Vector Algebra
Geometry of Euclidean Sets I: Vector, Topological, and Metric Aspects

Article REF: AF222 V1

Vector Algebra
Geometry of Euclidean Sets I: Vector, Topological, and Metric Aspects

Author : Jean-Charles PINOLI

Publication date: May 10, 2026 | Lire en français

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3. Vector Algebra

The second general mathematical framework is that of vector algebra, which amounts to considering Euclidean space $ℝ_{2}^{n}$ such as the ambient vector space whose origin is the zero vector, denoted by o.

3.1 Vector and Affine Subspaces

A vector subspace of $ℝ_{2}^{n}$ is a subset of $ℝ_{2}^{n}$ stable under linear combinations. An affine...

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Vector Algebra

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Euclidean Topology I: Basic Concepts

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Bibliography

(1) - AUBIN (J.P.), FRANKOWSKA (H.) - Set-Valued Analysis, - Birkhäuser (1990).
(2) - BERGER (M.) - Geometry, - Springer, vol. 1 and 2, [1st ed., 1987] (2009).
(3)...

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