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The beam is assumed to be coaxial with respect to the cylinder, so the angular momentum of the beam is zero (l = 0).
In this equation, t 0 represents the theoretical age at length zero, L ∞ is the asymptotic length and L t is the length at age.
This Laplace transform is given in Equation 3, where it is assumed that any initialization is zero L 0 d t q x ( t ) = s q X ( s ) for all q (3).
Proof First, we note that L, as defined, is Fredholm of index zero, L 1 − 1 is compact by the Arzela-Ascoli theorem and thus L − λ N is A-proper for λ ∈ [ 0, 1 ] by [[20], Lemma 2(a)].
If the auto-correlation of the input signal is zero, L is the half-width of the CMIF peak.
As Ω rises from zero, L e also increases monotonically from zero, and as Ω → 1−, L e becomes arbitrarily large.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com