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Canon wisely added new functionality to the PowerShot G11 by including a Shortcut button on the back-left side of the camera that you can assign from a list of options by calling up the Set Shortcut button menu. You can set the Shortcut button to operate any one of these functions when pressed: Not Assigned. The default setting. The Shortcut button has no function. ND Filter. Turns on the Neutral Density lter. White Balance. Displays the White Balance menu so you can quickly change white balance settings. Custom White Balance 1. Each press of the Shortcut button takes a custom white balance reading and assigns it Custom 1 or Custom 2 white balance settings.

(10-24)

7. What is the advantage of a cipher (such as the Enigma) that is its own inverse, as compared to a cipher that is not (such as Purple and Sigaba)

The development of a test procedure for these hypotheses requires a new probability distribution, the F distribution. The random variable F is de ned to be the ratio of two

independent chi-square random variables, each divided by its number of degrees of freedom. That is, F W u Y v (10-25)

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where W and Y are independent chi-square random variables with u and v degrees of freedom, respectively. We now formally state the sampling distribution of F. De nition Let W and Y be independent chi-square random variables with u and v degrees of freedom, respectively. Then the ratio F has the probability density function a u a b 2 u v u u2 b a v b x 1u 22 1d

b. Explain how this restriction gives the cryptanalyst an advantage when searching for a suitable crib. 9. Consider the Enigma attack discussed in the text and suppose that only cycles of S ( E ) are used to recover the correct rotor settings. Then, after the attack is completed, only the stecker value of S ( E ) is known. Using only the matched plaintext and ciphertext in Table 2.2, how many additional stecker values can be recovered

1 1u v2 2 ,

(10-26)

10. Write a program to simulate the Enigma cipher. Use your program to answer the following questions, where the rotor and reflector perrnutations are known to be

(10-27)

and is said to follow the F distribution with u degrees of freedom in the numerator and v degrees of freedom in the denominator. It is usually abbreviated as Fu,v.

22 , 42

where Re is the left rotor, R ,is the middle rotor, R, is the right rotor, , and T is the reflector. Thc notch that causes the odometer effect is at position Q for Re, V for R,, and J for R,. For example, the middle rotor steps when the right rotor steps from V to W.

Two F distributions are shown in Fig. 10-4. The F random variable is nonnegative, and the distribution is skewed to the right. The F distribution looks very similar to the chi-square distribution; however, the two parameters u and v provide extra exibility regarding shape. The percentage points of the F distribution are given in Table V of the Appendix. Let f ,u,v be the percentage point of the F distribution, with numerator degrees of freedom u and denominator degrees of freedom v such that the probability that the random variable F exceeds this value is P1F f

Custom White Balance 2. Same as Custom White Balance 1. Servo AF. Switches the autofocus system to Servo AF to track fast-moving actions or subjects. Digital Tele-Converter. Applies the Digital Tele-Converter so you can quickly get to the maximum telephoto power the G11 has to offer. Red-Eye Correction. Engages Red-Eye Correction when you suspect it might occur in your photos.

This is illustrated in Fig. 10-5. For example, if u Appendix that P1F f0.05,5,10 2

0 1 2 3 4 5 6 7 8 9 101112131415161718192021

P1F5,10

f ( x)

Plaintext A D H 0 C A D L 0 C 9 U I D P R 0 9 U 0 S 0 Ciphertext S W Z S 0 F C J M D C V U G E L H S M B G G

That is, the upper 5 percentage point of F5,10 is f0.05,5,10 3.33. Table V contains only upper-tail percentage points (for selected values of f ,u,v for 0.25) of the F distribution. The lower-tail percentage points f1 ,u,v can be found as follows.

(10-28)

For example, to nd the lower-tail percentage point f0.95,5,10, note that f0.95, 5,10 1 f0.05,10, 5 1 4.74 0.211

22 23 242526 27 28 293031 32 333435 36 3738394041 42 43

10-5.2 10-5.3

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