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Geometrical optics (ray optics) involves approximate treatment of wave propagation in which the wavelength l is considered to be in nitesimally small. In practice, this means l is much smaller than the spatial sizes of all disturbances to the amplitude or phase of a wave eld. For example, if a phase shift of 2p radians occurs over a distance of many wavelengths due to a phase-shifting aperture, geometrical optics can be reliably used. For example, ray optics can be used in a large core multimode optical ber. In geometrical optics, a wave eld is usually described by rays which travel in different optical media according to a set of rules. The Eikonal equation forms the basis of geometrical optics. It can be derived from the Helmholtz equation as the wavelength approaches zero. This chapter consists of eight sections. Section 8.2 introduces the physical fundamentals of the propagation of rays. This is followed by the ray equation in Section 8.3. For rays traveling close to the optical axis, it is shown that the simpli cation of the ray equation results in the paraxial ray equation. The eikonal equation is derived in Section 8.4. Local spatial frequencies and rays are illustrated in Section 8.5 with examples. The meridional rays, which are rays traveling in a single plane containing the optical axis and another orthogonal axis such as the y-axis, are described in Section 8.6 in terms of 2 2 matrix algebra. The theory is generalized to thick lenses in Section 8.7. The entrance and exit pupils of a complex optical system are described in Section 8.8.

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Senior executives are often shocked that people are talking about everything from safety to design in automobiles, and from ef cacy to side effects in drugs These are deep and broad conversations yet much of the corporate world doesn t know they exist Try this: Type complaints and the name of your company into a Web browser, and see what s being said about you and your products While the complaint sites seem to accept almost anything and some of the complaints (like the ones I quoted at the beginning of this chapter) are off the wall, you may nd issues to investigate further Soon the complaint sites are going to be like traditional media; there are going to be wacky ones, but some will rise to the top and become as in uential as Consumer Reports Trust is another major reason to allow critical comments on your site.

#!/usr/bin/perl # # This script is used to delete MPLS traffic engineering from a set of # Juniper routers. # # It reads the hostname from a file "listhosts.txt" that contains a list # of hostnames or ip addresses with one device per line. It logs into each # one using telnet. It then deletes mpls traffic engineering. # # The user must have key based access to the device. This reduces the need for # interaction to return a password. # # To run the script, simply type ./myscript. # # Perl doesn t easily support the bidirectional opening of data pipes. # It is much better at producing formatted text that can be either cut # and paste into a CLI or used by an API like JUNOScript # # Need to work with IPC open2(). Might need Comm.pl or IPC::Chat. Use IPC::Open2; Use Symbol;

Table 3.7 presents the backtested portfolio results from December 31, 1992, to December 31, 2002, for this system. A quick glance at the numbers shows this system s backtested portfolio results are inferior to almost all of those examined earlier. Readers are encouraged to experiment with adding filters, such as implied volatility of options on the underlying asset breaking above the upper/lower Bollinger bands as confirming entry criteria. If implied volatility were trending up, a filter might improve our probability of participating in a sustainable trending market, thereby transforming a marginally profitable system into a viable one.5

The Davies bound (D), de ned by Proposition 4.1. One, three, or two terms of the Rice series (R1, R3, R2 in the sequel): that is, K m ( 1)m+1 P(X(0) > u) + m!

Applicability of Rule 2 Governing Holding Periods for Short Sales to Certain Arbitrage Operations Example 1: On August 15, 1999, X buys 100 convertible bonds of Y Corporation for purposes other than arbitrage operations The bonds are convertible into the common stock of Y Corporation on the basis of one bond for one share of stock On November 1, 1999, X sells short 100 shares of common stock of Y Corporation in a transaction identified as part of an arbitrage operation On the same day, X buys another 100 convertible bonds of Y Corporation in a transaction identified and intended to be part of the same arbitrage operation On the basis of all of the facts, the bonds acquired on August 15, 1999 and November 1, 1999 are substantially identical to the common stock of Y Corporation (because the bonds entitle X to acquire the common stock of Y Corporation).

Andrea, a twenty-something urbanite, tells me she has bought several items from Overstockcom The site, like Amazon, Net ix, Circuit.

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