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Annotaciya. Analizirujutsya matematicheskie osnovy procedury v chasti idei balansirovki (korrektirovki) matrichnoj informacii, kogda ozhidaemye okajmleniya (krajnie obshhie kolichestva) izvestny. Issledujutsya v osnovnom jempiricheskie podhody, v dal'nejshem poluchivshie nazvanie metod RAS i ego modifikacii. Predlozheny puti preodoleniya sushhestvennyh nedostatkov shiroko ispol'zuemoj procedury "RAS" (takzhe izvestnoj kak "bi-proportional" metod) dlya balansirovki matric. Preemstvennost' proishozhdeniya termina i drugie terminologicheskie njuansy obsuzhdajutsya v processe kriticheskogo analiza metod RAS i ego modifikacii. Abstract. Analyzes the mathematical foundations of a procedures in balancing ideas (corrections) of the information matrix when the expected collateral borders (last totals ) are known . Empirical approaches are mainly investigated known also as RAS method and its modifications. Proposed ways of overcoming significant disadvantages of the widely used procedure "RAS" (also known as "bi-proportional" method) for balancing matrices. The continuity of the origins of the term and other terminological nuances are discussed in the course of the critical analysis the RAS method and its modifications.