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 ?
Therefore, one major consequence should be that the RTD function of this zone can theoretically be calculated by a proper but simple combination of the elementary function of the EZ or KN elements at the same feed rate and speed.
Mr McKendrick said: "The elementary function of transferring money from one person to another and providing cash for wages and other purposes, in appropriate amounts, operates with easy efficiency, but banking is a much more intricate business than is indicated by the simple transactions passing over the banks' counters.
An elementary function is called basis and set of bases functions is a dictionary.
It is in general not an elementary function, unlike the related logarithm function.
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.
Safe product delivery is an elementary function of transport packaging.
Offering SLA-based policy automation at the enterprise level as well as a comprehensive suite of applications for business continuance, iSN goes beyond the elementary function of capacity consolidation, providing a rich portfolio of scalable network services for enhanced data center utilization, management, scalability and performance.
In some way or another, each looks at elementary functions from the perspective of experimental mathematics.
It is easy to compute for usual elementary functions.
Interval counterparts to continuous elementary functions are easily obtained.
Along with traditional content they include material rarely found in numerical analysis texts, such as interval arithmetic, elementary functions, operator series, convergence acceleration and continued fractions.
The brain and nervous system are described here in terms of elementary functions that apply to social behavior.