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...
5 KB (555 words) - 05:58, 13 August 2023
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...
22 KB (3,674 words) - 12:25, 23 August 2024
Creation operators and annihilation operators are mathematical operators that have widespread applications in quantum mechanics, notably in the study...
25 KB (4,461 words) - 00:10, 27 June 2024
operator T {\displaystyle T} belongs to an operator ideal J {\displaystyle {\mathcal {J}}} , then for any operators A {\displaystyle A} and B {\displaystyle...
3 KB (532 words) - 19:24, 1 November 2019
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...
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Hamiltonian (quantum mechanics) (redirect from Hamiltonian Operator)
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...
27 KB (4,903 words) - 22:09, 7 July 2024
{\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...
24 KB (4,501 words) - 22:41, 14 February 2024
In mathematics, a self-adjoint operator on a complex vector space V with inner product ⟨ ⋅ , ⋅ ⟩ {\displaystyle \langle \cdot ,\cdot \rangle } is a linear...
48 KB (8,052 words) - 08:56, 23 July 2024
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...
27 KB (3,587 words) - 12:55, 21 July 2024
partial differential equations, elliptic operators are differential operators that generalize the Laplace operator. They are defined by the condition that...
10 KB (1,499 words) - 08:41, 12 July 2024
Prewitt operator is used in image processing, particularly within edge detection algorithms. Technically, it is a discrete differentiation operator, computing...
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In mathematics, the Laplace operator or Laplacian is a differential operator given by the divergence of the gradient of a scalar function on Euclidean...
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Fractional calculus (section Erdélyi–Kober operator)
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...
57 KB (7,179 words) - 13:54, 11 August 2024
The Sobel operator, sometimes called the Sobel–Feldman operator or Sobel filter, is used in image processing and computer vision, particularly within...
17 KB (2,562 words) - 19:36, 14 May 2024
functional analysis and operator theory, the notion of unbounded operator provides an abstract framework for dealing with differential operators, unbounded observables...
32 KB (4,628 words) - 09:42, 21 July 2024
Neural operators are a class of deep learning architectures designed to learn maps between infinite-dimensional function spaces. Neural operators represent...
15 KB (2,039 words) - 01:06, 29 March 2024
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...
5 KB (938 words) - 17:43, 21 September 2022
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...
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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}}...
48 KB (7,570 words) - 11:57, 15 June 2024
quantum mechanics, the momentum operator is the operator associated with the linear momentum. The momentum operator is, in the position representation...
14 KB (2,071 words) - 14:44, 24 August 2024
In mathematics, the transfer operator encodes information about an iterated map and is frequently used to study the behavior of dynamical systems, statistical...
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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...
18 KB (2,664 words) - 01:33, 18 April 2024
Fock matrix (redirect from Fock operator)
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...
3 KB (463 words) - 18:45, 12 August 2023
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...
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telephony, companies used manual telephone switchboards, and switchboard operators connected calls by inserting a pair of phone plugs into the appropriate...
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especially operator theory, subnormal operators are bounded operators on a Hilbert space defined by weakening the requirements for normal operators. Some examples...
8 KB (1,513 words) - 02:20, 1 March 2023
a tensor operator generalizes the notion of operators which are scalars and vectors. A special class of these are spherical tensor operators which apply...
52 KB (9,015 words) - 19:02, 9 July 2024
mathematics, operator theory is the study of linear operators on function spaces, beginning with differential operators and integral operators. The operators may...
12 KB (1,543 words) - 18:53, 21 August 2024
language), successor to APL J# programming language for the Microsoft .NET Framework J operator, a programming construct J (operating system), an operating...
5 KB (773 words) - 10:54, 13 August 2024
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...
6 KB (730 words) - 16:32, 3 July 2023