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...
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Creation operators and annihilation operators are mathematical operators that have widespread applications in quantum mechanics, notably in the study...
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{\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 (4,537 words) - 09:27, 4 May 2025
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 (3,693 words) - 08:09, 21 February 2025
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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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...
59 KB (7,991 words) - 01:56, 28 May 2025
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...
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the J operator and with type inference. Another line of descent from ISWIM is to strip out the imperative features (assignment and the J operator) leaving...
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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 (3,595 words) - 11:49, 22 April 2025
functional analysis and operator theory, the notion of unbounded operator provides an abstract framework for dealing with differential operators, unbounded observables...
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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}}...
42 KB (6,691 words) - 18:42, 16 April 2025
In mathematics, Jordan operator algebras are real or complex Jordan algebras with the compatible structure of a Banach space. When the coefficients are...
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in the Fock operator. It is defined as: J ^ j ( 1 ) f i ( 1 ) = f i ( 1 ) ∫ | φ j ( 2 ) | 2 1 r 12 d r 2 {\displaystyle {\widehat {J}}_{j}(1)f_{i}(1)=f_{i}(1)\int...
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Donut Operator". YouTube. "Mustached Cop Gives Rescued Kitten New Forever Home With His 7 Other Pets". ABC News. Retrieved 2024-06-01. Gross, Daniel J. (June...
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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...
9 KB (1,391 words) - 23:43, 26 February 2025
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...
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operator. This operator was introduced independently by Richard Feynman and Roy J. Glauber in 1951. The displacement operator is a unitary operator,...
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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...
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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...
29 KB (5,042 words) - 04:03, 21 April 2025
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 differential geometry, the Laplace–Beltrami operator is a generalization of the Laplace operator to functions defined on submanifolds in Euclidean space...
20 KB (3,344 words) - 06:20, 21 June 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 (8,156 words) - 10:24, 4 March 2025
partial differential equations, elliptic operators are differential operators that generalize the Laplace operator. They are defined by the condition that...
13 KB (2,093 words) - 04:02, 18 April 2025
In functional analysis, one is interested in extensions of symmetric operators acting on a Hilbert space. Of particular importance is the existence, and...
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(PLAAF), but numerous international operators have bought their own J-7s. Outside of China, the largest operator of the J-7 is the Pakistan Air Force. Later...
50 KB (5,562 words) - 07:36, 27 May 2025
language), successor to APL J# programming language for the Microsoft .NET Framework J operator, a programming construct J (operating system), an operating...
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mechanics, the exchange operator P ^ {\displaystyle {\hat {P}}} , also known as permutation operator, is a quantum mechanical operator that acts on states...
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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