Tensor polynomial identities generalize the concept of on d × matrices to tensor product spaces. Here we completely characterize a certain class in terms their associated Young diagrams. Furthermore, provide method evaluate arbitrary alternating polynomials d2 variables.

Abstract In numerical analysis, sparse grids are point configurations used in stochastic finite element approximation, integration and interpolation. This paper is concerned with the construction of polynomial interpolator models grids. Our proposal stems from fact that a grid an echelon design hierarchical structure identifies single model. We then formulate model show it can be written using ...

this article addresses an efficient and novel method for singularity-free path planning and obstacle avoidance of parallel manipulator based on neural networks. a modified 4-5-6-7 interpolating polynomial is used to plan a trajectory for a spherical parallel manipulator. the polynomial function which is smooth and continuous in displacement, velocity, acceleration and jerk is used to find a pat...