Abstract. An intellectual control system (ICS) to control robots can be built (designed) on the basis of the mathematical model of cognitive digital automata (CDA).Examples of cognitive learning in children the intellectual control system in this case is a software and hardware complex, where the mathematical model of the CDA determines the control system as an intellectual one.Examples of cognitive learning in children the cognitive ability of the mathematical model is determined by the possibility of forming new knowledge based on the knowledge gained at the training stage.Examples of cognitive learning in children the creativity of a mathematical model is determined by the ability to construct sequences (logical chains) of generating new knowledge.

A specific feature of the mathematical model of the CDA consists in the fact that the description of the neural network (NN) structure serves as the initial structural scheme of automata, and the logical function "NOT-AND-OR" is used as the neuron model.Examples of cognitive learning in children the mathematical apparatus of petri nets (PN) is proposed as a tool to construct the mathematical model of the CDA.

The structure, composition and algorithm of functioning of the robot’s intellectual control system based on the mathematical model of the CDA is discussed in the paper.Examples of cognitive learning in children in accordance with the algorithm, the ICS operates in three modes: training, manual and automatic control. Training a mathematical model of the CDA can be performed both in the manual mode and in the automatic control mode.Examples of cognitive learning in children the possibility of learning in the automatic control mode, in its turn, provides the possibility of regenerating knowledge and, accordingly, the possibility of cognitive control.Examples of cognitive learning in children

Principal directions of developing the methods for designing intelligent systems of robot control assume technologies based on the use of artificial neural networks.Examples of cognitive learning in children the neural networks, where the model of a neuron was developed as the simplest processor element, performing the computation of the transfer function of a scalar product of an input data vector and a weight vector, can give interesting results regarding generation of dependencies and forecasting.Examples of cognitive learning in children however, their obvious drawback is the lack of an explicit algorithm of action. Memorization of information in the learning process occurs implicitly as a result of selection of the weight coefficients of the neural network, therefore the problem of cognition (the formation of new knowledge) on the basis of those obtained earlier in the learning process seems difficult to resolve.Examples of cognitive learning in children A positive solution to this problem will open the way to the creation of the full-fledged artificial mind. From this point of view the promising area is where the mathematical model of the neural networks is built on the basis of mathematical logic.Examples of cognitive learning in children the intelligent control system in this case is a software and hardware complex, where the mathematical model of the neural network identifies the control system as an intellectual one.Examples of cognitive learning in children

Abstract: one aspect of adaptive mesh refinement in the finite element method for solving partial differential equations is the method by which elements are refined.Examples of cognitive learning in children in the early 1980’s the dominant method for refining triangles was the red-green algorithm of bankand sherman. The red refinements are the desired refinements, but will result in an incompatible mesh when used alone.Examples of cognitive learning in children the green refinements are used to recover compatibility for stability of the finite element discretization, and are removed before the next adaptive step.Examples of cognitive learning in children prof. Bob skeel raised the question as to whether it is possible to perform adaptive refinement of triangles without this complicated patching/unpatching process.Examples of cognitive learning in children as a result, a new triangle refinement method, called newest vertex bisection, was devised as an alternative to red-green refinement in the mid 1980’s.Examples of cognitive learning in children the new approach is simpler and maintains compatibility of the mesh at all times, avoiding the patching/unpatching of the green refinement. In this historical paper we review the development of the newest vertex bisection method for adaptive refinement, and subsequent extensions of the method.Examples of cognitive learning in children

Abstract: the vehicle routing problem (VRP) is one of the most challenging combinatorial optimization tasks. This problem consists in designing an optimal set of routes for a fleet of vehicles in order to serve a given set of customers.Examples of cognitive learning in children vehicle routing problem forms an integral part of the supply chain management, which plays a significant role in productivity improvement in organizations through an efficient and effective delivery of goods/services to customers.Examples of cognitive learning in children this problem is known to be NP-hard; hence many heuristic procedures for its solution have been suggested. For such problems, it is often desirable to obtain approximate solutions, so they can be found fast enough and are sufficiently accurate for the purpose.Examples of cognitive learning in children in this paper, we have performed an experimental study that indicates a suitable use of genetic algorithms for the vehicle routing problem. We tested instances from capacitated vehicle routing problem library (CVRPLIB) series A, B, E, M and X.Examples of cognitive learning in children the obtained experimental outputs were compared with the following heuristics: the clarke and wright heuristic, sweep algorithm, and taillard's algorithm.Examples of cognitive learning in children