欧几里得空间

Euclidean space

欧氏空间也称为欧几里得空间,是带有"内积"的实数域上的一类向量空间。引入内积的目的是能够计算两点间的距离和夹角。向量空间中的向量对应于欧几里得平面中的点,在向量空间中的加法运算对应于欧几里得空间中的平移。

Euclidean space, also known as Euclidean space, is a class of vector spaces with the real number of 'inner products'. The purpose of introducing the inner product is to calculate the distance and the angle between two points. The vectors in the vector space correspond to the points in the Euclidean plane, and the addition operations in the vector space correspond to the translations in the Euclidean space.