Sentence examples for means of equations from inspiring English sources

The uncertainty products ( Δ q ̂ j ) s ( Δ p ̂ j ) s between charges and their conjugate currents can be easily identified by means of Equations 67 to 70.

Motions of particles in a force field, stationary distributions of temperatures, and many other phenomena can be modeled by means of equations of the form x ″ = f ( t, x ).

If the delay impairment factor is not considered, the rating can be mapped to listening quality MOS by means of equations described in ITU-T Recommendation G.107 Annex B [25].

The determinations of the plasmatic creatinine and its clearance or the estimate of the glomerular filtration rate by means of equations derived from the creatinine are the methods most often used in order to measure renal function, although not without problems in pre-dialysis.

Therefore, by means of equations (8), (10) and (11), we can easily write B n ( N ) ( x ) as a linear combination of the Bernoulli polynomials B n − k ( x ), k = 0, …, N − 1 with n ≥ N. In this paper we deal with the following.

Accurate prediction of end-diastolic filling pressures by means of equations that subtract a component of pleural pressure from PAWP have not been demonstrated to be consistently reliable, however [ 16, 18].

Calculation of E r,ω) at any observation point by means of Equation 4.   8.

The mean squared error is obtained by means of Equation 11, where Z is replaced by the corrected values v ∘.

The adhesion energy was calculated beforehand by means of equation 3, which relates it to the pull-off force.

Calculation of E r,ω) at any observation point by means of Equation 4. Inverse Fourier transformation of E r,ω), yielding time series E r,t).

However, in practice the determination of the coefficients C m,r and D m,r by means of Equation 11 may be complicated.