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where α k = arg(c k ) denotes the polar angle of coefficient c k, and α s is the polar angle of the coefficient c s, s ≥ 1 with the second largest absolute value.
or, simply, by using the absolute values |C k |, where α k = arg(c k ) denotes the polar angle of coefficient c k, and c r and c s are the two coefficients with the largest and second largest absolute values (r ≥ 0, 0 < s < N/2).
or, simply, by using the absolute values |A k |, where α k = arg(c k ) denotes the polar angle of coefficient c k, and c r and c s are the two coefficients with the largest and second largest absolute values (r ≥ 0, 0 < s < N/2), and α s = arg(c s ) is the polar angle of c s.
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Some engineering characteristics such as: average length, diameter, the geometric mean diameter, surface area, sphericity, volume, 1000-seed weight, bulk and true densities, porosity, terminal velocity, angle of repose, coefficient of static friction and rupture strength were studied.
The design parameters are trust coefficients, power coefficient, angle of attack, angle of relative wind, drag and lift coefficients, axial and angular induction factors.
Some of the physical properties of castor nut were studied, namely: shape, size, surface area, angle of repose, static coefficient of friction and the behaviour of the nut under compressive loading.
The characteristics of the taper angle, effective coefficient of basal friction, and pore fluid pressure ratio along the Japan Trench presented in this study may contribute to the understanding of the relationship between the long-term, steady-state geometry of the prism and the potential for the generation of seismo-tsunamigenic slips.
The characteristics of the taper angle, effective coefficient of basal friction, and pore fluid pressure ratio along the Japan Trench presented herein may contribute to the understanding of the relationship between the geometry of the prism and the potential for generating seismo-tsunamigenic slips.
Linear regression was also calculated for proportion of individuals with adherence of greater than or equal to 95%% by groups (normality and homoscedasticity was examined) at baseline, and at 30, 60 and 90 days' follow-up, using the coefficient of straight-line angle and coefficient of determination (r).
Physico-mechanical parameters (bulk density, true density, angle of internal friction, static coefficient of friction and dynamic coefficient of friction) were considered as the dependent variables, and moisture content (8%, 12%, 16%, 20%) as the independent variable.
To better understand storage design requirements for hazelnuts, this research determined the physico-mechanical parameters (bulk density, true density, angle of internal friction, static coefficient of friction and dynamic coefficient of friction) of hazelnut varieties Tombul, Badem, Mincane, Çakıldak and Sivri, for different structural surfaces.
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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