a function that can be expressed as a root of an equation in which a polynomial, in the independent and dependent variables, is set equal to zero.
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British Dictionary definitions for algebraic function
maths any function which can be constructed in a finite number of steps from the elementary operations and the inverses of any function already constructedCompare transcendental function
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012