Source: wikibot/ordered-vector-space

= Ordered vector space
{wiki=Ordered_vector_space}

An ordered vector space is a vector space that is also endowed with a compatible order relation, which allows for the comparison of different elements (vectors) in the space. This concept combines the structure of a vector space with that of an ordered set. \#\#\# Components of Ordered Vector Spaces: 1. **Vector Space:** A set \\( V \\) along with two operations: vector addition and scalar multiplication, satisfying the axioms of a vector space.