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# Algebraic function

## Definition of the noun Algebraic function

What does Algebraic function mean as a name of something?

noun

1. [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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### 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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