{"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\/news\/rossijskij-matematik-nashel-klyuch-k-nereshaemym-uravneniyam-xix-veka-eto-uprostit-raschety-v-fizike-i-kosmonavtike","title":{"rendered":"Nj\u00eb matematicien rus gjeti \u00e7el\u00ebsin p\u00ebr ekuacionet \"t\u00eb patregueshme\" t\u00eb shekullit XIX: kjo do t\u00eb thjeshtoj\u00eb llogaritjet n\u00eb fizik\u00eb dhe astronautik\u00eb","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"

Universiteti K\u00ebrkues Komb\u00ebtar \u00abShkolla e Lart\u00eb e Ekonomis\u00eb\u00bb (NIU HSE) njoftoi<\/a>, q\u00eb matematicieni Ivan Remizov nga Nizhni Novgorod zbuloi mund\u00ebsin\u00eb p\u00ebr nj\u00eb zgjidhje t\u00eb kushteve t\u00eb thjeshta p\u00ebr ekuacionet diferenciale t\u00eb rendit t\u00eb dyt\u00eb me koeficient\u00eb variab\u00ebl. P\u00ebr pothuajse dy shekuj, k\u00ebto ekuacione jan\u00eb 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 procese dinamike.<\/p>\n

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

Historikisht, kufizimi ka qen\u00eb i lidhur me rezultatet e matematicienit francez Joseph Liouville, i cili q\u00eb n\u00eb vitin 1834 tregoi se zgjidhjet e k\u00ebtij lloji ekuacionesh nuk mund t\u00eb shprehen n\u00ebp\u00ebrmjet nj\u00eb numri t\u00eb kufizuar operacioneve standarde dhe funksioneve elementare. P\u00ebr k\u00ebt\u00eb arsye, matematicien\u00ebt ishin t\u00eb detyruar ose t\u00eb k\u00ebrkonin zgjidhje t\u00eb pjesshme, ose t\u00eb p\u00ebrdornin afrime, gj\u00eb q\u00eb p\u00ebrjashtonte nj\u00eb metodik\u00eb universale dhe shum\u00eb e komplikonte 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 futej thjesht<\/p>\n

Sipas Ivan Remizov, ai propozoi nj\u00eb qasje t\u00eb re duke zgjeruar klas\u00ebn e operacioneve matematikore t\u00eb lejueshme. Ai nuk argumentoi me Liouville, por thjesht shtoi n\u00eb ekuacionet nj\u00eb mjet tjet\u00ebr matematikor \u2014 gjetjen e kufirit t\u00eb nj\u00eb sekuence. P\u00ebr k\u00ebt\u00eb, matematicieni e p\u00ebrdori teorin\u00eb e \u010cernovit dhe transformimin e Laplace-it. Kjo i lejojti atij t\u00eb nd\u00ebrtosh\u00eb nj\u00eb formul\u00eb universale, e cila formalisht jep nj\u00eb zgjidhje p\u00ebr \u00e7do ekuacion t\u00eb klas\u00ebs<\/p>\n

\u00abThelbi i ides\u00eb \u00ebsht\u00eb q\u00eb nj\u00eb proces kompleks, i vazhduesh\u00ebm t\u00eb ndryshoj\u00eb, t\u00eb ndahet n\u00eb nj\u00eb num\u00ebr t\u00eb pafund hapash t\u00eb thjesht\u00eb. P\u00ebr \u00e7do fraz\u00eb t\u00eb till\u00eb nd\u00ebrtimi krijohet nj\u00eb afrim \u2014 nj\u00eb fragment elementar, i cili p\u00ebrshkruan sjelljen e sistemit n\u00eb nj\u00eb pik\u00eb specifike. Ve\u00e7mas, k\u00ebto fragmente japin vet\u00ebm nj\u00eb pamje t\u00eb thjeshtuar, por, kur numri i tyre ngjitet n\u00eb pafund\u00ebsi, ato lidhen pa probleme n\u00eb nj\u00eb grafik t\u00eb zgjidhjes me sakt\u00ebsi t\u00eb p\u00ebrsosur\u00bb, shpjegohet n\u00eb nj\u00eb njoftim p\u00ebr shtyp nga NIU HSE.<\/p>\n

\u00abRregullat diferenciale t\u00eb rendit t\u00eb dyt\u00eb p\u00ebrdoren jo vet\u00ebm p\u00ebr t\u00eb modeluar ngjarje t\u00eb bot\u00ebs reale, por edhe p\u00ebr t\u00eb p\u00ebrcaktuar funksione t\u00eb reja q\u00eb nuk mund t\u00eb p\u00ebrcaktohen ndryshe. K\u00ebtu p\u00ebrfshihen, p\u00ebr shembull, 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 Koliderin e Madh Hadron\u00bb.<\/p>\n

Nj\u00eb gjuh\u00eb matematikore pak m\u00eb t\u00eb komplikuar mbi zbulimin mund t\u00eb lexohet<\/a> n\u00eb faqen e NIN HSE. N\u00eb anglisht, puna u publikua<\/a> \u00ebsht\u00eb plot\u00ebsisht n\u00eb \u00abRevist\u00ebn Matematikore Vladikavkaz\u00bb.<\/p>\n

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