Transposition may refer to:

Logic and mathematics

Transposition (mathematics) In mathematics, and in particular in group theory, a cyclic permutation (or cycle) is a permutation of the elements of some set ''X'' which maps the elements of some subset ''S'' of ''X'' to each other in a cyclic fashion, while fixing (that is, ma ...

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

transpose In linear algebra, the transpose of a 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 notations). The tr ...

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, is an induced map between the dual spaces of the two vector spaces. The transpose or algebraic adjoint of a linear map is often used to study ...

Transposition (logic) In propositional logic, transposition is a valid rule of replacement that permits one to switch the antecedent with the consequent of a conditional statement in a logical proof if they are also both negated. It is the inference from the t ...

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

converse relation In mathematics, the converse relation, or transpose, 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&n ...

Games

Transposition (chess) In chess, a transposition is a sequence of moves that results in a position which 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 diffe ...

, different moves or a different move order leading to the same position, especially during the openings *

Transposition table {{no footnotes, date=November 2017 A transposition table is a cache of previously seen positions, and associated evaluations, in a game tree generated by a computer game playing program. If a position recurs via a different sequence of moves, the ...

, 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 **

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. Congenit ...

, 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, transposon, or jumping gene) is a nucleic acid sequence in DNA that can change its position within a genome, sometimes creating or reversing mutations and altering the cell's genetic identity and genome size. Tran ...

, 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, one might transpose an entire piece of music into another key. ...

, moving a note or collection of notes up or down in pitch by a constant number of semitones * Transposition (transmission lines), periodic swapping of positions of the conductors of a transmission line *

Transposition cipher In cryptography, a transposition cipher is a method of encryption which scrambles the positions of characters (''transposition'') without changing the characters themselves. Transposition ciphers reorder units of plaintext (typically characters or ...

, an elementary cryptographic operation *

Transposition, docking, and extraction Transposition, docking, and extraction (often abbreviated to transposition and docking) was a maneuver performed during Apollo lunar landing missions from 1969 to 1972, to withdraw the Apollo Lunar Module (LM) from its adapter housing which sec ...

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 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 notations). The tr ...

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