Journal of Sciences, Islamic Republic of Iran
Volume:17 Issue: 2, Spring 2006

In the present paper, among other results, a decomposition formula is given for the w-bounded continuous negative definite functions of a topological *-semigroup S with a weight function w into a proper H*-algebra A in terms of w-bounded continuous positive definite A-valued functions on S. A generalization of a well-known result of K. Harzallah is obtained. An earlier conjecture of the author is also established.

Randomly amplified polymorphic DNA (RAPD) markers were used to study the genetic diversity and discriminate among 17 unknown genotypes (considered potentially salt tolerant) and 16 known olive cultivars. Fifteen decamer primers which produced 38 reproducible polymorphic bands in the genotypes were selected for analysis. The RAPD markers resulted in 93 distinct banding patterns. Based on either unique or combined patterns all genotypes could be identified. Genetic similarities between genotypes were estimated using Jaccard''s similarity index indicating a high degree of diversity within the known and unknown genotypes. Using the unweighted pair-group method (UPGMA), most genotypes were clustered into two main groups according to their origin area of cultivation (native and foreign ones). The unknown genotypes mainly clustered with cv. Zard, one of the native Iranian olive cultivars. The presented results contribute to a comprehensive understanding of unknown olive genotypes, which potentially are tolerant to the high salinity of their cultivation area. These genotypes could be important for extension of cultivation purposes and breeding programs.

Genotyping for five short tandem repeat (STR) loci HUMvWA, HUMFES, HUMTPO, HUMTH01 and D3S1359 was done in 220 unrelated individuals from the population of Isfahan province of IR Iran. The loci were genotyped using the polymerase chain reaction (PCR) followed by polyacrylamide gel electrophoresis (PAGE) and silver staining. The data demonstrated that the STR markers were all found informative in the population examined. The markers were also found to have a relatively high degree of heterozygosity. Forensic and paternity indices including power of discrimination (PD) and exclusion (PE) as well as polymorphism information content (PIC) and typical paternity index were determined for the examined STR alleles. Together, the examined STR loci in this study could be considered for paternity testing and individual identification in Iranian population. Moreover, the data could be used in construction of the first Iranian STR genetic database.

Several 2-ketomethylquinolines were synthesized by heating, 2-methyl quinoline with acyl chloride in the presence of AlCl3 Contrary to reported procedures, this method was accomplished at a short time obtaining good results.

Trimethylsilylation of a variety of alcohols and phenols, in the presence of silica chloride, using hexamethyldisilazane (HMDS) in solution and under solvent-free conditions is reported. Trimethylsilyl ethers were formed in excellent yields both for aliphatic alcohols and phenols without having an electron-withdrawing group. In addition, SiO2-Cl can be recovered and reused after drying.

The study area is located in northeastern Iran (south of Mashhad). The Paleo-Tethys remnants (meta-ophiolite and meta-flysch) were intruded at three different episodes of magmatism (Triassic to Cretaceous time). 1) Dehnow-Kuhsangi hornblende biotite tonalite-granodiorite; 2) Sangbast Feldspar monzogranite; and 3) Khajehmourad biotite-muscovite leucogranite and pegmatite. They are moderately peraluminous to highly felsic peraluminous S-type granitoid. Paleo-Tethys opened in Silurian time and subduction under Turan plate was started in Late Devonian. By Late Carnian (225 m.y. ago) there was no Paleotethys left on an Iranian transect. Turan plate is abducted over Iran Plate. Only two stages of low grade regional metamorphism are exposed, Hercynian orogeny (Late Paleozoic) and Cimmerian orogeny (Jurassic time). Ophiolites constitute allochthonous sheets and they are dated by 40Ar-39Ar, 281.4 and 277.4 Ma. Dehnow to Kuhsangi tonalite-granodiorite (Early Triassic) are meta to moderately peraluminous S to I-type granitoids. They are sub-alkaline, calcic-type. They have low values of magnetic susceptibility [(1.5 to 2.5) × 10−5 SI]. Sangbast feldspar monzogranite porphyry (Late Triassic) is moderately peraluminous, K-rich calc-alkaline type. Biotite-muscovite leucogranite and late pegmatite dikes (Jurassic age) are highly felsic peraluminous S-type granitoids. They are syn-collision granite. They have low values of magnetic susceptibility [(0.1 to 0.6) × 10−5 SI]. Total REE content of tonalite-granodiorite is 101-136, in feldspar monzogranite is 221-238 and in leucogranite is 130-170 ppm. The leucogranite has the highest [(La/Yb)N = 37-124] tonalite-granodiorite has the lowest [(La/Yb)N = 7 to 22]. The Eu anomalies (Eu/Eu* = 0.55 to 1.1) is low in all of them. Tonalite-granodiorite magma has originated from a mafic source. Feldspar monzogranite has originated from a deeper source and contaminated in the crust. Biotite-muscovite leucogranite may have originated from the crustal materials.

The spatial distribution of mineralization is the foremost concern in regional exploration and it could be considered as a very important tool in the investigation of mineral deposits. There are several data manipulation methods by which the data can be evaluated. Fry analysis is a good method to determine the direction(s) of maximum continuity of the deposits and could be used in different types of deposits. Chromite deposits in Iran are postulated to be related to Alpine orogen. They are mostly podiform types and irregular in their settings. The deposits are located in the ophiolite complexes of Iran. The spatial distribution of five chromite deposits using Fry analysis has been recorded and it appears that the preferred orientation of each deposit coincides with the general trend of faults in each region.

We propose a wavelet based regression function estimator for the estimation of the regression function for a sequence of ρ-missing random variables with a common one-dimensional probability density function. Some asymptotic properties of the proposed estimator based on block thresholding are investigated. It is found that the estimators achieve optimal minimax convergence rates over large classes of functions that involve many irregularities of a wide variety of types, including chirp and Doppler functions and jump discontinuities.

We discuss in this paper the strong convergence for weighted sums of negatively orthant dependent (NOD) random variables by generalized Gaussian techniques. As a corollary, a Cesaro law of large numbers of i.i.d. random variables is extended in NOD setting by generalized Gaussian techniques.

In this paper the concept of the Minimum Universal Cost Flow (MUCF) for an infeasible flow network is introduced. A new mathematical model in which the objective function includes the total costs of changing arc capacities and sending flow is built and analyzed. A polynomial time algorithm is presented to find the MUCF.