Range Concepts

In Fig. 6.2, a more general three-dimensional presentation of the penetration of a projectile into a solid is shown. In this schematic, an energetic projectile enters the sample surface at the point (0, 0,0), at a angle a to the surface normal. The projectile is stopped at the point (x, z ). For this presentation of an ion s pene- 

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The Stress-Rang e Concept. The solution of the problem of the rigid system is based on the linear relationship between stress and strain. This relationship allows the superposition of the effects of many iadividual forces and moments. If the relationship between stress and strain is nonlinear, an elementary problem, such as a siagle-plane two-member system, can be solved but only with considerable difficulty. Most practical piping systems do, ia fact, have stresses that are initially ia the nonlinear range. Using linear analysis ia an apparendy nonlinear problem is justified by the stress-range concept... 

Quality assurance is a wide-ranging concept covering all matters that individually or collectively influence the quality of a product, ft is the totality of the arrangements made with the object of ensuring that... 

If only one observation is available, individual values can be used to develop the X chart (rather than the x chart) and the range chart is developed by using the moving range concept discussed in Subsection 2.2.3. 

Lindhard, J., Scharff, M., Schiott, H.E. Range concepts and heavy ion ranges (notes on atomic collisions II). Mat. Fys. Medd. Dan. Vidensk. Selsk. 33(14), 3 (1963)... 

Although only three carotenoids are commercially synthsised for use as permitted food colourants, namely p-carotene, apocarotenal and canthaxanthin, the availability of nature-identical counterparts of the natural products has always attracted interest. For the study of biological properties and for chromatographic studies access to synthetic versions is highly desirable. In the course of the isolation of the natural product its total synthesis finally always remained historically as a target. Such chemical work had invariably been carried out well before the introduction of the permitted range concept focussed attention on certain natural products... 

Principle. Quality assurance is a wide-ranging concept... 

While sustainability is a complex and wide-ranging concept, the basic objective is to optimise agriculture s net contribution to society, by making better use of physical and human resources. Sustainable farming systems are those that contribute to long-term welfare by providing food and other goods and services in ways that are ... 

Kinetics and Mechanisms of Action.—A book entitled Kinetics of Enzyme Mechanisms has examined the wide-ranging concepts and methods that are used to obtain information on enzyme mechanisms. It covers the essential ideas behind various kinetic methods, with little mathematical detail, and includes sections on inhibitors, activators, co-operative interactions, and transport across membranes. 

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