The course provides a thorough introduction to design, analysis (both theoretical and empirical), and programming of difference and elemental methods to solve differential equations. In addition, the ...

Abstract: In this article, a mathematical formulation for describing and designing activation functions in deep neural networks is provided. The methodology is based on a precise characterization of ...

Abstract: Many problems in science and engineering can be mathematically modeled using partial differential equations (PDEs), which are essential for fields like computational fluid dynamics (CFD), ...

Ask the publishers to restore access to 500,000+ books. The Internet Archive keeps the record straight by recording government websites, news publications, historical documents, and more. If you find ...

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used in Maths when we do not know the exact number in a calculation - this unknown ...

Robert Kelly is managing director of XTS Energy LLC, and has more than three decades of experience as a business executive. He is a professor of economics and has raised more than $4.5 billion in ...

Andrew Wiles devoted much of his entire career to proving Fermat's Last Theorem, the world's most famous mathematical problem. In 1993, he made front-page headlines ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

UB Mathematics students can now download the pdf textbook for MTH 306, using the link on GitHub. Physical copies of the new edition are available from Amazon.

High performance ordinary differential equation (ODE) and differential-algebraic equation (DAE) solvers, including neural ordinary differential equations (neural ODEs) and scientific machine learning ...