Examples of 'linear map' in a sentence
Meaning of "linear map"
In mathematics, a linear map refers to a function or transformation that preserves the properties of linearity. It describes a relationship between two vector spaces, where the map preserves addition and scalar multiplication operations. This phrase is commonly used in algebra, calculus, and other areas of mathematics
How to use "linear map" in a sentence
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linear map
A single linear map may be represented by many matrices.
An important special case is the kernel of a linear map.
A linear map is determined completely by its action on a basis.
The total derivative as a linear map.
A linear map is an isomorphism if and only if the determinant is nonzero.
Coordinates of a vector and matrix representations of a linear map.
Matrix of a linear map in a basis.
He would provide a definition of a vector space and linear map.
Continuous linear map.
The outermorphism inherits linearity properties of the original linear map.
A bialgebra homomorphism is a linear map that is both an algebra and a coalgebra homomorphism.
Diagonalization is the process of finding a corresponding diagonal matrix for a diagonalizable matrix or linear map.
Indeed every linear map can be converted into a semilinear map in such a way.
The relation of two vector spaces can be expressed by linear map or linear transformation.
The relation between this linear map and the angular velocity pseudovector formula 20 is the following.
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Equivalently it is the dimension of the image of the linear map represented by A.
The linear map X → X which assigns to each function its derivative is similarly discontinuous.
Then we can define a linear map R by.
On every infinite-dimensional topological vector space there is a discontinuous linear map.
In the language of abstract algebra, a linear map is a module homomorphism.
In the second, the player is in a shootout in a linear map.
A module homomorphism, also called a linear map between modules, is defined similarly.
A translation of axes is a rigid transformation, but not a linear map.
That is, an intertwiner is just an equivariant linear map between two linear representations.
These two graphs are isomorphic, but their isomorphism can not be realized by a linear map.
For example, any linear map is additive.
The conclusion is that, intuitively, formula 10 consists of a translation and a linear map.
Consider the linear map ( also called endomorphism ) given by.
Both examples have the property that any continuous linear map to the real numbers is 0.
The inverse of a linear map, when defined, is again a linear map.
The mapping, formula 66is an isometric linear map with dense image.
In linear algebra, mathematical analysis, and functional analysis, a linear function is a linear map.
Figure 9 shows a linear map of pB / PIPC.
For every Banach space Y, there is a natural norm 1 linear map.
The direct sum of these maps gives a linear map between ⋀ ( V ) and CℓV, Q.
The conclusion is that, intuitively, f { \ displaystyle f } consists of a translation and a linear map.
Let V be a finite-dimensional vector space over a field k and f, V → V { \ displaystyle f, V \ to V } a linear map with minimal polynomial q.
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Examples of using Map
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The map features of this layer are points
Function keys and map display symbols
The map features of this layer are polylines
Examples of using Linear
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Linear guideways and cross roller guides
Glass scales as linear length measuring system