inverse operator

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inverse operator

[′in‚vərs ′äp·ə‚rād·ər]
(mathematics)
The inverse of an operator L is the operator which is the inverse function of L.
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Then, for a sufficiently large number in modulus [lambda] [member of] [[PHI].sub.[??],[psi]], the inverse operator [(q - [lambda]I).sup.-1] exists and is continuous in space H = [L.sup.2](0, 1), and the following estimate holds:
Ideally, if one plans to run both power and coupling analysis based on MNE source estimates, two distinct inverse operators should be implemented.
Thus, we have proved that the operator T has an inverse operator [T.sup.-1].
By finding the inverse operator and imposing initial condition we obtain
Therefore, by the inverse operator theorem, we obtain that [[bar.T].sup.1] is a bounded linear operator.
Apply the inverse operator, [J.sup.[alpha].sub.t], which is the Riemann-Liouville fractional integral of order [alpha] > 0.
Although their relationship was linked to the general IMC strategy, they apply equally well to the neural network inverse model based IMC strategy here, where the inverse operator or controller is approximated by the neural network inverse model instead.
In view of (4) and (17), by applying the inverse operator [I.sup.[alpha]] on both sides of (16) and solving corresponding integrals we get
Generalized Inverse Operators: And Fredholm Boundary-Value Problems, 2nd Edition

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