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For example, one Javanese slendro octave has the following intervals expressed in cents (a unit of pitch measurement; 1,200 cents make 12 semitones or 1 octave): 246, 241, 219, 254, 246; another has 245, 237, 234, 245, 267.
Now, let φ and φ′ be two uniform random variables defined in the following intervals φ∈ [ 0,2π] and φ′∈ [α,α+2π], respectively.
DS was defined by applying Monte-Carlo simulations, and corresponded to the following intervals: sulfated-β-cyclodextrin concentration, 9 12 mM; methyl-β-cyclodextrin concentration, 29 38 mM; Britton Robinson buffer pH, 3.24 3.50; voltage, 12 14 kV.
In multiple runs, parameter ranges were decreased from [0.100] to the following intervals: K1 [0.1], k2 [0.1], k3 [0.0.5], k3/k4 [0.5], and VB [0.0.25], yielding the results reported in this paper.
Philolaus' scale thus consisted of the following intervals: 9 : 8, 9 : 8, 256 : 243 [these three intervals take us up a fourth], 9 : 8, 9 : 8, 9 : 8, 256 : 243 [these four intervals make up a fifth and complete the octave from our staring note].
Therefore, as (V_{L}) passes through the critical (V_{L}^{3*}) and decreases, the initial values for the existence of an order-2 limit cycle can only be in the following intervals: (y_{0}^in[Y_{m}^{2}, Y_{m}^{1}]) and (y_{1}^in[Y_{M}^{1}, Y_{M}^{2}]).
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The aim of this study was to determine whether women experience significant luteal phase hormonal changes following interval tubal sterilization.
Example 4.2 Consider the following interval-valued second-order differential equation with initial condition: D H 2, g X ( t ) = 2 D H 1, g X ( t ), X ( 0 ) = [ 2, 4 ], D H 1, g X ( 0 ) = [ 1, 3 ].
Consider the following interval-valued programming problem: begin{aligned}& mbox{minimize }f(x)=[1,2]sin^{2}x & quad mbox{subject to }g(x)= (sin x-1)^{2}- frac{1}{8} leq0, & quad hphantom{mbox{subject to }} xinbiggl 0,frac{pi}{2}biggr).
Example 4.1 Consider the following interval-valued second-order differential equation with initial condition: [ 2, 4 ] D H 2, g X ( t ) = [ 0, 2 ], X ( 0 ) = [ 1, 3 ], D H 1, g X ( 0 ) = [ 1, 3 ].
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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