# 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

Click on a title to look inside that book (if available):

### Elementary Algebra (1916)

by George William Myers, George Edward Atwood

* An algebraic function is a number whose dependence on another number is
expressed in algebraic symbols, as 3x+5, «2- 2n — 8, a-\-b, x—y, etc*. In this book
the word "function" means

**algebraic function**. A function that depends on two other ...

### 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 ...

### Vladimir I. Arnold - Collected Works (2013)

Hydrodynamics, Bifurcation Theory, and Algebraic Geometry 1965-1972 by Vladimir I. Arnold

of * an
algebraic function is a representation of the same fundamental group in the
Translation of* ...

### Encyclopaedia of Mathematics (2012)

by Michiel Hazewinkel

xm and x
= 00, and has at such points only poles or algebraic branch points, is **an
algebraic function** of degree k <s. The Riemann surface of a complete algebraic
function ...

### 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 ...

### The popular encyclopedia; or, 'Conversations Lexicon': [ed. by A. Whitelaw from the Encyclopedia Americana]. (1883)

by Popular encyclopedia

Thus, u = ax3 + bxy + cif is **an algebraic function** of x and y.

### 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 ...

### Mathematical Dictionary and Cyclopedia of Mathematical Science Comprising Definitions of All the Terms Employed in Mathematics - (1859)

An Analysis of Each Branch, and of the Whole, as Forming a Single Science

u is **an algebraic function** of x and z. In the expressions y = a', y = sin- ' x, &c , y
is a transcendental function of x. Transcendental functions are differently named
from the manner of expressing the relation l.etween the function and variable.

### Mathematical Dictionary and Cyclopedia of Mathematical Science (1872)

Comprising Definitions of All the Terms Employed in Mathematics - an Analysis of Each Branch, and of the Whole, as Forming a Single Science by Charles Davies

y is **an algebraic function** of x and z. In the expressions y = a", y = sin- ' x, &c, y
is a transcendental function of x. Transcendental functions are differently named
from the manner of expressing the relation between the function and variable.

### The New Palgrave Dictionary of Economics (2016)

by NA NA

is **a semi-
algebraic function**, that is, its graph {(x, y) e Rol : y = D.u"(x)} is a finite union and
intersection of sets of the form {(x,y) e Ro: g(x,y)=0} or {(x,y) e R* : f(x,y) = 0} for ...

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

by Christopher G. Morris, Academic Press

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

## 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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