Finiteness conditions on the Ext-algebra of a cycle algebra

AbstractLet A be a finite-dimensional algebra given by quiver and monomial relations. In [E.L. Green, D. Zacharia, Manuscripta Math. 85 (1994) 11–23] we see that the Ext-algebra of A is finitely generated only if all the Ext-algebras of certain cycle algebras overlying A are finitely generated. Here a cycle algebra Λ is a finite-dimensional algebra given by quiver and monomial relations where the quiver is an oriented cycle. The main result of this paper gives necessary and sufficient conditions for the Ext-algebra of such a Λ to be finitely generated; this is achieved by defining a computable invariant of Λ, the smo-tube. We also give necessary and sufficient conditions for the Ext-algebra of Λ to be Noetherian

Distant Stars Become Future Homes: The Close Relationship of Interstellar Between Hard Science-Fiction and Spectacle

Hard Science-fiction shares a close relationship with the element of spectacle. This is especially apparent in Christopher Nolan’s Interstellar (2014), a film based in realistic science and emotional appeal. Nolan makes use of creating a team comprised of creative minds with different backgrounds. This includes theoretical physicist Kip Thorne, co-writer Jonathan Nolan, and composer Hans Zimmer. Together, the four develop a film that focuses on three main facets of science: time dilation, black holes, and dimensions. Incorporating these elements based in the historical world gives Interstellar its classification as hard science-fiction, a genre based more solidly in realistic science than classical science-fiction. Thorne serves as an executive producer and advisor to all matters scientific, Zimmer composes the score to accompany and intensify the moments of spectacle, and the Nolan brothers serve to create the plot behind Interstellar. The film’s spectacle can be seen throughout, notably in the “Miller’s Planet” and “Gargantua” scenes. Nolan also incorporates Welsh Poet Dylan Thomas’s “Do not go gentle into that good night” to exemplify the film’s theme of perseverance against increasing odds. It is through these elements that Interstellar serves itself as an exemplary film for showcasing the relationship between the nature of hard science-fiction and spectacle

Mankind is Machine: A Monstrous Posthuman Reading of Philip K. Dick’s Selected Works

The works of Philip K. Dick act as an ideal template for readers to explore what it means to be human in a technologically dominated world. Dick’s emphasis on the usage of androids and artificial intelligence as literary monsters allows for a posthuman reading of the traditional literary monster, notably in how their uncanny nature and behavior helps reveal the synthetic tendencies of humanity. In Do Androids Dream of Electric Sheep?, “Imposter,” and “I Hope I Shall Arrive Soon,” each narrative incorporates artificial intelligence and androids acting as others to reveal the machine-like qualities of Dick’s human characters. This approach ultimately reveals Dick’s greater commentary on the nature of humanity’s tendencies to fall into machine-like patterns and expectations within the historical world. By asking questions of what it means to be human through posthuman monsters, Dick challenges the traditional definition of what it means to be both human and alive

Online Political Participation: Evaluation of the Changing Effects Over Time

The internet is a political participation medium that has been subject to constant changes. Just since 2008, there has been a significant increase in the amount of people who use the internet for political purposes. Building on the work of Brian Kruger and others I evaluate whether the internet brings new participants into the political process or if the internet only reinforces those who already participate. I utilize data from recent American National Election Studies to employ an ordinary least-squares regression model for recent presidential election years and assess whether the internet has brought new participants into the political fray via online political participation. I then employ a mixed effects model to identify the driving force behind an increase in online participation. Similar to Krueger and other’s findings I can conclusively claim that the internet is continuing to serve as a medium for participation by those who are not known to be active participants through traditional means, namely those of a younger age; that effect is shown to continue over time. I also find that the increase in online participation is due to the growing importance of internet-based skills in political participation

\u27Trumpian\u27 Attitudes in Central Europe: Causes for Hungary’s, Germany’s and Poland’s Attitudes Towards Transatlantic Trade

This paper explores the various causes for anti-trade sentiment and its relation to far-right populist politics among Germany, Hungary, and Poland as case studies

The Latest Red River Rivalry: The Supreme Court\u27s Recent Decision Regarding the Red River Compact

On June 13, 2013, the United States Supreme Court issued a unanimous decision in a “Red River Rivalry” with much greater implications than the annual football game. In Tarrant Regional Water District v. Herrmann, the court sided entirely with Oklahoma in that state’s dispute with Texas over the allocation of Red River water. This decision will have considerable impact on Texas’ ability to meet its ever-growing water needs. Moreover, the decision could be consequential for other interstate water compacts and the states relying on the rivers and tributaries governed by those agreements

Precise Measurement of the Spin Parameter of the Stellar-Mass Black Hole M33 X-7

In prior work, {\it Chandra} and Gemini-North observations of the eclipsing X-ray binary M33 X-7 have yielded measurements of the mass of its black hole primary and the system's orbital inclination angle of unprecedented accuracy. Likewise, the distance to the binary is known to a few percent. In an analysis based on these precise results, fifteen {\it Chandra} and {\it XMM-Newton} X-ray spectra, and our fully relativistic accretion disk model, we find that the dimensionless spin parameter of the black hole primary is $a_* = 0.77 \pm 0.05$. The quoted 1-$\sigma$ error includes all sources of observational uncertainty. Four {\it Chandra} spectra of the highest quality, which were obtained over a span of several years, all lead to the same estimate of spin to within statistical errors (2%), and this estimate is confirmed by 11 spectra of lower quality. There are two remaining uncertainties: (1) the validity of the relativistic model used to analyze the observations, which is being addressed in ongoing theoretical work; and (2) our assumption that the black hole spin is approximately aligned with the angular momentum vector of the binary, which can be addressed by a future X-ray polarimetry mission.Comment: 14 pages, 3 figures, 1 table, published in ApJ Letters; as explained in the erratum at the end of the text, the spin parameter has been corrected upward from a*=0.77 to a*=0.84. Apart from the addition of the erratum, the paper is unchanged

“I had never really made sense of that before”: Constructing Mathematical Content Knowledge and Teaching through Story Telling

How do teacher educators in two different fields help pre-service teachers bridge content and pedagogical knowledge? This paper explores the experience of using story-telling over two courses that are required in an early childhood teacher education program. The authors, from two different colleges, used reflection prompted by story-telling to collaboratively support the construction of content knowledge in both a math content class and in a math methods class. Students were able to reflect on their own math content knowledge by telling and retelling their understanding of math knowledge construction and that of children they worked with over the semester

A-Set Process Improvement

Siemens Energy offers world-class products and solutions for power generation. They help their clients worldwide to successfully operate conventional power plants by renting out their toolkits. Clients can work on anything from gas or steam turbines, generators, turbines, or even hybrid power and storage. One of Siemens’ more profitable toolkits would be the A-Set, or as the floor assemblers refer to as ‘the majors,’ which consists of two large conex containers filled with thousands of tools ready for any type of operation at power plants. By looking at how long it takes floor assemblers at the Siemens Facility in Suwanee, GA to unload, degut, perform inventory, etc. on A-Sets coming in from use, our teams goal is to optimize the process and cut down on time to reduce the turnover rate. From time studies performed at the facility, the collection of logbooks kept since early 2016, and interviews taken from leads in involved departments, it was found that the average turnover rate of an A-Set is roughly 12 days, from start to finish. Given the processes involved with ensuring that the A-Set is ready to be “white -tagged” or ready to be sent out again to a new client, our team used tools such as Arena ® Simulation Software, DMAIC, statistical analysis, and process mapping to assess the system to be able to cut down on time. Through the analysis of the data and simulations run from Arena ®, the Mechanical Jack process was found to be the bottleneck in which the entire process would be waiting on. Following the acknowledgement of the bottleneck, the implementation of a solution involving an additional floor assembler and a priority system set to allow the Mechanical Jack process to begin faster, we were able to reduce the turnover time from 12 days to 8.55 days, while also increasing the revenue flow by increasing the amount of A-Sets Siemens could theoretically turn out in the same period of time with the reduction in time per turnover. With the turnover time being reduced, it is important to note that while in our calculations we accounted for additional A-Sets being turned out, that the Siemens facility in Suwanee could use the extra time shaved off per cycle in whatever which way they prefer. Initial recommendations would be to use the extra time to turnover more A-Sets, but another option could be to cross train their workers to circumvent any other slow processes that they may come up against through the reallocation of their workers from process to process as their priority levels increase. Regardless of what the facility decides to do with the reduction of turnover time, our team was successful in our endeavors and the following report will delve into what each process consisted of, as well as the direction our team chose to assess the system and give a formal recommendation to Siemens Energy