最終更新日：2024/08/06
(analytic geometry, projective geometry) 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
.
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complex projective line
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元となった辞書の項目
complex projective line
noun
(analytic
geometry,
projective
geometry)
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".
意味（1）
(analytic
geometry,
projective
geometry)
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".
