Sentence examples for considerably for example from inspiring English sources

Also, when the graph of the interpolated function differs from the shape of the polynomial considerably, for example (f(x)) = 1/(x), interpolation is very hard because of existing local extrema and the roots of the polynomial.

Bach edited her writing considerably, for example in movement 4, excising two lines of four and rephrasing the others.

First, estimates of the amount of copy number variation differ considerably: for example the fraction of the mouse genome estimated to be copy number variant ranges from 3% [6] to 10.7% [5].

Since its introduction, the application of OPT has been broadened considerably, for example, having being adapted to the study of β-cells in the diabetic mouse pancreas, and the development of neuronal structures in human tissue samples[10].

Additionally, averaging of multiple scans can improve image quality considerably, for example in polarization sensitive OCT [ 38].

Across facilities, the proportion of visits in which HIV/STI and MCH services were received varied considerably, for example, from 9% to 49% in 2009.

If democracy means merely "rule by the majority" then the minorities can suffer considerably; as, for example, in Northern Ireland where a Protestant majority discriminated against a Catholic minority for several decades.

Many City economists think the increase will be considerably less; for example, Mr Butler thinks that rates will rise only a further quarter-point to 4% next year, because of the greater sensitivity of households to higher debt.

Some special cases of this, the corresponding max-type difference equation or related equations has been studied considerably (see, for example, [1, 2, 5, 12, 16 21, 30, 31] and the references therein).

Within the last decade, reports of new TAG accumulating species of Rhodocococcus have considerably increased, for example R. ruber, R. fascians, R. erythropolis, R. jostii, R. aetherivorans IAR1, R. sp 602 and R. sp. A5 (Alvarez et al. 1997a, 2000; Kalscheuer et al. 2001; Alvarez 2003; Hernandez et al. 2008; Hori et al. 2009; Silva et al. 2010; Bequer Urbano et al. 2013).

It is known as the Calkin category of the field k, and its construction can be considerably generalized (for example, one can start with perfect modules over a arbitrary DG algebra (A_cdot ), embed it into the category of all modules, and take the quotient).