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In mathematics, a delta operator is a shift-equivariant linear operator Q : K [ x ] ⟶ K [ x ] {\displaystyle Q\colon \mathbb {K} [x]\longrightarrow \mathbb
Delta_operator
US Army tier one special operations force
president of the United States and the secretary of defense. Most Delta Force operators and combat support members are selected from the Army Special Operations
Delta_Force
Differential operator in mathematics
\nabla ^{2}} (where ∇ {\displaystyle \nabla } is the nabla operator), or Δ {\displaystyle \Delta } . In a Cartesian coordinate system, the Laplacian is
Laplace_operator
US Army special operations force missions
driven by Delta operators disguised as locals with more Delta operators concealed in the back. Hiding in plain sight, the Delta operators drove through
List of operations conducted by Delta Force
List_of_operations_conducted_by_Delta_Force
US Army special operations force members
of Delta Force members includes both current and former notable members of the United States Army's 1st Special Forces Operational Detachment-Delta, a
List_of_Delta_Force_members
Military operation during the United States invasion of Panama
anti-Noriega radio transmissions in Panama. The raid, conducted by 23 Delta Force operators and supported by the Night Stalkers, was delayed until the United
Operation_Acid_Gambit
Generalized function whose value is zero everywhere except at zero
In mathematical analysis, the Dirac delta function (or δ {\displaystyle {\boldsymbol {\delta }}} distribution), also known as the unit impulse, is a generalized
Dirac_delta_function
Topics referred to by the same term
Look up DELTA, Delta, delta, deltas, Δ, or δ in Wiktionary, the free dictionary. Delta commonly refers to: Delta (letter) (Δ or δ), the fourth letter of
Delta
Typically linear operator defined in terms of differentiation of functions
In mathematics, a differential operator is an operator defined as a function of the differentiation operator (which is an operation that accepts a function
Differential_operator
Operator generalizing the Laplacian in differential geometry
with δik the Kronecker delta. Combining the definitions of the gradient and divergence, the formula for the Laplace–Beltrami operator applied to a scalar
Laplace–Beltrami_operator
Fourth letter in the Greek alphabet
difference operator); for example, in y 2 − y 1 x 2 − x 1 = Δ y Δ x {\displaystyle {\frac {y_{2}-y_{1}}{x_{2}-x_{1}}}={\frac {\Delta y}{\Delta x}}} , the
Delta_(letter)
Discrete analog of a derivative
differentiation. The difference operator, commonly denoted Δ {\displaystyle \Delta } (uppercase Delta), is the operator that maps a function f to the function
Finite_difference
Type of polynomial sequence
most obvious examples of delta operators are difference operators and differentiation. It can be shown that every delta operator can be written as a power
Binomial_type
Largely American term for secretive special forces
be executed and buried in freshly dug graves. The operation left one Delta operator dead, MSG Joshua Wheeler, the first American to be killed by ISIS insurgents
Special_mission_unit
Special operations unit
rotating battalion, 75th Ranger Regiment and a small element of Delta Force operators – Tikrit TF West/Blue rotating squadron, DEVGRU, supported by units
Joint Special Operations Command Task Force in the Iraq War
Joint_Special_Operations_Command_Task_Force_in_the_Iraq_War
US military unit designation (1946–2012)
Saudi Arabia; the commander of the Delta Force squadron Lieutenant colonel Pete Blaber wanted to deploy his operators out into western Iraq and conduct
Task_Force_20
Operator in quantum mechanics
\delta =(\delta _{x})_{x\in \mathbb {R} },} is called the (unitary) position basis, just because it is a (unitary) eigenbasis of the position operator
Position_operator
Second-order differential operator
d'Alembert operator (denoted by a box: ◻ {\displaystyle \Box } ), also called the d'Alembertian, wave operator, box operator or sometimes quabla operator (cf
D'Alembert_operator
2002 memoir by Eric L. Haney
experiences as a founding special forces operator in the 1st Special Forces Operational Detachment–Delta (also known as Delta Force) the U.S. Army's counterterrorist
Inside_Delta_Force
Exterior algebraic map taking tensors from p forms to n-p forms
Laplace–deRham operator Δ = d δ + δ d {\displaystyle \Delta =d\delta +\delta d} where in three dimensions, δ = ( − 1 ) k ⋆ d ⋆ {\displaystyle \delta =(-1)^{k}{\star
Hodge_star_operator
Algebraic expansion of powers of a binomial
its basis operator is a Delta operator. Writing E a {\displaystyle E^{a}} for the shift by a {\displaystyle a} operator, the Delta operators corresponding
Binomial_theorem
Function acting on the space of physical states in physics
An operator is a function over a space of physical states onto another space of states. The simplest example of the utility of operators is the study
Operator_(physics)
Type of polynomial sequence
sequence if the linear operator Q just defined is shift-equivariant; such a Q is then a delta operator. Here, we define a linear operator Q on polynomials to
Sheffer_sequence
Colonel of the US Army (born 1960)
one Malaysian soldier were killed in the extraction convoy. One more Delta operator was killed several days later when a mortar round struck the compound
Michael_D._Steele
United States Army Medal of Honor recipient (1960–1993)
join the 1st Special Forces Operational Detachment-Delta (1SFOD-D), or Delta Force. As a Delta operator, Gordon eventually advanced to Team Sergeant. Before
Gary_Gordon
First-order differential linear operator on spinor bundle, whose square is the Laplacian
differential operator acting on a vector bundle V {\displaystyle V} over a Riemannian manifold M {\displaystyle M} . If D 2 = Δ , {\displaystyle D^{2}=\Delta ,\
Dirac_operator
Operators useful in quantum mechanics
Creation operators and annihilation operators are mathematical operators that have widespread applications in quantum mechanics, notably in the study
Creation and annihilation operators
Creation_and_annihilation_operators
Dutch telecoms company
DELTA is a cable operator in the Netherlands, providing digital cable television, Internet, and telephone service to both residential and commercial customers
Delta_(company)
Partial differential operator
hypoelliptic). In addition, the operator for the heat equation ( P ( u ) = u t − k Δ u {\displaystyle P(u)=u_{t}-k\,\Delta u\,} ) P = ∂ t − k Δ x {\displaystyle
Hypoelliptic_operator
Operator for offsetting time series elements
first difference operator : Δ {\displaystyle \Delta } Δ X t = X t − X t − 1 Δ X t = ( 1 − L ) X t . {\displaystyle {\begin{aligned}\Delta X_{t}&=X_{t}-X_{t-1}\\\Delta
Lag_operator
Mathematical operator
function theorem) Difference operator Delta operator Elliptic operator Fractional calculus Invariant differential operator Differential calculus over commutative
Theta_operator
in service with 21 commercial operators amongst other undisclosed operators. The five largest A220 operators are Delta Air Lines (93), JetBlue (66), Breeze
List_of_Airbus_A220_operators
Topics referred to by the same term
functions Delta function potential, in quantum mechanics, a potential well described by the Dirac delta function Delta-functor Delta operator Hooley's Delta function
Delta function (disambiguation)
Delta_function_(disambiguation)
Military conflict during the Somali Civil War
Army/Marines fighting since the Vietnam War. Two days after, a 19th soldier, Delta operator SFC Matt Rierson, was killed in a mortar attack. That same day, a team
Battle_of_Mogadishu_(1993)
2025 video game
Delta Force, formerly Delta Force: Hawk Ops, is a free-to-play first-person tactical shooter video game developed by Team Jade and published by TiMi Studio
Delta_Force_(2025_video_game)
Number specifying how a quantum operator changes under dilations
each operator O {\displaystyle O} acquires under a dilation x → λ x {\displaystyle x\to \lambda x} a factor λ − Δ {\displaystyle \lambda ^{-\Delta }}
Scaling_dimension
Fourth-order PDE in continuum mechanics
\Delta ^{2}\varphi =0} where ∇ 4 {\displaystyle \nabla ^{4}} , which is the fourth power of the del operator and the square of the Laplacian operator ∇
Biharmonic_equation
1998 video game
a series, and a sequel, Delta Force 2, was released the following year. The player assumes the role of a Delta Force operator who takes part in military
Delta_Force_(video_game)
Elliptic differential operators in geometry mathematics
the Laplace–Beltrami operator. It is defined as the trace of the second covariant derivative: Δ T = tr ∇ 2 T , {\displaystyle \Delta T={\text{tr}}\;\nabla
Laplace operators in differential geometry
Laplace_operators_in_differential_geometry
Mathematical concept
In mathematics, the Gauss–Kuzmin–Wirsing operator is the transfer operator of the Gauss map that takes a positive number to the fractional part of its
Gauss–Kuzmin–Wirsing_operator
Method of solution to differential equations
differential operator, then the Green's function G {\displaystyle G} is the solution of the equation L G = δ , {\displaystyle LG=\delta ,} where δ {\displaystyle
Green's_function
Retired United States Army soldier (born 1952)
he and other Delta operators were told to "take a vacation" in order to avoid media scrutiny. In 1981, Haney and two Delta Force operators were deployed
Eric_L._Haney
Aviation license
An air operator's certificate (AOC) is the approval granted by a civil aviation authority (CAA) to an aircraft operator to allow it to use aircraft for
Air_operator's_certificate
commercial operators of the Airbus A350. There were 632 A350 aircraft in service with 44 operators as of March 20, 2025[update]. The top 10 largest operators are
List_of_Airbus_A350_operators
2016 military science fiction action film
American military airbase in Chișinău, to investigate the death of Delta Force operator Chris Davis, who is sent there as part of General James Orland's
Spectral
Vector differential operator
Del, or nabla, is an operator used in mathematics (particularly in vector calculus) as a vector differential operator, usually represented by ∇ (the nabla
Del
2001 battle between the United States-led coalition and al-Qaeda in Afghanistan
presented by Sean Naylor involves outside assistance. He writes that a Delta operator had observed multiple Mi-17 helicopters, which are used by the Pakistani
Battle_of_Tora_Bora
Nonlocal mathematical operator
( − Δ ) s {\displaystyle (-\Delta )^{s}} but the negative of it − ( − Δ ) s {\displaystyle -(-\Delta )^{s}} . The operator P t : X → X {\displaystyle P_{t}:{\mathcal
Fractional_Laplacian
Matrices important in quantum mechanics and the study of spin
}\right)+4\left(\delta _{\alpha \gamma }\delta _{0\beta }\delta _{0\mu }+\delta _{\beta \mu }\delta _{0\alpha }\delta _{0\gamma }\right)-8\delta _{0\alpha }\delta _{0\beta
Pauli_matrices
Linear operator equal to its own adjoint
the direct integral. The Laplacian on Rn is the operator Δ = ∑ i = 1 n ∂ x i 2 . {\displaystyle \Delta =\sum _{i=1}^{n}\partial _{x_{i}}^{2}.} As remarked
Self-adjoint_operator
1993 United States-led military operation conducted in Mogadishu, Somalia
battle's end, a Somali mortar strike on their compound killed one Delta Force operator and injured another 12–13 members of TF Ranger. Somali casualties
Operation_Gothic_Serpent
Norwegian Police Tactical Unit
personnel trapped in a building. ST6 was commanded by a Norwegian operator from Delta during this mission and during the period January–July 2004. Beredskapstroppen
Delta_(Norwegian_police_unit)
The following is a list of current and former operators of BAe 146 and Avro RJ operators. Pionair Australia Bahrain Defence Force Bahrain Royal Flight
List_of_BAe_146_operators
Operator in quantum mechanics
quantum mechanics, the momentum operator is the operator associated with the linear momentum. The momentum operator is, in the position representation
Momentum_operator
Delta Air Lines Technical Operations facility in Atlanta, Georgia, United States
maintaining the Delta Air Lines fleet, Delta TechOps also provides MRO solutions and support to more than 150 third-party operators around the world
Delta_TechOps
2016 film by Michael Bay
Doherty, a GRS officer in Tripoli, who forms a team including two Delta operators that fly to Benghazi after several delays. Meanwhile, the GRS team
13 Hours: The Secret Soldiers of Benghazi
13_Hours:_The_Secret_Soldiers_of_Benghazi
Mathematical operator in quantum optics
{a}}}e^{{\frac {s}{2}}|\alpha |^{2}}} The displacement operator is the fourier transform of the symmetric delta function T ^ 0 ( α ) ≡ π δ 0 ( 2 ) ( a ^ − α ,
Displacement_operator
Relation satisfied by conjugate variables in quantum mechanics
[{\hat {x}}_{i},{\hat {p}}_{j}]=i\hbar \delta _{ij},} where δ i j {\displaystyle \delta _{ij}} is the Kronecker delta. This relation is attributed to Werner
Canonical commutation relation
Canonical_commutation_relation
Quantum operator for the sum of energies of a system
In quantum mechanics, the Hamiltonian of a system is an operator corresponding to the total energy of that system, including both kinetic energy and potential
Hamiltonian (quantum mechanics)
Hamiltonian_(quantum_mechanics)
then the composition of the divergence and gradient operators: Δ = d i v ∘ ∇ {\displaystyle \Delta =\mathrm {div} \circ \nabla } , acting on scalar functions
Ornstein–Uhlenbeck_operator
Financial market data analysis method
is an event-based operator to dissect a data series into a sequence of alternating trends of defined size δ {\displaystyle \delta } . The directional-change
Directional-change intrinsic time
Directional-change_intrinsic_time
Class of Russian nuclear powered ballistic submarines
667BDR Kalmar, Project 667BDRM Delfin, (NATO reporting names Delta I, Delta II, Delta III, Delta IV respectively) are a family of nuclear-powered ballistic
Delta-class_submarine
{\displaystyle \delta _{k+\ell }(fg)=(\delta _{k}f)g+f(\delta _{\ell }g).} Using induction, it is seen that the iterated Maass–Shimura operator satisfies the
Maass–Shimura_operator
Theorem for reducing high-order derivatives
{\displaystyle \delta _{ij}} denotes the Kronecker delta and 1 ^ {\displaystyle {\hat {\mathbf {1} }}} denotes the identity operator. We then have a ^
Wick's_theorem
1986 film by Menahem Golan
The Delta Force is a 1986 American action film starring Chuck Norris and Lee Marvin (in his final film appearance) as leaders of an elite group of Special
The_Delta_Force
Video game series
Ryan (August 18, 2023). "Delta Force Return Teased". Retrieved August 21, 2023. "Delta Force: Hawk Ops - Next-Gen Operator-based Tactical Shooter". www
Delta_Force_(series)
U.S. Army helicopter unit
the Iraqis, which allowed the Delta operators to move their two casualties to an emergency HLZ. One Delta Force operator succumbed to his wounds. On the
160th Special Operations Aviation Regiment (Airborne)
160th_Special_Operations_Aviation_Regiment_(Airborne)
Term used for U.S. Army personnel which have served in "Ranger" units
member of Delta Force and the first Medal of Honor recipient against the battle with ISIL. Thomas is also the first living Delta Force operator to be awarded
United_States_Army_Rangers
Analog of the continuous Laplace operator
In mathematics, the discrete Laplace operator is an analog of the continuous Laplace operator, defined so that it has meaning on a graph or a discrete
Discrete_Laplace_operator
List of aircraft operated by Delta Air Lines
The Delta Air Lines fleet consists of 1,004 mainline aircraft, making it the third largest commercial airline fleet in the world. Prior to its 2008 merger
Delta_Air_Lines_fleet
Mathematical symbol used for partial derivatives and other concepts
used for boundary of a set, the boundary operator in a chain complex, and the conjugate of the Dolbeault operator on smooth differential forms over a complex
Partial_differential
Mathematical objects more general than vectors
any two indices (when the two gradients become the Δ {\displaystyle \Delta } operator) is null. If tensor is divided by r 2 l + 1 {\displaystyle r^{2l+1}}
Harmonic_tensors
American spy thriller television series
season, turned Delta Force operator and Josephina's handler in the second season, and QRF team member in the third season. (Note: Delta is an Army unit;
Lioness_(American_TV_series)
Δ ( X Y ) = Δ ( X ) Δ ( Y ) {\displaystyle \Delta (XY)=\Delta (X)\Delta (Y)} for invertible operators X , Y ∈ M {\displaystyle X,Y\in {\mathcal {M}}}
Fuglede−Kadison_determinant
The list of Boeing 717 operators lists both former and current operators of the aircraft. "Delta Air Lines Annual Report 2025" (PDF). "Hawaiian Airlines
List_of_Boeing_717_operators
Arena in Salt Lake City
Delta Center is an indoor venue in Salt Lake City. Opened in 1991, the arena is the home of the Utah Jazz of the National Basketball Association (NBA)
Delta_Center
Type of derivative of a linear operator
\delta ={1 \over h}(S_{h}-1),} whose Pincherle derivative is the shift operator δ ′ = S h {\displaystyle \delta '=S_{h}} . Commutator Delta operator Umbral
Pincherle_derivative
Topics referred to by the same term
refer to: Laplace operator, a differential operator often denoted by the symbol ∇2 Hessian matrix, sometimes denoted by ∇2 Aitken's delta-squared process
Del_squared
2002 military offensive against al-Qaeda and the Taliban during the war in Afghanistan
Another team codenamed India, composed of three Delta operators, a combat controller, and an attached ISA operator walked into the valley through the same conditions
Operation_Anaconda
Symbol used to indicate the del operator
∇ The nabla is a triangular symbol resembling an inverted Greek delta: ∇ {\displaystyle \nabla } or ∇. The name comes, by reason of the symbol's shape
Nabla_symbol
Media representations of the Green Berets
3rd SFG. In Three Kings, George Clooney plays a Green Beret Major and Delta Operator, Archie Gates. In Walking Tall, Dwayne Johnson plays a Special Forces
United States Army Special Forces in popular culture
United_States_Army_Special_Forces_in_popular_culture
through to Durant. The remainder of the ground force of Rangers and Delta operators were converging around the first crash site, sustaining many casualties
Timeline of the 1993 Battle of Mogadishu
Timeline_of_the_1993_Battle_of_Mogadishu
Largest absolute value of an operator's eigenvalues
its eigenvalues. More generally, the spectral radius of a bounded linear operator is the supremum of the absolute values of the elements of its spectrum
Spectral_radius
2001 multinational military operation
December. Forty operators from A Squadron Delta Force deployed forward to Tora Bora and assumed tactical command from the CIA. With the Delta squadron were
United States invasion of Afghanistan
United_States_invasion_of_Afghanistan
Mathematical function of two variables; outputs 1 if they are equal, 0 otherwise
In mathematics, the Kronecker delta (named after Leopold Kronecker), is a function of two variables, usually non-negative integers. The function is 1
Kronecker_delta
Topics referred to by the same term
thermal gradients Delta time (disambiguation) Finite difference for the mathematics of the finite difference operator denoted as Δ Delta (letter) for the
ΔT
Machine learning framework
Neural operators are a class of deep learning architectures designed to learn maps between infinite-dimensional function spaces. Neural operators represent
Neural_operators
Result about when a matrix can be diagonalized
bounded operator. It does also have eigenvectors in a larger space. Namely the distribution f ( t ) = δ ( t − t 0 ) {\displaystyle f(t)=\delta (t-t_{0})}
Spectral_theorem
American bus operator
Delta Bus Lines is an intercity and charter bus operator serving the Mississippi Delta region of the southern United States. Based in Greenville, Mississippi
Delta_Bus_Lines
Polynomial decomposition, factorization under functional composition Delta operator Bernstein–Sato polynomial Lagrange polynomial Runge's phenomenon Spline
List_of_polynomial_topics
Inequality relating to the Laplace operator
inequality is a distributional inequality for the Laplace operator or certain elliptic operators. It was proven in 1972 by the Japanese mathematician Tosio
Kato's_inequality
Cold War interceptor of the US Air Force
The Convair F-102 Delta Dagger is an interceptor aircraft designed and produced by the American aircraft manufacturer Convair. A member of the Century
Convair_F-102_Delta_Dagger
Relates 2 second-order elliptic operators on a manifold with the same principal symbol
operator δ defined as the formal adjoint of the de Rham operator d: ∫ M ⟨ α , δ β ⟩ := ∫ M ⟨ d α , β ⟩ {\displaystyle \int _{M}\langle \alpha ,\delta
Weitzenböck_identity
Hijack false alarm on September 11, 2001
Delta Air Lines Flight 1989 was a regularly scheduled flight on September 11, 2001, from Logan International Airport to Los Angeles International Airport
Delta_Air_Lines_Flight_1989
Small single-aisle airliner
aircraft in 2018. Delta Air Lines is the largest operator of the 717, flying over 70 percent of all in-service jets as of 2024. In 2013, Delta began leasing
Boeing_717
2025 aviation accident in Canada
Delta Connection Flight 4819 was a scheduled international passenger flight from Minneapolis–Saint Paul International Airport in the United States to
Delta_Connection_Flight_4819
Approximation method in quantum physics
0 , {\displaystyle \delta E[\phi _{k}^{*}(x_{k})]=\delta \left\langle \psi ^{HF}|{\hat {H}}^{e}|\psi ^{HF}\right\rangle -\delta \left[\sum _{i=1}^{N}\sum
Hartree–Fock_method
In physics, a linear operator acting on a vector space of linear operators
momentum operators, we may (for whatever reason) define an “Operator Derivative” Δ H ^ Δ P ^ {\displaystyle {\frac {\Delta {\hat {H}}}{\Delta {\hat {P}}}}}
Superoperator
Canadian narrow-body airliner family
jet version of the A220-100, launched in late 2020. Delta Air Lines is the largest A220 operator with 93 aircraft in its fleet, while AirAsia is the largest
Airbus_A220
Algebra used in 2D conformal field theories and string theory
{\displaystyle [G_{m},G_{n}]=(m-n)L_{m+n}+\delta _{m,-n}{\frac {4m^{2}+1}{12}}c} By examining the symmetry of the operator products, one finds that there are
Vertex_operator_algebra
travel, tourism, insurance
DELTA OPERATOR
DELTA OPERATOR
DELTA OPERATOR
DELTA OPERATOR
DELTA OPERATOR
DELTA OPERATOR
DELTA OPERATOR
DELTA OPERATOR
DELTA OPERATOR
travel, tourism, insurance