最終更新日：2024/08/06
(mathematics) A theorem expressing the number of distinct real roots of p located in an interval in terms of the number of changes of signs of the values of the Sturm sequence at the bounds of the interval. Applied to the interval of all the real numbers, it gives the total number of real roots of p.
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Sturm's theorem
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Sturm's theorem
name
(mathematics)
A
theorem
expressing
the
number
of
distinct
real
roots
of
p
located
in
an
interval
in
terms
of
the
number
of
changes
of
signs
of
the
values
of
the
Sturm
sequence
at
the
bounds
of
the
interval.
Applied
to
the
interval
of
all
the
real
numbers,
it
gives
the
total
number
of
real
roots
of
p.
意味（1）
(mathematics)
A
theorem
expressing
the
number
of
distinct
real
roots
of
p
located
in
an
interval
in
terms
of
the
number
of
changes
of
signs
of
the
values
of
the
Sturm
sequence
at
the
bounds
of
the
interval.
Applied
to
the
interval
of
all
the
real
numbers,
it
gives
the
total
number
of
real
roots
of
p.
