Cyclic (mathematics)

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:
  • 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


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Look at other dictionaries:

  • Cyclic quadrilateral — Cyclic quadrilaterals. In Euclidean geometry, a cyclic quadrilateral is a quadrilateral whose vertices all lie on a single circle. This circle is called the circumcircle or circumscribed circle, and the vertices are said to be concyclic. Other… …   Wikipedia

  • Mathematics of CRC — Cyclic Redundancy Check (CRC) is based on division in the ring of polynomials over the finite field GF(2) (the integers modulo 2), that is, the set of polynomials where each coefficient is either zero or one, and arithmetic operations wrap around …   Wikipedia

  • cyclic group — noun (mathematics) A group on which every element can be expressed as a power of a single element • • • Main Entry: ↑cycle …   Useful english dictionary

  • Cyclic order — In mathematics, a cyclic order is a way to arrange a set of objects in a circle.[nb] Unlike most structures in order theory, a cyclic order cannot be modeled as a binary relation a < b . One does not say that east is more clockwise than west.… …   Wikipedia

  • Cyclic redundancy check — A cyclic redundancy check (CRC) is an error detecting code designed to detect accidental changes to raw computer data, and is commonly used in digital networks and storage devices such as hard disk drives. Blocks of data entering these systems… …   Wikipedia

  • Cyclic group — Group theory Group theory …   Wikipedia

  • Cyclic surgery theorem — In three dimensional topology, a branch of mathematics, the cyclic surgery theorem states that, for a compact, connected, orientable, irreducible three manifold M whose boundary is a torus T, if M is not a Seifert fibered space and r,s are slopes …   Wikipedia

  • Cyclic code — In coding theory, cyclic codes are linear block error correcting codes that have convenient algebraic structures for efficient error detection and correction. Contents 1 Definition 2 Algebraic structure 3 Examples …   Wikipedia

  • Cyclic number — This article is about numbers where permutations of their digits (in some base) yield related numbers. For the number theoretic concept, see cyclic number (group theory). A summary of this article appears in Repeating decimal. A cyclic number is… …   Wikipedia

  • Cyclic module — In mathematics, more specifically in ring theory, a cyclic module is a module over a ring which is generated by one element. The term is by analogy with cyclic groups, that is groups which are generated by one element. Contents 1 Definition 2… …   Wikipedia

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