Congruity

Using the Ashley approximation, the inverse inelastic mean free path is given, in congruity with the stopping power (see Sect. 2.5.2), as follows ... 

Waking consciousness, whatever its content, can be controlled to help keep it on track. Left to its own devices, it might flit from external to internal stimuli and from one internal stimulus to another. Continuity (vs. discontinuity) is one example of this form of consciousness. A related formal property is congruity (vs. incongruity), which describes the coherence of the contents of consciousness at any instant. If continuity describes smoothness (vs. choppiness) of flow of the stream of consciousness, congruity describes its integrity, the compatibility of its components, channels, and elements. 

Petrusic WM. Semantic congruity effects and theories of the comparison process. J Exp Psychol Hum Perc Perf 1992 18 962-986. 

Banks, W. P., Fujii, M., and Kayra-Stuart, F. (1976). Semantic congruity effects in comparative judgements. Journal of Experimental Psychology Human Perception and Performance, 2, 435-447. 

Today the history of the Holocaust is considered to be by far one of the best-researched chapters of recent history. A closer look at this subject, however, usually reveals very quickly that our understanding is still based on a very unstable foundation. Often the congruity of the various research can only be explained by the historians practice of uncritically copying each other s work [sic ] - while at the same time court files, which to this day are not generally accessible, continue to harbor undiscovered documents which even the prosecutors who dealt with the case at the time may not remember today. Demands requiring historical expert witnesses to keep silent also at times cause the state of research to lag behind the state of knowledge and awareness held by some few individuals."... 

Figure 3.47. The electron-topological matrix of congruity (ETMC) for a 17-atom fragment proposed by Bersuker and Dimoglo (455) to encode geometrical and electronic features of molecules.

For each molecule with A atoms, the square symmetric Ax A matrix, called the electron-topological matrix of congruity ETMC, is defined as the following ... 

Electron-Conformational Matrix of Congruity Electronic-Topological method... 

Given a series of N molecules with known biological activity or inactivity and provided that the conformations and electronic structure of these molecules can be determined, the essence of the ET method is as follows.For each molecule the so-called electron-topological matrix of congruity (ETMC) or, in the more sophisticated versions, a set of ETMC —the three-dimensional ETMC (TDETMC) —is constructed as shown schematically below. 

Since the epoxidized form of vitamin K is inactive, and the coumarin drugs therefore hinder the carboxylation reaction (Eq. 11.1) indirectly, it is theoretically incorrect to refer to them as vitamin K antagonists. On the other hand, it can be assumed that it is the structural congruity between the coumarin drugs and the K vitamins that enable them to inhibit the reducing enzyme diaphorase. 

The hip joint is a ball-and-socket joint, which derives its stability from congruity of the implants, pelvic muscles, and capsule. The prosthetic hip components are optimized to provide a wide range of motion... 

The shoulder has the largest range of motion in the body, which results from a shallow ball and socket joint, which allows a combination of rotation and sliding motions between the joint surfaces. To compensate for the compromise in congruity, the shoulder has an elaborate capsular and hgamentous structure, which provides the basic stabilization. In addition, the muscle girdle of the shoulder provides additional dynamic stabihty. A decrease in the radius of curvature of the implant to compensate for soft tissue instabiUty will result in a decrease in the range of motion [Neer, 1990]. 

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