How to Use harmonic analysis in a Sentence
harmonic analysis
noun-
In harmonic analysis, there’s a constellation of questions about how the energy of a wave concentrates.
—Kevin Hartnett, Quanta Magazine, 1 Aug. 2025
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Apple has rebuilt Chord ID to make harmonic analysis more accurate.
—Prakhar Khanna, Forbes.com, 30 June 2026
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One class in particular caught her eye — a graduate course in Fourier restriction theory, a branch of harmonic analysis.
—Kevin Hartnett, Quanta Magazine, 1 Aug. 2025
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Out of the Fourier transform grew an entire field of mathematics, called harmonic analysis, which studies the components of functions.
—Shalma Wegsman, Quanta Magazine, 3 Sep. 2025
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Mathematicians have also found that harmonic analysis has deep and unexpected connections to number theory.
—Shalma Wegsman, Quanta Magazine, 3 Sep. 2025
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The Mizohata-Takeuchi conjecture is a problem in harmonic analysis, a field that studies how functions are assembled from wavelike components.
—Kevin Hartnett, Quanta Magazine, 1 Aug. 2025
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Soon enough, mathematicians began to discover deep connections between harmonic analysis and other areas of math and physics, from number theory to differential equations to quantum mechanics.
—Shalma Wegsman, Quanta Magazine, 3 Sep. 2025
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George Darwin, second son of the famous naturalist, modified and improved the harmonic analysis and published several articles on tides throughout the 1880s.
—IEEE Spectrum, 2 June 2024
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This was on full display in one of my favorite articles of the year, an account by Kevin Hartnett of how a mathematician named Hannah Cairo solved an important problem in the field of harmonic analysis — at just 17 years old.
—Jordana Cepelewicz, Quanta Magazine, 18 Dec. 2025
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Logic Pro and MainStage benefit from a rebuilt Chord ID for accurate harmonic analysis and a new granular sync mode in Alchemy, expanding sound design capabilities.
—Prakhar Khanna, Forbes.com, 30 June 2026
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In 1874 in the United States, William Ferrel, a mathematician with the Coast and Geodetic Survey, developed a similar harmonic analysis and prediction device that used 19 harmonic constituents.
—IEEE Spectrum, 2 June 2024
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In the 1920s, Arthur Doodson of the Tidal Institute of the University of Liverpool, in England, and Paul Schureman of the Coast and Geodetic Survey further refined techniques for harmonic analysis and prediction that served for decades.
—IEEE Spectrum, 2 June 2024
Some of these examples are programmatically compiled from various online sources to illustrate current usage of the word 'harmonic analysis.' Any opinions expressed in the examples do not represent those of Merriam-Webster or its editors. Send us feedback about these examples.
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