Tradução e análise de palavras por inteligência artificial ChatGPT
Nesta página você pode obter uma análise detalhada de uma palavra ou frase, produzida usando a melhor tecnologia de inteligência artificial até o momento:
- como a palavra é usada
- frequência de uso
- é usado com mais frequência na fala oral ou escrita
- opções de tradução de palavras
- exemplos de uso (várias frases com tradução)
- etimologia
quotient of power series - tradução para russo
математика
формальный ряд
Definição
Wikipédia
In mathematics, a power series (in one variable) is an infinite series of the form
where an represents the coefficient of the nth term and c is a constant. Power series are useful in mathematical analysis, where they arise as Taylor series of infinitely differentiable functions. In fact, Borel's theorem implies that every power series is the Taylor series of some smooth function.In many situations, c (the center of the series) is equal to zero, for instance when considering a Maclaurin series. In such cases, the power series takes the simpler form
Beyond their role in mathematical analysis, power series also occur in combinatorics as generating functions (a kind of formal power series) and in electronic engineering (under the name of the Z-transform). The familiar decimal notation for real numbers can also be viewed as an example of a power series, with integer coefficients, but with the argument x fixed at 1⁄10. In number theory, the concept of p-adic numbers is also closely related to that of a power series.
