{"id":32556,"date":"2014-02-02T16:32:12","date_gmt":"2014-02-02T14:32:12","guid":{"rendered":"http:\/\/www.lovendal.ro\/wp52\/?p=32556"},"modified":"2025-07-20T21:57:59","modified_gmt":"2025-07-20T18:57:59","slug":"cel-mai-vechi-calculator-din-lume-are-2-300-de-ani-vechime-si-a-fost-construit-de-chinezi","status":"publish","type":"post","link":"https:\/\/www.lovendal.ro\/wp52\/cel-mai-vechi-calculator-din-lume-are-2-300-de-ani-vechime-si-a-fost-construit-de-chinezi\/","title":{"rendered":"Cel mai vechi calculator din lume are 2.300 de ani vechime \u015fi a fost construit de chinezi"},"content":{"rendered":"<figure id=\"attachment_98967\" aria-describedby=\"caption-attachment-98967\" style=\"width: 359px\" class=\"wp-caption alignleft\"><a href=\"https:\/\/www.lovendal.ro\/wp52\/wp-content\/uploads\/2014\/02\/CALCULATOR-CHINEZESC.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-98967\" src=\"https:\/\/www.lovendal.ro\/wp52\/wp-content\/uploads\/2014\/02\/CALCULATOR-CHINEZESC.jpg\" alt=\"\" width=\"369\" height=\"314\" srcset=\"https:\/\/www.lovendal.ro\/wp52\/wp-content\/uploads\/2014\/02\/CALCULATOR-CHINEZESC.jpg 369w, https:\/\/www.lovendal.ro\/wp52\/wp-content\/uploads\/2014\/02\/CALCULATOR-CHINEZESC-300x255.jpg 300w\" sizes=\"auto, (max-width: 369px) 100vw, 369px\" \/><\/a><figcaption id=\"caption-attachment-98967\" class=\"wp-caption-text\"><strong>Imagine:<\/strong> generata de AI (<strong>Google \/ Gemini<\/strong>)<\/figcaption><\/figure>\n<p>\u00cen urm\u0103 cu aproximativ 2.300 de ani, vechii chinezi au scris cel mai vechi tabel zecimal de multiplicare din lume, pe ni\u015fte be\u021be de bambus. Potrivit exper\u021bilor, acesta era un calculator foarte eficient, care putea s\u0103 fac\u0103 calculele nu numai cu numere \u00eentregi, dar, de asemenea \u015fi cu frac\u021bii. Nicio \u021bar\u0103 din lume nu avea \u00een acel moment asemenea calculatoare.<\/p>\n<p>\u00cen urm\u0103 cu 5 ani, Universitatea Tsinghua din Beijing a primit un cadou de circa 2.500 de be\u021be de bambus. Cel mai probabil, ele au fost g\u0103site de c\u0103tre jefuitorii de morminte antice \u0219i apoi v\u00e2ndute pe pia\u021ba neagr\u0103 din Hong Kong. Conform analizei cu carbon radioactiv, acest artefact a fost creat \u00een jurul anului 305 \u00ee.Hr. \u00cen ciuda conflictelor militare, perioada istoric\u0103 cuprins\u0103 \u00eentre anii 453 \u015fi 221 \u00ee.Hr. se caracterizeaz\u0103 prin \u00eenflorirea comer\u021bului \u0219i industriei, prin r\u0103sp\u00e2ndirea uneltelor de fier, prin construc\u021bia de mari proiecte de iriga\u021bii, prin dezvoltarea agriculturii \u0219i prin cre\u0219terea popula\u021biei.<\/p>\n<p>Potrivit informa\u021biilor de pe site-ul <em>&#8222;Nature&#8221;,<\/em> fiecare be\u0163i\u015for are de 12,7 mm l\u0103\u021bime \u0219i p\u00e2n\u0103 la o jum\u0103tate de metru lungime. De sus p\u00e2n\u0103 jos, be\u0163i\u015foarele sunt acoperite cu o scriere veche. Potrivit istoricilor chinezi, acest artefact important cuprinde 65 de texte antice scrise cu cerneal\u0103 neagr\u0103. Datorit\u0103 faptului c\u0103 firele de conectare a paginilor s-au stricat, unele be\u021bi\u015foare de bambus au disp\u0103rut, iar altele s-au rupt, transcrierea textelor a fost o adev\u0103rat\u0103 provocare pentru cercet\u0103tori.<\/p>\n<p>Oamenii de \u015ftiin\u0163\u0103 au observat un &#8222;desen&#8221; format din 21 de be\u0163e de bambus, pe care erau \u00eenscrise doar numere. Dar, dup\u0103 cum au sugerat matematicienii chinezi, acesta constituia cel mai vechi tabel de multiplicare cunoscut \u00een lume. \u00cen cazul \u00een care be\u0163ele sunt plasate \u00een mod corespunz\u0103tor, se va observa c\u0103 linia de sus \u0219i coloana cea mai din dreapta con\u021bine acelea\u0219i 19 numere, dispuse de la dreapta la st\u00e2nga \u0219i de sus \u00een jos, respectiv: 0,5, numerele \u00eentregi de la 1 la 9, precum \u0219i numerele care pot fi \u00eemp\u0103r\u021bite la 10, dela 10 la 90.<\/p>\n<p>Ca \u0219i \u00een tabelele de multiplicare zecimale moderne, numerele de la intersec\u021bia fiec\u0103rui r\u00e2nd \u0219i coloan\u0103 reprezint rezultatele multiplic\u0103rii numerelor relevante. Tabelul poate fi utilizat \u0219i pentru a multiplica un num\u0103r \u00eentreg sau un num\u0103r \u00eentreg \u0219i jum\u0103tate (0,5-99,5). \u00cen conformitate cu o versiune de lucru, numerele care nu sunt reprezentate \u00een tabel, trebuie mai \u00eent\u00e2i s\u0103 fie defalcate \u00een componente.De exemplu, 22,5 x 35,5 poate fi transformat dup\u0103 cum urmeaz\u0103: (20 + 2 + 0,5) x (30 + 5 + 0,5). Pentru a rezolva aceast\u0103 problem\u0103, ar trebui s\u0103 efectueze 9 multiplic\u0103ri de 20 \u00d7 30, 20 \u00d7 5, 20 x 0,5, 2 \u00d7 30 \u0219i a\u0219a mai departe. Rezultatul final va fi suma acestor rezultate. Acesta este un calculator destul de eficient.<\/p>\n<p>Dintre cele mai vechi tratate matematice chineze\u015fti cunoscute putem aminti <em>&#8222;Aritmetica clasic\u0103 a lui Gnomon&#8221;<\/em> (de Zhou Bi Suan Jing\u00a0 &#8211; sec.5 \u00ee.Hr.) \u0219i <em>&#8222;Tratat de matematic\u0103 \u00een nou\u0103 sec\u021biuni&#8221;<\/em> (de Chiu Chang Suan Shu &#8211; sec.1 \u00ee.Hr.)<\/p>\n<p>Tabla de multiplicare descoperit\u0103 probabil c\u0103 a fost folosit\u0103 de c\u0103tre oficialii chinezi pentru a calcula suprafa\u021bele de teren, pentru a calcula recoltele sau impozitele. Acest calculator str\u0103vechi putea fi, de asemenea, folosit pentru diviziunea \u0219i extragerea r\u0103d\u0103cinilor p\u0103trate. Cu toate acestea, oamenii de \u015ftiin\u0163\u0103 nu sunt siguri dac\u0103 astfel de opera\u021biuni complexe au fost efectuate \u00een acea perioad\u0103. \u00cen orice caz, conform istoriculului de matematic\u0103 de la Universitatea din New York, Joseph Dauben, acesta este unul dintre cel mai vechi artefact al unui tabel de multiplicare zecimal.<\/p>\n<p>\u00cen Europa, primele tabele de multiplicare au ap\u0103rut doar \u00een timpul epocii renascentiste.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u00cen urm\u0103 cu aproximativ 2.300 de ani, vechii chinezi au scris cel mai vechi tabel zecimal de multiplicare din lume, pe ni\u015fte be\u021be de bambus. Potrivit exper\u021bilor, acesta era un calculator foarte eficient, care putea s\u0103 fac\u0103 calculele nu numai &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"Cel mai vechi calculator din lume are 2.300 de ani vechime \u015fi a fost construit de chinezi\" class=\"read-more button\" href=\"https:\/\/www.lovendal.ro\/wp52\/cel-mai-vechi-calculator-din-lume-are-2-300-de-ani-vechime-si-a-fost-construit-de-chinezi\/#more-32556\" aria-label=\"Cite\u0219te mai multe despre Cel mai vechi calculator din lume are 2.300 de ani vechime \u015fi a fost construit de chinezi\">Cititi mai multe<\/a><\/p>\n","protected":false},"author":1,"featured_media":98967,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[9],"tags":[4658,7375,4108,7632,7634,6102,7633,902,7304,446,5042,1753,2596,7589,3433,1532,1722,315,525,3507,3957,2447,7635,2250],"class_list":["post-32556","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-istorie","tag-agricultura","tag-aritmetica","tag-artefact","tag-bambus","tag-bat","tag-beijing","tag-calcul","tag-calculator","tag-cerneala","tag-china","tag-comert","tag-hong-kong","tag-impozit","tag-industrie","tag-irigatie","tag-istorie-si-civilizatii","tag-matematica","tag-mormant","tag-new-york","tag-numar","tag-populatie","tag-recolta","tag-teren","tag-universitate","resize-featured-image"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v23.3 (Yoast SEO v27.4) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Cel mai vechi calculator din lume are 2.300 de ani vechime \u015fi a fost construit de chinezi - Secretele lui Lovendal<\/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:\/\/www.lovendal.ro\/wp52\/cel-mai-vechi-calculator-din-lume-are-2-300-de-ani-vechime-si-a-fost-construit-de-chinezi\/\" \/>\n<meta property=\"og:locale\" content=\"ro_RO\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Cel mai vechi calculator din lume are 2.300 de ani vechime \u015fi a fost construit de chinezi\" \/>\n<meta property=\"og:description\" content=\"\u00cen urm\u0103 cu aproximativ 2.300 de ani, vechii chinezi au scris cel mai vechi tabel zecimal de multiplicare din lume, pe ni\u015fte be\u021be de bambus. 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Potrivit exper\u021bilor, acesta era un calculator foarte eficient, care putea s\u0103 fac\u0103 calculele nu numai ... 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