Abstract: The Potts model is defined on all possible colourings of vertices in q>1 possible values (q=2 corresponds to the Ising model). The distribution depends on the external parameter T>0 ...

Antimony is widely used in the production of materials for electronics, as well as metal alloys resistant to corrosion and high temperatures. "Antimony melt is interesting because near the melting ...

Federal officials knew in mid-December that some of the mysterious drones spotted in the skies over New Jersey and New York were authorized aircraft — but withheld that information from the American ...

Abstract: In this paper, we proposed a novel path replanning algorithm on arbitrary graphs. To avoid computationally heavy preprocessing and to reduce required memory to store the expanded vertices of ...

Abstract: We introduce the directed Flip-Chain algorithm, which transforms the regular directed graph into another regular directed graph by swapping two adjacent vertices in the trail of directed ...

Let G=(v, E)be a graph and let A and B be sets of vertices. A dominates B if every vertex in B -A is adjacent to at least one vertex in A; A totally dominates B if every vertex in B is adjacent to at ...

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 ...

The sides of right-angled triangles are labelled opposite, hypotenuse and adjacent. Trigonometry explores the relationship between sides and angles in right-angled triangles. The hypotenuse is the ...

This file includes stroke(), which converts a path into a geometric object, like drawing with a pen. It even works on three-dimensional paths. You can make a dashed line or add arrow heads. The turtle ...

The modules in this file allows you to attach one object to another by making one object the child of another object. You can place the child object in relation to its parent object and control the ...