# Algebraic function

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## Definition of the noun Algebraic function

What does Algebraic function mean as a name of something?

**noun**

- [
*algebra*] Any function that only uses the operations of addition, subtraction, multiplication, division and raising to a rational power

## Explanation

**Algebraic function**: In mathematics, an algebraic function is a function that can be defined as the root of a polynomial equation.

- also known as 代數函數

## Printed dictionaries and other books with definitions for Algebraic function

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### Context-Free Languages and Primitive Words (2014)

by Pál Dömösi, Masami Ito

* An algebraic function is a multi-valued function which may be expressed in a
finite number of terms, involving only the elementary algebraic operations of
addition, substraction, multiplication, division and root extraction*. In other words,
a ...

### CRC Concise Encyclopedia of Mathematics, Second Edition (2002)

by Eric W. Weisstein

See also GALOIS EXTENSION **Algebraic Function** A function which can be
constructed using only a finite number of ELEMENTARY OPERATIONS together
with the INVERSES of functions capable of being so constructed. Nonalgebraic ...

### Encyclopaedia of Mathematics (1989)

by Michiel Hazewinkel

The analytic functions can be subdivided
into the algebraic functions (cf. **Algebraic function**), that is, functions y=f(x\, ...

### Academic Press Dictionary of Science and Technology (1992)

by Christopher G. Morris, Academic Press

**algebraic function** Mathematics, a function whose value is ...

### Science and Technology Encyclopedia (2000)

by The University of Chicago Press, Leszek Kołakowski

**algebraic function** (algebraic equation) Function that is expressible using rational
powers of the variable. For instance, fix) = 7Lv3 + .v"4 - 2/.v is an algebraic
function. In contrast, log .v is a transcendental function expressed only by an
infinite ...

### The Mathematics Dictionary (1992)

by R.C. James, Glenn James

" **algebraic function**. A function which
can ...

### The Edinburgh Encyclopaedia (1832)

that the property of, the limiting ratio extends to the algebraic functions A .r'"+Bx""
+, Stc. and Ax'"+B.r'"'+, Stc. WET, which are composed from the simple , .
**algebraic function** x" ; and in the same manner it will appear that the property
belongs to ...

## Online dictionaries and encyclopedias with entries for Algebraic function

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## Video about Algebraic function

**Algebraic function Meaning**

Video shows what algebraic function means. Any function that only uses the operations of addition, subtraction, multiplication, division and raising to a rational ...

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