differential operators also exist, such as the Schwarzian derivative. Given a nonnegative integer m, an order- m {\displaystyle m} linear differential operator is...

In quantum field theory, an order operator or an order field is a quantum field version of Landau's order parameter whose expectation value characterizes...

Common operator notation (for a more formal description) Hyperoperation Logical connective#Order of precedence Operator associativity Operator overloading...

an operator is also in C. Note that C does not support operator overloading. When not overloaded, for the operators &&, ||, and , (the comma operator),...

elliptic equations. Let L {\displaystyle L} be a linear differential operator of order m on a domain Ω {\displaystyle \Omega } in Rn given by L u = ∑ | α...

fact, the fractional integral operator 1 s λ {\displaystyle {\frac {1}{s^{\lambda }}}} is different from any integer-order rational transfer function G...

or reverses the given order. This concept first arose in calculus, and was later generalized to the more abstract setting of order theory. In calculus,...

in terms of these loops. In pure gauge theory they play the role of order operators for confinement, where they satisfy what is known as the area law....

annihilation operators, is usually said to be normal ordered (also called Wick order) when all creation operators are to the left of all annihilation operators in...

a Dirac operator is a first-order differential operator that is a formal square root, or half-iterate, of a second-order differential operator such as...

theoretical physics, path-ordering is the procedure (or a meta-operator P {\displaystyle {\mathcal {P}}} ) that orders a product of operators according to the...

pseudo-differential equations use pseudo-differential operators instead of differential operators. A differential algebraic equation (DAE) is a differential...

In mathematics, a self-adjoint operator on a complex vector space V with inner product ⟨ ⋅ , ⋅ ⟩ {\displaystyle \langle \cdot ,\cdot \rangle } is a linear...

nonnegative integer n is the order of the operator (if an(x) is not the zero function). Let L be a linear differential operator. The application of L to a...

In mathematics, the Laplace operator or Laplacian is a differential operator given by the divergence of the gradient of a scalar function on Euclidean...

differential geometry there are a number of second-order, linear, elliptic differential operators bearing the name Laplacian. This article provides an...

programming language theory, the associativity of an operator is a property that determines how operators of the same precedence are grouped in the absence...

In mathematics, a closure operator on a set S is a function cl : P ( S ) → P ( S ) {\displaystyle \operatorname {cl} :{\mathcal {P}}(S)\rightarrow {\mathcal...

mathematical field of differential geometry, the Paneitz operator is a fourth-order differential operator defined on a Riemannian manifold of dimension n. It...

In differential geometry, the Laplace–Beltrami operator is a generalization of the Laplace operator to functions defined on submanifolds in Euclidean space...

solved the factorization problem for a bivariate hyperbolic operator of the second order (see Hyperbolic partial differential equation), constructing...

Hamiltonian from the very beginning and never specifies a perturbation operator as such. Møller–Plesset perturbation theory uses the difference between...

analysis a pseudo-differential operator is an extension of the concept of differential operator. Pseudo-differential operators are used extensively in the...

are three main types of operators (mutation, crossover and selection), which must work in conjunction with one another in order for the algorithm to be...

spaces equipped with an Archimedean matrix order. Operator space Choi M.D., Effros, E.G. Injectivity and operator spaces. Journal of Functional Analysis 1977...

mathematics, the operator norm measures the "size" of certain linear operators by assigning each a real number called its operator norm. Formally, it...

A tour operator is a business that typically combines and organizes accommodations, meals, sightseeing and transportation components, in order to create...

^{2}y+y=0,} where ∇ 2 {\displaystyle \nabla ^{2}} denotes the Laplace operator, the Dirichlet boundary conditions on a domain Ω ⊂ Rn take the form y (...

The null coalescing operator is a binary operator that is part of the syntax for a basic conditional expression in several programming languages, such...

A vector operator is a differential operator used in vector calculus. Vector operators include: Gradient is a vector operator that operates on a scalar...