Cyclic (mathematics) explained

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
• Graph theory:
• Cyclic function, a periodic function
  • Cycle graph, a connected, 2-regular graph
  • Cycle graph (algebra), a diagram representing the cycles determined by taking powers of group elements
  • Circulant graph, a graph with cyclic symmetry
  • Cycle (graph theory), a nontrivial path in some graph from a node to itself
  • Cyclic graph, a graph containing at least one graph cycle
• 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 ternary relation defining a way to arrange a set of objects in a circle
• 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)