Examples of 'tangent space' in a sentence
Meaning of "tangent space"
In mathematics, the tangent space of a manifold at a given point is a vector space that approximates the local behavior of the manifold near that point. It is used in differential geometry and calculus to study the tangent vectors and tangent planes of curves and surfaces
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- An n-dimensional vector space that represents the set of all vectors tangent to given n-dimensional differentiable manifold M at point x.
How to use "tangent space" in a sentence
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tangent space
The tangent space has many definitions.
Classification may be performed in the tangent space.
The tangent space vectors are therefore.
There is an associated notion of the tangent space of a measure.
Local tangent space alignment.
They provide a basis for the tangent space at p.
The dimension of the tangent space at x is called the embedding dimension at x.
The projection of this data into a tangent space.
The vectors in this tangent space are different from the vectors of the vector manifold.
Normals are pseudovectors that belong to the dual of the tangent space.
Or else in a tangent space of said Riemann manifold.
This is because it does not have a tangent space at its corners.
The tangent space at the identity of a Lie.
A bivector is an element of the antisymmetric tensor product of a tangent space with itself.
Where TxM denotes the tangent space to M at the point x.
See also
Implementing said classification step c on the filtered data in said tangent space.
On a Euclidean distance defined on a tangent space of said Riemann manifold.
The tangent space of an n-dimensional smooth manifold at the point.
The infinitesimal increments are then identified with vectors in the tangent space at a point.
The tangent space is the generalization to higher-dimensional differentiable manifolds.
A frame at a point of a differentiable manifold M is a basis of the tangent space at the point.
Normals in tangent space coordinates, independent of object transformation and deformation.
The kernel of this map is called the Zariski tangent space of X at pp.
Every tangent space of a pseudo-Riemannian manifold is a pseudo-Euclidean vector space.
It is known that the Riemann manifold M possesses a tangent space for each of its points.
The tangent space at each event is a vector space of the same dimension as spacetime, 4.
See Zariski tangent space.
If the tangent space is n-dimensional, it can be shown that formula 9.
Ricci curvature is a linear operator on tangent space at a point, usually denoted by Ric.
Consists in applying a “ dimensional filtering ” operation in the tangent space.
Thus, the inner product on the tangent space gives the length of an infinitesimal translation.
A smooth function has ( at every point ) the differential, - a linear functional on the tangent space.
We then identify the vector in the tangent space with the associated left-invariant vector field.
The tangent space at p is isometric as a real inner product space to E1,3.
More exactly said, the tetrad specifies a tangent space at each point of the Riemann manifold.
H3, The tangent space of F is a finite-dimensional vector space over k.
And access it again we use the Tangent Space Coordinate System - this makes the.
Then the holonomy group Hol ( M ) acts on the tangent space TxM.
It acts on the tangent space at p by ra → Fabrb.
The “ curvature ” of the Riemann manifold is lost, since the tangent space is Euclidean.
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E2, classifying in said tangent space.
See also, tangent space to a functor.
A pictorial representation of the tangent space of a single point x { \ displaystyle x } on a sphere.
A vector in this tangent space represents a possible velocity at x { \ displaystyle x }.
Provide a basis of the tangent space at p { \ displaystyle p }.
The elements of the tangent space at x { \ displaystyle x } are called the tangent vectors at x { \ displaystyle x.
These points generate a tangent space of definite dimension " at " each point.
In the second case, the tangent space is that line, considered as affine space.
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Tangent line to the graph of a function at a point
We took the tangent to the central area
Examples of using Space
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The same space has a cooker hood
I waited five years for that space
The race for space at the table
