{"id":343,"date":"2014-02-09T23:36:14","date_gmt":"2014-02-09T23:36:14","guid":{"rendered":"https:\/\/www.cescoreale.com\/?post_type=project&#038;p=343"},"modified":"2015-11-20T19:25:11","modified_gmt":"2015-11-20T19:25:11","slug":"operazione-di-rango-zero-e-numeri-non-transitivi","status":"publish","type":"project","link":"https:\/\/www.cescoreale.com\/eo\/project\/operazione-di-rango-zero-e-numeri-non-transitivi\/","title":{"rendered":"Nulranga operacio kaj netransitivaj nombroj"},"content":{"rendered":"<p>[et_pb_section fullwidth=&#8221;on&#8221; background_color=&#8221;#8224e3&#8243; inner_shadow=&#8221;off&#8221; parallax=&#8221;off&#8221;][et_pb_fullwidth_header admin_label=&#8221;Fullwidth Header&#8221; background_layout=&#8221;dark&#8221; text_orientation=&#8221;left&#8221; title=&#8221;Nulranga operacio kaj netransitivaj nombroj&#8221; \/][\/et_pb_section][et_pb_section][et_pb_row][et_pb_column type=&#8221;3_4&#8243;][et_pb_text admin_label=&#8221;Text&#8221; background_layout=&#8221;light&#8221; text_orientation=&#8221;left&#8221;]<\/p>\n<p>el\u015dutu la pdf-n el la retejo Arxiv:\u00a0<a href=\"http:\/\/arxiv.org\/abs\/1205.1703\" target=\"_blank\">http:\/\/arxiv.org\/abs\/1205.1703<\/a><\/p>\n<p><a href=\"http:\/\/forum.wolframscience.com\/forumdisplay.php?s=17e2d7132b349334373bfcd0e6fbd3a8&#038;forumid=7 .\">Artikolo de G.F. Romerio<\/a>\u00a0en la forumo &#8220;Nova Tipo de Scienco&#8221; de www.wolframscience.com<\/p>\n<p><a href=\"https:\/\/www.cescoreale.com\/wp-content\/uploads\/2014\/02\/FormulaEuleroStigmaZero.png\"><img loading=\"lazy\" decoding=\"async\" class=\"  wp-image-784 alignright\" src=\"https:\/\/www.cescoreale.com\/wp-content\/uploads\/2014\/02\/FormulaEuleroStigmaZero.png\" alt=\"FormulaEuleroStigmaZero\" width=\"218\" height=\"96\" srcset=\"https:\/\/www.cescoreale.com\/wp-content\/uploads\/2014\/02\/FormulaEuleroStigmaZero.png 418w, https:\/\/www.cescoreale.com\/wp-content\/uploads\/2014\/02\/FormulaEuleroStigmaZero-300x132.png 300w\" sizes=\"auto, (max-width: 218px) 100vw, 218px\" \/><\/a>Observante la rilatojn ekzistantajn inter la elementaj operacioj kiel adicio,\u00a0multipliko (iteracio de adicioj) kaj potencigo (iteracio de multiplikoj), estas\u00a0difi\fnata nova operacio (nomata inkrementado) kohera kun tiuj le\u011doj kaj tia ke\u00a0adicio rezultas iteracio de inkrementadoj. La inkrementado rezultas tre simila\u00a0al la nulacio de Rubtsov kaj Romerio, kaj krome rezultas kohera kun la funkcio<br \/>\nde Ackermann. Di\ffininte la inversan operacion de inkrementado (nomata malinkrementado), oni observas ke \u011di ne estas fermita en R. Do, estas di\ffinata\u00a0nova aro de nombroj (nomataj E, E\u015deraj nombroj ) tia ke en \u011di malinkrementado rezultas fermita. Difi\fninte la koncepton de pse\u0015\u016ddoordigo (analoga al\u00a0ordigo, sed netransitiva), oni montras ke E\u015deraj nombroj estas netransitivaj.<br \/>\nPoste estas analizataj adicio kaj multipliko en E, kaj oni trovas korespondon\u00a0inter E kaj C. Fine oni etendas inkrementadon (kaj do pse\u0015\u016ddoordigo) al C,\u00a0tiel ke malinkrementado estas fermita anka\u0015u en C.<\/p>\n<p>\u015closilvortoj en Esperanto: hiperoperacioj, inkrementado, funkcio de Ackermann, maltransitiva ordigo, netransitiva ordigo, maltransitivaj nombroj,\u00a0netransitivaj nombroj, novaj nombraj aroj.<\/p>\n<p><a href=\"https:\/\/www.cescoreale.com\/wp-content\/uploads\/2014\/02\/PseudoordinamentoDeiComplessi-5.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone  wp-image-785\" src=\"https:\/\/www.cescoreale.com\/wp-content\/uploads\/2014\/02\/PseudoordinamentoDeiComplessi-5.jpg\" alt=\"PseudoordinamentoDeiComplessi-5\" width=\"552\" height=\"415\" srcset=\"https:\/\/www.cescoreale.com\/wp-content\/uploads\/2014\/02\/PseudoordinamentoDeiComplessi-5.jpg 776w, https:\/\/www.cescoreale.com\/wp-content\/uploads\/2014\/02\/PseudoordinamentoDeiComplessi-5-300x225.jpg 300w\" sizes=\"auto, (max-width: 552px) 100vw, 552px\" \/><\/a><\/p>\n<p>Pse\u016ddoordigo de la Kompleksaj Nombroj<\/p>\n<p>[\/et_pb_text][\/et_pb_column][et_pb_column type=&#8221;1_4&#8243;][et_pb_sidebar admin_label=&#8221;Sidebar&#8221; orientation=&#8221;right&#8221; area=&#8221;et_pb_widget_area_2&#8243; background_layout=&#8221;light&#8221; \/][\/et_pb_column][\/et_pb_row][\/et_pb_section]<\/p>\n","protected":false},"excerpt":{"rendered":"<p><div class=\"et_pb_section et_pb_section_0 et_section_regular\" >\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t<\/div><div class=\"et_pb_row et_pb_row_0 et_pb_row_empty\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t<\/div> Download the pdf from the website Arxiv:\u00a0http:\/\/arxiv.org\/abs\/1205.1703 Article by G.F. Romerio\u00a0in the forum &#8220;a New Kind of Science&#8221; of www.wolframscience.com Abstract Observing the existing relationships between the elementary operations of addition, multiplication (iteration of additions) and exponentiation (iteration of multiplications), a new operation (named incrementation) is defined, consistently with these laws and such that [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":793,"comment_status":"open","ping_status":"open","template":"","meta":{"_et_pb_use_builder":"on","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"project_category":[8,30,17],"project_tag":[],"class_list":["post-343","project","type-project","status-publish","has-post-thumbnail","hentry","project_category-mathematics","project_category-maths-publications","project_category-publications"],"_links":{"self":[{"href":"https:\/\/www.cescoreale.com\/eo\/wp-json\/wp\/v2\/project\/343","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.cescoreale.com\/eo\/wp-json\/wp\/v2\/project"}],"about":[{"href":"https:\/\/www.cescoreale.com\/eo\/wp-json\/wp\/v2\/types\/project"}],"author":[{"embeddable":true,"href":"https:\/\/www.cescoreale.com\/eo\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.cescoreale.com\/eo\/wp-json\/wp\/v2\/comments?post=343"}],"version-history":[{"count":27,"href":"https:\/\/www.cescoreale.com\/eo\/wp-json\/wp\/v2\/project\/343\/revisions"}],"predecessor-version":[{"id":792,"href":"https:\/\/www.cescoreale.com\/eo\/wp-json\/wp\/v2\/project\/343\/revisions\/792"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.cescoreale.com\/eo\/wp-json\/wp\/v2\/media\/793"}],"wp:attachment":[{"href":"https:\/\/www.cescoreale.com\/eo\/wp-json\/wp\/v2\/media?parent=343"}],"wp:term":[{"taxonomy":"project_category","embeddable":true,"href":"https:\/\/www.cescoreale.com\/eo\/wp-json\/wp\/v2\/project_category?post=343"},{"taxonomy":"project_tag","embeddable":true,"href":"https:\/\/www.cescoreale.com\/eo\/wp-json\/wp\/v2\/project_tag?post=343"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}