For various geometric applications, it is enough to show that such N-coefficients prescribe a canonical nonholonomic frame structure (on the Lagrange spaces or on the Lagrange algebroid) as we shall do in the next subsection.
The coefficients are prescribed not to exceed the capacity, which limits the influence of potentially problematic points on the final result.
As a result, a general formula is derived for calculation of the design parameters of a planar four-bar linkage using the Fourier coefficients of the prescribed function.
An empirical parametrization was suggested by Twomey (1959a, 1959b) to calculate the activated CCN number concentration from the predicted supersaturation or vertical wind velocity and prescribed coefficients representing the ambient aerosol loading.
Similarly, we require that f o and l o are written as f o ( v ) = ∑ l = 1 L dom ∫ Ω o l F o, l v, l o ( v ) = ∑ l = 1 L dom ∫ Ω o l L o, l v, where F o, l : D → R and L o, l : D → R, for 1 ≤ l ≤ L dom, are prescribed coefficients.
where K o, l : D → R 3 × 3, 1 ≤ l ≤ L dom, are prescribed coefficients.3 In the parabolic case, we also may consider m o ( w, v ; μ ) = ∑ l = 1 L dom ∫ Ω o l w M o, l v, (15).
Otherwise, judgmental coefficients of variation are prescribed for purposes of demonstration.
Measured and predicted peak brine temperatures differed by as much as 5 °C when using prescribed literature coefficients without calibration.
The coefficients of dichotomous variables indicate how the condition mentioned increase (positive coefficients) or decrease (negative coefficient) the overall number of prescribed sick leave days.
Recently, we developed a new mathematical method to construct the BLF with given marginals and a prescribed correlation coefficient.
