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PROBLEM TO BE SOLVED : To precisely measure a magnetic field by a magnetoresistive element. SOLUTION : This invention relates to the magnetoresistive element which has a manganese oxide with a composition represented by one of general formulae R1-xAxMnO3, R2-2xA1+2xMn2O7, or R1-xA1+xMnO4(R : an element which is one of rare earth, Bi and Y, A : an element which is one of alkaline earth metal elements, and x : >0 to COPYRIGHT : (C)2011, JPO&INPIT