transcendental functions


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transcendental functions

[¦tran‚sen¦dent·əl ′fəŋk·shənz]
(mathematics)
Functions which cannot be given by any algebraic expression involving only their variables and constants.
References in periodicals archive ?
Larson and Edwards update again their textbook for a calculus course covering early transcendental functions, which now includes free access to three web sites.
Zhir, "On the best polynomial approximations of entire transcendental functions of many complex variables in some Banach spaces," Ukrainian Mathematical Journal, vol.
To select the proper production function, the test of significant difference between Cobb-Douglas, transcendental functions and bound F-test were used.
While concrete empirical realizations of a transcendental function may vary among different species of cognizers, a sufficiently abstract description of these empirical realizations in temporal-causal terms is true to all.
The main aim of this paper is to have a series expansion for a given transcendental function other than the conventional one usually obtained from the Maclaurin's series.
Higher-end models capable of handling transcendental functions such as logarithms, sines, and cosines often cost $5000 or more.
Pickover in such areas as dynamical systems and transcendental functions in Science News (September 19, 1987).
Another aspect of mathematics worth investigating visually is the behavior of mathematical expressions known as transcendental functions (SN: 5/26/84, p.328).
Calculus of a Single Variable: Early Transcendental Functions with CalcChat and CalcView, 7th Edition
Among the topics are nearby cycles and periodicy in cyclic homology, the Gauss-Bonnet theorem for the noncommutative two torus, zeta phenomenology, absolute modular forms, the transcendence of values of transcendental functions at algebraic points, and the Hopf algebraic structure of perturbative quantum gauge theories.
Along the way, he treats standard topics such as derivatives, integrals, transcendental functions, sequences and series, differential equations, and convergence, as well as more unusual topics, including curvature, Pade approximants, the logarithmic integral, public key cryptography, and the qualitative analysis of the logistic equation.
Here the elementary functions are real-valued algebraic functions (such as polynomials, rational or power functions), transcendental functions (traditionally thought of as the exponential, logarithmic, the trigonometric and hyperbolic functions together with their associated inverses (e.g., Finney, Weir & Giordano, 2001, p.

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