Mapping system

Coordinate transformation between local and global systems - mapping... 

Figure 2(b) represents the potential surface of the identical system, mapped onto the double-cover space [28], The latter is obtained simply by unwinding the encirclement angle < ), from 0 2ti to 0 4ti, such that two (internal) rotations around the Cl are represented as one in the page. The potential is therefore symmetric under the operation Rin defined as an internal rotation by 2n in the double space. To map back onto the single space, one cuts out a 271-wide sector from the double space. This is taken to be the 0 2ti sector in Fig. 2(b), but any 27i-wide sector would be acceptable. Which particular sector has been taken is represented by a cut line in the single space, so in Fig. 2(b) the cut line passes between < ) = 0 and 2n. Since the single space is the physical space, any observable obtained from the total (electronic + nuclear) wave function in this space must be independent of the position of the cut line. 

So far, we have treated the atoms as distinguishable particles, both in the general theory of Section II and in the application to H + H2 in Section III. Here, we explain how to incorporate the effects of particle exchange symmetry. First, we discuss how the symmetry of the system maps from the physical onto the double space, and then explain what effect the GP has on wave functions of reactions that (like H + H2) have identical reagents and products. 

Kuong JF. Audit and Control of Advanced/On-Line Systems. MAP-7. Management Advisory Publications, 1980. 

Instrument manufacturers offer a variety of devices, including monitoring systems for standard process or for spot curing technology and systems for process control. Online UV radiometers can measure and display the peak intensity and total UV energy used in the process. More-advanced systems map the entire process and evaluate the lamp focus, reflector focus and reflector efficiency within a specific... 

Over time, a dynamical system maps out a trajectory in phase space. The trajectory is the curve formed by the phase points the system passes through. We will return to consider this dynamic behavior in Section 3.2.2. 

Gentner, D., and Imai, M. (1992). Is the future always ahead Evidence for system-mappings in understanding space-time metaphors. Proceedings of the Fourteenth Annual Meeting of the Cognitive Science Society (pp. 510-515). 

We have demonstrated that peptides which differ in their C-tennini can be simultaneously synthesized in one reaction vessel by employing resins that possess different cleavage properties. This synthesis, strategy can also be used for the synthesis of multiple antigenic peptide systems, MAPS (8) and their corresponding des-lysine core sequences. Moreover, this strategy can be expanded to the synthesis of more than two peptides by employing other resins such as the HF cleavable Pam resins and the photo-labile resins. 

Visualizing Data within a Geographic Information System - Maps... 

---