poemas de amor */ /* Content ----------------------------------------------- */ body { font: normal normal 13px Arial, Tahoma, Helvetica, FreeSans, sans-serif; color: #333333; background: #2d3037 none repeat scroll top left; } html body .content-outer { min-width: 0; max-width: 100%; width: 100%; } a:link { text-decoration: none; color: #29aae1; } a:visited { text-decoration: none; color: #015782; } a:hover { text-decoration: underline; color: #29aae1; } .body-fauxcolumn-outer .cap-top { position: absolute; z-index: 1; height: 276px; width: 100%; background: transparent none repeat-x scroll top left; _background-image: none; } /* Columns ----------------------------------------------- */ .content-inner { padding: 0; } .header-inner .section { margin: 0 16px; } .tabs-inner .section { margin: 0 16px; } .main-inner { padding-top: 55px; } .main-inner .column-center-inner, .main-inner .column-left-inner, .main-inner .column-right-inner { padding: 0 5px; } *+html body .main-inner .column-center-inner { margin-top: -55px; } #layout .main-inner .column-center-inner { margin-top: 0; } /* Header ----------------------------------------------- */ .header-outer { margin: 0 0 15px 0; background: transparent none repeat scroll 0 0; } .Header h1 { font: normal normal 40px Arial, Tahoma, Helvetica, FreeSans, sans-serif; color: #8ce1f5; text-shadow: 0 0 20px #000000; } .Header h1 a { color: #8ce1f5; } .Header .description { font: normal normal 18px Arial, Tahoma, Helvetica, FreeSans, sans-serif; color: #ffffff; } .header-inner .Header .titlewrapper, .header-inner .Header .descriptionwrapper { padding-left: 0; padding-right: 0; margin-bottom: 0; } .header-inner .Header .titlewrapper { padding-top: 22px; } /* Tabs ----------------------------------------------- */ .tabs-outer { overflow: hidden; position: relative; background: #29aae1 url(http://www.blogblog.com/1kt/awesomeinc/tabs_gradient_light.png) repeat scroll 0 0; } #layout .tabs-outer { overflow: visible; } .tabs-cap-top, .tabs-cap-bottom { position: absolute; width: 100%; border-top: 1px solid #2d3037; } .tabs-cap-bottom { bottom: 0; } .tabs-inner .widget li a { display: inline-block; margin: 0; padding: .6em 1.5em; font: normal normal 13px Arial, Tahoma, Helvetica, FreeSans, sans-serif; color: #ffffff; border-top: 1px solid #2d3037; border-bottom: 1px solid #2d3037; border-left: 1px solid #2d3037; } .tabs-inner .widget li:last-child a { border-right: 1px solid #2d3037; } .tabs-inner .widget li.selected a, .tabs-inner .widget li a:hover { background: #01689c url(http://www.blogblog.com/1kt/awesomeinc/tabs_gradient_light.png) repeat-x scroll 0 -100px; color: #ffffff; } /* Headings ----------------------------------------------- */ h2 { font: normal normal 18px Arial, Tahoma, Helvetica, FreeSans, sans-serif; color: #8ce1f5; } /* Widgets ----------------------------------------------- */ .main-inner .section { margin: 0 27px; padding: 0; } .main-inner .column-left-outer, .main-inner .column-right-outer { margin-top: -3.3em; } #layout .main-inner .column-left-outer, #layout .main-inner .column-right-outer { margin-top: 0; } .main-inner .column-left-inner, .main-inner .column-right-inner { background: transparent none repeat 0 0; -moz-box-shadow: 0 0 0 rgba(0, 0, 0, .2); -webkit-box-shadow: 0 0 0 rgba(0, 0, 0, .2); -goog-ms-box-shadow: 0 0 0 rgba(0, 0, 0, .2); box-shadow: 0 0 0 rgba(0, 0, 0, .2); -moz-border-radius: 0; -webkit-border-radius: 0; -goog-ms-border-radius: 0; border-radius: 0; } #layout .main-inner .column-left-inner, #layout .main-inner .column-right-inner { margin-top: 0; } .sidebar .widget { font: normal normal 13px Arial, Tahoma, Helvetica, FreeSans, sans-serif; color: #ffffff; } .sidebar .widget a:link { color: #29aae1; } .sidebar .widget a:visited { color: #015782; } .sidebar .widget a:hover { color: #29aae1; } .sidebar .widget h2 { text-shadow: 0 0 20px #000000; } .main-inner .widget { background-color: transparent; border: 1px solid transparent; padding: 0 0 15px; margin: 20px -16px; -moz-box-shadow: 0 0 0 rgba(0, 0, 0, .2); -webkit-box-shadow: 0 0 0 rgba(0, 0, 0, .2); -goog-ms-box-shadow: 0 0 0 rgba(0, 0, 0, .2); box-shadow: 0 0 0 rgba(0, 0, 0, .2); -moz-border-radius: 0; -webkit-border-radius: 0; -goog-ms-border-radius: 0; border-radius: 0; } .main-inner .widget h2 { margin: 0 -0; padding: .6em 0 .5em; border-bottom: 1px solid transparent; } .footer-inner .widget h2 { padding: 0 0 .4em; border-bottom: 1px solid transparent; } .main-inner .widget h2 + div, .footer-inner .widget h2 + div { border-top: 0 solid transparent; padding-top: 8px; } .main-inner .widget .widget-content { margin: 0 -0; padding: 7px 0 0; } .main-inner .widget ul, .main-inner .widget #ArchiveList ul.flat { margin: -8px -15px 0; padding: 0; list-style: none; } .main-inner .widget #ArchiveList { margin: -8px 0 0; } .main-inner .widget ul li, .main-inner .widget #ArchiveList ul.flat li { padding: .5em 15px; text-indent: 0; color: #ffffff; border-top: 0 solid transparent; border-bottom: 1px solid transparent; } .main-inner .widget #ArchiveList ul li { padding-top: .25em; padding-bottom: .25em; } .main-inner .widget ul li:first-child, .main-inner .widget #ArchiveList ul.flat li:first-child { border-top: none; } .main-inner .widget ul li:last-child, .main-inner .widget #ArchiveList ul.flat li:last-child { border-bottom: none; } .post-body { position: relative; } .main-inner .widget .post-body ul { padding: 0 2.5em; margin: .5em 0; list-style: disc; } .main-inner .widget .post-body ul li { padding: 0.25em 0; margin-bottom: .25em; color: #333333; border: none; } .footer-inner .widget ul { padding: 0; list-style: none; } .widget .zippy { color: #ffffff; } /* Posts ----------------------------------------------- */ body .main-inner .Blog { padding: 0; margin-bottom: 1em; background-color: transparent; border: none; -moz-box-shadow: 0 0 0 rgba(0, 0, 0, 0); -webkit-box-shadow: 0 0 0 rgba(0, 0, 0, 0); -goog-ms-box-shadow: 0 0 0 rgba(0, 0, 0, 0); box-shadow: 0 0 0 rgba(0, 0, 0, 0); } .main-inner .section:last-child .Blog:last-child { padding: 0; margin-bottom: 1em; } .main-inner .widget h2.date-header { margin: 0 -15px 1px; padding: 0 0 0 0; font: normal normal 18px Arial, Tahoma, Helvetica, FreeSans, sans-serif; color: #8ce1f5; background: transparent none no-repeat fixed center center; border-top: 0 solid transparent; border-bottom: 1px solid transparent; -moz-border-radius-topleft: 0; -moz-border-radius-topright: 0; -webkit-border-top-left-radius: 0; -webkit-border-top-right-radius: 0; border-top-left-radius: 0; border-top-right-radius: 0; position: absolute; bottom: 100%; left: 0; text-shadow: 0 0 20px #000000; } .main-inner .widget h2.date-header span { font: normal normal 18px Arial, Tahoma, Helvetica, FreeSans, sans-serif; display: block; padding: .5em 15px; border-left: 0 solid transparent; border-right: 0 solid transparent; } .date-outer { position: relative; margin: 55px 0 20px; padding: 0 15px; background-color: #ffffff; border: 1px solid #8ce1f5; -moz-box-shadow: 0 0 0 rgba(0, 0, 0, .2); -webkit-box-shadow: 0 0 0 rgba(0, 0, 0, .2); -goog-ms-box-shadow: 0 0 0 rgba(0, 0, 0, .2); box-shadow: 0 0 0 rgba(0, 0, 0, .2); -moz-border-radius: 0; -webkit-border-radius: 0; -goog-ms-border-radius: 0; border-radius: 0; } .date-outer:first-child { margin-top: 0; } .date-outer:last-child { margin-bottom: 0; -moz-border-radius-bottomleft: 0; -moz-border-radius-bottomright: 0; -webkit-border-bottom-left-radius: 0; -webkit-border-bottom-right-radius: 0; -goog-ms-border-bottom-left-radius: 0; -goog-ms-border-bottom-right-radius: 0; border-bottom-left-radius: 0; border-bottom-right-radius: 0; } .date-posts { margin: 0 -0; padding: 0 0; clear: both; } .post-outer, .inline-ad { border-top: 1px solid #8ce1f5; margin: 0 -0; padding: 15px 0; } .post-outer { padding-bottom: 10px; } .post-outer:first-child { padding-top: 10px; border-top: none; } .post-outer:last-child, .inline-ad:last-child { border-bottom: none; } .post-body { position: relative; } .post-body img { padding: 8px; background: #ffffff; border: 1px solid #cccccc; -moz-box-shadow: 0 0 20px rgba(0, 0, 0, .2); -webkit-box-shadow: 0 0 20px rgba(0, 0, 0, .2); box-shadow: 0 0 20px rgba(0, 0, 0, .2); -moz-border-radius: 0; -webkit-border-radius: 0; border-radius: 0; } h3.post-title, h4 { font: normal bold 18px Arial, Tahoma, Helvetica, FreeSans, sans-serif; color: #29aae1; } h3.post-title a { font: normal bold 18px Arial, Tahoma, Helvetica, FreeSans, sans-serif; color: #29aae1; } h3.post-title a:hover { color: #29aae1; text-decoration: underline; } .post-header { margin: 0 0 1em; } .post-body { line-height: 1.4; } .post-outer h2 { color: #333333; } .post-footer { margin: 1.5em 0 0; } #blog-pager { padding: 15px; font-size: 120%; background-color: transparent; border: 1px solid transparent; -moz-box-shadow: 0 0 0 rgba(0, 0, 0, .2); -webkit-box-shadow: 0 0 0 rgba(0, 0, 0, .2); -goog-ms-box-shadow: 0 0 0 rgba(0, 0, 0, .2); box-shadow: 0 0 0 rgba(0, 0, 0, .2); -moz-border-radius: 0; -webkit-border-radius: 0; -goog-ms-border-radius: 0; border-radius: 0; -moz-border-radius-topleft: 0; -moz-border-radius-topright: 0; -webkit-border-top-left-radius: 0; -webkit-border-top-right-radius: 0; -goog-ms-border-top-left-radius: 0; -goog-ms-border-top-right-radius: 0; border-top-left-radius: 0; border-top-right-radius-topright: 0; margin-top: 0; } .blog-feeds, .post-feeds { margin: 1em 0; text-align: center; color: #ffffff; } .blog-feeds a, .post-feeds a { color: #29aae1; } .blog-feeds a:visited, .post-feeds a:visited { color: #015782; } .blog-feeds a:hover, .post-feeds a:hover { color: #29aae1; } .post-outer .comments { margin-top: 2em; } /* Comments ----------------------------------------------- */ .comments .comments-content .blog-author, .comments .comments-content .blog-author a { border-bottom: 1px solid #29aae1; } .comments .comments-content .loadmore a { border-top: 1px solid #2d3037; border-bottom: 1px solid #2d3037; } .comments .comment-thread.inline-thread { border-left: 1px dashed #2d3037; } .comments .continue { border-top: 2px solid #2d3037; } /* Footer ----------------------------------------------- */ .footer-outer { margin: -0 0 -1px; padding: 0 0 0; color: #ffffff; overflow: hidden; } .footer-fauxborder-left { border-top: 1px solid transparent; background: transparent none repeat scroll 0 0; -moz-box-shadow: 0 0 0 rgba(0, 0, 0, .2); -webkit-box-shadow: 0 0 0 rgba(0, 0, 0, .2); -goog-ms-box-shadow: 0 0 0 rgba(0, 0, 0, .2); box-shadow: 0 0 0 rgba(0, 0, 0, .2); margin: 0 -0; } /* Mobile ----------------------------------------------- */ body.mobile { background-size: auto; } .mobile .body-fauxcolumn-outer { background: transparent none repeat scroll top left; } *+html body.mobile .main-inner .column-center-inner { margin-top: 0; } .mobile .main-inner .widget { padding: 0 0 15px; } .mobile .main-inner .widget h2 + div, .mobile .footer-inner .widget h2 + div { border-top: none; padding-top: 0; } .mobile .footer-inner .widget h2 { padding: 0.5em 0; border-bottom: none; } .mobile .main-inner .widget .widget-content { margin: 0; padding: 7px 0 0; } .mobile .main-inner .widget ul, .mobile .main-inner .widget #ArchiveList ul.flat { margin: 0 -15px 0; } .mobile .main-inner .widget h2.date-header { left: 0; } .mobile .date-header span { padding: 0.4em 0; } .mobile .date-outer:first-child { margin-bottom: 0; border: 1px solid #8ce1f5; -moz-border-radius-topleft: 0; -moz-border-radius-topright: 0; -webkit-border-top-left-radius: 0; -webkit-border-top-right-radius: 0; -goog-ms-border-top-left-radius: 0; -goog-ms-border-top-right-radius: 0; border-top-left-radius: 0; border-top-right-radius: 0; } .mobile .date-outer { border-color: #8ce1f5; border-width: 0 1px 1px; } .mobile .date-outer:last-child { margin-bottom: 0; } .mobile .main-inner { padding: 0; } .mobile .header-inner .section { margin: 0; } .mobile .blog-posts { padding: 0 10px; } .mobile .post-outer, .mobile .inline-ad { padding: 5px 0; } .mobile .tabs-inner .section { margin: 0 10px; } .mobile .main-inner .widget h2 { margin: 0; padding: 0; } .mobile .main-inner .widget h2.date-header span { padding: 0; } .mobile .main-inner .widget .widget-content { margin: 0; padding: 7px 0 0; } .mobile #blog-pager { border: 1px solid transparent; background: transparent none repeat scroll 0 0; } .mobile .main-inner .column-left-inner, .mobile .main-inner .column-right-inner { background: transparent none repeat 0 0; -moz-box-shadow: none; -webkit-box-shadow: none; -goog-ms-box-shadow: none; box-shadow: none; } .mobile .date-posts { margin: 0; padding: 0; } .mobile .footer-fauxborder-left { margin: 0; border-top: inherit; } .mobile .main-inner .section:last-child .Blog:last-child { margin-bottom: 0; } .mobile-index-contents { color: #333333; } .mobile .mobile-link-button { background: #29aae1 url(http://www.blogblog.com/1kt/awesomeinc/tabs_gradient_light.png) repeat scroll 0 0; } .mobile-link-button a:link, .mobile-link-button a:visited { color: #ffffff; } .mobile .tabs-inner .PageList .widget-content { background: transparent; border-top: 1px solid; border-color: #2d3037; color: #ffffff; } .mobile .tabs-inner .PageList .widget-content .pagelist-arrow { border-left: 1px solid #2d3037; } -->

CONGRUÈNCIES

Per a escomençar, parlaré dels mòduls i dels diferents usos de les cogruències. El signe de les congruències es representa per el signe igual (=) però amb tres ratlles (no disponible al teclat de l'ordinador) així que ho representaré diguent "és congruent a".

miércoles, 7 de diciembre de 2011

APLICACIONS DE L'ARITMÈTICA MODULAR

L'aritmètica modular, estudiada sistemàticament en primer lloc per Carl Friedrich Gauss al final del Segle XVIII, s'aplica en teoria de números, àlgebra abstracta, criptografia, i en arts visuals i musicals. Les operacions aritmètiques que hui en dia fan la majoria de les computadores són aritmètic modulars, on el mòdul és 2b (b és el nombre de bits dels valors sobre els quals operamos). Açò es veu clar en la compilació de llenguatges de programació com el C; on per exemple totes les operacions aritmètiques sobre 'int', sencers, es prenen mòdul 232 en la majoria de les computadores.
En l'art
En música, a causa de l'equivalència d'octaves i equivalència enarmònica (esto és, els passos en raons de 1/2 o 2/1 són equivalents, i Do# és el mateix que Reb), l'aritmètica modular s'usa quan considerem l'escala de dotze tons igualment temperada, especialment en el dodecafonisme.

No hay comentarios:

Publicar un comentario