Vector operator information

vector operator is a differential operator used in vector calculus. Vector operators include the gradient, divergence, and curl: Gradient is a vector...

The vector Laplace operator, also denoted by ∇ 2 {\displaystyle \nabla ^{2}} , is a differential operator defined over a vector field. The vector Laplacian...

Del, or nabla, is an operator used in mathematics (particularly in vector calculus) as a vector differential operator, usually represented by the nabla...

In vector calculus, the gradient of a scalar-valued differentiable function f {\displaystyle f} of several variables is the vector field (or vector-valued...

In vector calculus, divergence is a vector operator that operates on a vector field, producing a scalar field giving the quantity of the vector field's...

defined on the space of bounded linear operators between two given normed vector spaces. Informally, the operator norm ‖ T ‖ {\displaystyle \|T\|} of a...

transformation, vector space homomorphism, or in some contexts linear function) is a mapping V → W {\displaystyle V\to W} between two vector spaces that preserves...

Vector calculus or vector analysis is a branch of mathematics concerned with the differentiation and integration of vector fields, primarily in three-dimensional...

mathematics, the Hodge star operator or Hodge star is a linear map defined on the exterior algebra of a finite-dimensional oriented vector space endowed with a...

analysis and operator theory, a bounded linear operator is a linear transformation L : X → Y {\displaystyle L:X\to Y} between topological vector spaces (TVSs)...

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

constant. The orbital angular momentum operator is a vector operator, meaning it can be written in terms of its vector components L = ( L x , L y , L z )...

continuous linear operator or continuous linear mapping is a continuous linear transformation between topological vector spaces. An operator between two normed...

the result of the Prewitt operator is either the corresponding gradient vector or the norm of this vector. The Prewitt operator is based on convolving the...

product vector. As the cross product operator depends on the orientation of the space, in general the cross product of two vectors is not a "true" vector, but...

of the Sobel–Feldman operator is either the corresponding gradient vector or the norm of this vector. The Sobel–Feldman operator is based on convolving...

between two vectors is the quotient of their dot product by the product of their lengths). The name "dot product" is derived from the dot operator " · " that...

Vector notation In mathematics and physics, vector notation is a commonly used notation for representing vectors, which may be Euclidean vectors, or more...

\mathbf {1} } is a constant vector with elements 1. The inverse matrix-to-vector diag {\displaystyle \operatorname {diag} } operator is sometimes denoted by...

std::out_of_range("Vector::operator[]"); return elem[n]; } Vector(const Vector&) = delete; // rule of three Vector& operator=(const Vector&) = delete; private:...