2012
36
4
4
0
On generalized statistical convergence in random 2normed space
2
2
In this paper, we shall define and study the concept of statistical convergence and statistical Cauchy inrandom 2normed space. We also introduce the concept of statistical completeness which would provide amore general frame work to study the completeness in random 2normed space. Furthermore, we also prove some new results.
1

417
423


E.
Savas
Department of Mathematics, Istanbul Commerce University, Üsküdar, Istanbul, Turkey
Department of Mathematics, Istanbul Commerce
Turkey
esavas@iticu.edu.tr
Statistical convergence
statistical convergence
tnorm
2norm
random 2normed space
PhragménLindelöf type results for a class of nonlinear damped wave equations
2
2
This paper deals with the behavior at infinity of solutions to a class of wave equations with nonlinear dampingterms defined in a semiinfinite cylinder. The spatial behavior of solutions is studied and an alternative ofPhragménLindelöf type theorems is obtained in the results. The main point in the contribution is the use of energy method.
1

425
429


F.
Tahamtani
Department of Mathematics, College of Sciences, Shiraz University, P.O.Box 71454, Shiraz, Iran
Department of Mathematics, College of Sciences,
Iran
tahamtani@shirazu.ac.ir


A.
Peyravi
Department of Mathematics, College of Sciences, Shiraz University, P.O.Box 71454, Shiraz, Iran
Department of Mathematics, College of Sciences,
Iran
Spatial estimates
viscoelasticity
SaintVenant principle PhragménLindelöf principle
Solutions of the perturbed KleinGordon equations
2
2
This paper studies the perturbed KleinGordon equation by the aid of several methods of integrability. There are six forms of nonlinearity that are considered in this paper. The parameter domains are thus identified.
1

431
452


A.
Biswas
Department of Mathematical Sciences, Delaware State University, Dover, DE 199012277, USA
Department of Mathematical Sciences, Delaware
United States
biswas.anjan@gmail.com


G.
Ebadi
Department of Mathematical Sciences, University of Tabriz Tabriz, 5166614766, Iran
Department of Mathematical Sciences, University
Iran


M.
Fessak
Department of Mathematical Sciences, Delaware State University, Dover, DE 199012277, USA
Department of Mathematical Sciences, Delaware
United States


A. G.
Johnpillai
Department of Mathematics, Eastern University, Sri lanka
Department of Mathematics, Eastern University,
Sri Lanka


S.
Johnson
Lake Forest High School, 5407 Killens Pond Road, Felton, DE19943, USA
Lake Forest High School, 5407 Killens Pond
United States


Krishnan
E. V.
Department of Mathematics and Statistics, Sultan Qaboos University, P.O. Box 36, Al Khod 123, Muscat, Oman
Department of Mathematics and Statistics,
Oman


A.
Yildirim
Department of Mathematics and Statistics, Sultan Qaboos University, P.O. Box 36, Al Khod 123, Muscat, Oman
64146 Sk. No: 16 Zeytinalani Mah. Urla, Izmir, Turkey
Department of Mathematics and Statistics,
Turkey
ahmet.yildirim@ege.edu.tr
The perturbed KleinGordon equation
integrability
nonlinearity
Existence and local attractivity of solutions of a nonlinear quadratic functional integral equation
2
2
In this paper, using the tools involving measures of noncompactness and Darbo fixed point theorem forcondensing operator, we study the existence of solutions for a large class of generalized nonlinear quadraticfunctional integral equations. Also, we show that solutions of these integral equations are locally attractive.Furthermore, we present an example to show the efficiency and usefulness of our results.
1

453
460


A.
Aghajani
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
Department of Mathematics, Karaj Branch,
Iran
aghajani@iust.ac.ir


N.
Sabzali
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
Department of Mathematics, Karaj Branch,
Iran
Quadratic integral equations
Measure of noncompactness
modulus of continuity
uniformly locally attractive
Conditional expectation of weak random elements
2
2
We prove that the limit of a sequence of Pettis integrable bounded scalarly measurable weak random elements, of finite weak norm, with values in the dual of a nonseparable Banach space is Pettis integrable. Then we provide basic properties for the Pettis conditional expectation, and prove that it is continuous. Calculus of Pettis conditional expectations in general is very different from the calculus of Bochner conditional expectations due to the lack of strong measurability and separability. In two examples, we derive the Pettis conditional expectations.
1

461
467


S.
Shishebor
Department of Statistics, Shiraz University, Shiraz, Iran
Department of Statistics, Shiraz University,
Iran
sheshebor@susc.ac.ir,


A. R.
Soltani
Department of Statistics, Shiraz University (and Kuwait University) Shiraz, P.O. Box 5969 Safat 13060, Iran
Department of Statistics, Shiraz University
Iran


M.
Sharifitabar
School of Mathematics, Institute for Research in Fundamental Sciences (IPM),
P.O. Box: 193955746, Tehran, Iran
School of Mathematics, Institute for Research
Iran


Z.
Sajjadnia
Department of Statistics, Shiraz University, Shiraz, Iran
Department of Statistics, Shiraz University,
Iran
Pettis integral
Pettis conditional expectation
nonseparable Banach spaces
weak pth order random elements
Fuzzy soft ring
2
2
The concept of fuzzy soft Γring is introduced; and some properties of fuzzy soft Γrings are given. Then the definitions of fuzzy soft Γideals are proposed and some of their theories are considered.
1

469
476


S.
Onar
Department of Mathematics, Yıldız Technical University Davutpaşa Kampüsü
E Blok 2021 34220 Esenler, Istanbul, Turkey
Department of Mathematics, Yıldız Technical
Turkey


A.
Ersoy
Department of Mathematics, Yıldız Technical University Davutpaşa Kampüsü, E Blok 2021 34220 Esenler, Istanbul, Turkey
Department of Mathematics, Yıldız Technical
Turkey
ersoya@yildiz.edu.tr


U.
Tekir
Department of Mathematics, Marmara University, 34722 Istanbul, Turkey
Department of Mathematics, Marmara University,
Turkey
ring
fuzzy soft ring
soft ring
Bioethanol production from white onion by yeast in repeated batch
2
2
Considered to be the cleanest liquid fuel, bioethanol can be a reliable alternative to fossil fuels. It is produced by fermentation of sugar components of plant materials. The common onions are considered to be a favorable source of fermentation products as they have high sugar contents as well as contain various nutrients. This study focused on the effective production of ethanol from an endemic Iranian white onion (Allium cepa L., Dorche cultivar) by the yeast “Saccharomyces cerevisiae” in repeated batch. The results showed that the total sugar concentration of onion juice was77.3 g/l. The maximum rate of productivity, ethanol yield and final bioethanol percentage was 8 g/l/h (g ethanol per liter of onion juice per hour), 40 g/l (g ethanol per liter of onion juice and 93 %, respectively.
1

477
480


M.
Vazirzadeh
Department of Biology, Shiraz University, Shiraz 71454, Iran
Department of Biology, Shiraz University,
Iran
masood_v2006@yahoo.com


H. R.
KarbalaeiHeidari
Department of Biology, Shiraz University, Shiraz 71454, Iran
Department of Biology, Shiraz University,
Iran


M.
Mohsenzadeh
Department of Civil and Environmental Engineering, Shiraz University, Shiraz, Iran
Department of Civil and Environmental Engineering,
Iran
Allium cepa
biofuels
crop waste
Ethanol
Saccharomyces cerevisiae
Surface charge properties of zirconium dioxide
2
2
Zirconium dioxide, commonly known as zirconia, is an interesting material and is receiving growing attention due to its excellent mechanical properties. The solid was characterized for surface area measurements, scanningelectron microscopy (SEM), Energy dispersive Xray diffractometry (EDX) and potentiometric titrations. Surface titrations were carried out at the temperature range 303 to 323K in the presence of different concentrations (0.1, 0.01 and 0.001mol/dm3) of NaNO3 as a background electrolyte. Surface charge density and point of zero charge (PZC) of ZrO2 were determined from the titration data. Salt addition method was also applied to measure the PZC of the solid. The surface charge densities of ZrO2 were observed to increase with increase in temperature but decrease while increasing the concentration of electrolyte. Further, the PZC was found to decrease with the rise in temperature. However, it was found to increase with increase in concentration of the background electrolyte. The thermodynamic parameters such as ΔH and ΔS were also determined from the slope and intercept of the linear plot of (pHpzc  ½ pKw) versus reciprocal temperature (1/T). The values of both the ΔH and ΔS were found to be negative, while that of ΔG were positive. From these thermodynamic parameters, it was suggested that the protonation / deprotonation process of ZrO2 is nonspontaneous.
1

481
486


S.
Muhammad
Department of Chemistry Islamia College Peshawar (Chartered University) 25120, Pakistan
Department of Chemistry Islamia College Peshawar
Pakistan


S. T.
Hussain
Department of Chemistry Kohat University of Science & Technology Kohat, 2600, Pakistan
Department of Chemistry Kohat University
Pakistan


M.
Waseem
Department of Chemistry, Hazara University, Mansehra, 21300, Pakistan
Department of Chemistry, Hazara University,
Pakistan
waseem_atd@yahoo.com


A.
Naeem
National Centre of Excellence in Physical Chemistry, University of Peshawar, 25120, Pakistan
National Centre of Excellence in Physical
Pakistan


J.
Hussain
Department of Chemistry Kohat University of Science & Technology Kohat, 2600, Pakistan
Department of Chemistry Kohat University
Pakistan


M.
Tariq Jan
Department of Chemistry Islamia College Peshawar (Chartered University) 25120, Pakistan
Department of Chemistry Islamia College Peshawar
Pakistan
Pointentiometric titration
point of zero charge
protonation
deprotonation
surface charge density
Scale structure of a cyprinid fish, Garra Rossica (Nikol’skii, 1900) using scanning electron microscope (SEM)
2
2
The normal and lateral line cycloid scales of the native species Garra rossica (Nikol’skii, 1900), one of the most common and poorly known cyprinid fish in southeastern Iran have been subjected to the scanning electron microscopy technique in order to study their detailed structure. Normal scale below the dorsal fin showed a clearcut demonstration between the anterior and posterior region with the focus lying towards the anterior region that is covered by reticulate or honeycomb form structures with few mucous pores. There is a wedge shaped circuli only in the anterior and lateral fields which are partitioned by deep and narrow grooves called radii and run radially towards the focus. On the dorsal side, the anterior circuli bear numerous pointed lepidonts. In the posterior section, the scale has several rows of pigmented granules (tubercles) with different shapes from round to oval, semi oval and even oblong structure. The lateral line scale has a canal which characteristically lies along the anteriorposterior axis, with a wider anterior opening than the posterior opening which is hidden by an eyelike extension cantilevered over it. Although the scale of G. rossica shows the general structure of a cycloid cyprinid scale, the shape and size of lepidonts on the circuli crest, shape and size of tubercles on the posterior region and the pattern of reticulate or honeycomb that form structures in the focus region may provide more reliable taxonomic tools. The present analysis of scale morphology in G. rossica may be used in combination with other morphological and molecular data in a synergic approach to the phylogenetic and systematic study of the genus.
1

487
492


H.R.
Esmaeili
Department of Biology, College of Sciences, Shiraz University, Shiraz, 71454, I. R. of Iran
Department of Biology, College of Sciences,
Iran
esmaeili@susc.ac.ir


A.
Gholamifard
Department of Biology, College of Sciences, Shiraz University, Shiraz, 71454, I. R. of Iran
Department of Biology, College of Sciences,
Iran


N.
Zarei
Department of Biology, College of Sciences, Shiraz University, Shiraz, 71454, I. R. of Iran
Department of Biology, College of Sciences,
Iran


A.
Arshadi
Fisheries Department, Faculty of Natural Sciences, University of Zabol, Zabol, I. R. of Iran
Fisheries Department, Faculty of Natural
Iran
Garra rossica
scanning electron microscopy
Scale
lepidont
radii
circuli
The importance of cerebrospinal fluid in cerebral cortical development
2
2
In this review the role of cerebrospinal fluid (CSF) in mammalian cerebral cortex development has been highlighted. Many studies have focused on the potential role of the CSF in the developmental process. In particular, the cerebral cortex develops from the germinal epithelium adjacent to the CSF. CSF contains proteins, growth factors and other neurotrophic factors which are important for neural cell survival and proliferation. The concentration of protein present in CSF during development is much higher than in adult. Draining CSF from the ventricles of the brain during development increases the number of neural cell deaths and decreases neural cell proliferation and thus thinning of the cerebral cortex. It has been shown that infusion of antinerve growth factor antibody into the CSF leads to decreased cell production in the cerebral cortical germinal epithelium. It has also been shown that CSF nerve growth factor (NGF) and vascular endothelial growth factor (VEGF) concentration change during chick embryonic development. Recent evidence shows that CSF regulates relevant aspects of neuroepithelial behavior such as proliferation, survival and migration by means of growth factors, cytokines and morphogenes. According to the data presented here, it is concluded that CSF may be regarded as an important environmental influence in cerebral cortical development.
1

493
499


F.
Mashayekhi
Department of Biology, Faculty of Sciences, University of Guilan, Rasht, Iran
Department of Biology, Faculty of Sciences,
Iran
umistbiology@yahoo.co.uk
Cerebrospinal fluid
development
cerebral cortex
Controls on air pollution over a semienclosed basin, Tehran: A synoptic climatological approach
2
2
In this study, a new array of meteorological elements and a synoptic climatologic classification to produce abaseline climate and to derive meteorological factors that are effective on air pollution in Tehran, which is located in a semienclosed basin was developed. The data set includes daily sealevel pressure and 500mb geopotential height fields from NCEPNCAR and Tehran upper air sounding data at 00:00UTC for six months (JulyDecember) of every year in the period 20012006. The classification is done through the principal component analysis (PCA) of data from the upperair station. The results show that three meteorological factors are effective on variations of the Carbon Monoxide (CO) concentrations in the complicated terrain of Tehran basin. Thickness variations of different pressure layers (especially 850mb700mb), Total totals index (TT) and surface wind speed are the most important dependent variables of these factors. Examination of the Carbon Monoxide (CO) pollution levels in Tehran, where emission sources are high shows that the synoptic classification identifies the patterns that are conducive to high pollution and those that are conducive to low pollutants build up in the basin. The synoptic climatology of events associated with five categories of CO concentrations show the role of synoptic forcings on decreasing CO concentrations. On the other hand, the role of high and thermal low pressure patterns in producing sever polluted episodes in the basin is also shown. These events occurred exclusively under special synoptic situations with high pressure developing on the airflow entrance of the basin and a thermal low pressure on the leeward side of the mountainous region. The coupled pressure system inducing horizontal pressure gradient produces a low level southerly cross wind toward the mountain barrier
1

501
510


A. R.
Saadatabadi
Atmospheric Science & Meteorological Research Center, Tehran, Iran
Atmospheric Science & Meteorological
Iran


L.
Mohammadian
Forecasting Department, Meteorological Organization, Tehran, Iran
Forecasting Department, Meteorological Organizatio
Iran


A.
Vazifeh
Forecasting Department, Meteorological Organization, Tehran, Iran
Forecasting Department, Meteorological Organizatio
Iran
Meteorological classification
synoptic climatologic approach
air pollution episode
Semienclosed basin
Tehran
Electronic Properties of Titanium using density functional theory
2
2
In the present work, the electronic properties of titanium were studied in three phases of α, β and ω using the Density Function Theory (DFT). The full potential augmented plane wave plus local orbital (FLAPW+lo) method was applied using the generalized gradient approximation. The calculated total energies showed that omega phase was more stable than the two other phases. The largest electrical conductance was related to the β phase. These results were in good agreement with the findings of the previous works. In addition, these results showed that an increase in volume would lead to a decrease in energy; thus, causing an increase in the electrical conduction.
1

511
515


M.
Jafari
Physics Department, K. N. Toosi University of Technology, P.O.Box:163151618, Tehran, Iran
Physics Department, K. N. Toosi University
Iran
jafari@kntu.ac.ir


H.
Jamnezhad
Physics Department, K. N. Toosi University of Technology, P.O.Box:163151618, Tehran, Iran
Physics Department, K. N. Toosi University
Iran


L.
Nazarzadeh
Physics Department, K. N. Toosi University of Technology, P.O.Box:163151618, Tehran, Iran
Physics Department, K. N. Toosi University
Iran
Electronic conductivity
Titanium
DFT calculation