Henderson County Clerk Office Information. Renesa Abner has been associated with the County Clerkâs Office for 20 years. The last eight as Supervisor of the Recording Department. She strives to provide informed, efficient, and friendly service to the citizens of Henderson County. Henderson County Clerk: Renesa Abner.
Projective Space. A projective space is a space that is invariant under the group of all general linear homogeneous transformation in the space concerned, but not under all the transformations of any group containing as a subgroup. A projective space is the space of one-dimensional vector subspaces of a given vector space.
Let be a real vector space (e.g., the real continuous functions on a closed interval , two-dimensional Euclidean space , the twice differentiable real functions on , etc.). Then is a real subspace of if is a subset of and, for every , and (the reals), and . Let be a homogeneous system of linear equations in , ..., . Then the subset of which consists of all solutions of the system is a subspace of . More generally, let be a field with , where is prime, and let denote the -dimensional vector space over . The number of -D linear subspaces of is.