Sentence examples for based on functional equations from inspiring English sources

First, the general form of a physically valid crack growth model is derived based on functional equations.

The estimated cost function based on functional properties H2(n).

Research based on functional magnetic imaging (fMRI) scanning, suggests that the brains of psychopaths have different automatic responses.

Classifications are based on functional mobility.

Viscoelastic nanoindentation theories were then developed based on the functional equation method [44].

Transient indentation with an indenter was developed based on the functional equation methods [43], where the loading or traveling histories of the indenter need to be precisely programmed.

Abel's first papers, published in 1823, were on functional equations and integrals; he was the first person to formulate and solve an integral equation.

Based on Equation (33), Equation (30) can be obtained.

The calculations are based on the functional in Equation 14, comprising two terms, one representing the degree of smoothness of the map, the other the effects of adaptation.

We derive fundamental properties, recurrence relations and many new identities for these polynomials and numbers based on the generating functions, functional equations and differential equations.

Our model is based on three coupled equations: Poisson's equation, continuity equation, and transport equation.