Transposition may refer to:

Logic and mathematics

Transposition (mathematics) In mathematics, and in particular in group theory, a cyclic permutation is a permutation consisting of a single cycle. In some cases, cyclic permutations are referred to as cycles; if a cyclic permutation has ''k'' elements, it may be called a ''k ...

, a permutation which exchanges two elements and keeps all others fixed * Transposition, producing the

transpose In linear algebra, the transpose of a Matrix (mathematics), matrix is an operator which flips a matrix over its diagonal; that is, it switches the row and column indices of the matrix by producing another matrix, often denoted by (among other ...

of a matrix ''A''^T, which is computed by swapping columns for rows in the matrix ''A'' *

Transpose of a linear map In linear algebra, the transpose of a linear map between two vector spaces, defined over the same Field (mathematics), field, is an induced map between the dual spaces of the two vector spaces. The transpose or algebraic adjoint of a linear map i ...

Transposition (logic) In logic and mathematics, contraposition, or ''transposition'', refers to the inference of going from a conditional statement into its logically equivalent contrapositive, and an associated proof method known as . The contrapositive of a stateme ...

, a rule of replacement in philosophical logic * Transpose relation, another name for

converse relation In mathematics, the converse of a binary relation is the relation that occurs when the order of the elements is switched in the relation. For example, the converse of the relation 'child of' is the relation 'parent of'. In formal terms ...

Games

Transposition (chess) In chess, a transposition is a sequence of moves that results in a position that may also be reached by another, more common sequence of moves. Transpositions are particularly common in the opening, where a given position may be reached by differ ...

, different moves or a different move order leading to the same position, especially during the openings * Transposition table, used in computer games to speed up the search of the game tree

Biology

* Transposition (birth defect), a group of congenital defects involving an abnormal spatial arrangement of tissue or

organ Organ and organs may refer to: Biology * Organ (biology), a group of tissues organized to serve a common function * Organ system, a collection of organs that function together to carry out specific functions within the body. Musical instruments ...

Transposition of the great vessels Transposition of the great vessels (TGV) is a group of congenital heart defects involving an abnormal spatial arrangement of any of the great vessels: superior and/or inferior venae cavae, pulmonary artery, pulmonary veins, and aorta. Congen ...

, cardiac transposition, a congenital heart defect with malformation of any of the major vessels ** Transposition of teeth ** Penoscrotal transposition * Transposition (horizontal gene transfer), the transfer of genetic material between organisms other than by vertical gene transfer *

Transposons A transposable element (TE), also transposon, or jumping gene, is a type of mobile genetic element, a nucleic acid sequence in DNA that can change its position within a genome. The discovery of mobile genetic elements earned Barbara McClinto ...

, or genetic transposition, a mutation in which a chromosomal segment is transferred to a new position on the same or another chromosome

Other uses

Transposition (law) In European Union law, transposition is a process by which the European Union's member states give force to a directive by passing appropriate implementation measures. Transposition is typically done by either primary legislation or secondary le ...

, the incorporation of the provisions of a European Union directive into a Member State's domestic law *

Transposition (music) In music, transposition refers to the process or operation of moving a collection of notes ( pitches or pitch classes) up or down in pitch by a constant interval. For example, a music transposer might transpose an entire piece of music in ...

, moving a note or collection of notes up or down in pitch by a constant number of semitones *

Transposition (transmission lines) Transposition is the periodic swapping of positions of the conductors of a transmission line, in order to reduce crosstalk and otherwise improve transmission. In telecommunications this applies to balanced pairs whilst in power transmission lin ...

, periodic swapping of positions of the conductors of a transmission line *

Transposition cipher In cryptography, a transposition cipher (also known as a permutation cipher) is a method of encryption which scrambles the positions of characters (''transposition'') without changing the characters themselves. Transposition ciphers reorder units ...

, an elementary cryptographic operation * Transposition, docking, and extraction an orbital maneuver performed on the Apollo lunar missions * Transposition, sleight of hand (magic), a performer appears to make two different objects ( suallycoins or cards) switch places with one another faster than physically possible. *

Transpose In linear algebra, the transpose of a Matrix (mathematics), matrix is an operator which flips a matrix over its diagonal; that is, it switches the row and column indices of the matrix by producing another matrix, often denoted by (among other ...

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