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Nazdikshavii mutlaq

Nazdikshavii mutlaq dar matematika, yake az navhoi nazdikshavii qatorho va integralhost. Agar qatori az qimathoi mutlaqi har yak azoi qatori u1 + u2 + … + un + … tartib dodashuda |u1|+|u2|+…+|un|+… napdikshavayda boshad, qatori adadii u1 + u2 + … + un + …  mutlaq naz­dik shavanda nomida meshavad. Mafhumi Nazdikshavii mutlaq va nazdikshavii shartii qatorhoro dar matematika O. Koshi (1833), P. Dirikhle (1837) va B. Riman (1853) jori namudaand. Khosiyati mutlaq nazdikshavii qatorho ba khosiyati summahoi bointiho monand ast; har guna qatori mutlaq nazdikshavanda meboshad va summai on ba tartibi azohoi qator vobas­ta nameboshad; baroi qatorhoi shartan nazdikshavanda in khosiyat joiz nest. Qatorhoi mutlaq nazdikshavanda nisbat ba jam va zarbi azo ba azo halqaro tashkil medihand. Mutlaq nazdikshavandagii intepralhoi gayrikhos niz hamin tavr muay­yan karda meshavad. Agar dar barobari nazdik shudani I =   inytegrali     ham nazdikshavanda boshad, I mutlaq nazdikshavanda nomida meshavad.

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SATHI VINTI

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