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In the study of heat conduction, the Fourier number, is the ratio of time, , to a characteristic time scale for heat diffusion, . This dimensionless group is named in honor of J.B.J. Fourier , who formulated the modern understanding of heat conduction. [ 1 ]
Fourier series, a weighted sum of sinusoids having a common period, the result of Fourier analysis of a periodic function; Fourier analysis, the description of functions as sums of sinusoids; Fourier transform, the type of linear canonical transform that is the generalization of the Fourier series
A number of authors, notably Jean le Rond d'Alembert, and Carl Friedrich Gauss used trigonometric series to study the heat equation, [20] but the breakthrough development was the 1807 paper Mémoire sur la propagation de la chaleur dans les corps solides by Joseph Fourier, whose crucial insight was to model all functions by trigonometric series ...
Từ điển bách khoa Việt Nam (lit: Encyclopaedic Dictionary of Vietnam) is a state-sponsored Vietnamese-language encyclopedia that was first published in 1995. It has four volumes consisting of 40,000 entries, the final of which was published in 2005. [1] The encyclopedia was republished in 2011.
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The theorems proving that a Fourier series is a valid representation of any periodic function (that satisfies the Dirichlet conditions), and informal variations of them that don't specify the convergence conditions, are sometimes referred to generically as Fourier's theorem or the Fourier theorem. [40] [41] [42] [43]
Từ điển bách khoa toàn thư Việt Nam (Encyclopedia of Vietnam), a state-sponsored encyclopedia which was published in 2005. Vietnamese Wikipedia, a project of the Wikimedia Foundation. Vietnam War encyclopedias. Encyclopedic works and encyclopedias focused on Vietnam War-related topics.
In Fourier analysis, a multiplier operator is a type of linear operator, or transformation of functions. These operators act on a function by altering its Fourier transform. Specifically they multiply the Fourier transform of a function by a specified function known as the multiplier or symbol.