fourier series in English

noun
1
an infinite series of trigonometric functions that represents an expansion or approximation of a periodic function, used in Fourier analysis.
Hardy's interests covered many topics of pure mathematics - Diophantine analysis, summation of divergent series, Fourier series , the Riemann zeta function, and the distribution of primes.

Use "fourier series" in a sentence

Below are sample sentences containing the word "fourier series" from the English Dictionary. We can refer to these sentence patterns for sentences in case of finding sample sentences with the word "fourier series", or refer to the context using the word "fourier series" in the English Dictionary.

1. See convergence of Fourier series for further details.

2. Let φ be a function on the unit circle with absolutely convergent Fourier series.

3. The Rieman-Stieltjes integral, uniform convergence of series and integrals, power series and Fourier series.

4. Then 1/φ has absolutely convergent Fourier series if and only if φ has no zeros.

5. The periodicity of the phase angles permits approximation of the behaviour rule by a finite Fourier series.

6. The potentials result as Fourier series ofn terms; their coefficients are determined from the numerical solution of a 10×n algebraic equations system.

7. The system is forced by a function that represents the contraction of the adductor muscle, in this case a Fourier series defining a half wave rectified sine wave.