On Sharp Constants for Dual Segal--Bargmann LpL^p Spaces

We study dilated holomorphic $L^p$ space of Gaussian measures over $\mathbb{C}^n$, denoted $\mathcal{H}_{p,\alpha}^n$ with variance scaling parameter $\alpha>0$. The duality relations $(\mathcal{H}_{p,\alpha}^n)^\ast \cong \mathcal{H}_{p',\alpha}$ hold with $\frac{1}{p}+\frac{1}{p'}=1$, but not isometrically. We identify the sharp lower constant comparing the norms on $\mathcal{H}_{p',\alpha}$ and $(\mathcal{H}_{p,\alpha}^n)^\ast$, and provide upper and lower bounds on the sharp upper constant. We prove several suggestive partial results on the sharpness of the upper constant. One of these partial results leads to a sharp bound on each Taylor coefficient of a function in the Fock space for $n=1$

Duality in Segal-Bargmann Spaces

For $\alpha>0$, the Bargmann projection $P_\alpha$ is the orthogonal projection from $L^2(\gamma_\alpha)$ onto the holomorphic subspace $L^2_{hol}(\gamma_\alpha)$, where $\gamma_\alpha$ is the standard Gaussian probability measure on \C^n with variance $(2\alpha)^{-n}$. The space $L^2_{hol}(\gamma_\alpha)$ is classically known as the Segal-Bargmann space. We show that $P_\alpha$ extends to a bounded operator on $L^p(\gamma_{\alpha p/2})$, and calculate the exact norm of this scaled $L^p$ Bargmann projection. We use this to show that the dual space of the $L^p$-Segal-Bargmann space $L^p_{hol}(\gamma_{\alpha p/2})$ is an $L^{p'}$ Segal-Bargmann space, but with the Gaussian measure scaled differently: $(L^p_{hol}(\gamma_{\alpha p/2}))^* \cong L^{p'}_{hol}(\gamma_{\alpha p'/2})$ (this was shown originally by Janson, Peetre, and Rochberg). We show that the Bargmann projection controls this dual isomorphism, and gives a dimension-independent estimate on one of the two constants of equivalence of the norms.Comment: 24 page

From classroom tutor to hypertext adviser: An evaluation

This paper describes a three‐year experiment to investigate the possibility of making economies by replacing practical laboratory sessions with courseware while attempting to ensure that the quality of the student learning experience did not suffer. Pathology labs are a central component of the first‐year medical undergraduate curriculum at Southampton. Activities in these labs had been carefully designed and they were supervised by lab demonstrators who were subject domain experts. The labs were successful in the eyes of both staff and students but were expensive to conduct, in terms of equipment and staffing. Year by year evaluation of the introduction of courseware revealed that there was no measurable difference in student performance as a result of introducing the courseware, but that students were unhappy about the loss of interaction with the demonstrators. The final outcome of this experiment was a courseware replacement for six labs which included a software online hypertext adviser. The contribution of this work is that it adds to the body of empirical evidence in support of the importance of maintaining dialogue with students when introducing courseware, and it presents an example of how this interaction might be achieved in software

Alien Registration- Kemp, William J. (Portland, Cumberland County)

https://digitalmaine.com/alien_docs/21748/thumbnail.jp

Bosses, Mobs, and Trash: A Transactional Approach to Videogame Narrative through Cooposition

This dissertation project presents a novel approach to videogame narrative studies through the lens of the active opposition of enemies, from boss monsters and villains down to the lowliest encounters with irritating “trash” enemies. Using transactionism—a theory of existence and aesthetics that claims all experience moves across a single physical plane—this dissertation coins and defines the concept of cooposition, a phenomenon in videogames that allows for narrative activity as co-constituted by the player and the game through active, productive antagonism. After identifying and exploring the lingering difficulties in accounting for videogame narrative in a complete and satisfying theory, this project establishes cooposition as an essential and powerful force of videogame experience before breaking down four permeable categories of videogame enemies. Through extensive examples, key texts, and gameplay experience, this project explores ideas related to how videogame narratives construct player identity, set aesthetic rhythms, and establish and manipulate narrative space and time. At issue is how games use enemies as narrative technique, how narrative in videogames emerge through cooposition, and how players co-create narrative phenomenon by “defeating” the game, productively. This is a first step towards a new theory of game narrative that emerges from gameplay experience, rejecting cognitive theories of literary narratology and suggesting new design strategies for game narrative that fully capitalize on coopositional dynamics

A superconducting qubit as a quantum transformer routing entanglement between a microscopic quantum memory and a macroscopic resonator

We demonstrate experimentally the creation and measurement of an entangled state between a microscopic two level system and a macroscopic superconducting resonator where their indirect interaction is mediated by an artificial atom, a superconducting persistent current qubit (PCQB). We show that the microscopic two level system, formed by a defect in an oxide layer, exhibits an order of magnitude longer dephasing time than the PCQB, while the dephasing time of the entangled states between the microscopic two level system and macroscopic superconducting resonator is significantly longer than the dephasing time in the persistent current qubits. This demonstrates the possibility that a qubit of moderate coherence properties can be used in practice to address low decoherence quantum memories by connecting them to macroscopic circuit QED quantum buses, leading future important implications for quantum information processing tasks.Comment: 4 figure

Environmental Racism: Using Environmental Planning to Lift People Out of Poverty, and Re-shape the Effects of Climate Change & Pollution in Communities of Color,

In the mid-1900s the United States began to see a rise in concern for environmental awareness issues. In the early days the movement focused on things like clean air, water and pollution but by the 1970s-1990s many prominent environmental awareness groups began to form focused on the idea that in order to avert climate change the principal goal needed to be to reduce global greenhouse gas emissions. In 1987 a report was released called Toxic Waste and Race, which outlined an intimate link between the placement of environmental hazardous waste sites in communities of color, and greater instances of polluted air, with contaminated water and soil in those communities as well. The concept of “Environmental Justice” soon formed with advocates labelling the above trend to disproportionately burden minority communities with environmentally harmful industries or practices “Environmental Racism.

Informal religious leadership in a Bangladeshi Village

This thesis examines concepts of Islamic informal religious leadership, focusing on one particular village in Bangladesh and suggesting a framework within in further research could usefully be conducted. After reviewing the entry of Islam (both in terms of political rule and infiltration of ideas) into the region, and examining the concept of `formality /informality' as it pertains to localised religious leadership, such leaders in Rosulpur are reviewed. A classification of leadership, based on apparent rôles, is suggested. Some parallels between the Bengali village practice of Islam and foundational ideas of the faith are then detailed. Such parallels are not made by the villagers themselves, despite it being theoretically possible and it therefore seems that villagers' sense of identity does not rest on what are supposedly foundational Islamic beliefs and practices (such as ritual prayer). It is suggested that informal leaders, including singers, healers and (perhaps most importantly) pirs, are ceded leadership partly because they tacitly validate common practices and beliefs as being acceptable forms of Islam.Because leadership is such a key concept throughout the thesis, three appendices review this topic. The `Mirrors of Princes' genre of literature was an attempt to merge theory and practice in the exercise of power by several Islamic dynasties. A more contemporary and descriptive glimpse of Islamic leadership is given with the varied functions of the sheikh in various societies. The need to acknowledge unseen beings (such as jinn) and varied means of doing this in the wider Indian subcontinent is finally examined