Last Updated：2025/11/26
(mathematical analysis) A k-cell which is a Cartesian product of half-closed intervals which are closed at their infima and open at their suprema, and such that the infimum of each interval is the coordinate of a given point (called the corner
of the δ-box), and the length (i.e., measure) of each interval is equal to (the given value) δ.
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δ-box
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Source Word
δ-box
Noun
(mathematical
analysis)
A
k-cell
which
is
a
Cartesian
product
of
half-closed
intervals
which
are
closed
at
their
infima
and
open
at
their
suprema,
and
such
that
the
infimum
of
each
interval
is
the
coordinate
of
a
given
point
(called
"the
corner"
of
the
δ-box),
and
the
length
(i.e.,
measure)
of
each
interval
is
equal
to
(the
given
value)
δ.
Japanese Meaning
数学的解析において、δ-boxとは、各成分が半閉区間（下端は閉じ、上端は開いている区間）で構成されるデカルト積として表されるk-セルであり、各半閉区間の下端点が特定の点の座標（『コーナー』と呼ばれる）で固定され、各区間の長さ（すなわち測度）が与えられた値δに等しいものを指す。
Sense（1）
(mathematical
analysis)
A
k-cell
which
is
a
Cartesian
product
of
half-closed
intervals
which
are
closed
at
their
infima
and
open
at
their
suprema,
and
such
that
the
infimum
of
each
interval
is
the
coordinate
of
a
given
point
(called
"the
corner"
of
the
δ-box),
and
the
length
(i.e.,
measure)
of
each
interval
is
equal
to
(the
given
value)
δ.
（ plural ）
