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The amplitudes of the harmonics were not monotonous functions on the bias field H and grew with the increase in the alternating field h.
Although Definition 7 refers to 'fluctuation,' (|M_{i}^{w} (G |) is also defined for non-cyclical and, in particular, monotonous functions x ic (t).
Remark 4.6 From (16), it is clear that μ s, q ( x, y, Φ i, Ω ) ( i = 1, 2 ) for Ω = Ω 1, Ω 2, Ω 3 and Ω 4 are monotonous functions in parameters s and q.
Interestingly, the considerable increases of c P reported in this work appear to be monotonous functions of nanoparticle volume fraction in the entire range of volume fractions studied (up to 2.5 wt.%).
Nevertheless, the cost of piecewise differentiability rests, as is well-known, in the eventual loss of generality for the neglect of those monotonous functions that represent potential candidates for the solution, despite not being piecewise differentiable.
But piecewise differentiability comes to be also important in ensuring that the candidate monotonous functions satisfy the provisos needed for the solution to be well-behaved, in the sense of sufficiently regular to involve a clear-cut economic interpretation on every point of its relevant domain.
Similar(54)
However, this utility function is not a monotonous function of α −k.
The MSE of the iterative estimator has been analyzed as a monotonous function of the SER.
First, we prove that the power is monotonous function of the price under the two extreme cases.
Since log a ·, a>1, is a monotonous function, the problem is equivalent to arg Ω max ρ ( t ).
As S ω is a strictly monotonous function of W ω, we can write h(s ω )ds ω = g(w ω )dw ω.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com