Definition:Order

Disambiguation

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Order may refer to:

• Set Theory:
  • Order of Set: Another word for the cardinality of a set.

• Abstract Algebra:
  • Order of an Algebraic Structure

• Group Theory:
  • Order of an Element in a Group

• Matrix Theory and Linear Algebra:
  • Order of a Matrix
  • Order of a Square Matrix
  • Order of a Determinant

• Tensor Theory:
  • Order of a Tensor: another term for the rank of a tensor.

• Number Theory:
  • Multiplicative Order of an Integer: the least positive integer $c$ such that $a^c \equiv 1 \pmod n$.
  • Order of a Sociable Chain: the number of members of a sociable chain.

• Polynomial Theory:
  • Order of a Polynomial: another term for its degree

• Analysis:
  • Order of a Derivative: the number of times a function has been differentiated
  • Order of Entire Function a quantity measuring the growth of an entire function
  • Exponential Order
  • Order of Convergence

• Geometry:
  • Order of Rotational Symmetry
  • Order of Axis of Rotational Symmetry

• Analytic Geometry:
  • Order of a Curve
  • Order of a Surface

• Differential Equations:
  • Order of a Differential Equation: the highest order derivative that appears in that differential equation

• Graph Theory:
  • Order of a Graph: the number of vertices in a graph

• Combinatorics
  • Order of a Latin Square

• Approximation Theory:
  • Order of Spline: one more than the degree of a spline.

Also see

• Definition:Finite Order
• Definition:Infinite Order
• Definition:Ordering