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Everything about Tangent vector
Vector tangent to a curve or surface at a given point
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 geometry of curves in the context of curves in Rn. More generally, tangent vectors are elements of a tangent space of a differentiable manifold. Tangent vectors can also be described in terms of germs. Formally, a tangent vector at the point is a linear derivation of the algebra defined by the set of germs at. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Tangent vectorA 5-minute orientation
- Skim a recent paper: Dynamics of a gyrostat satellite with the vector of gyrostatic moment tangent to the orbital planeInfluential work since 2022
- Pick up a classic book: An Elementary Treatise on the Differential Calculus: In which the Method of Limits is ...The most-reprinted book on the subject
- Read the landmark paper: Design of tangent vector fieldsCited 115 times
- Go sideways: Tangent spaceA closely related topic
- Go sideways: Calculus on Euclidean spaceA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Design of tangent vector fields
Streak Lines as Tangent Curves of a Derived Vector Field
Optimality Conditions in Differentiable Vector Optimization via Second-Order Tangent Sets
An Operator Approach to Tangent Vector Field Processing
Harmonic and minimal vector fields on tangent and unit tangent bundles
Magnetopause Surface Reconstruction From Tangent Vector Observations
Intrinsic representation of tangent vectors and vector transports on matrix manifolds
Tangent vector applied to voltage collapse and loss sensitivity studies
🆕 Influential since 2022
Dynamics of a gyrostat satellite with the vector of gyrostatic moment tangent to the orbital plane
Conformal vector fields and geometric solitons on the tangent bundle with the ciconia metric
Decomposition of Lorenz Trajectories Based on Space Curve Tangent Vector
Multi-angle Support Vector Survival Analysis with Neural Tangent Kernel Study
Illustration of the voltage stability by using the slope of the tangent vector component
📚 Books worth reading
An Elementary Treatise on the Differential Calculus: In which the Method of Limits is ...M. O'Brien · 1842
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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- Covariant derivative In mathematics, the covariant derivative is a way of specifying a derivative along tangent vectors of a manifold. Alternatively, the covariant derivative…
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