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.
- Diophantine Equation--Linear
- Diophantine Equation nth Powers
- Diophantine Equation--Quadratic
- Diophantine Equation--Quartic
- Diophantine Quadruple
- Diophantine Set
- Diophantus Property
- Diophantus' Riddle
- Dipyramid
- Dirac Delta Function
- Dirac Matrices
- Dirac's Theorem
- Directed Angle
- Directed Graph
- Directional Derivative
- Direction Cosine
- Directly Similar
- Director Curve
- Direct Product (Group)
- Direct Product (Matrix)
- Direct Product (Set)
- Direct Product (Tensor)
- Directrix (Conic Section)
- Directrix (Graph)
- Directrix (Ruled Surface)