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Matrix operation which flips a matrix over its diagonal
In linear algebra, transposition is an operation that flips a matrix over its diagonal; that is, transposition switches the row and column indices of
Transpose
Complex matrix A* obtained from a matrix A by transposing it and conjugating each entry
In mathematics, the conjugate transpose, also known as the Hermitian transpose, of an m × n {\displaystyle m\times n} complex matrix A {\displaystyle \mathbf
Conjugate_transpose
Topics referred to by the same term
Look up transposition in Wiktionary, the free dictionary. Transposition may refer to: Transposition (mathematics), a permutation which exchanges two elements
Transposition
Operation in 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
Transposition_(music)
DNA sequence that jumps/transposes within a genome
Transposable elements (TEs), also known as transposons, jumping genes, or mobile genetic elements, are DNA sequences that can change their position, or
Transposable_element
Directed graph with reversed edges
the mathematical and algorithmic study of graph theory, the converse, transpose or reverse of a directed graph G is another directed graph on the same
Transpose_graph
Method of encryption
a transposition cipher (also known as a permutation cipher) is a method of encryption which scrambles the positions of characters (transposition) without
Transposition_cipher
Reaching a chess position via an alternative sequence of moves
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
Transposition_(chess)
Type of transmitter in telecommunications
In broadcasting, a transposer or translator is a device in or beyond the service area of a radio or television station transmitter that rebroadcasts signals
Transposer
Replicative transposition is a mechanism of transposition in molecular biology, proposed by James A. Shapiro in 1979, in which the transposable element is
Replicative_transposition
Musical instrument for which notated pitch differs from sounding pitch
A transposing instrument is a musical instrument for which music notation is not written at concert pitch (concert pitch is the pitch on a non-transposing
Transposing_instrument
Piano mechanism
A transposing piano is a special piano with a mechanism (operated by a pedal or lever) that changes the keyboard position relative to the action (see
Transposing_piano
Induced map between the dual spaces of the two vector spaces
In linear algebra and functional analysis, the transpose or algebraic adjoint of a linear map between two vector spaces, defined over the same field,
Transpose_of_a_linear_map
Matrix equal to its conjugate-transpose
matrix with complex-valued entries that is equal to its own conjugate transpose. That is, if the element in the j {\displaystyle j} -th row and k
Hermitian_matrix
Problem in computer science
In-place matrix transposition, also called in-situ matrix transposition, is the problem of transposing an N×M matrix in-place in computer memory, ideally
In-place_matrix_transposition
Unique numeric book identifier since 1970
adjacent digit transposition. Specifically, if the difference between two adjacent digits is 5, the check digit will not catch their transposition. For instance
ISBN
Criterion in quantum information theory
separable. It is also called the PPT criterion, for positive partial transpose. In the 2×2 and 2×3 dimensional cases the condition is also sufficient
Peres–Horodecki_criterion
Matrix consisting of a single row or column
both row and column vectors.) The transpose (indicated by T) of any row vector is a column vector, and the transpose of any column vector is a row vector:
Row_and_column_vectors
Weak form of quantum entanglement
Horodecki. Bipartite entangled states that have a non-negative partial transpose are all bound-entangled. Moreover, a particular quantum state for 2x4
Bound_entanglement
Conjugate transpose of an operator in infinite dimensions
matrices, the Hermitian adjoint is given by the conjugate transpose (also known as the Hermitian transpose). The above definition of an adjoint operator extends
Hermitian_adjoint
Psychological effect involving letters in a word
In psychology, the transposed letter effect is a phenomenon in which letters within a word are switched. The phenomenon takes place when two letters in
Transposed_letter_effect
2002 EP by Eraserheads
Please Transpose is the third and final extended play by the Philippine alternative rock band Eraserheads (credited as Eheads). Released in August 2002
Please_Transpose
Maneuver done by the Apollo spacecraft
Transposition, docking, and extraction (often abbreviated to transposition and docking) was a maneuver performed during Apollo lunar landing missions from
Transposition, docking, and extraction
Transposition,_docking,_and_extraction
This is a list of transposing instruments and their transposition. Transposing instruments are instruments for which the convention is to write music notation
List of transposing instruments
List_of_transposing_instruments
In mathematics, vector space of linear forms
duals. If f : V → W {\displaystyle f:V\to W} is a linear map, then the transpose (or dual) f ∗ : W ∗ → V ∗ {\displaystyle f^{*}:W^{*}\to V^{*}} is defined
Dual_space
Chess opening
Nc3. Black can play 5...d6, transposing to the Classical Variation; 5...e5, the Sveshnikov Variation; or 5...e6, transposing to the Four Knights Variation
Sicilian_Defence
Musical modes with repeating intervals
Modes of limited transposition are musical modes or scales that fulfill specific criteria relating to their symmetry and the repetition of their interval
Mode_of_limited_transposition
Real square matrix whose columns and rows are orthogonal unit vectors
is the transpose of Q and I is the identity matrix. This leads to the equivalent characterization: a matrix Q is orthogonal if its transpose is equal
Orthogonal_matrix
American indie rock band
on me, at a young age, as far as song composition goes." The debut EP, Transpose, features angst-ridden riffs and ethereal vocals reminiscent of post-punk
Bad_Suns
Cache of previously seen positions, and associated evaluations in a game tree
A transposition table is a cache of previously seen positions, and associated evaluations, in a game tree generated by a computer game playing program
Transposition_table
Chess opening
Indian defences, transpositions are important. Many variations can be reached by several move orders. It is also possible to transpose back into classical
Indian_Defence
Japanese nation state from 1868 to 1947
The Empire of Japan (大日本帝国; lit. Greater Japanese Empire), also known as the Japanese Empire or Imperial Japan, was the period of Japanese history spanning
Empire_of_Japan
For a square matrix, the transpose of the cofactor matrix
the adjugate or classical adjoint adj(A) of a square matrix A is the transpose of its cofactor matrix. It is occasionally known as adjunct matrix, or
Adjugate_matrix
1945 attacks in Japan during WWII
navigator's log was 9,470 meters (31,060 ft)—the latter possibly an error transposing two digits. A later calculation using the indicated atmospheric pressure
Atomic bombings of Hiroshima and Nagasaki
Atomic_bombings_of_Hiroshima_and_Nagasaki
Practice of implementing EU rules via national measures
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
Transposition_(law)
Teaching method
as well. Didactic transposition is composed of multiple steps. The first step, called the "external transposition" (transposition externe), is about
Didactic_method
Transposable element system in maize
Ac/Ds transposable controlling elements was the first transposable element system recognized in maize. The Ac Activator element is autonomous, whereas
Ac/Ds transposable controlling elements
Ac/Ds_transposable_controlling_elements
Congenital defect
penoscrotal transposition. Complete penoscrotal transposition Incomplete penoscrotal transposition In incomplete penoscrotal transposition, penis is located
Penoscrotal_transposition
Type of (mathematical) permutation with no fixed element
given permutation into transpositions have an even number of transpositions, or they all have an odd number of transpositions. This permits the parity
Cyclic_permutation
European Union directive
only Liechtenstein has fully transposed the NIS2 Directive. While the EFTA commission is conducting preparations to transpose the directive into its legislation
NIS2_Directive
Mistake made in typing printed material
(often shortened to typo), also called a misprint, is a spelling or transposition mistake made in the typing of printed or electronic material. Historically
Typographical_error
Type of electrical transmission tower
In electrical power transmission, a transposition tower is a transmission tower that changes the relative physical positions of the conductors of a transmission
Transposition_tower
Group of congenital heart defects
Transposition of the great vessels (TGV) is a group of congenital heart defects involving an abnormal spatial arrangement of any of the great vessels:
Transposition of the great vessels
Transposition_of_the_great_vessels
Chess opening
to a lesser extent, as the Zukertort Opening (1.Nf3). In particular, transpositions to the King's Indian Defence and Queen's Gambit Declined are common
English_Opening
Array of numbers
that is equal to its transpose, that is, A = AT, is a symmetric matrix. If instead, A is equal to the negative of its transpose, that is, A = −AT, then
Matrix_(mathematics)
Complex matrix whose conjugate transpose equals its inverse
square matrix U is unitary if its matrix inverse U−1 equals its conjugate transpose U*, that is, if U ∗ U = U U ∗ = I , {\displaystyle U^{*}U=UU^{*}=I,} where
Unitary_matrix
Matrix that commutes with its conjugate transpose
a complex square matrix A is normal if it commutes with its conjugate transpose A*: A normal ⟺ A ∗ A = A A ∗ . {\displaystyle A{\text{ normal}}\iff A^{*}A=AA^{*}
Normal_matrix
musician to transpose such music down a fifth. Other theorists, such as Adriano Banchieri (1601) and Picerli (1631), indicate to transpose down a fifth
Chiavette
Swapping of positions of the conductors of a transmission line
Transposition is the periodic swapping of positions of the conductors of a transmission line, in order to reduce crosstalk and otherwise improve transmission
Transposition (transmission lines)
Transposition_(transmission_lines)
Matrix equal to its transpose
linear algebra, a symmetric matrix is a square matrix that is equal to its transpose. Formally, A is symmetric ⟺ A = A T . {\displaystyle A{\text{ is symmetric}}\iff
Symmetric_matrix
Chess opening
this characteristic. The Bishop's Opening can transpose into either of these openings. Transpositions into the Giuoco Piano and the Two Knights Defense
Bishop's_Opening
Country in Central Europe
the world's architectural heritage when Czech architects attempted to transpose the Cubism of painting and sculpture into architecture. Between World
Czech_Republic
Chess opening
10.Bc2 transposes to the Pilnik. The tempo lost by playing Bc4-b5 is regained by playing Ba4-c2 in one move. 9.a4, after 9...b4 10.a5, transposes to a line
Ruy_Lopez
American biochemist
"Launching Transpose, a database of journal policies on preprinting & peer review". ASAPbio. 13 June 2019. Retrieved 2019-06-24. "Transpose". transpose-publishing
Jessica_Polka
Country in Western Europe
legislative framework Paquet Telecom of the Government of 2011 which transposes the European Telecom Directives into Luxembourgish law. This encourages
Luxembourg
Simple, or conservative transposition, is a non-replicative mode of transposition. That is, in conservative transposition the transposon is completely
Conservative_transposition
Change in the heritable traits of populations
discussion 211–217 Hickey, Donal A. (1992). "Evolutionary dynamics of transposable elements in prokaryotes and eukaryotes". Genetica. 86 (1–3): 269–274
Evolution
Property of a mathematical matrix
vector transpose of x . {\displaystyle \mathbf {x} .} More generally, a Hermitian matrix (that is, a complex matrix equal to its conjugate transpose) is
Definite_matrix
Chess opening
Defense) is a chess opening defined by the moves: 1. d4 Nc6 Unless the game transposes to another opening, the Encyclopedia of Chess Openings classifies the
Bogoljubov–Mikenas_Defense
Algorithm for modelling sequential data
| ) {\displaystyle (d_{\text{emb}},|V|)} . Some architectures use the transpose of the embedding matrix M {\displaystyle M} as the un-embedding matrix
Transformer_(deep_learning)
Chess opening
where White usually plays 3.Bd2, avoiding a transposition to the Nimzo-Indian Defence; however, transpositions to other openings such as the Bogo-Indian
Franco-Indian_Defence
Chess opening
3.Nf3 for White. The Queen's Gambit Declined can be also reached by transposition from a number of other move orders. A common example is 1.d4 Nf6 2.c4
Queen's_Gambit_Declined
Dimension of the column space of a matrix
the result to the transpose of A. Since the row rank of the transpose of A is the column rank of A and the column rank of the transpose of A is the row
Rank_(linear_algebra)
Reference point for tuning musical instruments
relative to this pitch. The written pitches for transposing instruments do not match those of non-transposing instruments. For example, a written C on a B♭
Concert_pitch
Mathematical equivalence between matrices
defines congruence in terms of conjugate transpose (with respect to a complex inner product space) rather than transpose, but this definition has not been adopted
Matrix_congruence
1940 novella by Thomas Mann
The Transposed Heads (German: Die vertauschten Köpfe) is a novella by Thomas Mann. It was written in 1940 and published later that year by Bermann-Fischer
The_Transposed_Heads
Reversal of the order of elements of a binary relation
matrix of the converse relation is the transpose of the original, the converse relation is also called the transpose relation. It has also been called the
Converse_relation
module over Λ does not depend on the choice of R (up to isomorphism). The transpose Tr(M) of a left Λ-module M is a right Λ-module defined to be the cokernel
Artin_algebra
Matrix whose conjugate transpose is its negative (additive inverse)
entries is said to be skew-Hermitian or anti-Hermitian if its conjugate transpose is the negative of the original matrix. That is, the matrix A {\displaystyle
Skew-Hermitian_matrix
Theorem about the dual of a Hilbert space
by (Adjoint-transpose) to essentially be just the transpose t A : H ∗ → H ∗ . {\displaystyle {}^{t}A:H^{*}\to H^{*}.} Because the transpose of A {\displaystyle
Riesz_representation_theorem
that proofreading marks should be ignored and the copy unchanged tr transpose Transpose the two words selected wf Wrong font Put text in correct font ww
List_of_proofreader's_marks
Mathematical logic concept
In logic and mathematics, contraposition, or transposition, refers to the inference of going from a conditional statement into its logically equivalent
Contraposition
Matrix defined using smaller matrices called blocks
the same equation holds with the transpose replaced by the conjugate transpose. A special form of matrix transpose can also be defined for block matrices
Block_matrix
Chess opening
White can choose from multiple setups. 4.d4, 4.Nf3, and 4.Bc4 often transpose to the same line. The main line after 3...Qa5 continues 4.d4 c6 5.Nf3
Scandinavian_Defense
Bowed string instrument
whether the bass is derived from the viol or the violin family. Being a transposing instrument, the bass is typically notated one octave higher than tuned
Double_bass
Russian novelist (1821–1881)
non-corresponding form". His extensive explanations in opposition to the transposition of his works into other media were groundbreaking in fidelity criticism
Fyodor_Dostoevsky
Literary genre
amenable to transposition into an artistic language that resonates with its essential qualities: it can, in other words, be "transposed into the language
Carnivalesque
Transfer of genes from unrelated organisms
host that are found in the alphaproteobacteria order Rhodobacterales. A transposable element (TE) (also called a transposon or jumping gene) is a mobile segment
Horizontal_gene_transfer
1847 novel by Emily Brontë
setting to France in 1931. Yoshishige Yoshida's 1988 adaptation also has a transposed setting, this time to medieval Japan. In Yoshida's version, the Heathcliff
Wuthering_Heights
Inability to refrain from defecation
for instances where the sphincters were intact but weakened. Muscle transpositions using the gluteus maximus or the gracilis were devised, but did not
Fecal_incontinence
Musical mode
corresponding to the piano keyboard's white notes from D to D, or any transposition of itself. The Dorian mode (properly harmonia or tonos) is named after
Dorian_mode
Dual pair of vector spaces
E:U\to X} is a linear map whose transpose t E : Y → V {\displaystyle {}^{t}E:Y\to V} is well-defined. Then the transpose of F ∘ E : U → W , {\displaystyle
Dual_system
Fundamental operation on complex numbers
notation, a vinculum, avoids confusion with the notation for the conjugate transpose of a matrix, which can be thought of as a generalization of the complex
Complex_conjugate
Numbers obtained by adding the two previous ones
Digit-permutation related Cyclic Digit-reassembly Parasitic Primeval Transposable Divisor-related Equidigital Extravagant Frugal Harshad Polydivisible
Fibonacci_sequence
Index of articles associated with the same name
adjoint or adjunction may mean: Adjoint of a linear map, also called its transpose in case of matrices Hermitian adjoint (adjoint of a linear operator) in
Adjoint
Large permanent human settlement
monopolies, demanding the physical presence of all participants, have now been transposed into forms capable of swift transportation, mechanical manifolding, electronic
City
transposed excitation of a dipole array means that adjacent dipoles in the array are excited in opposite directions. Dipole arrays with transposed excitation
Transposed_excitation
Brass instrument
compact shape, and mellower tone quality. The most common cornet is a transposing instrument in B♭. There is also a soprano cornet in E♭ and cornets in
Cornet
Group of congenital defects
Transposition is a group of congenital defects involving an abnormal spatial arrangement of tissue or organ. Transposition of the great vessels, cardiac
Transposition_(birth_defect)
Mathematical operation in linear algebra
}} denotes the conjugate transpose of x {\displaystyle \mathbf {x} } (conjugate of the transpose, or equivalently transpose of the conjugate). Matrix
Matrix_multiplication
Matrix with the same number of rows and columns
{v} R^{\mathsf {T}}} , where R T {\displaystyle R^{\mathsf {T}}} is the transpose of R {\displaystyle R} . The entries a i i {\displaystyle a_{ii}} (i =
Square_matrix
Algebraic operation on coordinate vectors
} where a T {\displaystyle \mathbf {a} {^{\mathsf {T}}}} denotes the transpose of a {\displaystyle \mathbf {a} } . Expressing the above example in this
Dot_product
1957 short film by Alejandro Jodorowsky
Les têtes interverties, also known as La cravate, The Transposed Heads and The Severed Heads, is a 1957 French short film written and directed by Alejandro
Les_têtes_interverties
Metric in computer science
of insertions, deletions or substitutions of a single character, or transposition of two adjacent characters) required to change one word into the other
Damerau–Levenshtein_distance
Logical fallacy
Confusion of the inverse, also called the conditional probability fallacy or the inverse fallacy, is a logical fallacy whereupon a conditional probability
Confusion_of_the_inverse
denotes the ordinary transpose of A. This can be extended to arbitrary supermatrices by linearity. Unlike the ordinary transpose, the supertranspose is
Supermatrix
English singer-songwriter (born 1958)
Grave: Deconstructing the Death of Progressive Rock". Transposition (10). doi:10.4000/transposition.7101. hdl:2434/948377. S2CID 250229571. Archived from
Kate_Bush
Matrix with exactly one 1 per row and column
Every permutation matrix P is orthogonal, with its inverse equal to its transpose: P − 1 = P T {\displaystyle P^{-1}=P^{\mathsf {T}}} . Indeed, permutation
Permutation_matrix
Topological vector spaces
distributions are often defined by means of the transpose of a linear operator. This is because the transpose allows for a unified presentation of the many
Spaces of test functions and distributions
Spaces_of_test_functions_and_distributions
American astronaut (born 1930)
onto its trajectory toward the Moon. About thirty minutes later, the transposition, docking, and extraction maneuver was performed: this involved separating
Buzz_Aldrin
TRANSPOSE
TRANSPOSE
Male
Hebrew
(עַוְלָה) Variant of Hebrew Alvah (having the letters transposed), ALIAH means "evil, iniquity." In the bible, this is the name of a duke of Edom.Â
Surname or Lastname
English
English : unexplained; perhaps a variant of Hillock in which the vowels have been transposed.
Female
English
Perhaps a transposed form of English Miranda, MARINDA means "admirable."
TRANSPOSE
TRANSPOSE
Surname or Lastname
English
English : patronymic from Middle English sour ‘sour’, ‘tart’, used as a nickname for a sour-tempered, sharp-tongued person.
Girl/Female
Hindu, Indian
Raga of Traditional Hnidustani Music
Boy/Male
Tamil
Lord Shiva
Boy/Male
African
curly-haired child'.
Boy/Male
Indian, Punjabi, Sikh
Protector of Valour
Girl/Female
Hindu, Indian, Marathi
A Devotee of God
Girl/Female
Greek
Pure.
Boy/Male
Indian, Telugu
Father of the King
Boy/Male
Hindu, Indian
God Shiva Blessed; God Shiva's Invincible Worship
Girl/Female
Australian, French
Feminine of Jacques; Derived from James and Jacob
TRANSPOSE
TRANSPOSE
TRANSPOSE
TRANSPOSE
TRANSPOSE
v. t.
To change the natural order of, as words.
n.
The act of transposing, or the state of being transposed; transposition.
v. t.
To bring, as any term of an equation, from one side over to the other, without destroying the equation; thus, if a + b = c, and we make a = c - b, then b is said to be transposed.
n.
One who transposes.
n.
The act of transposing, or the state of being transposed.
imp. & p. p.
of Transpose
a.
That may transposed; as, a transposable phrase.
v. t.
To change the place or order of; to substitute one for the other of; to exchange, in respect of position; as, to transpose letters, words, or propositions.
a.
Of or pertaining to an hyperbaton; transposed; inverted.
v. t.
To change the key of.
v. t.
To transpose, as the letters of a word, so as to form an anagram.
v. t.
To change or transpose the elements of; to transubstantiate.
v. t.
To change; to transform; to invert.
p. pr. & vb. n.
of Transpose
n.
A figure in which the same words or ideas are repeated in transposed order.