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The Collaborative International Dictionary
Transposition

Transposition \Trans`po*si"tion\, n. [F. transposition, from L. transponere, transpositum, to set over, remove, transfer; trans across, over + ponere to place. See Position.] The act of transposing, or the state of being transposed. Specifically:

  1. (Alg.) The bringing of any term of an equation from one side over to the other without destroying the equation.

  2. (Gram.) A change of the natural order of words in a sentence; as, the Latin and Greek languages admit transposition, without inconvenience, to a much greater extent than the English.

  3. (Mus.) A change of a composition into another key.

Douglas Harper's Etymology Dictionary
transposition

1530s, from Middle French transposition or directly from Medieval Latin transpositionem (nominative transpositio), noun of action from past participle stem of transponere (see transpose).

Wiktionary
transposition

n. 1 The act or process of transpose or interchanging. 2 (context music English) A shift of a piece of music to a different musical key by adjusting all the notes of the work equally either up or down in pitch. 3 (context chess English) A sequence of moves resulting in a position that may also be reached by another, more common sequence.

WordNet
transposition
  1. n. any abnormal position of the organs of the body [syn: heterotaxy]

  2. an event in which one thing is substituted for another; "the replacement of lost blood by a transfusion of donor blood" [syn: substitution, permutation, replacement, switch]

  3. (genetics) a kind of mutation in which a chromosomal segment is transfered to a new position on the same or another chromosome

  4. (mathematics) the transfer of a quantity form one side of an equation to the other along with a change of sign

  5. (electricity) a rearrangement of the relative positions of power lines in order to minimize the effects of mutual capacitance and inductance; "he wrote a textbook on the electrical effects of transposition"

  6. the act of reversing the order or place of [syn: reversal]

  7. (music) playing in a different key from the key intended; moving the pitch of a piece of music upwards or downwards

Wikipedia
Transposition

Transposition may refer to:

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. Similarly, one might transpose a tone row or an unordered collection of pitches such as a chord so that it begins on another pitch.

The transposition of a set A by n semitones is designated by T(A''), representing the addition ( mod 12) of an integer n to each of the pitch class integers of the set A. Thus the set (A) consisting of 0-1-2 transposed by 5 semitones is 5-6-7 (T(A'')) since 0+5=5, 1+5=6, and 2+5=7.

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 truth of "A implies B" the truth of "Not-B implies not-A", and conversely. It is very closely related to the rule of inference modus tollens. It is the rule that:

(P → Q) ⇔ (¬Q → ¬P)

Where " ⇔ " is a metalogical symbol representing "can be replaced in a proof with."

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. In telecommunications this applies to balanced pairs whilst in power transmission lines three conductors are periodically transposed.

For cables, the swapping is gradual and continuous; that is the two or three conductors are twisted around each other. For communication cables this is called twisted pair. For overhead power lines or open pair communication lines, the conductors are exchanged at pylons, for example at transposition towers or at utility poles, respectively.

The mutual influence of electrical conductors is reduced by transposition. Transposition also equalizes their impedance relative to ground, thus avoiding one-sided loads in three-phase electric power systems. Transposing is an effective measure for the reduction of inductively linked normal mode interferences.

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. Players sometimes use transpositions deliberately in order to avoid variations they dislike, lure opponents into unfamiliar or uncomfortable territory or simply to worry opponents.

In chess the verb "transpose" means shifting the game on to a different opening track from that on which it started.

Transposition tables are an essential part of a computer chess program.

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 legislation.

The European Commission closely monitors that transposition is timely, correctly done and implemented, so as to attain the results intended. Incorrect transposition may be the result of non acting (leaving aside certain provisions), diverging (other scope, definition or requirement), " gold-plating" (exceeding the requirements of the directive), "double-banking" (overlapping between existing national laws and the transposed directive), or "regulatory creep" (overzealous enforcement or a state of uncertainty in the status of the regulation).

The European Commission may bring a case in the European Court of Justice against states which have not transposed directives adequately. Additionally, any individual or business in a Member State may lodge a complaint with the Commission about the incorrect or delayed transposition of an EU directive or "for any measure (law, regulation or administrative action) or practice attributable to a Member State which they consider incompatible with a provision or a principle of EU law".

The Commission publishes an annual report summarising how EU law has been transposed, with statistics on the numbers and types of infringements, per country and sector.

Usage examples of "transposition".

I am the discoverer of the great law of the electrical transposition of the metals, and I am the first to demonstrate protyle, so that, I think, Robert, if all my schemes in other directions come to nothing, my name is at least likely to live in the chemical world.

Playing such a part on a B-flat trumpet requires mentally transposing every note, and by a different interval for every key of transposition.

Ghaldron-Hesthor paratemporal transposition field was uninfluenced by material objects outside it.

Nevertheless, it was in the nature of the transposition that had taken place that of anything of occult or other significance to be seen he should now have a substantial and unintermittent view.

In musical terminology this corresponds to transposition into a different key.

There was a fifty-foot conveyer dome inside, and a fifty-foot redlined circle that marked the transposition point of an outtime conveyer.

He seems to have enjoyed some success in solving the Japanese ciphers, which appear to have been columnar transposition of the kana symbols.

Transposition of the letters of a word common amongst Talmudists, 698-m.

When the Art of Transposition causes the veins of the marble to revert back to the blood of the Heretics, this shall be an example of the craft that will have no previous equal in its complexity.

When we look at the molecular-genetic basis of life, all we can find are differences and singularities: multiple variations, competing alleles, aberrant particle distributions, unforeseeable sequence transpositions.

And locate all the big antigrav-equipped ship transposition docks on Commercial and Passenger Sectors, and a list of freighters and passenger ships that can be commandeered in a hurry.

It has all the marks of a large-scale operation, and if this is a matter of mass kidnappings from one sector and transpositions to another, you can see what a threat this is to the Paratime Secret.

The system depended on CD-ROMs stamped with totally random transpositions, and unless you could find a key to atmospheric RF noise, that was the end of that.

The Outtime Trading Corporation has transposition facilities at Ravvanan, on the Nile, which is spatially coexistent with the city of Ghamma on the Akor-Neb Sector, where Zortan Brend is.

The Ghaldron-Hesthor Transposition Field was a collaboration between Chaldron (who was working to develop a spacewarp drive) and Hesthor (who was working on the possibility of linear time travel, that is to get back to the past) and Rhogom (who was studying precognition).