The planar Apollonius problem can be transferred to the sphere by an inverse stereographic projection; hence, solutions of the planar Apollonius problem also pertain to its counterpart on the sphere.
Concerning the lattice size it should be rectangular in order to minimize projection distortions, hence we use a (20times 40) lattice for all algorithms, which also allows for a good quantization of the input space.
Observers can obtain information about past events, but such definitive information is largely unavailable when future events, beliefs, and perceptions are under analysis and, hence, projection plays a significant role in perception.
Nick Kounis, economist at ABN Amro, said: "The IMF's report on Greek debt makes grim reading but its growth assumptions are too optimistic, hence debt projections are too low".
However, the projected increase in winter precipitation across the mid- and high-latitude regions [2] makes the timing of modeled snowmelt, and hence future projections of phenological shifts, uncertain [76].
The projections are contentious politically, hence the Senate Finance Committee hearing last week.
Hence, some projections of the future cancer burden assume that the global cancer incidence rates will remain constant over time and that the number of cancer cases and deaths will be affected only by growth and aging of the population.
The location of our 6-OHDA lesioning, the rostral end of the SNc, is caudal to the decussation of the nigrostriatal projection [36] and was hence expected to cause some damage to the crossed projection which originates in the ipsilateral SNc.
For their projections the authors therefore assumed that no acclimatization occurred, and hence there would be no future change in the temperature mortality relationship.
Hence, the projection is continuous and compact.
