Noun
algebraic function (plural algebraic functions)
(algebraic geometry) Informally, any function expressible using (only) the operations of addition, subtraction, multiplication, division and raising to a rational power; more precisely, any continuous function definable as the root of some polynomial equation.
Quite often, algebraic functions are algebraic expressions using a finite number of terms and involving only the algebraic operations addition, subtraction, multiplication, division, and raising to a fractional power. Some algebraic functions, however, cannot be expressed by such finite expressions.
The value of an algebraic function at an algebraic number is always an algebraic number.
They do not have one meaning, as a proposition in logic should have; they have several meanings, like an algebraic function. Robert Anton Wilson