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When a grammar contains rules of the form S X or S X Y only, that is, when the right-hand side of all rules of a grammar contain either only one terminal symbol X or a terminal symbol X followed at most by one non-terminal Y, this is a a right-linear regular grammar Sequence expressions that attempt to describe strings accepted or generated by such grammars, such as the expression A [ G | C+ | C+ G ] A T [G | C] , are called regular expressions Such grammars are among the simplest grammars possible, and it is easy to construct nite-state automata, such as the one provided in Figure 313, for the sequences either generated or accepted by such grammars For every regular expression or regular grammar, there is an equivalent nite-state automaton that represents or describes it, and vice versa.

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Box Setting Width Height Float Clear Description Sets the width of the element. Defines the height of the element. Places the element at the left or right page margin. Any text that encounters the element wraps around it. Sets the side on which layers cannot be displayed next to the element. If a layer is encountered, the element with the Clear attribute places itself beneath the layer. Sets the amount of space between the element and the border or margin, if no border is specified. You can control the padding for the left, right, top, and bottom independently. Defines the amount of space between the borders of the element and other elements in the page.

Regular expressions are used widely in bioinformatics to search for sequences matching a particular pattern, as given by the regular expression, in DNA or protein sequence databases When a regular expression is input to the database, a nite state automaton is generated from the regular expression that ef ciently and speedily scans the DNA or protein sequences in the database to identify partial and total matches against the expression..

H3C CH3 CH3 H HO CH3 H3C CH3 CH3 H HO CH3 H3C CH3 CH3 H HO Figure 9.1 The chemical structures of cholesterol, b-sitosterol and b-sitostanol. H b-sitostanol H CH3 CH3 H b-sitosterol H CH3 CH3 H H CH3 CH3

Cellular Digital Packet Data (CDPD), 32, 267 Central processing unit (CPU), 307 CERN. See European Particle Physics Laboratory Certificate chain, 222-223 Certificate revocation list (CRL), 225 Certification authority (CA), 220-225, 289 CGI. See Common gateway interface Challenge and response protocol, 224-225 Change cipher protocol, 247-248 Channel Definition Format (CDF), 273 Chat rooms, 396,400 Checkbox, 80-81 CHECKED attribute, 80 Checkout system, 429 Checksum, 226 Chemdex.com, 360 Cipher block chaining (CBC), 214,233 Circuit level gateway, 239-240 Cisco systems, 335,357 CLASS attribute, 86 Click-through rate, 400 Clickshare, 310 Client-server programming, 95 Client-side image map. See Image map Client-side programming, 55-94 CNET store, 318 COBRA, 177 Codd, E.F., 127 Code Division Multiple Access (CDMA), 32,267 Code model, 342 Coin signing, 298 Collaborative filtering, 331 Collaborative supply chain management, 365-367 Commerceone.com, 363 Common Gateway Interface (CGI), 96, 98-100 Compartmentalized organization, 17 Compatibility, 96

table may not seem all that compelling, it s what s under the hood here that counts. This command encompasses three useful utility functions: getTagAttributes(), stripQuotesIfTheyExist(), and deleteExtraWhiteSpace().

9/21/05

The proof of the theorem is constructive: To obtain a basic encoding matrix from a rational transfer function G ( x ) ,compute the invariant factor decompositionG ( x ) = A ( x ) r ( x ) B ( x ) and take the first k rows of B ( x ) .

(a) ShowthatH(X) = - P l o g P - 2 Q l o g Q . (b) Show that H(XIY) = 2Qa. (c) Choose the input distribution (i.e., choose P and Q) in such a way to maximize Z(X; Y) = H ( X ) - H(X1Y)) subject to P + 2Q = 1. What is the capacity for this channel 1.33 Let X U(-a, a ) (that is, X is uniformly distributed on [-a, a ] ) . Compute H(X). Compare H(X) with the entropy of a Gaussian distributionhaving the same variance. 1.34 Let g(n) denote the pdf of a random variable X with variance u2. Show that

8.23 Quadratic residue code designs. (a) Find the generator polynomials for binary quadratic residue codes of length 7 and dimensions 4 and 3. Also, list the quadratic residues modulo 7 and compare with the cyclotomic coset for B.