Unbalanced Independence

The general idea of using different orbitals for different spins" seems thus to render an important extension of the entire framework of the independent-particle model. There seem to be essential physical reasons for a comparatively large orbital splitting depending on correlation, since electrons with opposite spins try to avoid each other because of their mutual Coulomb repulsion, and, in systems with unbalanced spins, there may further exist an extra exchange polarization of the type emphasized by Slater. 

Industry critics argue that these organizations sacrifice their independence through such relationships. However, that charge presumes a more unbalanced relationship than is often the case. 

Cause-and-effect relationships should be chosen for investigation, rather than proxy ones or, as is so common, effect-and-effect ones. Levels should be selected for truly independent and uncoupled variables that will avoid either a vanishingly small or a swamping or overwhelming response that would mask or even obliterate some other response of importance or interest. This will sometimes necessitate the use of unconventionally designed or even unbalanced blocks of experiments. 

In evaluating these figures, it must be considered that even in unbalanced groups, i.e. independent of the number of active and inactive analogs being included in the test set, there is a 50% probability of success ( ) of an unbiased blind guess. 

Lines operate with different degrees of automation via computer-integrated controls, providing improvements in operating procedures and quality assurance and reductions in costs. These closed-loop systems maintain long-term repeatability of factors such as melt velocity and pressure. This action occurs independently of what could be occurring with component wear, unbalanced equipment in the line, or plastic material variations. 

For a given liquid, the dynamics of spreading is found to be independent of the solid, as soon as complete wetting is achieved (S > 0). This is very surprising as the (horizontal) unbalanced capillary force for spreading is now... 

---