Sentence examples for generalised functions from inspiring English sources

The inhomogeneous breakage kernels were found to be well-represented by the generalised functions proposed by Diemer and Olson (2002); the function parameters indicated a breakage process tending towards erosion.

Using the theory of generalised functions within a 1D formulation of equations of motion, exact closed-form expressions are derived for beam dynamic Green's functions and frequency response functions under arbitrary polynomial load, for any number of dampers.

Generalised functions have been widely adopted in structural mechanics to treat singularities of beam-like structures.

Possibly, hot-spots represent genic regions of rice which have a more generalised function and cold-spots represent genic regions with more rice-specific functions.

In particular, by specifying the coupling between damage and plasticity in the dissipation function, a single generalised loading function that controls the simultaneous evolution of these dissipative mechanisms is obtained.

Using a compact yet accurate basis of atom-centred non-orthogonal generalised Wannier functions that are optimised in situ to their unique local chemical environment, the transmission and related properties of very large systems can be calculated efficiently and accurately.

The generalised volume function (V = b × G a ×MTH c ) gave the best fit to the data.

Of the two volume models tested, the generalised volume function (Equation 4) gave the best fit to the data.

However, the generalised cost function, and mode choice model, the national transport model did not allow further modifications in this respect.

We present a systematic study of asymptotic behaviour of (generalised) ζ-functions and heat kernels used in noncommutative geometry and clarify their connections with Dixmier traces.

The interictal facilitation in pain processing in patients with episodic migraine or cluster headache during the active phase but outside the attack, reflects a generalised defective function of the pain system, probably as a consequence of a genetic substrate.