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Talk:Parallel algorithm - Revision history
2025-05-29T03:08:50Z
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Qwerfjkl (bot)
https://en.wikipedia.org/w/index.php?title=Talk:Parallel_algorithm&diff=1002121619&oldid=prev
Billwoo2011 at 23:49, 22 January 2021
2021-01-22T23:49:56Z
<p></p>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Indeed, removed it from the page. A parallel version can be found [https://www.cs.cmu.edu/~scandal/nesl/alg-numerical.html#primes here]. [[User:Qwertyus|Q<small>VVERTYVS</small>]] <small>([[User talk:Qwertyus|hm?]])</small> 20:42, 15 May 2015 (UTC)</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Indeed, removed it from the page. A parallel version can be found [https://www.cs.cmu.edu/~scandal/nesl/alg-numerical.html#primes here]. [[User:Qwertyus|Q<small>VVERTYVS</small>]] <small>([[User talk:Qwertyus|hm?]])</small> 20:42, 15 May 2015 (UTC)</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>"In computer science, a parallel algorithm, as opposed to a traditional serial algorithm, is an algorithm which can do multiple operations in a given time.". </div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Can't all algorithms can do multiple operations in a "given time"? Parallel algorithms are defined by allowing operations to be performed at the *same* time are they not? From the reference: "... it is usually necessary to design an algorithm that specifies multiple operations on each step, i.e., a parallel algorithm." Single step is not synonymous with "given time", I think "simultaneously"/"same time" would be more explicit [[User:Billwoo2011|Billwoo2011]] ([[User talk:Billwoo2011|talk]]) 23:49, 22 January 2021 (UTC)</div></td>
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Billwoo2011
https://en.wikipedia.org/w/index.php?title=Talk:Parallel_algorithm&diff=662497693&oldid=prev
Qwertyus: /* The sieve of Eratosthenes parallelisation */
2015-05-15T20:42:56Z
<p><span class="autocomment">The sieve of Eratosthenes parallelisation</span></p>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* the outer loop iterates over already found prime numbers - this loop is serial, because it uses knowledge of composite numbers from previous iterations to save work;</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* the outer loop iterates over already found prime numbers - this loop is serial, because it uses knowledge of composite numbers from previous iterations to save work;</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* the inner loop iterates over the whole prescribed number set to mark multiples of a given prime number (from the outer loop) as composite - this can be done in parallel. <small class="autosigned">—&nbsp;Preceding [[Wikipedia:Signatures|unsigned]] comment added by [[Special:Contributions/83.25.127.16|83.25.127.16]] ([[User talk:83.25.127.16|talk]]) 08:24, 18 April 2015 (UTC)</small><!-- Template:Unsigned IP --> <!--Autosigned by SineBot--></div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* the inner loop iterates over the whole prescribed number set to mark multiples of a given prime number (from the outer loop) as composite - this can be done in parallel. <small class="autosigned">—&nbsp;Preceding [[Wikipedia:Signatures|unsigned]] comment added by [[Special:Contributions/83.25.127.16|83.25.127.16]] ([[User talk:83.25.127.16|talk]]) 08:24, 18 April 2015 (UTC)</small><!-- Template:Unsigned IP --> <!--Autosigned by SineBot--></div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>:Indeed, removed it from the page. A parallel version can be found [https://www.cs.cmu.edu/~scandal/nesl/alg-numerical.html#primes here]. [[User:Qwertyus|Q<small>VVERTYVS</small>]] <small>([[User talk:Qwertyus|hm?]])</small> 20:42, 15 May 2015 (UTC)</div></td>
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Qwertyus
https://en.wikipedia.org/w/index.php?title=Talk:Parallel_algorithm&diff=657010446&oldid=prev
SineBot: Signing comment by 83.25.127.16 - "/* The sieve of Eratosthenes parallelisation */ new section"
2015-04-18T08:25:14Z
<p>Signing comment by <a href="/wiki/Special:Contributions/83.25.127.16" title="Special:Contributions/83.25.127.16">83.25.127.16</a> - "<span class="autocomment">The sieve of Eratosthenes parallelisation: </span> new section"</p>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>This article states that the sieve of Eratosthenes is inherently serial. That is not true. The sieve of Eratosthenes consists of two loops:</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>This article states that the sieve of Eratosthenes is inherently serial. That is not true. The sieve of Eratosthenes consists of two loops:</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* the outer loop iterates over already found prime numbers - this loop is serial, because it uses knowledge of composite numbers from previous iterations to save work;</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* the outer loop iterates over already found prime numbers - this loop is serial, because it uses knowledge of composite numbers from previous iterations to save work;</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* the inner loop iterates over the whole prescribed number set to mark multiples of a given prime number (from the outer loop) as composite - this can be done in parallel.</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* the inner loop iterates over the whole prescribed number set to mark multiples of a given prime number (from the outer loop) as composite - this can be done in parallel.<ins style="font-weight: bold; text-decoration: none;"> <small class="autosigned">—&nbsp;Preceding [[Wikipedia:Signatures|unsigned]] comment added by [[Special:Contributions/83.25.127.16|83.25.127.16]] ([[User talk:83.25.127.16|talk]]) 08:24, 18 April 2015 (UTC)</small><!-- Template:Unsigned IP --> <!--Autosigned by SineBot--></ins></div></td>
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SineBot
https://en.wikipedia.org/w/index.php?title=Talk:Parallel_algorithm&diff=657010341&oldid=prev
83.25.127.16: /* The sieve of Eratosthenes parallelisation */ new section
2015-04-18T08:24:06Z
<p><span class="autocomment">The sieve of Eratosthenes parallelisation: </span> new section</p>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>I think that is meant to be inherently sequential. <span style="font-size: smaller;" class="autosigned">—Preceding [[Wikipedia:Signatures|unsigned]] comment added by [[Special:Contributions/119.224.35.68|119.224.35.68]] ([[User talk:119.224.35.68|talk]]) 22:40, 31 December 2009 (UTC)</span><!-- Template:UnsignedIP --> <!--Autosigned by SineBot--></div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>I think that is meant to be inherently sequential. <span style="font-size: smaller;" class="autosigned">—Preceding [[Wikipedia:Signatures|unsigned]] comment added by [[Special:Contributions/119.224.35.68|119.224.35.68]] ([[User talk:119.224.35.68|talk]]) 22:40, 31 December 2009 (UTC)</span><!-- Template:UnsignedIP --> <!--Autosigned by SineBot--></div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>This article states that the sieve of Eratosthenes is inherently serial. That is not true. The sieve of Eratosthenes consists of two loops:</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* the outer loop iterates over already found prime numbers - this loop is serial, because it uses knowledge of composite numbers from previous iterations to save work;</div></td>
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83.25.127.16
https://en.wikipedia.org/w/index.php?title=Talk:Parallel_algorithm&diff=481229763&oldid=prev
121.45.201.75: set to mid importance for computer science
2012-03-10T22:54:48Z
<p>set to mid importance for computer science</p>
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121.45.201.75
https://en.wikipedia.org/w/index.php?title=Talk:Parallel_algorithm&diff=335188757&oldid=prev
SineBot: Signing comment by 119.224.35.68 - "/* inherently serial? */ new section"
2009-12-31T22:42:03Z
<p>Signing comment by <a href="/wiki/Special:Contributions/119.224.35.68" title="Special:Contributions/119.224.35.68">119.224.35.68</a> - "<span class="autocomment">inherently serial?: </span> new section"</p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 22:42, 31 December 2009</td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== inherently serial? ==</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>I think that is meant to be inherently sequential. <span style="font-size: smaller;" class="autosigned">—Preceding [[Wikipedia:Signatures|unsigned]] comment added by [[Special:Contributions/119.224.35.68|119.224.35.68]] ([[User talk:119.224.35.68|talk]]) 22:40, 31 December 2009 (UTC)</span><!-- Template:UnsignedIP --> <!--Autosigned by SineBot--></div></td>
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SineBot
https://en.wikipedia.org/w/index.php?title=Talk:Parallel_algorithm&diff=335188580&oldid=prev
119.224.35.68: /* inherently serial? */ new section
2009-12-31T22:40:58Z
<p><span class="autocomment">inherently serial?: </span> new section</p>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>I'd made it a footnote to the end of the paragraph, because it wasn't immediately obvious to me how to make it flow well with the rest of the article. If someone finds it useful (and accurate, I hope!), feel free to add it back in. ~ [[User:Jeffq|Jeff Q]]&nbsp;[[User talk:Jeffq|(talk)]] 12:26, 29 August 2009 (UTC)</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>I'd made it a footnote to the end of the paragraph, because it wasn't immediately obvious to me how to make it flow well with the rest of the article. If someone finds it useful (and accurate, I hope!), feel free to add it back in. ~ [[User:Jeffq|Jeff Q]]&nbsp;[[User talk:Jeffq|(talk)]] 12:26, 29 August 2009 (UTC)</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><br /></td>
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119.224.35.68
https://en.wikipedia.org/w/index.php?title=Talk:Parallel_algorithm&diff=310705058&oldid=prev
Jeffq: /* Parallel algorithms are valuable */ new section
2009-08-29T12:26:24Z
<p><span class="autocomment">Parallel algorithms are valuable: </span> new section</p>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>There are entirely ("embarrassingly") parallel algorithms for computing digits of <math>\pi</math>. For example, see D. H. Bailey, P. B. Borwein and S. Plouffe, "On The Rapid Computation of Various Polylogarithmic Constants", manuscript, 1996, which is [http://citeseer.ist.psu.edu/bailey96rapid.html</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>available via Citeseer]. Also, just because an algorithm appears to have linear data dependencies doesn't mean that it can't be effectively parallelized. For details, see G. Blelloch, "Vector Models for Data-Parallel Computing." <small>—Preceding [[Wikipedia:Signatures|unsigned]] comment added by [[User:Hilbertastronaut|Hilbertastronaut]] ([[User talk:Hilbertastronaut|talk]] • [[Special:Contributions/Hilbertastronaut|contribs]]) 16:53, 12 October 2007 (UTC)</small><!-- Template:Unsigned --> <!--Autosigned by SineBot--></div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>available via Citeseer]. Also, just because an algorithm appears to have linear data dependencies doesn't mean that it can't be effectively parallelized. For details, see G. Blelloch, "Vector Models for Data-Parallel Computing." <small>—Preceding [[Wikipedia:Signatures|unsigned]] comment added by [[User:Hilbertastronaut|Hilbertastronaut]] ([[User talk:Hilbertastronaut|talk]] • [[Special:Contributions/Hilbertastronaut|contribs]]) 16:53, 12 October 2007 (UTC)</small><!-- Template:Unsigned --> <!--Autosigned by SineBot--></div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>I completely rewrote the "Parallel algorithms are valuable" paragraph because it seemed a bit confused. Here's what it had said:</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>: ''Parallel algorithms are valuable because it is faster to perform large computing tasks via a parallel algorithm than it is via a serial (non-parallel) algorithm, because of the way modern processors work. It is far more difficult to construct a computer with a single fast processor than one with many slow processors with the same throughput. There are also certain theoretical limits to the potential speed of serial processors. Every parallel algorithm has a serial part and so parallel algorithms have a saturation point (see [[Amdahl's law]]). After that point adding more processors does not yield any more throughput but only increases the overhead and cost.''</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>I'd already rewritten the first sentence to be more specific:</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Then I realized that the rest of the material had two serious problemms. First, without the appropriate context, the second sentence is exactly backwards. It's typically more difficult to build a ''multiprocessor'' system than a ''uniprocessor'' system with a given throughput – unless, of course, the uniprocessor itself can't be built. Second, the rest of the paragraph conflated several ideas:</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* An undefined "saturation point" (presumably the maximum speedup, but no such term is in the article)</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* Discussion of overhead (something not included in Amdahl's law, but part of the [[Karp-Flatt metric]])</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>The result is that it starts out talking about the limitations of serial processing, and winds up using a theory of the limitations of ''parallel'' processing to make its point.</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>After I'd pointlessly tried to straighten out the discussions of parallel processing limitations, I finally just cleaned up the original point: ''parallel algorithms are valuable''. But here's the parallel-problems material I wrote:</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>I'd made it a footnote to the end of the paragraph, because it wasn't immediately obvious to me how to make it flow well with the rest of the article. If someone finds it useful (and accurate, I hope!), feel free to add it back in. ~ [[User:Jeffq|Jeff Q]]&nbsp;[[User talk:Jeffq|(talk)]] 12:26, 29 August 2009 (UTC)</div></td>
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https://en.wikipedia.org/w/index.php?title=Talk:Parallel_algorithm&diff=310700998&oldid=prev
Jeffq: added headings to 2 earlier posts; deleted nonsensical post from 70.19.84.16 on 3 October 2006
2009-08-29T11:46:15Z
<p>added headings to 2 earlier posts; deleted nonsensical post from 70.19.84.16 on 3 October 2006</p>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>I typed in '/wiki/Parallel_programming' and got 'Parallel computing', but this is the page I wanted.</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>I typed in '/wiki/Parallel_programming' and got 'Parallel computing', but this is the page I wanted.</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>There are entirely ("embarrassingly") parallel algorithms for computing digits of <math>\pi</math>. For example, see D. H. Bailey, P. B. Borwein and S. Plouffe, "On The Rapid Computation of Various Polylogarithmic Constants", manuscript, 1996, which is [http://citeseer.ist.psu.edu/bailey96rapid.html</div></td>
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Jeffq