Sentence examples for derived relating the from inspiring English sources

A dispersion relation was derived relating the vertical wavelength (λ m = 2π/m) and the horizontal wavelength (λ k = 2π/k) being:, where ω(= 2π/T) is the wave frequency of TEC disturbances, is the speed of sound, γ = 1.4 is the ratio of specific heats, g is the gravitational acceleration, H(= k B T/Mg) is the scale height, k is the horizontal wavenumber, and m is the vertical wavenumber.

Previous theoretical results have been derived relating the linear IV estimate to a weighted average of derivatives; this finding is similarly motivated, but the interpretation as a population-averaged causal effect is likely to be more familiar to an audience of applied researchers.

Explicit expressions are derived relating the L-moments and the input from experimental data.

Equations are derived relating the rate and equilibrium parameters for adsorption and reaction in a spherical pellet to measurable properties acquired in pulse response experiments.

Equations have been derived relating the rate and equilibrium parameters for adsorption and reaction on a single catalyst pellet to measurable properties of pulse-response experiments.

The influence of the parameters of the model on the optimum shapes is demonstrated and, for each model, formulae are derived relating the velocity of motion and the characteristics of the medium with the optimum angle.

The periods were derived relating to the beginning and the end of the roadwork performance at the sites treated.

The confidence of all the relations derived relating REC and RCF, spin time and hold time are high (in all cases P < 0.03).

Equations were derived relating risk and the proportion of the population (F) deemed to be at high risk on risk factor analysis, based on the formula for weighted average.

Various statistical inferences were derived related to regulations for the installation, service and operation of elevators.

The dynamic stiffness matrix is derived by relating the amplitudes of forces to those of the displacements at the beam ends.