Definition:Degree
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Degree may refer to:
- Degree of a polynomial: as used in algebra, abstract algebra etc.: the count of the coefficients (minus one) of a polynomial.
- Degree of a mononomial: a related concept.
- Degree of an algebraic number: the lowest possible degree of a polynomial of which the algebraic number is a root.
- Degree of a Field Extension: the dimension of a field extension $E/F$ when $E$ is viewed as a vector space over $F$.
- Transcendence Degree: the largest cardinality of an algebraically independent subset $A \subseteq L$, where $L/K$ is a extension of a field $K$.
- 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 Homogeneous Element of a gradation of a ring.
- 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) to be defined.
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