2011
35
2
2
0
hypergroups and semihypergroups associated to binary relations
2
2
The concept of semihypergroups is a generalization of semigroups, a generalization of semihypergroups and a generalization of semigroups. In this paper, we study the concept of semiprime ideals in a semihypergroup and prove some results. Also, we introduce the notion of hypergroups and closed subhypergroups. Finally, we study the concept of semihypergroups associated to binary relations and give necessary and sufficient conditions on a set of binary relations on a nonempty set S such that S becomes a semihypergroup or a hypergroup
1

69
80


D.
Heidari
Department of Mathematics,Yazd University, Yazd, Iran
Department of Mathematics,Yazd University,
Iran


B.
Davvaz
Department of Mathematics,Yazd University, Yazd, Iran
Department of Mathematics,Yazd University,
Iran
davvaz@yazduni.ac.ir
hypergroup
semihypergroup
semigroup
semihypergroup
binary relation
A new edge detection method based on the analytic signal of tilt angle (ASTA) for magnetic and gravity anomalies
2
2
In order to obtain maximum information from magnetic and gravity anomaly maps, application of an edgedetection method is necessary. In this regard two commonly used methods are derivative filters and local phase filters. In this paper, a MATLAB code is expanded to combine an analytic signal filter and a tilt angle filter as a new edge detection filter called ASTA filter. This method was demonstrated on synthetic magnetic data from 3 models and also on real magnetic and gravity data from southwest England. Findings show that the boundaries of a causative body are enhanced more accurately using this new filter, compared with other edge detection filters. The source code in MATLAB format is available from the authors on request.
1

81
88


A. H.
Ansari
Department of Mining and Metallurgical Engineering, Yazd University, Iran
Department of Mining and Metallurgical Engineering
Iran
h.ansari@yazduni.ac.ir


K.
Alamdar
Department of Mining and Metallurgical Engineering, Yazd University, Iran
Department of Mining and Metallurgical Engineering
Iran
Magnetic anomaly
gravity anomaly
edge detection
derivative filters
local phase
ASTA
southwest England
Regarding the KählerEinstein structure on Cartan spaces with Berwald connection
2
2
A Cartan manifold is a smooth manifold M whose slit cotangent bundle 0T *M is endowed with a regularHamiltonian K which is positively homogeneous of degree 2 in momenta. The Hamiltonian K defines a (pseudo)Riemannian metric ij g in the vertical bundle over 0 T *M and using it, a Sasaki type metric on 0 T *M is constructed. A natural almost complex structure is also defined by K on 0 T *M in such a way that pairing it with the Sasaki type metric an almost Kähler structure is obtained. In this paper we deform ij g to a pseudoRiemannian metric ij G and we define a corresponding almost complex Kähler structure. We determine the LeviCivita connection of G and compute all the components of its curvature. Then we prove that if the structure ( , , ) 0 T *M G J is Kähler Einstein, then the Cartan structure given by K reduces to a Riemannianone.
1

89
99


E.
Peyghan
Department of Mathematics, Faculty of Science, Arak University, Arak 3815688349, Iran
Department of Mathematics, Faculty of Science,
Iran
epeyghan@gmail.com


A.
Ahmadi
Department of Mathematics, Faculty of Science, Arak University, Arak 3815688349, Iran
Department of Mathematics, Faculty of Science,
Iran


A.
Tayebi
Department of Mathematics and Computer Science, Qom University, Qom, Iran
Department of Mathematics and Computer Science,
Iran
Cartan space
Kähler structure
symmetric space
Einstein manifold
Laplace operator
Divergence
Gradient
Environmental impacts of natural contaminants and mining activities on the surface and agricultural soils in the AqDarreh river watershed, Takab, West Azerbaijan Province, NW Iran
2
2
The concentrations of potentially toxic elements (As, Sb, and Hg) and some trace elements in 36 topsoil samples and 18 agricultural soil samples were measured at the AqDarreh River watershed, NW Iran. Based on the results of the chemical analysis and comparing them with different standards, it seems that the soils of the AqDarreh River watershed are polluted with As and Sb. This pollution results from geochemical background (natural contamination) and mining activities. Geochemical background values in topsoil and agricultural soils were estimated for As (429.7 ppm and 98.8 ppm), Sb (79.02 ppm and 3.98 ppm), and Hg (356 ppb and 2596 ppb). This research also indicates that mining activities have played a significant role in soil pollution and increasing As, Sb and Hg concentration in topsoils and As and Sb in agricultural soils. Results of sequential leaches and XRD analyses of both soil types showed that most of the As concentration is bound to amorphous iron hydroxides in soils, while Sb and Hg are bound to resistant minerals such as stibnite and cinnabar. Clay and carbonate minerals have a lower adsorption of these pollutant elements in both topsoil and agricultural soils.
1

101
111


Y.
Rahimsouri
Department of Geology, Faculty of Sciences, Urmia University, Urmia 57153  165, I. R. of Iran
Department of Geology, Faculty of Sciences,
Iran
rahimsouri@yahoo.com


A.
Yaghubpur
Department of Geology, Faculty of Sciences, Tarbiat Moalem University, Tehran, I. R. of Iran
Department of Geology, Faculty of Sciences,
Iran


S.
Modabberi
Faculty of Geology, University College of Science, University of Tehran, Tehran, I. R. of Iran
Faculty of Geology, University College of
Iran


S.
Alipour
Department of Geology, Faculty of Sciences, Urmia University, Urmia 57153  165, I. R. of Iran
Department of Geology, Faculty of Sciences,
Iran
Soil pollution
sequential leaches
geoaccumulation index
pollution sources
AqDarreh mining district
Iran
The measurement of returns to scale under a simultaneous occurrence of multiple solutions in a reference set and a supporting hyperplane with weight restrictions
2
2
Sueyoshi and Sekitani in 2007 presented a paper that explores the measurement of Returns to Scale under a possible occurrence of multiple solution in a reference set and a supporting hyperplane. The occurrence ofmultiple solutions is classified into Type I and Type II. Type I is an occurrence of multiple solutions in a reference set. Type II is an occurrence of multiple solutions on a supporting hyperplane passing on the reference set. In this paper we want to apply their method for estimating RTS under weight restrictions. For this goal we use tone’s method for estimating RTS under weight restrictions.
1

113
116


M.
Mardani Shahrbabak
School of Sciences, Math group, Universisy of Sistan and Baluchestan, Iran
School of Sciences, Math group, Universisy
Iran
mardani_mahmood@yahoo.com


A. A.
Noura
School of Sciences, Math group, Universisy of Sistan and Baluchestan, Iran
School of Sciences, Math group, Universisy
Iran
Data Envelopment Analysis
returns to scale
weight restrictions
Bivariations and tensor products
2
2
The ordinary tensor product of modules is defined using bilinear maps (bimorphisms), that are linear in eachcomponent. keeping this in mind, Linton and Banaschewski with Nelson defined and studied the tensor product in an equational category and in a general (concrete) category K, respectively, using bimorphisms, that is, defined via the Homfunctor on K. Also, the socalled sesquilinear, or one and a half linear maps and the corresponding tensor products generalize these notions for modules and vector spaces. In this paper, taking a concrete category K and an arbitrary subfunctor H of the functor U¢ = Hom (Uop ´U) rather than just the Homfunctor, where U is the underlying set functor on K, we generalize sesquilinearity to bivariation and study the related notions such as functional internal lifts, universal bivariants, tensor products, and their interdependence.
1

117
124


M. M.
Ebrahimi
Department of Mathematics, Center of Excellence in Algebraic and Logical Structures
in Discrete Mathematics, Shahid Beheshti University, G. C., Tehran, Iran
Department of Mathematics, Center of Excellence
Iran
mmahmoudi@cc.sbu.ac.ir


M.
Mahmoudi
Department of Mathematics, Center of Excellence in Algebraic and Logical Structures
in Discrete Mathematics, Shahid Beheshti University, G. C., Tehran, Iran
Department of Mathematics, Center of Excellence
Iran
Bilinear
bivariance
functional internal lift
tensor product
On Matsumoto metrics of special Ricci tensor
2
2
In this paper, the Matsumoto metric with special Ricci tensor has been investigated. It is proved that, if is ofpositive (negative) sectional curvature and F is of parallel Ricci curvature with constant killing 1form ,then (M,F) is a Riemannian Einstein space. In fact, we generalize the Riemannian result established by AkbarZadeh.
1

125
130


B.
Rezaei
Faculty of Science, Department of Mathematics, Urmia University, Urmia, Iran
Faculty of Science, Department of Mathematics,
Iran
b.rezaei@urmia.ac.ir


M.
RafieRad
Faculty of science, Department of Mathematics Mazandaran University,
P.O. Box 474161467, Babolsar, Iran
Faculty of science, Department of Mathematics
Iran
Matsumoto metric
Ricci parallel tensor
Einstein Finsler space
Resource allocation in multiserver dynamic PERT networks using multiobjective programming and Markov process
2
2
In this research, both resource allocation and reactive resource allocation problems in multiserver dynamic PERT networks are analytically modeled, where new projects are expected to arrive according to a Poisson process, and activity durations are also known as independent random variables with exponential distributions. Such system is represented as a queuing network, where multi servers at each service station are allocated, and also each activity of a project is operated at a devoted service station with only one server located at a node of the network based on First Come First Serve (FCFS) policy. In order to propose a novel approach for modeling of multiserver dynamic PERT network, initially the network of queues is transformed into a stochastic network. Then, a differential equations system is organized to solve and obtain approximate completion time distribution for any particular project by applying an appropriate finitestate continuoustime Markov model. Finally, a multiobjective model including four conflicted objectives is presented to optimally control the resources allocated to the service stations in a multiserver dynamic PERT network, and the goal attainment method is further employed to solve a discretetime approximation of the primary multiobjective problem.
1

131
147


S.
Yaghoubi
Department of Industrial Engineering, Iran University of Science and Technology, Tehran, Iran
Department of Industrial Engineering, Iran
Iran


S.
Noori
Department of Industrial Engineering, Iran University of Science and Technology, Tehran, Iran
Department of Industrial Engineering, Iran
Iran


M.
Bagherpour
Department of Industrial Engineering, Iran University of Science and Technology, Tehran, Iran
Department of Industrial Engineering, Iran
Iran
bagherpour@iust.ac.ir
Project management
Markov processes
multiple objective programming
reactive resource allocation
The Nehari manifold for a Navier boundary value problem involving the pbiharmonic
2
2
In this paper, we study the Nehari manifold and its application on the following Navier boundary valueproblem involving the pbiharmonic 0, on( ) 1 ( , ) , in , 2*2u uf x u u upu u p q where is a bounded domain in RN with smooth boundary . We prove that the problem has atleast two nontrivial nonnegtive solutions when the parameter belongs to a certain subset of R .
1

149
155


N.
Nyamoradi
Department of Mathematics, Faculty of Sciences
Razi University, 67149 Kermanshah, Iran
Department of Mathematics, Faculty of Sciences
Raz
Iran
nyamoradi@razi.ac.ir
Multiple positive solutions
Nehari manifold
critical Sobolev exponent
Freshwater green algae Chlorella sp. and Scenedesmus obliquus enriched with B group of vitamins can enhance fecundity of Daphnia magna
2
2
One of the most important aims of aquatic hatcheries is availability to mass produce of Daphnia magna as a live food with high nutritional value in the shortest time. In the present study, D. magna fed with two freshwater green algae species, Chlorella sp. and Scenedesmus obliquus, enriched with different dosages of a mixture B group vitamins (0, 0.5, 1 and 2 ml.l1) were compared at two stages (at the beginning of the culture and at the end of logarithmic growth phase). The results showed that increases in the B group vitamin levels in both enriched algae performed, increasing the fecundity and population growth rate in D. magna at the two compared stages, but significantly only with the control group (P<0.05). The highest fecundity and population growth rate obtained in D. magna was when they were fed algae enriched with 2 ml.l 1, but not significantly with 0.5 and 1 ml.l1(P>0.05).
1

157
163


N.
Mehdipour
Department of Marine Biology, Faculty of Marine Science and Technology,
Science and Research Branch, Islamic Azad University, Tehran, Iran
Department of Marine Biology, Faculty of
Iran
neda.mehdipour@gmail.com


M.
Fallahi
Internal Waters Aquaculture Research Institute, Anzali Port, Guilan, Iran
Internal Waters Aquaculture Research Institute,
Iran


G.
Azari Takami
Department of Aquatic Health and Diseases, Faculty of Veterinary Medicine, Tehran University, Tehran, Iran
Department of Aquatic Health and Diseases,
Iran


G.
Vossoughi
Department of Marine Biology, Faculty of Marine Science and Technology,
Science and Research Branch, Islamic Azad University, Tehran, Iran
Department of Marine Biology, Faculty of
Iran


A.
Mashinchian
Department of Marine Biology, Faculty of Marine Science and Technology,
Science and Research Branch, Islamic Azad University, Tehran, Iran
Department of Marine Biology, Faculty of
Iran
Chlorella sp
Scenedesmus obliquus
Daphnia magna reproductive performance