User Tools

Site Tools


lecture_notes:04-22-2011

Differences

This shows you the differences between two versions of the page.

Link to this comparison view

Both sides previous revision Previous revision
Next revision
Previous revision
Last revision Both sides next revision
lecture_notes:04-22-2011 [2011/06/09 16:56]
eyliaw
lecture_notes:04-22-2011 [2011/06/09 17:22]
eyliaw [Searching]
Line 36: Line 36:
  
 C_X(a) is the number of characters lexicographically before a in X. C_X(a) is the number of characters lexicographically before a in X.
-   0 +   
-   G 1 +   ​L ​2 
-   ​L ​3 +   ​O ​3
-   ​O ​4+
 O_X(a,i) is the number of occurrences of a in B_X[0,i]. O_X(a,i) is the number of occurrences of a in B_X[0,i].
 ^ i ^ B_X[0,i] ^ O_X(G,i) ^ O_X(L,i) ^ O_X(O,i) ^ ^ i ^ B_X[0,i] ^ O_X(G,i) ^ O_X(L,i) ^ O_X(O,i) ^
Line 49: Line 48:
 | 6 | LO$OOG ​  | 1        | 1        | 3        |  | 6 | LO$OOG ​  | 1        | 1        | 3        | 
 | 7 | LO$OOGG ​ | 2        | 1        | 3        |  | 7 | LO$OOGG ​ | 2        | 1        | 3        | 
-    + 
-There are then two recursive formulas to find the start and end positions of a substring:+There are then two recursive formulas to find the start and end positions of a substring.
    End R_(aW) = C(a) + O(a,R_(W) - 1) + 1 or 1 if W is the empty string    End R_(aW) = C(a) + O(a,R_(W) - 1) + 1 or 1 if W is the empty string
-   Start R-(aW) = C(a) + O(a,R-(W)) or n - 1 if W is the empty string+   Start R-(aW) = C(a) + O(a,R-(W)) or (n - 1if W is the empty string
 Where a is the first character and W is the word. Where a is the first character and W is the word.
- 
-To find the end position of the substring GO in  
lecture_notes/04-22-2011.txt · Last modified: 2015/08/09 16:06 by 212.129.31.47