SpringerIranian Journal of Science2731-809528220041226GREEN FUNCTION OF AXISYMMETRIC MAGNETOSTATICS197204285010.22099/ijsts.2004.2850ENF. DINIDepartment of Plasma Physics, Nuclear Fusion Research Center, P. O. Box 14155-1339,
Amirabad, Tehran, I. R. of IranS. KHORASANIDepartment of Plasma Physics, Nuclear Fusion Research Center, P. O. Box 14155-1339,
Amirabad, Tehran, I. R. of IranR. AMROLLAHIFaculty of Physics, Amir Kabir University of Technology, Hafez Ave.,
Tehran, I. R. of IranJournal Article20020413A simple new closed form of the Green function for axisymmetric magnetostatic problems<br />is found analytically in cylindrical coordinates. The result is verified by applying several examples.https://ijsts.shirazu.ac.ir/article_2850_78f46ca37722cee176b3d5c36468644a.pdfSpringerIranian Journal of Science2731-809528220041226RING RESONATOR COUPLED M-Z ALL-OPTICAL SWITCH BY USING A PUMPED NONLINEAR DIRECTIONAL COUPLER205210285110.22099/ijsts.2004.2851ENA. BANANEJInstitute of Modern Optics, Department of Physics, Harbin Institute of Technology
Harbin 150001, ChinaC. F. LiInstitute of Modern Optics, Department of Physics, Harbin Institute of TechnologyG. M. XUInstitute of Modern Optics, Department of Physics, Harbin Institute of TechnologyJournal Article20031111We propose a new ring resonator side-coupled M-Z interferometer all-optical switch through<br />the pumped nonlinear directional coupler. By controlling pump power P to lead the coupler reflectivity<br />r approaching to 1, the resonator finesse will be enhanced dramatically, and then the minimum<br />switching power in silica-based practice devices can be obtained. As a sample, we use a nonlinear<br />coupler made by two erbium-doped fibers, and launch a 514.5nm-pump light into one of the cores to<br />make the reflective- index difference between two cores. Based on the asymmetric-coupler theory, we<br />simulate the relationship between r and P , and show that the required pump power is only 0.8mW<br />for r →1 .https://ijsts.shirazu.ac.ir/article_2851_e5f5dfd855e274020bf319426b241bba.pdfSpringerIranian Journal of Science2731-809528220041226THE STRONG LAW OF LARGE NUMBERS FOR PAIRWISE NEGATIVELY DEPENDENT RANDOM VARIABLES211217285210.22099/ijsts.2004.2852ENH. R. NILI SANIDepartment of Statistics, School of Mathematical Sciences, Ferdowsi University, Mashhad, I. R. of IranH. A. AZARNOOSHDepartment of Statistics, School of Mathematical Sciences, Ferdowsi University, Mashhad, I. R. of IranA. BOZORGNIADepartment of Statistics, School of Mathematical Sciences, Ferdowsi University, Mashhad, I. R. of IranJournal Article20020216In this paper, strong laws of large numbers (SLLN) are obtained for the sums ƒ°=<br />n<br />i<br />i X<br />1<br />, under<br />certain conditions, where {X ,n . 1} n is a sequence of pairwise negatively dependent random variables.https://ijsts.shirazu.ac.ir/article_2852_6771ec51729c273c4892533588694959.pdfSpringerIranian Journal of Science2731-809528220041226CONTROLLING CHAOS IN 2-DIMENSIONAL SYSTEMS219226287210.22099/ijsts.2004.2872ENL. M. SAHADepartment of Mathematics, Zakir Husain College, University of Delhi, New Delhi – 110002, IndiaG. H. ERJAEEMathematics Department, College of Science, Shiraz University, Shiraz, I. R. of IranM. BUDHRAJADepartment of Mathematics, Shivaji College, University of Delhi,
New Delhi, 110027, IndiaJournal Article20030905A chaos control method suggested by Erjaee has been reviewed. It has been shown that this<br />technique can be applied in various evolutionary systems of 2-dimensional types. The method has been<br />applied for cases of the Henon map, as well as Burger’s map. The limitations of the control technique<br />have also been discussed by considering the Standard Map and the Gumowski-Mira map. The results<br />obtained through numerical calculations are very interesting and significant. This technique has some<br />advantages over many other techniques of chaos control in discrete systems.https://ijsts.shirazu.ac.ir/article_2872_3e4c93e9d7f22c0baf6faf6a1cb17373.pdfSpringerIranian Journal of Science2731-809528220041226STUDY OF THE DISTORTED LAYER STRUCTURE OF SILICON WAFERS BY THE METHOD OF PLASMA-CHEMICAL ETCHING AFTER MECHANICAL MACHINING PROCESSES227234287310.22099/ijsts.2004.2873ENH. BIDADIFaculty of physics, Tabriz University, Tabriz, I. R. of Iran, 51664S. SOBHANIANFaculty of physics, Tabriz University, Tabriz, I. R. of Iran, 51664SH. HASANLINational Academy of Sciences, Azerbaijan RepublicM. MAZIDIFaculty of physics, Tabriz University, Tabriz, I. R. of Iran, 51664M. KARIMIFaculty of physics, Tabriz University, Tabriz, I. R. of Iran, 51664Journal Article20020901In this experimental work, by using the method of plasma-chemical etching, we have dealt<br />with the causes of the creation of a distorted layer on the surface of silicon wafers during mechanical<br />machining processes, in addition, the elucidation of connections between the structure of this layer and<br />characteristic parameters of the mechanical strength of these wafers have been studied. Experimental<br />results obtained at room temperature show that after cutting and grinding processes, the mean value of<br />mechanical strength σ, which is apparently independent of the types of conductivity, is significantly<br />lower than its theoretical value. Analysis of the dependence of mechanical parameters on the time of<br />plasma-chemical etching indicates that the lower values obtained for the mechanical strength of silicon<br />wafers is basically due to the existence of a distorted layer and corresponding internal stresses created on<br />the surface of these wafers after mechanical machining. Plasma-chemical etching leads to an increase in<br />σ value. Dependency of σ on the etching time is qualitatively described by the microstructure of the<br />distorted layer and parameters of the micro relief surface of the wafers. Correlation between parameters<br />σ, H, K and the microstructure of the distorted layer allows us to suggest the method of plasma chemical<br />etching as a method of investigating the microstructure of the distorted layer after the mechanical<br />machining processes.https://ijsts.shirazu.ac.ir/article_2873_cb44f197ef0ec90cfe9655a260ba8284.pdfSpringerIranian Journal of Science2731-809528220041226COUNTEREXAMPLES IN a−MINIMAL SETS235256287410.22099/ijsts.2004.2874ENF. AYATOLLAH ZADEH SHIRAZIDepartment of Mathematics, Faculty of Science, Tehran University, Enghelab Ave., Tehran, I. R. of IranM. SABBAGHANDepartment of Mathematics, Faculty of Science, Tehran University, Enghelab Ave., Tehran, I. R. of IranJournal Article20010912Several tables have been given due to a − minimal sets. Our main aim in this paper is to<br />complete these tables by employing several examples.https://ijsts.shirazu.ac.ir/article_2874_13052c36b479587657673f3fd3003a4f.pdfSpringerIranian Journal of Science2731-809528220041226IMPROVED MIT BAG MODEL WITH HYPER CENTRAL INTERACTING POTENTIAL257266287510.22099/ijsts.2004.2875ENA. A. RAJABIDepartment of physics, Shahrood University of Technology, P. O. Box 36155-316 Shahrood, I. R of Iran,Journal Article20020611An improved MIT bag model with hyper central interactions is used to calculate the static<br />properties of hadrons containing u, d, s and c quarks. We present a theoretical approach to the internal<br />structure of three-body hyper central interacting quarks in a hadron, in which we take hadron as a bag.<br />We discuss a few of the results obtained using a six-dimension harmonic oscilator (h.o) potential, having<br />a two-body character, which turns out to be a hyper central confinement part. The other potential is sixdimensional,<br />which is attractive for small separation, originating from the color charge of hyper color<br />term. However the potential can easily be generalized in order to allow a systematic analysis. We<br />calculate the relativistic wave function for quarks in a scalar-vector hyper central potential, analytically.<br />Finally, vanishing the normal component of vector current at the surface of the baryon bag as a boundary<br />condition equivalent to confinement, results in the static properties and the strength of hyper Coulomb<br />like potential parameter. This depends on the mass parameters contrary to almost all previous versions.<br />The calculated static properties for baryon are better than in the uncorrected versions of the model.<br />PACS index 12.39 .Ba, 12.39. Ki, 12.39. Pnhttps://ijsts.shirazu.ac.ir/article_2875_9facb82266e750ab197e43b975176778.pdfSpringerIranian Journal of Science2731-809528220041226DIRECT SYSTEM AND DIRECT LIMIT OF v H -MODULES267275287610.22099/ijsts.2004.2876ENM. GHADIRIDepartment of Mathematics, Yazd University, Yazd, I. R. of IranB. DAVVAZDepartment of Mathematics, Yazd University, Yazd, I. R. of IranJournal Article20030216The largest class of algebraic hyper structures satisfying the module like axioms is the v H -<br />module. In this paper, we consider the category of v H -modules and prove that the direct limit always<br />exists in this category. Direct limits are defined by a universal property, and so are unique. The most<br />powerful tool in order to obtain a module from a given v H - module is the quotient out procedure. To use<br />this method we consider the fundamental equivalence relationε * , and then prove some of the results<br />about the connection between the fundamental modules, direct systems and direct limits.https://ijsts.shirazu.ac.ir/article_2876_94edaedce6187b8b1a0698546845c448.pdfSpringerIranian Journal of Science2731-809528220041226ANALYSIS OF SPATIAL POINT PATTERNS BY KERNEL IDENTIFICATION277288287710.22099/ijsts.2004.2877ENM. Q. VAHIDI-ASLDepartment of Statistics, Shahid Beheshti University, Evin, Tehran, I. R. of Iran 19839M. R. FAGHIHIDepartment of Statistics, Shahid Beheshti University, Evin, Tehran, I. R. of Iran 19839Journal Article20020914In the analysis of spatial point patterns, complete spatial randomness (CSR) hypothesis,<br />which is a restriction of a homogenous Poisson process to study region A, operates as a dividing<br />hypothesis between “regular” and “aggregated” patterns. Meanwhile, many alternatives to CSR in<br />aggregated patterns are extensions of homogenous Poisson processes themselves. Therefore, when the<br />CSR hypothesis is rejected, results related to Poisson processes may be used to formulate plausible<br />alternatives to CSR. In this paper, we propose a new statistic for testing CSR and then by applying it in<br />conjunction with a notion of kernels of a point pattern, we determine the “parents” of a Poisson cluster<br />process when the CSR hypothesis is rejected and a Neyman-Scott process is assumed for the point<br />pattern under alternative hypothesis. We have made power studies for our test statistic by simulation, and<br />have also surveyed the performance of our method on a certain point pattern. Finally, the whole method<br />is carried on certain real life data.https://ijsts.shirazu.ac.ir/article_2877_5bd76b51ec7c1bd86de9a2a44109d41e.pdfSpringerIranian Journal of Science2731-809528220041226REAL GROUP ALGEBRAS289298287810.22099/ijsts.2004.2878ENA. EBADIANCurrent address: Department of Mathematics, Urmia University, I. R. of IranA. R. MEDGHALCHIFaculty of Mathematics, Teacher Training University, Tehran, I. R. of Iran, 15614Journal Article20020514In this paper we initiate the study of real group algebras and investigate some of its aspects.<br />Let L1 (G) be a group algebra of a locally compact group G,τ :G →G be a group homeomorphism<br />such that τ 2 =τοτ = 1, the identity map, and Lp (G,τ ) = { f ∈ Lp (G) : fοτ = f } ( p ≥ 1) . In this<br />paper, among other results, we clarify the structure of Lp (G,τ ) and characterize amenability of<br />L1 (G,τ ) and identify its multipliers.https://ijsts.shirazu.ac.ir/article_2878_fd81bbe40553022c0d8890f0037844bb.pdfSpringerIranian Journal of Science2731-809528220041226THE INVERSE OF COVARIANCE MATRICES FOR THE ARMA (p, q) CLASS OF PROCESSES299305287910.22099/ijsts.2004.2879ENR. CHINIPARDAZDepartment of Statistics, University of Shahid Chamran, Ahvaz, I. R. of IranT. F. COXUnilever Research Port Sunlight, Quarry Road East, Bebington, Wirral, CH633JW, UKJournal Article20020114Analysis of time series data can involve the inversion of large covariance matrices. For the<br />class of ARMA (p, q) processes there are no exact explicit expressions for these inverses, except for the<br />MA (1) process. In practice, the sample covariance matrix can be very large and inversion can be<br />computationally time consuming and so approximate explicit expressions for the inverse are desirable.<br />This paper offers some of these approximations.https://ijsts.shirazu.ac.ir/article_2879_e6dd3db8174e2c4874cb614f1a0869d6.pdf