World Library  
Flag as Inappropriate
Email this Article

Analytical expression

Article Id: WHEBN0005258941
Reproduction Date:

Title: Analytical expression  
Author: World Heritage Encyclopedia
Language: English
Subject: Rate–distortion theory, Analytic, Neural oscillation, Algebraic expression, Modulational instability
Publisher: World Heritage Encyclopedia

Analytical expression

Not to be confused with analytic signal or analytic function.

In mathematics, an analytical expression (or expression in analytical form) is a mathematical expression constructed using well-known operations that lend themselves readily to calculation. As is true for closed-form expressions, the set of well-known functions allowed can vary according to context but always includes the basic arithmetic operations (addition, subtraction, multiplication, and division), extraction of nth roots, exponentiation, logarithms, and trigonometric functions.

However, the class of expressions considered to be analytical expressions tends to be wider than that for closed-form expressions. In particular, special functions such as the Bessel functions and the gamma function are usually allowed, and often so are infinite series and continued fractions. On the other hand, limits in general, and integrals in particular, are typically excluded.

If an analytic expression involves only the algebraic operations, which are addition, subtraction, multiplication, division and exponentiation with integral or fractional exponents (hence including the extraction of nth roots), then it is more specifically referred to as an algebraic expression.



This article was sourced from Creative Commons Attribution-ShareAlike License; additional terms may apply. World Heritage Encyclopedia content is assembled from numerous content providers, Open Access Publishing, and in compliance with The Fair Access to Science and Technology Research Act (FASTR), Wikimedia Foundation, Inc., Public Library of Science, The Encyclopedia of Life, Open Book Publishers (OBP), PubMed, U.S. National Library of Medicine, National Center for Biotechnology Information, U.S. National Library of Medicine, National Institutes of Health (NIH), U.S. Department of Health & Human Services, and, which sources content from all federal, state, local, tribal, and territorial government publication portals (.gov, .mil, .edu). Funding for and content contributors is made possible from the U.S. Congress, E-Government Act of 2002.
Crowd sourced content that is contributed to World Heritage Encyclopedia is peer reviewed and edited by our editorial staff to ensure quality scholarly research articles.
By using this site, you agree to the Terms of Use and Privacy Policy. World Heritage Encyclopedia™ is a registered trademark of the World Public Library Association, a non-profit organization.

Copyright © World Library Foundation. All rights reserved. eBooks from Project Gutenberg are sponsored by the World Library Foundation,
a 501c(4) Member's Support Non-Profit Organization, and is NOT affiliated with any governmental agency or department.