Let f be an analytic and univalent function on a simply connected domain D, and let λD be the hyperbolic metric on D. We prove the sharp inequality $\left| {\frac{{{f^n}\left( w \right)}}{{f\left( w ...
Smoothness penalties are efficient regularization and dimension reduction tools for functional regressions. However, for spiky functional data observed on a dense grid, the coefficient function in a ...
Inositols are ancient molecules that were probably first made by a common ancestor of Archaea and Eukarya more than 2,000 million years ago. They are used by relatively few Bacteria.The ...
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