Definition of TangentVector. Meaning of TangentVector. Synonyms of TangentVector

- In mathematics, a tangent vector is a vector that is tangent to a curve or surface at a given point. Tangent vectors are described in the differential...
- setting, a vector field gives a tangent vector at each point of the manifold (that is, a section of the tangent bundle to the manifold). Vector fields are...
- right tangent lines have equation x = 0. In mathematics, a tangent vector is a vector that is tangent to a curve or surface at a given point. Tangent vectors...
- defined as follows: T is the unit vector tangent to the curve, pointing in the direction of motion. N is the normal unit vector, the derivative of T with respect...
- the tangent bundle of a differentiable manifold M {\displaystyle M} is a manifold T M {\displaystyle TM} which ****embles all the tangent vectors in M...
- ordinary n-tuples can be used as well. Definitions of tangent vectors as ordinary vectors A tangent vector at a point p may be defined, here specialized to...
- the tangent space at x {\displaystyle x} are called the tangent vectors at x {\displaystyle x} . This is a generalization of the notion of a vector, based...
- velocity vector at p. The collection of all tangent vectors at p forms a vector space: the tangent space to M at p, denoted TpM. If X is a tangent vector at...
- T_{\varphi (x)}N} . Hence it can be used to push tangent vectors on M {\displaystyle M} forward to tangent vectors on N {\displaystyle N} . The differential...
- is a tangent vector – a vector at each point; while the value of the derivative at a point is a cotangent vector – a linear functional on vectors. They...