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Search Results: 1 - 10 of 175 matches for " Shota Makharadze "
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Regular Elements of the Complete Semigroups BX(D) of Binary Relations of the Class ∑2(X,8)  [PDF]
Nino Tsinaridze, Shota Makharadze
Applied Mathematics (AM) , 2015, DOI: 10.4236/am.2015.63042
Abstract: As we know if D is a complete X-semilattice of unions then semigroup Bx(D) possesses a right unit iff D is an XI-semilattice of unions. The investigation of those a-idempotent and regular elements of semigroups Bx(D) requires an investigation of XI-subsemilattices of semilattice D for which V(D,a)=Q2(X,8) . Because the semilattice Q of the class ∑2(X,8) are not always XI -semilattices, there is a need of full description for those idempotent and regular elements when V(D,a)=Q . For the case where X is a finite set we derive formulas by calculating the numbers of such regular elements and right units for which V(D,a)=Q .
Regular Elements of the Semigroup B X (D) Defined by Semilattices of the Class Σ2 (X, 8) and Their Calculation Formulas  [PDF]
Nino Tsinaridze, Shota Makharadze, Guladi Fartenadze
Applied Mathematics (AM) , 2015, DOI: 10.4236/am.2015.614199
Abstract: The paper gives description of regular elements of the semigroup B X (D) which are defined by semilattices of the class Σ2 (X, 8), for which intersection the minimal elements is not empty. When X is a finite set, the formulas are derived, by means of which the number of regular elements of the semigroup is calculated. In this case the set of all regular elements is a subsemigroup of the semigroup B X (D) which is defined by semilattices of the class Σ2 (X, 8).
Complete Semigroups of Binary Relations Defined by Semilattices of the Class ∑1(X,10)  [PDF]
Shota Makharadze, Ne?et Ayd?n, Ali Erdo?an
Applied Mathematics (AM) , 2015, DOI: 10.4236/am.2015.62026
Abstract: In this paper we give a full description of idempotent elements of the semigroup BX (D), which are defined by semilattices of the class 1 (X, 10). For the case where X is a finite set we derive formulas by means of which we can calculate the numbers of idempotent elements of the respective semigroup.
Unsteady Behavior of Cavitating Waterjet in an Axisymmetric Convergent-Divergent Nozzle: High Speed Observation and Image Analysis Based on Frame Difference Method  [PDF]
Shota Hayashi, Keiichi Sato
Journal of Flow Control, Measurement & Visualization (JFCMV) , 2014, DOI: 10.4236/jfcmv.2014.23011
Abstract: Although it is well known that cloud cavitation shows unsteady behavior with the growing motion of an attached cavity, the shedding motion of a cloud, the collapsing motion of the cloud shed downstream and a reentrant motion in flow fields such as on a 2-D hydrofoil and in a convergent- divergent channel with a rectangular cross-section, observations for the periodic behavior of cloud cavitation in a cylindrical nozzle with a convergent-divergent part, which is mainly used in an industrial field, have hardly been conducted. From engineering viewpoints, it is important to elucidate the mechanism of periodic cavitation behavior in a cylindrical nozzle. In this study, a high-speed observation technique with an image analysis technique was applied to the cloud cavitation behavior in the nozzle to make clear the mechanism of unsteady behavior. As a result, it was observed in the nozzle that the periodic behavior occurs in the cloud cavitation and pressure waves form at the collapse of clouds shed downstream. Also, it was found through the image analysis based on the present technique that the pressure wave plays a role as a trigger mechanism to cause a reentrant motion at the downstream end of an attached cavity.
The Promotion Rule under Imperfect Observability of the Employee’s Ability  [PDF]
Shota Araki, Daiji Kawaguchi
Theoretical Economics Letters (TEL) , 2014, DOI: 10.4236/tel.2014.48084
Abstract: This note provides the closed-form solution for the model by Lazear [1]. The employer adjusts the performance standard for promotion when the employer observes only the imperfect index of the employee’s ability. The adjustment margin is larger when the performance depends heavily on luck and depends lightly on the employee’s ability.
Method for Evaluating the Influence of Obstruction of Sea Breeze by Clusters of High-Rise Buildings on the Urban Heat Island Effect  [PDF]
Shota Sashiyama, Kayoko Yamamoto
Journal of Environmental Protection (JEP) , 2014, DOI: 10.4236/jep.2014.511099
Abstract:

This study aims to propose a method for quantitatively evaluating the influence which the obstruction of sea breezes by clusters of high-rise buildings has on the urban heat island effect using a weather simulation model and Geographic Information Systems (GIS). Specifically, a method of evaluating the influence of the obstruction of sea breeze by high-rise buildings on the urban heat island effect was proposed. In the method, two scenarios that imagine urban forms which differ with regard to whether or not they contain high-rise buildings are created and weather simulation is conducted, and the results of the simulations are comparatively analyzed focusing on temperature and wind speed. Evaluation was conducted in two stages, and Shiodome of Minato City in the Tokyo Metropolis was selected as the region for evaluation. In two stages of evaluation, a rise in temperature of approximately 0.3 K and a reduction in wind speed of approximately 1 m/s were observed in a region approximately five to ten kilometers square downwind of high-rise buildings in the period 6 PM to 9 PM, and a higher temperature caused by the obstruction of sea breeze by high-rise buildings was identified. The fact that such a higher temperature was confirmed in the time period from 6 PM onwards, in which the temperature decreases, reveals that obstruction of sea breeze by high-rise buildings dulls the decrease in temperature which occurs from evening onwards, and influences nighttime urban heat island formation.

Urgent Problems in Learning the Public Administration (on the Example of Georgia)
Shota Dogonadze
European Researcher , 2011,
Abstract: Public management can and should be taught. Former Soviet Republics, including Georgia are facing this acute problem. Some attention is directed to management training, but public management stays in the background, although it is evident that major political and economic problems of Georgia and other countries of so-called “fledging democracies” arise due to the government theory neglect. The article considers development of administrative way of thinking starting from political doctrine to managerial approach, prospects for public management principles development, existing educational models. The epoch of classic universities is passing; with the help of textbooks students can only make courseworks. That’s why the use of innovative methods is necessary for students training.
Decompounding under Gaussian noise
Shota Gugushvili
Mathematics , 2007,
Abstract: Assuming that a stochastic process $X=(X_t)_{t\geq 0}$ is a sum of a compound Poisson process $Y=(Y_t)_{t\geq 0}$ with known intensity $\lambda$ and unknown jump size density $f,$ and an independent Brownian motion $Z=(Z_t)_{t\geq 0},$ we consider the problem of nonparametric estimation of $f$ from low frequency observations from $X.$ The estimator of $f$ is constructed via Fourier inversion and kernel smoothing. Our main result deals with asymptotic normality of the proposed estimator at a fixed point.
Convergence of Infinite Composition of Entire Functions
Shota Kojima
Mathematics , 2010,
Abstract: The purpose of the present article is to obtain the condition that the function defined by infinite composition of entire functions becomes an entire function. Moreover, as an example of such functions, we study a function called Poincare function.
Nonparametric estimation of the characteristic triplet of a discretely observed Lévy process
Shota Gugushvili
Mathematics , 2008,
Abstract: Given a discrete time sample $X_1,... X_n$ from a L\'evy process $X=(X_t)_{t\geq 0}$ of a finite jump activity, we study the problem of nonparametric estimation of the characteristic triplet $(\gamma,\sigma^2,\rho)$ corresponding to the process $X.$ Based on Fourier inversion and kernel smoothing, we propose estimators of $\gamma,\sigma^2$ and $\rho$ and study their asymptotic behaviour. The obtained results include derivation of upper bounds on the mean square error of the estimators of $\gamma$ and $\sigma^2$ and an upper bound on the mean integrated square error of an estimator of $\rho.$
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