{"id":155545,"date":"2026-01-27T23:12:35","date_gmt":"2026-01-27T21:12:38","guid":{"rendered":"https:\/\/prohoster.info\/blog\/novosti-interneta\/rossijskij-matematik-nashel-klyuch-k-nereshaemym-uravneniyam-xix-veka-eto-uprostit-raschety-v-fizike-i-kosmonavtike"},"modified":"2026-01-30T17:57:27","modified_gmt":"2026-01-30T15:57:27","slug":"rossijskij-matematik-nashel-klyuch-k-nereshaemym-uravneniyam-xix-veka-eto-uprostit-raschety-v-fizike-i-kosmonavtike","status":"publish","type":"post","link":"https:\/\/prohoster.info\/sq\/blog\/novosti-interneta\/rossijskij-matematik-nashel-klyuch-k-nereshaemym-uravneniyam-xix-veka-eto-uprostit-raschety-v-fizike-i-kosmonavtike","title":{"rendered":"Nj\u00eb matematicien rus zbuloi \u00e7el\u00ebsin p\u00ebr \"problemet e pazgjidhshme\" t\u00eb shekullit XIX: kjo do t\u00eb thjeshtoj\u00eb llogaritjet n\u00eb fizik\u00eb dhe kozmonautik\u00eb","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"

Universiteti Komb\u00ebtar k\u00ebrkues \u00abShkolla e Lart\u00eb e Ekonomis\u00eb\u00bb (NIU HSE) njoftoi<\/a>, se matematikani Ivan Remizov nga Nizhny Novgorod ka gjetur nj\u00eb mund\u00ebsi p\u00ebr nj\u00eb zgjidhje t\u00eb kushtueshme t\u00eb ekuacioneve diferenciale t\u00eb rendit t\u00eb dyt\u00eb me coeficient\u00eb variab\u00ebl. Gjat\u00eb gati dy shekujve, k\u00ebto ekuacione ishin konsideruar t\u00eb pazgjidhshme. Megjithat\u00eb, ato luajn\u00eb nj\u00eb rol ky\u00e7 n\u00eb matematik\u00eb dhe shkencat natyrore, pasi p\u00ebrdoren p\u00ebr t\u00eb p\u00ebrshkruar proceset dinamike.<\/p>\n

\"Nj\u00eb<\/p>\n

Historikisht, kufizimi ka qen\u00eb i lidhur me rezultatet e matematikani francez Joseph Liouville, i cili n\u00eb vitin 1834 tregoi se zgjidhjet e till\u00eb ekuacionesh nuk mund t\u00eb shprehen p\u00ebrmes nj\u00eb numri t\u00eb p\u00ebrfunduar t\u00eb operacioneve standarde dhe funksioneve elementare. p\u00ebr k\u00ebt\u00eb arsye, matematikant\u00ebt ishin t\u00eb detyruar t\u00eb k\u00ebrkonin zgjidhje t\u00eb pjesshme ose t\u00eb p\u00ebrdornin af\u00ebrsi, e cila p\u00ebrjashtonte metodik\u00ebn universale dhe komplikonte ndjesh\u00ebm llogaritjet. Me fjal\u00eb t\u00eb tjera, nuk ekzistonte nj\u00eb formul\u00eb e p\u00ebrgjithshme, n\u00eb t\u00eb cil\u00ebn mund t\u00eb thjeshtohej \"numerat\" dhe t\u00eb merrej zgjidhja.<\/p>\n

Ivan Remizov propozoi nj\u00eb qasje t\u00eb re, duke zgjeruar klas\u00ebn e operacioneve matematikore t\u00eb lejuara. Ai nuk i hyri polemikave me Liouville-in, por thjesht shtoi nj\u00eb veg\u00ebl tjet\u00ebr matematikore n\u00eb ekuacione \u2014 gjetjen e kufirit t\u00eb nj\u00eb sekuence. P\u00ebr k\u00ebt\u00eb, matematikani shfryt\u00ebzoi teorin\u00eb e Chernov dhe transformimin e Laplace. Kjo i dha atij mund\u00ebsin\u00eb t\u00eb nd\u00ebrtoj\u00eb nj\u00eb formul\u00eb universale, e cila formalisht ofron zgjidhjen p\u00ebr \u00e7do ekuacion t\u00eb klas\u00ebs \"t\u00eb pazgjidhshme\", duke u shmangur kufizimeve klasike t\u00eb teoris\u00eb.<\/p>\n

\"Thelbi i ides\u00eb \u00ebsht\u00eb se nj\u00eb proces i komplikuar dhe n\u00eb p\u00ebrhershm\u00ebri t\u00eb ndryshuesh\u00ebm ndahet n\u00eb nj\u00eb num\u00ebr t\u00eb pafund hapash t\u00eb thjesht\u00eb. P\u00ebr \u00e7do pjes\u00eb t\u00eb till\u00eb nd\u00ebrtohet nj\u00eb af\u00ebrsi \u2014 nj\u00eb fragment elementar, i cili p\u00ebrshkruan sjelljen e sistemit n\u00eb nj\u00eb pik\u00eb t\u00eb caktuar. N\u00eb m\u00ebnyr\u00eb t\u00eb ve\u00e7ant\u00eb, k\u00ebto copa ofrojn\u00eb vet\u00ebm nj\u00eb pamje t\u00eb thjesht\u00ebzuar, por, kur numri i tyre shkon n\u00eb pafund\u00ebsi, ato nd\u00ebrthuren pa probleme n\u00eb nj\u00eb grafik t\u00eb p\u00ebrsosur t\u00eb zgjidhjes\", shpjegohet n\u00eb njoftimin p\u00ebr shtyp t\u00eb NIU HSE.<\/p>\n

\"Ekuacionet diferenciale t\u00eb rendit t\u00eb dyt\u00eb p\u00ebrdoren jo vet\u00ebm p\u00ebr modelimin e ngjarjeve t\u00eb bot\u00ebs reale, por edhe p\u00ebr p\u00ebrcaktimin e funksioneve t\u00eb reja, t\u00eb cilat nuk mund t\u00eb sillen ndryshe. K\u00ebto p\u00ebrfshijn\u00eb, p\u00ebr shembull, funksionet e njohura si funksionet speciale t\u00eb Mathieu dhe Hill, t\u00eb cilat jan\u00eb kritikisht t\u00eb r\u00ebnd\u00ebsishme p\u00ebr t\u00eb kuptuar se si l\u00ebvizin satelit\u00ebt n\u00eb orbit\u00eb ose protonet n\u00eb Collidorin e Madhe Hadron.\"<\/p>\n

N\u00eb nj\u00eb gjuh\u00eb matematike pak m\u00eb t\u00eb komplikuar rreth zbulimit mund t\u00eb t\u00eb lexohen<\/a> shihni n\u00eb faqen e NIU HSE. N\u00eb anglisht, puna publikuar<\/a> \u00ebsht\u00eb publikuar plot\u00ebsisht n\u00eb \"Revist\u00ebn Matematike Vladikavkaz.\"<\/p>\n

Burimi:<\/strong><\/p>\n