An explicit correspondence between certain modular curves

In this thesis, we recall an alternative proof of Merel\u27s conjecture, which asserts that a certain explicit correspondence gives the isogeny relation between the Jacobians associated to the normalizer of split and non-split Cartan subgroups. This alternative proof does not require extensive representation theory and can be formulated in terms of certain finite geometries modulo $ell$. Secondly, we generalize these arguments to exhibit an explicit correspondence which gives the isogeny relation between the Jacobians associated to split and non-split Cartan subgroups. An interesting feature is that the required explicit correspondence is considerably more complicated but can be expressed as a certain linear combination of double coset operators whose coefficients we are able to make explicit

DETERMINING THE MARKETING CAPABILITIES OF SMALL AND MEDIUM-SIZED INDUSTRIES FOR THE INTERNATIONAL MARKET

Abstract. Today, competition in the current conditions of the export market, forces the organizations to adopt strategies to confront this competition in order to achieve higher export performance, but achieving higher performance is something that some researchers consider as the result of paying head to and this has become more important in manufacturing and service organizations. The main purpose of this research is to study the international market growth styles based on the ability to create international network studies of automotive industrial companies in the Bam SpecialEconomic Zone. The research method is descriptive survey. The data collection method is in two sections: library and field studies. Given the fact that the size of the statistical society of the industries of automobile industrial park of Bam Special Economic Zone is 1606, the sample size of the desired Morgan table should be at least 210. To analyze the data, Excel software for data recording and data analysis, and SPSS and AMOS statistical software were used to test the hypotheses of the research. The results show that internet marketing capability has a direct and significant effect onaccess to information, access to information has a direct and significant effect on the international strategy, internet marketing capability has a direct and significant effect on the international pivotal strategy, the international pivotal strategy has a direct and significant effect on the international business, internet marketing capability has a direct and significant effect on the international network capability, the international strategy has a direct and significant effect on the international network capability, the ability of the international network have a direct and significant impact on international business in Bam automotive companies in special economic zone there. Therefore, it is suggested thatmanagers should create structures, processes and new methods for doing business and develop an export strategy in all sectors and enhancing interact among the marketing capabilities and developing the international market, in order to create the value of the market of exporters industries.Keyword: International Market Growth, International Networking Capability

DETERMINING THE MARKETING CAPABILITIES OF SMALL AND MEDIUM-SIZED INDUSTRIES FOR THE INTERNATIONAL MARKET

Abstract. Today, competition in the current conditions of the export market, forces the organizations to adopt strategies to confront this competition in order to achieve higher export performance, but achieving higher performance is something that some researchers consider as the result of paying head to and this has become more important in manufacturing and service organizations. The main purpose of this research is to study the international market growth styles based on the ability to create international network studies of automotive industrial companies in the Bam SpecialEconomic Zone. The research method is descriptive survey. The data collection method is in two sections: library and field studies. Given the fact that the size of the statistical society of the industries of automobile industrial park of Bam Special Economic Zone is 1606, the sample size of the desired Morgan table should be at least 210. To analyze the data, Excel software for data recording and data analysis, and SPSS and AMOS statistical software were used to test the hypotheses of the research. The results show that internet marketing capability has a direct and significant effect onaccess to information, access to information has a direct and significant effect on the international strategy, internet marketing capability has a direct and significant effect on the international pivotal strategy, the international pivotal strategy has a direct and significant effect on the international business, internet marketing capability has a direct and significant effect on the international network capability, the international strategy has a direct and significant effect on the international network capability, the ability of the international network have a direct and significant impact on international business in Bam automotive companies in special economic zone there. Therefore, it is suggested thatmanagers should create structures, processes and new methods for doing business and develop an export strategy in all sectors and enhancing interact among the marketing capabilities and developing the international market, in order to create the value of the market of exporters industries.Keyword: International Market Growth, International Networking Capability

Rising the persian gulf black-lip pearl oyster to the species level: fragmented habitat and chaotic genetic patchiness in Pinctada persica

Marine organisms with long pelagic larval stages are expected to exhibit low genetic differentiation due to their potential to disperse over large distances. Growing body of evidence, however, suggests that marine populations can differentiate over small spatial scales. Here we focused on black-lip pearl oysters from the Persian Gulf that are thought to belong to the Pinctada margaritifera complex given their morphological affinities. This species complex includes seven lineages that show a wide distribution ranging from the Persian Gulf (Pinctada margaritifera persica) and Indian Ocean (P. m. zanzibarensis) to the French Polynesia (P. m. cumingii) and Hawai'i (P. m. galtsoffi). Despite the long pelagic larval phase of P. m. persica, this lineage is absent from continental locations and can only be found on a few islands of the Persian Gulf. Mitochondrial COI-based analyses indicated that P. m. persica belongs to a clearly divergent ESU and groups with specimens from Mauritius (P. m. zanzibarensis). Microsatellite data, used here to assess the spatial scale of realized dispersal of Persian Gulf black-lip pearl oysters, revealed significant genetic structure among islands distant of only a few dozen kilometres. The scantiness of suitable habitats most likely restricted the distribution of this lineage originating the observed chaotic genetic patchiness. The hatchery-based enhancement performed in one of the sampled islands may also have affected population genetic structure. The long-term accumulation of genetic differences likely resulted from the allopatric divergence between P. m. persica and the neighbouring Indian Ocean black-lip pearl oysters

Ultralight Microlattice Materials with Unique Combination of Stiffness and Damping

Ultralight hollow microlattice materials offer tremendous potential for energy dissipation, thanks to a unique form of structural damping associated with local buckling of the hollow bars. This dissertation provides a comprehensive study of this damping mechanism and exploits it for the design of hollow microlattices with superior combinations of stiffness and damping at low mass. To encompass a wide design space, both metallic and hybrid (metal/elastomer) hollow microlattices are investigated. This structural damping mechanism is studied in detail and a simple mechanical model is developed and validated by experimental characterization. The model is adopted to optimize the microlattice geometry for maximum values of a damping figure of merit, expressing optimal combinations of high stiffness, low density and high damping coefficient. We find that hollow metallic microlattices exhibit exceptionally large values of this figure of merit; however, this level of performance requires extremely low relative densities (<0.1%), thus limiting the actual amount of energy dissipated.In order to increase the damping figure of merit at higher densities, hollow microlattices with metal/elastomer/metal sandwich walls are investigated. The sandwich construction provides increased local buckling strength, thus increasing the amount of energy dissipated by the lattice in a loading cycle. At the same time, the elastomer provides additional energy dissipation through the classic intrinsic constrained-layer damping mechanism, which is active even at relatively high densities and low deformation amplitudes. An analytical model for stiffness and damping (both intrinsic and structural) of hybrid hollow microlattices is derived, and verified via Finite Elements analyses and experimental characterization. Finally, the model is adopted in optimal design studies to identify hybrid microlattices with ideal combinations of the same figure of merit used for metallic lattices. The results indicate that hybrid lattices are clearly superior. Over the course of this work, significant discrepancies between predicted and measured values of the mechanical properties (e.g., stiffness, strength) of ultralight hollow microlattices were consistently observed. Such discrepancies are attributed to a complex stress state around the hollow nodes and the existence of a variety of manufacturing-induced geometric imperfections (e.g. cracks, non-circularity of the bars). The ultralight nature of the lattices investigated in this study makes them particularly sensitive to these defects. Here, a detailed study of such imperfections is performed with the aim of quantifying their effects on the mechanical performance of the lattices. The results confirm that the major discrepancy between analytical and experimental results can indeed be attributed to manufacturing-induced imperfections