Source Word
Hasse diagram
Noun
(set
theory)
A
diagram
which
represents
a
finite
poset,
in
which
nodes
are
elements
of
the
poset
and
arrows
represent
the
order
relation
between
elements.
Transitivity
of
the
order
relation
is
tacit,
in
other
words,
if
x<y
and
y<z
then
no
arrow
is
drawn
from
x
to
z,
but
if
there
is
no
distinct
z
between
x
and
y
(such
that
x<z<y)
then
an
arrow
is
draw
from
x
to
y.
Japanese Meaning
ハッセ図：有限な順序集合（ポセット）の各要素を点で表し、その順序関係を矢印で示す図。順序関係の推移性（すなわち、ある要素間に中間の要素が存在しない場合にのみ矢印が描かれる）が暗黙の前提となっている。
Sense（1）
(set
theory)
A
diagram
which
represents
a
finite
poset,
in
which
nodes
are
elements
of
the
poset
and
arrows
represent
the
order
relation
between
elements.
Transitivity
of
the
order
relation
is
tacit,
in
other
words,
if
x<y
and
y<z
then
no
arrow
is
drawn
from
x
to
z,
but
if
there
is
no
distinct
z
between
x
and
y
(such
that
x<z<y)
then
an
arrow
is
draw
from
x
to
y.
（ plural ）
