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power series

/ˈpaʊər ˌsɪəriːz/

翻译: 数学概念,指形如 ∑aₙ(x-c)ⁿ 的无限项级数,用于将函数表示为具有无穷多项的多项式,广泛应用于数学分析中。

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phrase

/ˈpaʊər ˌsɪəriːz/C1formalscientific
  • zh数学概念,指形如 ∑aₙ(x-c)ⁿ 的无限项级数,用于将函数表示为具有无穷多项的多项式,广泛应用于数学分析中。

A mathematical concept representing an infinite series of terms in the form ∑aₙ(x-c)ⁿ, used to represent functions as polynomials with infinitely many terms, commonly applied in calculus and analysis.

  1. Mathematical seriesC2formal

    An infinite series of the form Σ aₙ(x-c)ⁿ, where aₙ represents coefficients, x is a variable, and c is a constant center point.

    zh幂级数

    • The power series expansion of e^x is Σ xⁿ/n!.
    • We used a power series to approximate the function near zero.
    • The radius of convergence determines where the power series is valid.