Algebra i kombinatorika v teorii gladkikh prodolzheniy » książka
Algebra i kombinatorika v teorii gladkikh prodolzheniy
ISBN-13: 9783659553523 / Rosyjski / Miękka / 2014 / 84 str.
V rabote razvit kombinatornyy podkhod k prodolzheniyu gladkikh funktsiy mnogikh peremennykh, opredelennykh na semeystvakh zamknutykh mnozhestv. Predlozheny universal'nye skhemy prodolzheniya, zavisyashchie tol'ko ot raspolozheniya mnozhestv semeystva (no ne ot iskhodnykh gladkikh funktsiy). Ustanovlena svyayayaz' razvitoy teorii prodolzheniya s zakonami distributivnosti dlya binarnykh operatsiy nad idealami v kol'tsakh gladkikh funktsiy. Dlya studentov i aspirantov fiziko-matematicheskikh spetsial'nostey.
V rabote razvit kombinatornyy podkhod k prodolzheniyu gladkikh funktsiy mnogikh peremennykh, opredelennykh na semeystvakh zamknutykh mnozhestv. Predlozheny universalnye skhemy prodolzheniya, zavisyashchie tolko ot raspolozheniya mnozhestv semeystva (no ne ot iskhodnykh gladkikh funktsiy). Ustanovlena svyayayaz razvitoy teorii prodolzheniya s zakonami distributivnosti dlya binarnykh operatsiy nad idealami v koltsakh gladkikh funktsiy. Dlya studentov i aspirantov fiziko-matematicheskikh spetsialnostey.
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