Sentence examples for mathematical inversion from inspiring English sources

Then, these components can be extracted from the total NMR signal to form T 2 distribution using mathematical inversion.

The temperature and absorption coefficient profiles are determined from the measured spectra by a mathematical inversion method based on the equation of radiative transfer with Rayleigh scattering regime.

Magnetic resonance elastography (MRE) uses a phase-contrast MRI technique to image shear wave propagation in tissue followed by the mathematical inversion of the equations of motion governing tissue mechanics to noninvasively image tissue stiffness.

However, mathematical models of many flow and transport problems could only be obtained as Laplace space solutions, and hence, their computations had to involve a numerical inversion technique.

For this purpose we have exploited the emission spectra from 300 nm to 800 nm and a mathematical Abel inversion procedure.

By causing this output current to flow through appropriate components, further potential differences are obtained, and a wide variety of mathematical operations, including inversion, summation, differentiation, and integration, can be carried out on them.

Mathematical models for inversion-based local adaptation and/or speciation predict lower genetic diversity within species in the chromosomal region involved in speciation, and higher divergence between species [ 57, 58].

The mathematical model of the inversion algorithm does not include any terms in the form of Hankel functions, making the proposed reconstruction method computationally efficient.

Because of its mathematical formulation, the model inversion can be done analytically – which is rare – and parameter values can be estimated from experimental data.

Another parameter ε is originally adopted for only solving the mathematical problem of matrix inversion, but it also affects the accuracy of the proposed algorithm in the steady state.

The support vector regression (SVR) forward and inverse model are deduced with the quadratic kernel function, in which the quadratic kernel function is suitable for the mathematical formula in the inversion stage.