Examples of using Harmonic analysis in English and their translations into Ukrainian
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Approximation Theory; Harmonic Analysis.
Correlation invariants harmonic analysis for vectorial periodically non-stationary vibration signals.
This result is of fundamental importance in such fields as harmonic analysis.
It is of importance in harmonic analysis and asymptotic analysis.
In 1946, on the occasion of a conference in France at the Université de Nancy,he gave lectures on harmonic analysis.
(ILTPE) for work"Representation theory and harmonic analysis in quantum bounded symmetric domains".
All wavelet transforms may be considered to be forms of time-frequency representation and are, therefore,related to the subject of harmonic analysis.
Development of the methods and facilities for spatial harmonic analysis of technical objects' magnetic field;
All wavelet transforms may be considered forms of time-frequency representation for continuous-time(analog)signals and so are related to harmonic analysis.
Svitlana Mayboroda(born 1981), mathematician, educator, researching harmonic analysis and partial differential equations.
Many applications of harmonic analysis in science and engineering begin with the idea or hypothesis that a phenomenon or signal is composed of a sum of individual oscillatory components.
It suggested deep links between two areas, number theory and harmonic analysis, which had previously been considered unrelated.
That's because of the applications: communication theory, information theory, game theory, compressed sensing, machine learning,graph analysis, harmonic analysis.
Project: Linear analysis of a multibody system.[18] Harmonic analysis can show the peak response of a system under a load in a given range of frequencies.
In the 1980s, Vladimir Drinfel'd, a Ukrainian-born mathematician now at the University of Chicago in Illinois,and others proposed a similar connection between geometry and harmonic analysis.
Levin is concerned to the theory of entire functions, functional analysis, harmonic analysis, the theory of almost periodic and quasi-analytic functions.
Project: Harmonic analysis of an impeller.[19] Modal analysis can help determine the eigenfrequencies and eigenmodes of a structure due to free vibration. This image shows the contour plot of displacements.
The aim of the book is a systematic development, by example, of noncommutative harmonic analysis on infinite-dimensional(non-locally compact) matrix groups.
Methods of the theory of functions in a harmonic analysis and integral operators with a change”(state registration number 0106U001415, a leader of the theme is a professor E.A. Storozhenko, term of implementation of the theme is 2010-2015 years).
The name of the scientific project(2001-2009)that was made by the members of the department is“Optimization of inequalities in a harmonic analysis and in the approximation theory” under the contract with MES of Ukraine F7/329-2001.
Deborah Tepper Haimo(1921- 2007) was an American mathematician who became president of the Mathematical Association of America(MAA).[1] Her research concerned"classical analysis, in particular, generalizations of the heat equation,special functions, and harmonic analysis".[2].
He made his first research attempts in classical function theory and harmonic analysis, which"did not amount to much" but were"an excellent preparation for working in the theory of partial differential equations.".
These Fourier variants can also be generalized to Fourier transforms on arbitrary locally compact abelian topological groups,which are studied in harmonic analysis; there, one transforms from a group to its dual group.
A new magneto-metric method of the rotors of anisochronous engines quality checking,based on spatial harmonic analysis of the external magnetic field of the actuated rotor, providing efficient monitoring of quality of the rotors' hutches filling at mass productions has been designed.
In mathematics, more specifically in harmonic analysis, Walsh functions form a complete orthogonal set of functions that can be used to represent any discrete function- just like trigonometric functions can be used to represent any continuous function in Fourier analysis. .
Inspired by subsequent developments in Galois's theory,Langlands' approach allowed researchers to translate algebra problems into the‘language' of harmonic analysis, the branch of mathematics that breaks complex waveforms down into simpler, sinusoidal building blocks.
Theoretical elaborations in the area of spatial harmonic analysis of external magnetic field of technical object designed at the Centre, as well as methods and means of integrated transformations of their magnetic signatures allow increase essentially accuracy of simulation of three-dimensional magnetic field of technical objects and quality of their magnetic parameters definition.
Svitlana Mayboroda(born 1981) is a Ukrainian mathematician who works as a professor of mathematics at the Universityof Minnesota.[1] Her research concerns harmonic analysis and partial differential equations, including boundary value problems for elliptic partial differential equations.[2].
This approach is based on harmonic analysis and filtering of signals in the frequency domain using the Fourier transform, and spectral density estimation, the development of which was significantly accelerated during World War II by mathematician Norbert Wiener, electrical engineers Rudolf E. Kálmán, Dennis Gabor and others for filtering signals from noise and predicting signal values at a certain point in time.
Project: Dynamic nonlinear impact analysis of a human skull.[17] Multibody dynamics Harmonic analysis Modal analysis(frequency) Material Models This image shows a linear analysis of a multibody system.