complex lines
complex lines is the plural of complex line.
Meaning of complex line
Noun
complex line (plural complex lines)
- A 1-dimensional affine subspace of a vector space over the complex numbers.
- However, it is possible to characterize the real parts of holomorphic functions of several variables at least locally as those continuous functions such that their restrictions to all complex lines, not just to complex lines parallel to the coordinate axes, are real parts of holomorphic functions....1990, R. C. Gunning, Introduction to Holomorphic Functions of Several Variables, Volume 1 Function Theory, Wadsworth & Brooks/Cole, page 102
- Synonyms:
- complex plane
Questions about complex lines
- What is complex lines the plural of?
- Complex lines is the plural of complex line.
Words near complex lines in the dictionary
Source and license
Adapted from Wiktionary: complex lines (page history and authors); complex line (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.
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Cite this entry: “complex lines.” Word.ws, https://word.ws/complex_lines. Based on Wiktionary, CC BY-SA 4.0.