List of Washington Wizards seasons: Difference between revisions

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{{redirect|SUHA|other uses|Suha (disambiguation){{!}}Suha}}
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In [[computer science]], '''SUHA''' ('''S'''imple [[Uniform distribution (discrete)|'''U'''niform]] '''H'''ashing '''A'''ssumption) is a basic assumption that facilitates the mathematical analysis of [[Hash_Table|hash tables]].  The assumption states that a hypothetical [[hashing function]] will evenly distribute items into the slots of a hash table.  Moreover, each item to be hashed has an equal [[probability]] of being placed into a slot, regardless of the other elements already placed. This assumption generalizes the details of the hash function and allows for certain assumptions about the stochastic system.  
 
==Applications==
SUHA is most commonly used as a foundation for mathematical proofs describing the properties and behavior of hash tables in [[theoretical computer science]]. Minimizing [[Hash_collision|hashing collisions]] can be achieved with a uniform hashing function.  These functions often rely on the specific input data set and can be quite difficult to implement.  Assuming uniform hashing allows hash table analysis to be made without exact knowledge of the input or the hash function used.
 
==Mathematical implications==
Certain properties of hash tables can be derived once uniform hashing is assumed.
 
===Uniform distribution===
Under the assumption of uniform hashing, given a hash function '''''h''''', and a hash table of size '''''m''''', the probability that two non-equal elements will hash to the same slot is
:<math>P(h(a) = h(b)) =  \frac{1}{m}.</math>
 
===Collision chain length===
Under the assumption of uniform hashing, the [[load factor (computer science)|load factor]] <math>\alpha</math> and the [[Average_case|average]] chain length of a hash table of size '''''m''''' with '''''n''''' elements will be
:<math>\alpha = \tfrac{n}{m}</math>
 
===Successful lookup===
Under the assumption of uniform hashing, the average time (in [[Big O notation|big-O notation]]) to successfully find an element in a hash table using [[Hash_table#Separate_chaining|chaining]] is
:<math>\Theta(\alpha + 1)\,</math>
 
===Unsuccessful lookup===
Under the assumption of uniform hashing, the average time (in big-O notation) to unsuccessfully find an element in a hash table using chaining is
:<math>\Theta(\alpha + 1)\,</math>
 
==Example==
A simple example of using SUHA can be seen while observing an arbitrary hash table of size 10 and a data set of 30 unique elements. If chaining is used to deal with collisions, the average chain length of this hash table may be a desirable value. Without any assumptions and with no more additional information about the data or hash function, the chain length cannot be estimated.  With SUHA however, we can state that because of an assumed uniform hashing, each element has an equal probability of mapping to a slot.  Since no particular slot should be favored over another, the 30 elements should hash into the 10 slots uniformly. This will produce a hash table with, on average, 10 chains each of length 3
:<math>\alpha = \tfrac{n}{m}</math>
 
:<math>\alpha = \tfrac{30}{10}</math>
 
:<math>\alpha = 3\,</math>
 
==See also==
*[[Hash Table]]
*[[Hash_collision|Hash Collision]]
*[[Perfect Hashing]]
 
==References==
===General===
* {{cite book
  | last = Collins
  | first = William
  | title = Data Structures and the Java Collections Framework
  | publisher = McGraw-Hill
  | date=  2004
  | chapter = Section 14.3.2: The Uniform Hashing Assumption
  | pages = 608
  | id = ISBN 0-07-282379-8 }}
* {{cite book
  | last = Cormen
  | first = Thomas H.
  | authorlink = Thomas H. Cormen
  | coauthors = [[Charles E. Leiserson]], [[Ronald L. Rivest]], [[Clifford Stein]]
  | title = [[Introduction to Algorithms]]
  | publisher = MIT Press and McGraw-Hill
  | date=  2001
  | chapter = Section 11.2: Hash Tables
  | pages = 226–228
  | id = ISBN 0-262-03293-7 }}
 
 
[[Category:Hashing]]

Latest revision as of 15:24, 14 December 2014

Next - GEN Gallery is a full incorporated Image Gallery plugin for Word - Press which has a Flash slideshow option. This one is one of the most beneficial features of Word - Press as this feature allows users to define the user roles. Change the site's theme and you have essentially changed the site's personality. Dead links are listed out simply because it will negatively have an influence on the website's search engine rating. The top 4 reasons to use Business Word - Press Themes for a business website are:.

Always remember that an effective linkwheel strategy strives to answer all the demands of popular search engines while reacting to the latest marketing number trends. Some of the Wordpress development services offered by us are:. Our Daily Deal Software plugin brings the simplicity of setting up a Word - Press blog to the daily deal space. So if you want to create blogs or have a website for your business or for personal reasons, you can take advantage of free Word - Press installation to get started. Akismet is really a sophisticated junk e-mail blocker and it's also very useful thinking about I recieve many junk e-mail comments day-to-day across my various web-sites.

Your Word - Press blog or site will also require a domain name which many hosting companies can also provide. The nominee in each category with the most votes was crowned the 2010 Parents Picks Awards WINNER and has been established as the best product, tip or place in that category. Possibly the most downloaded Word - Press plugin, the Google XML Sitemaps plugin but not only automatically creates a site map linking to everyone your pages and posts, it also notifies Google, Bing, Yahoo, and Ask. Our skilled expertise, skillfulness and excellence have been well known all across the world. When you loved this information and you would like to receive more information regarding wordpress dropbox backup please visit the page. Have you heard about niche marketing and advertising.

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Internet is not only the source for information, it is also one of the source for passive income. Sanjeev Chuadhary is an expert writer who shares his knowledge about web development through their published articles and other resource. This allows updates to be sent anyone who wants them via an RSS reader or directly to their email. In addition, Word - Press design integration is also possible. As with a terminology, there are many methods to understand how to use the terminology.

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