This project visualizes the transformation of vectors in polar coordinates, utilizing a metric tensor to transform vectors from the Cartesian basis $(e_x, e_y)$ to the polar basis $(e_r, e_\theta)$.

This chapter introduces matrix tensor product in Discrete Taylor Transform and Inverse Transform (D‐TTIT). The proposed style of numbering the grid points and the particular manner (y, x) their ...

Currently, only first-order tensors, a.k.a. vectors can be transformed in both forward and inverse direction through an adapter object. Can we transform also different orders, particularly ...

1 Department of Computer Science, Nagoya Institute of Technology, Aichi, Japan 2 RIKEN Center for Advanced Intelligence Project, Tokyo, Japan In this paper, we propose a new unified optimization ...