Sentence examples for only derived for from inspiring English sources

This is expected as formula (65) was not only derived for long filters but also for small step-sizes, which are unavoidable for large filter lengths.

In addition, the Swift-Hohenberg equation was not only derived for one-dimensional models, furthermore, it is also well studied in high-dimensional models.

However, the different influence of different types of hydrometeors is not taken into account in this approach since the atmospheric visibility is measured during the occurrence of all types of hydrometeors but the pertinent models were only derived for specific atmospheric conditions like fog or even only for more specific types of fog [5, 6].

While here, signature curves were only derived for complete figural forms, in ongoing studies, we have began to use these tools to examine to what extent different movement segments have been generated from a common template.

Nevertheless, this only supports a limited number of input data types (derived from a few species, and, for human, only derived from SAGE experiments or from three Affymetrix microchip platforms), normalization methods and visualization options.

It should be noted that the first inequality in (27) is due to Bonnesen, and he only derived some inequalities for 2-dimensional case and never had any progress for higher dimensions or 2-dimensional surface of constant curvature.

Their method not only derived a more precise sufficient condition for detecting AZBs than Sousa's but also provided conditions for the early detection of PZBs with 34 and 16 zero-quantized coefficients in an 8×8 block.

A closed-form analytical equation for the normal depth computation can only be derived for triangular channels.

Note that a meaningful expression for the flexibility matrix F can only be derived for the beam element without rigid-body modes (Scott et al. 2004).

Since this lower bound can only be derived for continuous parameters, alternative measures using the principles of detection theory are introduced for problems concerning the estimation of discrete parameters such as atomic numbers.

The full range of pharmacokinetic parameters could therefore only be derived for the 14 subjects who received all three doses.