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Quantum feature of condensed-matter systems
matter physics, an off-diagonal long-range order (ODLRO) is a feature of macroscopic quantum phenomena. It refers to off-diagonal elements in the density
Off-diagonal_long-range_order
British theoretical physicist (born 1929)
of surfactants. He is known for introducing the concept of off-diagonal long-range order, important to the present understanding of superfluids and superconductors
Oliver_Penrose
Potential for two waves to interfere
quantum coherence, presenting off-diagonal long-range order (ODLRO) for superfluidity, and laser light, is related to first-order (1-body) coherence/ODLRO
Coherence_(physics)
Chinese-American physicist (1922–2025)
quantum. ODLRO (1962): for his development of the concept of off-diagonal long-range order (ODLRO) that characterizes macroscopic quantum phenomena like
Yang_Chen-Ning
Physics model of a 1D gas of bosons
not demonstrate any of the necessary characteristics, such as off-diagonal long-range order or a unitary two-body correlation function, even in a thermodynamic
Tonks–Girardeau_gas
Electrical conductivity with exactly zero resistance
broken symmetry of the superconductor and the emergence of off-diagonal long range order. Superconductivity is a thermodynamic phase, and thus possesses
Superconductivity
Type of order at absolute zero
Bibcode:1989PhRvB..3911413W. doi:10.1103/PhysRevB.39.11413. PMID 9947970. Off-diagonal long-range order, oblique confinement, and the fractional quantum Hall effect
Topological_order
Specific quantum state of a quantum harmonic oscillator
generalized measure of macroscopic quantum coherence, called off-diagonal long-range order (ODLRO), that included fermion as well as boson systems. ODLRO
Coherent_state
Structure that repeats in time; a novel type or phase of non-equilibrium matter
translation symmetry in macroscopic systems: Precessing states and off-diagonal long-range order". JETP Letters. 98 (8): 491–495. arXiv:1309.1845. Bibcode:2013JETPL
Time_crystal
Indian theoretical physicist
S2CID 119331884. Auberson, G.; Jain, S. R.; Khare, A. (1999). Off-diagonal long-range order in one-dimensional many-body problem. Pseudo-Hermitian random
Sudhir_Ranjan_Jain
On the other hand, the linewidth along the off-diagonal shows a smaller value with respect to the diagonal one. In this case the spectral broadening contains
Two-dimensional electronic spectroscopy
Two-dimensional_electronic_spectroscopy
Large board variant of shogi
or diagonally forward, and one square sideways or backward. It gives for tai shogi: unlimited range diagonally forward, and two squares diagonally backward
Dai_dai_shogi
American physicist (1900–1976)
2010-01-10. Retrieved 2011-03-14. Flux Quantization without Off-Diagonal Long Range Order in a Thin Hollow Cylinder (with Y. Imry), Sol. State Comm. 7
John_C._Slater
Ways of movement of equines
where the two legs diagonally opposite from each other move forward together. In both the pace and the trot, two feet are always off the ground. The trot
Horse_gait
Analysis of manufacturing processes
not fall on the diagonal".[according to whom?] Evolving management styles and technology are diminishing some of the inherent trade-offs found on the matrix
Hayes-Wheelwright_matrix
Type of truss
In 1830, Stephen Harriman Long received a patent for an all-wood parallel-chord truss bridge. Long's bridge contained diagonal braces which were prestressed
Howe_truss
City in California, United States
and Los Coyotes Diagonal is the Los Alamitos Traffic Circle. The city of Long Beach has five major Class 1 bike paths (separate off-road bike paths)
Long_Beach,_California
first of thirteen warriors to win after scoring more kills at mid range and long range. The trident and net is the first weapon to be given the edge and
List of Deadliest Warrior episodes
List_of_Deadliest_Warrior_episodes
Analog videocassette recording format
movement of the tape, results in each head recording a track oriented at a diagonal with respect to the length of the tape, with the heads moving across the
VHS
25x25 grid variant of Japanese chess
an exception; it moves as the free boar in chu shogi, ranging sideways or along the diagonals. These promotions follow maka dai dai shogi. "chessvariants
Tai_shogi
Monotypic genus of plants
Welwitschia is the only living genus of the family Welwitschiaceae and order Welwitschiales, and is one of three extant genera of gnetophytes, alongside
Welwitschia
Technique for driving a multiplexed display
independently. The 6 unusable diagonal LEDs can be conveniently replaced by actual bidirectional shortcuts (so that there's no longer need to set up the interconnection
Charlieplexing
Electronic display device for displaying digits and some letters
off according to the graphic pattern to be produced. It is an extension of the more common seven-segment display, having an additional two diagonal or
Segment_display
Babylonian clay tablet of numbers in Pythagorean triples
(short side) and diagonal of a rectangle with length (long side) 1: subtracting ("tearing out") area 1 from the square on the diagonal leaves the area
Plimpton_322
Electronic device
produced a time base that was 7 feet (2.1 m) long, allowing very highly accurate measurements of range. This was used with coast artillery units, allowing
Radar_display
Machine learning technique
translation without regard to word order would show the highest scores along the (dominant) diagonal of the matrix. The off-diagonal dominance shows that the attention
Attention_(machine_learning)
Notation for moves in chess-like games
that an atom can move in any direction (four for purely orthogonal or diagonal moves, eight for other, oblique moves), and can both move to an empty square
Betza's_funny_notation
Large variant of shogi
and SSZ. However, in the SRZ it instead has ranging moves in the forward directions, orthogonal and diagonal. (fQ) The movement of the old rat is not described
Maka_dai_dai_shogi
or right, in the direction of one of the arms of a plus sign, +), or diagonally (in the direction of one of the arms of a multiplication sign, ×). Many
Tori_shogi
Matrix decomposition
, where D {\displaystyle D} is a diagonal matrix containing the eigenvalues of A {\displaystyle A} on the diagonal, and Q {\displaystyle Q} is an matrix
Eigendecomposition of a matrix
Eigendecomposition_of_a_matrix
one or equivalently the entries ai,i. The other diagonal is called anti-diagonal (or counter-diagonal). A number of matrix-related notions is about properties
List_of_named_matrices
Playing piece with non-standard chess rules
limited number of squares diagonally or orthogonally might also be considered step movers but are generally called limited ranging piece (see below). A leaper
Fairy_chess_piece
Concepts from linear algebra
wide range of applications, for example in stability analysis, vibration analysis, atomic orbitals, facial recognition, and matrix diagonalization. In
Eigenvalues_and_eigenvectors
Reciprocating internal combustion engine
block/aluminum head engine featured deep water jackets, an innovative diagonal head-to-block joint that allowed for oversized intake and exhaust valves
Mercedes-Benz_M186_engine
Slanting line punctuation mark (/)
◌̸ COMBINING LONG SOLIDUS OVERLAY (for strikethrough) U+2044 ⁄ FRACTION SLASH U+2215 ∕ DIVISION SLASH U+2571 ╱ BOX DRAWINGS LIGHT DIAGONAL UPPER RIGHT
Slash_(punctuation)
Notable football skills and tactics
long through pass over the heads of three German defenders to Keith Newton on the right flank. Mullery then ran forward as Newton produced a diagonal
Association_football_tactics
Statistical method
{\displaystyle \mathbf {z} _{b}} . The diagonal elements will clearly be 1 {\displaystyle 1} s and the off diagonal elements will have absolute values less
Factor_analysis
Species of fish
shanks and abdomen, and the fins are reddish. The juveniles have a wide, diagonal band of brown or black which starts on the upper jaw and ends at the front
Lutjanus_malabaricus
Algorithm for shuffling a finite sequence
most elements, ending up in their original position (the matrix's main diagonal) has lowest probability, and moving one slot backwards has highest probability
Fisher–Yates_shuffle
Type of trading strategy using options
profit off time decay, measured by the uppercase Greek letter theta (Θ), when the stock market has low volatility. The option positions used can be long and/or
Options_strategy
See simplification. long castling See castling long. long diagonal One of the two diagonals with eight squares (a1–h8 or h1–a8). long fianchetto A fianchetto
Glossary_of_chess
Species of fish
rays of its dorsal fin stretch in a long white filament. Its background color is white with two large black diagonal bands. Beyond the second black stripe
Schooling_bannerfish
Shape and size of a digital camera's image sensor
rectangular photo sensitive area about 16 mm on the diagonal, so a digital sensor with a 16 mm diagonal size is a 1" video tube equivalent. The name of a
Image_sensor_format
Initial moves in a game of shogi
the rook. Compared with opening the bishop diagonal for the first move, a rook pawn push limits the range of opening possibilities for the player and
Shogi_opening
Type of logical system
arithmetic, is usually a first-order logic together with a specified domain of discourse (over which the quantified variables range), finitely many functions
First-order_logic
Numerical methods for matrix eigenvalue calculation
eigenvector. Any normal matrix is similar to a diagonal matrix, since its Jordan normal form is diagonal. Eigenvectors of distinct eigenvalues of a normal
Eigenvalue_algorithm
Phylum of marine animals also known as lamp shells
weak, untoothed hinges and a more complex system of vertical and oblique (diagonal) muscles used to keep the two valves aligned. In many brachiopods, a stalk-like
Brachiopod
Matrix decomposition
m × n {\displaystyle m\times n} rectangular diagonal matrix with non-negative real numbers on the diagonal, V {\displaystyle \mathbf {V} } is an n
Singular_value_decomposition
Type of signal filter
magnitude Bode plot for a first-order filter looks like a horizontal line below the cutoff frequency, and a diagonal line above the cutoff frequency.
Low-pass_filter
forearm horizontal or diagonal. While the other lies low, protecting the body. This style is used for reducing head damage at close range, but can be used
Boxing_styles_and_technique
Compact crossover SUV
Terrain. The interior contains an updated 15-inch-diagonal LCD infotainment screen, an 11-inch-diagonal LCD-based driver information center, and new emergency
GMC_Terrain
or right, in the direction of one of the arms of a plus sign, +), or diagonally (in the direction of one of the arms of a multiplication sign, ×). The
Yari_shogi
Type of cross-country skiing technique
on the speed range for which the particular technique is suitable. The following table provides an overview of the movement forms. Diagonal skating is a
Skate_skiing
Tuning parameter (hyperparameter) in optimization
low a learning rate will either take too long to converge or get stuck in an undesirable local minimum. In order to achieve faster convergence, prevent
Learning_rate
Sudden change in shape of a structural component under load
slenderness ratio ranging from about 50 to 200, and its behavior is dominated by the strength limit of the material, while a long steel column may be
Buckling
Wide-angle photographic lens with strong barrel distortion
common APS-C sensors are 23.6–23.7 mm on the long dimension and 15.6 mm on the shorter side, for a diagonal dimension of 28.2–28.4 mm. Sigma 4.5 mm f/2
Fisheye_lens
Metal, colour, or fur used in heraldic design
shade being acceptable so long as it cannot be confused with another tincture. Purpure, in particular, has been depicted in a range of shades; many grants
Tincture_(heraldry)
Species of bird
their legs and feet dark gray to black. The great xenops is found in a diagonal band from Piauí and Ceará states southwest through Tocantins and Bahia
Great_xenops
Random process independent of past history
Markov models, since they induce long-range dependencies that violate the Markov hypothesis of limited memory. In order to overcome this limitation, a new
Markov_chain
Classification of a two-dimensional repetitive pattern
has two rotation centres of order four (90°), and reflections in four distinct directions (horizontal, vertical, and diagonals). It has additional glide
Wallpaper_group
Sport equipment
never quite return to a straight drop, falling more on a diagonal. Feather shuttles may come off the strings at speeds in excess of 565 km/h (351 mph) but
Shuttlecock
Battery electric compact crossover SUV
with two powertrain options: Standard Range and Long Range, both use a RWD (single motor) setup. The N Line Long Range variant was added on 20 February 2025
Hyundai_Ioniq_5
Warp-faced textile
weft passes under two or more warp threads. This twill weave produces a diagonal ribbing that distinguishes it from cotton duck. Denim, as it is recognised
Denim
Digital camera design standard
MFT measures 18 mm × 13.5 mm (22.5 mm diagonal), with an imaging area of 17.3 mm × 13.0 mm (21.63 mm diagonal), comparable to the frame size of 110 film
Micro_Four_Thirds_system
Television placement for immersive experience
For a "standard" lens image, viewing distance should be equal to the diagonal length of the screen. It has been demonstrated that viewing a display that
Optimum_HDTV_viewing_distance
Species of insectivorous African mammal
coat of yellowish fur, and a long, distinct mane down the midline of the neck and back. It also has one or two diagonal stripes down the fore and hindquarters
Aardwolf
Programming language
switch v := shp.(type) { case Square: return v.Diagonal() // Or, with type assertion, shp.(Square).Diagonal() case Circle: return v.Diameter() // Or, with
Go_(programming_language)
Computer simulations to discover and understand chemical properties
calculations into a short- and long range part. The short-range part calculates all interactions within a cut-off range, the long-range part is solved in reciprocal
Molecular_dynamics
Architectural term for an arched roof
intermediate ribs between the wall rib and the diagonal rib and between the diagonal and the transverse ribs; and in order to meet the thrust of these intermediate
Vault_(architecture)
Shogi variant
pieces can move any number of empty squares along a straight orthogonal or diagonal line, limited only by the edge of the board. If an opposing piece intervenes
Chu_shogi
Japanese strategy board game
example, moving a gold like a silver, or moving an unpromoted bishop off its legal diagonal) Taking back a move after its completion (matta) Time forfeiture
Shogi
Photolithographic Tool
energy with wavelengths much shorter than visible light. However, in order to delay as long as possible the vast expense and difficulty of adopting a whole
Stepper
Range of tractors and lorries made by Daimler AG
cabins were introduced to replace the predecessor models. The new very diagonal front portion gives the operator a good overview forward. The 408 features
Unimog
Removal of male sex organs
and testes are tied together with a string, and the elder then makes two diagonal cuts with a sharp surgical knife to completely excise the organs. The elder
Emasculation
Array of numbers
square matrix of order n. Any two square matrices of the same order can be added and multiplied. The entries aii form the main diagonal of a square matrix
Matrix_(mathematics)
Optimization problem in mathematics
classes of QCQP problems (precisely, QCQPs with zero diagonal elements in the data matrices), second-order cone programming (SOCP) and linear programming (LP)
Quadratically constrained quadratic program
Quadratically_constrained_quadratic_program
Mexican footballer (born 1988)
one. He has good ability in the air. He has a good pace and makes those diagonal runs, starting from the first defender and then going behind the second
Javier_Hernández
1916 major naval battle during World War I
columns, visibility across the diagonals was often better (and always shorter) than in a single long column, and the diagonals gave signal "redundancy", increasing
Battle_of_Jutland
of the lungs that has symptoms of coughing. It may instead infect a wide range of other organs in the body. Cancer cannot be treated by restricting food
List of common misconceptions about science, technology, and mathematics
List_of_common_misconceptions_about_science,_technology,_and_mathematics
2023 video game
working on called Strange Shadows was taking a long time, and wanting to make a game that would sell in order to finance living expenses and development.
The_Exit_8
Statement in mathematical combinatorics
14e^{-1}}\right)^{s+o(s)}=3.7992...^{s+o(s)}} For the off-diagonal Ramsey numbers R(3, t), it is known that they are of order t2/log t; this may be stated equivalently
Ramsey's_theorem
Filming technique
work are slow-motion shots of a dog shaking water off himself, with close ups of drops knocking a bee off a flower, as well as a time-lapse sequence of the
Time-lapse_photography
E-reader devices
for five months until late April 2008. The device featured a six-inch (diagonal) four-level grayscale E Ink display, with 250 MB of internal storage, which
Amazon_Kindle_devices
Series of American full-size automobiles by General Motors
interior with an all-new standard 17.7-inch-diagonal freeform infotainment screen paired with the 11-inch-diagonal driver information center and redesigned
Chevrolet_Suburban
Species of fish
on its body has a blue center and a bronze spot on the margin, creating diagonal orange-brown stripes running up an along the flanks and back. The stripes
Orthopristis_chrysoptera
Shogi strategy
diagonal by advancing their third file pawn. This move prevents Black from opening their bishop diagonal (2.P-76) as their left silver is no longer positioned
Ureshino_opening
Canadian mineralogist and crystallographer (born 1946)
Long-range order (LRO) describes the tendency for atoms to order at a specific location in a structure, averaged over the whole crystal. Short-Range Order
Frank_Hawthorne
Scharnhorst-class battleship
The original straight stem was replaced with a raised "Atlantic bow." A diagonal cap was fitted to the smoke stack to keep the main mast free of smoke.
German_battleship_Gneisenau
Large bird of prey
large and long winged with usually dark colouring. Beyond the nominate subspecies of Bonelli's eagle, which is found throughout its range in Eurasia
Bonelli's_eagle
Funnel-shaped waveguide radio device
can operate over a wide range of frequencies, a wide bandwidth. The usable bandwidth of horn antennas is typically of the order of 10:1, and can be up
Horn_antenna
Photodetector sensitive to infrared radiation
are in the p s {\displaystyle ps} range, the QCD cut-off frequency lies in the 100 G H z {\displaystyle GHz} range. When the electron reaches the bottom
Quantum_cascade_detector
Indian defense projects under DRDO
on order. The Pinaka Mk2 program with rockets of up to 60 km in range, has cleared trials and has been recommended for induction as well. A new long-range
Projects_of_DRDO
Tabular arrangement of the chemical elements
tend to show similar chemical characteristics. Vertical, horizontal and diagonal trends characterize the periodic table. Metallic character increases going
Periodic_table
Species of swift
long and weighing from 170 to 203 g (6.0 to 7.2 oz), with an average of 180 g (6.3 oz) in one study of 22 unsexed adult birds. The wingspan can range
Purple_needletail
Difference between estimated transaction costs and the amount actually paid
mention a flow trader needs to consider the effect of executing a large order on the market and to adjust the bid-ask spread accordingly. They calculate
Slippage_(finance)
Ball game
more players standing in a circle and trying to keep the sack off the ground for as long as possible. Footbag-like activities have existed for many years
Hacky_sack
Chess opening
placed if White castles long. The move 6.Be3 takes the a7–g1 diagonal from Black's Bf8 and may in some lines prepare the long castle. After the mandatory
Budapest_Gambit
Unicode denominator & numerator glyphs
or the Fraction Slash, they produce an almost typographically correct diagonal fraction, such as ³/₄for the ¾ glyph. Super and subscript markup does not
Unicode subscripts and superscripts
Unicode_subscripts_and_superscripts
King George V-class battleship of the Royal Navy
fragments from the shell's ballistic cap and the material it dislodged in its diagonal path through the compass platform. A 15-inch diving shell penetrated the
HMS_Prince_of_Wales_(53)
Species of venomous snake
display dark mottling towards the posterior, which may appear in the form of diagonal crossbands. Black mambas have greyish-white underbellies. The common name
Black_mamba
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