8 resultados para Varieties Of Lie Algebras

em Brock University, Canada


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The characteristic "foxy" aroma of Vilis labrusca Concord grapes is due in large part to methyl anthranilate, a volatile ester formed by the enzyme anthraniloyl- CoA:methanol anthraniloyltransferase (VIAMAT) of the superfamily of BARD acyltransferases. The publication of the genome ofthe closely related wine grape Vilis vinifera, which does not accumulate methyl anthranilate, permitted the searching for any putative VlAU4T-like genes, with the result of 5 highly homologous candidates being found, with one candidate sharing 95% identity to VlAU4T. Probing the gene expression of 18 different cultivars of V. vinifora ripe berries by RT -PCR showed that many varieties do indeed express VlAU4T-like genes. Subsequent cloning of the full-length open reading frame of one of these genes from eDNA prepared from the cultivar Sauvignon Blanc permitted preliminary biochemical characterization of the enzyme after heterologous expression in E. coli. It was determined that this alcohol acyltransferase (named VvsbAATl) catalyzes the formation of cis-3-hexenyl acetate, a "green-leaf' volatile. Although the cloned gene from Sauvignon Blanc had 95% identity at the amino acid level to VIAMAT, it displayed an altered substrate specificity and expression pattern. These results highlight the difficulty in predicting substrate specificity and function of enzymes through the basis of sequence homology, which is a common finding in the study of BARD acyltransferases. Also, the determination of function of VvsbAATl and other BARD acyltransferases in V. vinifera could be used as a genetic marker for certain aroma characteristics in grape breeding programs.

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This study examined the attitudes of South Korean teachers of English in Jeollanamdo toward Konglish, particularly in relation to English education. The literature search shows that Konglish is a typical local variety, evolved from the borrowing and redefining of English words that became part of everyday South Korean speech. Konglish is not unique in this regard. Japlish in Japan and Chinglish in China developed for similar reasons and display the distinctive characteristics of those languages. However, Konglish is usually defined as poor and incorrect. Teachers in the study expressed embarrassment, shyness, guilt, and anger about Konglish. On the other hand, they also valued it as something uniquely theirs. Teachers believed that students should not be taught that Konglish is bad English. However, students should be taught that it is poor or incorrect. With few exceptions, they correct Konglish in their classes. Teachers exhibited considerable inner conflict. They defined Konglish as valid when used in Korea with Koreans. However, some preferred that their students not use it, even with their friends. This may cause students to judge Konglish as unacceptable or inferior. The teachers believed that students should learn to distinguish between Konglish and "Standard English," and that they should learn about the contexts in which each is appropriate or preferred. The conclusion, therefore, is that South Korean teachers see the value of teaching about varieties of English. The recommendations are that intelligibility, broader communication skills, and information about International English be included in the curriculum in South Korea.

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Relation algebras and categories of relations in particular have proven to be extremely useful as a fundamental tool in mathematics and computer science. Since relation algebras are Boolean algebras with some well-behaved operations, every such algebra provides an atom structure, i.e., a relational structure on its set of atoms. In the case of complete and atomic structure (e.g. finite algebras), the original algebra can be recovered from its atom structure by using the complex algebra construction. This gives a representation of relation algebras as the complex algebra of a certain relational structure. This property is of particular interest because storing the atom structure requires less space than the entire algebra. In this thesis I want to introduce and implement three structures representing atom structures of integral heterogeneous relation algebras, i.e., categorical versions of relation algebras. The first structure will simply embed a homogeneous atom structure of a relation algebra into the heterogeneous context. The second structure is obtained by splitting all symmetric idempotent relations. This new algebra is in almost all cases an heterogeneous structure having more objects than the original one. Finally, I will define two different union operations to combine two algebras into a single one.

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Basic relationships between certain regions of space are formulated in natural language in everyday situations. For example, a customer specifies the outline of his future home to the architect by indicating which rooms should be close to each other. Qualitative spatial reasoning as an area of artificial intelligence tries to develop a theory of space based on similar notions. In formal ontology and in ontological computer science, mereotopology is a first-order theory, embodying mereological and topological concepts, of the relations among wholes, parts, parts of parts, and the boundaries between parts. We shall introduce abstract relation algebras and present their structural properties as well as their connection to algebras of binary relations. This will be followed by details of the expressiveness of algebras of relations for region based models. Mereotopology has been the main basis for most region based theories of space. Since its earliest inception many theories have been proposed for mereotopology in artificial intelligence among which Region Connection Calculus is most prominent. The expressiveness of the region connection calculus in relational logic is far greater than its original eight base relations might suggest. In the thesis we formulate ways to automatically generate representable relation algebras using spatial data based on region connection calculus. The generation of new algebras is a two pronged approach involving splitting of existing relations to form new algebras and refinement of such newly generated algebras. We present an implementation of a system for automating aforementioned steps and provide an effective and convenient interface to define new spatial relations and generate representable relational algebras.

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A system comprised of a Martin-Puplett type polarizing interferometer and a Helium-3 cryostat was developed to study the transmission of materials in the very-far-infrared region of the spectrum. This region is of significant interest due to the low-energy excitations which many materials exhibit. The experimental transmission spectrum contains information concerning the optical properties of the material. The set-up of this system is described in detail along with the adaptations and improvements which have been made to the system to ensure the best results. Transmission experiments carried out with this new set-up for two different varieties of materials: superconducting thin films of lead and biological proteins, are discussed. Several thin films of lead deposited on fused silica quartz substrates were studied. From the ratio of the transmission in the superconducting state to that in the normal state the superconducting energy gap was determined to be approximately 25 cm-1 which corresponds to 2~/kBTc rv 5 in agreement with literature data. Furthermore, in agreement with theoretical predictions, the maximum in the transmission ratio was observed to increase as the film thickness was increased. These results provide verification of the system's ability to accurately measure the optical properties of thin low-Tc superconducting films. Transmission measurements were carried out on double deionized water, and a variety of different concentrations by weight of the globular protein, Bovine Serum Albumin, in the sol, gel and crystalline forms. The results of the water study agree well with literature values and thus further illustrate the reproducibility of the system. The results of the protein experiments, although preliminary, indicate that as the concentration increases the samples become more transparent. Some weak structure in the frequency dependent absorption coefficient, which is more prominent in crystalline samples, may be due to low frequency vibrations of the protein molecules.

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Relation algebras is one of the state-of-the-art means used by mathematicians and computer scientists for solving very complex problems. As a result, a computer algebra system for relation algebras called RelView has been developed at Kiel University. RelView works within the standard model of relation algebras. On the other hand, relation algebras do have other models which may have different properties. For example, in the standard model we always have L;L=L (the composition of two (heterogeneous) universal relations yields a universal relation). This is not true in some non-standard models. Therefore, any example in RelView will always satisfy this property even though it is not true in general. On the other hand, it has been shown that every relation algebra with relational sums and subobjects can be seen as matrix algebra similar to the correspondence of binary relations between sets and Boolean matrices. The aim of my research is to develop a new system that works with both standard and non-standard models for arbitrary relations using multiple-valued decision diagrams (MDDs). This system will implement relations as matrix algebras. The proposed structure is a library written in C which can be imported by other languages such as Java or Haskell.

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Qualitative spatial reasoning (QSR) is an important field of AI that deals with qualitative aspects of spatial entities. Regions and their relationships are described in qualitative terms instead of numerical values. This approach models human based reasoning about such entities closer than other approaches. Any relationships between regions that we encounter in our daily life situations are normally formulated in natural language. For example, one can outline one's room plan to an expert by indicating which rooms should be connected to each other. Mereotopology as an area of QSR combines mereology, topology and algebraic methods. As mereotopology plays an important role in region based theories of space, our focus is on one of the most widely referenced formalisms for QSR, the region connection calculus (RCC). RCC is a first order theory based on a primitive connectedness relation, which is a binary symmetric relation satisfying some additional properties. By using this relation we can define a set of basic binary relations which have the property of being jointly exhaustive and pairwise disjoint (JEPD), which means that between any two spatial entities exactly one of the basic relations hold. Basic reasoning can now be done by using the composition operation on relations whose results are stored in a composition table. Relation algebras (RAs) have become a main entity for spatial reasoning in the area of QSR. These algebras are based on equational reasoning which can be used to derive further relations between regions in a certain situation. Any of those algebras describe the relation between regions up to a certain degree of detail. In this thesis we will use the method of splitting atoms in a RA in order to reproduce known algebras such as RCC15 and RCC25 systematically and to generate new algebras, and hence a more detailed description of regions, beyond RCC25.

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A menu from the event "le Diner de Noel Des Pape Clement V to be held at St. Francis Hotel in San Francisco, California. The menu includes several varieties of wine, all highlighted in red ink.