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...

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...

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

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...

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...

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...

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

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

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...

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...

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 mathematics, Jordan operator algebras are real or complex Jordan algebras with the compatible structure of a Banach space. When the coefficients are...

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}}...

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

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

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...

operator. This operator was introduced independently by Richard Feynman and Roy J. Glauber in 1951. The displacement operator is a unitary operator,...

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...

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...

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

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...

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

In operator theory, a multiplication operator is a linear operator Tf defined on some vector space of functions and whose value at a function φ is given...

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...

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

In functional analysis, a unitary operator is a surjective bounded operator on a Hilbert space that preserves the inner product. Non-trivial examples...

Computing Machinery: 157–166. doi:10.1145/365230.365257. S2CID 13409665. J operator Peter Landin, Lambda the Ultimate, 4 June 2009. Bornat 2009a Hashagen...

Given a tensor operator T ( k ) {\displaystyle T^{(k)}} and two states of angular momenta j {\displaystyle j} and j ′ {\displaystyle j'} , there exists...