Last Updated：2025/12/03

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(mathematical analysis) A truncated Taylor series; the sum of the first n terms of a Taylor series.

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Taylor polynomial

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Taylor polynomial

Noun

(mathematical analysis) A truncated Taylor series; the sum of the first n terms of a Taylor series.

Japanese Meaning

テイラー多項式：テイラー級数の最初の n 項（切り捨てた Taylor 展開）の和として、関数の近似を行うために用いられる数学的手法を指す。

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To approximate the function near zero, the engineer used a third-degree Taylor polynomial.

Google Translation / DeepL Translation

関数を零付近で近似するために、技術者は3次のテイラー多項式を用いた。

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Sense（1）

(mathematical analysis) A truncated Taylor series; the sum of the first n terms of a Taylor series.

For example, if Mⁿ=ℝⁿ and Nᵏ=ℝ, a singularity means the vanishing of the gradient, or equivalently, the linear terms of the Taylor's polynomial of some degree greater than 1. If one has a singularity, one may look at the second-order terms in the Taylor's polynomial.

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Taylor polynomials

（ plural ）

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Taylor polynomial

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Taylor polynomial

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