Involutions of halphen pencils of index 2 and discrete integrable systems

We constructed involutions for a Halphen pencil of index 2, and proved that the birational mapping corresponding to the autonomous reduction of the elliptic Painlevé equation for the same pencil can be obtained as the composition of two such involutions.TU Berlin, Open-Access-Mittel - 2022DFG, 195170736, TRR 109: Diskretisierung in Geometrie und Dynami

On the Driving Forces of Diffusion of Podcasting in Organizational Settings: A Case Study and Propositions

More and more organizations are integrating Web 2.0 technologies to enhance their organizational learning abilities. However, relatively little attention has been paid to the use of Web 2.0 technologies in organizational settings. This research attempts to understand what drives a person’s use of Web 2.0 technology in organizational settings. To achieve this objective, we conducted a case study on a specific Web 2.0 technology, podcasting, in a global company to understand what factors influence employees’ perceived usefulness of podcasting. Four factors were identified as having important influence in shaping their usefulness perceptions: information overload, tenure, information privacy, and information relevance. A set of propositions regarding the relationships was also developed

Implementing Service-learning to the Information Systems and Technology Management Program: A study of an Undergraduate Capstone Course

Service-learning has been identified as an extremely valuable educational tool and applied to different disciplines and areas, but literature review on service learning has indicated that service-learning is little used in Information Systems education. This paper presents our design and development of a service-learning capstone course for graduating college seniors enrolled in an Information Systems and Technology Management program. A conceptual model is proposed to guide the implementation of service-learning into such a course. Following this model, we discuss our experiences and reflections on designing the course and particularly, how to assess students\u27 performance

A three-dimensional generalization of QRT maps

We propose a geometric construction of three-dimensional birational maps that preserve two pencils of quadrics. The maps act as compositions of involutions, which, in turn, act along the straight line generators of the quadrics of the first pencil and are defined by the intersections with quadrics of the second pencil. On each quadric of the first pencil, the maps act as two-dimensional QRT maps. While these maps are of a pretty high degree in general, we find geometric conditions which guarantee that the degree is reduced to 3. The resulting degree 3 maps are illustrated by two known and two novel Kahan-type discretizations of three-dimensional Nambu systems, including the Euler top and the Zhukovski-Volterra gyrostat with two non-vanishing components of the gyrostatic momentum.Comment: 29 pages, one figure. Some typos correcte

Decision-making Processes in Community-based Free/Libre Open Source Software-development Teams with Internal Governance: An Extension to Decision-making Theory

Community-based free/libre open source software (FLOSS) teams with internal governance constitute an extreme example of distributed teams, prominent in software development. At the core of distributed team success lies team decision making and execution. However, in FLOSS teams, one might expect the lack of formal organizational structures to guide practices and reliance on asynchronous communication to make decision making problematic. Despite these challenges, many effective FLOSS teams exist. We lack research on how organizations make IS development decisions in general and on FLOSS decision-making models in particular. The decision-making literature on FLOSS teams has focused on the distribution of decision-making power. Therefore, it remains unclear which decision-making theories fit the FLOSS context best or whether we require novel decision-making models. We adopted a process-based perspective to analyze decision making in five community-based FLOSS teams. We identified five different decision-making processes, which indicates that FLOSS teams use multiple processes when making decisions. Decision-making behaviors remained stable across projects even though they required different types of knowledge. We help fill the literature gap about which FLOSS decision mechanisms one can explain using classical decision-making theories. Practically, community and company leaders can use knowledge of these decision processes to develop infrastructure that fits FLOSS decision-making processes

Dynamical degrees of birational maps from indices of polynomials with respect to blow-ups II. 3D examples

The goal of this paper is the exact computation of the degrees $\text{deg}(f^n)$ of the iterates of birational maps $f: \mathbb{P}^N \dashrightarrow \mathbb{P}^N$. In the preceding companion paper, a new method has been proposed based on the use of indices of polynomials associated to the local blow-ups used to resolve contractions of hypersurfaces by $f$, and on the control of the factorization of pull-backs of polynomials. This leads to recurrence relations for the degrees and the indices. We apply this method to several illustrative examples in three dimensions. These examples demonstrate the flexibility of the method which, in particular, does not require the construction of an algebraically stable lift of $f$, unlike the previously known methods based on the Picard group.Comment: 39 pages, 2 figure

THE IMPACT OF POWER BOUNDARY MANAGEMENT ON THE DESIGN OF COMPANY-INITIATED OPEN INNOVATION PLATFORM

Open innovation recognizes potential opportunities and advantages gained from leveraging knowledge and innovations found outside an organization‟s formal boundaries. With the intensive use of Internet-based tools, organizations are actively involved in using Open Innovation Platform (OIP) to attract external knowledge. However, developing a company-initiated OIP is a challenging task because usage of OIP depends on the voluntary participation of external users, which makes companies cannot follow the protocol of developing traditional IS. Furthermore, a company\u27s institutional properties may also impact the design company-initiated OIP. In this research, we focus on one type of organizational property, namely power boundary, and explore its impact on the design of a company-initiated OIP over time. From qualitative analysis of two versions of OIP in a single company, we develop a theoretical model depicting how the changes of power boundary of a firm influence the design of a company-initiated OIP over time. This result generates theoretical and empirical insights into the OIP design and power boundary and thus has important implications for both scholars and practitioners

Roles and politeness behavior in community-based free/libre open source software development

Community-based Free/Libre Open Source Software (FLOSS) development relies on contributions from both core and peripheral members. Prior research on core-periphery has focused on software coding related behaviors. We study how core-periphery roles are related to social-relational behavior in terms of politeness behavior. Data from two FLOSS projects suggest that both core and peripheral members use more positive politeness strategies than negative strategies. Further, core and peripheral members use different strategies to protect positive face in positive politeness, which we term respect and intimacy, respectively. Our results contribute to FLOSS research and politeness theory. (C) 2016 Elsevier B.V. All rights reserved