This function is a polynomial in two dimensions, with terms up to degree 5. It is nonlinear, and it is smooth despite being complex, which is common for computer experiment functions (Lim et al., 2002 ...

This new tool bridges algebra and geometry, solving for equations involving polynomials of any degree. Through this new sequence, the researchers identified a novel mathematical pattern ...

Then finding the roots becomes a matter of recognizing that where the function has value 0, the curve crosses the x-axis. Higher-degree polynomials give rise to more complicated figures. Third-degree ...

A new technical paper titled “Computing high-degree polynomial gradients in memory” was published by researchers at UCSB, HP Labs, Forschungszentrum Juelich GmbH, and RWTH Aachen University.