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The estimator of the inverse of the Hessian has the form of a differential Riccati equation.
The calculation was based on the volume balance equation in the form of a differential equation that was solved with the forward finite difference (method I) and the secondary backward finite difference (method II) procedures.
Thus, in this paper, we propose the FF code as a pre-code, which is the inverse form of a differential coding (DC) scheme.
The determination of the form of a differential operator from spectral data associated with it has enjoyed close attention from a number of authors in recent years.
As we shall see, the latter aim justifies such an abstract setting, because the problem can be transformed into the form of a differential inclusion in a Hilbert L 2 -space.
Furthermore, by the definitions of the functions (mu_{1}(t)), (mu_{2}(t)) given in (17), (18), we have a condition in the form of a differential equation, sinbigl zeta(t bigr)mu_{1}^{prime}(t -cos bigl(zet -cosigr)mu_{2}^{prime}(t)=0, quad t in J, (39) and the conditions mu_{1}(0)=0, quad mbigl zetaquad mu_{2}(0)=0.
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Unlike classical hierarchical bases, these wavelets are scale-orthogonal with respect to a given inner-product such as that arising from the weak-form of a differential operator.
The second law is most quantitative and is explicitly expressed in the unique form of a stochastic differential equation.
A method is developed to solve an optimal node activation problem in sensor networks whose measurements are supposed to be used to estimate unknown parameters of the underlying process model in the form of a partial differential equation.
In this contribution, we present the analytical solution of the one-dimensional dispersion model in the form of a partial differential equation for a continuous flow mixer with Danckwerts' boundary conditions.
It can be seen that the vibrations of the continuum are modeled in the form of a partial differential equation system [3].
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com