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For parallel algorithms dominated by local computation time, dynamic load balancing can be equivalent to minimizing the maximum load. However, for a communicationdominated parallel algorithms, it may be possible that a smaller maximum time can be achieved by distributing work among a subset of processors. Such a situation could have a severe load imbalance, but smaller maximum execution time. Reduction in execution time of an algorithm is achieved through reducing the sum of (1) the maximum time that each processor spends on its computations, (2) the time required for communications, and (3) the time required to determine a new DLB partitioning and migrate data. All three terms must be considered concurrently; for example, it is counterproductive for a DLB operation to reduce the computation time by t, while increasing the communication time by 10 t. This discussion of the interface for DLB is intended to frame concepts for the analysis of an application s use of DLB; however, this discussion is not intended to be that analysis. Per-Processor Computational Time: It is assumed that an application predominantly follows an owner computes rule, where the processor that owns a mesh entity (equation (11.11)) is responsible for the computations associated with that mesh entity. Thus, the variation in the processors computational times can be approximated by the sum of the per-mesh entity computational times. However, work on mesh entities may not be equivalent. For example, an algorithm An may require per-element solution of an ordinary differential equation or have per-element timestepping. Thus, the computational time, or work of a given computation An for a given processor Pk , is a function of the mesh entities being computed on. Tcomp (Pk )

where each Ri,i is 1 1. Thus, D is the diagonal matrix of eigenvalues of A. Also, we must have Qi as the corresponding matrix of eigenvectors of A. i=0 Example 11.9 Suppose that A is the matrix from Example 11.5: 4 1 A= 1 4 0 1 0 1 . 4

Occupational health, safety and environment (HSE)

To search for drawings using Windows Search feature, choose Start Search. In the Search window, enter the word or phrase that you want to look for in the Containing Text text box, and click Search Now. Using this technique, you can find not only MText and other text objects, but names of layers and other named objects that match your search word or phrase.

In the same way, assuming that the checking point is at the end of the current packet and that this packet is nonconforming, then CT kq1 s t d k . q max From 3.32., we have B2 s M

6. To select the last object that was created the line drawn in Step 1 type l . It now appears dashed. 7. Turn off OSNAP. To select the interior lines on the kitchen s island by using a fence, type f . Then pick points 5, 6, and 7. Press Enter to end the fence. 8. Type r at the Select objects: prompt (the prompt changes to Remove objects:) and pick the line at 8 to remove the external island line picked in Step 7. At this point, all of the selected items should be dashed, as shown in Figure 9-20.

WORDPAD, START WORDPAD, 1,,

20

Polycarbonate (PC)

PS-4 BCCH SDCCH PS-2 PS-11 PS-6 PS-6 PS-6 PS-9 PS-9 PS-10

a(x, z, t)

This is formally identical to the expression for the total energy T V = U,where the first term on the left is the kinetic energy T, and the second term is the potential energy V. We can therefore make an energy level diagram where horizontal lines indicating the total energy of the particle are drawn in addition to the potential energy function V . The potential energy drawn in Figure 2.19 is for a nonzero value of sin 4$.The