Mathematical modeling provides information that is difficult to obtain from experimentation alone and can, therefore, save scientists and engineers time and money as they create new drugs or design lighter and stronger airplanes. The NIST Digital Library of Mathematical Functions (DLMF) is the backbone of such modeling, giving researchers an authoritative reference with definitions, notations and essential properties of the most commonly used concepts in mathematical modeling.
NIST mathematicians created the DLMF to provide critical reference information needed for mathematical modeling. Mathematical functions—the basis of mathematical modeling—can be used to describe physical processes from the formation of galaxies to the performance of wireless networks. Many science and engineering efforts rely on this invaluable reference for the properties of these mathematical functions. The DLMF includes the precise definitions of functions, alternative ways to represent them mathematically, illustrations of how the functions behave at extreme values, and their relationships to other functions and concepts.
The DLMF has been applied to an astounding range of applications, from understanding the effect of undersea mountains on ocean currents and the complex mechanisms by which the DNA molecule folds itself (which plays an important role in its function), to the creation of more accurate maps by improving methods for projecting a sphere onto a flat surface.online, with visual aids and interactive capabilities.
246,000 users downloaded 3.2M pages of technical material from the DLMF during 420,800 sessions in 2016
3,500 research papers have cited the DLMF or its print companion
“A monumental achievement.”
– SIAM News, Vol. 43, No. 7, Sept. 2010