(Browder [8]) Let K be a nonempty compact convex subset of a topological

vector space. Let T be a map of K into [2.sup.K], where for each x [member of] K, T(x) is a nonempty convex subset of K.

(C) There is an isomorphism between the Clifford algebra Cl(d) in d-dimensions and the exterior algebra [LAMBDA] x M of cotangent bundle [T.sup.*] M over M [9, 10] (the space of the Clifford algebra Cl(d) is isomorphic, as a

vector space, to the

vector space of the exterior algebra [LAMBDA] x M.

founder and CEO John Garvey joins

Vector Space Systems as chief technology officer.

Micro satellite space launch enterprise

Vector Space Systems has secured more than USD1 million in angel funding at Space 2.0 in Silicon Valley, the company said.

The SPA specifies a method for implementing high-level cognitive systems and behaviors in a high-dimensional

vector space representation, and the NEF specifies methods for implementing

vector space representations in spiking neurons.

They employed two different

vector space models to interpret word meaning--a basic bag-of-words model and a slightly simplified variant of the contextualization model of Thater et al.

Let (V,+,.) be any

vector space over a field K and let V (I) = < V [union] I > be a neutrosophic set generated by V and I.

Let V be a real

vector space of dimension n, equipped with a basis [DELTA] = {[[alpha].sub.1], [[alpha].sub.2], ..., [[alpha].sub.n]}.

Let X be real topological

vector space whose topology is induced by translation invariant metric d with the property

Definition 2 Let [F.sup.n] be a

vector space over the field F, and x, y [member of] [F.sup.n] where x = [x.sub.1],[x.sub.2] ...

Let V be a n dimensional

vector space over a field F and [sigma] a linear transformation on V.