ON FOUR PRIME AND COPRIME FUNCTIONS

Here we shall formulate and prove four assertions related to prime and coprime functions

Genotyping of Bulgarian Vitis vinifera L. cultivars by microsatellite analysis

A characterization of the Bulgarian grapevine genepool (Vitis vinifera L. cultivars) was initiated through microsatellite analysis. Seventy four wine and table grapevine varieties from the National List of Cultivars, were analyzed at 9 microsatellite loci: VVS2, ssrVvUCH11, ssrVvUCH 29, ssrVrZAG21, ssrVrZAG47, ssrVrZAG62, ssrVrZAG64, ssrVrZAG79 and ssrVrZAG83. The high genetic diversity (78 %) allowed accurate identification and discrimination of the cultivars. The low PI value (1.201 x 10-8) reflects the high discriminative power of the chosen set of markers for the investigated population. Based on the microsatellite allele data, two pairs of old native varieties, Misket Cherven and Misket Vrachanski; Tamyanka and Tamyanka tvarda, were considered distinct cultivars. The synonymy ofTamyanka, Italian Moscato Bianco and Greek Moschato Kerkyras andPamid and Greek Pamidi was verified, while the putative synonymy of Mavrud and Greek Mavroudi Arachovis was rejected.Further utilization of microsatellite profiling in the management of the Bulgarian grapevine genepool is discussed.

Construction of plant transformation vectors carrying beet necrotic yellow vein virus coat protein gene (i) - transformation vectors

Coat protein gene of beet necrotic yellow vein virus (BNYVV) was isolated from inoculated sugar beet roots and leaves of Chenopodium quinoa and Tetragonia expansa, by RT-PCR and imuno capture RT-PCR. Specific primers were made to complement coat protein gene and untranslated leader sequence, so that two fragments were obtained: long (731 bp), which contained coat protein gene and leader sequence, and short (587 bp), with coat protein gene. Fragments were cloned in two plant transformation vectors: pCAMBIA 3301M and pCAMBIA 1304M, which were modified by removing multicloning site and NcoI restriction site at the 5' end of the reporter genes. Vector pC3301M had bar gene which confers resistance against the herbicide gluphosinate ammonium as selectable marker, and pC1304M had gene for resistance to antibiotic hygromycin. Three constructs were made from each vector: CPL, containing coat protein gene with leader sequence; CPS with gene for coat protein, and CPSas with coat protein gene in antisense orientation. All constructs were transfered to Agrobacterium tumefaciens strain LBA4404

Thia- and selenaheterocycles by a four-component reaction using elemental sulfur and selenium

The course of the four-component reactions of (2-benzimidazolyl) acetonitrile, carbondisulfide, isothiocyanate, and sulfur and selenium, respectively, is quite different. Whereas in the case of sulfur a tetracyclic [1,3]thiazolo[4 ,5 :4,5]pyrimido[1,6-a]benzimidazol-2(3H)-thione is formed, a zwitterionic 7-(benzimidazolium-2-yl)-[1,2]thiaselenolo[2,3-b][1,2,4]thiaselenazole-6-thiolate (an azaselenadithiapentalene) is the product in the case of selenium. The structures of the products have been established by X-ray crystallography, and reaction mechanisms for their formation are proposed

Genetic diversity in native Bulgarian grapevine germplasm (Vitis vinifera L.) based on nuclear and chloroplast microsatellite polymorphisms

Fifty one wild specimens collected in different areas in Bulgaria and nineteen native Bulgarian grapevine cultivars were genotyped with 7 nuclear and 5 chloroplast SSR markers. Based on the microsatellite allelic profile six wild samples, collected from the Danube Riverbank, were considered non vinifera genotypes. The genetic diversity for nuclear loci observed in the cultivated grapevines was comparable to that found in other cultivated collections. However, lower genetic diversity was observed in the set of wild samples. The dendrogram based on nuclear SSRs separated most of the cultivated grapevines from the wild samples. Four chlorotypes corresponding to previously determined chlorotypes A, B, C and D, were identified in the analyzed samples that occurred with different frequencies in groups of wild and cultivated plants. The most frequent chlorotype among wild samples was A, while it was C in the cultivated samples. The differentiation of Bulgarian grape chlorotypes in the context of differentiation of chlorotypes in Eurasian grape flora is discussed.

An application of the theory of intutionistic fuzzy multigraphs

In a recent paper by one of the authors it has been shown that there is a relationship between algebraic structures and labeled transition systems. Indeed, it has been shown that an algebraic structures can be viewed as labeled transition systems, which can also be viewed as multigraphs. In this paper, we extend this work by providing an estimation of the transition possibilities between vertices that are connected with multiarcs

An intuitionistic approach to scoring DNA sequences against transcription factor binding site motifs

Background: Transcription factors (TFs) control transcription by binding to specific regions of DNA called transcription factor binding sites (TFBSs). The identification of TFBSs is a crucial problem in computational biology and includes the subtask of predicting the location of known TFBS motifs in a given DNA sequence. It has previously been shown that, when scoring matches to known TFBS motifs, interdependencies between positions within a motif should be taken into account. However, this remains a challenging task owing to the fact that sequences similar to those of known TFBSs can occur by chance with a relatively high frequency. Here we present a new method for matching sequences to TFBS motifs based on intuitionistic fuzzy sets (IFS) theory, an approach that has been shown to be particularly appropriate for tackling problems that embody a high degree of uncertainty. Results: We propose SCintuit, a new scoring method for measuring sequence-motif affinity based on IFS theory. Unlike existing methods that consider dependencies between positions, SCintuit is designed to prevent overestimation of less conserved positions of TFBSs. For a given pair of bases, SCintuit is computed not only as a function of their combined probability of occurrence, but also taking into account the individual importance of each single base at its corresponding position. We used SCintuit to identify known TFBSs in DNA sequences. Our method provides excellent results when dealing with both synthetic and real data, outperforming the sensitivity and the specificity of two existing methods in all the experiments we performed. Conclusions: The results show that SCintuit improves the prediction quality for TFs of the existing approaches without compromising sensitivity. In addition, we show how SCintuit can be successfully applied to real research problems. In this study the reliability of the IFS theory for motif discovery tasks is proven

3D discomfort from vertical and torsional disparities in natural images

The two major aspects of camera misalignment that cause visual discomfort when viewing images on a 3D display are vertical and torsional disparities. While vertical disparities are uniform throughout the image, torsional rotations introduce a range of disparities that depend on the location in the image. The goal of this study was to determine the discomfort ranges for the kinds of natural image that people are likely to take with 3D cameras rather than the artificial line and dot stimuli typically used for laboratory studies. We therefore assessed visual discomfort on a five-point scale from ‘none’ to ‘severe’ for artificial misalignment disparities applied to a set of full-resolution images of indoor scenes. For viewing times of 2 s, discomfort ratings for vertical disparity in both 2D and 3D images rose rapidly toward the discomfort level of 4 (‘severe’) by about 60 arcmin of vertical disparity. Discomfort ratings for torsional disparity in the same image rose only gradually, reaching only the discomfort level of 3 (‘strong’) by about 50 deg of torsional disparity. These data were modeled with a second-order hyperbolic compression function incorporating a term for the basic discomfort of the 3D display in the absence of any misalignments through a Minkowski norm. These fits showed that, at a criterion discomfort level of 2 (‘moderate’), acceptable levels of vertical disparity were about 15 arcmin. The corresponding values for the torsional disparity were about 30 deg of relative orientation

Interval valued intuitionistic fuzzy evaluations for analysis of a student's knowledge in university e-learning courses

© The Korean Institute of Intelligent Systems. In the paper a method is proposed for evaluation of the students' knowledge obtained in the university e-learning courses and an evaluation of the whole student class. For the assessment of the student's solution of the respective assessment units the theory of intuitionistic fuzzy sets is used, while for the class evaluation, interval valued intuitionistic fuzzy sets is used. The obtained intuitionistic fuzzy estimations reflect the degree of each student's good or poor performances, for each assessment unit. The interval valued intuitionistic fuzzy evaluations are based on the separate student's evaluations. We also consider a degree of uncertainty that represents such cases wherein the student is currently unable to solve the problem. The method presented here provides the possibility for the algorithmization of the process of forming the student's evaluations