Elementaarfunktsioonide

Elementaarfunk is a term that can refer to several related concepts in mathematics and computer science. In mathematics, it often describes functions that can be expressed in terms of a finite number of elementary operations and a finite number of elementary functions. These elementary functions typically include polynomials, rational functions, exponential functions, logarithmic functions, trigonometric functions, and inverse trigonometric functions. The concept of an elementary function is crucial in calculus and differential equations, particularly when determining whether an antiderivative can be expressed in a closed form using these basic building blocks.

In the context of computer science, particularly symbolic computation systems, identifying and manipulating elementary functions is a core task. Algorithms exist to determine if a given function is elementary and to find its antiderivative if it exists within the realm of elementary functions. This is often related to Liouville's theorem, which provides a criterion for the integrability of elementary functions. The term can also sometimes be used more broadly to refer to any fundamental or basic function within a specific mathematical or computational system, serving as the building blocks for more complex operations.