Transposing Instrument- Written Sounds As
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Transposing Instrument- Written Sounds As
Transposition may refer to: Logic and mathematics * Transposition (mathematics), a permutation which exchanges two elements and keeps all others fixed * Transposition, producing the transpose of a matrix ''A''T, which is computed by swapping columns for rows in the matrix ''A'' * Transpose of a linear map * Transposition (logic), a rule of replacement in philosophical logic * Transpose relation, another name for converse relation Games * Transposition (chess), 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 ** Transposition of the great vessels, cardiac transposition, a congenital heart defect with malformation of any of the major vessels ** Transposition of teeth ** Penoscrotal transposition * Transp ...
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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, mapping to themselves) all other elements of ''X''. If ''S'' has ''k'' elements, the cycle is called a ''k''-cycle. Cycles are often denoted by the list of their elements enclosed with parentheses, in the order to which they are permuted. For example, given ''X'' = , the permutation (1, 3, 2, 4) that sends 1 to 3, 3 to 2, 2 to 4 and 4 to 1 (so ''S'' = ''X'') is a 4-cycle, and the permutation (1, 3, 2) that sends 1 to 3, 3 to 2, 2 to 1 and 4 to 4 (so ''S'' = and 4 is a fixed element) is a 3-cycle. On the other hand, the permutation that sends 1 to 3, 3 to 1, 2 to 4 and 4 to 2 is not a cyclic permutation because it separately permutes the pairs and . The set ''S'' is called the orbit of the cycle. Every permutation on finitely many eleme ...
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Penoscrotal Transposition
Penoscrotal transposition (PST) is a group of congenital defects involving an abnormal spatial arrangement of penis and scrotum The scrotum or scrotal sac is an anatomical male reproductive structure located at the base of the penis that consists of a suspended dual-chambered sac of skin and smooth muscle. It is present in most terrestrial male mammals. The scrotum co .... Types There are two types of penoscrotal transposition. * Complete penoscrotal transposition * Incomplete penoscrotal transposition In incomplete penoscrotal transposition, penis is located in the middle of the scrotum, but in complete transposition, penis is located in the perineum. Causes Treatment Gold standard of PST treatment is surgical repair. Repair technique of penoscrotal transposition included a Glenn–Anderson technique, which is developed by F. Glenn and E. Everett Anderson. References {{Med-stub Congenital disorders of urinary system Congenital disorders of male genital orga ...
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Sleight Of Hand
Sleight of hand (also known as prestidigitation or ''legerdemain'' ()) refers to fine motor skills when used by performing artists in different art forms to entertain or manipulate. It is closely associated with close-up magic, card magic, card flourishing and stealing. Because of its heavy use and practice by magicians, sleight of hand is often confused as a branch of magic; however, it is a separate genre of entertainment and many artists practice sleight of hand as an independent skill. Sleight of hand pioneers with worldwide acclaim include Dan and Dave, Ricky Jay, Derek DelGaudio, David Copperfield, Yann Frisch, Norbert Ferré, Dai Vernon, Cardini, Tony Slydini and Helder Guimarães. Etymology and history The word ''sleight'', meaning "the use of dexterity or cunning, especially so as to deceive", comes from the Old Norse. The phrase ''sleight of hand'' means "quick fingers" or "trickster fingers". Common synonyms of Latin and French include ''prestidigitation'' and ' ...
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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 secured it to the Saturn V launch vehicle upper stage and protected it from the aerodynamic stresses of launch. The maneuver involved the command module pilot separating the Apollo Command and Service Module (CSM) from the adapter, turning the CSM around, and docking its nose to the Lunar Module, then pulling the combined spacecraft away from the upper stage. It was performed shortly after the trans-lunar injection maneuver that placed the Apollo spacecraft on a three-day trajectory to the Moon. The docking created a continuous, pressurized tunnel which permitted the astronauts to transfer internally between the CSM and the LM. The same maneuver was performed on the 1975 Apollo–Soyuz Test Project (ASTP) mission to extract a special dockin ...
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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 groups of characters) according to a regular system to produce a ciphertext which is a permutation of the plaintext. They differ from substitution ciphers, which do not change the position of units of plaintext but instead change the units themselves. Despite the difference between transposition and substitution operations, they are often combined, as in historical ciphers like the ADFGVX cipher or complex high-quality encryption methods like the modern Advanced Encryption Standard (AES). General principle Plaintexts can be rearranged into a ciphertext using a key, scrambling the order of characters like the shuffled pieces of a jigsaw puzzle. The resulting message is hard to decipher without the key because there are many ways the char ...
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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 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 the 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. Power lines For longer powerlin ...
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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''''n''(''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''5(''A'')) since , , and . Scalar transpositions In scalar transposition, every pitch in a collection is shifted up or down a fixed number of scale steps within some scale. The pitches remain in the same scale before and after the shift. This term covers both chromatic and diatonic transpositions as follows. Chromatic transpo ...
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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 The European Court of Justice (ECJ, french: Cour de Justice européenne), formally just the Court of Justice, ...
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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. Transposition often results in duplication of the same genetic material. Barbara McClintock's discovery of them earned her a Nobel Prize in 1983. Its importance in personalized medicine is becoming increasingly relevant, as well as gaining more attention in data analytics given the difficulty of analysis in very high dimensional spaces. Transposable elements make up a large fraction of the genome and are responsible for much of the C-value, mass of DNA in a eukaryotic cell. Although TEs are selfish genetic elements, many are important in genome function and evolution. Transposons are also very useful to researchers as a means to alter DNA inside a living organism. There are at least two classes of TEs: Class I TEs or retrotransposons generally ...
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Transposition (horizontal Gene Transfer)
Horizontal gene transfer (HGT) or lateral gene transfer (LGT) is the movement of genetic material between unicellular and/or multicellular organisms other than by the ("vertical") transmission of DNA from parent to offspring (reproduction). HGT is an important factor in the evolution of many organisms. HGT is influencing scientific understanding of higher order evolution while more significantly shifting perspectives on bacterial evolution. Horizontal gene transfer is the primary mechanism for the spread of antibiotic resistance in bacteria, and plays an important role in the evolution of bacteria that can degrade novel compounds such as human-created pesticides and in the evolution, maintenance, and transmission of virulence. It often involves temperate bacteriophages and plasmids. Genes responsible for antibiotic resistance in one species of bacteria can be transferred to another species of bacteria through various mechanisms of HGT such as transformation, transduction and ...
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Transposition Of Teeth
Transposition may refer to: Logic and mathematics * Transposition (mathematics), a permutation which exchanges two elements and keeps all others fixed * Transposition, producing the transpose of a matrix ''A''T, which is computed by swapping columns for rows in the matrix ''A'' * Transpose of a linear map * Transposition (logic), a rule of replacement in philosophical logic * Transpose relation, another name for converse relation Games * Transposition (chess), 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 ** Transposition of the great vessels, cardiac transposition, a congenital heart defect with malformation of any of the major vessels ** Transposition of teeth ** Penoscrotal transposition * Trans ...
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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 transpose of a matrix was introduced in 1858 by the British mathematician Arthur Cayley. In the case of a logical matrix representing a binary relation R, the transpose corresponds to the converse relation RT. Transpose of a matrix Definition The transpose of a matrix , denoted by , , , A^, , , or , may be constructed by any one of the following methods: # Reflect over its main diagonal (which runs from top-left to bottom-right) to obtain #Write the rows of as the columns of #Write the columns of as the rows of Formally, the -th row, -th column element of is the -th row, -th column element of : :\left mathbf^\operatorname\right = \left mathbf\right. If is an matrix, then is an matrix. In the case of square matrices, ...
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