{"product_id":"0887254646723","title":"Dvorak","description":"Pod kvazimetrikoy obychno podrazumevaetsya neotritsatel'naya funktsiya d= d(u,v), opredelennaya na A×A, gde A − nekotoroe mnozhestvo, takaya, chto dlya nee vypolnyayutsya metricheskie aksiomy tozhdestva, simmetrii i obobshchennoe neravenstvo treugol'nika. Para (A,d) nazyvaetsya kvazimetricheskim prostranstvom ili kvaziprostranstvom. Izuchenie kvaziprostranstv motivirovano zadachami teorii subellipticheskikh uravneniy, singulyarnoy geometrii, i dr. Chastnym sluchaem kvaziprostranstv yavlyayutsya kvaziprostranstva s kvazimetrikami, ekvivalentnnymi metrikam Karno−Karateodori. V rabote issledovana geometriya podobnykh kvaziprostranstv kak takovykh (metriki i kvazimetriki, gorizontal'nye krivye, lokal'nye approksimatsii model'nymi prostranstvami, razlichnye tipy podoblastey), a takzhe lokal'nye svoystva sistem vektornykh poley, zadayushchikh takie struktury, i sootvetstvuyushchikh eksponentsial'nykh otobrazheniy. V tsentre vnimaniya nakhoditsya slozhnaya dlya analiza situatsiya struktur maloy gladkosti. Dokazany teoremy o sushchestvovanii odnorodnoy nil'potentnoy approksimatsii dlya bazisnykh vektornykh poley pri minimal'nykh predpolozheniyakh na ikh gladkost', postroeny primery ravnomernykh i NTA oblastey v geometrii Karno−Karateodori, i dr.","brand":"SONY CLASS","offers":[{"title":"Default Title","offer_id":47094504882416,"sku":"0887254646723","price":9.99,"currency_code":"USD","in_stock":false}],"url":"https:\/\/shop-qa.barnesandnoble.com\/products\/0887254646723","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}