The constitutive system is solved by a damped Newton-Raphson algorithm for the plastic multiplier and the elastic right Cauchy-Green tensor \\(\\varvec{C}_{e}\\) . To ensure power-consistency, we make use of the elastic Mandel stress construction. Two numerical examples exhibit the ...
Basically, it’s calculated by looking at all pairs of items, finding the difference between each pair’s distance in the MDS map and its distance in the original matrix, squaring that difference, and summing those squares. That measure of stress for the MDS map shown in Figure 9.5 is ...
[31]. Both EDP and ED2P give more importance to the execution time than to the energy consumed. Compared to EDP, by squaring the computation time required, the ED2P metric gives even more importance to execution time than to energy consumption. One can give even more importance to ...
The algorithm runs a loop going through every coefficient and does one thing for each coefficient, so it runs in O(N) time. Multi-point evaluation involves doing this evaluation at N different points, so the total run time is O(N²). Lagrange interpolation is more complicated (search for...
Rearranging the equations in Equation (4) and squaring both sides, we get (6)Letting (7)followed by expanding the square on both sides, results in the following set of equations (8) Then, for i = 1, …, M, subtracting the term for j = N from Equation (8) yields (9) This...
[31] and Andrew et al. [32] have conducted analytical studies of speed scaling algorithms in processor sharing systems. They have proved that no online energy-proportional speed scaling algorithm can be better than two-competitive comparing to the offline optimal algorithm. Moreover, they have ...