検索結果- 英語 - 英語
検索内容:
Herbrand-Ribet theorem
name
(mathematics)
A
result
on
the
class
group
of
certain
number
fields,
strengthening
Ernst
Kummer's
theorem
to
the
effect
that
the
prime
p
divides
the
class
number
of
the
cyclotomic
field
of
p-th
roots
of
unity
iff
p
divides
the
numerator
of
the
n-th
Bernoulli
number
Bₙ
for
some
n,
0
<
n
<
p
−
1.
The
Herbrand–Ribet
theorem
specifies
what,
in
particular,
it
means
when
p
divides
such
an
Bₙ.
de Bruijn's theorem
name
(mathematics)
A
theorem
about
packing
congruent
rectangular
bricks
into
larger
rectangular
boxes
so
that
no
space
is
left
over.
It
states
that
a
"harmonic
brick"
(one
in
which
each
side
length
is
a
multiple
of
the
next
smaller
side
length)
can
only
be
packed
into
a
box
whose
dimensions
are
multiples
of
the
brick's
dimensions.
Sylvester-Gallai theorem
name
Mittag-Leffler's theorem
name
Gelfond-Schneider theorem
name
Liouville-Arnold theorem
name
In
dynamical
systems
theory,
a
theorem
stating
that
if,
in
a
Hamiltonian
dynamical
system
with
n
degrees
of
freedom,
there
are
also
known
n
first
integrals
of
motion
that
are
independent
and
in
involution,
then
there
exists
a
canonical
transformation
to
action-angle
coordinates
in
which
the
transformed
Hamiltonian
is
dependent
only
upon
the
action
coordinates
and
the
angle
coordinates
evolve
linearly
in
time.
Thus
the
equations
of
motion
for
the
system
can
be
solved
in
quadratures
if
the
canonical
transform
is
explicitly
known.
fundamental theorem of arithmetic
noun
Morley's trisector theorem
name
Siegel-Walfisz theorem
name
Hilbert's basis theorem
loading!
Loading...