To install click the Add extension button. That's it.

The source code for the WIKI 2 extension is being checked by specialists of the Mozilla Foundation, Google, and Apple. You could also do it yourself at any point in time.

4,5
Kelly Slayton
Congratulations on this excellent venture… what a great idea!
Alexander Grigorievskiy
I use WIKI 2 every day and almost forgot how the original Wikipedia looks like.
Live Statistics
English Articles
Improved in 24 Hours
Added in 24 Hours
What we do. Every page goes through several hundred of perfecting techniques; in live mode. Quite the same Wikipedia. Just better.
.
Leo
Newton
Brights
Milds

From Wikipedia, the free encyclopedia

In computer science, dynamization is the process of transforming a static data structure into a dynamic one. Although static data structures may provide very good functionality and fast queries, their utility is limited because of their inability to grow/shrink quickly, thus making them inapplicable for the solution of dynamic problems, where the input data changes. Dynamization techniques provide uniform ways of creating dynamic data structures.

YouTube Encyclopedic

  • 1/3
    Views:
    7 776
    70 712
    20 188
  • Brachymetatarsia Dynamization of external fixation with Dr. Khosroabadi
  • NONUNION OF FRACTURES CAUSES AND TREATMENT - Everything You Need To Know - Dr. Nabil Ebraheim
  • Femur Nailing in Lateral Position

Transcription

Decomposable search problems

We define problem of searching for the predicate match in the set as . Problem is decomposable if the set can be decomposed into subsets and there exists an operation of result unification such that .

Decomposition

Decomposition is a term used in computer science to break static data structures into smaller units of unequal size. The basic principle is the idea that any decimal number can be translated into a representation in any other base. For more details about the topic see Decomposition (computer science). For simplicity, binary system will be used in this article but any other base (as well as other possibilities such as Fibonacci numbers) can also be utilized.

If using the binary system, a set of elements is broken down into subsets of sizes with

elements where is the -th bit of in binary. This means that if has -th bit equal to 0, the corresponding set does not contain any elements. Each of the subset has the same property as the original static data structure. Operations performed on the new dynamic data structure may involve traversing sets formed by decomposition. As a result, this will add factor as opposed to the static data structure operations but will allow insert/delete operation to be added.

Kurt Mehlhorn proved several equations for time complexity of operations on the data structures dynamized according to this idea. Some of these equalities are listed.

If

  • is the time to build the static data structure
  • is the time to query the static data structure
  • is the time to query the dynamic data structure formed by decomposition
  • is the amortized insertion time

then

If is at least polynomial, then .

Further reading

This page was last edited on 12 February 2023, at 04:10
Basis of this page is in Wikipedia. Text is available under the CC BY-SA 3.0 Unported License. Non-text media are available under their specified licenses. Wikipedia® is a registered trademark of the Wikimedia Foundation, Inc. WIKI 2 is an independent company and has no affiliation with Wikimedia Foundation.