In this chapter, we introduce the tools necessary to manipulate objects in 3D space to position them as required by the design.
What is striking on the current American scene, however, is the extent to which people see certain political and economic positions as required by their religious commitment.
The exchange with 8... bc3 9 bc yields White the bishop pair and the majority of center pawns, but it is not easy for White to open the position as required for the use of his bishops.
The positioning algorithm evaluates as many candidate positions as required to find the one which satisfies a predefined criteria.
Precise radial positioning as required for satellite altimetry has improved with enhancements in gravity field modelling to the extent that surface forces are now becoming the major source of error.
Widespread experience with laparoscopic pancreatectomies has allowed safe splenectomies in the supine position, by a safe and even less invasive surgical method using TVSE without the changing of body positions as required in conventional laparoscopic splenectomy [5 10].
A specially designed loading fixture was used to ensure that the diamond film sample was tested in a near-perfect vertical position, as required by the ASTM E399 standards.
The simplest of the removable roadblocks consisted of concrete cylinders of various sizes but typically about 3 feet high and 2 feet in diameter; these could be manhandled into position as required.
Subjects were able to rest between positions as required.
Surprisingly, our results imply that, in some cases, the use of probabilities obtained when only considering a single design position at a time (or a group of relatively independent positions, as in the authors' experimental results) may work together to provide optimal probabilities for simultaneous design of all positions, as required for probabilistic protein design.
