Cyclic (mathematics)

There are many terms in mathematics that begin with cyclic:

• Cyclic chain rule, for derivatives, used in thermodynamics
• Cyclic code, linear codes closed under cyclic permutations
• Cyclic convolution, a method of combining periodic functions
• Cycle decomposition (graph theory)
• Cycle decomposition (group theory)
• Cyclic extension, a field extension with cyclic Galois group
• Cycle graph or cyclic graph is a connected, 2-regular graph:
  • Cycle graph (algebra), a diagram representing the cycles determined by taking powers of group elements
  • Circulant graph, a graph whose adjacency matrix is circulant
  • Cycle (graph theory), a nontrivial path from a node to itself
• Cyclic group, a group generated by a single element
• Cyclic homology, an approximation of K-theory used in non-commutative differential geometry
• Cyclic module, a module generated by a single element
• Cyclic notation, a way of writing permutations
• Cyclic number, a number such that cyclic permutations of the digits are successive multiples of the number
• Cyclic order, a binary relation for doubly linked lists
• Cyclic permutation, a permutation with one nontrivial orbit
• Cyclic polygon, a polygon which can be given a circumscribed circle
• Cyclic shift, also known as circular shift
• Cyclic symmetry, n-fold rotational symmetry of 3-dimensional space

See also

• Cycle (disambiguation)
• Cycle (mathematics)