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Measurements of the initial values lead to an inverse and mathematically unprecisely formulated problem. A precise definition of an inverse problem is possible. It is to state a mathematical model of a physical process with clearly defined initial and exit values for the system behind the process. One can grasp the idea of an inverse problem by considering the tire as a copy of the objects of nature in a room with observations. Interpretation of nature is generally a result of an inverse problem. On one hand, the tire may be represented through the sensory organs and the nervous system as well as the experiences of the developer''s existing apparatus of the projection of reality. On the other hand, it may be represented by a physical law or a model that can be confirmed or is to be refuted with teh help of suitable measurements.

During the last years more military tasks have been transferred from tracked vehicles to wheeled armoured vehicles. Studies show that in most cases off-road mobility can be obtained by wheeled vehicles. It is a disadvantage of conventional pneumatic tires that they are not serviceable after a puncture. An off-road vehicle requires modern radial tires with cross-country profile, which must be able to convert the output of the vehicles engine into tractive effort on the ground. In military operations various types of tired vehicles are expected to operate over a great variety of surfaces in cross-country transport. Reliability is of particular importance.