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Structures and measures in knowledge processing models are focused on identifying invariants of ontological structures for knowledge management problems.

ON SYMMETRIES AND FIRST INTEGRALS OF A PARTIAL DIFFERENTIAL EQUATION WITH A POTENTIAL OPERATOR with a potential operator, based on the application of the theory of transformations to establish

Main Metric invariants of finite metric spaces. III© 2017, Allerton Press, Inc. We find new main metric invariants of finite metric spaces. All

Solitons in Skyrme - Faddeev spinor model and quantum mechanics of baryons and leptons respectively as topological solitons within the scope of 16-spinor model

Magnetic excitations of graphene in 8-spinor realization of chiral model parameter is generalized by including 8-spinor field as an additional order parameter for the description

Finiteness of a set of non-collinear vectors generated by a family of linear operatorsLet ℝn be a real n-dimensional space, let {A(x) | x ∈ X} be a family of m = |X| linear operators

Implementation of Geometric Algebra in Computer Algebra Systems, such as spinors or quaternions, has not become a mainstream in science, but it has taken its place in solving

Notion of territorial system's structure and some approaches to their modeling with the presence in territorial system some unchangeable invariant, which serves as a starting point of stability

Fradkin Equation for a Spin 3/2 Particle in Electromagnetic and Gravitational Fields the general Gel’fand–Yaglom formalism. Having used a standard set of requirements: relativistic invariance

Physical and mathematical analytics ad reality of the fractal spaceOne of the most abstract and unconceivable physical entity, the set of spinor math objects

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