![\"\"](\"https:\/\/i0.wp.com\/www.shqiperia.com\/blog\/wp-content\/uploads\/2018\/04\/Screen-Shot-2017-11-14-at-21.08.56-Copy-300x168.jpg?resize=300%2C168\")
<\/p>\n<\/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 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":102322,"url":"https:\/\/www.shqiperia.com\/blog\/alimehmeti-rama-eshte-ne-momentin-e-tij-me-te-keq-qeveria-teknike-zgjidhja-e-vetme-per-krizen\/","url_meta":{"origin":6184,"position":0},"title":"Alimehmeti: – Rama \u00ebsht\u00eb n\u00eb momentin e tij m\u00eb t\u00eb keq, qeveria teknike zgjidhja e vetme p\u00ebr kriz\u00ebn","author":"Kurt Farka","date":"July 6, 2026","format":false,"excerpt":"6 Korrik 2026 Alimehmeti thot\u00eb se kryeministri po p\u00ebrpiqet t\u00eb largoj\u00eb v\u00ebmendjen nga akuzat ndaj tij, nd\u00ebrsa zgjidhja, mbetet largimi i Ram\u00ebs dhe krijimi i nj\u00eb qeverie teknike \u201cRama \u00ebsht\u00eb n\u00eb momentin e tij m\u00eb t\u00eb keq dhe, si \u00e7do bish\u00eb e plagosur, tenton t\u00eb b\u00ebj\u00eb sa m\u00eb shum\u00eb d\u00ebme\u201d,\u00a0u\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\/07\/Ilir-Alimehmeti.webp?fit=660%2C330&ssl=1&resize=350%2C200","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/www.shqiperia.com\/blog\/wp-content\/uploads\/2026\/07\/Ilir-Alimehmeti.webp?fit=660%2C330&ssl=1&resize=350%2C200 1x, https:\/\/i0.wp.com\/www.shqiperia.com\/blog\/wp-content\/uploads\/2026\/07\/Ilir-Alimehmeti.webp?fit=660%2C330&ssl=1&resize=525%2C300 1.5x"},"classes":[]},{"id":101881,"url":"https:\/\/www.shqiperia.com\/blog\/gazetari-holandez-edi-rama-eshte-kumbari-ne-shqiperi-kjo-studio-arkitekturore-ndertoi-vilen-e-tij-ne-surrel\/","url_meta":{"origin":6184,"position":1},"title":"Gazetari holandez: Edi Rama \u00ebsht\u00eb kumbari n\u00eb Shqip\u00ebri. Kjo studio arkitekturore nd\u00ebrtoi vil\u00ebn e tij n\u00eb Surrel","author":"Kurt Farka","date":"June 27, 2026","format":false,"excerpt":"27 Qershor 2026 Gazetari holandez Vincent van Gerven Oei q\u00eb \u00ebsht\u00eb marr\u00eb shum\u00eb m\u00eb investigime n\u00eb Shqip\u00ebri, p\u00ebr lidhjet e Edi Ram\u00ebs dhe vazhdimisht ka zbardhur detaje t\u00eb r\u00ebnd\u00ebsishme t\u00eb aferave shum\u00eb t\u00eb r\u00ebnd\u00ebsishme n\u00eb Shqip\u00ebri. N\u00eb nj\u00eb intervist\u00eb ekskluzive me Armela Fekron n\u00eb SYRI TV, ai tregon se si\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\/06\/Untitled-1-183-1024x538-1.jpg?fit=1024%2C538&ssl=1&resize=350%2C200","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/www.shqiperia.com\/blog\/wp-content\/uploads\/2026\/06\/Untitled-1-183-1024x538-1.jpg?fit=1024%2C538&ssl=1&resize=350%2C200 1x, https:\/\/i0.wp.com\/www.shqiperia.com\/blog\/wp-content\/uploads\/2026\/06\/Untitled-1-183-1024x538-1.jpg?fit=1024%2C538&ssl=1&resize=525%2C300 1.5x, https:\/\/i0.wp.com\/www.shqiperia.com\/blog\/wp-content\/uploads\/2026\/06\/Untitled-1-183-1024x538-1.jpg?fit=1024%2C538&ssl=1&resize=700%2C400 2x"},"classes":[]},{"id":102614,"url":"https:\/\/www.shqiperia.com\/blog\/marjana-koceku-per-median-holandeze-protestat-do-te-rriten-edhe-me-shume\/","url_meta":{"origin":6184,"position":2},"title":"Marjana Ko\u00e7eku p\u00ebr median holandeze: – Protestat do t\u00eb rriten edhe m\u00eb shum\u00eb!","author":"Kurt Farka","date":"July 13, 2026","format":false,"excerpt":"13 Korrik 2026 \u201cShqip\u00ebria ka qen\u00eb\u00a0 trazuar, shkak \u00ebsht\u00eb \u201cRevolucioni Flamingo\u201d. Deri tani, dhjet\u00ebra mij\u00ebra shqiptar\u00eb kan\u00eb dal\u00eb n\u00eb rrug\u00eb p\u00ebr m\u00eb shum\u00eb se 40 dit\u00eb, ku maksimumi i pjes\u00ebmarr\u00ebsve n\u00eb shesh ka qen\u00eb 250,000 qytetar\u00eb\u201d. K\u00ebshtu shkruan gazeta hollandeze \u201cde Volkskrant\u201d, p\u00ebr t\u00eb cil\u00ebn deputetja tashm\u00eb e pavarur Marjana\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\/07\/marjana-kocekui.png?fit=1182%2C780&ssl=1&resize=350%2C200","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/www.shqiperia.com\/blog\/wp-content\/uploads\/2026\/07\/marjana-kocekui.png?fit=1182%2C780&ssl=1&resize=350%2C200 1x, https:\/\/i0.wp.com\/www.shqiperia.com\/blog\/wp-content\/uploads\/2026\/07\/marjana-kocekui.png?fit=1182%2C780&ssl=1&resize=525%2C300 1.5x, https:\/\/i0.wp.com\/www.shqiperia.com\/blog\/wp-content\/uploads\/2026\/07\/marjana-kocekui.png?fit=1182%2C780&ssl=1&resize=700%2C400 2x, https:\/\/i0.wp.com\/www.shqiperia.com\/blog\/wp-content\/uploads\/2026\/07\/marjana-kocekui.png?fit=1182%2C780&ssl=1&resize=1050%2C600 3x"},"classes":[]},{"id":101704,"url":"https:\/\/www.shqiperia.com\/blog\/me-romantizma-politike-srrezohet-rama-shperthen-ashper-analisti-rruga-e-vetme-per-ta-larguar-dhuna\/","url_meta":{"origin":6184,"position":3},"title":"\u2018Me \u2018romantizma\u2019 politik\u00eb s\u2019rr\u00ebzohet Rama\u2019\/ \u2018Shp\u00ebrthen\u2019 ashp\u00ebr analisti: – Rruga e vetme p\u00ebr ta larguar, dhuna","author":"Kurt Farka","date":"June 22, 2026","format":false,"excerpt":"P\u00ebr analistin Andi Bushati, k\u00ebrkesat paq\u00ebsore t\u00eb qytetar\u00ebve n\u00eb shesh p\u00ebrfaq\u00ebsojn\u00eb thjesht nj\u00eb \u2018romantiz\u00ebm politik\u2019, i cili nuk gjen zgjidhje p\u00ebrball\u00eb nj\u00eb kryeministri q\u00eb nuk ka nd\u00ebrmend t\u00eb l\u00ebshoj\u00eb pushtetin. I ftuar n\u00eb nje studio televizive Bushati tha se pavar\u00ebsisht se \u00e7do kriz\u00eb rrug\u00ebdalje, t\u00ebrheqha e nj\u00eb lideri dhe reagimi\u2026","rel":"","context":"In "Njoftime Shtypi"","block_context":{"text":"Njoftime Shtypi","link":"https:\/\/www.shqiperia.com\/blog\/category\/njoftime-shtypi\/"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/www.shqiperia.com\/blog\/wp-content\/uploads\/2026\/06\/andi-bushati.jpg?fit=1024%2C570&ssl=1&resize=350%2C200","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/www.shqiperia.com\/blog\/wp-content\/uploads\/2026\/06\/andi-bushati.jpg?fit=1024%2C570&ssl=1&resize=350%2C200 1x, https:\/\/i0.wp.com\/www.shqiperia.com\/blog\/wp-content\/uploads\/2026\/06\/andi-bushati.jpg?fit=1024%2C570&ssl=1&resize=525%2C300 1.5x, https:\/\/i0.wp.com\/www.shqiperia.com\/blog\/wp-content\/uploads\/2026\/06\/andi-bushati.jpg?fit=1024%2C570&ssl=1&resize=700%2C400 2x"},"classes":[]},{"id":102319,"url":"https:\/\/www.shqiperia.com\/blog\/anuloni-shitjen-e-shqiperise-protestuesi-ky-eshte-revolucioni-i-shqiponjave\/","url_meta":{"origin":6184,"position":4},"title":"\u2018Anuloni shitjen e Shqip\u00ebris\u00eb!\u2019\/ Protestuesi: – Ky \u00ebsht\u00eb Revolucioni i Shqiponjave","author":"Kurt Farka","date":"July 6, 2026","format":false,"excerpt":"6 Korrik 2026 Nj\u00eb nga protestuesit q\u00eb mori fjal\u00ebn n\u00eb dit\u00ebn e 37-t\u00eb t\u00eb protest\u00ebs qytetare kund\u00ebr qeveris\u00eb s\u00eb Edi Ram\u00ebs l\u00ebshoi akuza t\u00eb forta p\u00ebr, sipas tij, keqmenaxhimin e pasurive natyrore t\u00eb vendit dhe braktisjen e interesit publik. Ai u b\u00ebri thirrje qytetar\u00ebve, ve\u00e7an\u00ebrisht emigrant\u00ebve, t\u00eb mos q\u00ebndrojn\u00eb indiferent\u00eb\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\/07\/WhatsApp-Image-2026-06-19-at-21.03.56-1-5.jpeg?fit=1200%2C900&ssl=1&resize=350%2C200","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/www.shqiperia.com\/blog\/wp-content\/uploads\/2026\/07\/WhatsApp-Image-2026-06-19-at-21.03.56-1-5.jpeg?fit=1200%2C900&ssl=1&resize=350%2C200 1x, https:\/\/i0.wp.com\/www.shqiperia.com\/blog\/wp-content\/uploads\/2026\/07\/WhatsApp-Image-2026-06-19-at-21.03.56-1-5.jpeg?fit=1200%2C900&ssl=1&resize=525%2C300 1.5x, https:\/\/i0.wp.com\/www.shqiperia.com\/blog\/wp-content\/uploads\/2026\/07\/WhatsApp-Image-2026-06-19-at-21.03.56-1-5.jpeg?fit=1200%2C900&ssl=1&resize=700%2C400 2x, https:\/\/i0.wp.com\/www.shqiperia.com\/blog\/wp-content\/uploads\/2026\/07\/WhatsApp-Image-2026-06-19-at-21.03.56-1-5.jpeg?fit=1200%2C900&ssl=1&resize=1050%2C600 3x"},"classes":[]},{"id":103039,"url":"https:\/\/www.shqiperia.com\/blog\/a-ka-ekzistuar-vertet-homeri-misteri-qe-historianet-vazhdojne-te-debatojne\/","url_meta":{"origin":6184,"position":5},"title":"A ka ekzistuar v\u00ebrtet Homeri? Misteri q\u00eb historian\u00ebt vazhdojn\u00eb t\u00eb debatojn\u00eb","author":"Kurt Farka","date":"July 21, 2026","format":false,"excerpt":"21 Korrik 2026 N\u00ebse pyesni se kush i shkroi Iliad\u00ebn ose Odisen\u00eb, kushdo q\u00eb ka njohuri p\u00ebr let\u00ebrsin\u00eb (ose \u00ebsht\u00eb i zoti n\u00eb loj\u00ebrat me pyetje) pa dyshim do t'ju thot\u00eb se autori ishte Homeri. 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