Category:Translation of Subsets of Vector Spaces
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This category contains results about Translation of Subsets of Vector Spaces.
Definitions specific to this category can be found in Definitions/Translation of Subsets of Vector Spaces.
Let $K$ be a field.
Let $X$ be a vector space over $K$.
Let $E$ be a subset of $X$.
Let $x \in X$.
We define the translation of $E$ by $x$ as the set:
- $E + x = \set {u + x : u \in E}$
Subcategories
This category has only the following subcategory.
Pages in category "Translation of Subsets of Vector Spaces"
The following 10 pages are in this category, out of 10 total.
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T
- Translation of Closed Set in Topological Vector Space is Closed Set
- Translation of Complement of Set in Vector Space
- Translation of Convex Set in Vector Space is Convex
- Translation of Intersection of Subsets of Vector Space
- Translation of Local Basis in Topological Vector Space
- Translation of Open Set in Normed Vector Space is Open
- Translation of Open Set in Topological Vector Space is Open
- Translation of Union of Subsets of Vector Space