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Second-order control system
In systems and control theory, the double integrator is a canonical example of a second-order control system. It models the dynamics of a simple mass
Double_integrator
Generalization of definite integrals to functions of multiple variables
where the double integral of the absolute value of the function is finite, the order of integration is interchangeable, that is, integrating with respect
Multiple_integral
Mathematical optimization algorithm
{\displaystyle u=k(x,v):=-\gamma _{a}\nabla f(x)-\gamma _{b}v} for the double integrator system, x ˙ = v , v ˙ = u {\displaystyle {\dot {x}}=v,\quad {\dot
Conjugate_gradient_method
Mathematical technique
Macaulay's method (the double integration method) is a technique used in structural analysis to determine the deflection of Euler-Bernoulli beams. Use
Macaulay's_method
Integral of sin(x)/x from 0 to infinity
several ways: the Laplace transform, double integration, differentiating under the integral sign, contour integration, and the Dirichlet kernel. But since
Dirichlet_integral
Numerical integration method
numerical integrator to quickly achieve convergence. Like Gaussian quadrature, Tanh-Sinh quadrature is well suited for arbitrary-precision integration, where
Tanh-sinh_quadrature
Concept in mathematics
{x}}):=-\gamma _{a}\nabla _{x}f(x)-\gamma _{b}{\dot {x}}} for the double integrator system, x ¨ = u {\displaystyle {\ddot {x}}=u} The quantities γ a >
Nonlinear conjugate gradient method
Nonlinear_conjugate_gradient_method
Twenty-third letter of the Latin alphabet
is double-u, plural double-ues. The name "double-u" reflects stages in the letter's evolution when it was considered two of the same letter, a double U
W
Operation in mathematical calculus
any coefficient. Rule-based integration systems facilitate integration. Rubi, a computer algebra system rule-based integrator, pattern matches an extensive
Integral
Continuum mechanics
the beam and x {\displaystyle x} is the distance along the beam. Double integration of the above equation leads to computing the deflection of the beam
Bending_stiffness
Integral of the Gaussian function, equal to sqrt(π)
e^{-x^{2}}\,dx\right)^{2};} on the other hand, by shell integration (a case of double integration in polar coordinates), its integral is computed to be
Gaussian_integral
First electronic general-purpose digital computer
ENIAC (/ˈɛniæk/; Electronic Numerical Integrator and Computer) was the first programmable, electronic, general-purpose digital computer, completed in 1945
ENIAC
Numerical integration algorithm
important than the local error, and the Verlet integrator is therefore known as a second-order integrator. Systems of multiple particles with constraints
Verlet_integration
Filter that has a linear response
functions classified as unstable or "marginally stable" such as a double integrator. A. Zverev, Handbook of Filter Synthesis, John Wiley and Sons, 1967
Linear_filter
When a company owns its supply chain
ultimately limited by the established standards of the integrator. Yet, at the same time, the integrator still keeps the responsibility connected to the farmer
Vertical_integration
Physics experiment
In modern physics, the double-slit experiment demonstrates that light and matter can exhibit behavior associated with both classical particles and classical
Double-slit_experiment
Measure of a two-dimensional surface
methods of infinitesimal calculus and involves partial derivatives and double integration. A general definition of surface area was sought by Henri Lebesgue
Surface_area
Pendulum with another pendulum attached to its end
In physics and mathematics, in the area of dynamical systems, a double pendulum, also known as a chaotic pendulum, is a pendulum with another pendulum
Double_pendulum
Psychological theory regarding individuals on the autism spectrum
The double empathy problem is a psychological and sociological theory first coined in 2012 by Damian Milton, an autistic autism researcher. This theory
Double_empathy_problem
American video game developer
was happy with Microsoft's handling of Double Fine; he called the acquisition a "limited integration" with Double Fine retaining all control on the creative
Double_Fine
Canadian businessman (born 1962)
and cybersecurity expert. Herjavec founded BRAK Systems, a Canadian integrator of Internet security software, and sold it to AT&T Canada (now Allstream
Robert_Herjavec
Software library for numerical integration
QAGI only on the infinite part. QNG simple non-adaptive integrator QAG simple adaptive integrator QAGP similar to QAGS but allows user to specify locations
QUADPACK
Gateway application providing connectivity between Microsoft Windows and IBM mainframe
a new COM based integration technology called COM Transaction Integrator (COMTI, code-named Cedar), which enables easier integration using GUI and Web
Microsoft Host Integration Server
Microsoft_Host_Integration_Server
Type of optical device
systems measure accelerations and integrate those over time to determine a velocity and, optionally, double-integrate to produce a location relative to
Star_tracker
American multinational technology company
During the first five years of operations, revenue grew exponentially, doubling about every four months. Between September 1977 and September 1980, yearly
Apple_Inc.
to be integrated once, peak ground displacement (PGD), for which double integration is required. Often a response spectrum is computed to show how the
Accelerograph
American professional wrestling and entertainment company
testing; however, part-time competitors are exempt from testing. After the double-murder and suicide committed by one of its performers, Chris Benoit, with
WWE
Bus with two levels or decks
A double-decker bus is a bus that has two storeys or decks. Double-deckers are used primarily for commuter public transport, but there are coach variants
Double-decker_bus
Structural analysis method
Work Hibbeler, R.C., Mechanics Materials, sixth edition; Pearson Prentice Hall, 2005. ISBN 0-13-191345-X. Beam Deflection by Double Integration Method
Direct_integration_of_a_beam
Method of evaluating certain integrals along paths in the complex plane
complex analysis, contour integration is a method of evaluating certain integrals along paths in the complex plane. Contour integration is used to study complex-valued
Contour_integration
Method for converting signals between digital and analog
{1}{\text{s}}}} in Laplace notation. The integrator is assumed to be an ideal integrator to keep the math simple, but a real integrator (or similar filter) may have
Delta-sigma_modulation
roots. Obtained by solving the second and third versions of the cosine double-angle formula. In general terms of powers of sin θ {\displaystyle \sin
List of trigonometric identities
List_of_trigonometric_identities
Antenna consisting of two rod-shaped conductors
matrix. Determination of each matrix element requires at least one double integration involving the weighting functions, which may become computationally
Dipole_antenna
Sound transmission method
root of the base band signal envelope E and then integrating twice to invert the effect of the double partial-time derivative. The analogue electronic
Sound_from_ultrasound
Correlated double sampling (CDS) is a method to measure electrical values such as voltages or currents that allows removing an undesired offset. It is
Correlated_double_sampling
Country in Southeast Europe
national colours are displayed on the flag of Albania that is adorned with a double-headed eagle as the foremost recognised national symbol of Albania. With
Albania
Software test automation
test double is software used in software test automation that satisfies a dependency so that the test need not depend on production code. A test double provides
Test_double
Electronic circuit formed on a small, flat piece of semiconductor material
in an integrated circuit to double every two years, a trend known as Moore's law. Moore originally stated it would double every year, but he went on to
Integrated_circuit
Technique in integral evaluation
\end{aligned}}} The resulting integral can be computed using integration by parts or a double angle formula, 2 cos 2 u = 1 + cos ( 2 u ) , {\textstyle
Integration_by_substitution
Email service provided by Google
significantly higher amount than competitors offered at the time. The limit was doubled to two gigabytes of storage on April 1, 2005, the first anniversary of
Gmail
three batters and none safely reaches a base. "Three up, three down." A double play in which the pitcher (1) fields a batted ball and throws home to the
Glossary_of_baseball_terms
Mathematical function having a characteristic S-shaped curve or sigmoid curve
functions M12: Integration of lambda (bell-shaped) function M13: Integration of the sum of lambda (bell-shaped) functions M14: Integration of the product
Sigmoid_function
American singer (1958–2009)
Anniversary With Double-CD Set". Billboard. Archived from the original on December 22, 2022. Retrieved May 16, 2022. "Thriller 40 – A Double CD Set Of Michael
Michael_Jackson
Swedish audio streaming service
"Spotify Posts First Full-Year Profit for 2024, CEO Says Streamer Will 'Double Down' on Music in 2025". Variety. Retrieved 6 February 2025. "Spotify Technology
Spotify
British television series
Croatia, was used as the filming location for both series. It is produced by Double Act Productions for Channel 4. On 13 June 2025, Channel 4 announced a second
Virgin_Island_(TV_series)
Study of senses and nervous system
Multisensory integration, also known as multimodal integration, is the study of how information from the different sensory modalities (such as sight,
Multisensory_integration
Method for calculating the volume of a solid of revolution
Shell integration (the shell method in integral calculus) is a method for calculating the volume of a solid of revolution, when integrating along an axis
Shell_integration
Conditions for switching order of integration in calculus
theorem gives the conditions under which a double integral can be computed as an iterated integral, i.e. by integrating in one variable at a time. Intuitively
Fubini's_theorem
Numerical technique
In mathematics, Monte Carlo integration is a technique for numerical integration using random numbers. It is a particular Monte Carlo method that numerically
Monte_Carlo_integration
Saturn V, with a theoretical payload capacity to low Earth orbit more than double the Delta IV Heavy. Both side boosters landed nearly simultaneously after
List of Falcon 9 and Falcon Heavy launches
List_of_Falcon_9_and_Falcon_Heavy_launches
Association football club in England
Championships coming after the war. In 1970–71, it won its first League and FA Cup double. Between 1989 and 2005, the club won five league titles and five FA Cups
Arsenal_F.C.
Mathematical symbol used to denote integrals and antiderivatives
Meaning Unicode LaTeX Double integral ∬ U+222C ∬ {\displaystyle \iint } \iint Triple integral ∭ U+222D ∭ {\displaystyle \iiint } \iiint Quadruple integral
Integral_symbol
Country in Northeast Africa and Southwest Asia
28 February 2025. Staff Reporter (2 October 2025). "Egyptian Remittances Double in Ten Years and Surge 66% in One Year". WeeTracker. Wee Media. Retrieved
Egypt
the integrator's output exceeds the input voltage, at which point a 0 is recorded and the integrator is told to decrease. In this way, the integrator attempts
Dbx Model 700 Digital Audio Processor
Dbx_Model_700_Digital_Audio_Processor
1950s supersonic intercontinental cruise missile
system (INS) invented an entirely new design known as the Kinetic Double-Integrating Accelerometer (KDIA) that measured not only velocity as in the V-2's
SM-64_Navaho
Classical method used to design feedback control systems
bandwidth around 200 Hz. Acceleration to velocity is an integrator and velocity to position is an integrator. This would have a total phase shift of 180 to 270
Minor_loop_feedback
Chinese solar photovoltaic company
Bloomberg News. Kennedy, Ryan (8 August 2025). "Tesla remains top global battery energy storage system integrator". Energy Storage. Official website
Sungrow
American business executive (born 1973)
formally joined Google in 2007, playing a key role in the integration process with DoubleClick. While at Google, Mohan managed the company's 2010 US$85 million
Neal_Mohan
Armored personnel carrier
8x8) used by the United States Army and Royal Thai Army. Models with the double V-hull upgrade are known as the M1256 ICVV. The infantry carrier vehicle
Variants_of_the_Stryker
Mathematical theorem
identifies the integration formulas for integrand's with and without consecutive integer exponents and for single and double integrals. The integration formula
Ramanujan's_master_theorem
British rock band
and was released in four different formats: single disc, double disc (with commentary), double disc with feature book, and a vinyl record. Before its release
Queen_(band)
Board and dice game for two players
to the following equities: No double 0.667 Double, take 0.684 Double, pass 1.000 The on-roll player should offer a double since their equity increases
Backgammon
Type of variable active electronic filter
Tow-Thomas filter. Other names are the Ring-of-Three Filter and the two-integrator loop. Sometimes it is just called the biquad filter. The filter can be
State_variable_filter
World Wide Web content existing on darknets
also operate dedicated data leak sites on the Tor network as part of a double extortion model pioneered by the Maze ransomware group in November 2019
Dark_web
Non-pathological explanation of mental function variations
arises from societal barriers and person-environment mismatch (e.g. the double empathy problem theory by Damian Milton), rather than attributing disability
Neurodiversity
Canadian reality television show
Occupation Double (sometimes referenced as OD) is a Canadian French language reality show which first aired in 2003. It is broadcast on Noovo, following
Occupation_Double
Country in Eurasia from 1922 to 1991
retirement of Khrushchev, the party leader was prohibited from this kind of double membership, but the later General Secretaries for at least some part of
Soviet_Union
Dog breed
triangular, erect ears with rounded tips. The breed is known for a very dense double coat that is either smooth or rough. The fur is particularly thick in the
Chow_Chow
Sensual art genre involving tentacles or pseudopods
'tentacle attack') is a type of erotica most commonly found in Japan that integrates traditional pornography with elements of bestiality, fantasy, horror,
Tentacle_erotica
American singer and actor (1935–1977)
black culture. In this regard, Little Richard said of Presley, "He was an integrator. Elvis was a blessing. They wouldn't let black music through. He opened
Elvis_Presley
Intelligence of machines
transistor density in integrated circuits has been observed to roughly double every 18 months—a trend known as Moore's law, named after the Intel co-founder
Artificial_intelligence
Intergovernmental military alliance
its Article 6 to operations north of the Tropic of Cancer. It provides a "double framework" for the EU countries that are also linked with the PfP programme
NATO
Leader of China since 2012
developed close mutual ties. During this period, Xi and Li drafted the Double Eight Strategy, which listed eight comparative advantages of Zhejiang and
Xi_Jinping
American singing competition
up through the Top 5. In the eighth to tenth and fourteenth seasons, a double elimination then took place in the week following the activation of the
American_Idol
American multinational technology conglomerate
Administration. Amazon Prime has been criticized for its vehicles systemically double parking, blocking bike lanes, and otherwise violating traffic laws while
Amazon_(company)
President of the United States from 1977 to 1981
from 5.8% in 1976 to 7.7% in 1978. The sudden doubling of crude oil prices forced inflation to double-digit levels, averaging 11.3% in 1979 and 13.5%
Jimmy_Carter
American artist (1960–1988)
or subway ads, and he stayed alert to their subversive properties, their double and hidden meaning." A second recurrent reference to Basquiat's aesthetics
Jean-Michel_Basquiat
Country primarily in Western Europe
production capacity from renewable energies rose consistently and nearly doubled. Hydropower is by far the leading source, accounting for over half of renewable
France
Indian bread pudding
Double ka meetha is a traditional Hyderabadi dessert arising from Deccani Mughlai cuisine. The name "double ka meetha" combines the colloquial term double
Double_ka_meetha
Proposition in probability theory
probability density function is well defined and the expectations are integrable, we write for the general case E [ X ] = ∫ x Pr [ X = x ] d x E
Law_of_total_expectation
Video game distribution platform
programming interface (API) released in 2008, is used by developers to integrate Steam's functions, including digital rights management (DRM), into their
Steam_(service)
American musician, songwriter and actor (1958–2016)
Score. After disbanding the Revolution, Prince released his first solo double LP in 1987, Sign o' the Times, widely considered his greatest work and one
Prince_(musician)
the region under study. The seismic hazard calculation involves a double integration (integral) over the region, combined with the expected number (earthquake
Maximum_magnitude
Supply chain market situation combining monopoly with monopsony
or at least limit double marginalization. These include, among others, the following. Vertical integration: In the case of double marginalization, both
Double_marginalization
Indian film producer
editing and where he also had a small and uncredited acting role as a body double for Amitabh Bachchan. Despite this early foray into the film industry, Kapoor
Boney_Kapoor
Spanish football manager and player (born 1981)
Bayern Munich in 2014 and won three Bundesliga titles, including a domestic double in his second season, and retired in 2017. He made his international debut
Xabi_Alonso
Swedish footballer (born 1981)
Roma, taking his tally up to five league goals. He then scored another double in the Matchday 12 win against Palermo to help Inter take the lead in the
Zlatan_Ibrahimović
Superimposition of two or more exposures to create a single image
superimposition of two or more exposures to create a single image, and double exposure has a corresponding meaning in respect of two images. The exposure
Multiple_exposure
Laws enforcing racial segregation in the U.S.
Baseball; he permanently broke the color bar. Baseball teams continued to integrate in the following years, leading to the full participation of black baseball
Jim_Crow_laws
Country in Southeast Asia and Oceania
still requires sustained national and local support. Indonesia faces a double burden of disease: non-communicable diseases account for a growing share
Indonesia
Private school (non-sectarian) school in Belzoni, Mississippi, United States
(September 18, 1969). "Private Schools Blossom in South As Answer to Doubled Integration". Austin American. Washington Post. Retrieved May 8, 2019. "Belzoni
Humphreys_Academy
American singer, actor, producer (born 1978)
artist in 10 years. The album received RIAA Double Platinum certification on November 17, 2003 (a Double Platinum plaque was presented to Aiken by Clive
Clay_Aiken
Legislative capital of South Africa
January 2010 and November 2022, Cape Town property prices increased at around double the rate of those in Johannesburg. The city has been ranked as the world's
Cape_Town
Israeli anti-tank missile
equipment. It was planned that Bharat Dynamics Limited would be the systems integrator for the missiles with major work share for manufacture to be handled by
Spike_(missile)
Indian independence activist (1875–1950)
political integration. In India and elsewhere, he was often called Sardar meaning "chief". He acted as the Home Minister during the political integration of
Vallabhbhai_Patel
Search engine from Google
walls that traditionally separated our various search properties and integrate the vast amounts of information available into one simple set of search
Google_Search
Country in Central Europe
amendments passed by the Federal Assembly. Constitutional amendments require a double majority, i.e. both a majority of the national popular vote and a majority
Switzerland
Proposed line of Bengaluru's Namma Metro
2025. ISSN 0971-751X. Retrieved 3 February 2025. "Bengaluru Metro Phase 3: Double-decker to have 5 ramps, loops in 9 areas for local traffic". Deccan Herald
Orange_Line_(Namma_Metro)
Country in Northwestern Europe and the Caribbean
decoupling from economic growth. The share of energy from renewable sources doubled from 2008 to 2019, with especially strong growth in offshore wind and rooftop
Netherlands
U.S. intelligence and covert action agency
that delved into the threats of the Soviet Union. Material supplied by double agent, "Hero", Oleg Penkovsky was used by the agency in the early 1970's
Central_Intelligence_Agency
DOUBLE INTEGRATOR
DOUBLE INTEGRATOR
Surname or Lastname
French
French : from a reduced form of the Germanic personal name Hildo (see Hildebrand, Houde).French : habitational name from any of several places in Normandy called La Houle or Les Houles, named in Old French with the singular or plural of houle ‘cave’.English : variant of Hole.
Girl/Female
Scottish
From the Gaelic 'dubhglas' meaning dark water, dark stream, or from the dark river.
Surname or Lastname
English
English : of uncertain origin; perhaps derived from the vocabulary word soul as a term of affection.French (Soulé) : variant of Soulier 1.George Soule (1600–80), one of the passengers on the Mayflower in 1620, was one of the founders of Duxbury, MA, where he became comparatively wealthy. He left eight children.
Boy/Male
British, Christian, English
Dark Water; In the Seventeenth Century; Diminutive of Douglas
Surname or Lastname
English
English : nickname for a sickly person, from French debile ‘frail’, ‘weak’ (from Latin debilis).Americanized spelling of German Diebel.
Girl/Female
Latin
Mistress of the home.
Surname or Lastname
English (of Norman origin)
English (of Norman origin) : nickname from Old French doubel ‘twin’ (literally ‘double’, from Late Latin duplus, classical Latin duplex, from du(o) ‘two’ + plek, a root meaning ‘fold’).
Male
English
Anglicized form of Irish Gaelic Dubhghall, DOYLE means "black stranger."Â
Surname or Lastname
English
English : possibly a variant of Goble or Gobel.Perhaps an Americanized spelling of French Gobeil.
Surname or Lastname
English
English : habitational name from Wombwell in South Yorkshire, named with the Old English byname Wamba meaning ‘belly’ (or this word used in a transferred topographical sense) + Old English well(a) ‘spring’, ‘stream’.
Surname or Lastname
English
English : variant of Coble.Americanized spelling of German Kobel.
Boy/Male
Hindu
Born during the rainy season, Money
Girl/Female
Christian, Hindu, Indian, Kannada
Money
Surname or Lastname
English
English : variant spelling of Dowdell.Possibly an altered spelling of German Daudel, Dautel, variants of Dietz.
Male
English
English name derived from the vocabulary word, from Latin nobilis, NOBLE means "noble."
Surname or Lastname
English
English : from the medieval personal name Dobbe, one of several pet forms of Robert in which the initial letter was altered. Compare Hobbs.
Surname or Lastname
English
English : variant of Dibble.Altered spelling of German Deibel or Deubel.
Boy/Male
Hindu, Indian
Money; Russian Currency
Surname or Lastname
English (of Norman origin)
English (of Norman origin) : variant of Double.In some cases, probably an altered spelling of South German Dobel or Döbel, a topographic name for someone who lived in a gorge or deep valley, Middle High German southern dialect tobel.
Surname or Lastname
English
English : from a variant of the medieval personal name Tebald, Tibalt (see Theobald).
DOUBLE INTEGRATOR
DOUBLE INTEGRATOR
Boy/Male
Indian, Sanskrit
The Abode of the Goddess Shri
Female
Welsh
Welsh name for Irish BrÃghid, FFRAID means "exalted one."
Girl/Female
Persian American Greek Latin Russian
Woman.
Boy/Male
American, British, English
From the Farm Near the Cliff
Boy/Male
Muslim
Narrator, Speaker
Girl/Female
Australian, French, Hebrew
Darling; Beloved; Cherry; Similar to Cherie Dear One
Male
Babylonian
, Adar is prince, or, Adar is fire-king.
Boy/Male
Hindu, Indian, Marathi
Helpful
Male
English
Irish Anglicized form of Gaelic Tadhg, TEAGUE means "poet."
Surname or Lastname
English
English : from Old French carrel, ‘pillow’, ‘bolster’, hence a metonymic occupational name for a maker of these.In some cases perhaps an altered spelling of Irish Carroll. In other cases perhaps an altered spelling of French Carrel.
DOUBLE INTEGRATOR
DOUBLE INTEGRATOR
DOUBLE INTEGRATOR
DOUBLE INTEGRATOR
DOUBLE INTEGRATOR
n.
One who, or that which, doubles.
a.
To increase by adding an equal number, quantity, length, value, or the like; multiply by two; to double a sum of money; to double a number, or length.
n.
Double-quick time, step, or march.
v. t.
To double the natural darkness of (a place).
n.
The act of one that doubles; a making double; reduplication; also, that which is doubled.
n.
That which is doubled over or together; a doubling; a plait; a fold.
adv.
In twice the quantity; to twice the degree; as, doubly wise or good; to be doubly sensible of an obligation.
a.
Double; doubled; reduplicative; repeated.
a.
To be the double of; to exceed by twofold; to contain or be worth twice as much as.
adv.
In a double degree; doubly.
imp. & p. p.
of Double
n.
Double beer; strong beer.
n.
The state of being double or doubled.
n.
A game between two pairs of players; as, a first prize for doubles.
adv.
Twice; doubly.
n.
Among compositors, a doublet (see Doublet, 2.); among pressmen, a sheet that is twice pulled, and blurred.
v. i.
To set up a word or words a second time by mistake; to make a doublet.
v. t.
To load with a double charge, as of gunpowder.