===== Euclidean space ===== ==== Set ==== | @#55CCEE: context | @#55CCEE: $ n\in \mathbb N $ | | @#FFBB00: definiendum | @#FFBB00: $\mathbb E^n \equiv \langle d,\mathbb R^n\rangle $ | | @#AAFFAA: inclusion | @#AAFFAA: $d:\mathbb R^n\times \mathbb R^n\to \mathbb R_+ $ | | @#55EE55: postulate | @#55EE55: $d(x,y):=\left( \sum_{j=1}^n (x_j-y_j)^2 \right)^\frac{1}{2} $ | ==== Discussion ==== === Reference === Wikipedia: [[http://en.wikipedia.org/wiki/Euclidean_space|Euclidean space]] ==== Parents ==== === Subset of === [[Metric space]] === Context === [[Real coordinate space]]