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検索内容:
Thales's theorem
name
Romanov's theorem
name
Hjelmslev's theorem
name
Maharam's theorem
name
(mathematics)
A
result
about
the
decomposability
of
measure
spaces,
playing
an
important
role
in
the
theory
of
Banach
spaces.
In
brief,
it
states
that
every
complete
measure
space
is
decomposable
into
"non-atomic
parts"
(copies
of
products
of
the
unit
interval
[0,1]
on
the
reals),
and
"purely
atomic
parts",
using
the
counting
measure
on
some
discrete
space.
Pasch's theorem
name
Zermelo's theorem
name
Thue's theorem
name
Roth's theorem
name
Clausius theorem
name
A
theorem
stating
that,
for
a
thermodynamic
system
exchanging
heat
with
external
reservoirs
and
undergoing
a
thermodynamic
cycle,
∮(𝛿Q)/(T_surr)≤0,,
where
𝛿Q
is
the
infinitesimal
amount
of
heat
absorbed
by
the
system
from
the
reservoir,
and
T_surr
is
the
temperature
of
the
external
reservoir
(surroundings)
at
a
particular
instant
in
time.
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