2004
28
2
2
109
GREEN FUNCTION OF AXISYMMETRIC MAGNETOSTATICS
2
2
A simple new closed form of the Green function for axisymmetric magnetostatic problemsis found analytically in cylindrical coordinates. The result is verified by applying several examples.
1

197
204


F.
DINI
Department of Plasma Physics, Nuclear Fusion Research Center, P. O. Box 141551339,
Amirabad, Tehran, I. R. of Iran
Department of Plasma Physics, Nuclear Fusion
Iran


S.
KHORASANI
Department of Plasma Physics, Nuclear Fusion Research Center, P. O. Box 141551339,
Amirabad, Tehran, I. R. of Iran
Department of Plasma Physics, Nuclear Fusion
Iran


R.
AMROLLAHI
Faculty of Physics, Amir Kabir University of Technology, Hafez Ave.,
Tehran, I. R. of Iran
Faculty of Physics, Amir Kabir University
Iran
Magnetostatics
green functions
partial differential equations
electromagnetics
RING RESONATOR COUPLED MZ ALLOPTICAL SWITCH BY USING A PUMPED NONLINEAR DIRECTIONAL COUPLER
2
2
We propose a new ring resonator sidecoupled MZ interferometer alloptical switch throughthe pumped nonlinear directional coupler. By controlling pump power P to lead the coupler reflectivityr approaching to 1, the resonator finesse will be enhanced dramatically, and then the minimumswitching power in silicabased practice devices can be obtained. As a sample, we use a nonlinearcoupler made by two erbiumdoped fibers, and launch a 514.5nmpump light into one of the cores tomake the reflective index difference between two cores. Based on the asymmetriccoupler theory, wesimulate the relationship between r and P , and show that the required pump power is only 0.8mWfor r →1 .
1

205
210


A.
BANANEJ
Institute of Modern Optics, Department of Physics, Harbin Institute of Technology
Harbin 150001, China
Institute of Modern Optics, Department of
China


C. F.
Li
Institute of Modern Optics, Department of Physics, Harbin Institute of Technology
Institute of Modern Optics, Department of
China


G. M.
XU
Institute of Modern Optics, Department of Physics, Harbin Institute of Technology
Institute of Modern Optics, Department of
China
All optical switches
MachZehnder interferometer
switching power
ring resonator
directional coupler
Erbiumdoped fiber
nonlinear refractive index
THE STRONG LAW OF LARGE NUMBERS FOR PAIRWISE NEGATIVELY DEPENDENT RANDOM VARIABLES
2
2
In this paper, strong laws of large numbers (SLLN) are obtained for the sums ƒ°=nii X1, undercertain conditions, where {X ,n . 1} n is a sequence of pairwise negatively dependent random variables.
1

211
217


H. R.
NILI SANI
Department of Statistics, School of Mathematical Sciences, Ferdowsi University, Mashhad, I. R. of Iran
Department of Statistics, School of Mathematical
Iran


H. A.
AZARNOOSH
Department of Statistics, School of Mathematical Sciences, Ferdowsi University, Mashhad, I. R. of Iran
Department of Statistics, School of Mathematical
Iran


A.
BOZORGNIA
Department of Statistics, School of Mathematical Sciences, Ferdowsi University, Mashhad, I. R. of Iran
Department of Statistics, School of Mathematical
Iran
Strong law of large numbers
pairwise negatively dependent random variables
CONTROLLING CHAOS IN 2DIMENSIONAL SYSTEMS
2
2
A chaos control method suggested by Erjaee has been reviewed. It has been shown that thistechnique can be applied in various evolutionary systems of 2dimensional types. The method has beenapplied for cases of the Henon map, as well as Burger’s map. The limitations of the control techniquehave also been discussed by considering the Standard Map and the GumowskiMira map. The resultsobtained through numerical calculations are very interesting and significant. This technique has someadvantages over many other techniques of chaos control in discrete systems.
1

219
226


L. M.
SAHA
Department of Mathematics, Zakir Husain College, University of Delhi, New Delhi – 110002, India
Department of Mathematics, Zakir Husain College,
India


G. H.
ERJAEE
Mathematics Department, College of Science, Shiraz University, Shiraz, I. R. of Iran
Mathematics Department, College of Science,
Iran


M.
BUDHRAJA
Department of Mathematics, Shivaji College, University of Delhi,
New Delhi, 110027, India
Department of Mathematics, Shivaji College,
India
asymptotic stability
control parameter
chaos
STUDY OF THE DISTORTED LAYER STRUCTURE OF SILICON WAFERS BY THE METHOD OF PLASMACHEMICAL ETCHING AFTER MECHANICAL MACHINING PROCESSES
2
2
In this experimental work, by using the method of plasmachemical etching, we have dealtwith the causes of the creation of a distorted layer on the surface of silicon wafers during mechanicalmachining processes, in addition, the elucidation of connections between the structure of this layer andcharacteristic parameters of the mechanical strength of these wafers have been studied. Experimentalresults obtained at room temperature show that after cutting and grinding processes, the mean value ofmechanical strength σ, which is apparently independent of the types of conductivity, is significantlylower than its theoretical value. Analysis of the dependence of mechanical parameters on the time ofplasmachemical etching indicates that the lower values obtained for the mechanical strength of siliconwafers is basically due to the existence of a distorted layer and corresponding internal stresses created onthe surface of these wafers after mechanical machining. Plasmachemical etching leads to an increase inσ value. Dependency of σ on the etching time is qualitatively described by the microstructure of thedistorted layer and parameters of the micro relief surface of the wafers. Correlation between parametersσ, H, K and the microstructure of the distorted layer allows us to suggest the method of plasma chemicaletching as a method of investigating the microstructure of the distorted layer after the mechanicalmachining processes.
1

227
234


H.
BIDADI
Faculty of physics, Tabriz University, Tabriz, I. R. of Iran, 51664
Faculty of physics, Tabriz University, Tabriz,
Iran


S.
SOBHANIAN
Faculty of physics, Tabriz University, Tabriz, I. R. of Iran, 51664
Faculty of physics, Tabriz University, Tabriz,
Iran


SH.
HASANLI
National Academy of Sciences, Azerbaijan Republic
National Academy of Sciences, Azerbaijan
Azerbaijan


M.
MAZIDI
Faculty of physics, Tabriz University, Tabriz, I. R. of Iran, 51664
Faculty of physics, Tabriz University, Tabriz,
Iran


M.
KARIMI
Faculty of physics, Tabriz University, Tabriz, I. R. of Iran, 51664
Faculty of physics, Tabriz University, Tabriz,
Iran
Mechanical properties
silicon wafers
cutting
grinding and etching
COUNTEREXAMPLES IN a−MINIMAL SETS
2
2
Several tables have been given due to a − minimal sets. Our main aim in this paper is tocomplete these tables by employing several examples.
1

235
256


F.
AYATOLLAH ZADEH SHIRAZI
Department of Mathematics, Faculty of Science, Tehran University, Enghelab Ave., Tehran, I. R. of Iran
Department of Mathematics, Faculty of Science,
Iran


M.
SABBAGHAN
Department of Mathematics, Faculty of Science, Tehran University, Enghelab Ave., Tehran, I. R. of Iran
Department of Mathematics, Faculty of Science,
Iran
a − minimal set
Distal
enveloping semigroup
proximal relation
trasformation semigroup
IMPROVED MIT BAG MODEL WITH HYPER CENTRAL INTERACTING POTENTIAL
2
2
An improved MIT bag model with hyper central interactions is used to calculate the staticproperties of hadrons containing u, d, s and c quarks. We present a theoretical approach to the internalstructure of threebody hyper central interacting quarks in a hadron, in which we take hadron as a bag.We discuss a few of the results obtained using a sixdimension harmonic oscilator (h.o) potential, havinga twobody character, which turns out to be a hyper central confinement part. The other potential is sixdimensional,which is attractive for small separation, originating from the color charge of hyper colorterm. However the potential can easily be generalized in order to allow a systematic analysis. Wecalculate the relativistic wave function for quarks in a scalarvector hyper central potential, analytically.Finally, vanishing the normal component of vector current at the surface of the baryon bag as a boundarycondition equivalent to confinement, results in the static properties and the strength of hyper Coulomblike potential parameter. This depends on the mass parameters contrary to almost all previous versions.The calculated static properties for baryon are better than in the uncorrected versions of the model.PACS index 12.39 .Ba, 12.39. Ki, 12.39. Pn
1

257
266


A. A.
RAJABI
Department of physics, Shahrood University of Technology, P. O. Box 36155316 Shahrood, I. R of Iran,
Department of physics, Shahrood University
Iran
Hyper central interaction
hadron
static properties
dirac equation
charge radius
magnetic moment
DIRECT SYSTEM AND DIRECT LIMIT OF v H MODULES
2
2
The largest class of algebraic hyper structures satisfying the module like axioms is the v H module. In this paper, we consider the category of v H modules and prove that the direct limit alwaysexists in this category. Direct limits are defined by a universal property, and so are unique. The mostpowerful tool in order to obtain a module from a given v H  module is the quotient out procedure. To usethis method we consider the fundamental equivalence relationε * , and then prove some of the resultsabout the connection between the fundamental modules, direct systems and direct limits.
1

267
275


M.
GHADIRI
Department of Mathematics, Yazd University, Yazd, I. R. of Iran
Department of Mathematics, Yazd University,
Iran
mghadiri@yazduni.ac.ir


B.
DAVVAZ
Department of Mathematics, Yazd University, Yazd, I. R. of Iran
Department of Mathematics, Yazd University,
Iran
H ring
v H module
direct system
direct limit
fundamental relation
fundamental module
ANALYSIS OF SPATIAL POINT PATTERNS BY KERNEL IDENTIFICATION
2
2
In the analysis of spatial point patterns, complete spatial randomness (CSR) hypothesis,which is a restriction of a homogenous Poisson process to study region A, operates as a dividinghypothesis between “regular” and “aggregated” patterns. Meanwhile, many alternatives to CSR inaggregated patterns are extensions of homogenous Poisson processes themselves. Therefore, when theCSR hypothesis is rejected, results related to Poisson processes may be used to formulate plausiblealternatives to CSR. In this paper, we propose a new statistic for testing CSR and then by applying it inconjunction with a notion of kernels of a point pattern, we determine the “parents” of a Poisson clusterprocess when the CSR hypothesis is rejected and a NeymanScott process is assumed for the pointpattern under alternative hypothesis. We have made power studies for our test statistic by simulation, andhave also surveyed the performance of our method on a certain point pattern. Finally, the whole methodis carried on certain real life data.
1

277
288


M. Q.
VAHIDIASL
Department of Statistics, Shahid Beheshti University, Evin, Tehran, I. R. of Iran 19839
Department of Statistics, Shahid Beheshti
Iran


M. R.
FAGHIHI
Department of Statistics, Shahid Beheshti University, Evin, Tehran, I. R. of Iran 19839
Department of Statistics, Shahid Beheshti
Iran
Spatial point patterns
complete spatial randomness
poisson processes
NeymanScott processes
cluster analysis
REAL GROUP ALGEBRAS
2
2
In this paper we initiate the study of real group algebras and investigate some of its aspects.Let L1 (G) be a group algebra of a locally compact group G,τ :G →G be a group homeomorphismsuch that τ 2 =τοτ = 1, the identity map, and Lp (G,τ ) = { f ∈ Lp (G) : fοτ = f } ( p ≥ 1) . In thispaper, among other results, we clarify the structure of Lp (G,τ ) and characterize amenability ofL1 (G,τ ) and identify its multipliers.
1

289
298


A.
EBADIAN
Current address: Department of Mathematics, Urmia University, I. R. of Iran
Current address: Department of Mathematics,
Iran
a.ebadian@urmia.ac.ir


A. R.
MEDGHALCHI
Faculty of Mathematics, Teacher Training University, Tehran, I. R. of Iran, 15614
Faculty of Mathematics, Teacher Training
Iran
Real Banach algebra
amenability
multiplier
derivation
group involution
THE INVERSE OF COVARIANCE MATRICES FOR THE ARMA (p, q) CLASS OF PROCESSES
2
2
Analysis of time series data can involve the inversion of large covariance matrices. For theclass of ARMA (p, q) processes there are no exact explicit expressions for these inverses, except for theMA (1) process. In practice, the sample covariance matrix can be very large and inversion can becomputationally time consuming and so approximate explicit expressions for the inverse are desirable.This paper offers some of these approximations.
1

299
305


R.
CHINIPARDAZ
Department of Statistics, University of Shahid Chamran, Ahvaz, I. R. of Iran
Department of Statistics, University of Shahid
Iran
chinipardaz_r@scu.ac.ir,


T. F.
COX
Unilever Research Port Sunlight, Quarry Road East, Bebington, Wirral, CH633JW, UK
Unilever Research Port Sunlight, Quarry Road
United Kingdom
ARMA processes
band matrix
covariance matrix