Transposition
Encyclopedia
Transposition may refer to:
Mathematics
Games
Biology
Other uses
Mathematics
- Transposition (mathematics), a permutation which exchanges two elements and keeps all others fixed
- Transposition, producing the transposeTransposeIn linear algebra, the transpose of a matrix A is another matrix AT created by any one of the following equivalent actions:...
of a matrix AT, which is computed by swapping columns for rows in the matrix A
Games
- Transposition (chess)Transposition (chess)A transposition in chess 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 opening, where a given position may be reached by different sequences of moves...
, different moves or a different move order leading to the same position, especially during the openings - Transposition tableTransposition tableIn computer chess and other computer games, transposition tables are used to speed up the search of the game tree. Transposition tables are primarily useful in perfect information games, meaning the entire state of the game is known to all players at all times....
, used in computer games to speed up the search of the game tree
Biology
- Transposition of the great vesselsTransposition of the great vesselsTransposition of the great vessels is a group of congenital heart defects involving an abnormal spatial arrangement of any of the primary blood vessels: superior and/or inferior vena cavae , pulmonary artery, pulmonary veins, and aorta...
, cardiac transposition, a congenital heart defect with malformation of any of the major vessels - Transposons, 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)Transposition (law)The incorporation of international law is the process by international agreements become part of the municipal law of a sovereign state. A country incorporates a treaty by passing domestic legislation that gives effect to the treaty in the national legal system....
, the incorporation of the provisions of a European Union directive into a Member State's domestic law - Transposition (logic)Transposition (logic)In the methods of deductive reasoning in classical logic, transposition is the rule of inference that permits one to infer from the truth of "A implies B" the truth of "Not-B implies not-A", and conversely. Its symbolic expression is:...
, a rule of replacement in philosophical logic - Transposition (music)Transposition (music)In music transposition refers to the process, or operation, of moving a collection of notes 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 (telecommunications)Transposition (telecommunications)Transposition is the periodic swapping of positions of the conductors of a transmission line, in order to reduce crosstalk and otherwise improve transmission...
- Transposition cipherTransposition cipherIn cryptography, a transposition cipher is a method of encryption by which the positions held by units of plaintext are shifted according to a regular system, so that the ciphertext constitutes a permutation of the plaintext. That is, the order of the units is changed...
, an elementary cryptographic operation - Transposition, docking, and extractionTransposition, docking, and extractionTransposition, docking, and extraction is a space rendezvous maneuver performed during the Apollo lunar missions of the 1960s and 70s...
an orbital maneuver performed on the Apollo lunar missions - Transposition, sleight of hand magic, a performer appears to make two different objects ([usually] coins or cards) switch places with one another faster than physically possible.