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Definition of the noun Algebraic function
What does Algebraic function mean as a name of something?
- [algebra] Any function that only uses the operations of addition, subtraction, multiplication, division and raising to a rational power
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 ...
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 (2013)
A-Integral — Coordinates by M. Hazewinkel
xm and x = oo, 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 ...
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.
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.
by Kiyosi Itô
C (of an algebraic function field of dimension 1) 9.D (of an algebraic number field) 14.
by Christopher G. Morris, Academic Press
algebraic function Mathematics, a function whose value is ...
by Nam Nguyen
See Algebraic function (above). -- Trigonometrical function ...
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 ...
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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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