Normalized number: Difference between revisions

From formulasearchengine
Jump to navigation Jump to search
← Older edit
en>Bryanrutherford0
Tagged as a math stub
en>FrescoBot
 
Line 1: Line 1:
'''Bead sort''' is a [[natural algorithm|natural]] [[sorting algorithm]], developed by [[Joshua J. Arulanandham]], [[Cristian S. Calude]] and [[Michael J. Dinneen]] in 2002, and published in The Bulletin of the [[European Association for Theoretical Computer Science]].  Both [[Digital data|digital]] and [[analog computer|analog]] hardware [[implementation]]s of bead sort can achieve a sorting time of ''[[Big O Notation|O]]''(''n''); however, the implementation of this algorithm tends to be significantly slower in [[software]] and can only be used to sort lists of [[positive integer]]s.  Also, it would seem that even in the best case, the algorithm requires ''[[Big O Notation|O]]''(''n<sup>2</sup>'') space.
== 'goods in what place ==


==Algorithm overview==
What environmental, subconsciously place with smoke, Chi Chi smoking, burning bite a large portion of the rise time for a long while, only to find a [http://www.dmwai.com/webalizer/kate-spade-13.html ケイトスペード バッグ ショルダー] room of people watching.<br><br>on abortion to be so, it makes the heart unwilling na.<br>'! burden calls'<br>Lin Yu Jing suddenly shouted, nervously picked up a flashing red light communicator, 许平秋 also anxious, direct way with: 'open channel [http://www.dmwai.com/webalizer/kate-spade-13.html kate spade ハンドバッグ] sound.'<br><br>'Hey, identity code four two, what happened.' Lin Yu Jing call forward.<br><br>'Damn, was playing, the car did not narcotics, firearms parts.' sound coming out over sin, and hear the Lord of the intellectuals straight choke neck. At this point can not take into account other, and Xu Pingqiu grabbed Communicator asked: 'goods in what place?'<br><br>'You ask me, I ask to go? all cars are firearms parts.' phone I sin road.<br><br>a room of [http://www.dmwai.com/webalizer/kate-spade-4.html ケイトスペード 人気 財布] people laugh and cry, and there is this inside, Xu Pingqiu immediately aware of their [http://www.dmwai.com/webalizer/kate-spade-2.html ケイトスペード 財布 新作] culture is what stuff up, slowed [http://www.dmwai.com/webalizer/kate-spade-7.html ケイトスペードのバッグ] down the voice asked: '? in the end what happened to you speak slowly.'
[[File:BeadSort-Figure1.svg|thumb|right|Step 1: Suspended beads on vertical poles.]]
相关的主题文章：
[[File:BeadSort-Figure2.svg|thumb|right|Step 2: The beads have been allowed to fall.]]
<ul>
The bead sort operation can be compared to the manner in which beads slide on parallel poles, such as on an [[abacus]]. However, each pole may have a distinct number of beads.  Initially, it may be helpful to imagine the beads suspended on vertical poles. In Step 1, such an arrangement is displayed using ''n=5'' rows of beads on ''m=4'' vertical poles. The numbers to the right of each row indicate the number that the row in question represents; rows 1 and 2 are representing the positive integer 3 (because they each contain three beads) while the top row represents the positive integer 2 (as it only contains two beads).<ref name="rowconventions">By convention, a row representing the positive integer ''k'' should have beads on poles 1..''k'' and poles ''k''+1..''m'' should be empty.  This is not a strict requirement, but will most likely simplify implementation.</ref>
 
  <li>[http://woaizy8.com/home.php?mod=space&uid=88655 http://woaizy8.com/home.php?mod=space&uid=88655]</li>
 
  <li>[http://gh.265nt.cn/bbs/home.php?mod=space&uid=2483800 http://gh.265nt.cn/bbs/home.php?mod=space&uid=2483800]</li>
 
  <li>[http://qxjyw.cn/plus/feedback.php?aid=664 http://qxjyw.cn/plus/feedback.php?aid=664]</li>
 
  </ul>


If we then allow the beads to fall, the rows now represent the same integers in sorted order. Row 1 contains the largest number in the set, while row ''n'' contains the smallest.  If the above-mentioned convention of rows containing a series of beads on poles 1..''k'' and leaving poles ''k''+1..''m'' empty has been followed, it will continue to be the case here.
== good leadership.' ==


The action of allowing the beads to "fall" in our physical example has allowed the larger values from the higher rows to propagate to the lower rows. If the value represented by row ''a'' is smaller than the value contained in row ''a+1'', some of the beads from row ''a+1'' will fall into row ''a''; this is certain to happen, as row ''a'' does not contain beads in those positions to stop the beads from row ''a+1'' from falling.
Away from the mouse, you somehow also led, not poor like this, right? [http://www.dmwai.com/webalizer/kate-spade-7.html ケイトスペード 財布 通販] '<br><br>'leadership came to power, morality is corrupt, this is not what [http://www.dmwai.com/webalizer/kate-spade-7.html ケイトスペードのバッグ] the laws [http://www.dmwai.com/webalizer/kate-spade-15.html ケイトスペードニューヨーク 財布] of nature?' Mouse good authentic pride.<br><br>behind Puchi, someone laughed, 熊剑飞 and mouse back and see the inspector at the man known flaw [http://www.dmwai.com/webalizer/kate-spade-6.html ケイトスペード 財布 セール] Wani female Director 熊剑飞 people honest, and quickly stood at attention, saluting, mouth praise:. 'Well Shaw Director'<br><br>mouse that can not shape a positive, a hunched, waved, like greeting like: 'yo, good leadership.'<br><br>say hello asked Okay, but this yin smiling face, chest pointing straight female leaders, it is not unsightly, Xiaomeng Qi know he on this stock se, automatic filtering, Favor Road with: 'How are you ...... you are very familiar? ah. '<br><br>'jing captain Xiong Jianfei punishment civilized way.' bear replied.<br><br>'Oh, I think [http://www.dmwai.com/webalizer/kate-spade-7.html ケイトスペードのバッグ] of it, seen you took the time ...... work okay?' Xiaomeng Qi polite way, that punishment is processed inspectors at jing team, the class officers from captain to convert all the players
相关的主题文章：
<ul>
 
  <li>[http://bbs.xiyuefu.com/home.php?mod=space&uid=41876 http://bbs.xiyuefu.com/home.php?mod=space&uid=41876]</li>
 
  <li>[http://lh1033.cn/home.php?mod=space&uid=217510 http://lh1033.cn/home.php?mod=space&uid=217510]</li>
 
  <li>[http://www.atdoman.com/home.php?mod=space&uid=88710 http://www.atdoman.com/home.php?mod=space&uid=88710]</li>
 
</ul>


The mechanism underlying bead sort is similar to that behind [[counting sort]]; the number of beads on each pole corresponds to the number of elements with value equal or greater than the index of that pole.
== drug trafficking and sent her to the camp ==


==Complexity==
Once inserted, her body spasm, seemed nervous and pain that is not fitted out.<br><br>scare her [http://www.dmwai.com/webalizer/kate-spade-1.html ケイトスペード リボン バッグ] temper and character of all men [http://www.dmwai.com/webalizer/kate-spade-7.html ケイトスペード 財布 通販] tried to approach her, I knew that he was the first one crime.<br><br>can not blink of an eye, astringent women into brothels to master it? No experience can not do such a thing. I think the crime, they think of themselves, a deep sense of guilt felt.<br><br>he [http://www.dmwai.com/webalizer/kate-spade-15.html ケイトスペードニューヨーク 財布] dared to think himself in embarrassments, is filled with the sort of this strange 'defection' story.<br><br>right, the story itself is a problem, such a thing could not open process, especially before things not yet clear. Do so now nothing more than to tell all know Lin Yu Jing, she defected, she kill, everyone must keep a distance from her, there is timely to reflect.<br><br>Is it [http://www.dmwai.com/webalizer/kate-spade-11.html バッグ ケイトスペード] deliberately leaked false facts of her murder, drug [http://www.dmwai.com/webalizer/kate-spade-2.html マザーズバッグ ケイトスペード] trafficking and sent her to the camp?<br><br>seemingly reasonable, Lin Yu Jing is different, she is itself Narcotics Bureau officers in preparing such a high-profile investigation, could have been lower
 
相关的主题文章：
Bead sort can be implemented with three general levels of complexity, among others:
<ul>
*''[[Big O Notation|O]]''(1): The beads are all moved simultaneously in the same time unit, as would be the case with the simple physical example above. This is an abstract complexity, and cannot be implemented in practice.
 
*''[[Big O Notation|O]]''(<math>\sqrt{n}</math>): In a realistic physical model that uses gravity, the time it takes to let the beads fall is proportional to the square root of the maximum height, which is proportional to n.
  <li>[http://www.amanana.com/plus/feedback.php?aid=6 http://www.amanana.com/plus/feedback.php?aid=6]</li>
*''[[Big O Notation|O]]''(n): The beads are moved one row at a time. This is the case used in the analog and [[digital hardware]] solutions.
 
*''[[Big O Notation|O]]''(S), where S is the sum of the integers in the input set: Each bead is moved individually. This is the case when bead sort is implemented without a mechanism to assist in finding empty spaces below the beads, such as in software implementations.
  <li>[http://www.isass.org/cgi-bin/membership.cgi http://www.isass.org/cgi-bin/membership.cgi]</li>
 
 
Like the [[Pigeonhole sort]], bead sort is unusual in that it can perform faster than ''[[Big O Notation|O]]''(''n''[[logarithm|log]]''n''), the fastest performance possible for a [[comparison sort]]. This is possible because the key for a bead sort is always a positive integer and bead sort exploits its structure.
  <li>[http://hitozuma.from.tv/bbs003/j-links.cgi http://hitozuma.from.tv/bbs003/j-links.cgi]</li>
 
 
==References and notes==
</ul>
<references/>
 
==External links==
*{{PDFlink|[http://www.cs.auckland.ac.nz/~jaru003/research/publications/journals/beadsort.pdf The Bead Sort paper]|114&nbsp;[[Kibibyte|KiB]]<!-- application/pdf, 117730 bytes -->}}
*[http://mgs.spatial-computing.org/ImageGallery/EXEMPLES/BeadSort/index.html Bead Sort in MGS], a visualization of a bead sort implemented in the [http://mgs.spatial-computing.org MGS] programming language
*[http://mathworld.wolfram.com/Bead-Sort.html Bead Sort on MathWorld]
 
{{sorting}}
 
[[Category:Sorting algorithms]]

Latest revision as of 04:09, 27 December 2014

'goods in what place

What environmental, subconsciously place with smoke, Chi Chi smoking, burning bite a large portion of the rise time for a long while, only to find a ケイトスペード バッグ ショルダー room of people watching.

on abortion to be so, it makes the heart unwilling na.
'! burden calls'
Lin Yu Jing suddenly shouted, nervously picked up a flashing red light communicator, 许平秋 also anxious, direct way with: 'open channel kate spade ハンドバッグ sound.'

'Hey, identity code four two, what happened.' Lin Yu Jing call forward.

'Damn, was playing, the car did not narcotics, firearms parts.' sound coming out over sin, and hear the Lord of the intellectuals straight choke neck. At this point can not take into account other, and Xu Pingqiu grabbed Communicator asked: 'goods in what place?'

'You ask me, I ask to go? all cars are firearms parts.' phone I sin road.

a room of ケイトスペード 人気 財布 people laugh and cry, and there is this inside, Xu Pingqiu immediately aware of their ケイトスペード 財布 新作 culture is what stuff up, slowed ケイトスペードのバッグ down the voice asked: '? in the end what happened to you speak slowly.' 相关的主题文章：

good leadership.'

Away from the mouse, you somehow also led, not poor like this, right? ケイトスペード 財布 通販 '

'leadership came to power, morality is corrupt, this is not what ケイトスペードのバッグ the laws ケイトスペードニューヨーク 財布 of nature?' Mouse good authentic pride.

behind Puchi, someone laughed, 熊剑飞 and mouse back and see the inspector at the man known flaw ケイトスペード 財布 セール Wani female Director 熊剑飞 people honest, and quickly stood at attention, saluting, mouth praise:. 'Well Shaw Director'

mouse that can not shape a positive, a hunched, waved, like greeting like: 'yo, good leadership.'

say hello asked Okay, but this yin smiling face, chest pointing straight female leaders, it is not unsightly, Xiaomeng Qi know he on this stock se, automatic filtering, Favor Road with: 'How are you ...... you are very familiar? ah. '

'jing captain Xiong Jianfei punishment civilized way.' bear replied.

'Oh, I think ケイトスペードのバッグ of it, seen you took the time ...... work okay?' Xiaomeng Qi polite way, that punishment is processed inspectors at jing team, the class officers from captain to convert all the players 相关的主题文章：

drug trafficking and sent her to the camp

Once inserted, her body spasm, seemed nervous and pain that is not fitted out.

scare her ケイトスペード リボン バッグ temper and character of all men ケイトスペード 財布 通販 tried to approach her, I knew that he was the first one crime.

can not blink of an eye, astringent women into brothels to master it? No experience can not do such a thing. I think the crime, they think of themselves, a deep sense of guilt felt.

he ケイトスペードニューヨーク 財布 dared to think himself in embarrassments, is filled with the sort of this strange 'defection' story.

right, the story itself is a problem, such a thing could not open process, especially before things not yet clear. Do so now nothing more than to tell all know Lin Yu Jing, she defected, she kill, everyone must keep a distance from her, there is timely to reflect.

Is it バッグ ケイトスペード deliberately leaked false facts of her murder, drug マザーズバッグ ケイトスペード trafficking and sent her to the camp?

seemingly reasonable, Lin Yu Jing is different, she is itself Narcotics Bureau officers in preparing such a high-profile investigation, could have been lower 相关的主题文章：

Retrieved from "https://en.formulasearchengine.com/index.php?title=Normalized_number&oldid=237756"