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With Fermat s masterly application of mathematics to the problem of refraction that had troubled observers for 2,000 years, it seemed as if light had given up all its important secrets. True, no one knew exactly what light was, but its behaviour was predictable. There was one less problem for science to concern itself with. But light cannot be pinned down so easily. In 1669, Erasmus Bartholin, an enthusiastic experimenter from a Scandinavian family that seemed to

The putative location t0 of the gene is unknown. The functions Gk (t) cannot be fully observed. However, some genetic markers are available, allowing us to determine the genetic composition at some xed locations t1 , . . . , tM on [0, L].

(t, t1 , . . . , tk )

Figure 12.36. Adding acrylic to entire occlusal surface: red Accu lm marks of excursive contacts and black Accu lm marks of centric contacts on an adjusted appliance.

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EXAMPLE 8.1 Show that when a ray re ects from a mirror, the angle of re ection should be equal to the angle of incidence in a medium of constant n. Solution: The geometry involved is shown in Figure 8.2. y1 and y2 are the angles of incidence and of re ection, respectively. The path between A and C after re ection from the mirror should be a minimum. The path length is given by Lp n AB BC which can be written as

To nish, take expectations in (13.26), and notice that D (m) ( ) = ( 1)m m!, E D (0) (0) = p(p 1) (p m + 1).

This chapter focuses on network security. It is broken down into categories of physical security and logical access security. There are various elements to each of these including speci c security protocols, administrative access control (to prevent unauthorized users from accessing the network elements and wreaking havoc), access tools (to provide secure mechanisms for authorized users to access and recover, view and set information on the network elements), and lters and access control lists (used to prevent unauthorized traf c from traversing the network elements, particularly important in the detection and mitigation of the effects of denial of service (DoS) attacks). Security extends to other aspects (e.g. security of routing protocol messages) but that will be covered elsewhere in the book.

Appendix 3.1 (Continued) Vocal Cues Speech errors < > > < < < > > > High pitch voice Speech rate Latency period Pause durations Pause frequency

1 (1 s, t 4 )m/2

tional to the probability assigned to each bond s becoming the CTD The more bonds in the deliverable basket, and the closer they are in contention for CTD, the more variable the characteristics of the futures contract For hedgers, therefore, it is harder to estimate the basis point value of a futures price change when there is more than one bond in contention for CTD During the life of a particular futures contract, the CTD can change from one bond to another More importantly, a change in the CTD will change the relationships between all the bonds in the deliverable basket There are several market-determined reasons for this and one overriding mathematical one Clearly, the shape of the yield curve will have an impact on which bonds are cheapest.

Cons Cost. The expansive databases and increased functionality can be expensive. Many systems are available with price tags under $10,000 per annum, but some have price tags signi cantly higher. Accuracy. While most data contained in these databases is accurate, I have often found that information I get from the databases differs from information sent to me by the underlying investment managers. To put this comment in perspective, let s explore how information typically gets into a database. The typical database provider asks the managers listed in its database to provide speci c information to it by a speci c date and in a speci c format. This could be via e-mail or through direct entry on the database rm s web site. The manager not the database rm is responsible for the accuracy of the information. The database rm is responsible for taking the reams of information that it receives and accurately transfering it to its database. Some investment managers may unknowingly provide incorrect information about their rms/products to the database provider. Some might intentionally provide misleading information. Timing. Database providers do a commendable job of getting, compiling, and updating their databases on a monthly and quarterly basis, but the fact is that it does take some time to do all of this and some investment managers are not able to get their updated information included in the database. To remedy this, database providers often update their databases in several traunches.

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