We show that the combination of dynamic programming with partial-order decomposition algorithms enables us to solve sequencing problems in polynomial time for substantially larger classes of ...

The Abhyankar-Sathaye Problem asks whether any biregular embedding $\varphi \colon {\Bbb C}^{k}\hookrightarrow {\Bbb C}^{n}$ can be rectified, that is, whether there exists an automorphism α ∈ Aut Cn ...

Polynomial equations are a cornerstone of modern science, providing a mathematical basis for celestial mechanics, computer graphics, market growth predictions and much more. But although most high ...

Cylindrical Algebraic Decomposition (CAD) is a pivotal algorithmic technique in real algebraic geometry, instrumental in resolving problems expressed in a first‐order language over the reals. By ...

When you buy through links on our articles, Future and its syndication partners may earn a commission. Mathematicians have solved a longstanding algebra problem, providing a general solution for ...