n-维向量空间（n-dimensional vector space），在解析几何中有些事物的性质不能用一个数来刻画，如一个n元方程组的解是由n个数组成，而这n个数作为方程组的解是一个整体，分开来谈是 …

Dec 17, 2025 · Concepts related to five-dimensional spaces include super-dimensional or hyper-dimensional spaces, which generally refer to any space with more than four dimensions.

Mar 30, 2023 · For 5 dimensions can be generated by 5 basis vectors, e 1, e 2, e 3, e 4 and e 5 One of the most important applications of a Geometric Algebra based on 5D vector space is to …

Jun 30, 2020 · 问题是，一个向量空间可能有很多组不同的基，他们的大小如果不相等，那 dimension 就没法定义。 幸运的是，所有的基大小一定相等。

Dec 3, 2025 · The basic example is n-dimensional Euclidean space R^n, where every element is represented by a list of n real numbers, scalars are real numbers, addition is componentwise, …

Sep 19, 2014 · Each space Rn consists of a whole collection of vectors. R5 contains all column vectors with five components. This is called “5-dimensional space.” DEFINITION The space …

Oct 15, 2020 · In R programming language, a vector has no dimension property and is just a sequence with its elements being of the same type. You can give dimension attribute to a …

Jun 5, 2016 · Dimension of a Vector Space If V is spanned by a nite set, then V is said to be nite-dimensional, and the dimension of V , written as dim V , is the number of vectors in a basis for V .

Dec 17, 2025 · In mathematics, the dimension of a vector space V is the cardinality (i.e., the number of vectors) of a basis of V over its base field. [1][2] It is sometimes called Hamel …

Jul 23, 2025 · The dimension of a vector space is the number of vectors in its basis, which represents the minimum number of independent directions needed to describe any vector in …