Degree can be evaluated to arbitrary numerical precision using N.

While (like Pi) it is not known if Degree is normal (meaning the digits in its base- expansion are equally distributed) to any base, its known digits are very uniformly distributed.

As a result of its close relationship with Pi, Degree is known to be both irrational and transcendental, meaning it can be expressed neither as a ratio of integers nor as the root of any integer polynomial.Cos ) may require use of functions such as FunctionExpand and FullSimplify. Cos ) are automatically expanded in terms of simpler functions, expansion and simplification of more complicated expressions involving Degree (e.g. While many expressions involving Degree (e.g. When Degree is used as a symbol, it is propagated as an exact quantity that can be expressed in terms of Pi using FunctionExpand.While most angle-related functions in the Wolfram Language take radian measures as their arguments and return radian measures as results, the symbol Degree can be used as a multiplier when entering values in degree measures (e.g.

The use of Degree is especially common in calculations involving plane geometry and trigonometry. Degree has exact value and numerical value. Degree is the symbol representing the number of radians in one angular degree (1 °), which can also be input into the Wolfram Language as ∖.Īccording to the degree sum formula, the trace of the degree matrix is twice the number of edges of the considered graph.

It is used together with the adjacency matrix to construct the Laplacian matrix of a graph: the Laplacian matrix is the difference of the degree matrix and the adjacency matrix. In the mathematical field of algebraic graph theory, the degree matrix of an undirected graph is a diagonal matrix which contains information about the degree of each vertex-that is, the number of edges attached to each vertex.

Mathematica degree