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Power series
Ciro Santilli
(
@cirosantilli,
37
)
Mathematics
Area of mathematics
Calculus
Series (mathematics)
Updated
2025-07-16
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Table of contents
Analytic function
Power series
Sine and cossine
Analytic function
Sinusoidal
Sine and cossine
Sine
Sine and cossine
Cosine
Sine and cossine
Radius of convergence
Power series
Taylor series
Power series
Analytic function
0
0
0
Power series
Sine and cossine
0
0
0
Analytic function
Sinusoidal
0
0
0
Sine and cossine
Tags:
Periodic function
A
function that is either
a
sine
or
cosine
,
i
.e.
we
don'
t
know or care where the origin is exactly.
This is particularly relevant in
electronics
, where the
oscilloscope
'
s
time
origin is set to match the
wave
.
Sine
0
0
0
Sine and cossine
Cosine
0
0
0
Sine and cossine
Radius of convergence
0
1
0
Power series
Taylor series
0
1
0
Power series
Ancestors
(5)
Series (mathematics)
Calculus
Area of mathematics
Mathematics
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Power series
by
Wikipedia Bot
0
View more
A
power series
is
a
type of infinite
series
of the form
: \[
f
(
x
) = \sum_{
n
=
0
}^{\infty}
a
_
n
(
x
-
c
)^
n
\] where \(
a
_
n
\) are the
coefficients
of the
series
, \(
c
\) is
a
constant (often referred to
as
the center of the
series)
, and \(
x
\) is
a
variable.
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