=== The role of complex numbers === It may be proven that there is no way to express this function in terms nth roots using real numbers only, even though the resulting function is real-valued on the domain of the graph shown. On a more significant theoretical level, using complex numbers allows one to use the powerful techniques of complex analys...
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http://en.wikipedia.org/wiki/Algebraic_function
(from the article `algebra, elementary`) Any of the quantities mentioned so far may be combined in expressions according to the usual arithmetic operations of addition, subtraction, and ... ... can be any real number, and all the powers of are counting numbers (1, 2, 3,…). (When the powers of can be any real number, the...
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http://www.britannica.com/eb/a-z/a/45
A function that may be expressed in a finite number of terms, involving only the elementary algebraic operations of addition, subtraction, multiplication, division, and root extraction. For instance, f(x) = px
3 + x
¼ - 2/x is an algebraic fu...
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http://www.daviddarling.info/encyclopedia/A/algebraic_function.html
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.
Found on
https://www.infoplease.com/dictionary/algebraic-function
No exact match found.
