Sentence examples for be a periodic function from inspiring English sources

Let (f(x)) be a periodic function with period 2π and Lebesgue-integrable over ([-pi,pi]).

Let (f(t)) be a periodic function with period 2π and Lebesgue-integrable over ([-pi,pi]).

Let f be a non-constant meromorphic function of finite order, let c ∈ ℂ, and let a ∈ S f) {0} be a periodic function with period c.

(phi(t)) denotes the external concentration of inhibitors, and it is also assumed to be a periodic function, the period of which is ω.

Let (f(x)) be a periodic function with period 2π and Lebesgue-integrable over ([-pi,pi]), and let (tilde{S}_{k}^{prime}(x)) denote the partial sums of series (1.4).

Let (f:mathbb{R}rightarrowmathbb{R}) be a periodic function with the period T. Then we have int_{t}^{T+t}f(x),mathrm{d}x= int_{0}^{T}f(x),mathrm{d}x, quadforall tin mathbb{R}.

Note that since is periodic of period 1, is a periodic function with period, which corresponds to the spacing between two blocks of adjacent subcarriers.

Consequently, the graininess function satisfies and so, is a periodic function with period.

In the previous results, we find that the shared small function (a z)) is a periodic function with period c.

If (a z not equiv 0) is a periodic function with period c, then (Delta_{c} a z not equiv a z)).

Next, we consider the problem that related to the Theorem B, and have the following result, where a is a periodic function with period c.