Category:Translation Mappings (Vector Spaces)

This category contains results about Translation Mappings in the context of Vector Spaces.
Definitions specific to this category can be found in Definitions/Translation Mappings (Vector Spaces).

Let $K$ be a field.

Let $X$ be a vector space over $K$.

Let $x \in X$.

The translation mapping $\tau_x : X \to X$ is defined as:

$\forall y \in X: \map {\tau_x} y = y - x$

where $y - x$ denotes vector subtraction.