harmonic analysis in a sentence
1) This is the basis of much harmonic analysis .
analysis collocations
2) These techniques are now basic in abstract harmonic analysis and representation theory.
3) They are important in representation theory and harmonic analysis as well as differential geometry.
harmonic analysis example sentences
4) Hewitt and Ross, "Abstract harmonic analysis , vol 1", 1963.5) Then a harmonic analysis is done on each component and summed in an ANOVA source table.
6) The l0-normed space is studied in functional analysis, probability theory, and harmonic analysis .
7) They are important in different branches of analysis, harmonic analysis and Partial differential equations among others.
8) The Dixmier reference (also available in English translation) has material on non-commutative harmonic analysis .
9) The Haar measures are used in harmonic analysis on arbitrary locally compact groups; see Pontryagin duality.
10) For tides, then, " harmonic analysis " is not limited to harmonics of a single frequency.
11) These multiples are called "harmonics" of the fundamental frequency, and the process is termed harmonic analysis .
12) Covering spaces play an important role in homotopy theory, harmonic analysis , Riemannian geometry and differential topology.
13) William Thomson (Lord Kelvin) led the first systematic harmonic analysis of tidal records starting in 1867.
14) Forget about harmonic analysis .
15) Current procedure for analysing tides follows the method of harmonic analysis introduced in the 1860s by William Thomson.
example sentences with harmonic analysis
16) In 2000 Jean Bourgain connected the Kakeya problem to arithmetic combinatorics which involves harmonic analysis and additive number theory.17) State land cover Park, S. 2008 harmonic analysis of long-term modis time-series data for vegetation dynamics in Hawaii.
18) All of these groups are locally compact, so they have Haar measures and can be studied via harmonic analysis .
19) This development leads to the Gelfand representation, which covers the commutative case, and further into non-commutative harmonic analysis .
20) The subsequent development of the field is known as harmonic analysis , and is also an early instance of representation theory.
21) Broadly speaking, the theory exists to abstract from these theories their content in terms of harmonic analysis and representation theory.
22) Lynn Loomis, "An Introduction to Abstract harmonic analysis ", D. van Nostrand and Co., 1953.
23) In the spring of 1947, Wiener was invited to a congress on harmonic analysis , held in Nancy, France.
24) Furthermore, in harmonic analysis , it is an example of a singular integral operator, and of a Fourier multiplier.
25) In mathematics, singular integral operators on closed curves arise in problems in analysis, in particular complex analysis and harmonic analysis .
26) To find which sinusoidals describe the data and to what degrees, a generalization of the harmonic analysis is applied to the residuals of the data.
27) A harmonic analysis (a type of regression analysis) is used to fit a model when the period or cycle length is known apriori.
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