Sentence examples for are arbitrarily shown from inspiring English sources

Caldera-bounding faults, which typically dip steeply (e.g., Lipman, 1997), are arbitrarily shown as vertical (dashed lines).

The different bases of the LEE1 regulatory region are arbitrarily numbered 1 278 as shown in Figure 2(A).

In the multi-dimensional case, when agents' preferences are arbitrarily correlated, Briest et al. (2010) showed that the gap between the expected revenue obtained by an optimal randomized mechanism and an optimal deterministic mechanism can be unbounded even when a single agent is offered only 4 services.

More precisely, we show that initial data in the Schwartz class S that are arbitrarily small in ˙B−1,∞∞ can produce solutions arbitrarily large in ˙B−1,∞∞ after an arbitrarily short time.

Riders are arbitrarily paired by John Chapman, promoter.

They are arbitrarily selected and easily dismissed.

Deficits are arbitrarily defined and easily manipulated.

People who are arbitrarily using it need to be cautious.

Spectra are arbitrarily shifted.

Example: Players are arbitrarily sent into one of three paths.

Note these values are arbitrarily selected.