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検索内容:
rank-nullity theorem
noun
parallel axis theorem
noun
perpendicular axis theorem
noun
(physics)
A
theorem
that
states
the
moment
of
inertia
of
a
planar
lamina
(i.e.
2-D
body)
about
an
axis
perpendicular
to
the
plane
of
the
lamina
is
equal
to
the
sum
of
the
moments
of
inertia
of
the
lamina
about
the
two
axes
at
right
angles
to
each
other,
in
its
own
plane
intersecting
each
other
at
the
point
where
the
perpendicular
axis
passes
through
it.
Ax-Kochen theorem
name
Ax-Grothendieck theorem
name
(mathematics)
A
result
about
injectivity
and
surjectivity
of
polynomials,
often
given
as
this
special
case:
If
P
is
an
injective
polynomial
function
from
an
n-dimensional
complex
vector
space
to
itself
then
P
is
bijective.
The
full
theorem
generalizes
to
any
algebraic
variety
over
an
algebraically
closed
field.
Helly's selection theorem
name
Helly-Bray theorem
name
Gibbard-Satterthwaite theorem
name
A
theorem
dealing
with
deterministic
ordinal
electoral
systems
that
choose
a
single
winner,
stating
that
for
every
voting
rule,
one
of
the
following
three
things
must
hold:
(i)
the
rule
is
dictatorial,
i.e.
there
exists
a
distinguished
voter
who
can
choose
the
winner;
or
(ii)
the
rule
limits
the
possible
outcomes
to
two
alternatives
only;
or
(iii)
the
rule
is
susceptible
to
tactical
voting:
in
certain
conditions
some
voter's
sincere
ballot
may
not
defend
their
opinion
best.
Feit-Thompson theorem
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