| Zadachi R. Bellmana I D. Knuta I Ikh Obobshcheniya Contributor(s): Kochergin Vadim Vasil'evich (Author) |
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ISBN: 3847391704 ISBN-13: 9783847391708 Publisher: Palmarium Academic Publishing OUR PRICE: $81.05 Product Type: Paperback Language: Russian Published: March 2012 |
| Additional Information |
| BISAC Categories: - Mathematics |
| Physical Information: 0.88" H x 6" W x 9" (1.28 lbs) 396 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: V monografii rassmatrivayutsya obobshcheniya klassicheskoy zadachi o naiskoreyshem vozvedenii v stepen', t. e. zadachi o nakhozhdenii slozhnosti vozvedeniya v stepen' - minimal'nogo chisla umnozheniy, dostatochnogo dlya vychisleniya po peremennoy zadannoy stepeni etoy peremennoy. Eta zadacha takzhe khorosho izvestna kak zadacha ob additivnykh tsepochkakh. Pomimo postavlennoy v 1963 g. R. Bellmanom zadachi o slozhnosti vychisleniya odnochlena ot mnogikh peremennykh i postavlennoy v 1969 g. D. Knutom zadachi o slozhnosti vychisleniya sistemy stepeney odnoy peremennoy v knige v asimptoticheskoy postanovke issleduyutsya i dal'neyshie obobshcheniya iskhodnoy zadachi. Osnovnoe vnimanie udeleno trem zadacham - zadache o slozhnosti vychisleniya sistem odnochlenov, zadache o slozhnosti vychisleniya sistem tselochislennykh lineynykh form (eta zadacha, kak pravilo, rassmatrivaetsya v additivnoy postanovke) i zadache o slozhnosti vychisleniya sistem elementov svobodnoy abelevoy gruppy. Izuchayutsya obshchie zakonomernosti i razlichiya mezhdu etimi tremya zadachami s tochki zreniya povedeniya slozhnosti. Daetsya obzor izvestnykh rezul'tatov v etoy oblasti, a takzhe predstavlen ryad poluchennykh v poslednee vremya rezul'tatov avtora. |