Word
subspace
Phoneticssub·space, stress on the first syllable
US/ˈsəbˌspeɪs/
UK/sˈʌbspeɪs/
Definition
n. a smaller space inside a larger space where the rules of the bigger space still work. In math, it is a set of points that follows the same rules as the whole space.
n. a subset of a vector space that is itself a vector space under the same operations. It must contain the zero vector and be closed under addition and scalar multiplication.
Examples
“The set of all solutions to this equation forms a subspace.”
“In linear algebra, we often look for a subspace that contains only the vectors that satisfy a specific condition.”
“The intersection of two subspaces is itself a subspace, provided that the original subspaces are defined over the same field and share the same dimensionality.”
Examples
simple
“The set of all solutions to this equation forms a subspace.”
contextual
“In linear algebra, we often look for a subspace that contains only the vectors that satisfy a specific condition.”
complex
“The intersection of two subspaces is itself a subspace, provided that the original subspaces are defined over the same field and share the same dimensionality.”
Etymology
From sub- + space.
From sub (“submissive”) + space (“state of mind”).
Etymology adapted from Wiktionary, available under CC BY-SA 4.0.
Domain
- Exam level
- CambridgeCambridgeCambridge English QualificationsThe exam suite from Cambridge University Press & Assessment, from A1 Movers up to C2 Proficiency. The benchmark names double as CEFR labels.C1 AdvancedIELTSIELTSInternational English Language Testing SystemThe 0–9 band test co-owned by the British Council, IDP, and Cambridge. Used for university entry, work, and migration.7.0–8.0TOEFL iBTTOEFL iBTTest of English as a Foreign Language, Internet-Based TestETS's academic English test, the standard route for US university admissions. Scored 0–120, with a 1–6 scale since 2026.1–6 scale: 5.0–5.595–113TOEICTOEICTest of English for International CommunicationETS's workplace English test, big in Japan and Korea. Listening & Reading scores 10–990 and tops out at C1.945–990
- Frequency
- Occasional
- Level
- C1 · Advanced
- Updated
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QR code
englishreference.com/q/subspace