Finding the extrema of a multivariable function is an essential skill in calculus and applied mathematics. This process allows you to determine the minima and maxima of a function across multiple ...

Learn to choose coordinate systems, visualize multivariable functions, and parameterize curves. You can use these live scripts as demonstrations in lectures, class activities, or interactive ...

In nonparametric multivariate regression analysis, we seek methods to reduce the dimensionality of the regression function to bypass the difficulty caused by the curse of dimensionality. The original ...

1 Institute of Mathematics, University of Lübeck, Lübeck, Germany 2 Institute of Mathematics, National Academy of Sciences of Ukraine, Kyiv, Ukraine This paper ...

We present formulas that allow us to decompose a function ƒ of d variables into a sum of 2 d terms f u indexed by subsets u of {1,. . . , d}, where each term f u depends only on the variables with ...