University of TehranJournal of Sciences, Islamic Republic of Iran1016-110418420071201Synthesis of Binary Ti-Si Mixed Oxides Nanoparticles with Rutile Structure as Selective Catalyst for Epoxidation of Alkenes30339535065ENF.FarzanehDepartment of Chemistry, Alzahra University, Vanak, Tehran, Islamic Republic of IranJournal Article20070827The nanoparticles of Ti-Si mixed oxides (NTSO) with Rutile structure were prepared by sol-gel method in a mixture of alcohol and water as solvent. The solid product was characterized by XRD, FTIR, SEM, TEM, UV, TGA and laser Raman spectroscopy. The catalytic activity of NTSO (5-10 nm) was investigated in the epoxidation of cis stilbene, trans stilbene, and norbornene by using oxidants such as tert-butylhydroperoxide (TBHP), molecular oxygen (O<sub>2</sub>)/isobutyraldehyde (IBA) and hydrogen peroxide (H<sub>2</sub>O<sub>2</sub>). It was found that epoxides of trans-stilbene andnorbornenewereformedquantitativelywiththegreenH<sub>2</sub>O<sub>2</sub>oxidantduring12h.https://jsciences.ut.ac.ir/article_35065_7dd368e2a660d1b78517bb5587f186ec.pdfUniversity of TehranJournal of Sciences, Islamic Republic of Iran1016-110418420071201Complete Convergence and Some Maximal Inequalities for Weighted Sums of Random Variables31131635073ENM.AminiDepartment of Statistics, Faculty of Mathematical Sciences, Ferdowsi University
of Mashhad, Mashhad, Islamic Republic of IranJournal Article20070827Let be a sequence of arbitrary random variables with and , for every and be an array of real numbers. We will obtain two maximal inequalities for partial sums and weighted sums of random variables and also, we will prove complete convergence for weighted sums , under some conditions on and sequence .https://jsciences.ut.ac.ir/article_35073_d621f17bd3310b1e9969d451974cb757.pdfUniversity of TehranJournal of Sciences, Islamic Republic of Iran1016-110418420071201A Computational Meshless Method for Solving Multivariable Integral Equations31732135075ENE.BabolianDepartment of Mathematics, Teacher Training University, Tehran, Islamic Republic of IranJournal Article20060827In this paper we use radial basis functions to solve multivariable integral equations. We use collocation method for implementation. Numerical experiments show the accuracy of the method.https://jsciences.ut.ac.ir/article_35075_efa1cb388921b5a382f132d3c315a55d.pdfUniversity of TehranJournal of Sciences, Islamic Republic of Iran1016-110418420071201On the U-WPF Acts over Monoids32332835076ENA.GolchinDepartment of Mathematics, University of Sistan and Baluchestan, Zahedan, Islamic Republic of IranJournal Article20070827Valdis Laan in [5] introduced an extension of strong flatness which is called weak pullback flatness. In this paper we introduce a new property of acts over monoids, called<em> U-WPF</em> which is an extension of weak pullback flatness and give a classification of monoids by this property of their acts and also a classification of monoids when this property of acts implies others. We also show that regularity and strong faithfulness of acts both imply <em>U-WPF</em>. An equivalent of that over monoids for which torsion freeness implies <em>U-WPF</em> is given too.https://jsciences.ut.ac.ir/article_35076_7179cbf62319b0387870e23cc9c2338f.pdfUniversity of TehranJournal of Sciences, Islamic Republic of Iran1016-110418420071201Nonlinear Two-Phase Stefan Problem32933735077ENK.IvazDepartment of Mathematics, University of Tabriz, Tabriz, Islamic Republic of IranJournal Article20070827In this paper we consider a nonlinear two-phase Stefan problem in one-dimensional space. The problem is mapped into a nonlinear Volterra integral equation for the free boundary.https://jsciences.ut.ac.ir/article_35077_32721d24440447cca51b48fcd81190bb.pdfUniversity of TehranJournal of Sciences, Islamic Republic of Iran1016-110418420071201Derivations on Certain Semigroup Algebras33934535078ENM.Lashkarizadeh BamiDepartment of Mathematics, University of Isfahan, Isfahan, Islamic Republic of IranJournal Article20070827In the present paper we give a partially negative answer to a conjecture of Ghahramani, Runde and Willis. We also discuss the derivation problem for both foundation semigroup algebras and Clifford semigroup algebras. In particular, we prove that if <em>S</em> is a topological Clifford semigroup for which <em>E<sub>s</sub></em> is finite, then <em>H</em><sup>1</sup>(<em>M</em>(<em>S</em>),<em>M</em>(<em>S</em>))={0}.https://jsciences.ut.ac.ir/article_35078_5dc248c0cdd852f58b420f59cb5d150c.pdfUniversity of TehranJournal of Sciences, Islamic Republic of Iran1016-110418420071201Modified Progressive Type-II Censoring Procedure in Life-Testing under the Weibull Model34735435079ENM.KhodadadiDepartment of Statistics, Faculty of Mathematical Sciences, Shahid Beheshti
University, Tehran, Islamic Republic of IranJournal Article20070827In this paper we introduce a new scheme of censoring and study it under the Weibull distribution. This scheme is a mixture of progressive Type II censoring and self relocating design which was first introduced by Srivastava [8]. We show the superiority of this censoring scheme (PSRD) relative to the classical schemes with respect to “asymptotic variance”. Comparisons are also made with respect to the total expected time under experiment (TETUE) as an important feature of time and cost saving. These comparisons show that TETUE<sub>(<em>SRD</em>)</sub> < TETUE<sub>(<em>PSRD</em>)</sub> < TETUE<sub>(<em>PC</em>2)</sub> if 0 < <em>β</em> < 1, TETUE<sub>(<em>PSRD</em>)</sub> = TETUE<sub>(<em>SRD</em>)</sub> < TETUE<sub>(<em>PC</em>2)</sub> if <em>β</em> = 1 and TETUE<sub>(<em>PSRD</em>)</sub> is the best among all the designs if <em>β</em> = 2 (Rayleigh distribution case).https://jsciences.ut.ac.ir/article_35079_97b138e63d61d51fa7c1effe3f11847d.pdfUniversity of TehranJournal of Sciences, Islamic Republic of Iran1016-110418420071201Essentially Retractable Modules35536035080ENM.R.VedadiDepartment of Mathematical Sciences, Isfahan University of Technology,
Isfahan 84156-83111, Islamic Republic of IranJournal Article20070827We call a module <em>essentially retractable </em>if Hom<sub>R</sub> for all essential submodules <em>N</em> of <em>M</em>. For a right FBN ring <em>R</em>, it is shown that: (i) A non-zero module is <em>retractable</em> (in the sense that Hom<sub>R</sub> for all non-zero ) if and only if certain factor modules of <em>M</em> are essentially retractable nonsingular modules over <em>R</em> modulo their annihilators. (ii) A non-zero module is essentially retractable if and only if there exists a prime ideal such that Hom<sub>R</sub>. Over semiprime right nonsingular rings, a nonsingular essentially retractable module is precisely a module with non-zero dual. Moreover, over certain rings <em>R</em>, including right FBN rings, it is shown that a nonsingular module <em>M</em> with enough uniforms is essentially retractable if and only if there exist uniform retractable <em>R</em>-modules and <em>R</em>-homomorphisms with .https://jsciences.ut.ac.ir/article_35080_daa38f2a160fc3e3a8b0aafa70c41eff.pdf