Sentence examples for using the periodicity from inspiring English sources

Equation (34) can be evaluated by an M-point IFFT for each m value and by a subsequent index-finding among the stored values using the periodicity of the complex exponential kernel with period M. Equations (35) and (37) require an M-point IFFT and an N-point IFFT, respectively, and subsequent index finding stages.

Integrating the first equation in (5) from 0 to T and using the periodicity of u0 t) and (4), we have.

If f ( x ) is a Fibonacci function, then lim x → ∞ f ( x + 1 ) f ( x ) = 1 + 5 2. In this section, we obtain several results on Fibonacci functions using the periodicity.

Multiplying the first equation of (4.2) by u, integrating over (Q_{omega}), and using the periodicity of u, we obtain underbrace{ iint_{ Q_{omega} } frac{partial u }{partial t} u,dx,dt }_{0} + iint_{ Q_{omega} } | nabla u | ^{2},dx,dt = iint_{ Q_{omega} } m(t) bigl u^{4}- u^{2}+L u^{2}bigr),dx,dt.

By this inequality, (20) and the definition of f 1, we have u 1 ( n ) ( t ) + M ( u 1 ( t ) − μ 1 ) ≥ ( M + ε 1 ) u 1 ( t ), t ∈ I. Integrating this inequality on I and using the periodicity of u 1, we get that M ∫ 0 ω u 1 ( t ) d t − ω M μ 1 ≥ ( M + ε 1 ) ∫ 0 ω u 1 ( t ) d t.

It was then extended to the whole fluid domain by using the periodicities of the structure and the incident waves along the length of the caissons.

Motion-based approaches use the periodicity of human gait or gait patterns for pedestrian detection [7, 12].

To find these unknown numbers, we use the periodicity property of the continuous and differentiable function x, i.e., (x -2)=x -20)) and (x'(-2)=x'(2+0)).

These guidelines were based on results from clinical trials and specified which screening tests should be used, the periodicity of screening, and the target population [ 10].

In this paper we discuss Fibonacci functions using the (ultimately) periodicity and we also discuss the exponential Fibonacci functions.

Moreover, they showed that if f is a Fibonacci function, then lim x → ∞ f ( x + 1 ) f ( x ) = 1 + 5 2. In this paper we discuss Fibonacci functions using the (ultimately) periodicity and we also discuss the exponential Fibonacci functions.