Vladimir Kutergin, PhD in Engineering, Professor, Ural branch of Russian Academy of Sciences, Applied mechanics Institute
The constructive mathematics is based on using some constructive mentality which connects the statements of mathematical objects’ existence with opportunities of designing them. Artificial object’s design is considered as a constructive process. Necessity of invariants methodology development as the essential paradigm for constructive models of artificial objects description and analysis; and basing on it creation of applied research theories for design and management is presented. Transition from one structure of elements’ interaction to another is considered as transition to another theory. The problem of artificial object design is managing the excessive structural or functional degrees of freedom in order to achieve the goal with due quality of proceeding processes.
KEYWORLDS: constructive mathematics, artificial object, algorithm, space structure, structure transformation, group of co-ordinates transformations, constructive processes, invariants, systems design.
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