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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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Google previewElementary 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 ...

Google previewContext-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 ...

Google previewVladimir 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 ...

Google previewEncyclopaedia 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 ...

Google previewCRC 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 ...

Google previewThe 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.

Google previewScience 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 ...

Google previewMathematical 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.

Google previewMathematical 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.

Google previewThe 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 ...

Google previewAcademic Press Dictionary of Science and Technology (1992)

by Christopher G. Morris, Academic Press

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

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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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