Examples of using Fourier in English and their translations into Chinese
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Jean-Baptiste Joseph Fourier, yes the same Fourier we know from the Fourier series and transforms, observed Ohm's law relationship in heat conduction.
Jean-BaptisteJosephFourier，就是那位我们从傅里叶级数和变换中认识的傅里叶，观察到了热传导的欧姆定律关系。In 1978, John McKay found that the first few terms in the Fourier expansion of the normalized J-invariant(sequence A014708 in the OEIS).
年，约翰·马凯发现，归一化的J不变量的傅立叶展开的前几项系数：（OEIS中的数列A014708）.According to Fourier analysis, any physical signal can be decomposed into a number of discrete frequencies, or a spectrum of frequencies over a continuous range.
根据傅里叶分析，任何物理信号都可以分解成一些离散频率或连续范围的频谱。Fourier[list] takes a finite list of numbers as input, and yields as output a list representing the discrete Fourier transform of the input.
Fourier[list]取有限数列表作为输入，并产生结果当输出一个表示输入的离散傅立叶变换的列表。(In Fourier's case, he improperly generalized; I have done no such thing.).
在傅立叶的情况下，他不恰当地概括；我没有做过这种事。
Fourier's well-known heat equation, introduced in 1822, describes how temperature changes in space and time when heat flows through a material.
傅立叶闻名的热方程于1822年引进，描绘了当热量流经资料时，温度在空间和时间上的改变。For example, in Fourier analysis, the stimulus is written as the superposition of infinitely many sinusoids.
例如，在傅里叶分析中，刺激写成无穷多个正弦波的叠加。The quality of the inverter output waveform can be expressed by using the Fourier analysis data to calculate the total harmonic distortion(THD).
波形质量的逆变器输出可表示利用Fourier分析的数据来计算总谐波失真率（THD）。In the 19th century, Jean-Baptiste Joseph Fourier presented his theorem, which is known as the Fourier's theorem.
在19个世纪，让-巴蒂斯特·约瑟夫·傅立叶提出了他的理论，这被称为傅立叶定理。It makes widely available the techniques of Fourier analysis, which will have widespread applications in mathematics and throughout science.
它使得傅立叶分析的技术被广泛地利用，这将广泛应用于数学和整个科学领域。This type of resonator is in use in the Fourier analyzer, and is equivalent to the tone variator in its function.
这种共振器被用在傅里叶分析中，相当于方程中的音调变换器。Monsieur Fourier was of the opinion that the principle aim of mathematics is to serve mankind and to explain natural phenomena; but a philosopher.
Fourier先生认为，数学的主要目的是服务人类、解释自然现象。In the 1820s, Fourier did not have the technology to make the measurements needed to explore his hypothesis.
在1820s，傅立叶没有足够的技术，使需要探索自己设定的测量。
Fourier analysis converts a signal from its original domain(often time or space) to a representation in the frequency domain and vice versa.
傅里叶分析将信号从原始域（通常是时间或空间）转换到频域的表示或者逆过来转换。In mathematics, a Fourier series(/ˈfʊrieɪ,-iər/) is a way to represent a function as the sum of simple sine waves.
在数学中，傅里叶级数（Fourierseries,/ˈfɔərieɪ/）是把类似波的函数表示成简单正弦波的方式。It is obvious that r and f(c) are inversely proportional to each other, as required by Fourier theory.
很明显，r和f（c）是成反比彼此所要求的傅立叶理论。The usual formulation is not so concerned with holomorphic extensions as with the Fourier expansion directly.
常用公式并不像关心傅里叶那样直接关心全纯性的扩张。The list given in Fourier[list] can be nested to represent an array of data in any number of dimensions.
在Fourier[list]中给出的list可以嵌入表达一个任何维数的数据数组。I'm reminded of the invention of Fourier analysis, which mathematicians originally lambasted because it was not initially set on firm mathematical foundations.
我想起了傅立叶分析的发明，哪些数学家最初抨击，因为它最初没有建立在坚实的数学基础上。Just as German theoretical Socialism will never forget that it rests on the shoulders of Saint-Simon, Fourier.
他们说：“德国的理论上的社会主义永远不会忘记，它是站在圣西门、傅立叶和欧文这三个人肩上的。
