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In the new framework the computation of the protocol also retains unchanged, for example, the computation of EAP-AKA is same as that of UMTS-AKA.
For example, the computation of Δ M for M=500 involves matrices Q 1 and Q 2 that each of dimension 125,750.
To demonstrate the potential of Chebyshev filter diagonalization for large-scale problems of this kind we include as an example the computation of the 102 innermost eigenpairs of a topological insulator matrix with dimension 109 derived from quantum physics applications.
For example, the computation of pathway indices we have implemented is based on the use of PCs ensuring that a large percentage of variance (80% in this case) is retained.
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An example for the computation of discriminant values for each case is described in Supplementary File 2. Detailed results of this section are provided in Supplementary Tables 3 5.
Next we give an example of the computation of η by Algorithm 1.
Example of the computation of a shape context descriptor for two single points within the eight digit shape.
For example, for the computation of water saturation (Sw), one needs to define OWC in a wellbore.
A typical example is the computation of elementary flux modes at the genome-scale, requiring modular decomposition of the networks (Schuster et al. 2002).
This applies for example to the computation of a minimal unsatisfiable subset (MUS) for CNF formulas, but also to the computation of prime implicants and implicates, with immediate application in a number of AI settings.
For example, if the computation of the minimum energy of some system of \(n\) particles requires at least an exponentially increasing number of steps in \(n\), then the actual relaxation of this system to its minimum energy state will also take an exponential time.
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