Aleksandr Filichev

Matritsy Adamara: Poisk Zakonomernostey V Ikh Poryadkakh Aleksandr Filichev Russian edition

Issledovanie problemy Adamara yavlyaetsya aktual'noy zadachey, tak kak matritsy Adamara shiroko primenyayutsya v kombinatorike, chislennom analize, v teorii kodirovaniya informatsii i ispravleniya oshibok. Reshenie problemy Adamara sushchestvenno uprostit protsessy kodirovaniya dannykh, peredachi informatsii, a takzhe umen'shit veroyatnost' vozniknoveniya oshibok v etikh protsessakh. Izuchenie ukazannoy problemy stroitsya na osnove idei nakhozhdeniya zakonomernostey v izvestnykh utverzhdeniyakh, po kotorym dokazyvayutsya sushchestvovaniya matrits Adamara togo ili inogo poryadka. V rezul'tate issledovaniy poluchen ryad zakonomernostey, ispol'zuya kotorye mozhno s nekotoroy veroyatnost'yu predpolozhit', kakaya iz formul opredelyaet sushchestvovanie matritsy Adamara nekotorogo dopustimogo poryadka. Vyyavlennye v nastoyashchey rabote zakonomernosti imeyut vesomoe teoreticheskoe i prakticheskoe znachenie s tochki zreniya teorii kodirovaniya i peredachi informatsii i mogut byt' primeneny v razlichnykh informatsionnykh sistemakh.