2005
29
2
2
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SOME SPECTRAL PROPERTIES OF STURMLIOUVILLE PROBLEM WITH TRANSMISSION CONDITIONS
2
2
We investigate the boundaryvalue problem generated by the SturmLiouville equation withdiscontinuous coefficients, eigenparameter dependent boundary conditions and transmission conditionsat the point of discontinuity. With a different approach we introduce an adequate Hilbert spaceformulation, investigate some properties of eigenvalues, Green’s function and resolvent operator, andfind simple conditions on the coefficients which guarantee the selfadjointness of the consideredproblem.
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229
245


M.
KADAKAL
Ondokuz Mayis University, Science and Arts Faculty, Department of Mathematics
55139 Kurupelit, Samsun, Turkey
Ondokuz Mayis University, Science and Arts
Turkey


O. SH.
MUKHTAROV
Gaziosmanpasa University, Science and Arts Faculty, Department of Mathematics
60000TokatTurkey
Gaziosmanpasa University, Science and Arts
Turkey


F. S.
MUHTAROV
Azerbaijan Science Academy, Mathematics and Mechanic
Institute, BakuAzerbaijan
Azerbaijan Science Academy, Mathematics and
Azerbaijan
SturmLiouville problem
eigenvalue
eigenfunction
Green’s function
resolvent operator
NUMERICAL EVALUATION OF THREESTEP SELECTIVE PHOTOIONIZATION OF GD157 AND GD155 ISOTOPES
2
2
A threestep selective photoionization for Gd155 and Gd157 isotopes by pulsed laser wasevaluated numerically. Due to large thermal neutron absorption cross sections, these two isotopes innatural gadolinium are good candidates as burnable poison to control reactivity early in the fuel cycleand allow extended fuel burn up. Rate equations have been used to calculate the dynamics of the isotopepopulations, ionization rate, and selection factor. Doppler broadening, as well as power broadening foratomic energy levels, has been considered in the calculations. The effects of laser intensity, frequencybandwidth, and laser detuning in the ionization process have also been assessed. By applying a variety ofconditions, the sensitivity of different parameters in the ionization process was investigated. The resultsshow that the ionization yield increases with the intensities of lasers, and becomes saturated at somespecific values. Depending on the energy bandwidth of each state, laser bandwidth and the detuning oflasers greater than particular values can affect the ionization yield. Due to small and finite isotope shiftsof energy states, the selection factor can be influenced by detuning and laser bandwidth. From theresults, it can be inferred that for Gd155 and Gd157 isotopes, ionization is more sensitive to the first andsecond laser bandwidth and detuning. From these results, optimum selection factors and ionization byusing appropriate laser intensities, bandwidth, and detuning can be achieved.
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247
257


M. H.
MAHDIEH
Department of Physics, Iran University of Science and Technology,
Narmak, Tehran, I. R. of Iran
Department of Physics, Iran University of
Iran


F.
MARSUSI
Department of Physics, Iran University of Science and Technology,
Narmak, Tehran, I. R. of Iran
Department of Physics, Iran University of
Iran
Photoionization
multistep photoionization
selective photoionization
pulse laser
photonatom interaction
DISTRIBUTION FUNCTIONS IN LIGHT OF THE UNCERTAINTY PRINCIPLE
2
2
Here, we have considered the Husimi and Wigner distribution functions. We have, inparticular, shown how the uncertainty principle works for the two cases of simple and damped harmonicoscillators when either of these two distributions are used. The conclusion shows that the Husimidistribution function remains nonnegative through the phase space but it does not always satisfies theuncertainty principle. On the other hand the Wigner distribution function while becoming negative incertain regions of the phase space do not violate the uncertainty principle.
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259
269


S.
NASIRI
Department of Physics, Zanjan University, Zanjan, I. R. of Iran
and Institute for Advanced Studies in Basic Sciences, IASBS, Zanjan, I. R. of Iran
Department of Physics, Zanjan University,
Iran
Distribution functions
uncertainty principle
damped harmonic oscillator
A NEW DIGITAL PROTECTIVE RELAY BASED ON FUZZY LOGIC AND VALUE ESTIMATION
2
2
In this paper, design and application of a new digital protective relay based on fuzzy logicand value estimation to a radial power system protection was presented. A novel approach based onvalue estimation was investigated for the proposed fuzzy logic based protective relay. In addition to thetheoretical aspect of fuzzy logic, mathematical definition of value estimation, detection andmeasurement of faulty current, determination of its duration, decision mechanism and detailed systemarchitecture were also introduced. The examined technique based on fuzzy logic and value estimation tocontrol the protection action of the protective relay was intended to improve the performance of aconventional protective relay control for human safety and system reliability with the use of a fuzzylogic controller. The difference between estimated and sampled values was used to form the rule base.Proposed relay architecture was used as a detector and was developed to predict faults and to protectparticular sections of a designed prototype radial power system at an early stage. Performance analysiswas made, and related results and discussion were given.
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267
276


K.
ERENTURK
Dept. of Electrical Eng., Faculty of Engineering, Ataturk University, 25240, Erzurum, Turkey
Dept. of Electrical Eng., Faculty of Engineering,
Turkey
Value estimation
fuzzy control
AC transmission
fault detection
digital protective relay
KAON ELECTROPRODUCTION OFF PROTON
2
2
The elementary reaction of kaon exclusive electroproduction on protons has been studied ina broad kinematical range. Data for the calculation of the form factor of the kaon have been taken atdifferent values of the invariant center of mass energy W in the range W=1.8, 1.85, 1.98, 2.08 (GeV), forone value of the transferred 4momentum Q2=2.35 (GeV/c)2. In this analysis, we calculated σL and σT byusing the Rosenbluth separation. Then the electromagnetic kaon form factor was calculated by ChewLow extrapolation.
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277
285


N.
GHAHRAMANY
Department of Physics, Shiraz University, Shiraz, I. R. of Iran, 71454
Department of Physics, Shiraz University,
Iran


M.
GHANAATIAN
Department of Physics, Shiraz University, Shiraz, I. R. of Iran, 71454
Department of Physics, Shiraz University,
Iran
Electroproduction
kaon
form factor
rosenbluth separation
AN INFLUENCE APPROACH FOR SENSITIVITY ANALYSIS OF NONRANDOM DROPOUT BASED ON THE COVARIANCE STRUCTURE
2
2
A generalized Heckman model is used for the joint modeling of longitudinal continuousresponses and dropout in order to see the influence of a small perturbation of the elements of thecovariance structure on displacement of the likelihood. The perturbation from random dropout in thedirection of informative dropout is considered for Mastitis data.
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287
294


M.
GANJALI
Dept. of Statistics, Faculty of Mathematical Sciences,
Shahid Beheshti University, Tehran, I. R. of Iran
Dept. of Statistics, Faculty of Mathematical
Iran


M.
REZAEI
Dept. of Statistics, Faculty of Mathematical Sciences,
Shahid Beheshti University, Tehran, I. R. of Iran
Dept. of Statistics, Faculty of Mathematical
Iran
Longitudinal data
Informative dropout
Sensitivity analysis
Generalized Heckman model
EXISTENCE RESULTS FOR A CLASS OF SEMILINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS
2
2
We consider the semilinear elliptic boundary value problem = ∈∂Ω− Δ = ∈Ωu x xu x f u x x( ) 0;( ) λ ( ( ));where λ > 0 is a parameter, Ω is a bounded region in RN with a smooth boundary, and f is asmooth function. We prove, under some additional conditions, the existence of a positive solution for λlarge. We prove that our solution u for λ large is such that = →∞∈Ω u : sup u(x) xas λ →∞.Also, in the case of N = 1, we use a bifurcation theory to show that the solution is unstable.
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296
304


G. A.
AFROUZI
Department of Mathematics, Faculty of Basic Sciences
Mazandaran University, Babolsar, I. R. of Iran
Department of Mathematics, Faculty of Basic
Iran


M.
JAFARI
Department of Mathematics, Faculty of Basic Sciences
Mazandaran University, Babolsar, I. R. of Iran
Department of Mathematics, Faculty of Basic
Iran
Semilinear elliptic problem
positive solution
unstable solution
APPLICATION OF FUZZY LOGIC TO A LEAKAGE CURRENT RELAY
2
2
The design and application of a fuzzy logic based controller to a leakage current relay waspresented in this paper. A novel approach based on fuzzy logic to form the tripping action of leakagecurrent relay was investigated. In addition to the theoretical aspect of fuzzy logic, detection of a leakagecurrent, measurement of the leakage current, determination of its duration, trip opening of faulty casesand detailed system architecture were also introduced. The inspected fuzzy logic technique to control thetripping action of the leakage current relay was intended to improve the performance of conventionalleakage current relay control for human safety and system reliability. The relationship between thecontrolled output of the fuzzy processor and properties of leakage current for the proposed relay wasexplored by using a graphical output expression. It was observed that the proposed leakage current relaybased on fuzzy logic was more reliable than conventional leakage current relay.
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305
317


K.
ERENTURK
Dept. of Electronic Eng., Engineering Faculty, Ataturk University, 25240, Erzurum, Turkey
Dept. of Electronic Eng., Engineering Faculty,
Turkey
Fuzzy Logic
leakage current relay
intelligent protection
rulebase design
radial power system
THE COHERENT ANOMALY METHOD IN THE STUDYING OF THE S=1 ISING CHAINS WITH LONGRANGE INTERACTION
2
2
The coherent anomaly method and a cluster meanfield approach combined with finitesizescaling extrapolation were used to determine the critical temperature and the critical exponents of aS =1 Ising chain with a longrange interaction in the form of 1/ r1+σ . The results of criticaltemperature are in good agreement with the recent results of the finiterange scaling method and aremore accurate in the classical region. The critical exponents are in agreement with the results of spin21Ising chains and indicate that the critical exponents are independent of the magnitude of spin in Isingmodels with longrange interactions.
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319
323


A.
RAMAZANI
Department of Physics, Kashan University, Kashan, I. R. of Iran
Department of Physics, Kashan University,
Iran
Coherent anomaly
critical phenomena
critical exponents
Ising model
A STUDY ON TIMELIKE COMPLEMENTARY RULED SURFACES IN THE MINKOWSKI nSPACE
2
2
For the first time in the Minkowski space, an Rn 1 timelike complementary ruled surface isdescribed and relations are given connected with an asymptotic and tangential bundle of the timelikecomplementary ruled surface. Furthermore, theorems are given related to edge space, central space andcentral ruled surface of this complementary ruled surface.
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325
333


M.
TOSUN
Department of Mathematics, Sakarya University, Sakarya, Turkey
Department of Mathematics, Sakarya University,
Turkey
tosun@sau.edu.tr


M. A.
GUNGOR
Department of Mathematics, Sakarya University, Sakarya, Turkey
Department of Mathematics, Sakarya University,
Turkey
Minkowski space
ruled surfaces
complementary ruled surfaces