Examples of using Fourier analysis in English and their translations into Russian
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Have you tried a Fourier analysis?
In Fourier analysis in particular, it is interesting to study the singular support of a distribution.
I don't know, but the Fourier analysis we did said it is.
The difference can be seen in making the connection with Fourier analysis.
I performed a Fourier analysis on the recording.
The recurring topic for the Fall 2016 is"Boolean Fourier Analysis.
In mathematics, the term Fourier analysis often refers to the study of both operations.
One could then re-synthesize the same sound by including the frequency components as revealed in the Fourier analysis.
Today, the subject of Fourier analysis encompasses a vast spectrum of mathematics.
SSA-related methods like ESPRIT can estimate frequencies with higher resolution than spectral Fourier analysis.
We used the following methods: Fourier analysis, exponential smoothing, decomposition of the price series.
In-focus regions of each image may be detected automatically,for example via edge detection or Fourier analysis, or selected manually.
In contrast with Fourier analysis with fixed basis of sine and cosine functions, SSA uses an adaptive basis generated by the time series itself.
Accurate determination of the wave parameters from the Fourier analysis of radio images of the sea surface.
In mathematics, Fourier analysis(/ˈfʊrieɪ,-iər/) is the study of the way general functions may be represented or approximated by sums of simpler trigonometric functions.
You know how we're always having to stop and solve differential equations,like when you're doing Fourier analysis, or using the Schrodinger equation?
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.
It offers a general purpose circuit simulator and can perform DC andtransient analyses, fourier analysis and AC analysis.
The multiangle lighting andintegrated proceeding of obtained images by highly specific Fourier analysis provide spatial high resolution of tooth surface measurement, and facilitate the automatic detection of shaded or low contrast band sites.
It isproved newsufficient conditions for Fourier multipliers that strengthen some known conditions andessentially extend the classes of functions which can be study by methods of Fourier analysis.
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.
Several other proofs are now known, the most important being those by Hillel Furstenberg in 1977, using ergodic theory, and by Timothy Gowers in 2001,using both Fourier analysis and combinatorics.
First, the applications of representation theory are diverse: in addition to its impact on algebra, representation theory:illuminates and generalizes Fourier analysis via harmonic analysis, is connected to geometry via invariant theory and the Erlangen program, has an impact in number theory via automorphic forms and the Langlands program.
Fourier analysis has many scientific applications- in physics, partial differential equations, number theory, combinatorics, signal processing, digital image processing, probability theory, statistics, forensics, option pricing, cryptography, numerical analysis, acoustics, oceanography, sonar, optics, diffraction, geometry, protein structure analysis, and other areas.
It supports standard image processing functions such as logical and arithmetical operations between images, contrast manipulation,convolution, Fourier analysis, sharpening, smoothing, edge detection and median filtering.
Key words: structure,textural analysis, Fourier transformation, filled polymers, iris.
Fourier and wavelet analysis techniques.
Using FFT(Fast Fourier Transform) analysis, the sound, going through Acxel, got broken into a certain number of sine waves up to 1024.
Poisson, Liouville, Fourier and others studied partial differential equations and harmonic analysis.
The Fourier variants can also be generalized to Fourier transforms on arbitrary locally compact Abelian topological groups, which are studied in harmonic analysis; there, the Fourier transform takes functions on a group to functions on the dual group.