V2EX subspace

Subspace

Definition / 定义

subspace(名词)
1)在数学/物理中:子空间;指包含在某个更大空间中的空间(常见于线性代数中的“向量空间的子空间”)。
2)(科幻语境中常用)亚空间/次空间;指一种假想的“不同于普通空间的区域或维度”,常被用来解释超光速通信或航行等概念。

Pronunciation / 发音

/sb.spes/

Examples / 例句

This vector lies in the subspace spanned by these two basis vectors.
这个向量位于由这两个基向量张成的子空间中。

In linear algebra, a subspace must be closed under addition and scalar multiplication, which makes it a useful structure for simplifying complex problems.
在线性代数中,子空间必须对加法与数乘运算封闭,因此它能帮助我们把复杂问题简化成更易处理的结构。

Etymology / 词源

由 **sub-**(“在……之下、次级、从属”)+ space(“空间”)构成,字面意思是“更大空间之内/之下的空间”。该词在数学中被固定用来指“某空间的子集且仍满足空间结构的要求(如向量空间的运算封闭性)”;在科幻作品中则被借用并延伸为“与常规空间不同的层级或通道”。

Related Words / 相关词

Literary Works / 文学作品举例

  • Star Trek: The Next Generation Technical Manual(技术设定类书籍中多次使用 subspace 描述通信与航行概念)
  • Star Trek Encyclopedia(收录并解释 subspace 等系列核心术语)
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