Examples of 'affine space' in a sentence
Meaning of "affine space"
affine space: In mathematics, a geometric structure that generalizes the properties of Euclidean spaces without considering distances and angles between points
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- a vector space having no origin
How to use "affine space" in a sentence
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affine space
An affine space of dimension one is an affine line.
Every linear space is also an affine space.
An affine space of positive dimension is not complete.
Let and be points in an affine space.
Every complex affine space is a domain of holomorphy.
There are several different systems of axioms for affine space.
Thus the normal affine space is the plane of equation x a.
An affine variety is a rational variety if it is birationally equivalent to an affine space.
Recall the dimension of an affine space is the dimension of its associated vector space.
A bounded domain is an open connected bounded subset of a complex affine space.
The tangential affine space Ax is thus identified intuitively with an infinitesimal affine neighborhood of x.
The conclusion is that any affine variety is a branched covering of affine space.
An affine space of dimension 2 is an affine plane.
A position vector represents the position of a point in a Euclidean space or an affine space.
An affine space is a non-compact manifold ; a projective space is a compact manifold.
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Every vector space V may be considered as an affine space over itself.
Informally, an affine space is a vector space without a fixed choice of origin.
Line segments on a two-dimensional affine space.
More precisely, an affine space is a set with a free transitive vector space action.
An affine hyperplane is an affine subspace of codimension 1 in an affine space.
Affine space is a geometry in this sense, and is equipped with a flat Cartan connection.
Projective space is a compact topological space, affine space is not.
Let A be an affine space with difference space V on which a positive-definite inner product is defined.
Affine geometry of curves, the study of curves in affine space.
In particular, a vector space is an affine space over itself, by the map.
For the remainder of this section, we shall assume that V is a real affine space.
For instance, a hyperplane of an n-dimensional affine space is a flat subset with dimension n - 1.
In geometry, an affine plane is a two-dimensional affine space.
Let be a reflection of the vector affine space of dimension 2 3 4 5 with respect to a hyperplane.
In the second case, the tangent space is that line, considered as affine space.
They divided the 219 affine space groups into reducible and irreducible groups.
Affine hyperplanes = = = An affine hyperplane is an affine subspace of codimension 1 in an affine space.
See also, Complex affine space § Two dimensions.
Definition = = Let formula 1 be the vertices of a simplex in an affine space " A.
This is a surface in affine space A3.
Conversely, any vector space,, is an affine space over itself.
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Examples of using Affine
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Affine invariants can also assist calculations
The base change of an affine morphism is affine
An affine space of dimension one is an affine line
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
