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In this subsection, we show the approximation analysis of our algorithm, comparing to the optimal solution.
The third curve in Figure 4 is the result of approximation analysis in Section 3.2.
By presenting an improved approximation analysis for Chan's degree-4 MST algorithm [T.
An alternative approach is developed that draws upon concepts from control systems theory, the equilibrium analysis of linear dynamical systems with time-dependent inputs, and asymptotic approximation analysis.
Equation (36) are the two-scale difference equations belonging to LCWT which reveal the relationship between linear canonical wavelets and linear canonical scale functions in multi-resolution approximation analysis associated with LCT.
We also use the reaction rates from Equation 1 to write down a master equation, which has been simulated using the Gillespie algorithm to obtain the results in Figures 2 and 4. We have performed Linear Noise Approximation analysis to prove the robustness of our results, as described below.
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Without such approximations, analysis standardised across different cohorts is of future interest to characterise associations between various beverages and risks of type 2 diabetes.
In the study of spline approximation, wavelet analysis, time frequency analysis, and sampling, there are many localized operators of non-convolution type whose stability is one of the basic assumptions.
Selection of neighbor points and approximation error analysis are also given in [6], which will not be repeatedly explained here.
In order to decrease the approximation, the analysis takes into account the distribution of the number of collision-set-n.
Thus, though it is approximation, the analysis of the MMSE receiver can be done with the same procedure as that of the ZF receiver.
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