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 ?
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.
In 1972, Hewlett-Packard introduced the HP-35, which offered not only the four arithmetic functions, but transcendental functions as well.
Another aspect of mathematics worth investigating visually is the behavior of mathematical expressions known as transcendental functions (SN: 5/26/84, p.
Calculus of a Single Variable: Early Transcendental Functions, 6th 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.
For simple transcendental functions, the error varies between 0 and 70 percent of the gradient across the polygon.
In the nine chapters that make up the bulk of his text, the author covers number systems, sequences, series of numbers, basic topology, limits and continuity of functions, differentiation of functions, the integral, sequences and series of functions, and elementary transcendental functions.
Among the topics are lines in the plane, trigonometry, numbers, exponential and logarithmic functions, and transcendental functions and complex numbers.

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