Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Fourier_analysis> ?p ?o }
- Fourier_analysis abstract "In mathematics, Fourier analysis (English pronunciation: /ˈfɔərieɪ/) is the study of the way general functions may be represented or approximated by sums of simpler trigonometric functions. Fourier analysis grew from the study of Fourier series, and is named after Joseph Fourier, who showed that representing a function as a sum of trigonometric functions greatly simplifies the study of heat transfer.Today, the subject of Fourier analysis encompasses a vast spectrum of mathematics. In the sciences and engineering, the process of decomposing a function into oscillatory components is often called Fourier analysis, while the operation of rebuilding the function from these pieces is known as Fourier synthesis. For example, determining what component frequencies are present in a musical note would involve computing the Fourier transform of a sampled musical note. One could then re-synthesize the same sound by including the frequency components as revealed in the Fourier analysis. In mathematics, the term Fourier analysis often refers to the study of both operations.The decomposition process itself is called a Fourier transformation. Its output, the Fourier transform, is often given a more specific name, which depends upon the domain and other properties of the function being transformed. Moreover, the original concept of Fourier analysis has been extended over time to apply to more and more abstract and general situations, and the general field is often known as harmonic analysis. Each transform used for analysis (see list of Fourier-related transforms) has a corresponding inverse transform that can be used for synthesis.".
- Fourier_analysis wikiPageExternalLink pdfbook.htm.
- Fourier_analysis wikiPageExternalLink fourier.html.
- Fourier_analysis wikiPageExternalLink aux-inttrans.htm.
- Fourier_analysis wikiPageExternalLink Lectures_on_Image_Processing.
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- Fourier_analysis wikiPageWikiLink Abelian_group.
- Fourier_analysis wikiPageWikiLink Acoustics.
- Fourier_analysis wikiPageWikiLink Alexis_Clairaut.
- Fourier_analysis wikiPageWikiLink Aliasing.
- Fourier_analysis wikiPageWikiLink Amplitude.
- Fourier_analysis wikiPageWikiLink Anisotropic.
- Fourier_analysis wikiPageWikiLink Anisotropy.
- Fourier_analysis wikiPageWikiLink Asteroid.
- Fourier_analysis wikiPageWikiLink Automatic_control.
- Fourier_analysis wikiPageWikiLink Babylonian_mathematics.
- Fourier_analysis wikiPageWikiLink Band-pass_filter.
- Fourier_analysis wikiPageWikiLink Bandpass_filter.
- Fourier_analysis wikiPageWikiLink Basis_(linear_algebra).
- Fourier_analysis wikiPageWikiLink Basis_vector.
- Fourier_analysis wikiPageWikiLink Bispectrum.
- Fourier_analysis wikiPageWikiLink Brady_Haran.
- Fourier_analysis wikiPageWikiLink Carl_Friedrich_Gauss.
- Fourier_analysis wikiPageWikiLink Category:Digital_signal_processing.
- Fourier_analysis wikiPageWikiLink Category:Fourier_analysis.
- Fourier_analysis wikiPageWikiLink Category:Integral_transforms.
- Fourier_analysis wikiPageWikiLink Category:Joseph_Fourier.
- Fourier_analysis wikiPageWikiLink Category:Mathematical_physics.
- Fourier_analysis wikiPageWikiLink Category:Mathematics_of_computing.
- Fourier_analysis wikiPageWikiLink Category:Time_series_analysis.
- Fourier_analysis wikiPageWikiLink Characteristic_function_(probability_theory).
- Fourier_analysis wikiPageWikiLink Chirplet_transform.
- Fourier_analysis wikiPageWikiLink Co-alignment.
- Fourier_analysis wikiPageWikiLink Coefficient.
- Fourier_analysis wikiPageWikiLink Coefficients.
- Fourier_analysis wikiPageWikiLink Combinatorics.
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- Fourier_analysis wikiPageWikiLink Convolution.
- Fourier_analysis wikiPageWikiLink Convolution_theorem.
- Fourier_analysis wikiPageWikiLink Cooley–Tukey_FFT_algorithm.
- Fourier_analysis wikiPageWikiLink Cross-correlation.
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- Fourier_analysis wikiPageWikiLink Cryptography.
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- Fourier_analysis wikiPageWikiLink Deferent_and_epicycle.
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- Fourier_analysis wikiPageWikiLink Differential_equation.
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- Fourier_analysis wikiPageWikiLink Discrete-time_Fourier_transform.
- Fourier_analysis wikiPageWikiLink Discrete_Fourier_transform.
- Fourier_analysis wikiPageWikiLink Discrete_Fourier_transform_(general).
- Fourier_analysis wikiPageWikiLink Discrete_cosine_transform.
- Fourier_analysis wikiPageWikiLink Discrete_sine_transform.
- Fourier_analysis wikiPageWikiLink Discrete_time_and_continuous_time.
- Fourier_analysis wikiPageWikiLink Eigenfunction.
- Fourier_analysis wikiPageWikiLink Eigenfunctions.
- Fourier_analysis wikiPageWikiLink Electromagnetic_interference.
- Fourier_analysis wikiPageWikiLink Ephemerides.
- Fourier_analysis wikiPageWikiLink Ephemeris.
- Fourier_analysis wikiPageWikiLink Equalization_(audio).
- Fourier_analysis wikiPageWikiLink Eulers_formula.
- Fourier_analysis wikiPageWikiLink FIR_filter.
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- Fourier_analysis wikiPageWikiLink Finite_impulse_response.
- Fourier_analysis wikiPageWikiLink Fourier-Bessel_series.
- Fourier_analysis wikiPageWikiLink Fourier-related_transforms.
- Fourier_analysis wikiPageWikiLink Fourier_series.
- Fourier_analysis wikiPageWikiLink Fourier_transform.
- Fourier_analysis wikiPageWikiLink Fourier_transform_ion_cyclotron_resonance.
- Fourier_analysis wikiPageWikiLink Fourier_transformation.
- Fourier_analysis wikiPageWikiLink Fourier–Bessel_series.
- Fourier_analysis wikiPageWikiLink Fractional_Fourier_transform.
- Fourier_analysis wikiPageWikiLink Frequency.
- Fourier_analysis wikiPageWikiLink Frequency_spectrum.
- Fourier_analysis wikiPageWikiLink Function_(mathematics).
- Fourier_analysis wikiPageWikiLink Gabor_transform.
- Fourier_analysis wikiPageWikiLink Generalized_Fourier_series.
- Fourier_analysis wikiPageWikiLink Geocentric_model.
- Fourier_analysis wikiPageWikiLink Geometry.
- Fourier_analysis wikiPageWikiLink Harmonic.
- Fourier_analysis wikiPageWikiLink Harmonic_analysis.
- Fourier_analysis wikiPageWikiLink Heat_conduction.
- Fourier_analysis wikiPageWikiLink Heat_equation.
- Fourier_analysis wikiPageWikiLink Heat_transfer.
- Fourier_analysis wikiPageWikiLink Image_processing.
- Fourier_analysis wikiPageWikiLink Inverse_function.
- Fourier_analysis wikiPageWikiLink JPEG.
- Fourier_analysis wikiPageWikiLink Jaggies.
- Fourier_analysis wikiPageWikiLink Jean_le_Rond_dAlembert.