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.
- Contraction (Graph)
- Contraction (Tensor)
- Contradiction Law
- Contravariant Tensor
- Contravariant Vector
- Control Theory
- Convective Acceleration
- Convective Derivative
- Convective Operator
- Convergence Acceleration
- Convergence Improvement
- Convergence Tests
- Convergent
- Thomsen Graph
- Thomsen's Figure
- Thomson Lamp Paradox
- Thomson Problem
- Thomson's Principle
- Thousand
- Three
- Three-Colorable
- Threefoil Knot
- Three-In-A-Row
- Three Jug Problem
- Three-Valued Logic