inverse matrix calculation.
The response spectral density matrix obtained by using this new approach contains the spectral densities and the cross-spectral densities of the system generalized displacements and velocities.
Then the approximate solution of the problem in truncated series form is obtained by using the matrix form of this method.
Note that these identities are given by using the matrix Q in [13].
We can prove Eq. (39) ([8], Theorem 11), directly by using the matrix form (37) as follows.
By using the matrix decoupling technique, new delay dependent stabilization conditions are presented in terms of Linear Matrix Inequalities (LMI).
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CEO of Professional Science Editing for Scientists @ prosciediting.com