algebraic function

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algebraic function

n
(Mathematics) maths any function which can be constructed in a finite number of steps from the elementary operations and the inverses of any function already constructed. Compare transcendental function
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014
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In the text, algebraic functions are used side by side to help develop conceptual thinking skills, with emphasis on model formulation and interpretation rather than on algorithms.
and these algebraic functions are easily determined since the kernel is a quadratic:
Products of MeijerG functions are relatively easy to integrate symbolically.) There are a number of specialized integrators for handling elliptic integrals, integrals of algebraic functions, and integrals involving special functions, etc.
Available in both a VHS, DVD, and digitally on a SAFARI Montage Video-On-Demand system, 'Algebra for Students' from Schlessinger Media is a ten volume series ($39.95 per volume) for students in grades 7 through 12 that provides basic instruction in the use of algebraic functions including linear, quadratic and exponential expressions.
The expressions in (4.15) and (4.16) show in a transparent way that the asymptotic relations for the Pade polynomials [P.sub.nn] and [Q.sub.nn] contain as a main element an algebraic functions of a second degree, which is in the symmetric case [lambda] = 1 the rather simply constructed function [g.sub.1](z) = [square root of (1 + [z.sup.2])].
Algebraic numbers and algebraic functions. (reprint, 1967)
Many algebraic functions have been investigated over the years, and the results compared.
census data, investigated problems involving compounded interest, and discussed possible connections between a new business's advertising expenditures and their sales, thereby using linear, quadratic, exponential, logarithmic, periodic, rational, and algebraic functions. Problems encountered in teaching the modeling process are discussed.
However, each BEM equation will have a larger number of algebraic functions than a corresponding FEM problem.
Traditionally, introductory calculus courses have dealt mainly with algebraic functions: exact mathematical expressions involving square roots, exponentials and trigonometric and other functions.
In order to introduce calculus gently to high school students and college students outside of conventional mathematics and sciences, Range presents an elementary approach to derivatives for algebraic functions that completely avoids limits.

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