harmonic analysis
noun
: the expression of a periodic function as a sum of sines and cosines and specifically by a Fourier series
Examples of harmonic analysis in a Sentence
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Classical harmonic analysis, which forms the foundation for signal processing in the real world, is all about decomposing signals into sine waves of different frequencies and phases.
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Quanta Magazine, 1 Apr. 2024
Professor Tao has authored more than 300 research papers on an amazingly wide swath of mathematics including harmonic analysis, partial differential equations, combinatorics, number theory, data science, random matrices and much more.
—Quanta Magazine, 1 Feb. 2024
The conjecture turns out to have implications not only for geometry, but also for harmonic analysis and the study of partial differential equations.
—Quanta Magazine, 23 Dec. 2023
Croot introduced powerful new methods from harmonic analysis — a branch of math closely related to calculus — to confirm the Erdős-Graham prediction.
—Quanta Magazine, 9 Mar. 2022
After introducing new ideas in harmonic analysis and obtaining important results in an area called Calderón-Zygmund operator theory in the 1970s, Meyer wandered to the fledgling study of wavelets in the mid-1980s.
—Quanta Magazine, 21 Mar. 2017
Quanta Magazine, 1 Apr. 2024
Professor Tao has authored more than 300 research papers on an amazingly wide swath of mathematics including harmonic analysis, partial differential equations, combinatorics, number theory, data science, random matrices and much more.
—Quanta Magazine, 1 Feb. 2024
The conjecture turns out to have implications not only for geometry, but also for harmonic analysis and the study of partial differential equations.
—Quanta Magazine, 23 Dec. 2023
Croot introduced powerful new methods from harmonic analysis — a branch of math closely related to calculus — to confirm the Erdős-Graham prediction.
—Quanta Magazine, 9 Mar. 2022
After introducing new ideas in harmonic analysis and obtaining important results in an area called Calderón-Zygmund operator theory in the 1970s, Meyer wandered to the fledgling study of wavelets in the mid-1980s.
—Quanta Magazine, 21 Mar. 2017
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“Harmonic analysis.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/harmonic%20analysis. Accessed 18 Apr. 2024.
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