Generalizing the notion of Newton polytope, we define the Newton-Okounkov body, respectively, for semigroups of integral points, graded algebras and linear series on varieties. We prove that any ...

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When you create an algorithm, you need to include precise, step-by-step instructions. This means you will need to break down the task or problem into smaller steps. We call this process decomposition.

We implement the algorithm to decompose a given polygon into convex polygons, followed by the merging algorithm, which merges any excess convex polygons obtained in the first step. Input polygon ...

Abstract: In this article, we present an efficient unified algorithm for the minimum Euclidean distance between two collections of compact convex sets, each of which can be a collection of convex ...

Adam Hayes, Ph.D., CFA, is a financial writer with 15+ years Wall Street experience as a derivatives trader. Besides his extensive derivative trading expertise, Adam is an expert in economics and ...

Abstract: With the rapid expansion of uncrewed aerial vehicles (UAVs) technology, these UAVs are now extensively utilized in both military and civilian sectors. UAV terrain following, a subset of ...

A 3D shape with all straight edges and flat faces is a polyhedron. Other 3D shapes with least one curved surface are not polyhedra. A 3D shape with regular polygonal faces, meeting at equal angles, is ...

LTE/GSM Logging: Integrate a cellular metadata capture module to enrich GPS records with LTE/GSM network context (Cell ID, signal strength, band, and registration state) using a Sierra Wireless EM7565 ...