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It turns out that the model operator is a non-self-adjoint Jacobi matrix.
The method is independent on model operator and observation operator, and has advantages in dealing with strong nonlinearities and discontinuities.
As in [3] we apply a notion of generalization based on a model operator ⊨.
After discretization, they can be described by a simple form (4 where x is the dynamo state vector; M is the model operator, a nonlinear function of x.
The adjoint model, which is the adjoint of the dynamic model operator linearized about the time trajectory, effectively transforms the misfit into the gradient of the cost function with respect to control variables, i.e. the frictional parameters in this study.
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An interpretation of our main results in terms of model operators is given, too.
In the past business model, operators spent $10 billion on subsidies.
A mathematical analysis shows that the Logarithmic Image Processing (LIP) model and standard mathematical operators are extreme cases of the PLIP model operators.
Moreover, the PLIP model operators also have the ability to take on cases in between LIP and standard operators based on the visual requirements of the input images.
In the theory of pseudo-differential equations the main difficulty is studying model operators in canonical domains according to a local principle.
In LSRTM, the forward modeling operator is a linear operator with the Born approximation (Dai et al. 2012).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com