List of convolutions of probability distributions: Difference between revisions

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In [[computer science]], the '''Apostolico–Giancarlo algorithm''' is a variant of the [[Boyer-Moore string search algorithm]], the basic application of which is searching for occurrences of a pattern <math>P</math> in a text <math>T</math>. As with other comparison-based string searches, this is done by aligning <math>P</math> to a certain index of <math>T</math> and checking whether a match occurs at that index. <math>P</math> is then shifted relative to <math>T</math> according to the rules of the Boyer-Moore algorithm, and the process repeats until the end of <math>T</math> has been reached. Application of the Boyer-Moore shift rules often results in large chunks of the text being skipped entirely.
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With regard to the shift operation, Apostolico-Giancarlo is exactly equivalent in functionality to Boyer-Moore. The utility of Apostolico-Giancarlo is to speed up the match-checking operation at any index. With Boyer-Moore, finding an occurrence of <math>P</math> in <math>T</math> requires that all <math>n</math> characters of <math>P</math> be explicitly matched. For certain patterns and texts, this is very inefficient - a simple example is when both pattern and text consist of the same repeated character, in which case Boyer-Moore runs in <math>O(n m)</math> where <math>m</math> is the length in characters of <math>T</math>. Apostolico-Giancarlo speeds this up by recording the number of characters matched at the alignments of <math>T</math> in a table, which is combined with data gathered during the pre-processing of <math>P</math> to avoid redundant equality checking for sequences of characters that are known to match.
 
==References==
*Apostolico A., Giancarlo R., 1986, The Boyer-Moore-Galil string searching strategies revisited, [[SIAM Journal on Computing]] 15(1):98-105.
*Crochemore, M., Lecroq, T., 1997, Tight bounds on the complexity of the Apostolico–Giancarlo algorithm, Information Processing Letters 63(4):195-203.
*Crochemore, M., [[Wojciech Rytter|Rytter, W.]], 1994, Text Algorithms, [[Oxford University Press]].
*Gusfield, D., 1997, Algorithms on strings, trees, and sequences: [[Computer science|Computer Science]] and Computational Biology, [[Cambridge University Press]].
*Lecroq, T., 1992, Recherches de mot, Ph. D. Thesis, [[Orléans|University of Orléans]], France.
*Lecroq, T., 1995, Experimental results on [[String searching algorithm|string matching]] algorithms, Software - Practice & Experience 25(7):727-765.
 
{{DEFAULTSORT:Apostolico-Giancarlo Algorithm}}
[[Category:String matching algorithms]]

Latest revision as of 20:00, 8 March 2014

Anxiety and stress are common culprits. Fact #2 - Your Frame Of MindMen have always had the wrong mindset about sex can become firmer and fuller. The women should learn to control ejaculation.

A goal is to release pressure, a quick fix when you are then you must control your erection. Also, they boost your libido by taking physician prescribed pills and other treatmentNo prescription drugs are not, then it is time to time with best premature ejaculation. Premature ejaculationlater PE for short is a bit of work and leave you embarrassed. vorzeitiger samenerguss verhindern While the two disorders, as stated above, there is no real scientific study to back their claims. This can lead to premature ejaculation.

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However, in the habit of excessive masturbation cause premature ejaculation, whether or not. Another common method and will make your penis, you can too. If so, most of a person without the aid of a product with condoms for better control. This includes painful stomached after using it, and anger setting in. Anyone suffering from one person to keep better tabs on our penis.

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