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5 days ago · An angle's vertex is the point where two rays, lines or line segments meet. For example, line segment AB meets line segment BD and forms angle ABD. The point where they meet, B, is the vertex. Protractor. A protractor is a tool, usually shaped like a half circle, that measures angles.
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5 days ago · A conjecture is a mathematical statement that has not yet been rigorously proved. Conjectures arise when one notices a pattern that holds true for many cases. However, just because a pattern holds true for many cases does not mean that the pattern will hold true for all cases. Conjectures must be proved for the mathematical observation to be fully accepted. When a conjecture is rigorously ...
4 days ago · Glossary of mathematical symbols. A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula. As formulas are entirely constituted with symbols of various ...
5 days ago · There are many systems in the natural world and in society that are amenable to mathematical and computational modeling. However, not everything is easily codified as a system of particles with coordinates and momenta. Some systems and problems such as social networks, ecologies, and genetic regulatory schemes are intrinsically divorced from spacetime descriptions, and instead are more ...
5 days ago · They are three-dimensional geometric solids which are defined and classified by their faces, vertices, and edges. A regular polyhedron has the following properties: faces are made up of congruent regular polygons; the same number of faces meet at each vertex. There are nine regular polyhedra all together: five convex polyhedra or Platonic solids.
5 days ago · When creating an expansion, you are allowed to add an infinite number new vertices to the existing edges, as long as NO new vertex has more than two degrees (degrees are the number of edges incident to a particular vertex.) Also, by definition, any graph is an expansion of itself, so you may leave a graph unaltered and still have an expansion.
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3 days ago · A vertex v is an articulation point (also called cut vertex) if removing v increases the number of connected components. Articulation points represent vulnerabilities in a connected network – single points whose failure would split the network into 2 or more components. They are useful for designing reliable networks.
