Elementary Function

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elementary function

[‚el·ə′men·trē ′fəŋk·shən]
(mathematics)
Any function which can be formed from algebraic functions and the exponential, logarithmic, and trigonometric functions by a finite number of operations consisting of addition, subtraction, multiplication, division, and composition of functions.

Elementary Function

 

any function in the class consisting of polynomials, rational functions, exponential functions, logarithmic functions, trigonometric functions, and inverse trigonometric functions. The class of elementary functions also includes functions obtained from those listed above through the performance of the four arithmetic operations and composition (the formation of a composite function) a finite number of times; examples are

The class of elementary functions has been best studied, and is most often encountered, in applications of mathematics. Many practical problems, however, lead to the consideration of functions that are not elementary functions, such as cylindrical functions. The derivative of an elementary function is also an elementary function. The indefinite integral of an elementary function is not always expressed in terms of an elementary function. Nonelementary functions are often represented in terms of elementary functions through the use of, for example, infinite series, infinite products, and infinite integrals.

References in periodicals archive ?
The following section describes the minutia related to elementary functions that are useful for the stated purpose.
Section 3 presents a short introduction to Wong and Goto's ATA methods for computing elementary functions in single precision; while Section 4 describes the observed trade-off and the proposed modification.
However other elementary functions are more problematic in many senses, e.
There is also a serious problem with straightforward application of ATA to some elementary functions.
Wong and Goto's ATA is an arithmetic algorithm for the computation of elementary functions in single precision.
Goto, "Hardware for the Fast Computation of the Elementary Functions.
This section begins with a coarse description of the IEEE 754 single precision standard and continues reviewing basic concepts related to elementary function accuracy, their computation, and common tricks used for reducing the range.
The number of accuracy bits necessary to ensure correctly rounding for the various elementary function is in general not known [5].
ATA method was proposed by Wong and Goto for the approximation of elementary function for a bounded range [8].
Tables 3 and 4 present a summary of the relevant characteristics of the design's components for any elementary function.
i]} is the set of all elementary function under consideration.
1] is enough for the rest of the elementary function considered here.