1. Further structure may be assigned to the coordinate space through the coordinates. 2. The dimension of the coordinate space is, by the basis exhibited above. 3. Einstein's view of time requires a physical equivalence between coordinate time and coordinate space . 4. It begins by defining something called " real coordinate space " : that's a vector space. 5. Thus, a real coordinate space together with this Euclidean structure is called "'Euclidean space " '. 6. Her final three papers consider BK-spaces or Banach coordinate spaces , proving a number of interesting results. 7. Complex coordinate space is a vector space over the complex numbers, with componentwise addition and scalar multiplication. 8. With Cartesian coordinates it is modelled by the real coordinate space ( ) of the same dimension. 9. He said the Air Force would become the lead service in coordinating space activities in the Defense Department. 10. A Legendre transformation is performed to change the variables in the total differential of the generalized coordinate space Lagrangian;