最終更新日：2025/12/03
(calculus) Any Taylor series that is centred at 0 (i.e., for which the origin is the reference point used to derive the series from its associated function); for a given infinitely differentiable complex function f, the power series f(0)+(f'(0))/(1!)x+(f(0))/(2!)x²+(f'(0))/(3!)x³+⋯=∑ₙ₌₀ ᪲(f⁽ⁿ⁾(0))/(n!),xⁿ.
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Maclaurin series
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元となった辞書の項目
Maclaurin series
名詞
(calculus)
Any
Taylor
series
that
is
centred
at
0
(i.e.,
for
which
the
origin
is
the
reference
point
used
to
derive
the
series
from
its
associated
function);
for
a
given
infinitely
differentiable
complex
function
f,
the
power
series
f(0)+(f'(0))/(1!)x+(f(0))/(2!)x²+(f'(0))/(3!)x³+⋯=∑ₙ₌₀ ᪲(f⁽ⁿ⁾(0))/(n!),xⁿ.
日本語の意味
（解析学）ある無限回微分可能な関数fについて、x=0を中心としたテイラー級数、すなわち、f(0) + (f'(0)/1!)x + (f''(0)/2!)x² + (f'''(0)/3!)x³ + ⋯という形で表現される級数。
意味（1）
(calculus)
Any
Taylor
series
that
is
centred
at
0
(i.e.,
for
which
the
origin
is
the
reference
point
used
to
derive
the
series
from
its
associated
function);
for
a
given
infinitely
differentiable
complex
function
f,
the
power
series
f(0)+(f'(0))/(1!)x+(f(0))/(2!)x²+(f'(0))/(3!)x³+⋯=∑ₙ₌₀ ᪲(f⁽ⁿ⁾(0))/(n!),xⁿ.
（ plural ）
