Sentence examples similar to examination of periodic function from inspiring English sources

Known as the father of modern analysis, Weierstrass devised tests for the convergence of series and contributed to the theory of periodic functions, functions of real variables, elliptic functions, Abelian functions, converging infinite products, and the calculus of variations.

Note that the space of almost periodic functions contains the space of periodic functions.

Sums of periodic functions are in the intersection of the classes of quasi-periodic functions and sums of semi-periodic functions.

Hence, when such functions, obtained by using a combination of periodic functions, are not periodic, they are not without properties: they are almost periodic functions.

Reversely, a uniformly convergent series of periodic functions is a.p.

Due to the presence of periodic functions in Eq. (10), the objective function contained large amounts of the local minima.

What are the Fourier series coefficients of that periodic function?

Finally, under the "Periodic" model, the strength of interaction is a periodic function of the distance.

The space (mathcal{AP}) of almost periodic functions is the closure of quasi-periodic functions in (L^{p}_{mathrm{loc}}).

April 22, 1887 Copenhagen, Denmark January 22 , 1951Copenhagen, Denmark Harald August Bohr, (born April 22, 1887, Copenhagen, Den. died Jan . 22 1951, Copenhagen) Danish mathematician who devised a theory that concerned generalizations of functions with periodic properties, the theory of almost periodic functions.

Clearly, the interfacial energy is a periodic function of the bending slope.