No description available.

We demonstrate the uncountable cofinality of the automorphism groups of various linear and partial orders. We also relate this to the ‘Bergman’ property, and discuss cases where this may fail even though the cofinality is uncountable.

This thesis is devoted to the fundamental properties and applications of the Bargmann transform and the Fock-Segal-Bargmann space. The fundamental properties include unitarity and invertibility of the transformation in L2 spaces and embeddings of the Fock-Segal-Bargmann spaces in Lp for any p>0. Applications include the linear partial differential equations such as the time-dependent Schrödinger equation in harmonic potential, the diffusion equation in self-similar variables, and the linearized Korteweg-de Vries equation, and one nonlinear partial differential equation given by the Gross-Pitaevskii model for the rotating Bose-Einstein condensate. The main question considered in this work in the context of linear partial differential equation is whether the envelope of the Gaussian function remains bounded in the time evolution. We show that the answer to this question is positive for the diffusion equation, negative for the Schrödinger equation, and unknown for the Korteweg-de Vries equation. We also address the local and global well-posedness of the nonlocal evolution equation derived for the Bose-Einstein condensates at the lowest Landau level. / Thesis / Master of Science (MSc)

<p> Experiments were conducted, with rats, to ascertain the effects of partial reinforcement in aversive classical conditioning. Conditioned suppression of bar-pressing was more resistant to extinction following intermittent reinforcement of a conditioned stimulus than following consistent reinforcement. This effect was obtained whether or not bar-pressing was permitted during conditioning as well as during extinction. The effect was amplified by interpolating a large block of nonreinforced trials early in the partial schedule; it was eliminated by adding more reinforced trials prior to the partial schedule. The effect was not obtained by interpolating a large block of nonreinforcements in a continuous schedule. The data were related to current theoretical conceptions of partial reinforcement.</p> / Thesis / Doctor of Philosophy (PhD)

No description available.

<p> Various models of computability of partial functions f on the real numbers are studied: two abstract, based on approximable computation w.r.t high level programming languages; two concrete, based on computable tracking functions on the rationals; and two based on polynomial approximation. It is shown that these six models are equivalent, under the assumptions: (1) the domain of f is a union of an effective sequence of rational open intervals, and (2) f is effectively locally uniformly continuous. This includes the well-known functions of elementary real analysis (rational, exponential, trigonometric, etc., and their inverses) and generalises a previously know equivalence result for total functions on the reals. </p> / Thesis / Master of Science (MSc)

No description available.

FPGA design implementation and debug tools have not kept pace with the advances in FPGA device density. The emphasis on area optimization and circuit speed has resulted in longer runtimes of the implementation tools. We address the implementation problem using a divide-and-conquer approach in which some device area and circuit speed is sacrificed for improved implementation turnaround time. The PATIS floorplanner enables dynamic modular design that accelerates implementation for incremental changes to a design. While the existing implementation flows facilitate timing closure late in the design cycle by reusing the layout of unmodified blocks, dynamic modular design accelerates implementation by achieving timing closure for each block independently. A complete re-implementation is still rapid as the design blocks can be processed by independent and concurrent invocations of the standard tools. PATIS creates the floorplan for implementing modules in the design. Bus macros serve as module interfaces and enable independent implementation of the modules. The dynamic modular design flow achieves around 10x speedup over the standard design flow for our benchmark designs. / Master of Science

Para uma extensão de Galois de anéis comutativos, Chase-Harrison-Rosenberg construíram uma sequência exata de sete termos que envolve o grupo de Picard, o grupo de Brauer relativo e grupos de cohomologias. Essa sequência é vista como uma generalização de dois fatos importantes da teoria galoisiana de corpos, a saber, o Teorema $90$ de Hilbert e o isomorfismo de grupo de Brauer relativo com o segundo grupo de cohomologia. A sequência foi generalizada por Miyashita para o contexto de anéis não comutativos com unidade. Mais tarde, El Kaoutit e Gomez-Torrencillas generalizaram o resultado de Miyashita para uma extensão de anéis não comutativos e não unitais, apenas com um conjunto de unidades locais. A sequência de Chase-Harrison-Rosenberg também foi considerada para ações parciais por Dokuchaev, Paques e Pinedo, que construíram uma versão para uma extensão de Galois parcial de anéis comutativos. Nesta tese, elaboramos uma versão da sequência no contexto de ações parciais para uma extensão de anéis não comutativos com unidade. A sequência apresentada aqui generaliza a sequência dada por Miyashita. / For a Galois extension of commutative rings, Chase-Harrison-Rosenberg constructed a seven terms exact sequence which involves the Picard group, the relative Brauer group and cohomology groups. The sequence can be viewed as a generalization of two important facts of Galois theory of fields: the Hilbert 90 Theorem and the isomorphism of the relative Brauer group with the second cohomology group. The sequence was generalized by Miyashita for the context of non-commutative unital rings. Later, El Kaoutit and Gomez-Torrencillas extended the result of Miyashita for an extension of non-unital non-commutative rings with local units. The Chase-Harrison-Rosenberg sequence was also considered for partial actions by Dokuchaev, Paques e Pinedo, who constructed a version for a partial Galois extension of commutative rings. In this thesis, we elaborate a vesrion of the sequence in the context of partial actions for an extension of non-commutative unital rings. Our sequence generalizes the sequence given by Miyashita.

Para uma extensão de Galois de anéis comutativos, Chase-Harrison-Rosenberg construíram uma sequência exata de sete termos que envolve o grupo de Picard, o grupo de Brauer relativo e grupos de cohomologias. Essa sequência é vista como uma generalização de dois fatos importantes da teoria galoisiana de corpos, a saber, o Teorema $90$ de Hilbert e o isomorfismo de grupo de Brauer relativo com o segundo grupo de cohomologia. A sequência foi generalizada por Miyashita para o contexto de anéis não comutativos com unidade. Mais tarde, El Kaoutit e Gomez-Torrencillas generalizaram o resultado de Miyashita para uma extensão de anéis não comutativos e não unitais, apenas com um conjunto de unidades locais. A sequência de Chase-Harrison-Rosenberg também foi considerada para ações parciais por Dokuchaev, Paques e Pinedo, que construíram uma versão para uma extensão de Galois parcial de anéis comutativos. Nesta tese, elaboramos uma versão da sequência no contexto de ações parciais para uma extensão de anéis não comutativos com unidade. A sequência apresentada aqui generaliza a sequência dada por Miyashita. / For a Galois extension of commutative rings, Chase-Harrison-Rosenberg constructed a seven terms exact sequence which involves the Picard group, the relative Brauer group and cohomology groups. The sequence can be viewed as a generalization of two important facts of Galois theory of fields: the Hilbert 90 Theorem and the isomorphism of the relative Brauer group with the second cohomology group. The sequence was generalized by Miyashita for the context of non-commutative unital rings. Later, El Kaoutit and Gomez-Torrencillas extended the result of Miyashita for an extension of non-unital non-commutative rings with local units. The Chase-Harrison-Rosenberg sequence was also considered for partial actions by Dokuchaev, Paques e Pinedo, who constructed a version for a partial Galois extension of commutative rings. In this thesis, we elaborate a vesrion of the sequence in the context of partial actions for an extension of non-commutative unital rings. Our sequence generalizes the sequence given by Miyashita.