{"id":9030,"date":"2018-05-23T12:15:25","date_gmt":"2018-05-23T11:15:25","guid":{"rendered":"http:\/\/kmr.dialectica.se\/wp\/?page_id=9030"},"modified":"2018-05-23T12:15:25","modified_gmt":"2018-05-23T11:15:25","slug":"numbers","status":"publish","type":"page","link":"https:\/\/kmr.placify.me\/wp\/research\/math-rehab\/first-class-mathematics\/short-circuiting-learning-objects\/numbers\/","title":{"rendered":"Numbers"},"content":{"rendered":"<p>This page is a sub-page of our page on <a href=\"https:\/\/kmr.placify.me\/wp\/research\/math-rehab\/first-class-mathematics\/short-circuiting-learning-objects\/\" title=\"Short-cirquiting Learning Objects at the KMR web site\" target=\"_blank\" rel=\"noopener\">Expandable Learning Objects<\/a>. <\/p>\n<p>\/\/\/\/\/\/\/<\/p>\n<p><strong>The sub-pages of this page are<\/strong>:<\/p>\n<p>\u2022 <a href=\"https:\/\/kmr.placify.me\/wp\/research\/math-rehab\/first-class-mathematics\/short-circuiting-learning-objects\/numbers\/representation-and-reconstruction\/\" title=\"Representation and Reconstruction of Numbers (at the KMR web site)\" target=\"_blank\" rel=\"noopener\">Representation and Reconstruction of Numbers<\/a>.<br \/>\n\u2022\u00a0<a href=\"https:\/\/kmr.placify.me\/wp\/research\/math-rehab\/first-class-mathematics\/short-circuiting-learning-objects\/numbers\/shift-of-base\/\" title=\"Shift of Base for Numbers (at the KMR web site)\" target=\"_blank\" rel=\"noopener\">Shift of Base for Numbers<\/a>.<\/p>\n<p>\/\/\/\/\/\/\/<\/p>\n<p><strong>Related KMR pages<\/strong>:<\/p>\n<p>\u2022 <a href=\"https:\/\/kmr.placify.me\/wp\/research\/math-rehab\/first-class-mathematics\/short-circuiting-learning-objects\/interactive-learning-objects\/figures-versus-numbers\/\" title=\"at the KMR web site\" target=\"_blank\" rel=\"noopener\">Numbers and their Digits in different Bases<\/a>.<br \/>\n\u2022 <a href=\"https:\/\/kmr.placify.me\/wp\/research\/math-rehab\/learning-object-repository\/algebra\/geomtric-algebra\/complex-numbers\/\" title=\"Complex numbers at the KMR web site\" target=\"_blank\" rel=\"noopener\">Complex Numbers<\/a>.<br \/>\n\u2022 <a href=\"https:\/\/kmr.placify.me\/wp\/research\/math-rehab\/learning-object-repository\/shift-of-basis\/\" title=\"Shift of Basis at the KMR web site\" target=\"_blank\" rel=\"noopener\">Shift of Basis<\/a> (in general).<\/p>\n<p>\/\/\/\/\/\/\/<\/p>\n<p><strong>Representation and Reconstruction of a Number with respect to a Base<\/strong><\/p>\n<p><strong>Representation<\/strong>: <span class=\"wp-katex-eq\" data-display=\"false\"> [ \\, n_{umber} \\, ]_{B_{ase}} = \\left&lt; \\, d_{igits} \\, \\right&gt;_{B_{ase}}  <\/span><\/p>\n<p><strong>Reconstruction<\/strong>: <span class=\"wp-katex-eq\" data-display=\"false\"> \\left( \\, \\left&lt; \\, d_{igits} \\, \\right&gt;_{B_{ase}} \\, \\right)_{B_{ase}} = n_{umber} <\/span><\/p>\n<p>\/\/\/\/\/\/\/\/\/\/ In Swedish:<\/p>\n<p><strong>Representation och Rekonstruktion av ett Tal med avseende p\u00e5 en Bas<\/strong><\/p>\n<p><strong>Representation<\/strong>: <span class=\"wp-katex-eq\" data-display=\"false\"> [ \\,t_{al} \\, ]_{B_{as}} = \\left&lt; \\, s_{iffror} \\, \\right&gt;_{B_{as}}  <\/span><\/p>\n<p><strong>Rekonstruktion<\/strong>: <span class=\"wp-katex-eq\" data-display=\"false\"> \\left( \\, \\left&lt; \\, s_{iffror} \\, \\right&gt;_{B_{as}} \\, \\right)_{B_{as}} = t_{al} <\/span> <\/p>\n<p>\/\/\/\/\/\/\/<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This page is a sub-page of our page on Expandable Learning Objects. \/\/\/\/\/\/\/ The sub-pages of this page are: \u2022 Representation and Reconstruction of Numbers. \u2022\u00a0Shift of Base for Numbers. \/\/\/\/\/\/\/ Related KMR pages: \u2022 Numbers and their Digits in different Bases. \u2022 Complex Numbers. \u2022 Shift of Basis (in general). \/\/\/\/\/\/\/ Representation and Reconstruction &hellip; <a href=\"https:\/\/kmr.placify.me\/wp\/research\/math-rehab\/first-class-mathematics\/short-circuiting-learning-objects\/numbers\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Numbers<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"parent":160,"menu_order":0,"comment_status":"open","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":["post-9030","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/kmr.placify.me\/wp\/wp-json\/wp\/v2\/pages\/9030","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/kmr.placify.me\/wp\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/kmr.placify.me\/wp\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/kmr.placify.me\/wp\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/kmr.placify.me\/wp\/wp-json\/wp\/v2\/comments?post=9030"}],"version-history":[{"count":0,"href":"https:\/\/kmr.placify.me\/wp\/wp-json\/wp\/v2\/pages\/9030\/revisions"}],"up":[{"embeddable":true,"href":"https:\/\/kmr.placify.me\/wp\/wp-json\/wp\/v2\/pages\/160"}],"wp:attachment":[{"href":"https:\/\/kmr.placify.me\/wp\/wp-json\/wp\/v2\/media?parent=9030"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}