In computer science, Peter Landin's J operator is a programming construct that post-composes a lambda expression with the continuation to the current lambda-context...

In mathematics, a differential operator is an operator defined as a function of the differentiation operator. It is helpful, as a matter of notation first...

Creation operators and annihilation operators are mathematical operators that have widespread applications in quantum mechanics, notably in the study...

operator T {\displaystyle T} belongs to an operator ideal J {\displaystyle {\mathcal {J}}} , then for any operators A {\displaystyle A} and B {\displaystyle...

In mathematics, an operator is generally a mapping or function that acts on elements of a space to produce elements of another space (possibly and sometimes...

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...

{\begin{aligned}J_{-}J_{+}&=(J_{x}-iJ_{y})(J_{x}+iJ_{y})=J_{x}^{2}+J_{y}^{2}+i[J_{x},J_{y}]=J^{2}-J_{z}^{2}-\hbar J_{z},\\J_{+}J_{-}&=(J_{x}+iJ_{y})(J_{x}-iJ_{y})=J...

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

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...

partial differential equations, elliptic operators are differential operators that generalize the Laplace operator. They are defined by the condition that...

Prewitt operator is used in image processing, particularly within edge detection algorithms. Technically, it is a discrete differentiation operator, computing...

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

differentiation operator D {\displaystyle D} D f ( x ) = d d x f ( x ) , {\displaystyle Df(x)={\frac {d}{dx}}f(x)\,,} and of the integration operator J {\displaystyle...

The Sobel operator, sometimes called the Sobel–Feldman operator or Sobel filter, is used in image processing and computer vision, particularly within...

functional analysis and operator theory, the notion of unbounded operator provides an abstract framework for dealing with differential operators, unbounded observables...

Neural operators are a class of deep learning architectures designed to learn maps between infinite-dimensional function spaces. Neural operators represent...

In time series analysis, the lag operator (L) or backshift operator (B) operates on an element of a time series to produce the previous element. For example...

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

also J + J − = J x 2 + J y 2 − i [ J x , J y ] = J x 2 + J y 2 + J z {\displaystyle J_{+}J_{-}=J_{x}^{2}+J_{y}^{2}-i[J_{x},J_{y}]=J_{x}^{2}+J_{y}^{2}+J_{z}}...

quantum mechanics, the momentum operator is the operator associated with the linear momentum. The momentum operator is, in the position representation...

In mathematics, the transfer operator encodes information about an iterated map and is frequently used to study the behavior of dynamical systems, statistical...

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...

closed-shell system, J ^ j ( i ) {\displaystyle {\hat {J}}_{j}(i)} is the Coulomb operator, defining the repulsive force between the j-th and i-th electrons...

In mathematics, a Hilbert–Schmidt operator, named after David Hilbert and Erhard Schmidt, is a bounded operator A : H → H {\displaystyle A\colon H\to...

telephony, companies used manual telephone switchboards, and switchboard operators connected calls by inserting a pair of phone plugs into the appropriate...

especially operator theory, subnormal operators are bounded operators on a Hilbert space defined by weakening the requirements for normal operators. Some examples...

a tensor operator generalizes the notion of operators which are scalars and vectors. A special class of these are spherical tensor operators which apply...

mathematics, operator theory is the study of linear operators on function spaces, beginning with differential operators and integral operators. The operators may...

language), successor to APL J# programming language for the Microsoft .NET Framework J operator, a programming construct J (operating system), an operating...

mathematics, the composition operator C ϕ {\displaystyle C_{\phi }} with symbol ϕ {\displaystyle \phi } is a linear operator defined by the rule C ϕ ( f...