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Using an augmented coefficient vector, the PD output signal can be expressed as (11).
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It turns out that an upper bound of the convergence rate is bounded by a function of the condition number of the augmented coefficient matrix of the CDMJLMEs.
where A i,i and b i are elements of the augmented coefficient matrix that is generated after several steps of Gauss elimination.
where the augmented coefficient vector has dimensions 1 × (Pℓ 1Mℓ 1+ Pℓ 2Mℓ 2+ Pℓ 3Mℓ 3+ Pℓ 4Mℓ 4Mℓ1).
The rectangle augmented coefficient matrix C is (n − 1) × 3, and therefore it can be transformed to a 3 × 3 square matrix, M, by left multiplying the transpose of C.
Thermal performance enhancement factor (TEF) is defined as the ratio of the heat transfer coefficient of an augmented surface, h, to that of a smooth surface, h 0, under the constant pumping power condition.
If there is an A ∞ -map ϵ A : A → K we will call A augmented.
The method combining an augmented Lyapunov-Krasovskii functional, a mixed model transformation, the decomposition technique of constant coefficients, and utilization of zero equations has been adopted to study the paper.
In this paper, we propose an augmented coupling interface method on a Cartesian grid for solving eigenvalue problems with sign-changed coefficients.
Using an augmented regression analysis with seven dummies for the influential observations, we find that none of the corresponding coefficients is significant at the 5%-level.
Constructing an augmented contour tree, 3.
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