OABC is a parallelogram. \(\overrightarrow{OA}\) is represented by the vector \(\mathbf{a}\) and \(\overrightarrow{OC}\) is represented by the vector \(\mathbf{c}\). M is the mid-point of BC and N is ...

This book explores three computational formalisms for solving geometric problems. Part I introduces a trigonometric-based formalism, enabling calculations of distances, angles, and areas using basic ...

Abstract. The close connection between the geometry of a Banach space and the properties of vector measures acting into it is now fairly well-understood. The present paper is devoted to a discussion ...

This is a preview. Log in through your library . Abstract Let E and F be vector bundles over a complex protective smooth curve X, and suppose that 0 → E → W → F → 0 is a nontrivial extension. Let G ⊂͟ ...

Abstract: Secure vector dominance is a key cryptographic primitive in secure computational geometry (SCG), determining the dominance relationship of vectors between two participants without revealing ...