Similarities between Curvilinear coordinates and Gradient
Curvilinear coordinates and Gradient have 23 things in common (in Unionpedia): Atlas (topology), Cartesian coordinate system, Chain rule, Christoffel symbols, Curl (mathematics), Del, Divergence, Dot product, Euclidean space, Euclidean vector, Jacobian matrix and determinant, Line integral, Linear map, Manifold, Metric tensor, Orthogonal coordinates, Orthogonality, Standard basis, Tangent, Tangent space, Tensor, Tensor product, Unit vector.
Atlas (topology)
In mathematics, particularly topology, one describes a manifold using an atlas.
Atlas (topology) and Curvilinear coordinates · Atlas (topology) and Gradient ·
Cartesian coordinate system
A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular directed lines, measured in the same unit of length.
Cartesian coordinate system and Curvilinear coordinates · Cartesian coordinate system and Gradient ·
Chain rule
In calculus, the chain rule is a formula for computing the derivative of the composition of two or more functions.
Chain rule and Curvilinear coordinates · Chain rule and Gradient ·
Christoffel symbols
In mathematics and physics, the Christoffel symbols are an array of numbers describing a metric connection.
Christoffel symbols and Curvilinear coordinates · Christoffel symbols and Gradient ·
Curl (mathematics)
In vector calculus, the curl is a vector operator that describes the infinitesimal rotation of a vector field in three-dimensional Euclidean space.
Curl (mathematics) and Curvilinear coordinates · Curl (mathematics) and Gradient ·
Del
Del, or nabla, is an operator used in mathematics, in particular in vector calculus, as a vector differential operator, usually represented by the nabla symbol ∇.
Curvilinear coordinates and Del · Del and Gradient ·
Divergence
In vector calculus, divergence is a vector operator that produces a scalar field, giving the quantity of a vector field's source at each point.
Curvilinear coordinates and Divergence · Divergence and Gradient ·
Dot product
In mathematics, the dot product or scalar productThe term scalar product is often also used more generally to mean a symmetric bilinear form, for example for a pseudo-Euclidean space.
Curvilinear coordinates and Dot product · Dot product and Gradient ·
Euclidean space
In geometry, Euclidean space encompasses the two-dimensional Euclidean plane, the three-dimensional space of Euclidean geometry, and certain other spaces.
Curvilinear coordinates and Euclidean space · Euclidean space and Gradient ·
Euclidean vector
In mathematics, physics, and engineering, a Euclidean vector (sometimes called a geometric or spatial vector, or—as here—simply a vector) is a geometric object that has magnitude (or length) and direction.
Curvilinear coordinates and Euclidean vector · Euclidean vector and Gradient ·
Jacobian matrix and determinant
In vector calculus, the Jacobian matrix is the matrix of all first-order partial derivatives of a vector-valued function.
Curvilinear coordinates and Jacobian matrix and determinant · Gradient and Jacobian matrix and determinant ·
Line integral
In mathematics, a line integral is an integral where the function to be integrated is evaluated along a curve.
Curvilinear coordinates and Line integral · Gradient and Line integral ·
Linear map
In mathematics, a linear map (also called a linear mapping, linear transformation or, in some contexts, linear function) is a mapping between two modules (including vector spaces) that preserves (in the sense defined below) the operations of addition and scalar multiplication.
Curvilinear coordinates and Linear map · Gradient and Linear map ·
Manifold
In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point.
Curvilinear coordinates and Manifold · Gradient and Manifold ·
Metric tensor
In the mathematical field of differential geometry, a metric tensor is a type of function which takes as input a pair of tangent vectors and at a point of a surface (or higher dimensional differentiable manifold) and produces a real number scalar in a way that generalizes many of the familiar properties of the dot product of vectors in Euclidean space.
Curvilinear coordinates and Metric tensor · Gradient and Metric tensor ·
Orthogonal coordinates
In mathematics, orthogonal coordinates are defined as a set of d coordinates q.
Curvilinear coordinates and Orthogonal coordinates · Gradient and Orthogonal coordinates ·
Orthogonality
In mathematics, orthogonality is the generalization of the notion of perpendicularity to the linear algebra of bilinear forms.
Curvilinear coordinates and Orthogonality · Gradient and Orthogonality ·
Standard basis
In mathematics, the standard basis (also called natural basis) for a Euclidean space is the set of unit vectors pointing in the direction of the axes of a Cartesian coordinate system.
Curvilinear coordinates and Standard basis · Gradient and Standard basis ·
Tangent
In geometry, the tangent line (or simply tangent) to a plane curve at a given point is the straight line that "just touches" the curve at that point.
Curvilinear coordinates and Tangent · Gradient and Tangent ·
Tangent space
In mathematics, the tangent space of a manifold facilitates the generalization of vectors from affine spaces to general manifolds, since in the latter case one cannot simply subtract two points to obtain a vector that gives the displacement of the one point from the other.
Curvilinear coordinates and Tangent space · Gradient and Tangent space ·
Tensor
In mathematics, tensors are geometric objects that describe linear relations between geometric vectors, scalars, and other tensors.
Curvilinear coordinates and Tensor · Gradient and Tensor ·
Tensor product
In mathematics, the tensor product of two vector spaces and (over the same field) is itself a vector space, together with an operation of bilinear composition, denoted by, from ordered pairs in the Cartesian product into, in a way that generalizes the outer product.
Curvilinear coordinates and Tensor product · Gradient and Tensor product ·
Unit vector
In mathematics, a unit vector in a normed vector space is a vector (often a spatial vector) of length 1.
Curvilinear coordinates and Unit vector · Gradient and Unit vector ·
The list above answers the following questions
- What Curvilinear coordinates and Gradient have in common
- What are the similarities between Curvilinear coordinates and Gradient
Curvilinear coordinates and Gradient Comparison
Curvilinear coordinates has 102 relations, while Gradient has 72. As they have in common 23, the Jaccard index is 13.22% = 23 / (102 + 72).
References
This article shows the relationship between Curvilinear coordinates and Gradient. To access each article from which the information was extracted, please visit: