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Program to test the De Moivre s formula for Fibonacci numbers:
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[APPENDIX
Barcode Recognizer In Java
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public class Fibonacci { public static void main(String[] args) { final double SQRT5 = Math.sqrt(5.0); final double PHI = (1 + SQRT5)/2; final double PSI = (1 - SQRT5)/2; long f0, f1 = 0, f2 = 1; for (int n = 2; n < 32; n++) { f0 = f1; f1 = f2; f2 = f1 + f0; double fn = (Math.pow(PHI, n) - Math.pow(PSI, n))/SQRT5; System.out.print("%4d%12.2", f2, fn); } } }
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INDEX
Draw EAN / UCC - 13 In Visual Basic .NET
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Abstract data type, 3 abstract modifier, 8 AbstractList class, 69 Access package, 9 private, 19 protected, 19 public, 19 Accessor method, 7, 106 Ackermann function, 178 Acyclic graph, 288 Adel son-Velskii, G.M., 237 Adjacency list, 291, 293 Adjacency matrix, 290, 293 Aggregation, 10 Algorithm: binary search, 31, 46, 168, 241 bubble sort, 256, 320 bucket sort, 271 Dijkstra, 297 Euclidean, 171 heap sort, 265 insertion sort, 258 merge sort, 260 quick sort, 263 radix sort, 270 selection sort, 257 shell sort, 259 Almost complete binary tree, 207 Amortized constant time, 86 API, 16 Array, 26 associative, 148 generic, 106 Array component, 26, 33 Array duplication, 28 Array element, 26, 33 ArrayDeque class, 69
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ArrayIndexOutOfBoundsException, 26, 33
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assert statement, 106
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Associative array, 148 Autoboxing, 97 AVL tree, 237, 240, 241 Babbage primes, 36 Bag, 72 Basis of recursive algorithm, 166 Behavior of an object, 3 Bidirectional iterator, 87 BIFO container, 247 Binary logarithm, 319 Binary search algorithm, 31, 46, 168, 241 Binary search tree, 234, 240, 241 Binary tree: complete, 205 empty, 202 full, 202 inorder traversal, 209 postorder traversal, 208 preorder traversal, 208 Binomial coefficient function, 170 Bounded wildcard type, 77 Breadth-first search, 300 BST property, 235 Bubble Sort, 276 Bubble sort algorithm, 256, 320 Bucket sort algorithm, 271 Call tree, 178 Catalan numbers, 227 Class declaration, 5 Class member, 19 Class method, 10, 19 Class: AbstractList, 69 anonymous, 213 ArrayDeque, 69 ArrayList, 69 Dictionary, 70 generic, 100 HashMap, 69
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ArrayList, 100 ArrayList class, 69 asList() method, 96
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HashSet, 69 Hashtable, 70
INDEX
Digraph, 292 weighted, 295 Dijkstra s algorithm, 297 Direct access, 100, 148 Direct recursion, 175, 179 Disconnected, 287, 294 Divide and conquer, 274 Divide-and-conquer strategy, 168 Dummy node, 107 Dynamic programming, 173 Elements of an array, 26 Embedded graph, 293 Empty binary tree, 202 Enhanced for loop, 256 Enqueue, 117 enum type, 5, 13, 20 Enumerated type, 83 Equal, 20 equals() method, 19 Euclidean algorithm, 171 Euler path, 295 Eulerian graph, 295 Event-driven simulation, 125 Explicit argument, 7 Expression tree, 209 Extension, 10 Factorial function, 165 Factorial numbers, 325 Fermat primes, 36 Fibonacci method, 167 Fibonacci numbers, 166, 326 Fibonacci sequence, 166 Field, 2, 5 declaration, 5 FIFO, 87, 117, 247 FILO, 111, 125 final modifier, 8, 9 First-in-first-out protocol, 87 For-each construct, 13, 79 For-each loop, 256 Forest, 219, 223 Full binary tree, 202, 220 Function: complexity, 320 hash, 151 Game of craps, 189, 191, 196 Generic array, 106 Generic class, 100 Generic method, 15, 76, 100 Generic type, 74, 104 Generic type argument, 100
inner, 61
java.util.Arrays, 15 LinkedHashMap, 70 LinkedHashSet, 69 LinkedList, 69 Map, 69
nested, 5, 61
PriorityQueue, 69 Queue, 69 Set, 69 Stack, 70 TreeMap, 69 TreeSet, 69 Vector, 70
Coercion, 15 Collection, 69 Common ratio, 323 Comparator interface, 79 Complete binary tree, 205 Complete digraph, 292 Complete graph, 286 Complexity, 274, 275 Complexity analysis of a recursive algorithm, 172 Complexity function, 320 Component, 287 Components of an array, 26 Composition, 10, 90, 143 Computable domain, 178 Concordance, 157 Connected, 287 Constrained generic type parameter, 100 Constructor, 2, 5, 6, 19 declaration, 6 Contract, 256 Copy constructor, 143 Cosine recursive function, 175 Craps game, 189, 191, 196 Cycle, 287 Declaration, 5 class, 5 Default constructor, 143 Degree, 188, 286 Deleting from a sorted linked list, 59 Depth, 187 Depth-first search, 301 Deque, 91, 99 Deque interface, 69 Dequeue, 117 Dictionary, 92, 148 Dictionary class, 70
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