{"id":6184,"date":"2018-04-11T18:10:09","date_gmt":"2018-04-11T18:10:09","guid":{"rendered":"http:\/\/www.shqiperia.com\/blog\/?p=6184"},"modified":"2018-04-11T18:10:09","modified_gmt":"2018-04-11T18:10:09","slug":"kush-e-shpiku-zeron-evropianet-shihnin-djallin-brenda-atij-rrethi-te-vogel","status":"publish","type":"post","link":"https:\/\/www.shqiperia.com\/blog\/kush-e-shpiku-zeron-evropianet-shihnin-djallin-brenda-atij-rrethi-te-vogel\/","title":{"rendered":"Kush e shpiku Zeron? Evropianet shihnin djallin brenda atij rrethi t\u00eb vog\u00ebl –"},"content":{"rendered":"

\"\"<\/p>\n

Kush e shpiku Zeron?\u00a0<\/strong><\/p>\n

Dhe \u00e7far\u00eb \u00ebsht\u00eb m\u00eb e r\u00ebnd\u00ebsishme se Zero?<\/strong><\/p>\n

Evropianet shihnin djallin brenda atij rrethi t\u00eb vog\u00ebl,<\/p>\n

Gjendet n\u00eb dor\u00ebshkrimet e lashta, lindi n\u00eb Indi, u p\u00ebrhap nga mysliman\u00ebt, q\u00eb me t\u00eb shpik\u00ebn algjebr\u00ebn dhe algoritmet. Dhe a e dini? N\u00eb Evrop\u00eb e ndaluan ca koh\u00eb, se e njehsonin me djallin<\/strong><\/p>\n

Kur ishit nj\u00eb f\u00ebmij\u00eb i vog\u00ebl, edhe para se t\u00eb trajtonit problemin tuaj t\u00eb par\u00eb n\u00eb or\u00ebn e matematik\u00ebs, ndoshta ju \u00ebsht\u00eb dashur t\u00eb zgjidhni nj\u00eb problem si ky. Ju keni pes\u00eb \u00e7okollata dhe hani pes\u00eb. Sa ju kan\u00eb mbetur? E sakt\u00eb: trishtim. Dhe gjithashtu s\u2019keni m\u00eb \u00e7okollata. Por edhe pse edhe f\u00ebmij\u00ebt e vegj\u00ebl mund t\u00eb kuptojn\u00eb \u201chi\u00e7in\u201d, koncepti i \u201czeros\u201d \u00ebsht\u00eb n\u00eb fakt pak m\u00eb i avancuar; aq i p\u00ebrparuar, n\u00eb t\u00eb v\u00ebrtet\u00eb, sa n\u00eb vitin 1200, ai sapo kish mb\u00ebrritur tek matematicien\u00ebt m\u00eb t\u00eb mir\u00eb n\u00eb Evrop\u00eb. Kjo \u00ebsht\u00eb historia e shpikjes s\u00eb zeros, dhe se si nj\u00eb \u201chi\u00e7\u201d p\u00ebrfundoi duke ndryshuar bot\u00ebn.<\/p>\n

T\u00eb b\u00ebsh di\u00e7ka nga asgj\u00ebja<\/p>\n

Ting\u00ebllon pothuaj e pamundur q\u00eb njer\u00ebzit e lasht\u00eb nuk e kishin konceptin e \u201czeros\u201d. Edhe kafsh\u00ebt e kuptojn\u00eb asgj\u00ebn\u00eb. Por, ka nj\u00eb dallim mes asgj\u00ebs\u00eb, si nj\u00eb zbraz\u00ebti t\u00eb prekshme, dhe zeros si koncept matematikor. Nj\u00eb pararend\u00ebse e zeros matematikore mund t\u00eb shihet n\u00eb sistemin m\u00eb t\u00eb hersh\u00ebm t\u00eb njohur t\u00eb num\u00ebrimit, i hartuar nga Sumer\u00ebt. N\u00eb fillim, ata p\u00ebrdornin nj\u00eb hap\u00ebsir\u00eb boshe p\u00ebr t\u00eb treguar nj\u00eb vler\u00eb t\u00eb \u201casgj\u00ebs\u00eb\u201d, dhe kur kur b\u00ebheshin gjithnj\u00eb e m\u00eb ngat\u00ebrruese, ata nis\u00ebn t\u00eb p\u00ebrdorin nj\u00eb \u00e7ift pykash me k\u00ebnde, p\u00ebr t\u00eb mbajtur nj\u00eb hap\u00ebsir\u00eb boshe. Mbajt\u00ebse t\u00eb ngjashme t\u00eb hap\u00ebsir\u00ebs boshe mund t\u00eb gjenden n\u00eb sisteme t\u00eb tjera t\u00eb num\u00ebrimit, duke p\u00ebrfshir\u00eb ato t\u00eb Majave dhe Babilonasve. Por shumica e studiuesve bien dakord se zero \u00ebsht\u00eb nj\u00eb koncept me origjin\u00eb n\u00eb Indi.<\/p>\n

P\u00ebrdorimi m\u00eb i hersh\u00ebm i simbolit t\u00eb rrumbullak\u00ebt q\u00eb do t\u00eb b\u00ebhej zeroja universale, vjen nga dor\u00ebshkrimi Bakhshali, dokumenti i nj\u00eb tregtari q\u00eb shpjegon ekuacionet matematikore p\u00ebr transaksione t\u00eb ndryshme. Ai p\u00ebrfshin gjithashtu nj\u00eb mbajt\u00ebs t\u00eb zeros, n\u00eb form\u00ebn e nj\u00eb pike t\u00eb zez\u00eb dhe p\u00ebrdorej gjer\u00ebsisht n\u00eb Indi n\u00eb shekullin e 3 ose 4. Vet\u00ebm disa shekuj m\u00eb von\u00eb, simboli u p\u00ebrdor nga studiuesi legjendar matematikor Brahmagupta. N\u00eb shekullin e 7-t\u00eb, ai shkroi shpjegimin m\u00eb t\u00eb hersh\u00ebm t\u00eb asaj se si funksionon sakt\u00ebsisht zero: \u201cKur zero i shtohet nj\u00eb numri ose zbritet nga nj\u00eb num\u00ebr, numri mbetet i pandryshuar. Nj\u00eb num\u00ebr i shum\u00ebzuar me zero b\u00ebhet zero\u201d.<\/p>\n

Ai gjithashtu shkruante se zbritja e nj\u00eb numri pozitiv nga zero jep nj\u00eb num\u00ebr negativ dhe se zbritja e nj\u00eb numri negativ nga zero jep nj\u00eb num\u00ebr pozitiv. Kjo \u00ebsht\u00eb llogaria e par\u00eb e njohur, q\u00eb b\u00ebn t\u00eb ditur se si zero funksionon.<\/p>\n

\"\"<\/p>\n

Pasi zero u p\u00ebrhap n\u00eb n\u00ebnkontinentin indian, ishte vet\u00ebm \u00e7\u00ebshtje kohe para se kulturat e tjera t\u00eb fillonin t\u00eb njihnin dometh\u00ebnien e saj. Kina dhe gadishulli Arabik ishin t\u00eb par\u00ebt (megjith\u00ebse vlen t\u00eb p\u00ebrmendet se disa historian\u00eb besojn\u00eb se zeroja e arab\u00ebve ishte ishte nj\u00eb pasardh\u00ebse e drejtp\u00ebrdrejt\u00eb e zerove pararend\u00ebse t\u00eb Sumeris\u00eb dhe Babilonis\u00eb) dhe ishte n\u00eb sistemin numerik arab, ku s\u00eb pari mori form\u00ebn e nj\u00eb boshll\u00ebku oval. Matematikan\u00ebt mysliman\u00eb e quanin simbolin \u201csifr\u201d (e b\u00ebr\u00eb n\u00eb anglisht \u201ccipher\u201d \u2013 shif\u00ebr, pra) dhe me t\u00eb, shpik\u00ebn algjebr\u00ebn dhe algoritmet. Dhe nd\u00ebrsa Islami u p\u00ebrhap n\u00eb Afrik\u00eb, edhe zeroja u nis n\u00eb udh\u00ebtim.<\/p>\n

Por pas k\u00ebsaj, ajo ndeshi n\u00eb disa probleme. Konkretisht, me evropian\u00ebt. Kur Mor\u00ebt pushtuan Spanj\u00ebn, ata soll\u00ebn matematik\u00ebn me vete, dhe prej atje, zero mb\u00ebrriti n\u00eb Itali. Atje ajo u nxor jasht\u00eb ligjit. Po, udh\u00ebheq\u00ebsit fetar\u00eb t\u00eb Evrop\u00ebs shihnin djallin brenda atij rrethi t\u00eb vog\u00ebl, t\u00eb cilin e lidhnin fort me Islamin. Por numri nuk pushoi s\u00eb qeni i dobish\u00ebm, dhe tregtar\u00ebt e dinin mir\u00eb. Pra, kur ata e p\u00ebrfshinin zero n\u00eb librat e tyre, e b\u00ebnin k\u00ebt\u00eb n\u00eb fsheht\u00ebsi \u2013 dhe fjala \u201cshif\u00ebr\u201d u b\u00eb sinonim i \u201ckodit\u201d.<\/p>\n

P\u00ebr fat t\u00eb mir\u00eb p\u00ebr matematik\u00ebn evropiane, tabuja nuk zgjati. Pa zeron, Njutoni dhe Leibnizi nuk do t\u00eb kishin qen\u00eb n\u00eb gjendje t\u00eb shpiknin aritmetik\u00ebn, Descartes nuk do mund t\u00eb kishte zbuluar se si t\u00eb grafikonte pikat dhe shit\u00ebsit e makinave nuk do t\u00eb ishin n\u00eb gjendje t\u00eb verbonin klient\u00ebt me fraza misterioze \u201c0% APR\u201d. \/ Bota.al<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"

Kush e shpiku Zeron?\u00a0 Dhe \u00e7far\u00eb \u00ebsht\u00eb m\u00eb e r\u00ebnd\u00ebsishme se Zero? Evropianet shihnin djallin brenda atij rrethi t\u00eb vog\u00ebl, Gjendet n\u00eb dor\u00ebshkrimet e lashta, lindi n\u00eb Indi, u p\u00ebrhap nga mysliman\u00ebt, q\u00eb me t\u00eb shpik\u00ebn algjebr\u00ebn dhe algoritmet. Dhe a e dini? N\u00eb Evrop\u00eb e ndaluan ca koh\u00eb, se e njehsonin me djallin Kur […]<\/p>\n","protected":false},"author":9,"featured_media":6185,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[27,35],"tags":[],"class_list":["post-6184","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-blogu-i-udhetarit","category-shoqerore"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"https:\/\/i0.wp.com\/www.shqiperia.com\/blog\/wp-content\/uploads\/2018\/04\/Screen-Shot-2017-11-14-at-21.08.56-Copy.jpg?fit=1256%2C702&ssl=1","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p5Z6wp-1BK","jetpack-related-posts":[{"id":100063,"url":"https:\/\/www.shqiperia.com\/blog\/batutat-e-rames-gjermanet-jane-prapa-nesh-me-dixhitalizimin-neper-ministri-punojne-akoma-me-fax\/","url_meta":{"origin":6184,"position":0},"title":"Batutat e Ram\u00ebs: – Gjerman\u00ebt jan\u00eb prapa nesh me dixhitalizimin. – N\u00ebp\u00ebr ministri punojn\u00eb akoma me \u2018fax\u2019!","author":"Kurt Farka","date":"May 9, 2026","format":false,"excerpt":"9 Maji 2026 Kryeministri Edi Rama deklaroi se programi \u201cEU4Municipalities II\u201d \u00ebsht\u00eb nj\u00eb instrument i r\u00ebnd\u00ebsish\u00ebm p\u00ebr modernizimin e institucioneve vendore dhe rritjen e kapaciteteve njer\u00ebzore n\u00eb bashkit\u00eb shqiptare. Gjat\u00eb fjal\u00ebs s\u00eb tij n\u00eb aktivitetin e nisjes s\u00eb programit, Rama tha se sfida m\u00eb e madhe aktuale mbetet forcimi i\u2026","rel":"","context":"In "Blogu i Udh\u00ebtarit"","block_context":{"text":"Blogu i Udh\u00ebtarit","link":"https:\/\/www.shqiperia.com\/blog\/category\/blogu-i-udhetarit\/"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/www.shqiperia.com\/blog\/wp-content\/uploads\/2026\/05\/rama-kuvend_1-1.jpg?fit=640%2C433&ssl=1&resize=350%2C200","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/www.shqiperia.com\/blog\/wp-content\/uploads\/2026\/05\/rama-kuvend_1-1.jpg?fit=640%2C433&ssl=1&resize=350%2C200 1x, https:\/\/i0.wp.com\/www.shqiperia.com\/blog\/wp-content\/uploads\/2026\/05\/rama-kuvend_1-1.jpg?fit=640%2C433&ssl=1&resize=525%2C300 1.5x"},"classes":[]},{"id":100148,"url":"https:\/\/www.shqiperia.com\/blog\/avokati-i-popullit-harron-hallet-e-popullit-kycet-ne-zyre-me-sekretaren-pasi-mbyllen-dyert-kercasin-gotat-pune-edhe-ne-oret-e-pasdites\/","url_meta":{"origin":6184,"position":1},"title":"Avokati i Popullit \u201charron\u201d hallet e popullit, ky\u00e7et n\u00eb zyr\u00eb me sekretaren, pasi mbyllen dyert \u2018k\u00ebrcasin\u2019 gotat. \u2018Pun\u00eb\u2019 edhe n\u00eb or\u00ebt e pasdites!","author":"Kurt Farka","date":"May 12, 2026","format":false,"excerpt":"12 Maji 2026 Nga OraNews. 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