The causes of anomalies in the behavior of some crystalline materials, which are not described by the Nernst equation, are considered. The classification of the types of electrode processes is offered:

* ion-exchange type of processes on membranes;

* non-ion- exchange sorption of ions on membranes;

* membranes with generation of new current carriers;

* membranes with generation of electronic conduction.

Specific features of functioning of solid crystalline membranes with consideration of the electrode process type and possible deviations from the theoretical electrode function are described.

Keywords: electrode membrane, crystalline materials, electrode function, specific features.

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The multimodal method of determining the frequencies based on the Hamilton principle and fictitious lods which correspond to the forms of natural vibrations offered by the authors earlier is extended to solving the static problems. The multimodal analysis of continual systems with an infinite number of degrees of freedom is presented without determining the eigenvalues of the determinant of linear and nonlinear equations of motion. By a single simplified way, both dymnamic characteristics and static deflection and stability are determined. The examples of solving the one-and two-dimensional problems are given.

Keywords: natural frequency, beam, shell, statics, dynamics, stability.

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Electrodynamics of a T-junction with dielectric filling of the branched part at exciting the main branch by an E21 wave is considered. The plots of the dependence of the reflection coefficient on the frequency parameter 2a/l at different e and b/a, where b is the branched part height and a is the main branch width, are presented.

Keywords: T-junction, reflectance, dielectric.

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Dispersion properties of the branched part of a T-junction, which is partially filled with dielectric layers, has been investigated. The possibility of existence of complex waves is demonstrated.

Keywords: T-junction, waveguide, dispersion.

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The basic stages of the technique, fulfillment of which will allow to imfer the feasibility of the algorithm tha employs heuristic rules for solving the combinatory problems, are stated. Application of the technique is illustrated by the results of investigating the algorithm of hypertext systems location.

Keywords: heuristic algorithm, combination theory, network, information location.

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In the cylindrical system of axes, for a three-layer homogeneous and transtropic piezoceramic plate, the asymmetrical problem which simulates the electroelastic state of the piezoceramic element of a control system device has been posed and solved.

Keywords: piezoceramic element, cylindrical system of axes, electroelastic equilibrium, homogeneuos and transtropic plate, asymmetric problem.

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One important property of quasi-irregular numbers is considered. The proof of the corresponding theorem is presented.

Keywords: quasi-irregular numbers, restriction, calculation.

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Lattice-theoretical forms of the Desarge theorem are considered. Some properties of modular lattices have been studied.

Keywords: geometry, lattice, modularity, configuration.

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Abstract properties are considered on the sets which can be assumed as the definition of ring geometries, that is associated with general geometric lattices.

Keywords: geometry, lattice, ordered set.

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Georgian versification is investigated with the help of mathematical simulation and computer-aided analysis. Fundamental characterization of versification systems is based on three key analyses: system structure analysis, diachronism analysis and classification of the systems. The conclusion has been made that the Georgian versification does not belong to either of the known systems but is associated with both of them.

Keywords: versification, mathematical simulation, structure analysis, classification.

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General problems of the conception of fractals as fractional-dimensionaity mathematical objects are stated. The terms associated with the notion "fractals" are critcally estimated and their modern fedinitions are presented.

Keywords: fractals, mathematical objects, notion.

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Basing on literature data, the problem of the system analysis of versification as a dynamic system in the vector n-space is considered. The basic types of attractors for various dimensionality are presented.

Keywords: system analysis, versification, attractor, n-space, vector.

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The paradigmal conception of science methodology defines the science development as a complex row of postulate errors, anomalies, crises and revolutions. Application of this conception to the scientific problem of a ball lightning gives rather fruitful results in developing the methods of search and discovery of the problem solution. There exist discrete, elementary, primary, energetic, electrical and magnetic objects (DEPEEMO). They are similar to strings or tubes; they are closed on themselves or go to infinity. Together they form stable dynamic structures in the form of elementary particles and waves. Separately they are almost demateriilized, i.e. they almost do not interact with the environment and, thus, are hardly detected. In the atmosphere of the Earth, when certain conditions are satisfied, they interact with the air molecules and cause the extreme atmospheric phenomena - a ball lightning, a tornado, a cyclone, etc.

Keywords: ball lightning, paradigm.

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The ball lightning properties have been well studied. About 120 elementary properties were determined. But ten specific properties are the main impediment to the progress in solving the ball lightning problem. They are simple, they are not extreme and have no variations unacceptable for science. Nevertheless, internal mechanisms of their origin have defied explanation and reproduction in experiment. Using the ball lightning model in the form of Atmospheric Universal Stationary Toroidal Electrical Strings (AUSTES) constructed by the author basing on the paradigm of Discrete, Elementary, Universal, Energetic, Electrical, and Magnetic Objects (DEUEEMO), it became possible to quantitatively and queitatively explain the mentioned 10 specific properties with a statisfactory approximation of the calculated results to the observation data.

Keywords: ball lightning , paradigm, specific properties.

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Association of Aurorae with the magnetic cone state depending on the mutual location of the Earth and the Sun is considered.

Keywords: magnetosphere of the Earth, magnetic cone, Aurorae.

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On the base of the experiments on investigating the water effect on the solenoidal electromagnetic field inductance increase, an attempt has been made to explain some natural phenomena, for example the movement of a comet tail around the sun.

Keywords: electromagnetic field, solenoid, natural phenomena, comet tail.

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A computerized method of solving the problems of elemination of the dynamic error occuring at measurement of physical quantities and caused by measuring transduers is offered. The problem of eliminating the determinate distortions superimposed by the communication channel on transmitted signals and other problems can be solved in the same way.

Keywords: physical quantities, error, computer-aided calculation.

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Measuring transducers (sensors of temperature, pressure and other nonstationary quantities) described by a linear differential equation of the first order and operating in a dynamic regime are considered. Calculation of the error associated with determination of a physical quantity and a technique of eliminating the dynamic error are presented.

Keywords: nonstationary quantities, metrology, error.

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The problem of grouping the weapon specimens by the analysis of hierarchy for determinig their proirity is connsidered. By the offered method, the priority of the specimen is determined with consideration of the priority of the weapon kind and type, that allows to to reduce the number of compared alternatives to two orders of magnitude and expandes the possible application of th analysis of hierarchy.

Keywords: weapons, priority, graph, hierarchy.

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Some problems of improving the accuracy of information transmission systems basing on the use of struc-tures and properties of expansion operators are briefly described. The problem of estimating the short trigono-metric Fourier series stability when coefficient calculation errors are of a stochastic character is considered.

Keywords: information transmission system, accuracy, stability.

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Here is described the servicing discipline that prevents "intermixing" of control packets and, thus, reduces the time of message delivery to industrial network objects under control when the modified method of access to the resources of industrial local networks is used. One of the advantages of the described method is the fact that the packets of one message always stand in a queue in succession.

Keywords: network resources, packet switching, servicing.

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The advantage of the method of packet communication at information exchange is demonstrated. The minimum distance between the channels of packet servicing channels is achieved at topology in the form of a tree-type structure.

Keywords: communication channels, information computer network, optimum distances, calculation..

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The algorithm for calculation of the free distance for trellis-structure codes, which is based on the use of the binary tree, is presented. Its calculational complexity is evaluated and possible applications are described.

Keywords: trellis code, algorithm.

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The problem of calculating the basic reliability indices of the parallel system with a cold reserve when there is possible to approximate the nonfailure operating time by the Erlang mixture is considered.

Keywords: reliability, failure, recovery, redundancy.

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The problem of improving the reliability of engineering systems with the use of time redundancy is considered. The advantages of the time redundancy over other kinds of redundancy are demonstrated.

Keywords: engineering system, reliability, failure, recovery, redundancy.

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Basing on the ultrasonic method, the experimental data for diagnostics of the oil pipelines being in service have been obtained. More than 300 cases of internal and external loss of metal in the pipes with the 9 mm wall width were processed. The bar charts were plotted. It was shown that the mathematical expectation practically coincide. The approximation function of the distribution density of the maximum depth probability was formed. The results provide for developing the simplified method for diagnostics of oil pipelines.

Keywords: oil pipeline, corrosion, diagnostics.

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The result of determinig the probabiluity indices of location of the internal and external loss of metal along the pipe and at its cross section are presented. calculation was performed for the oil pipeline having the 45 km length and the 500 mm internal diameter. The bar charts showed that there was unifirm distribution with a certain regularity. The procedures of calculating the hydraulic regime in a corrosive oil pipeline is offered. These procedures provides for developing the simplified method for diagnostics of oil pipelines and determination of their roughness.

Keywords: oil pipeline, corrosion, diagnostics.

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The spatial structure as a chain of cells representing a four-link with kinematic pairs of the fifth order, which forms a spherical mechanism, has been synthesized. The cell is distinguished by absence of the obviously expressed center and is characterized by symmetry of a hyperboloid of one sheet of revolution with four direct generatrices of the right or left family. Depending on a ratio of the sizes of structural members, the cells enter a truncated pyramid or a direct prism and, accordingly, form arch or direct spatial structures, provided the cells are connected in a chain on opposite sides. If the chain is increased by transition from opposite to adjoining sides, the structures with the changed direction of unfolding are synthesized. The structures are capable to unfold from the deployed flat status and, with application of an additional bound, to fix in a spatial extended rigid design forming a support framework of various devices of land or space basing.

Keywords: deployable structure, spatial framework, spherical mechanism, direction of unfolding, space based.

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The outcomes of computing experiment on a mathematical model of the ejector unit for raising river base detrital deposits represented [1]. The computing experiment has revealed availability of a saltus of decrease of productivity of the device at smoothly varying increase of air consumption.

Keywords: ejector, river base detrital deposits, computing experiment, saltus of productivity.

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A method of calculating the regime of traffic lights regulation at crossroads is considered. The method is based on refinement of the following parameters of multiphase traffic flows: the intensity of delayed vehicles and the saturation factors which enter into the equation of total delay. The equations for the cases when the traffic flow is serviced during two or three phases of traffic lights regulation are presented.

Keywords: traffic flow, delay, traffic lights, regulation, calculation.

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The possibility of application of solid fuel in on-board power plants is consodered and justified. The description of the scheme of the on-board power plant operating on the solid fuel is given. The results of investigation of fuel system basic components are presented.

Keywords: water transport, power plant, solid fuel.

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Here is described the procedure of im[proving the efficiency of an on-board gas-turbine plant, which consists in conversion of the plant onto a composite working medium, i.e. in introducing the steam into the cycle.

Keywords: gas-turbine plant, composite working medium, efficiency.

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When dough is prepared, alcohol fermentation takes place. The recovered spirit and carbon dioxide are exhausted into atmosphere through a pipe. The authors suggest that, in parallel with the first pipe, there should be placed the second pipe, in which the off-gases will move from the top down and, due to heat exchange with the ambient air, partial condensation of aqueous vapor will take place. The remained alcohol-aqueous vapor mixture will completely condensate into the cyclone-type condenser equipped with water jackets. This method gives the increase in the alcohol concentration by 10% by volume.

Keywords: off-gases, bakery, alcohol, utilization.

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A new method of producing the monocrystals by treating them in active sulfur vapor is presented. The method enables us to obtain II-VI wide-band-gap compounds with specified electrical and optical properties. High-purity monocrystals of ZnS were produced by the mentioned method.

Keywords: monocrystals, active sulfur vapor, optical properties.

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Quantum-chemical investigation of the complex-forming ability and electronic structure of the benzaldehyde benzoylhydrazone (BABH) molecule has been performed using the semi-empirical quantum-chemical method AM1.

Keywords: benzaldehyde benzoylhydrazone, quantum-chemical investigation.

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Quantum-chemical investigation of the complex-forming abolity and electronic structure of the metanitrobenzaldehyde isonicotinoylhydrazone (MNBAINH) molecule has been carried out using the semi-empirical quantum-chemical method AM1.

Keywords: metanitrobenzaldehyde isonicotinoylhydrazone, quantum-chemical investigation.

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By the quantum-chemical semiempirical method AM1, energetical and electronic indexes of parasubstituted pyridine in a protonated condition were calculated. It is shown that activation enthalpy (D D Н#), heat of reaction of proton addition (D D Н), ionization potential (i), dipole moment (m ) and charge of the nitrogen atom (qN) can be used characteristic parameters for quantitative description of proton-acceptoring ability of pyridine.

Keywords: pyridine, quantum-chemical method, proton-acceptoring ability, basicity.

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It is demonstrated that alkyl phenols and corresponding aryloxycarboxilic acids increase the yield of grafting for wines in comparision with heteroauxin. The effect of some synthesized compounds on the process of root - taking was tested on actinidia China (kivi). Percentage of taking roots for arborescent plants was 29% and for green ones - 44%. If the growth stimulator is used, taking roots of plants intensifies by 23-36% in case of the green plants.

Keywords: alkyl phenols, growth-stimulating agent.

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The Wurtz-type reductive-coupling reaction of dichlorophenyl-a - naphthylsilane and dichlorodiphenylsilane was carried out both in the presence of metallic sodium in toluene solution and in a mixture of toluene and o-xylene (at 1:1 ratio) in the presence of sodium and catalytic amount of mercury. Oligomers of a , w - dichlorodiarylsilylenes with various degrees of polymerization were obtained. By hydrolysis of a , w - dichlorodiarylsilylenes, corresponding a , w - dihydroxy-diarylsilylenes were obtained. The synthesized oligomers were investigated by gel permeation chromatography, X-ray and thermogravimetric methods.

Keywords: oligomer, oligophenylarylsilylene, Wurtz-type reductive-coupling reactions.

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The reaction of catalytic dehydrocondensation of a , w - bis(trimethylsiloxy)methylhydri-desiloxanes with a -hydroxyl-w -trimethylsiloxyphenyl-a - naphthylsilylenes, at the ratio of initial compounds 1:35 in the presence of anhydrous caustic potassium has been investigated. The catalytic dehydrocondensation reaction order, activation energies and rate constants were found. Polyorganosiloxanes with rigid polyphenyl-a - naphthylsilylenes fragments in the side chain, completely dissoluble in organic solvents were synthesized. The synthesized oligomers were investigated by thermogravimetric, differential scanning calorimetric and wide angle X-ray methods.

Keywords: copolymer, organosiloxane, сatalytic dehydrocondensation.

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Dimerization of propylene in the presence of various catalysts has been studied. It was established that the dimerization reaction rate and the composition of produced hexenes depend on various factors. By rectification of dimers, olefins 4-MP-2 and 2,3-DMB-2, which are used for the synthesis of pyrethroids, were isolated.

Keywords: propylene, gel-immobilized catalyst, dimerization.

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Migration forms of zinc in Georgian natural waters were studied by gel chromatography. It was established that zinc is mainly presented in the form of low-molecular and high-molecular compounds. The most probable inorganic forms of zinc are ZnOH+ and ZnHCO3+, but the organic form-fulvic complexes. The migration forms of zinc in natural waters were computed. The experimentally determined and computed forms of zinc are in good agreement. Thus it is possible to predict the zinc migration forms in natural waters.

Keywords: natural waters, zinc, migration forms, gel chromatography, stability constant, prediction.

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The manganese content in bottom sediments of the Georgian sector of the Black Sea is conditioned by pecularities of the recharge zones of the rivers of the given region. Manganese is brought in by the rivers through sediments and dredge equally. In the solid discharge of the rivers from the Chorokhi to the Supsa, manganese is mainly presented as a stable mineral whereas, in the river sediments of the rivers of the Kolkheti lowland, the main share of manganese is presented in the form of light easely soluble sorbing compounds.

Keywords: bottom sediments of the Black Sea, manganese.

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The technology of purification of industrial sewage from heavy metals and petroleum products has been developed. The technology is based on flotoelectrocoagulation which includes both electrocoagulation and electroflotation. The suggested method allows to reduce the content of heavy metals and petroleum products in the industrial sewage to permissible limits and is recommended for application in practice.

Keywords: industrial sewage, purification, flotation, electrocoagulation.

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A simple model of complex molecules has been constructed. On its base, the procedure of constructing the correltion equations of the type "structure-properties" within the scope of the quasi-ANB-matrices method is considered.

Keywords: complex molecule, quasi-ANB-matrix.

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Basing on experimental data, the suggestion has been made that the specific feature of biological systems is the trinity of matter, energy and information, that exist in the "interphase" state where the magnetic field, which ensures informational integrity of the system, its adaptive reconstruction and energetic-informational replenishment with the help of a magnetic trap mechanism, plays an important role.

Keywords: biological systems, magnetic field, interphase state, feature.

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Dependence of the man's health and psychical state on his bioenergy is considered. A brief description of the man's main energy centres, so-called "chakras", is given. The necessity in tight bonds of bioenergetics with traditional medicine is noted.

Keywords: bioenergy of a man, chakra, state of mind, health.

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Designing of a light-quide electrode transmitter and a matrix consisting of 37 light-quide electrode transmitters and enabling to observe the organism reaction to the laser emission influence on bloactive points, that in its turn gives the possibility to investigate the anisotropy of skin’s electric properties, is considered.

Keywords: light quide-electrode transmitter, bioactive points, lazer puncture.

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The design of the movement mechanism of the autonomous mobile wheeled robot with two rolling and two drive wheels actuated by the original drive with a differential and friction clutches is described.

Keywords: robot, mobility, independence.

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A method of cheking the serviceable condition of vehicle steering by total free play is considered. The mathematical expression for correcting the standard force applied to the steering wheel depending on its diameter is given.

Keywords: vehicle, steering, serviceable condition, checking.

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