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Syntactic reasoning and pattern recognition for analysis of coronary artery images, Artificial Intelligence in Medicine, 26, pp 145 159, 2002 [9] Mandal, A K and Jennette, J Ch (Eds) Diagnosis and Management of Renal Disease and Hypertension, Carolina Academic Press, 1994 [10] Silvus, S E, Rohrmann, Ch A and Ansel, H J Text and Atlas of Endoscopic Retrograde Cholangiopancreatography Igaku-Shain, New York, 1995 [11] Tadeusiewicz, R and Ogiela, M R Artificial Intelligence Techniques in Retrieval of Visual Data Semantic Information, in Menasalvas, E, Segovia, J, Szczepaniak, P S (Eds), Advances in Web Intelligence, Lecture Notes in Artificial Intelligence, 2663, Springer Verlag, pp 18 27, 2003 [12] Skomorowski, M Use of random graphs for scene analysis, Machine Graphics & Vision, 7, pp 313 323, 1998 [13] Tadeusiewicz, R and Flasinski, M Pattern Recognition, Polish Scientific Publisher, Warsaw, 1991 [14] Ogiela, M R and Tadeusiewicz, R.

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which Alice sends to Bob When Bob receives the ciphertext, he breaks it into blocks ci of length two and treats these as column vectors He then decrypts the message by computing pi = A-lci (mod 26) for each ciphertext block c i The Hill cipher, with an invertible matrix A (mod 26) and block length n, can be viewed as a substitution cipher utilizing an alphabet of 26n possible letters and the expected letter frequency distribution in the ciphertext is far more uniform than that of the plaintext This makes a ciphertext only attack generally impractical However, the Hill cipher is highly vulnerable to a known plaintext attack Suppose that Trudy suspects Alice of using a Hill cipher with an n x n encryption matrix A Further, suppose that Trudy can obtain ciphertext blocks c i , for i = 0 , 1 , .

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for loops can be useful for repeating an action multiple times, especially when the number of repetitions is known. However, once you master data structures such as Array, Object, and XMLList, you ll nd yourself using loops to iterate through collections of data all the time. Depending on the circumstance, this can be greatly aided by several for loop variants in ActionScript 3.0. I ll introduce these loops here, but you ll return to them when you learn about Array and Object.

The for..in loop uses the properties of an Object to iterate. So, for every object stored within another object, the loop body executes once. This loop will be revisited in 10, Objects and Dictionaries, after an in-depth look into Objects. A typical for..in loop is depicted here:

, n - 1, where each block is of length n, as well as the corresponding plaintext blocks, that is, pi, for i = 0 , 1 , ,n - 1 Then Trudy may be able t o recover t,he key A as follows: Let P and C be the n x n matrices whose columns are formed by the plaintext p i and ciphertext ci, respectively Then A P = C and if it is the case that gcd(det(P),26) = 1, the matrix P- (mod 26) exists If the inverse matrix exists, Trudy can compute P-l and from P- she can determine A via A = C P - l Once Trudy finds A , the decryption matrix A- is easily calculated The Hill cipher is an example of a linear cipher The linearity of the Hill cipher effectively creates a large number of substitutions, which is desirable.

for (var propertyName:String in targetObject) { //do some action }

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