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検索内容:
Titchmarsh convolution theorem
name
Goddard-Thorn theorem
Kodaira vanishing theorem
name
Wigner-Eckart theorem
name
A
theorem
of
representation
theory
and
quantum
mechanics,
stating
that
matrix
elements
of
spherical
tensor
operators
on
the
basis
of
angular
momentum
eigenstates
can
be
expressed
as
the
product
of
two
factors,
one
of
which
is
independent
of
angular
momentum
orientation,
and
the
other
a
Clebsch-Gordan
coefficient.
Löwenheim-Skolem theorem
name
(mathematical
logic)
A
theorem
stating
that,
if
a
countable
first-order
theory
has
an
infinite
model,
then
for
every
infinite
cardinal
number
κ
it
has
a
model
of
size
κ.
The
result
implies
that
first-order
theories
are
unable
to
control
the
cardinality
of
their
infinite
models,
and
that
no
first-order
theory
with
an
infinite
model
can
have
a
unique
model
up
to
isomorphism.
Knaster-Tarski theorem
name
four color theorem
name
(graph
theory)
A
theorem
stating
that
given
any
separation
of
a
plane
into
contiguous
regions,
producing
a
figure
called
a
map,
no
more
than
four
colors
are
required
to
color
the
regions
so
that
no
two
adjacent
regions
have
the
same
color
(adjacent
being
defined
as
two
regions
sharing
a
boundary,
not
counting
corners,
in
which
three
or
more
regions
share
a
boundary).
Tarski-Seidenberg theorem
name
Harnack's curve theorem
name
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