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To obtain a measure for this helical displacement, we calculated the approximation, using a triangulation, of the area of the ruled surface spanned by the two helices of each complex: The area of I Ak amounts to 6.7255 nm and the area of I Au amounts to 6.6575 nm.
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First, similar to other rough set models, calculating the approximation of a target set is extremely time-consuming for larger scale data.
To calculate the approximation ratio of the algorithm, we follow the same approach as the one given in [30].
FRCC_DEP is a comparison between current conditions and historical reference conditions [19] and was constructed by calculating the approximation error between current vegetation data vectors and historical simulated vegetation conditions [20].
FRCC_DEP is a comparison between current conditions and historical reference conditions [ 19] and was constructed by calculating the approximation error between current vegetation data vectors and historical simulated vegetation conditions [ 20].
As t increases, we calculate the approximations for (a=0), (a=-0.0003), (a=-0.005 a=-0.005=-0.03) and the corresponding time by solving equation (32).
As we calculated, the adiabatic approximation error is not proportional to the average speed of the variation of the system Hamiltonian and the inverse of the energy gaps in many cases.
For a given subset of mutation pairs, we calculated the matrix approximation of Eq. 2 using the decomposition algorithm by De Leeuw [16].
To compute the Green's functions, we calculated the finite-difference approximation of the linear long-wave equations in a spherical coordinate system (Satake, 1995).
The profiles calculated from the approximation and rigorous model are compared and it is shown that for a majority of operating systems the simplified model can be used and approximates very well the results obtained from an exact model.
The electrical conductivity was calculated using the approximation (derived from [30]).
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