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In such a scenario, the number of routing peerings can be very large This can be a scaling problem for the IGPs due to the large amount of information that may be exchanged when routing changes Another limitation concerns the amount of configuration that must be done when a new site is added to the VPN Obviously, the customer router at the new site must be configured to peer with the routers at the other existing sites Unfortunately the routers at the existing sites must also be reconfigured to establish peering to the new site The overlay model achieves the fundamental goals of a VPN It provides connectivity between customer sites, allows the use of a private address space and ensures the privacy of the traffic between the sites.

The histogram shows the relative frequency with which the returns fall into the different return buckets, or class intervals It shows where in the range of observed returns the periodic returns are concentrated and where they have been experienced infrequently We create a histogram by taking the series of returns and dividing them into a number of bins or class intervals There is no hard and fast rule as to the number of bins If there are too few bins, the shape of the return distribution cannot be inferred from the chart The greater the number, the more accurately the graph will depict the return distribution But as we add more bins, gaps will begin to appear where there are bins with no returns.

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The functionality is provided by the CE routers and comes at a cost: difficulty in evaluating the bandwidth requirements between sites in cases where the bandwidth must be pre-provisioned,.

(13.13)

Once we have decided on a number that does a good job of communicating the underlying distribution, we subtract a value slightly above the lowest return from a value slightly below highest return and divide the difference by the number of bins This gives us the interval between bins We create the bins by successively adding the intervals starting from the low return..

This chapter has discussed a solution to a missing piece of the converged network jigsaw puzzle, namely point-to-multipoint LSPs. Previously, MPLS has not interacted comfortably with multicast, typically coexisting via a ships in the night approach. The advent of P2MP-TE means that multicast traffic can enjoy the traffic engineering advantages already offered by MPLS in the unicast case, such as bandwidth guarantees and fast-failover mechanisms. As a consequence of the grand unification of the two worlds of MPLS and multicast, MPLS networks are now being used for professional broadcast TV distribution, a very exacting application that was previously difficult to support on an MPLS network.

In the preceding syntax, the only difference is that the third element now contains a block of statements to be executed, which are enclosed within curly braces. Consider the following example that contains multiple executable statements if the condition holds true:

The two major UNIX shells are the Bourne shell and the C shell. The Bourne shell is similar to the first UNIX shell developed by Bell Labs. The C shell was developed at the University of California at Berkeley and has a format similar to the C programming language. Another prominent shell is the Korn shell, developed at AT&T Bell Labs, which was based on the Bourne shell but also incorporated some C shell functionality. Your copy of Linux likely contains several shells. Check your documentation for a complete listing as well as for an indication of which shells are automatically installed as part of the basic installation. Table 7.1 lists some typical shells. You can check to see whether any of the preceding shells (or others) are on your installation medium, as well as which ones were installed with your Linux operating system, by viewing the listing in the /etc/shells file. To determine the default shell you log into, check the listing after your username in the /etc/passwd file or check your environment by typing env followed by the Enter key to see which directory is listed as the SHELL=

f(r2, 0, 8) = (0.202)(0.0524) ( 0.05986) = 0.0704 and so on for each ri , i = 1, . . . , 60. We can thus generate the forward rate curve at t = 0 for T = 8 using the spot rates generated in the initial yield curve as shown in Figure 10.5. Computing the forward rate curves for all maturities, we generate the forward rate surface (each curve is a slice of the surface for a given maturity T) as shown in Figure 10.6. We can derive diffusion processes for bond prices and forward rates. Using Ito s lemma, dP(r, t, T) = d(eA( ) B( )r)) we nd that the price of a T-maturity zero-coupon bond follows the process dP(r(t), t , T ) = r(t)dt P (t , T )dz(t) P(r(t), t , T ) where the instantaneous volatility of the T-maturity bond price is: P (t , T ) = B(t , T ) = (1 e a ) a (10.53) (10.52)

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