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the system in Equation 9 can be shown in matrix form: U − A F = g.
The constraint ∑ i = 1 N s ( 1 + m i ) ≤ N d (15). is necessary, in order for the system in Equation (13) not to be under-determined [14].
Restoring the degraded recto verso images at hand entails solving the system in Equation (1) for ink attenuation indices, blur kernels and sources.
Note that Equation 23 vanishes for very j i such that 1 ≤ j i ≤ 2t i − v i (since the σ i, u i Open image in new window's form solutions to the linear system in Equation 3).
The closed-loop system in equation (50) can be written as dot{x} (t )= bigl[A+Delta A (t )+BKC bigr] x (t )+ bigl[A_{d}+Delta A_{d} (t )+BKC_{d} bigr]x bigl t-tau (t ) bigl t-tauGg+Ew (t ).
Firstly, we derive sufficient conditions which guarantee the FTB of system in equation (1) under ignoring the control input (u(t)), secondly, we will consider an unstable system, respectively, design the state-feedback and output-feedback controller to make the system FTB.
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The solution of each linear system in equations (26 - 28 26 - 28ceded by iscluding the corresprecededbyundary condincluding
The system in Equations 6, 7, 8 solves the problem for ρ0 and Eelectr,0 = Nλ; however, the question is how to solve effectively.
The system in Equations 7 and 8 is a substitute for the 4 N spin-orbit dimension eigenvalue partial differential electronic Schrodinger equation to calculate the ground state electronic energy and density.
Just like with the SLLM, the following steps are done in a similar manner for the SRM: For each linear system in equations (40 - 43 40 - 43de the correspondincludendary condithens.
When considering interactions, the suppression of density of states near the Fermi energy would lead to p = 1/2 for both 2D and 3D systems in Equation 1, known as Efros-Shklovskii VRH.
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