Sentence examples for extended the same results from inspiring English sources
Also, Rassias [4] extended the same results to linear mappings by considering an unbounded cauchy difference.
The modified Goodwin models contain a relatively low degree of nonlinearity compared to real system models, and we therefore extended this analysis to test if the same results are obtained from more complicated models.
bWe also ran the analyses regarding accuracy and reaction times on the CRT with the inclusion of the three original CRT items only (which were administered as the first three items of the extended scale), and we obtained essentially the same results as with the extended scale.
With sufficient sampling, the unscented and ensemble filters should yield the same results as the extended filter.
With respect to the mean mutual information extended infomax and the regression approach without raw average subtraction (EMCP w/s) yielded almost the same results.
Our results extend the same upper bounds for these problems over bipartite planar graphs known earlier.
To extend the results to th-order fuzzy differential equation, we can follow the proof of Theorem 4.2 to get the same results for derivatives of higher order.
The third experiment extends the same notion to relation annotation, resulting in a graph of entities and their relations per document, which gives rise to a more formalized notion of medical knowledge representation and personal knowledge management.
