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Forgot password? Graph showing part of the complex number phase of the gamma function and a related function. One of the most important of the "special functions" discovered in the 18th century, the gamma function is related to the more familiar factorial function and plays a role in a wide variety of applications of probability and statistics.
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Here the pattern resembles that of fluid flow near the end of a line of vortices. These modernized reference works contain a comprehensive set of mathematical tools useful for any and all specialists who work with mathematical modeling and computation. That Handbook quickly became an indispensable reference for scientists and engineers who use the tools of applied mathematics in their work.
While the volume has sold an estimated 1 million copies and still averages more than 1, citations per year in scientific papers, NIST embarked on the new work in response to advances in electronic information exchange as well as in mathematics itself. The new chapter tome is designed to be the definitive reference work on applied mathematics' "special functions," the term collectively used to describe the most important and widely employed mathematical functions.
Special functions appear whenever natural phenomena are studied, engineering problems are formulated, and computer simulations are performed.
Handbook of Mathematics for Engineers and Scientists
They also crop up in statistics, financial models, and economic analysis. The DLMF provides critical reference information needed to use these functions in practice, such as their precise definitions, alternative ways to represent them mathematically, illustrations of how the functions behave at extreme values, and their relationships to other functions and concepts. It shakes the yellow leaves from the bough of your heart, so that fresh, green leaves can grow in their place.
It pulls up the rotten roots, so that new roots hidden beneath have room to grow. Whatever sorrow shakes from your heart, far better things will take their place.
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