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where neurons are assumed to have the same decay constant: L = l I d ; u is a periodic continuous input (it replaces u ext in the previous section); σ, ϵ 1, ϵ 2, κ ∈ R + with ϵ 1, ϵ 2 ≪ 1 and B ( t ) is n-dimensional Brownian noise.
This resulted in a periodic, continuous signal displaying only the expiratory phase of the breathing cycle.
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In the third one, a micromechanical analysis for periodic continuous fiber composites in which all fibers are perfectly bonded to the surrounding matrix provides the elastic field within the phases.
A discussion of various types of data including periodic, continuous non-stationary and transient non-stationary signals, are used to show practical aspects of wavelet compression.
Rugate filters were simulated with periodic, continuous transition between the low and high refractive indices, resulting in a narrow stop band gap.
Let f be a 2-periodic continuous function and x be a 2-periodic solution of (1).
Lazer and Solimini in [7] considered in 1987 problems of periodic solutions for the equation with a singularity suggested by the two fundamental examples x"+frac{1}{x^{alpha}}=h(t) (1.1) (attractive restoring force) and x -frac{1}{x -frac{1}{h(t) (1.2) (repulsive restoring force), where (alpha>0) is a constant and (h: mathbb{R}rightarrowmathbb{R}) is a T-periodic continuous function.
Instead, forced oscillations (FOs) originate from periodic, continuous, small disturbances in the system [8, 9].
Forced oscillations (FOs), or low-frequency oscillations (LFOs) caused by periodic, continuous, small power disturbances, threaten the security and stability of power systems.
The obtained criteria can be applied to design globally exponential stability of periodic continuous and discrete fuzzy Cohen-Grossberg BAM neural networks.
A function f belongs to the Hölder class (C^{beta}(mathbb{T})) with (beta>0), if f is a 2π-periodic continuous function such that f is n times continuously differentiable and there exists a positive number C satisfying biglvert f^{(n)}(x -f^{(n)}(y)bigrvert leq Cvert x -f^{rt ^{beta-n} y bigrvert,y inmathbb{T}), where n is the leqgest integer suCvertat (nleqbeta).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com