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Hence Γ is also a (smooth) k -group of multiplicative type.
Speckle noise is a multiplicative type noise inherent to signal acquisition systems using coherent radiation.
The second component is a finite k -group of multiplicative type acting on G via η g e o.
This is an R n -group of multiplicative type and we have an exact (central) sequence of R n -group schemes 1 → C ⟶ i H → H a d → 1.
Typically, illumination difference and optics related 'errors' are modelled as a multiplicative type of error, while the imaging device itself is modelled as a combination of both multiplicative and additive 'errors'errors
Set Z = Z ( H ) ; it is an R n -group of multiplicative type and we have an exact sequence of R n -group schemes 1 → Z ⟶ i H → H a d → 1.
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It is related statistically to multiplicative-type algorithm which maximizes expectation in emission tomography [24].
Finally, we note that the weighted iterative approach described in this appendix is tightly related to the multiplicative-type algorithm category in image reconstruction; for instance, the expectation maximization algorithm in emission tomography (see chap. 5 in [24]).
Models (one decision tree model [ 78] and two multiplicative-type or impact [ 49, 57] models) were used in three studies and in all cases the details of the model were given and justified.
A linear parameter dependent approach for designing a constant output feedback controller for a linear time-invariant system with stochastic multiplicative Wiener-type noise is introduced, that achieves a minimum bound on either the stochastic H2 or the H∞ performance level.
Power analysis was performed using genetic Power Calculator with a estimated prevalence for MS of 0.001 and a multiplicative model and type 1 error = 0.05 for allele test [29].
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