**GENERALIZED COOPERATIVE
CONCATENATED CODING**

**Georgian Technical
University**

**ON THE MEASUREMENT OF MATHEMATICAL
EXPECTATION **

**ON RANDOM VARIABLE BY ANALOG METHOD**

**Machavariani**** G.A. and Dalaqishvili
T.O.**

**V. Chavchanidze
Institute of Cybernetics, Georgian Technical University **

**Abstract.** The distributed artificial intelligence system construction on the
principles of multi-agent systems and automata collective behavior requires the
simple devices of information processing that must act autonomously. In this
paper is suggested the simple realization of the mathematical expectation
measurement of the normal distribution random variable.

**Keywords:** multiagent systems, automata collective behavior, hybrid
systems.

**SUMMARY**

** APPROXIMATE SOLUTIONS TO NON-STATIONARY CONJUGATED**

** TASKS OF HEAT TRANSFER UNDER LAMINAR FLUID
FLOW IN CHANNELS**

**Tsutskiridze**** V.N.**

**Georgian Technical University**

The paper deals with a new approach to the solution of unsteady conjugated heat transfer problems for a laminar liquid flow. This approach uses the analytical method based on the simultaneous application of the integral Laplace-Carson transformation, and the Bubnov-Galerkin and Kantarovich methods.

**Keywords: **heat exchange, liquid, laminar flow, conjugated tasks, channel.

**SUMMARY**

**ORGANIZATION OF IT-INFRASTRUCTURE AND THE COLLABORATE
WORK ON ELECTRONIC DOCUMENTS IN SMALL BUSINESS WITH MINIMUM EXPENSES**

**Lebanidze**** V.T., Tevdoradze M.T. and Kapanadze
M.M.**

**Georgian Educational University**

The organization of IT-infrastructure for small business and collaborate work of the employees is discussed. For this goal, Microsoft software products are considered and the appropriate solutions for resolving the corresponding tasks with minimum expenses are offered. Besides, the organization of the system providing electronic document turnover in small business is discussed.

**Keywords: **IT-infrastructure,
small business, electron documentation, minimum expenses.

**DETERMINATION OF KINEMATIC CONTROL
FUNCTIONS FOR SPATIAL ROTATIONS **

**(SPINOR REPRESENTATION APPROACH)**

**Milnikov****
A.A. and Rodonaia V.I.**

**Georgian Technical University **

**Abstract.** In the paper the
expressions for solving the problem of determination
of kinematic control functions were derived. The results are based on the
assumption that instant
states (initial and final) of the rotational transformation
of a 3-dimensional point are given.
To realize the complete process of spatial control one needs to define
all intermediate (continuous) states of the transformation. The time-dependent
(kinematic) representation of the rotation is
formulated in terms of time functions of Euler angles. The offered theory
allows reducing the problem of spatial movement control to the one-dimensional
case.

**Keywords: **spatial rotation, orthogonal transformation, kinematics, control
function, Euler angles.

**SUMMARY**

**INVESTIGATION OF THE EFFECT OF THE ERRORS OF MEASUREMENT DEVICES ON
THE PROPERTY OF ORTOGONALITY OF THE THIRD-ORDER ROTATABLE DESIGNS FOR THREE
VARIABLES**

**Beraia**** N.O. and Gvaramia E.G.**

**Georgian Technikal University**

The
article deals with the effect of various errors of measurement devices on the propertly of orthoganility of two
from three composition rotatable designs of the third order for three variables
obtained by combining the D_{3}D_{4} and D_{3}D_{6
} rotatable designs of the
second order. The investigation was performed for the most characteristic
errors of measurement devices at different sizes of the square. The simulation
of the effect of measurement device errors on the abovementioned property of
designs was performed by superimposing the random numbers distributed by the
normal law on the design coordinates. In the result, the experimenter can
adequately select the accuracy of measurement devices, used for establishment
of factor levels, depending on the desired accuracy of the estimate of the
factors of the regression equation.

**Keywords:** experimental design, third-order rotatable design, ortogonality.

**SUMMARY**

**INVESTIGATION OF THE EFFECT OF EXPERIMENTAL ERRORS ON THE PROPERTIES
OF
G- AND Q-OPTIMALITY OF THREE-COMPONENT SIMPLEX DESIGNS OF THE SECOND ORDER**

**Beraia**** N.O. and Bochoridze
E.V.**

**Georgian Technical University**

The article deals with the effect of the
errors of measurement device on the properties of G- and Q-optimality of Sheffe’s three-component simplex-grid designs of the second
order. The investigation was performed for different error ranges,
characteristic of measurement devices in the research field limited by the
simplex. At a quite small scanning pitch, we obtained the data array by which
it was possible to judge objectively of the analyzed properties of the designs
under study. For each criterion, maximum and minimum values, and mean
arithmetic and root-mean-square deviations characterizing the dispersion were
obtained. The degree of degradation of the properties of the second-order
designs under study at increasing errors was analyzed.

**Keywords: **experimental design, simplex-grid design, G-optimality, Q-optimality.

**DIFFRACTION OF THE
H-POLARIZED OBLIQUELY INCIDENT PLANE WAVE BY THE PERIODIC DIELECTRIC CORRUGATED
STRUCTURE WITH RECTANGULAR RIDGES PLACED ON A METALLIC PLATE**

**Gdzelishvili**** S.C.**

**Georgian**** Technical University**

**Abstract**. An analytical
method for the analysis of the diffraction of the plane electromagnetic wave by
the periodic corrugated dielectric structure with rectangular ridges placed on
a perfectly conducting plate is presented. The case of the obliquely incident
plane wave with a magnetic vector being parallel to the ridges of the structure
(H-polarization) is considered. On the basis of the rigorous formulation of the
electrodynamic boundary-value problem, infinite sets
of linear algebraic equations (ISLAE) of the first and the second kind were
derived to define the complex amplitudes of spatial harmonics of the field
scattered by the periodic structure. Each of the ISLAEs was solved by the
truncation method.

**Keywords**: biorthogonality, eigenfunctions,
infinite set of linear algebraic equations, light beam divider, periodic
corrugated dielectric structure, plane wave diffraction.

**SUMMARY
**

**Ch.
SHERRINGTON’S PRINCIPLE OF THE FINAL COMMON PATH IN ROBOTICS**

**Machavariani**** G.A. and Bekauri N.I.**

**V. Chavchanidze Institute of Cybernetics, Georgian Technical
University**

This article is the further development of the compositional concept of walking robots. According to this concept, the locomotion process controlled by the lower control level of the robot can be represented as the result of collective operation of autonomous automated control systems (controllers) considered as simple automations or the agents of a multiagent system. The objective of this work is to draw the parallels between the hexapod robot model designed on the basis of the compositional concept and the models of movements control in living organisms and to expand the range of facts justifying the similarity of principles of functioning of artificial and natural intelligence systems.

**Keywords: **hexapod robot, compositional
concept, movement control, Sherrington’s principle.

**SUMMARY**

**STATISTICAL ESTIMATION AND ANALYSIS OF THE RESULTS OF
THE EXPERIMENTAL INVESTIGATION METHOD OF TESTING OPERATION**

**Grdzelidze**** M.G.**

**Akaki**** Tsereteli State
University, **

The most important indices of the footwear quality are its convenience and durability in wearing. This is especially important for consumers with deformed feet. In the result of experimental investigation of testing wearing, the pedograms of teenagers were studied with the aim of analyzing the percentage of distribution of the load on the plantar part of the foot. The load distribution on the foot in dynamics and statics was calculated. This index deternines the topography of heel wear and hence the quality and convineince of footwear.

**Keywords:** footwear,
orthopedic elements, foot, statistical analysis.

**MODELING OF THE REMOTE CONTROL SYSTEM**

**FOR PHYSICAL STABILITY OF THE HYDRAULIC FILL DAM**

**Aliyev**** V.A. and Gafarov E.K.**

^{ }

**Institute**** of Physics,
National **

**National
Aerospace Agency****, Azerbaijan**

**Abstract.** The paper deals
with the results of modeling of the remote control system of physical stability
of the hydraulic fill dam by the example of the Mingechevir
Dam on the

**Keywords: **hydraulic fill
dam, physical stability, reservoir, remote control, aero-geodetic benchmarks,
water level recorder, GSM.** **

**SUMMARY**

**PRISONERS‘ INDIVIDUAL SAFETY
CONTROL SYSTEM**

**Odisharia K.M., Kaishauri
T.V. and Tsiklauri N.L.**

**Georgian****
Technical University**

Prisoners′ individual safety control
system is presented. The general algorithm of operation of the monitoring
system of prisoners location is presented. The complete control of prisoners′
rights, duties and illegal actions will be accomplished by introducing the
modern advanced informaional technologies.

**Keywords**: prisoner′s duties, prisoner′s
identification, the subsystem of control of prisoner′s duties, general
algorithm, radio-frequency identification.

**ENERGY-INFORMATION STOCHASTICITY OF BIO-ENERGY **

**Kadagishvili**** L.G.**

**V. Chavchanidze Institute of
Cybernetics, Technical University Georgia **

**Georgian**** Engineering
Academy**

**Abstract.** The article
deals with the intra- and extrasensory stochastic cases of the information** **influence of bio-energy. In the
experiments the necessity for the compatibility between the patient and the
bio-corrector and torsion stochastic interactions of the fields of both persons
were studied. It was inferred that the methodology of treatment of the patient
with the bio-field should be based on the precise diagnosis to establish a
thorough contact between the patient and the bio-corrector.

**Keywords: **bio-energy,
information, stochasticity, bio-corrector.

**FUNCTIONAL REPRESENTATION
OF THE STREAM OF CONSCIOUSNESS**

**Kadagishvili**** L.G.**

**V. Chavchanidze
Institute of Cybernetics, **

**Abstract.** The article
deals with the functional representation of the stream of consciousness studied
experimentally. The stream of consciousness is the exposure of the process of
thinking in time. The development of the problem is given during both the
anatomic and phenomenological studies of perception. The spectrum of
characteristics has the following features: consciousness is a dynamic process, it is irrational, normalized, wave-like, permanent,
quantum, entropic and rigid. The study of psychics will reveal more functional
interrelations, which are being studied.

**Keywords: **stream of
consciousness, functional
representation, perception, thinking.

**SUMMARY**

**ON THE MULTIDIMENSIONAL MODEL OF THE SPACE-TIME AND THE
RELATIVITY OF THE NUMBER**

**Sepiashvili**** D.P.**

**Georgian Engineering Academy**

The time-spatial
structure of the Universe is multidimensional. Real particles in vacuum exist
in the form of “twins” – virtual realities hidden in the space-time of high
dimensionality. Hence, the number of objects is relative, and our notion of the
number is too simple and does not correspond to the reality. The total energy
of the multidimensional particle is higher than that observed in the real
space-time. It is equal to _{}where *E* is the
energy of the real particle; *i* is
the number of virtual twins of the particle. The higher is the
number of virtual twins of the particle, the lower is its actual energy, and
the higher is its dimensionality. The twins can interact with one another and
with real objects. The first is manifested in the dark energy, the latter – in
the form of the fields of different forces of interaction (electric,
gravitational etc.). The cause of accelerated expansion of the Universe should
be sought for in the multidimentional structure of
the Metauniverse and in double (at least) direction
of its development (double direction of time). The repeated genesis of the
Universe from vacuum in the terminal phase cannot be ruled out.

**Keywords: **multidimensional
Universe, twin particles, virtual reality, accelerated expansion of the
Universe, Einsten-Rosen-Podolski
paradox.

**SUMMARY**

**ON THE MULTIDIMENSIONAL MODEL OF THE SPACE-TIME AND
THE RELATIVITY OF THE NUMBER**

**Sepiashvili**** D.P.**

**LLC “Oncological
Clinic”**

**Georgian Engineering Academy**

The time-spatial
structure of the Universe is multidimensional. Real particles in vacuum exist
in the form of duplicates virtual realities hidden in the space-time of high
dimensionality. Hence, the number of objects is relative, and our notion of the
number is too simple and does not correspond to the reality. The total energy
of the multidimensional particle is higher than that observed in the real
space-time. It is equal to _{}where *E* is the energy
of realization of the real particle; *i* is the number of
virtual twins of the particle. The higher is the number of virtual twins of the
particle, the lower is its actual energy, and the higher is its dimensionality.
The twins can interact with one another and with real objects. The first is
manifested in the dark energy, the latter – in the form of the fields of
different forces of interaction (electric, gravitational etc.). The cause of
accelerated expansion of the Universe should be sought for in the multidimentional structure of the Metauniverse
and in double (at least) direction of its development (double direction of
time). The repeated genesis of the Universe from vacuum in the terminal phase
cannot be ruled out.

**Keywords: **multidimensional
Universe, duplicate particles, virtual reality, accelerated expansion of the
Universe, Einsten-Rosen-Podolski
paradox.

**SUMMARY**

**TWO ENDS OF THE EVOLUTION**

**Sepiashvili**** D.P.**

**LLC “Oncological
Clinic”**

At the dawn of the advent of life,
large space bodies of ten collided with the Earth, megavolcanoes
were very active. The dust raised from the surface of the Earth reached the
ionosphere, where the magnetic
field of the Earth could not screen the
dust from the action of cosmic rays (α,β,
γ and UV radiation). Under the actionof
cosmic rays, probably crystallization and the reactions of abiogenic
synthesis and polymerization of organic substances took place on the earth
dust. The asymmetric effect
of cosmic rays on the primary earth dust promoted its asymmetric crystallization and the advent
of the phenomenon of kirriality. The advent of life
is the process of ordering of the structure of prebiotic
physical-chemical systems in respect to the conditions of changing phase states
(phase transitions of the first- and the second-order), of the adaptation via
adding complexity to the structure.

**Keywords: **advent of life,
environmental catastrophes, pathology, primary dust of the Earth, ionosphere,
cosmic rays.

**Investigation of magnetic carbon nanopowder doped with
iron atom clusters**

**Kutelia**** E.R., Rukhadze L.N., Maisuradze
N.I., Kukava T.G., Tsurtsumia
O.O., Eristavi B.G., **

**Dzigrashvili**** T.A., Kuchalashvili
G.V. and Padgurskas J.A. **

**Republic**** Center
for Structure Research, **

**Department of Mechanical Engineering, Lithuania **

**Abstract. **A complex investigation of the morphology, sizes and composition of carbon nanoparticles doped with iron atom clusters in the carbon nanopowders synthesized on the surface of iron plate
(substrate) was performed using SEM, EDX and AES. It was shown that the
magnetic carbon nanopowder, synthesized at 700^{O}C
by the combination of ethanol vapor pyrolysis and
chemical-vapor deposition (CVD) in the free-poured
state, represents a nanocomposite, which is a mixture
of carbon spherical nanoparticles (NP) with the
average diameter of ~200nm and carbon nanotubes (NT)
having the diameter of ≤200nm and the lengths of ~1µ. The carbon nanoparticles have a structure of core-shell type spheres
with the core of pure iron atom clusters, while in carbon nanotubes
the iron atom clusters are mainly concentrated at one end of nanotubes,
exactly at the tube channel inlet. The iron concentration in carbon nanopowder of such composition is equal to 2.1 at%.

**Keywords:** doped carbon nanopowder,
nanoparticles, nanotubes,
iron clusters, SEM, EDX, AES.

**SUMMARY**

**SUPERCRITICAL NANOSTRUCTURES PbSe
/ KCl**

**Pashaev**** A.M., Davarashvili
O.I., Enukashvili M.I., Gulyaev
R.G. and Zlomanov V.P.**

**National**** Aviation Academy
of Azerbaijan, **

**Iv. **

**M.V.**** Lomonosov Moscow
**

We obtained and investigated supercritical nanostructures PbSe/KCl for the first time. The range of realized elastic deformations in the layers with respect to single crystal PbSe and KCl substrate was 0.001-0.013, which is the most interesting for physical research. The level of deformation in the layers within a certain range of their changes could be increased by increasing the rate of growth of the layers. This effect is more noticeable if the disordered state is not frozen and the migration of dislocations slows down.

**Keywords:** nanostructure,
critical thickness, elastic deformation, stress relaxation, layer growth rate,
disordered state.

OPTICAL SWITCHING MECHANISM IN DOUBLE-INJECTION GaP DEVICES

**Kvitsiani**** O.R., Laperashvili
D.L., Laperashvili T. A. and Imerlishvili I.I.**

**V. Chavchanidze
Institute of Cybernetics, Georgian Technical University**

**Abstract**:
The results of the investigation of the mechanism of optical switching in GaP-based diodes with the S-type volt-current
characteristic at 300^{0} C are discussed. The semiconductor
optoelectronic switch was fabricated in a Light Emission Diode configuration.
The samples used in the experiment were partially compensated n-type GaP. The theory of double injection of charge carriers in
the semiconductor was used for description of the switching mechanism.

**Keywords:** optical switch, compensated semiconductor, double injection.

**THE METHOD OF
FABRICATION AND THE PROPERTIES OF GaAs SCHOTTKY
DIODES**

** **

**Kvitziani**** O.R., Laperashvili
D.L., Laperashvili T.A. and Imerlishvili
I.I.**

**V. Chavchanidze Institute of Cybernetics, Georgian Technical
University **

**Abstract**. The results of
investigation of the electrical and photoelectric properties of Schottky diodes based on n-type GaAs
are presented. The samples were obtained by electroless
and electrochemical deposition of different metals (Au, Ni, Pt, Pd, Fe, In, Ga, Al) on the semiconductor. In the experiments aqueous
solutions of metal chlorides were used as electrolytes.

**Keywords**: Schottky diode, electrochemical
deposition, barrier height, terahertz.

**SUMMARY**

**SAFE BURIAL OF RADIOACTIVE WASTE**

**Begiashvili**** G.A., Gvatua N.Sh. and Gvatua Sh.Sh.**

**V. Chavchanidze Institute of
Cybernetics, Georgian
Technical University **

The article deals with a novel method of long-term storage of the radioactive waste (RW) of nuclear power stations in deep geological formations, for example, in exhausted mines/excavations. The essence of the method consists in insertion of up to 10 wt.% RW in to the cement mass, reinforced with rods and fiber made of basalt fibers 3-5 mm in length and 7-12μm in diameter, production of cement blocks and coating of their surfaces with paste on the basis of epoxy doped with basalt micro-dispersed powder and fiber.

**Keywords:** radioactive
wastes, storage, basalt fiber.

**Summary**

**Determination
of the Percentage Content of Arsenic in the Wastes of the racha mining-chemical
Plant**

**Chachava**** G.N., Gverdtsiteli M.I., Rusia M.Sh., Gurgenidze N.I. and Chachava G.G.**

**Iv. **

The percentage content of arsenic in the wastes (realgar, auripigment) of the Racha Mining-Chemical Plant was studied. It was determined
that arsenic content varied in the range of 1.80-2.72%. The methods of
production of useful products from the wastes were developed.

**Keywords: **arsenic,
percentage content, industrial wastes, mining-chemical production.

**Summary**

**Mathematical-Chemical Investigation
of Hg(I) Halides
within the Scope of Pseudo- _{}-matrices Method**

**Chachava**** G****. N., Bedinashvili M.V., Lobdjanidze B.G. and Gverdtsiteli
M.I.**

**Iv. Javakhishvili
Tbilisi State University**

Hg(I)
halides were studied within the scope of the ** _{}**-matrices method.
Three correlation equations were derived and investigated. The
calculations showed that, according Japhe’s
criterion, the correlations
were good.

**Keywords:** Hg(I) halides, ** _{}**-matrices method, correlation equations.

**Mathematical-chemical
Investigation of methacrylic acid**

**Karchkhadze**** M.G. and Gverdtsiteli
M.I.**

**Iv. **

**Abstract.** The esters of methacrylic acid were studied
within the scope of the quasi-ANB-matrices method. Two correlation equations of
the type „structure-properties” were derived and investigated. The
calculation results
showed that, according to Jaffe’s criterium, the correlations were good.

**Keywords:** esters, methacrylic acid, quasi-ANB-matrices method, correlation
equations.

**Summary**

**MathematicAL-chemical
study of some redox
reactions with participation of ****[Co(NH _{3})_{5}Hal]^{2+}**

**Chachava**** G.N., Rusia M.Sh. and Gverdtsiteli M.I.**

**Iv. **

Two correlation equations of the ,,structure-properties” type were derived and investigated within the scope of the pseudo-ANB-matrices method. The calculation showed that, in accordance with Japhe’s criterion, the correlation was good.

**Keywords:
**redox reactions, pseudo-ANB-matrix, correlation equations.

**SUMMARY**

**MATHEMATICAL-CHEMICAL INVESTIGATION OF LINEARLY
CONDENSED HYDROCARBONS CONTAINING THE BENZENE CYCLE**

**Tsivtsivadze**** T.I., Tsetsadze N.R. and Gverdtsiteli
M.I.**

**Iv. Javakhishvili Tbilisi
State University**

Linearly condesed hydrocarbons containing the benzene cycle were studied within the scope of the block-matrices method. Two correlation equations were derived and investigated. The calculations showed that the correlation was good.

**Keywords: **hydrocarbons,
benzene cycle, block-matrices method.

**SUMMARY**

**MATHEMATICAL-CHEMICAL
INVESTIGATION OF THE REACTIONS OF RADICAL HALOGENATION OF METHANE**

**Tsivtsivadze**** T.I., Tsetsadze N.R. and Gverdtsiteli
M.I.**

**Georgian**** Technical
University**

**Iv. Javakhishvili Tbilisi
State University**

Mathematical-chemical investigation of the reactions of radical halogenation of methane was carried out within the scope of pseudo-ANB-matrices method, the modernized method of Shennon’s information entropy and topological indecies method.

**Keywords: **radical halogenation, methane, Shennon’s
information entropy.

**N****OVEL**** ****24-****MEMBERED**** M****ACROCYCLIC**** P****OLYAZOMETHINES IMMOBILIZED**** ****ON SILICA GEL**

**Topuria Kh.D., Obolashvili N.Z., Karkusashvili T.G. and Geliashvili Z.E.**

**Georgian**** Technical University**

**Abstract.
**With the aim of synthesizing the fluorescent pigments, the immobilization
of macrocyclic polyazomethines on the surface of silica
gel preliminarily activated with cyanuric chloride
was performed. It was established that the immobilization did not cause
fluorescence quenching.

**Keywords:** polyazomethine,
fluorescent pigments, immobilization, silica gel.

**SUMMARY**

**THE INFLUENCE OF MACERATION AND ENZYMIC PREPARATIONS ON THE AROMATIC
COMPOUNDS IN RED WINES**

**Mamaiashvili**** Kh.V., Khomasuridze M.B. and Kalatozishvili E.I.**

**Georgian**** Technical University**

For production of aromatic high-quality wine there was performed pre-fermentation maceration with enzymic
preparations of pectolitic
and cellulose activity: Lafaze He Grand Cru, Laffort; Panzym Clair Rapide G-Begerow;
Extrazim-Institute oenologique de champagne. Along with the experimental samples, the control samples were prepared
without addition of any preparation. According to the wine type, pre-fermentation
maceration was conducted at 12-14^{0}C, alcoholic fermentation of the Saperavi must was
carried out at 20-22^{0}C, whereas the Tavkveri must
was fermented at 25-30^{0}C. The
aromatic compounds were determined by using the gas-liquid chromatograph Chrom 5. In the experiment, it was revealed that the use of enzymic preparations increased the content of aromatic
compounds. It is essential to control the temperature during maceration and
fermentation. The optimal temperature for maceration is 12-14^{0}C, and the
fermentation temperature must not exceed 22^{0}C. Based on the obtained results, we recommend to use enzymic preparation Lafaze He Grand Cru for production of high-quality wine
with rich fruit and flower aroma from grape cultivar Tavkveri
and preparation Extrazim – for production of wine
from grape cultivar Saperavi.

**Keywords: **red** **wine, enzymic preparations, fermentation, maceration.

**SUMMARY**

**ON THE
IMPROVEMENT OF DRIVER’S HEALTH AND CAPACITY FOR WORK**

**Ch****abukiani**** R.R., Purtskhvanidze G.N. and Kharatishvili
A.G.**

**Akaki**** Tsereteli
State University,
**

In the article, the adverse effect of
automobile transport on driver’s health is discussed. In particular, it is
shown that this transport provokes the desease of our
century-hypodynamia. Nowadays, when the concentration
of thinking, the psychic state, the capacity for work and the health in general
are the focus of attention, the provision of vehicle driver with antihypodynamia seats is of key importance.

**Keywords: **automobile, driver’s seat, driver’s
health, capacity for work.

**SUMMARY**

**THE FOOT AS A BIOMECHANICAL
CENTER OF THE MUSCULOSKELETAL SYSTEM**

**Grdzelidze M.G.**

**Akaki Tsereteli State
University, Kutaisi**

The paper deals with the dstribution of sense receptors on the foot and the
importance of adequacy of the relief of the inner supporting part of shoes with
plantar part of the foot for designing of rational footwear.

**Keywords: **footwear, foot, sense receptors.