Definition:Degree


 * Degree of a polynomial: as used in algebra, abstract algebra etc.: the count of the coefficients (minus one) of a polynomial.


 * Degree of a homogeneous function: $f$ is homogeneous of degree $n$ if $f \left({\alpha \mathbf v}\right) = \alpha^n f \left({\mathbf v}\right)$.


 * Degree of a vertex: as used in graph theory: the number of edges coming together at a particular vertex.


 * Degree (Angular Measure): as used in geometry, etc: $360$ of them make a circle.


 * Degree (Topology):