Category:Dilation Mappings
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This category contains results about Dilation Mappings.
Definitions specific to this category can be found in Definitions/Dilation Mappings.
Definition 1
Let $K$ be a field.
Let $X$ be a vector space over $K$.
Let $\lambda \in K$.
The central dilatation mapping $c_\lambda : X \to X$ is defined as:
- $\forall x \in X: \map {c_\lambda} x = \lambda x$
where $\lambda x$ denotes the scalar product of $\lambda$ with $x$.
Definition 2
A central dilatation mapping is a linear transformation involving a fixed point $C$ such that the image $P'$ of a point $P$ is the point on the directed line segment $CP$ such that $CP' = k CP$ where $k$ is a real non-zero constant.
Pages in category "Dilation Mappings"
The following 2 pages are in this category, out of 2 total.