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This example displays all the integers from 0 to 99 (with a leading zero for the numbers 0 through 9). To do this, it sets up two loops: an outer tens loop and an inner units loop. Each loop counts from 0 to 9. For every iteration of the tens loop, the units loop iterates 10 times. With each iteration of the units loop, the current number is displayed by concatenating the $units value onto the $tens value. Note that the outer loop iterates 10 times, whereas the inner loop ends up iterating 100 times: 10 iterations for each iteration of the outer loop. Nested loops are great for working with multidimensional data structures such as nested arrays and objects. You re not limited to two levels of nesting either; you can create loops inside loops inside loops, and so on.

the densities of matter and radiation would be the same. This is known as the epoch of matter-radiation equality. At all earlier times, the relativistic particles would dominate the Universe. We now have enough information to calculate the full temperature versus time relationship for the Universe, assuming an instantaneous transition between radiation domination and matter domination. Since T ()( l/a, and we know how a behaves in each of those regimes, we can immediately write down the appropriate results. An acceptable approximation is to set k = 0 and A = 0, as even if they are present now they would be negligible early on. Then the scale factor grows as a ()( t 2 / 3 , giving the relation T ()( C 2 / 3 . Fixing the proportionality constant assuming the Universe is presently 12 billion years old (a slight underestimate to compensate for ignoring A) gives

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5. Delete the value and enter any mathematical expression. Press Enter or click QuickCalc s equal sign (=) button. 6. Click Apply to change the object. The new value also appears in the Properties palette.

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Routers forward packets from one LAN to another and, therefore, must understand all network protocols (such as Appletalk, DECnet, IP, Token Ring, and so on). Routers enable LAN-to-LAN and LAN-to-WAN connectivity. Routers keep a table of network addresses and know which path to take to get to each network. Routing is essentially finding a path between a source and a destination. Each router must discover, verify, and maintain all the valid paths in its routing table and then select the best path between two points for packets that need to travel across the maze of routers. Routing is complex because there are several intermediary routers that a packet must traverse on the way to its destination. Figure 28-9 shows a few candidate paths and best path for packets between headquarters and manufacturing plant.

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10. Use Zoom Dynamic to zoom in on the area around 6 and 7 in Figure 18-10. Start the INSERT command and click OK. Follow the prompts:

The computation of turbulent shear flows has been mainly pursued by three different approaches: (i) The Reynolds Averaged Navier-Stokes (RANS); (ii) The large eddy simulation (LES); (iii) The direct numerical simulation (DNS).

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rate-based flow control, 239 window-based flow control, 237 238 Average queue size, RED algorithm, 215 218 Backlog balancing flow control, asynchronous transfer mode ATM. networks, 242 267 access flow control, 253 bandwidth allocation, 253 255 BBFC algorithm, 246 249 buffer overflow prevention, 252 control objectives, 243 246 data starvation avoidance, 252 253 dequeue process, 256 quantum refreshment, 255 256 rate updating algorithm, 249 251 service policy, 253 256 simulation results, 256 263 virtual channel flow dynamics, 242 243 Backlog balancing flow control BBFC., predictive control mechanism, 240 Backlogged period, packet scheduling, generalized processor sharing GPS., 120 Back-to-back cell stream, ATM shaping multiplexer, regularity condition dual leaky bucket condition, 69 70 Backward explicit congestion notification BECN.: available bit rate ABR. systems, binary feedback systems, 271 272 rate-based flow control, 239 Bandwidth allocation: backlog balancing flow control, 253 255 multiprotocol label switching MPLS., traffic engineering, 367 Bandwidth delay product, TCP flow control, congestion control, 281 282 Bayesian estimation, probabilistic bound equivalent bandwidth, measurement-based admission control MBAC., 22 23 Beginning of message BOM. cell, TCPrIP over ATM-UBR: early packet discard EPD., 211 partial packet discard, 209 211 Behavior aggregates BAs.: differentiated services DSrDiffserv. architecture, 6 traffic classification, 342 multiprotocol label switching MPLS., differentiated services DSrDiffserv., 360 363 Bellman-Ford algorithm, integrated services networks ISNs. QoS paths, 319 321, 325 326

where l is the maximum allowed bandwidth. Thus we can write the approximation l l 8t0 2:36

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