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The last, and most visible, part of any network is the software applications that use it If you want to copy a file residing on another system in your network, you need an application like Network in Windows Vista (or My Network Places in earlier versions of Windows) that enables you to access files on remote systems If you want to view Web pages, you need a Web browser like Internet Explorer or Mozilla Firefox The people who use a network experience it through an application A user who knows nothing about all the other parts of a network may still know how to open an e-mail application to retrieve mail (Figure 2-44)

Currently, various mechanisms are used to control the characteristics of traffic being allowed into a network Called traffic shaping, this process is primarily used at ingress routers Network operators are starting to use traffic shaping to condition internal links for better service quality on their internal internetworks Remember, network managers are faced with the reversal of the "80/20 rule" and transition to the current pattern in which as much as 75% of traffic in a private autonomous system is part of an external connection By definition, traffic shaping is the practice of controlling the volume of packets entering a network and controlling the rate of transmission in order to make traffic conform to a desired pattern The name comes from the fact that a traffic flow is said to have been shaped when its pattern is changed The two predominant ways to shape traffic are the leaky bucket and token bucket mechanisms

So let s concentrate on the imaginary part and set x 0 We will expand the sin function in Taylor, giving us sin y y ( y)3 / 3! + ( y)5 / 5! lim = lim y 0 y 0 y y This means e z 1 =1 z 0 z lim Therefore it must be the case that d z e z + z e z = ez e = lim z 0 z dz Other derivatives of elementary functions also correspond to the results you re familiar with from the calculus of real variables: d sin z = cos z dz d sinh z = cosh z dz d cos z = sin z dz d cosh z = sinh z dz ( y)2 ( y)4 = lim 1 + y 0 3! 5! =1

Figure 2-44

A leaky bucket controls the rate at which packets enter a network, by manipulating inbound queues to smooth bursty traffic into less-variable flows As mentioned, ATM invented the leaky bucket as a way to control the rate at which ATM cell traffic is transmitted over an ATM link This mechanism has come into use more recently to condition IP packet datagram flows

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Applications may include a number of additional functions, such as encryption, user authentication, and tools to control the look of the data But these functions are specific to the given applications In other words, if you want to put a password on your Word document, you must use the password functions of Word to do so Layer 7, the Application layer of the OSI seven-layer model, refers to the code built into all operating systems that enables network-aware applications All operating systems have Application Programming Interfaces (APIs) that programmers can use to

A leaky bucket is configured by setting two parameters: the maximum bucket depth (queue size limit), set as total bytes, and the maximum permitted transmission rate, set as bytes per second The primary benefit of leaky bucket traffic shaping is improved predictability of performance over a link It's the most straightforward and easy-to-implement QoS mechanism there is, and it's especially popular for controlling flows when capacity is oversubscribed The occasional dropped packet discourages congestion by triggering TCP to send reduced window sizes, or even negative acknowledgements (NACKs) back to the originating host Leaky bucket's downside is that the excess packets are discarded when traffic backs up beyond the bucket's depth Also, because the "leak rate" is a fixed parameter that cannot adjust itself in realtime, bandwidth is wasted when traffic volume is less than the fixed leak rate

Layer 7 Application Layer 6 Presentation Layer 5 Session Layer 4 Transport Layer 3 Network Layer 2 Data Link

The product and quotient rules also carry over to the case of complex variables We have d df dg ( fg) = g + f (39) dz dz dz Provided that g( z ) 0 : d f f g g f = dz g g2 (310)