{"id":2689,"date":"2021-06-04T14:19:34","date_gmt":"2021-06-04T11:19:34","guid":{"rendered":"https:\/\/hotnewsinworld.com\/es\/numeros-de-dyson\/"},"modified":"2021-06-04T14:19:41","modified_gmt":"2021-06-04T11:19:41","slug":"numeros-de-dyson","status":"publish","type":"post","link":"https:\/\/hotnewsinworld.com\/es\/numeros-de-dyson\/","title":{"rendered":"N\u00fameros de Dyson"},"content":{"rendered":"<p>Con paciencia y ordenador, un lector recientemente incorporado a nuestro plantel de sagaces comentaristas, Mensajero Ut\u00f3pico, ha encontrado un mont\u00f3n de Repfigit (Repetitive Fibonacci-like digit) o n\u00fameros de Keith, de los que nos ocupamos la semana pasada. He aqu\u00ed algunos:Repfigit de 2 d\u00edgitos:14: 1, 4, 5, 9, 1419: 1 ,9, 10, 1928: 2, 8, 10, 18, 2847: 4, 7, 11, 18, 29, 4761: 6, 1, 7, 8, 15, 23, 38, 6175: 7, 5, 12, 17, 29, 46, 75Repfigit de 3 d\u00edgitos:197: 1, 9, 7, 17, 33, 57, 107, 197742: 7, 4, 2, 13, 19, 34, 66, 119, 219, 404, 742Repfigit de 4 d\u00edgitos:1.104: 1, 1, 0, 4, 6, 11, 21, 42, 80, 154, 297, 573, 11041.537: 1, 5, 3, 7, 16, 31, 57, 111, 215, 414, 797, 1.5372.208: 2, 2, 0, 8, 12, 22, 42, 84, 160, 308, 594, 1.146, 2.2082.580: 2, 5, 8, 0, 15, 28, 51, 94, 188, 361, 694, 1.337, 2.5803.684: 3, 6, 8, 4, 21, 39, 72, 136, 268, 515, 991, 1.910, 3.6844.788: 4, 7, 8, 8, 27, 50, 93, 178, 348, 669, 1.288, 2.483, 4.7887.385: 7, 3, 8, 5, 23, 39, 75, 142, 279, 535, 1.031, 1.987, 3.832, 7.3857.647: 7, 6, 4, 7, 24, 41, 76, 148, 289, 554, 1.067, 2.058, 3.968, 7.6477.909: 7, 9, 0, 9, 25, 43, 77, 154, 299, 573, 1.103, 2.129, 4.104, 7.909(Para un listado completo de Repfigit de hasta 9 d\u00edgitos, ver comentarios de la semana pasada).Como vimos, no hay ning\u00fan algoritmo que permita generar n\u00fameros de Keith de forma r\u00e1pida, y los m\u00e1s grandes hay que buscarlos mediante la fuerza bruta de potentes ordenadores, pues su distribuci\u00f3n no sigue ninguna pauta reconocible; en este sentido se parecen a los primos, pero son mucho m\u00e1s escasos: solo hay 52 Repfigit de menos de 15 d\u00edgitos. Y, curiosamente, no hay ninguno de 10 d\u00edgitos.Su descubridor, el matem\u00e1tico e inform\u00e1tico estadounidense Michael Keith, cree que hay infinitos Repfigit; pero su conjetura todav\u00eda no ha sido demostrada (ni refutada).Siguiendo con las secuencias \u201cFibonacci-like\u201d, consideremos la siguiente:0.10.010.0020.00030.000050.0000080.00000130.00000021\u2026.Como se puede ver, est\u00e1 formada a partir de los t\u00e9rminos de la sucesi\u00f3n de Fibonacci (1, 1, 2, 3, 5, 8, 13, 21\u2026), de manera que la \u00faltima cifra del t\u00e9rmino n ocupa su en\u00e9simo lugar decimal. Si sumamos los t\u00e9rminos as\u00ed generados, obtenemos 0.1123595\u2026, y, curiosamente, 10\/89 = 0,1123595\u2026\u00bfSe mantiene la igualdad a medida que vamos avanzando en el desarrollo de esta sucesi\u00f3n \u201cfibonacciana\u201d? \u00bfQu\u00e9 tiene de especial el n\u00famero 89, y qu\u00e9 otra relaci\u00f3n guarda con la sucesi\u00f3n de Fibonacci?N\u00fameros par\u00e1sitosAl hablar de n\u00fameros \u201cextra\u00f1os\u201d e infrecuentes, como los Repfigit, no se puede dejar de mencionar los n\u00fameros par\u00e1sitos, tambi\u00e9n llamados n\u00fameros de Dyson en honor del gran f\u00edsico y matem\u00e1tico brit\u00e1nico Freeman Dyson, que son aquellos que al multiplicarlos por la cifra de las unidades se convierten en un n\u00famero con los mismos d\u00edgitos, pero con la cifra de las unidades trasladada al primer lugar de la izquierda; por ejemplo:102.564 x 4 = 410.256Si el multiplicador que produce la rotaci\u00f3n de cifras no es el d\u00edgito de las unidades, el n\u00famero se denomina seudopar\u00e1sito; por ejemplo:179.487 x 4 = 717.948Los n\u00fameros de Dyson est\u00e1n emparentados con los c\u00edclicos. Un n\u00famero c\u00edclico es aquel cuyas permutaciones c\u00edclicas son m\u00faltiplos suyos; por ejemplo:142.857 \u00d7 2 = 285.714142.857 \u00d7 3 = 428.571142.857 \u00d7 4 = 571.428142.857 \u00d7 5 = 714.285142.857 \u00d7 6 = 857.142Invito a mis sagaces lectoras\/es a encontrar m\u00e1s n\u00fameros par\u00e1sitos, seudopar\u00e1sitos y c\u00edclicos.Puedes seguir a MATERIA en Facebook,<a rel=\"nofollow noopener noreferrer\" target=\"_blank\" href=\"https:\/\/twitter.com\/materia_ciencia\"> Twitter<\/a> e Instagram, o apuntarte aqu\u00ed para recibir nuestra newsletter semanal.<script async src=\"https:\/\/platform.twitter.com\/widgets.js\" charset=\"utf-8\"><\/script><script async defer src=\"https:\/\/platform.instagram.com\/en_US\/embeds.js\"><\/script><br \/>\n<br \/>\n<!--noindex--><br \/>\n<a href=\"https:\/\/elpais.com\/ciencia\/2021-06-04\/numeros-de-dyson.html\" rel=\"nofollow\">Source link <\/a><br \/>\n<!--\/noindex--><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Con paciencia y ordenador, un lector recientemente incorporado a nuestro plantel de sagaces comentaristas, Mensajero Ut\u00f3pico, ha encontrado un mont\u00f3n de Repfigit (Repetitive Fibonacci-like digit) o n\u00fameros de Keith, de los que nos ocupamos la semana pasada. He aqu\u00ed algunos:Repfigit de 2 d\u00edgitos:14: 1, 4, 5, 9, 1419: 1 ,9, 10, 1928: 2, 8, 10, [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":2690,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-2689","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-ultimas-noticias-financieras"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>N\u00fameros de Dyson - Hot News in World<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/hotnewsinworld.com\/es\/numeros-de-dyson\/\" \/>\n<meta property=\"og:locale\" content=\"es_ES\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"N\u00fameros de Dyson - Hot News in World\" \/>\n<meta property=\"og:description\" content=\"Con paciencia y ordenador, un lector recientemente incorporado a nuestro plantel de sagaces comentaristas, Mensajero Ut\u00f3pico, ha encontrado un mont\u00f3n de Repfigit (Repetitive Fibonacci-like digit) o n\u00fameros de Keith, de los que nos ocupamos la semana pasada. 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