English Explanatory Dictionary

complex projective line

English dictionary entry

Meanings

noun
  1. A complex line (especially, the set of complex numbers regarded as such) endowed with a point at infinity (thus becoming a projective line); (more formally) the set of equivalence classes of ordered pairs (α, β) of complex numbers, not both zero, with respect to the equivalence relation "(α, β) ≡ (λα, λβ) for all nonzero complex λ".

Word forms

complex projective line complex projective lines

Synonyms

extended complex numbers Riemann sphere

Related words

complex projective plane complex projective space projective coordinates projective line real projective line
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