Unit quaternions are used as representation of orientation, preventing problems caused by the Euler singularity.
The resultant fibrils provided fiber diffraction patterns consistent with two-rung β-solenoid diffraction, but poor orientation prevented quantitative comparisons owing to the inability to perform accurate background subtraction.
Cell rolling in the two orientations was qualitatively similar, and the quantitative differences can be explained by the effect of gravity, which promotes free-flowing cells to tether and detached cells to reattach to the surface in the upright orientation but prevents such attachment from happening in the inverted orientation.
The dot can be occupied by a single electron with either spin-up or spin-down orientation, which prevents double occupation on ε d due to the Pauli exclusion principle.
The nests are wedge-shaped with apparent north-south orientation which prevents overheating at noon and enables maintaining the warmth of nest in the evening.
To reduce the toxicity associated with this class of compounds, Pavel Petukhov (University of Illinois, USA) screened compounds using Binding Ensemble Profiling with Photoaffinity Labeling to specifically identify compounds that bind in an orientation that prevents chelation of the zinc group.
The control algorithm also applies orientation constraints preventing the tip from orienting around the instrument axis due to the robot movements as well as a minimum displacement constraint to minimise the movements of the parallel micropositioning robot.
The one obvious major difference is, of course, their sexual orientation – although, as Maria points out, in some ways they shared a similar experience, for when Angela came out they made a point of clarifying her sister's orientation, to prevent any confusion.
And there are, as Politifact and others have noted, contextual differences: other states, including Illinois, have laws against discriminating on the basis of sexual orientation, which prevent some of the potential ill uses of the Indiana RFRA (Existing laws explain why racial discrimination is less of a RFRA problem, as the Indianapolis Star pointed out in a very good survey of the law).
Engineers had added the instruction to be a last resort in case the spacecraft had landed in an orientation that prevented communication with Earth, with the idea of popping the ship up in hopes that its antennas would point in the right direction.
