Sentence examples for unified form for the from inspiring English sources

Here, with a novel idea of circumventing the strong nonlinearity we show that it is possible to derive exact solutions in unified form for the whole class of elastic Hill materials.

Since the properties of the MVU FIR filter are in-between the UFIR and OFIR filters, a unified form for the UFIR filter can also be assumed.

A lengthy debate about the best estimator finally found a solution in a cornerstone work by Antoni, who proposed a unified form for the two families, thus allowing a detailed statistical study of their properties.

Consequently, some basic characteristics of 3-D wave motion in layered media (e.g., various surface waves) can then be identified in a unified form for the aforementioned different co-ordinate representations.

These examples not only verify the unified form, but also provide the way of how to determine the key functions of the unified form for different applications.

The OFIR-EU filter is derived in Section 3. Here, we also consider a unified form for different kinds of OFIR filters.

After referring to the treatise of Chalmers et al. and making minor modifications, we determined a unified form for assessing study quality that comprised four basic elements.

To verify the unified form, some applications of multi-scale top-hat transform based algorithms are integrated into the unified form by specifying the key functions of the unified form.

Germany, either in partial or unified form, have reached the final six times, winning three of them.

These definitions and notations being made, and for the sake of simplicity we consider in the sequel only the unified form P y ̃ y ̃ given by Equation (30) to deal with both the covariance and the STFD based methods.

Another feature of the present work is that both the Dirichlet and Neumann boundary conditions are accounted for in a unified form.