<?xml version='1.0' encoding='UTF-8'?><?xml-stylesheet href="http://www.blogger.com/styles/atom.css" type="text/css"?><feed xmlns='http://www.w3.org/2005/Atom' xmlns:openSearch='http://a9.com/-/spec/opensearchrss/1.0/' xmlns:georss='http://www.georss.org/georss' xmlns:gd='http://schemas.google.com/g/2005' xmlns:thr='http://purl.org/syndication/thread/1.0'><id>tag:blogger.com,1999:blog-7430950421588784604</id><updated>2011-04-21T19:36:24.185-03:00</updated><title type='text'>bitvortex</title><subtitle type='html'></subtitle><link rel='http://schemas.google.com/g/2005#feed' type='application/atom+xml' href='http://bitvortex.blogspot.com/feeds/posts/default'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7430950421588784604/posts/default?max-results=100'/><link rel='alternate' type='text/html' href='http://bitvortex.blogspot.com/'/><link rel='hub' href='http://pubsubhubbub.appspot.com/'/><author><name>Leitor</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><generator version='7.00' uri='http://www.blogger.com'>Blogger</generator><openSearch:totalResults>9</openSearch:totalResults><openSearch:startIndex>1</openSearch:startIndex><openSearch:itemsPerPage>100</openSearch:itemsPerPage><entry><id>tag:blogger.com,1999:blog-7430950421588784604.post-2208585807671024072</id><published>2007-07-13T17:04:00.000-03:00</published><updated>2007-07-13T17:06:17.187-03:00</updated><title type='text'>Shogi &amp; Go</title><content type='html'>&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/7430950421588784604-2208585807671024072?l=bitvortex.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://bitvortex.blogspot.com/feeds/2208585807671024072/comments/default' title='Postar comentários'/><link rel='replies' type='text/html' href='http://www.blogger.com/comment.g?blogID=7430950421588784604&amp;postID=2208585807671024072' title='0 Comentários'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7430950421588784604/posts/default/2208585807671024072'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7430950421588784604/posts/default/2208585807671024072'/><link rel='alternate' type='text/html' href='http://bitvortex.blogspot.com/2007/07/shogi-go.html' title='Shogi &amp; Go'/><author><name>Leitor</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7430950421588784604.post-6349030886180627313</id><published>2007-02-14T16:27:00.000-03:00</published><updated>2007-02-14T17:24:49.076-03:00</updated><title type='text'>soroban e suan pan</title><content type='html'>&lt;span style="font-weight: bold;"&gt;ábacos:&lt;br /&gt;&lt;br /&gt;&lt;/span&gt;&lt;span style="font-size:100%;"&gt;muitas informações sobre o ábaco em geral (soroban e suan pan):&lt;br /&gt;&lt;/span&gt;&lt;span style="font-size:100%;"&gt;&lt;a href="http://www2.blogger.com/www.ee.ryerson.ca/%7Eelf/abacus/"&gt;&lt;span class="a"&gt;www.ee.ryerson.ca/~elf/abacus/&lt;/span&gt;&lt;/a&gt;&lt;/span&gt;&lt;br /&gt;&lt;span style="font-weight: bold;"&gt;&lt;br /&gt;soroban&lt;/span&gt;:&lt;br /&gt;&lt;br /&gt;programa simulando um soroban gratuito pra baixar:&lt;br /&gt;&lt;a href="http://www.sorobanbrasil.com.br/index.html"&gt;http://www.sorobanbrasil.com.br/index.html&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;informações gerais sobre o soroban:&lt;br /&gt;&lt;span style="font-size:100%;"&gt;&lt;a href="http://www2.blogger.com/www.soroban.org"&gt;&lt;span class="a"&gt;www.soroban.org&lt;/span&gt;&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;ensino em sampa ( tambem onde comprei o meu soroban):&lt;br /&gt;&lt;a href="http://www.cpsoroban.com.br/"&gt;http://www.cpsoroban.com.br/&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;site da maior fabricante de sorobans:&lt;br /&gt;&lt;a href="http://www.soroban.com/"&gt;http://www.soroban.com/&lt;/a&gt;&lt;br /&gt;&lt;/span&gt;&lt;br /&gt;&lt;span style="font-weight: bold;"&gt;suan pan:&lt;br /&gt;&lt;/span&gt;&lt;span&gt;&lt;br /&gt;breve introdução ao ábaco (suan pan nesse caso):&lt;br /&gt;&lt;/span&gt;&lt;span style="font-weight: bold;"&gt;&lt;span style="font-weight: bold;"&gt;&lt;/span&gt;&lt;/span&gt;&lt;span&gt;&lt;a href="http://www.ee.ryerson.ca/%7Eelf/abacus/portugues/intro.html"&gt;http://www.ee.ryerson.ca/~elf/abacus/portugues/intro.html&lt;/a&gt;&lt;/span&gt;&lt;span style="font-weight: bold;"&gt;&lt;br /&gt;&lt;/span&gt;&lt;br /&gt;o lee abacus(uma versão diferente do suan pan):&lt;br /&gt;&lt;a href="http://www.ee.ryerson.ca:8080/%7Eelf/abacus/leeabacus/bagley/"&gt;http://www.ee.ryerson.ca:8080/~elf/abacus/leeabacus/bagley/&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;sobre a história e modo de funcionamento do ábaco (em alemão):&lt;br /&gt;&lt;span style="font-size:100%;"&gt;&lt;a href="http://www2.blogger.com/www.benjaminwrightson.de/abakus.htm"&gt;&lt;span class="a"&gt;www.benjaminwrightson.de/abakus.htm&lt;/span&gt;&lt;/a&gt;&lt;/span&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/7430950421588784604-6349030886180627313?l=bitvortex.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://bitvortex.blogspot.com/feeds/6349030886180627313/comments/default' title='Postar comentários'/><link rel='replies' type='text/html' href='http://www.blogger.com/comment.g?blogID=7430950421588784604&amp;postID=6349030886180627313' title='0 Comentários'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7430950421588784604/posts/default/6349030886180627313'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7430950421588784604/posts/default/6349030886180627313'/><link rel='alternate' type='text/html' href='http://bitvortex.blogspot.com/2007/02/soroban-e-suan-pan.html' title='soroban e suan pan'/><author><name>Leitor</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7430950421588784604.post-6605207950821257201</id><published>2007-02-14T01:59:00.000-03:00</published><updated>2007-02-23T18:13:19.577-03:00</updated><title type='text'>Computação e Linux</title><content type='html'>&lt;span style="font-weight: bold;"&gt;computação geral:&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;site de dicas da unicamp(muito bom):&lt;br /&gt;&lt;a href="http://www.dicas-l.com.br/"&gt;http://www.dicas-l.com.br/&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;o melhor editor de texto do mundo(pra mim ;-)  )&lt;br /&gt;&lt;a href="http://www.vim.org/"&gt;http://www.vim.org/&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;teclado muito interessante(pena que não tem no brasil):&lt;br /&gt;&lt;a href="http://typematrix.com/"&gt;http://typematrix.com/&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;teclado dvorak:&lt;br /&gt;&lt;a href="http://www.mwbrooks.com/dvorak/"&gt;http://www.mwbrooks.com/dvorak/&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;span style="font-weight: bold;"&gt;linux:&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;o site principal, informações gerais:&lt;br /&gt;&lt;a href="http://www.linux.org/"&gt;http://www.linux.org/&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;excelente repositório de informações:&lt;br /&gt;&lt;a href="http://focalinux.cipsga.org.br/"&gt;http://focalinux.cipsga.org.br/&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;&lt;a href="http://www.linuxdicas.com.br/"&gt;http://www.linuxdicas.com.br/&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;site do slack:&lt;br /&gt;&lt;a href="http://www.slackware.org/"&gt;http://www.slackware.org/&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;mb:&lt;br /&gt;&lt;a href="http://www.slackwarezine.com.br/"&gt;http://www.slackwarezine.com.br/&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;mb: portugues&lt;br /&gt;&lt;a href="http://www.slacklife.com.br/"&gt;http://www.slacklife.com.br/&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;&lt;a href="http://www.slackware-brasil.com.br/"&gt;http://www.slackware-brasil.com.br/&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;&lt;a href="http://br-linux.org/"&gt;http://br-linux.org/&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;muito bom:&lt;br /&gt;&lt;a href="http://www.vivaolinux.com.br/"&gt;http://www.vivaolinux.com.br/&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;excelente site do carlos e. morimoto:&lt;br /&gt;&lt;a href="http://www.guiadohardware.net/"&gt;http://www.guiadohardware.net/&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;site de compras de produtos relacionados ao linux:&lt;br /&gt;&lt;a href="http://www.linuxmall.com.br/"&gt;http://www.linuxmall.com.br/&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;site da debian:&lt;br /&gt;&lt;br /&gt;site da debian brasil:&lt;br /&gt;&lt;a href="http://www.debian.org.br/"&gt;http://www.debian.org.br/&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;bash cures cancer:&lt;br /&gt;&lt;a href="http://bashcurescancer.com/"&gt;http://bashcurescancer.com/&lt;/a&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/7430950421588784604-6605207950821257201?l=bitvortex.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://bitvortex.blogspot.com/feeds/6605207950821257201/comments/default' title='Postar comentários'/><link rel='replies' type='text/html' href='http://www.blogger.com/comment.g?blogID=7430950421588784604&amp;postID=6605207950821257201' title='0 Comentários'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7430950421588784604/posts/default/6605207950821257201'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7430950421588784604/posts/default/6605207950821257201'/><link rel='alternate' type='text/html' href='http://bitvortex.blogspot.com/2007/02/computao-e-linux.html' title='Computação e Linux'/><author><name>Leitor</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7430950421588784604.post-6801097081817747166</id><published>2007-01-28T02:26:00.000-03:00</published><updated>2007-02-09T01:40:58.876-03:00</updated><title type='text'>Sites para aprender japonês/chinês</title><content type='html'>The Japanese Page:&lt;br /&gt;&lt;a href="http://www.thejapanesepage.com/"&gt;http://www.thejapanesepage.com/&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;Japanese Learning:&lt;br /&gt;&lt;a href="http://www.japaneselearning.com/"&gt;http://www.japaneselearning.com/&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;Outro site muito bom (com RSS feeds):&lt;br /&gt;&lt;a href="http://www.yookoso.com/index.php"&gt;http://www.yookoso.com/index.php&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;E-Kanji:&lt;br /&gt;&lt;a href="http://www.geocities.com/easykanji/"&gt;http://www.geocities.com/easykanji/&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;Guia da gramática japonesa:&lt;br /&gt;&lt;a href="http://www.guidetojapanese.org/"&gt;http://www.guidetojapanese.org/&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;Online Japanese Study:&lt;br /&gt;&lt;a href="http://u-biq.org/magazine.htm"&gt;http://u-biq.org/magazine.htm&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;Testes de japonês:&lt;br /&gt;&lt;a href="http://test.u-biq.org/"&gt;http://test.u-biq.org/&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;Active Chinese, é comercial, mas tem uma versão demo sobre conversação em mandarim:&lt;br /&gt;&lt;a href="http://www.activechinese.com/index.jsp"&gt;http://www.activechinese.com/index.jsp&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;Esse mostra a genealogia dos caracteres chineses(muito bom):&lt;br /&gt;&lt;a href="http://www.zhongwen.com/"&gt;http://www.zhongwen.com/&lt;/a&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/7430950421588784604-6801097081817747166?l=bitvortex.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://bitvortex.blogspot.com/feeds/6801097081817747166/comments/default' title='Postar comentários'/><link rel='replies' type='text/html' href='http://www.blogger.com/comment.g?blogID=7430950421588784604&amp;postID=6801097081817747166' title='1 Comentários'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7430950421588784604/posts/default/6801097081817747166'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7430950421588784604/posts/default/6801097081817747166'/><link rel='alternate' type='text/html' href='http://bitvortex.blogspot.com/2007/01/sites-para-aprender-japons.html' title='Sites para aprender japonês/chinês'/><author><name>Leitor</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><thr:total>1</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7430950421588784604.post-608077027794100424</id><published>2007-01-15T18:00:00.000-03:00</published><updated>2007-01-27T09:34:14.619-03:00</updated><title type='text'>Dicionários online (entre outros)</title><content type='html'>dicionário inglês-inglês:&lt;br /&gt;&lt;a href="http://wordnet.princeton.edu/"&gt;http://wordnet.princeton.edu/&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;dicionário alemão-inglês/francês/espanhol&lt;br /&gt;&lt;a href="http://dict.leo.org/"&gt;http://dict.leo.org/&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;dicionário inglês-latim e latim-inglês:&lt;br /&gt;&lt;a href="http://catholic.archives.nd.edu/cgi-bin/words.exe"&gt;http://catholic.archives.nd.edu/cgi-bin/words.exe&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;banco de dicionários :&lt;br /&gt;&lt;a href="http://www.dict.org/"&gt;http://www.dict.org/&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;the internet public library:&lt;br /&gt;&lt;a href="http://www.ipl.org/"&gt;http://www.ipl.org/&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;outro site com links para muitos outros dicionarios:&lt;br /&gt;&lt;a href="http://www.fazfacil.com.br/Dicionarios.htm"&gt;http://www.fazfacil.com.br/Dicionarios.htm&lt;/a&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/7430950421588784604-608077027794100424?l=bitvortex.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://bitvortex.blogspot.com/feeds/608077027794100424/comments/default' title='Postar comentários'/><link rel='replies' type='text/html' href='http://www.blogger.com/comment.g?blogID=7430950421588784604&amp;postID=608077027794100424' title='0 Comentários'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7430950421588784604/posts/default/608077027794100424'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7430950421588784604/posts/default/608077027794100424'/><link rel='alternate' type='text/html' href='http://bitvortex.blogspot.com/2007/01/dicionrios-online.html' title='Dicionários online (entre outros)'/><author><name>Leitor</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7430950421588784604.post-8688238298899466129</id><published>2007-01-15T15:50:00.001-03:00</published><updated>2007-01-15T15:52:38.976-03:00</updated><title type='text'>Abacus</title><content type='html'>&lt;p&gt;An &lt;b&gt;abacus&lt;/b&gt; is a calculation tool, often constructed as a wooden frame with beads sliding on wires. It was in use centuries before the adoption of the written &lt;a href="http://en.wikipedia.org/wiki/Hindu-Arabic_numeral_system" title="Hindu-Arabic numeral system"&gt;Hindu-Arabic numeral system&lt;/a&gt; and is still widely used by merchants and clerks in the &lt;a href="http://en.wikipedia.org/wiki/China" title="China"&gt;China&lt;/a&gt;, &lt;a href="http://en.wikipedia.org/wiki/Japan" title="Japan"&gt;Japan&lt;/a&gt;, &lt;a href="http://en.wikipedia.org/wiki/Hong_Kong" title="Hong Kong"&gt;Hong Kong&lt;/a&gt;, &lt;a href="http://en.wikipedia.org/wiki/Africa" title="Africa"&gt;Africa&lt;/a&gt;, and elsewhere.&lt;/p&gt; &lt;table id="toc" class="toc" summary="Contents"&gt; &lt;tbody&gt;&lt;tr&gt; &lt;td&gt; &lt;div id="toctitle"&gt; &lt;h2&gt;Contents&lt;/h2&gt;  &lt;span class="toctoggle"&gt;[&lt;a href="javascript:toggleToc()" class="internal" id="togglelink"&gt;hide&lt;/a&gt;]&lt;/span&gt;&lt;/div&gt; &lt;ul&gt;&lt;li class="toclevel-1"&gt;&lt;a href="http://en.wikipedia.org/wiki/Soroban#Origins"&gt;&lt;span class="tocnumber"&gt;1&lt;/span&gt; &lt;span class="toctext"&gt;Origins&lt;/span&gt;&lt;/a&gt;&lt;/li&gt;&lt;li class="toclevel-1"&gt;&lt;a href="http://en.wikipedia.org/wiki/Soroban#Earlier_numeral_systems"&gt;&lt;span class="tocnumber"&gt;2&lt;/span&gt; &lt;span class="toctext"&gt;Earlier numeral systems&lt;/span&gt;&lt;/a&gt;&lt;/li&gt;&lt;li class="toclevel-1"&gt;&lt;a href="http://en.wikipedia.org/wiki/Soroban#Babylonian_abacus"&gt;&lt;span class="tocnumber"&gt;3&lt;/span&gt; &lt;span class="toctext"&gt;Babylonian abacus&lt;/span&gt;&lt;/a&gt;&lt;/li&gt;&lt;li class="toclevel-1"&gt;&lt;a href="http://en.wikipedia.org/wiki/Soroban#Roman_abacus"&gt;&lt;span class="tocnumber"&gt;4&lt;/span&gt; &lt;span class="toctext"&gt;Roman abacus&lt;/span&gt;&lt;/a&gt;&lt;/li&gt;&lt;li class="toclevel-1"&gt;&lt;a href="http://en.wikipedia.org/wiki/Soroban#Chinese_abacus"&gt;&lt;span class="tocnumber"&gt;5&lt;/span&gt; &lt;span class="toctext"&gt;Chinese abacus&lt;/span&gt;&lt;/a&gt;&lt;/li&gt;&lt;li class="toclevel-1"&gt;&lt;a href="http://en.wikipedia.org/wiki/Soroban#Japanese_abacus"&gt;&lt;span class="tocnumber"&gt;6&lt;/span&gt; &lt;span class="toctext"&gt;Japanese abacus&lt;/span&gt;&lt;/a&gt;&lt;/li&gt;&lt;li class="toclevel-1"&gt;&lt;a href="http://en.wikipedia.org/wiki/Soroban#Russian_abacus"&gt;&lt;span class="tocnumber"&gt;7&lt;/span&gt; &lt;span class="toctext"&gt;Russian abacus&lt;/span&gt;&lt;/a&gt;&lt;/li&gt;&lt;li class="toclevel-1"&gt;&lt;a href="http://en.wikipedia.org/wiki/Soroban#School_abacus"&gt;&lt;span class="tocnumber"&gt;8&lt;/span&gt; &lt;span class="toctext"&gt;School abacus&lt;/span&gt;&lt;/a&gt;&lt;/li&gt;&lt;li class="toclevel-1"&gt;&lt;a href="http://en.wikipedia.org/wiki/Soroban#Uses_by_the_blind"&gt;&lt;span class="tocnumber"&gt;9&lt;/span&gt; &lt;span class="toctext"&gt;Uses by the blind&lt;/span&gt;&lt;/a&gt;&lt;/li&gt;&lt;li class="toclevel-1"&gt;&lt;a href="http://en.wikipedia.org/wiki/Soroban#Native_American_abaci"&gt;&lt;span class="tocnumber"&gt;10&lt;/span&gt; &lt;span class="toctext"&gt;Native American abaci&lt;/span&gt;&lt;/a&gt;&lt;/li&gt;&lt;li class="toclevel-1"&gt;&lt;a href="http://en.wikipedia.org/wiki/Soroban#See_also"&gt;&lt;span class="tocnumber"&gt;11&lt;/span&gt; &lt;span class="toctext"&gt;See also&lt;/span&gt;&lt;/a&gt;&lt;/li&gt;&lt;li class="toclevel-1"&gt;&lt;a href="http://en.wikipedia.org/wiki/Soroban#Further_reading"&gt;&lt;span class="tocnumber"&gt;12&lt;/span&gt; &lt;span class="toctext"&gt;Further reading&lt;/span&gt;&lt;/a&gt;&lt;/li&gt;&lt;li class="toclevel-1"&gt;&lt;a href="http://en.wikipedia.org/wiki/Soroban#External_links"&gt;&lt;span class="tocnumber"&gt;13&lt;/span&gt; &lt;span class="toctext"&gt;External links&lt;/span&gt;&lt;/a&gt; &lt;ul&gt;&lt;li class="toclevel-2"&gt;&lt;a href="http://en.wikipedia.org/wiki/Soroban#Tutorials"&gt;&lt;span class="tocnumber"&gt;13.1&lt;/span&gt; &lt;span class="toctext"&gt;Tutorials&lt;/span&gt;&lt;/a&gt;&lt;/li&gt;&lt;li class="toclevel-2"&gt;&lt;a href="http://en.wikipedia.org/wiki/Soroban#Abacus_curiosities"&gt;&lt;span class="tocnumber"&gt;13.2&lt;/span&gt; &lt;span class="toctext"&gt;Abacus curiosities&lt;/span&gt;&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt; &lt;/li&gt;&lt;/ul&gt; &lt;/td&gt; &lt;/tr&gt; &lt;/tbody&gt;&lt;/table&gt; &lt;p&gt;&lt;script type="text/javascript"&gt; //&lt;![CDATA[  if (window.showTocToggle) { var tocShowText = "show"; var tocHideText = "hide"; showTocToggle(); }  //]]&gt; &lt;/script&gt;&lt;a name="Origins" id="Origins"&gt;&lt;/a&gt;&lt;/p&gt; &lt;h2&gt;&lt;span class="editsection"&gt;[&lt;a href="http://en.wikipedia.org/w/index.php?title=Abacus&amp;action=edit&amp;amp;section=1" title="Edit section: Origins"&gt;edit&lt;/a&gt;]&lt;/span&gt; &lt;span class="mw-headline"&gt;Origins&lt;/span&gt;&lt;/h2&gt; &lt;p&gt;The origins of the abacus are disputed, as many different cultures have been known to have used similar tools. It is known to have existed in &lt;a href="http://en.wikipedia.org/wiki/Babylonia" title="Babylonia"&gt;Babylonia&lt;/a&gt; and in &lt;a href="http://en.wikipedia.org/wiki/China" title="China"&gt;China&lt;/a&gt;, with invention to have taken place between 1000 BCE and 500 BCE.&lt;sup class="noprint"&gt;[&lt;a href="http://en.wikipedia.org/wiki/Wikipedia:Citing_sources" title="Wikipedia:Citing sources"&gt;&lt;i&gt;&lt;span title="The material in the vicinity of this tag needs references to reliable sources." style="white-space: nowrap;"&gt;citation needed&lt;/span&gt;&lt;/i&gt;&lt;/a&gt;]&lt;/sup&gt; The first abacus was almost certainly based on a flat stone covered with sand or dust. Lines were drawn in the sand and pebbles used to aid calculations. From this, a variety of abaci were developed; the most popular were based on the bi-quinary system, using a combination of two bases (base-2 and base-5) to represent decimal numbers.&lt;/p&gt; &lt;p&gt;The use of the word &lt;i&gt;abacus&lt;/i&gt; dates back to before 1387 when a &lt;a href="http://en.wikipedia.org/wiki/Middle_English" title="Middle English"&gt;Middle English&lt;/a&gt; work borrowed the word from &lt;a href="http://en.wikipedia.org/wiki/Latin" title="Latin"&gt;Latin&lt;/a&gt; to describe a sandboard abacus. The Latin word came from &lt;i&gt;abakos&lt;/i&gt;, the &lt;a href="http://en.wikipedia.org/wiki/Greek_language" title="Greek language"&gt;Greek&lt;/a&gt; &lt;a href="http://en.wikipedia.org/wiki/Genitive_case" title="Genitive case"&gt;genitive form&lt;/a&gt; of &lt;i&gt;abax&lt;/i&gt; ("calculating-table"). Because &lt;i&gt;abax&lt;/i&gt; also had the sense of "table sprinkled with sand or dust, used for drawing geometric figures," it is speculated by some linguists that the Greek word may be derived from a &lt;a href="http://en.wikipedia.org/wiki/Semitic_languages" title="Semitic languages"&gt;Semitic&lt;/a&gt; &lt;a href="http://en.wikipedia.org/wiki/Root_%28philology%29" title="Root (philology)"&gt;root&lt;/a&gt;, &lt;i&gt;ābāq&lt;/i&gt;, the &lt;a href="http://en.wikipedia.org/wiki/Hebrew_language" title="Hebrew language"&gt;Hebrew&lt;/a&gt; word for "dust." Though details of the transmission are obscure, it may also be derived from the &lt;a href="http://en.wikipedia.org/wiki/Phoenician_languages" title="Phoenician languages"&gt;Phoenician&lt;/a&gt; word &lt;i&gt;abak&lt;/i&gt;, meaning "sand". The plural of abacus is &lt;i&gt;abaci&lt;/i&gt;.&lt;/p&gt; &lt;p&gt;&lt;a name="Earlier_numeral_systems" id="Earlier_numeral_systems"&gt;&lt;/a&gt;&lt;/p&gt; &lt;h2&gt;&lt;span class="editsection"&gt;[&lt;a href="http://en.wikipedia.org/w/index.php?title=Abacus&amp;action=edit&amp;amp;section=2" title="Edit section: Earlier numeral systems"&gt;edit&lt;/a&gt;]&lt;/span&gt; &lt;span class="mw-headline"&gt;Earlier numeral systems&lt;/span&gt;&lt;/h2&gt; &lt;p&gt;Before the invention of the &lt;a href="http://en.wikipedia.org/wiki/Chinese_abacus" title="Chinese abacus"&gt;Chinese abacus&lt;/a&gt;, &lt;a href="http://en.wikipedia.org/wiki/Counting_rods" title="Counting rods"&gt;counting rods&lt;/a&gt;, other symbolic methods such as &lt;a href="http://en.wikipedia.org/wiki/Tally_stick" title="Tally stick"&gt;tally sticks&lt;/a&gt;, notches on bones, and the like, were undoubtedly used as a tool for counting and calculation.&lt;/p&gt; &lt;p&gt;&lt;a name="Babylonian_abacus" id="Babylonian_abacus"&gt;&lt;/a&gt;&lt;/p&gt; &lt;h2&gt;&lt;span class="editsection"&gt;[&lt;a href="http://en.wikipedia.org/w/index.php?title=Abacus&amp;action=edit&amp;amp;section=3" title="Edit section: Babylonian abacus"&gt;edit&lt;/a&gt;]&lt;/span&gt; &lt;span class="mw-headline"&gt;Babylonian abacus&lt;/span&gt;&lt;/h2&gt; &lt;p&gt;A tablet found on the Greek island &lt;a href="http://en.wikipedia.org/wiki/Salamis_Island" title="Salamis Island"&gt;Salamis&lt;/a&gt; in 1846 dates back to 300 BCE making it the oldest counting board discovered so far. It was originally thought to be a gaming board.&lt;/p&gt; &lt;p&gt;Its construction is a slab of white marble measuring 149 cm in length, 75 cm in width and 4.5 cm thick, on which are 5 groups of markings. In the center of the tablet are a set of 5 parallel lines equally divided by a vertical line, capped with a semi-circle at the intersection of the bottom-most horizontal line and the single vertical line. Below these lines is a wide space with a horizontal crack dividing it. Below this crack is another group of eleven parallel lines, again divided into two sections by a line perpendicular to them but with the semi-circle at the top of the intersection; the third, sixth and ninth of these lines are marked with a cross where they intersect with the vertical line&lt;/p&gt; &lt;p&gt;&lt;a name="Roman_abacus" id="Roman_abacus"&gt;&lt;/a&gt;&lt;/p&gt; &lt;h2&gt;&lt;span class="editsection"&gt;[&lt;a href="http://en.wikipedia.org/w/index.php?title=Abacus&amp;action=edit&amp;amp;section=4" title="Edit section: Roman abacus"&gt;edit&lt;/a&gt;]&lt;/span&gt; &lt;span class="mw-headline"&gt;Roman abacus&lt;/span&gt;&lt;/h2&gt; &lt;dl&gt;&lt;dd&gt; &lt;div class="noprint"&gt;&lt;i&gt;Main article: &lt;a href="http://en.wikipedia.org/wiki/Roman_abacus" title="Roman abacus"&gt;Roman abacus&lt;/a&gt;&lt;/i&gt;&lt;/div&gt; &lt;/dd&gt;&lt;/dl&gt; &lt;div class="thumb tright"&gt; &lt;div class="thumbinner" style="width: 182px;"&gt;&lt;a href="http://en.wikipedia.org/wiki/Image:RomanAbacusRecon.jpg" class="internal" title="Reconstructed Roman Abacus"&gt;&lt;img src="http://upload.wikimedia.org/wikipedia/commons/thumb/b/b5/RomanAbacusRecon.jpg/180px-RomanAbacusRecon.jpg" alt="Reconstructed Roman Abacus" longdesc="/wiki/Image:RomanAbacusRecon.jpg" class="thumbimage" height="143" width="180" /&gt;&lt;/a&gt; &lt;div class="thumbcaption"&gt; &lt;div class="magnify" style="float: right;"&gt;&lt;a href="http://en.wikipedia.org/wiki/Image:RomanAbacusRecon.jpg" class="internal" title="Enlarge"&gt;&lt;img src="http://en.wikipedia.org/skins-1.5/common/images/magnify-clip.png" alt="" height="11" width="15" /&gt;&lt;/a&gt;&lt;/div&gt; Reconstructed Roman Abacus&lt;/div&gt; &lt;/div&gt; &lt;/div&gt; &lt;p&gt;The &lt;a href="http://en.wikipedia.org/wiki/Roman_Empire" title="Roman Empire"&gt;Late Empire&lt;/a&gt; &lt;a href="http://en.wikipedia.org/wiki/Roman_abacus" title="Roman abacus"&gt;Roman abacus&lt;/a&gt; shown here in reconstruction contains eight long grooves containing up to five beads in each and eight shorter grooves having either one or no beads in each.&lt;/p&gt; &lt;p&gt;The groove marked I indicates units, X tens, and so on up to millions. The beads in the shorter grooves denote fives—five units, five tens, &lt;i&gt;etc.&lt;/i&gt;, essentially in a &lt;a href="http://en.wikipedia.org/wiki/Bi-quinary_coded_decimal" title="Bi-quinary coded decimal"&gt;bi-quinary coded decimal&lt;/a&gt; system, obviously related to the &lt;a href="http://en.wikipedia.org/wiki/Roman_numerals" title="Roman numerals"&gt;Roman numerals&lt;/a&gt;. The short grooves on the right may have been used for marking Roman ounces.&lt;/p&gt; &lt;p&gt;Computations are made by means of beads which would probably have been slid up and down the grooves to indicate the value of each column.&lt;/p&gt; &lt;p&gt;&lt;a name="Chinese_abacus" id="Chinese_abacus"&gt;&lt;/a&gt;&lt;/p&gt; &lt;h2&gt;&lt;span class="editsection"&gt;[&lt;a href="http://en.wikipedia.org/w/index.php?title=Abacus&amp;action=edit&amp;amp;section=5" title="Edit section: Chinese abacus"&gt;edit&lt;/a&gt;]&lt;/span&gt; &lt;span class="mw-headline"&gt;Chinese abacus&lt;/span&gt;&lt;/h2&gt; &lt;dl&gt;&lt;dd&gt; &lt;div class="noprint"&gt;&lt;i&gt;Main article: &lt;a href="http://en.wikipedia.org/wiki/Chinese_abacus" title="Chinese abacus"&gt;Chinese abacus&lt;/a&gt;&lt;/i&gt;&lt;/div&gt; &lt;/dd&gt;&lt;/dl&gt; &lt;p&gt;Before the invetion fo Chinese abacus,they used &lt;a href="http://en.wikipedia.org/wiki/Counting_rods" title="Counting rods"&gt;Counting rods&lt;/a&gt; as calculation tool.&lt;/p&gt; &lt;p&gt;The &lt;b&gt;suanpan&lt;/b&gt; (&lt;a href="http://en.wikipedia.org/wiki/Simplified_Chinese_character" title="Simplified Chinese character"&gt;Simplified Chinese&lt;/a&gt;: &lt;span lang="zh-Hans" lang="zh-Hans"&gt;算盘&lt;/span&gt;; &lt;a href="http://en.wikipedia.org/wiki/Traditional_Chinese_character" title="Traditional Chinese character"&gt;Traditional Chinese&lt;/a&gt;: &lt;span lang="zh-Hant" lang="zh-Hant"&gt;算盤&lt;/span&gt;; &lt;a href="http://en.wikipedia.org/wiki/Pinyin" title="Pinyin"&gt;pinyin&lt;/a&gt;: &lt;span lang="pny" lang="pny"&gt;suànpán&lt;/span&gt;, &lt;i&gt;lit.&lt;/i&gt; "Counting tray") of the &lt;a href="http://en.wikipedia.org/wiki/China" title="China"&gt;Chinese&lt;/a&gt; is similar to the Roman abacus in principle, though has a different construction, and it was designed to do both decimal and hexadecimal arithmetics.&lt;/p&gt; &lt;div class="floatright"&gt;&lt;span&gt;&lt;a href="http://en.wikipedia.org/wiki/Image:Abacus_6.png" class="image" title="Chinese abacus, the suanpan"&gt;&lt;img src="http://upload.wikimedia.org/wikipedia/commons/a/af/Abacus_6.png" alt="Chinese abacus, the suanpan" longdesc="/wiki/Image:Abacus_6.png" height="145" width="247" /&gt;&lt;/a&gt;&lt;/span&gt;&lt;/div&gt; &lt;p&gt;The Chinese abacus is typically around 20 cm (8 inches) tall and it comes in various widths depending on the application. It usually has more than seven rods. There are two beads on each rod in the upper deck and five beads each in the bottom for both decimal and hexadecimal computation. The beads are usually rounded and made of a hard wood. The beads are counted by moving them up or down towards the beam. The abacus can be reset to the starting position instantly by a quick jerk along the horizontal axis to spin all the beads away from the horizontal beam at the center.&lt;/p&gt; &lt;div class="thumb tleft"&gt; &lt;div class="thumbinner" style="width: 182px;"&gt;&lt;a href="http://en.wikipedia.org/wiki/Image:Abacus_01.gif" class="internal" title="A Chinese bookkeeper using an abacus to calculate his accounts"&gt;&lt;img src="http://upload.wikimedia.org/wikipedia/en/thumb/4/4d/Abacus_01.gif/180px-Abacus_01.gif" alt="A Chinese bookkeeper using an abacus to calculate his accounts" longdesc="/wiki/Image:Abacus_01.gif" class="thumbimage" height="155" width="180" /&gt;&lt;/a&gt; &lt;div class="thumbcaption"&gt; &lt;div class="magnify" style="float: right;"&gt;&lt;a href="http://en.wikipedia.org/wiki/Image:Abacus_01.gif" class="internal" title="Enlarge"&gt;&lt;img src="http://en.wikipedia.org/skins-1.5/common/images/magnify-clip.png" alt="" height="11" width="15" /&gt;&lt;/a&gt;&lt;/div&gt; A Chinese bookkeeper using an abacus to calculate his accounts&lt;/div&gt; &lt;/div&gt; &lt;/div&gt; &lt;p&gt;Chinese abaci can be used for functions other than counting. Unlike the simple counting board used in elementary schools, very efficient &lt;b&gt;suanpan&lt;/b&gt; techniques have been developed to do &lt;a href="http://en.wikipedia.org/wiki/Multiplication" title="Multiplication"&gt;multiplication&lt;/a&gt;, &lt;a href="http://en.wikipedia.org/wiki/Division_%28mathematics%29" title="Division (mathematics)"&gt;division&lt;/a&gt;, &lt;a href="http://en.wikipedia.org/wiki/Addition" title="Addition"&gt;addition&lt;/a&gt;, &lt;a href="http://en.wikipedia.org/wiki/Subtraction" title="Subtraction"&gt;subtraction&lt;/a&gt;, &lt;a href="http://en.wikipedia.org/wiki/Square_root" title="Square root"&gt;square root&lt;/a&gt; and &lt;a href="http://en.wikipedia.org/wiki/Cube_root" title="Cube root"&gt;cube root&lt;/a&gt; operations at high speed.&lt;/p&gt; &lt;p&gt;&lt;b&gt;Bead arithmetic&lt;/b&gt; is the calculating technique used with various types of abaci, in particular the Chinese abacus. The similarity of the Roman abacus to the Chinese one suggests that one could have inspired the other, as there is some evidence of a trade relationship between the Roman Empire and China. However, no direct connection can be demonstrated, and the similarity of the abaci may be coincidental, both ultimately arising from counting with five fingers per hand. Where the Roman model (like most modern Japanese) has 4 plus 1 bead per decimal place, the standard Chinese abacus has 5 plus 2, allowing less challenging arithmetic algorithms, and also allowing use with a hexadecimal numeral system. Instead of running on wires as in the Chinese and Japanese models, the beads of Roman model runs in groves, presumably making arithmetic calculations much slower. Possibly the Roman abacus was used primarily for simple counting.&lt;sup class="noprint"&gt;[&lt;i&gt;&lt;a href="http://en.wikipedia.org/wiki/Wikipedia:Disputed_statement" title="Wikipedia:Disputed statement"&gt;&lt;span title="The material in the vicinity of this tag may not be factual or accurate." style="white-space: nowrap;"&gt;dubious&lt;/span&gt;&lt;/a&gt; &lt;span class="metadata"&gt;— see &lt;a href="http://en.wikipedia.org/wiki/Talk:Abacus#Disputed" title="Talk:Abacus"&gt;talk page&lt;/a&gt;&lt;/span&gt;&lt;/i&gt;]&lt;/sup&gt;In a contest between the Chinese abacus and the electric calculator on November 12, 1946, the abacus won 4 to 1.&lt;/p&gt; &lt;p&gt;&lt;a name="Japanese_abacus" id="Japanese_abacus"&gt;&lt;/a&gt;&lt;/p&gt; &lt;h2&gt;&lt;span class="editsection"&gt;[&lt;a href="http://en.wikipedia.org/w/index.php?title=Abacus&amp;action=edit&amp;amp;section=6" title="Edit section: Japanese abacus"&gt;edit&lt;/a&gt;]&lt;/span&gt; &lt;span class="mw-headline"&gt;Japanese abacus&lt;/span&gt;&lt;/h2&gt; &lt;div class="thumb tright"&gt; &lt;div class="thumbinner" style="width: 402px;"&gt;&lt;a href="http://en.wikipedia.org/wiki/Image:Soroban.JPG" class="internal" title="Japanese soroban"&gt;&lt;img src="http://upload.wikimedia.org/wikipedia/commons/thumb/7/72/Soroban.JPG/400px-Soroban.JPG" alt="Japanese soroban" longdesc="/wiki/Image:Soroban.JPG" class="thumbimage" height="117" width="400" /&gt;&lt;/a&gt; &lt;div class="thumbcaption"&gt; &lt;div class="magnify" style="float: right;"&gt;&lt;a href="http://en.wikipedia.org/wiki/Image:Soroban.JPG" class="internal" title="Enlarge"&gt;&lt;img src="http://en.wikipedia.org/skins-1.5/common/images/magnify-clip.png" alt="" height="11" width="15" /&gt;&lt;/a&gt;&lt;/div&gt; Japanese soroban&lt;/div&gt; &lt;/div&gt; &lt;/div&gt; &lt;p&gt;Soroban (&lt;span lang="ja" lang="ja"&gt;算盤&lt;/span&gt;, lit. "Counting tray") is a Japanese abacus, modified Chinese abacus (&lt;span lang="zh" lang="zh"&gt;算盤&lt;/span&gt;). Traditional Chinese weighing units used a hexadecimal system which necessitated two beads on the upper deck. The Japanese first eliminated one bead from the upper deck and later another bead from the lower deck in each column of the Chinese abacus, making the Japanese abacus purely for the decimal system. The Japanese also eliminated the use of the Qiuchu (Chinese division table). However, the Chinese division table was still used when there were 5 lower beads. There came the debate of the multiplication table versus the division table, with the school of multiplication table prevailing in the 1920s. The rods (number of digits) usually increase to 21, 23, 27 or even 31, thus allowing calculation for more digits or representations of several different numbers at the same time.&lt;/p&gt; &lt;p&gt;Soroban is taught in primary schools as a part of lessons in mathematics because the decimal numerical system can be demonstrated visually. When teaching the soroban, a song-like instruction is given by the teacher. The soroban is about 8 cm (3 inches) tall. The beads on a soroban are usually shaped as a double cone (bi-cone) to facilitate ease of movement. Often, primary school students may bring along with them two sorobans, one with 1 upper bead and 5 lower beads, the other with 1 upper bead with 4 lower beads. Despite the advent of handheld calculators, some parents send their children to private tutors to learn soroban because proficiency in soroban calculation can be easily converted to &lt;a href="http://en.wikipedia.org/wiki/Mental_arithmetic" title="Mental arithmetic"&gt;mental arithmetic&lt;/a&gt; at a highly advanced level.&lt;/p&gt; &lt;p&gt;&lt;a name="Russian_abacus" id="Russian_abacus"&gt;&lt;/a&gt;&lt;/p&gt; &lt;h2&gt;&lt;span class="editsection"&gt;[&lt;a href="http://en.wikipedia.org/w/index.php?title=Abacus&amp;action=edit&amp;amp;section=7" title="Edit section: Russian abacus"&gt;edit&lt;/a&gt;]&lt;/span&gt; &lt;span class="mw-headline"&gt;Russian abacus&lt;/span&gt;&lt;/h2&gt; &lt;div class="thumb tright"&gt; &lt;div class="thumbinner" style="width: 182px;"&gt;&lt;a href="http://en.wikipedia.org/wiki/Image:Schoty_abacus.jpg" class="internal" title="Russian abacus"&gt;&lt;img src="http://upload.wikimedia.org/wikipedia/commons/thumb/7/7a/Schoty_abacus.jpg/180px-Schoty_abacus.jpg" alt="Russian abacus" longdesc="/wiki/Image:Schoty_abacus.jpg" class="thumbimage" height="208" width="180" /&gt;&lt;/a&gt; &lt;div class="thumbcaption"&gt; &lt;div class="magnify" style="float: right;"&gt;&lt;a href="http://en.wikipedia.org/wiki/Image:Schoty_abacus.jpg" class="internal" title="Enlarge"&gt;&lt;img src="http://en.wikipedia.org/skins-1.5/common/images/magnify-clip.png" alt="" height="11" width="15" /&gt;&lt;/a&gt;&lt;/div&gt; Russian abacus&lt;/div&gt; &lt;/div&gt; &lt;/div&gt; &lt;p&gt;The Russian abacus, the &lt;i&gt;schoty&lt;/i&gt; (счёты), usually has a single slanted deck, with ten beads on each wire (except one wire which has four beads, for quarter-ruble fractions). This wire is usually near the user. (Older models have another 4-bead wire for quarter-kopeks, which were minted until 1916.) The Russian abacus is often used vertically, with wires from left to right in the manner of a book. The wires are usually bowed to bulge upward in the center, in order to keep the beads pinned to either of the two sides. It is cleared when all the beads are moved to the right. During manipulation, beads are moved to the left. For easy viewing, the middle 2 beads on each wire (the 5th and 6th bead) usually have a colour different from the other 8 beads. Likewise, the left bead of the thousands wire (and the million wire, if present) may have a different color.&lt;/p&gt; &lt;p&gt;The Russian abacus is still in use today in shops and markets throughout the &lt;a href="http://en.wikipedia.org/wiki/Commonwealth_of_Independent_States" title="Commonwealth of Independent States"&gt;former Soviet Union&lt;/a&gt;, although it is no longer taught in most schools.&lt;/p&gt; &lt;p&gt;&lt;a name="School_abacus" id="School_abacus"&gt;&lt;/a&gt;&lt;/p&gt; &lt;h2&gt;&lt;span class="editsection"&gt;[&lt;a href="http://en.wikipedia.org/w/index.php?title=Abacus&amp;action=edit&amp;amp;section=8" title="Edit section: School abacus"&gt;edit&lt;/a&gt;]&lt;/span&gt; &lt;span class="mw-headline"&gt;School abacus&lt;/span&gt;&lt;/h2&gt; &lt;div class="thumb tleft"&gt; &lt;div class="thumbinner" style="width: 152px;"&gt;&lt;a href="http://en.wikipedia.org/wiki/Image:Kugleramme.jpg" class="internal" title="School abacus used in Danish elementary school. Early 20th century."&gt;&lt;img src="http://upload.wikimedia.org/wikipedia/commons/thumb/a/a0/Kugleramme.jpg/150px-Kugleramme.jpg" alt="School abacus used in Danish elementary school. Early 20th century." longdesc="/wiki/Image:Kugleramme.jpg" class="thumbimage" height="161" width="150" /&gt;&lt;/a&gt; &lt;div class="thumbcaption"&gt; &lt;div class="magnify" style="float: right;"&gt;&lt;a href="http://en.wikipedia.org/wiki/Image:Kugleramme.jpg" class="internal" title="Enlarge"&gt;&lt;img src="http://en.wikipedia.org/skins-1.5/common/images/magnify-clip.png" alt="" height="11" width="15" /&gt;&lt;/a&gt;&lt;/div&gt; School abacus used in Danish elementary school. Early 20th century.&lt;/div&gt; &lt;/div&gt; &lt;/div&gt; &lt;p&gt;Around the world, abaci have been used in pre-schools and elementary schools as an aid in teaching the &lt;a href="http://en.wikipedia.org/wiki/Numeral_system" title="Numeral system"&gt;numeral system&lt;/a&gt; and &lt;a href="http://en.wikipedia.org/wiki/Arithmetic" title="Arithmetic"&gt;arithmetic&lt;/a&gt;. In Western countries, a &lt;b&gt;bead frame&lt;/b&gt; similar to the Russian abacus but with straight wires has been common (see image). It is still often seen as a plastic or wooden toy.&lt;/p&gt; &lt;p&gt;The type of abacus shown here is often used to represent numbers without the use of place value. Each bead and each wire has the same value and used in this way it can represent numbers up to 100.&lt;/p&gt; &lt;p&gt;The most significant educational advantage of using an abacus, rather than loose beads or counters, when practicing counting and simple addition is that it gives the student an awareness of the groupings of 10 which are the foundation of our number system. Although adults take this base 10 structure for granted, it is actually difficult to learn. Many 6 year olds can count to 100 by rote with only a slight awareness of the patterns involved.&lt;/p&gt; &lt;p&gt;&lt;a name="Uses_by_the_blind" id="Uses_by_the_blind"&gt;&lt;/a&gt;&lt;/p&gt; &lt;h2&gt;&lt;span class="editsection"&gt;[&lt;a href="http://en.wikipedia.org/w/index.php?title=Abacus&amp;action=edit&amp;amp;section=9" title="Edit section: Uses by the blind"&gt;edit&lt;/a&gt;]&lt;/span&gt; &lt;span class="mw-headline"&gt;Uses by the blind&lt;/span&gt;&lt;/h2&gt; &lt;p&gt;Abaci are still commonly used by individuals who are &lt;a href="http://en.wikipedia.org/wiki/Blindness" title="Blindness"&gt;blind&lt;/a&gt;. They use an abacus to perform the mathematical functions &lt;a href="http://en.wikipedia.org/wiki/Multiplication" title="Multiplication"&gt;multiplication&lt;/a&gt;, &lt;a href="http://en.wikipedia.org/wiki/Division_%28mathematics%29" title="Division (mathematics)"&gt;division&lt;/a&gt;, &lt;a href="http://en.wikipedia.org/wiki/Addition" title="Addition"&gt;addition&lt;/a&gt;, &lt;a href="http://en.wikipedia.org/wiki/Subtraction" title="Subtraction"&gt;subtraction&lt;/a&gt;, &lt;a href="http://en.wikipedia.org/wiki/Square_root" title="Square root"&gt;square root&lt;/a&gt; and &lt;a href="http://en.wikipedia.org/wiki/Cubic_root" title="Cubic root"&gt;cubic root&lt;/a&gt;. A piece of soft fabric or rubber is placed behind the beads so that they do not move inadvertently. This keeps the beads in place while the user feels or manipulates them.&lt;/p&gt; &lt;p&gt;Recently, abaci have been replaced to some extent by electronic calculators with speech, but only in those countries where they are easily available and affordable. However, even when they are available, many blind people still prefer to use the abacus. In addition, many blind children educated at schools for the blind are required to learn how to use the abacus before they are permitted the use of a talking calculator or similar device. This can be compared to sighted children being required to learn how to solve mathematical problems on paper before they are allowed the use of a calculator, although using a braille-writer is comparable.&lt;/p&gt; &lt;p&gt;&lt;a name="Native_American_abaci" id="Native_American_abaci"&gt;&lt;/a&gt;&lt;/p&gt; &lt;h2&gt;&lt;span class="editsection"&gt;[&lt;a href="http://en.wikipedia.org/w/index.php?title=Abacus&amp;action=edit&amp;amp;section=10" title="Edit section: Native American abaci"&gt;edit&lt;/a&gt;]&lt;/span&gt; &lt;span class="mw-headline"&gt;Native American abaci&lt;/span&gt;&lt;/h2&gt; &lt;div class="notice metadata plainlinks" id="stub"&gt; &lt;table style="background: transparent none repeat scroll 0% 50%; width: 100%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial;"&gt; &lt;tbody&gt;&lt;tr&gt; &lt;td width="40"&gt;&lt;a href="http://en.wikipedia.org/wiki/Image:Wiki_letter_w.svg" class="image" title=""&gt;&lt;img src="http://upload.wikimedia.org/wikipedia/commons/thumb/6/6c/Wiki_letter_w.svg/35px-Wiki_letter_w.svg.png" alt="" longdesc="/wiki/Image:Wiki_letter_w.svg" height="35" width="35" /&gt;&lt;/a&gt;&lt;/td&gt; &lt;td&gt;&lt;i&gt;This section is a &lt;a href="http://en.wikipedia.org/wiki/Wikipedia:Stub" title="Wikipedia:Stub"&gt;stub&lt;/a&gt;. You can help by &lt;a href="http://en.wikipedia.org/w/index.php?title=Abacus&amp;action=edit" class="external text" title="http://en.wikipedia.org/w/index.php?title=Abacus&amp;amp;action=edit"&gt;expanding it&lt;/a&gt;.&lt;/i&gt;&lt;/td&gt; &lt;/tr&gt; &lt;/tbody&gt;&lt;/table&gt; &lt;/div&gt; &lt;div class="thumb tright"&gt; &lt;div class="thumbinner" style="width: 252px;"&gt;&lt;a href="http://en.wikipedia.org/wiki/Image:Quipu.png" class="internal" title="Representation of an Inca quipu"&gt;&lt;img src="http://upload.wikimedia.org/wikipedia/commons/thumb/c/cc/Quipu.png/250px-Quipu.png" alt="Representation of an Inca quipu" longdesc="/wiki/Image:Quipu.png" class="thumbimage" height="375" width="250" /&gt;&lt;/a&gt; &lt;div class="thumbcaption"&gt; &lt;div class="magnify" style="float: right;"&gt;&lt;a href="http://en.wikipedia.org/wiki/Image:Quipu.png" class="internal" title="Enlarge"&gt;&lt;img src="http://en.wikipedia.org/skins-1.5/common/images/magnify-clip.png" alt="" height="11" width="15" /&gt;&lt;/a&gt;&lt;/div&gt; Representation of an &lt;a href="http://en.wikipedia.org/wiki/Inca" title="Inca"&gt;Inca&lt;/a&gt; &lt;a href="http://en.wikipedia.org/wiki/Quipu" title="Quipu"&gt;quipu&lt;/a&gt;&lt;/div&gt; &lt;/div&gt; &lt;/div&gt; &lt;p&gt;Some sources mention the use of an abacus called a &lt;i&gt;&lt;b&gt;nepohualtzintzin&lt;/b&gt;&lt;/i&gt; in ancient Aztec culture. This Mesoamerican abacus uses the 5-digit base-20 system.&lt;/p&gt; &lt;p&gt;The &lt;a href="http://en.wikipedia.org/wiki/Quipu" title="Quipu"&gt;quipu&lt;/a&gt; of the &lt;a href="http://en.wikipedia.org/wiki/Inca" title="Inca"&gt;Incas&lt;/a&gt; was a system of knotted cords used to record numerical data (some think that it may have been used as an alphabet tool) - like advanced &lt;a href="http://en.wikipedia.org/wiki/Tally_stick" title="Tally stick"&gt;tally sticks&lt;/a&gt;—but was not used to perform calculations. Calculations were carried out using a &lt;a href="http://en.wikipedia.org/w/index.php?title=Yupana&amp;action=edit" class="new" title="Yupana"&gt;yupana&lt;/a&gt; (&lt;a href="http://en.wikipedia.org/wiki/Quechua" title="Quechua"&gt;quechua&lt;/a&gt; for "counting tool"; see figure) which was still in use after the conquest of Peru. The working principle of a yupana was unknown up to very recent years (2001) when an explanation of the mathematical basis of these instruments has been proposed: comparing the form of several yupanas, it appears that calculations were based using the &lt;a href="http://en.wikipedia.org/wiki/Fibonacci_sequence" title="Fibonacci sequence"&gt;Fibonacci sequence&lt;/a&gt; 1,1,2,3,5 and powers of 10, 20 and 40 as place values for the different fields in the instrument. The Fibonacci sequence is useful to keep the number of grains within any one field at minimum.&lt;/p&gt; &lt;p&gt;&lt;a name="See_also" id="See_also"&gt;&lt;/a&gt;&lt;/p&gt; &lt;h2&gt;&lt;span class="editsection"&gt;[&lt;a href="http://en.wikipedia.org/w/index.php?title=Abacus&amp;action=edit&amp;amp;section=11" title="Edit section: See also"&gt;edit&lt;/a&gt;]&lt;/span&gt; &lt;span class="mw-headline"&gt;See also&lt;/span&gt;&lt;/h2&gt; &lt;ul&gt;&lt;li&gt;&lt;a href="http://en.wikipedia.org/wiki/Chisenbop" title="Chisenbop"&gt;Chisenbop&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a href="http://en.wikipedia.org/wiki/Slide_rule" title="Slide rule"&gt;Slide rule&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a href="http://en.wikipedia.org/wiki/Napier%27s_bones" title="Napier's bones"&gt;Napier's bones&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a href="http://en.wikipedia.org/wiki/History_of_computing" title="History of computing"&gt;History of computing&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a href="http://en.wikipedia.org/wiki/History_of_computing_hardware" title="History of computing hardware"&gt;History of computing hardware&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a href="http://en.wikipedia.org/wiki/Abacus_logic" title="Abacus logic"&gt;Abacus logic&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a href="http://en.wikipedia.org/wiki/Register_machine" title="Register machine"&gt;Register machine&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a href="http://en.wikipedia.org/wiki/Abacus_system" title="Abacus system"&gt;Mental abacus&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a href="http://en.wikipedia.org/wiki/Positional_notation" title="Positional notation"&gt;Positional notation&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a href="http://en.wikipedia.org/wiki/Jeton" title="Jeton"&gt;Jeton&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt; &lt;p&gt;&lt;a name="Further_reading" id="Further_reading"&gt;&lt;/a&gt;&lt;/p&gt; &lt;h2&gt;&lt;span class="editsection"&gt;[&lt;a href="http://en.wikipedia.org/w/index.php?title=Abacus&amp;action=edit&amp;amp;section=12" title="Edit section: Further reading"&gt;edit&lt;/a&gt;]&lt;/span&gt; &lt;span class="mw-headline"&gt;Further reading&lt;/span&gt;&lt;/h2&gt; &lt;ul&gt;&lt;li&gt;&lt;cite class="book" style="font-style: normal;" id="Reference-Pullan-1968"&gt;Pullan, J. M. (1968). &lt;i&gt;The History of the Abacus&lt;/i&gt;. London: Books That Matter. &lt;a href="http://en.wikipedia.org/w/index.php?title=Special:Booksources&amp;isbn=0090894103" class="internal"&gt;ISBN 0-09-089410-3&lt;/a&gt;.&lt;/cite&gt;&lt;span class="Z3988" title="ctx_ver=Z39.88-2004&amp;amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;amp;rft.btitle=The+History+of+the+Abacus&amp;rft.title=The+History+of+the+Abacus&amp;amp;rft.aulast=Pullan&amp;rft.aufirst=J.+M.&amp;amp;rft.date=1968&amp;rft.pub=Books+That+Matter&amp;amp;rft.place=London&amp;rft.isbn=0-09-089410-3"&gt; &lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;cite class="book" style="font-style: normal;" id="Reference-Menninger-1969"&gt;Menninger, Karl W. (1969). &lt;i&gt;Number Words and Number Symbols: A Cultural History of Numbers&lt;/i&gt;. MIT Press. &lt;a href="http://en.wikipedia.org/w/index.php?title=Special:Booksources&amp;isbn=0262130408" class="internal"&gt;ISBN 0-262-13040-8&lt;/a&gt;.&lt;/cite&gt;&lt;span class="Z3988" title="ctx_ver=Z39.88-2004&amp;amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;amp;rft.btitle=Number+Words+and+Number+Symbols%3A+A+Cultural+History+of+Numbers&amp;rft.title=Number+Words+and+Number+Symbols%3A+A+Cultural+History+of+Numbers&amp;amp;rft.aulast=Menninger&amp;rft.aufirst=Karl+W.&amp;amp;rft.date=1969&amp;rft.pub=MIT+Press&amp;amp;rft.isbn=0-262-13040-8"&gt; &lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;cite class="book" style="font-style: normal;" id="Reference-Kojima-1954"&gt;Kojima, Takashi (1954). &lt;i&gt;The Japanese Abacus: its Use and Theory&lt;/i&gt;. Tokyo: Charles E. Tuttle. &lt;a href="http://en.wikipedia.org/w/index.php?title=Special:Booksources&amp;isbn=0804802785" class="internal"&gt;ISBN 0-8048-0278-5&lt;/a&gt;.&lt;/cite&gt;&lt;span class="Z3988" title="ctx_ver=Z39.88-2004&amp;amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;amp;rft.btitle=The+Japanese+Abacus%3A+its+Use+and+Theory&amp;rft.title=The+Japanese+Abacus%3A+its+Use+and+Theory&amp;amp;rft.aulast=Kojima&amp;rft.aufirst=Takashi&amp;amp;rft.date=1954&amp;rft.pub=Charles+E.+Tuttle&amp;amp;rft.place=Tokyo&amp;rft.isbn=0-8048-0278-5"&gt; &lt;/span&gt;&lt;/li&gt;&lt;/ul&gt; &lt;p&gt;&lt;a name="External_links" id="External_links"&gt;&lt;/a&gt;&lt;/p&gt; &lt;h2&gt;&lt;span class="editsection"&gt;[&lt;a href="http://en.wikipedia.org/w/index.php?title=Abacus&amp;action=edit&amp;amp;section=13" title="Edit section: External links"&gt;edit&lt;/a&gt;]&lt;/span&gt; &lt;span class="mw-headline"&gt;External links&lt;/span&gt;&lt;/h2&gt; &lt;div class="infobox sisterproject" style="font-size: 90%;"&gt;Find more information on &lt;b&gt;Abacus&lt;/b&gt; by searching Wikipedia's &lt;a href="http://en.wikipedia.org/wiki/Wikipedia:Sister_projects" title="Wikipedia:Sister projects"&gt;sister projects&lt;/a&gt;:&lt;br /&gt;&lt;p&gt;&lt;a href="http://en.wikipedia.org/wiki/Image:Wiktionary-logo-en.png" class="image" title=" "&gt;&lt;img src="http://upload.wikimedia.org/wikipedia/commons/thumb/b/b4/Wiktionary-logo-en.png/25px-Wiktionary-logo-en.png" alt=" " longdesc="/wiki/Image:Wiktionary-logo-en.png" height="27" width="25" /&gt;&lt;/a&gt; &lt;a href="http://en.wiktionary.org/wiki/Special:Search/Abacus" class="extiw" title="wiktionary:Special:Search/Abacus"&gt;Dictionary definitions&lt;/a&gt; from Wiktionary&lt;br /&gt;&lt;a href="http://en.wikipedia.org/wiki/Image:Wikibooks-logo.svg" class="image" title=" "&gt;&lt;img src="http://upload.wikimedia.org/wikipedia/commons/thumb/f/fa/Wikibooks-logo.svg/25px-Wikibooks-logo.svg.png" alt=" " longdesc="/wiki/Image:Wikibooks-logo.svg" height="25" width="25" /&gt;&lt;/a&gt; &lt;a href="http://en.wikibooks.org/wiki/Special:Search/Abacus" class="extiw" title="wikibooks:Special:Search/Abacus"&gt;Textbooks&lt;/a&gt; from Wikibooks&lt;br /&gt;&lt;a href="http://en.wikipedia.org/wiki/Image:Wikiquote-logo.svg" class="image" title=" "&gt;&lt;img src="http://upload.wikimedia.org/wikipedia/commons/thumb/f/fa/Wikiquote-logo.svg/25px-Wikiquote-logo.svg.png" alt=" " longdesc="/wiki/Image:Wikiquote-logo.svg" height="30" width="25" /&gt;&lt;/a&gt; &lt;a href="http://en.wikiquote.org/wiki/Special:Search/Abacus" class="extiw" title="wikiquote:Special:Search/Abacus"&gt;Quotations&lt;/a&gt; from Wikiquote&lt;br /&gt;&lt;a href="http://en.wikipedia.org/wiki/Image:Wikisource-logo.svg" class="image" title=" "&gt;&lt;img src="http://upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Wikisource-logo.svg/25px-Wikisource-logo.svg.png" alt=" " longdesc="/wiki/Image:Wikisource-logo.svg" height="26" width="25" /&gt;&lt;/a&gt; &lt;a href="http://en.wikisource.org/wiki/Special:Search/Abacus" class="extiw" title="wikisource:Special:Search/Abacus"&gt;Source texts&lt;/a&gt; from Wikisource&lt;br /&gt;&lt;a href="http://en.wikipedia.org/wiki/Image:Commons-logo.svg" class="image" title=" "&gt;&lt;img src="http://upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/25px-Commons-logo.svg.png" alt=" " longdesc="/wiki/Image:Commons-logo.svg" height="34" width="25" /&gt;&lt;/a&gt; &lt;a href="http://commons.wikimedia.org/wiki/Special:Search/Abacus" class="extiw" title="commons:Special:Search/Abacus"&gt;Images and media&lt;/a&gt; from Commons&lt;br /&gt;&lt;a href="http://en.wikipedia.org/wiki/Image:WikiNews-Logo.svg" class="image" title=" "&gt;&lt;img src="http://upload.wikimedia.org/wikipedia/commons/thumb/2/28/WikiNews-Logo.svg/25px-WikiNews-Logo.svg.png" alt=" " longdesc="/wiki/Image:WikiNews-Logo.svg" height="14" width="25" /&gt;&lt;/a&gt; &lt;a href="http://en.wikinews.org/wiki/Special:Search/Abacus" class="extiw" title="wikinews:Special:Search/Abacus"&gt;News stories&lt;/a&gt; from Wikinews&lt;br /&gt;&lt;a href="http://en.wikipedia.org/wiki/Image:Wikiversity-logo-Snorky.svg" class="image" title=" "&gt;&lt;img src="http://upload.wikimedia.org/wikipedia/commons/thumb/3/34/Wikiversity-logo-Snorky.svg/25px-Wikiversity-logo-Snorky.svg.png" alt=" " longdesc="/wiki/Image:Wikiversity-logo-Snorky.svg" height="23" width="25" /&gt;&lt;/a&gt; &lt;a href="http://en.wikiversity.org/wiki/Special:Search/Abacus" class="extiw" title="v:Special:Search/Abacus"&gt;Learning resources&lt;/a&gt; from Wikiversity&lt;br /&gt;&lt;/p&gt; &lt;/div&gt; &lt;p&gt;&lt;a name="Tutorials" id="Tutorials"&gt;&lt;/a&gt;&lt;/p&gt; &lt;h3&gt;&lt;span class="editsection"&gt;[&lt;a href="http://en.wikipedia.org/w/index.php?title=Abacus&amp;action=edit&amp;amp;section=14" title="Edit section: Tutorials"&gt;edit&lt;/a&gt;]&lt;/span&gt; &lt;span class="mw-headline"&gt;Tutorials&lt;/span&gt;&lt;/h3&gt; &lt;ul&gt;&lt;li&gt;&lt;a href="http://www.minmm.com/minc/show_classes.php?id=273" class="external text" title="http://www.minmm.com/minc/show_classes.php?id=273"&gt;Min Multimedia&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a href="http://www.sungwh.freeserve.co.uk/sapienti/abacus01.htm" class="external text" title="http://www.sungwh.freeserve.co.uk/sapienti/abacus01.htm"&gt;Suan Pan&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a href="http://webhome.idirect.com/%7Etotton/abacus/" class="external text" title="http://webhome.idirect.com/~totton/abacus/"&gt;Abacus: Mystery of the Bead - an Abacus Manual&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt; &lt;p&gt;&lt;a name="Abacus_curiosities" id="Abacus_curiosities"&gt;&lt;/a&gt;&lt;/p&gt; &lt;h3&gt;&lt;span class="editsection"&gt;[&lt;a href="http://en.wikipedia.org/w/index.php?title=Abacus&amp;action=edit&amp;amp;section=15" title="Edit section: Abacus curiosities"&gt;edit&lt;/a&gt;]&lt;/span&gt; &lt;span class="mw-headline"&gt;Abacus curiosities&lt;/span&gt;&lt;/h3&gt; &lt;ul&gt;&lt;li&gt;&lt;a href="http://www.cut-the-knot.org/blue/Abacus.shtml" class="external text" title="http://www.cut-the-knot.org/blue/Abacus.shtml"&gt;Abacus in Various Number Systems&lt;/a&gt; at &lt;a href="http://en.wikipedia.org/wiki/Cut-the-knot" title="Cut-the-knot"&gt;cut-the-knot&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a href="http://www.tux.org/%7Ebagleyd/abacus.html" class="external text" title="http://www.tux.org/~bagleyd/abacus.html"&gt;Java applet of Chinese, Japanese and Russian abaci&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a href="http://www.research.ibm.com/atomic/nano/roomtemp.html" class="external text" title="http://www.research.ibm.com/atomic/nano/roomtemp.html"&gt;An atomic-scale abacus&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/7430950421588784604-8688238298899466129?l=bitvortex.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://bitvortex.blogspot.com/feeds/8688238298899466129/comments/default' title='Postar comentários'/><link rel='replies' type='text/html' href='http://www.blogger.com/comment.g?blogID=7430950421588784604&amp;postID=8688238298899466129' title='0 Comentários'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7430950421588784604/posts/default/8688238298899466129'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7430950421588784604/posts/default/8688238298899466129'/><link rel='alternate' type='text/html' href='http://bitvortex.blogspot.com/2007/01/abacus.html' title='Abacus'/><author><name>Leitor</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7430950421588784604.post-6008920416285317771</id><published>2007-01-13T04:16:00.001-03:00</published><updated>2008-03-29T03:57:18.769-03:00</updated><title type='text'>Links sobre física/ciência em geral</title><content type='html'>um ótimo blog universitário de física:&lt;br /&gt;&lt;a href="http://universitariodefisica.blogspot.com/"&gt;http://universitariodefisica.blogspot.com/&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;experimentos simples e interessantes sobre várias áreas:&lt;br /&gt;&lt;a href="http://www.feiradeciencias.com.br/"&gt;http://www.feiradeciencias.com.br/&lt;br /&gt;&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;como as coisas funcionam.... muito material mesmo!&lt;br /&gt;&lt;a href="http://www.howstuffworks.com/"&gt;http://www.howstuffworks.com&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;página do prof. lang do if - ufrgs&lt;br /&gt;&lt;a href="http://www.if.ufrgs.br/mpef/Lang/"&gt;http://www.if.ufrgs.br/mpef/Lang/&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;revista scientific american:&lt;br /&gt;&lt;a href="http://www.sciam.com/"&gt;http://www.sciam.com/&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;science daily:&lt;br /&gt;&lt;a href="http://www.sciencedaily.com/"&gt;http://www.sciencedaily.com/&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;contém uma vasta coleção de conteúdos (das ciências em geral, inclusive) :&lt;br /&gt;&lt;a href="http://scienceworld.wolfram.com/physics/"&gt;http://scienceworld.wolfram.com/physics/&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;span class="nomodel" style=""&gt;Scientific Electronic Library Online - BR&lt;/span&gt;&lt;br /&gt;&lt;a href="http://www.scielo.br/"&gt;http://www.scielo.br/&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;humor na ciência:&lt;br /&gt;&lt;a href="http://www.humornaciencia.hpg.ig.com.br/"&gt;http://www.humornaciencia.hpg.ig.com.br/&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;periódicos da capes:&lt;br /&gt;&lt;a href="http://www.periodicos.capes.gov.br/"&gt;http://www.periodicos.capes.gov.br&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;span style="font-size:100%;"&gt;&lt;span style="color: rgb(0, 0, 0);"&gt;&lt;span style="font-family:Verdana;"&gt;Portal para periódicos de livre acesso na Internet:&lt;br /&gt;&lt;span style=";font-family:arial;font-size:100%;"  &gt;&lt;a href="http://livre.cnen.gov.br/Inicial.asp"&gt;http://livre.cnen.gov.br/Inicial.asp&lt;/a&gt;&lt;/span&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;animação em flash explicando as dez dimensões:&lt;br /&gt;&lt;a href="http://www.tenthdimension.com/flash2.php"&gt;http://www.tenthdimension.com/flash2.php&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;Revista electrónica de ciencia, tecnología, sociedad y cultura:&lt;br /&gt;&lt;a href="http://www.tendencias21.net/"&gt;http://www.tendencias21.net&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;Consejo Superior de Investigaciones Científicas:&lt;br /&gt;&lt;a href="http://www.csic.es/"&gt;http://www.csic.es&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;ebook de física:&lt;br /&gt;&lt;a href="http://instruct.tri-c.edu/fgram/web/..%5Cphysics.htm"&gt;http://instruct.tri-c.edu/fgram/web/..%5Cphysics.htm&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;links semelhantes em outro site:&lt;br /&gt;&lt;a href="http://www.fazfacil.com.br/Revistas.htm"&gt;http://www.fazfacil.com.br/Revistas.htm&lt;/a&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/7430950421588784604-6008920416285317771?l=bitvortex.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://bitvortex.blogspot.com/feeds/6008920416285317771/comments/default' title='Postar comentários'/><link rel='replies' type='text/html' href='http://www.blogger.com/comment.g?blogID=7430950421588784604&amp;postID=6008920416285317771' title='0 Comentários'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7430950421588784604/posts/default/6008920416285317771'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7430950421588784604/posts/default/6008920416285317771'/><link rel='alternate' type='text/html' href='http://bitvortex.blogspot.com/2007/01/links-sobre-fsicacincia-em-geral.html' title='Links sobre física/ciência em geral'/><author><name>Leitor</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7430950421588784604.post-3318246960904583942</id><published>2007-01-09T02:24:00.000-03:00</published><updated>2007-02-14T00:45:13.463-03:00</updated><title type='text'>Sites interessantes sobre xadrez</title><content type='html'>o melhor site de jogo online gratuito que conheço:&lt;br /&gt;&lt;a href="http://www.freechess.org/"&gt;www.freechess.org&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;o melhor site de material didático que encontrei(muita coisa mesmo!):&lt;br /&gt;&lt;a href="http://www.exeterchessclub.org.uk/"&gt;http://www.exeterchessclub.org.uk/&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;o melhor site com material ditático de xadrez em português que ja encontrei:&lt;br /&gt;&lt;a href="http://www.cex.org.br/"&gt;www.cex.org.br&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;xadrez por email:&lt;br /&gt;&lt;a href="http://www.itsyourturn.com/"&gt;http://www.itsyourturn.com/&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;tópicos gerais interessantes sobre xadrez:&lt;br /&gt;&lt;a href="http://chess.about.com/"&gt;chess.about.com&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;o chess publisher, animação em flash do jogo criada a partir de algum pgn:&lt;br /&gt;&lt;a href="http://chess.maribelajar.com/chesspublisher/index.php"&gt;http://chess.maribelajar.com/chesspublisher/index.php&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;begin chess, dicas gerais(incluindo training schedule) :&lt;br /&gt;&lt;a href="http://www.beginchess.com/"&gt;http://www.beginchess.com/&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;chess for blood, outro blog, só que focalizado exclusivamente ao xadrez:&lt;br /&gt;&lt;a href="http://chessforblood.blogspot.com/"&gt;http://chessforblood.blogspot.com/&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;gerador de diagramas enxadrísticos:&lt;br /&gt;&lt;a href="http://chessup.net/"&gt;http://chessup.net/&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;dejascacchi - táticas em pdf&lt;br /&gt;&lt;a href="http://dejascacchi.altervista.org/exercises.htm"&gt;http://dejascacchi.altervista.org/exercises.htm&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;chess puzzles by GMs&lt;br /&gt;&lt;a href="http://www.wtharvey.com/"&gt;http://www.wtharvey.com/&lt;/a&gt;&lt;br /&gt;&lt;span style="font-weight: bold;"&gt;&lt;br /&gt;&lt;span style="font-weight: bold;"&gt;&lt;span style="font-weight: bold;"&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;boletim informativo :&lt;br /&gt;&lt;a href="http://xeque.net/"&gt;http://xeque.net&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;confederação brasileira de xadrez:&lt;br /&gt;&lt;a href="http://www2.blogger.com/www.cbx.org.br"&gt;www.cbx.org.br&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;federação gaúcha de xadrez:&lt;br /&gt;&lt;a href="http://www.fgx.org.br/"&gt;http://www.fgx.org.br/&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;variantes de xadrez:&lt;br /&gt;&lt;a href="http://www.chessvariants.org/Gindex.html"&gt;http://www.chessvariants.org/Gindex.html&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;recreational mathematics:&lt;br /&gt;&lt;a href="http://mathworld.wolfram.com/topics/Chess.html"&gt;http://mathworld.wolfram.com/topics/Chess.html&lt;/a&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/7430950421588784604-3318246960904583942?l=bitvortex.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://bitvortex.blogspot.com/feeds/3318246960904583942/comments/default' title='Postar comentários'/><link rel='replies' type='text/html' href='http://www.blogger.com/comment.g?blogID=7430950421588784604&amp;postID=3318246960904583942' title='0 Comentários'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7430950421588784604/posts/default/3318246960904583942'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7430950421588784604/posts/default/3318246960904583942'/><link rel='alternate' type='text/html' href='http://bitvortex.blogspot.com/2007/01/sites-interessantes-sobre-xadrez.html' title='Sites interessantes sobre xadrez'/><author><name>Leitor</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7430950421588784604.post-1565271385489209566</id><published>2007-01-01T19:06:00.000-03:00</published><updated>2007-01-23T20:26:47.789-03:00</updated><title type='text'>Paradise Lost  -  John Milton</title><content type='html'>&lt;p style="color: rgb(204, 204, 204); font-style: italic;" align="left"&gt;&lt;span style="font-size:130%;"&gt;&lt;span style="font-family:Times New Roman;"&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;&lt;p style="color: rgb(204, 204, 204); font-style: italic;" align="left"&gt;&lt;span style="font-size:130%;"&gt;&lt;span style="font-family:Times New Roman;"&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;&lt;p style="color: rgb(204, 204, 204); font-style: italic;" align="left"&gt;&lt;span style="font-size:130%;"&gt;&lt;span style="font-family:Times New Roman;"&gt;&lt;/span&gt;&lt;blockquote&gt;&lt;span style="font-family:Times New Roman;"&gt; Of Man's first disobedience, and the fruit&lt;/span&gt;&lt;img src="file:///C:/Documents%20and%20Settings/Peter/Desktop/paulo/Walter_russel_vortex.jpg" alt="" /&gt;&lt;br /&gt;&lt;span style="font-family:Times New Roman;"&gt;Of that forbidden tree whose mortal taste&lt;br /&gt;Brought death into the world, and all our woe,&lt;br /&gt;With loss of Eden, till one greater Man&lt;br /&gt;Restore us, and regain the blissful seat,&lt;br /&gt;Sing, Heav'nly Muse, that, on the secret top&lt;br /&gt;Of Oreb, or of Sinai, didst inspire&lt;br /&gt;That shepherd who first taught the chosen seed&lt;br /&gt;In the beginning how the Heav'ns and Earth&lt;br /&gt;Rose out of Chaos; or, if Sion hill&lt;br /&gt;Delight thee more, and Siloa's brook that flow'd&lt;br /&gt;Fast by the oracle of God, I thence&lt;br /&gt;Invoke thy aid to my advent'rous song,&lt;br /&gt;That with no middle flight intends to soar&lt;br /&gt;Above th' Aonian mount, while it pursues&lt;br /&gt;Things unattempted yet in prose or rhyme.&lt;br /&gt;And chiefly thou, O Spirit, that dost prefer&lt;br /&gt;Before all temples th' upright heart and pure,&lt;br /&gt;Instruct me, for thou know'st; thou from the first&lt;br /&gt;Wast present, and, with mighty wings outspread,&lt;br /&gt;Dovelike sat'st brooding on the vast abyss,&lt;br /&gt;And mad'st it pregnant: what in me is dark&lt;br /&gt;Illumine; what is low, raise and support;&lt;br /&gt;That, to the height of this great argument,&lt;br /&gt;I may assert Eternal Providence,&lt;br /&gt;And justify the ways of God to men.&lt;/span&gt;&lt;/blockquote&gt;&lt;span style="font-family:Times New Roman;"&gt;&lt;/span&gt;&lt;/span&gt; &lt;/p&gt;&lt;p style="font-style: italic;" align="left"&gt;  &lt;/p&gt;     &lt;p style="font-style: italic;" align="left"&gt;  &lt;/p&gt;&lt;span style="font-style: italic;font-size:130%;" &gt;&lt;span style="color: rgb(51, 0, 153);"&gt;&lt;span style="font-family:Times New Roman;"&gt; Paradise Lost - a poem by John Milton&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/7430950421588784604-1565271385489209566?l=bitvortex.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://bitvortex.blogspot.com/feeds/1565271385489209566/comments/default' title='Postar comentários'/><link rel='replies' type='text/html' href='http://www.blogger.com/comment.g?blogID=7430950421588784604&amp;postID=1565271385489209566' title='0 Comentários'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7430950421588784604/posts/default/1565271385489209566'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7430950421588784604/posts/default/1565271385489209566'/><link rel='alternate' type='text/html' href='http://bitvortex.blogspot.com/2007/01/paradise-lost-john-milton.html' title='Paradise Lost  -  John Milton'/><author><name>Leitor</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry></feed>
