Euclidean Space

Euclidean -space is the Space of all -tuples of Real Numbers, (, , ...,) and is denoted . is a Vector Space and has Lebesgue Covering Dimension . Elements of are called -Vectors. is the set of RealNumbers (i.e., the Real Line), and is called the Euclidean Plane. In Euclideanspace, Covariant and Contravariant quantities are equivalent so.

References

Gray, A. ``Euclidean Spaces.'' §1.1 in Modern Differential Geometry of Curves and Surfaces. Boca Raton, FL: CRC Press, pp. 2-4, 1993.

• Identity Element
• Identity Function
• Identity Map
• Identity Matrix
• Identity Operator
• Idoneal Number
• Iff
• Ill-Conditioned
• Illumination Problem
• Illusion
• Image
• Imaginary Identity
• Imaginary Number
• Imaginary Part
• Imaginary Point
• Imaginary Quadratic Field
• Immanant
• Immersed Minimal Surface
• Immersion
• Impartial Game
• Implicit Function
• Implicit Function Theorem
• Implies
• Impossible Figure
• Impredicative