항목
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Fourier series 푸리에 급수, フーリエ級数In mathematics, a Fourier series is a way to represent a (wave-like) function as the sum of simple sine waves. More formally, it decomposes any periodic function or periodic signal into the sum of a (possibly infinite) set of simple oscillating functions, namely sines and cosines (or...출처 영어 위키백과
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Taylor series 테일러 급수, テイラー展開In mathematics, a Taylor series is a representation of a function as an infinite sum of terms that are calculated from the values of the function's derivatives at a single point.The concept of a Taylor series was formulated by the Scottish mathematician James Gregory and formally introduced by...출처 영어 위키백과
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Puiseux series 퓌죄 급수In mathematics, Puiseux series are a generalization of power series, first introduced by Isaac Newton in 1676 and rediscovered by Victor Puiseux in 1850,Puiseux (1850, 1851) that allows for negative and fractional exponents of the indeterminate T. A Puiseux series in the indeterminate T is a...출처 영어 위키백과
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Laurent series 로랑 급수, ローラン級数In mathematics, the Laurent series of a complex function f(z) is a representation of that function as a power series which includes terms of negative degree. It may be used to express complex functions in cases where a Taylor series expansion cannot be applied. The Laurent series was named after...출처 영어 위키백과
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Dirichlet series 디리클레 급수, ディリクレ級数In mathematics, a Dirichlet series is any series of the form \sum_{n=1}^{\infty} \frac{a_n}{n^s}, where s is complex, and a is a complex sequence. It is a special case of general Dirichlet series.Dirichlet series play a variety of important roles in analytic number theory. The most usually seen...출처 영어 위키백과
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Binomial series 이항급수In mathematics, the binomial series is the Maclaurin series for the function f given by f(x)=(1+x)^{\alpha}, where \alpha \in \mathbb{C} is an arbitrary complex number. Explicitly, \begin{align} (1 + x)^\alpha &= \sum_{k=0}^{\infty} \; {\alpha \choose k} \; x^k \qquad\qquad\qquad (1) \\ &= 1...출처 영어 위키백과
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Telescoping series 망원급수, 畳み込み級数In mathematics, a telescoping series is a series whose partial sums eventually only have a fixed number of terms after cancellation. Such a technique is also known as the method of differences.For example, the series \sum_{n=1}^\infty\frac{1}{n(n+1)} (the series of reciprocals of pronic numbers...출처 영어 위키백과
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Trigonometric series 삼각급수, 三角级数A trigonometric series is a series of the form: A_{0}+\displaystyle\sum_{n=1}^{\infty}(A_{n} \cos{nx} + B_{n} \sin{nx}). It is called a Fourier series if the terms A_{n} and B_{n} have the form: A_{n}=\frac{1}{\pi}\displaystyle\int^{2 \pi}_0\! f(x) \cos{nx} \,dx\qquad (n=0,1,2,3 \dots) B_{n...출처 영어 위키백과
