Featured Research

from universities, journals, and other organizations

NIST Releases Preview Of Much-anticipated Online Mathematics Reference

Date:
June 27, 2008
Source:
National Institute of Standards and Technology
Summary:
NIST has released a five-chapter preview of the much-anticipated online Digital Library of Mathematical Functions. In development for over a decade, the DLMF is designed to be a modern successor to a 1964 reference work that is the most widely distributed NIST publication and one of the most cited works in the mathematical literature.

This visual representation of a Hankel function for complex variables in the NIST Digital Library of Mathematical Functions can be explored in three dimensions by Web users. Hankel functions are solutions of Bessel's differential equation, and they play an important role in many problems of mathematical physics, such as heat conduction and wave propagation.
Credit: NIST

The National Institute of Standards and Technology (NIST) has released a five-chapter preview of the much-anticipated online Digital Library of Mathematical Functions (DLMF). In development for over a decade, the DLMF is designed to be a modern successor to the 1964 "Handbook of Mathematical Functions," a reference work that is the most widely distributed NIST publication (with over a million copies in print) and one of the most cited works in the mathematical literature (still receiving over 1,600 yearly citations in the research literature). The preview of the new DLMF is a fully functional beta-level release of five of the 36 chapters.

Related Articles


The DLMF is designed to be the definitive reference work on the special functions of applied mathematics. Special functions are "special" because they occur very frequently in mathematical modeling of physical phenomena, from atomic physics to optics and water waves. These functions have also found applications in many other areas; for example, cryptography and signal analysis. The DLMF provides basic information needed to use these functions in practice, such as their precise definitions, alternate ways to represent them mathematically, illustrations of how the functions behave with extreme values and relationships between functions.

The DLMF provides various visual aids to provide qualitative information on the behavior of mathematical functions, including interactive Web-based tools for rotating and zooming in on three-dimensional representations. These 3-D visualizations can be explored with free browsers and plugins designed to work in virtual reality markup language (VRML). Mouse over any mathematical function, and the DLMF provides a description of what it is; click on it, and the DLMF goes to an entire page on the function. The DLMF adheres to a high standard for handbooks by providing references to or hints for the proofs of all mathematical statements. It also provides advice on methods for computing mathematical functions, as well as pointers to available software.

The complete DLMF, with 31 additional chapters providing information on mathematical functions from Airy to Zeta, is expected to be released in early 2009. With over 9,000 equations and more than 500 figures, it will have about twice the amount of technical material of the 1964 Handbook. An approximately 1,000-page print edition that covers all of the mathematical information available online also will be published. The DLMF, which is being compiled and extensively edited at NIST, received initial seed money from the National Science Foundation and resulted from contributions of more than 50 subject-area experts worldwide. The NIST editors for the DLMF are Frank W. J. Olver, Daniel W. Lozier, Ronald F. Boisvert and Charles W. Clark.


Story Source:

The above story is based on materials provided by National Institute of Standards and Technology. Note: Materials may be edited for content and length.


Cite This Page:

National Institute of Standards and Technology. "NIST Releases Preview Of Much-anticipated Online Mathematics Reference." ScienceDaily. ScienceDaily, 27 June 2008. <www.sciencedaily.com/releases/2008/06/080627163210.htm>.
National Institute of Standards and Technology. (2008, June 27). NIST Releases Preview Of Much-anticipated Online Mathematics Reference. ScienceDaily. Retrieved October 24, 2014 from www.sciencedaily.com/releases/2008/06/080627163210.htm
National Institute of Standards and Technology. "NIST Releases Preview Of Much-anticipated Online Mathematics Reference." ScienceDaily. www.sciencedaily.com/releases/2008/06/080627163210.htm (accessed October 24, 2014).

Share This



More Computers & Math News

Friday, October 24, 2014

Featured Research

from universities, journals, and other organizations


Featured Videos

from AP, Reuters, AFP, and other news services

The Best Apps to Organize Your Life

The Best Apps to Organize Your Life

Buzz60 (Oct. 23, 2014) — Need help organizing your bills, schedules and other things? Ko Im (@konakafe) has the best apps to help you stay on top of it all! Video provided by Buzz60
Powered by NewsLook.com
Nike And Apple Team Up To Create Wearable ... Something

Nike And Apple Team Up To Create Wearable ... Something

Newsy (Oct. 23, 2014) — For those looking for wearable tech that's significantly less nerdy than Google Glass, Nike CEO Mark Parker says don't worry, It's on the way. Video provided by Newsy
Powered by NewsLook.com
Chameleon Camouflage to Give Tanks Cloaking Capabilities

Chameleon Camouflage to Give Tanks Cloaking Capabilities

Reuters - Innovations Video Online (Oct. 22, 2014) — Inspired by the way a chameleon changes its colour to disguise itself; scientists in Poland want to replace traditional camouflage paint with thousands of electrochromic plates that will continuously change colour to blend with its surroundings. The first PL-01 concept tank prototype will be tested within a few years, with scientists predicting that a similar technology could even be woven into the fabric of a soldiers' clothing making them virtually invisible to the naked eye. Matthew Stock reports. Video provided by Reuters
Powered by NewsLook.com
Internet of Things Aims to Smarten Your Life

Internet of Things Aims to Smarten Your Life

AP (Oct. 22, 2014) — As more and more Bluetooth-enabled devices are reaching consumers, developers are busy connecting them together as part of the Internet of Things. (Oct. 22) Video provided by AP
Powered by NewsLook.com

Search ScienceDaily

Number of stories in archives: 140,361

Find with keyword(s):
 
Enter a keyword or phrase to search ScienceDaily for related topics and research stories.

Save/Print:
Share:  

Breaking News:

Strange & Offbeat Stories

 

Space & Time

Matter & Energy

Computers & Math

In Other News

... from NewsDaily.com

Science News

Health News

Environment News

Technology News



Save/Print:
Share:  

Free Subscriptions


Get the latest science news with ScienceDaily's free email newsletters, updated daily and weekly. Or view hourly updated newsfeeds in your RSS reader:

Get Social & Mobile


Keep up to date with the latest news from ScienceDaily via social networks and mobile apps:

Have Feedback?


Tell us what you think of ScienceDaily -- we welcome both positive and negative comments. Have any problems using the site? Questions?
Mobile iPhone Android Web
Follow Facebook Twitter Google+
Subscribe RSS Feeds Email Newsletters
Latest Headlines Health & Medicine Mind & Brain Space & Time Matter & Energy Computers & Math Plants & Animals Earth & Climate Fossils & Ruins