seminorm
seminorm is the alternative spelling of semi-norm.
Meaning of semi-norm
Noun
semi-norm (plural semi-norms)
- A function denoted ∥v∥ that maps a vector v to a non-negative value such that ∥cv∥ = |c|.∥v∥, where c is a scalar, and ∥v + w∥ ≤ ∥v∥ + ∥w∥ (the triangle inequality); the condition that ∥v∥ = 0 implies that v = 0 is not required, but when it holds, the semi-norm is a norm.
- Synonyms:
- gauge
Forms of seminorm
| plural | seminorms |
|---|
Questions about seminorm
- What is seminorm the alternative spelling of?
- Seminorm is the alternative spelling of semi-norm.
Words near seminorm in the dictionary
Source and license
Adapted from Wiktionary: seminorm (page history and authors); semi-norm (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
Last updated:
Cite this entry: “seminorm.” Word.ws, https://word.ws/seminorm. Based on Wiktionary, CC BY-SA 4.0.
