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This work follows Equation 4 to generate fuzzy rules, and the product operator (PROD) is selected as the fuzzy set operation for AND intersection operator.
A product operator matrix is proposed to describe scalar couplings in liquid NMR.
A combination of the demagnetizing field theory and product operator formalism was utilized in the derivation.
This new structure is called a slice matrix and is computed with a custom matrix/vector product operator.
Then, the tensor (dot) product operator is used to generate a family of new rotationally and translationally invariant quantities.
All elements of an arbitrary density matrix can be reconstructed using the phase kick-back method, if the density matrix is expanded in the product operator basis44.
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In the recent survey paper [3], we provided other inequalities for the numerical radius of the product of two operators.
The next two product-type operators (D C_{varphi }) and (C_{varphi }D), attracted some attention first (see, e.g., [9 12] and the references therein).
" They believe if we take away the demand for their "product," operators of puppy mills will lose any financial incentive to operate.
The coherence pathways involved in the pulse sequence are described using product operators.
Secondly, RBFNNs are adopted to directly approximate all parts of the system parameters through Ge-Lee (GL) matrix and its product operators.
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