analytic function
plural of decorum
(transitive) To make flat and level. / (transitive, obsolete) To equal or equate; to make the same. / (intransitive, obsolete) To be equal.
plural of theoriser
(mathematical analysis) Any smooth (infinitely differentiable) function f, defined on an open set D⊆ℂ( textit or⊆ℝ), whose value in some neighbourhood of any given point x_0∈D is given by the Taylor series ∑ₙ₌₀ ᪲(f⁽ⁿ⁾(x_0))/(n!)(x-x_0)ⁿ.
複素平面の開集合上で定義された解析関数は、その領域内の任意の点のまわりのテイラー級数によって完全に決定される。
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