Trigonometric Convexity for the Multidimensional Indicator after Ivanov

Multidimensional indicator after Ivanov is a generalization of the notion of indicator, that is well-known for analytic functions in one complex variable, to analytic functions in several complex variables. We prove an analogue of trigonometric convexity for it. Additionally, we show that our estimate is sharp. The proof is based on the multidimensional analogue of the sectorial Fourier inversion formula

Hopf maps and Wigner's little groups

We present the explicit formulae relating Hopf maps with Wigner's little groups. They, particularly, explain simple action of group on a fiber for the first and second Hopf fibrations, and present most simplified form for the third one. Corresponding invariant Lagrangians are presented, and their possible reductions are discussed.Comment: 9pp, published versio

Multi- Autonomous Vehicle Insertion-Extraction System (MAVIES)

MAVIES (Multi-Autonomous Vehicle Insertion-Extraction System) is the culmination of a year-long multi-stakeholder e ort between UTRC and the Humans and Automation Lab at MIT to design a human inter- face for insertion and extraction missions with multiple UAVs and option- ally piloted rotorcraft. The design process is a successful application of the Hybrid Cognitive Task Analysis (hCTA) process that tracks dozens of tasks, decision-making processes and their associated situation aware- ness requirements to determine the proper allocation of responsibilities between the human operator and the automated mission planner. This paper discusses the various accomplishments through several phases of a disciplined process of planning, analysis, design, implementation and testing of the human interface; this process included cognitive walk- throughs and interviews with helicopter pilots as subject matter experts as well as integration with automation systems and mission and vehicle sim- ulation engines developed at UTRC. We also discuss ongoing novel e orts to model human operator mission performance and utilization when the operator simultaneously pilots their own vehicle and commands multiple autonomous wingmen

Dynamic Media Unit Switching Between Different Media Types Based On Loading State And User Interaction

A data processing system can generate multimedia units for display with information resources on client devices that allow dynamic adjustment of media content, for example, based on client device capabilities, user\u27s browsing behavior and actions, loading state of the media content, or a combination thereof. Each multimedia unit can include a thumbnail image, a first link to a first video sequence, a second link to a second video sequence, and a software module (e.g., controller) for controlling display of the image thumbnail and content associated with the first and second video sequences

Search for dark matter produced in association with bottom or top quarks in √s = 13 TeV pp collisions with the ATLAS detector

A search for weakly interacting massive particle dark matter produced in association with bottom or top quarks is presented. Final states containing third-generation quarks and miss- ing transverse momentum are considered. The analysis uses 36.1 fb−1 of proton–proton collision data recorded by the ATLAS experiment at √s = 13 TeV in 2015 and 2016. No significant excess of events above the estimated backgrounds is observed. The results are in- terpreted in the framework of simplified models of spin-0 dark-matter mediators. For colour- neutral spin-0 mediators produced in association with top quarks and decaying into a pair of dark-matter particles, mediator masses below 50 GeV are excluded assuming a dark-matter candidate mass of 1 GeV and unitary couplings. For scalar and pseudoscalar mediators produced in association with bottom quarks, the search sets limits on the production cross- section of 300 times the predicted rate for mediators with masses between 10 and 50 GeV and assuming a dark-matter mass of 1 GeV and unitary coupling. Constraints on colour- charged scalar simplified models are also presented. Assuming a dark-matter particle mass of 35 GeV, mediator particles with mass below 1.1 TeV are excluded for couplings yielding a dark-matter relic density consistent with measurements

Modeling distributed product development processes in SMEs

Thesis: Ph. D., Massachusetts Institute of Technology, Department of Aeronautics and Astronautics, 2015.Cataloged from PDF version of thesis.Includes bibliographical references (pages 193-207).Effective and efficient product development (PD) is critical to the success of many firms. The market's emphasis on getting faster and cheaper products has forced firms to shift their PD practices from sequential to distributed development practices. This shift has significantly increased complexity and dynamism of PD processes, but often is not sufficiently accounted for by PD managers. Transitioning to distributed PD processes is even more challenging for Small and Medium Enterprises (SMEs), who usually lack resources to secure external help. Furthermore, SMEs have been increasingly using distributed PD to not only cut costs but also accelerate PD processes, which adds extra complexity to the management of PD processes. The objective of this thesis is to develop a generalizable model of distributed PD to aid SMEs better manage their PD processes. First, I identified the necessary attributes that have to be captured in distributed PD process modeling within SMEs using firm interviews and academic literature. I validated the attribute list using firm surveys. Next, I developed a discrete-event simulation model that accounted for task structure, rework, multiple teams, flexible work hours, individual performance ratings and learning curve factors. The model is designed to calculate project completion time and cost. In addition, it generates a probability distribution function of completion time that can be used to further guide PD manager decision-making. I encapsulated the model within a software application called SimLinkTM for both Mac OS® and iOS@ mobile devices. Finally, I adopted a multistage validation process using both historical data sets and ongoing project data to accurately replicate observed results and guide decision making in real world scenario. I built additional confidence in model's predictive ability through sensitivity and stochasticity analysis. The application can be used to evaluate the impact of different PD attributes and analyze various PD scenarios before implementing them in real world. Specifically, the application (and underlying model) has been used to investigate cost and schedule targets for various PD staffing configurations, as well as to analyze the impact of around-the-clock development activities. Lastly, model limitations and generalizability to other PD settings are discussed.by Armen A. Mkrtchyan.Ph. D

Modeling cyclical attention switching strategies in low workload supervisory domains

Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 2011.Cataloged from PDF version of thesis.Includes bibliographical references (p. 151-156).Currently, numerous automated systems need constant monitoring but require little to no operator interaction for prolonged periods, such as unmanned aerial systems, nuclear power plants, and air traffic management systems. This combination can potentially lower operators' workload to dangerously low levels, causing boredom, lack of vigilance, fatigue, and performance decrements. As more systems are automated and placed under human supervision, this problem will become more prevalent in the future. To mitigate the problem through predicting operator performance in low task load supervisory domains, a queuing-based discrete event simulation model has been developed. To test the validity and robustness of this model, a testbed for single operator decentralized control of unmanned vehicles was utilized, simulating a low workload human supervisory control (HSC) environment. Using this testbed, operators engaged in a four-hour mission to search, track, and destroy simulated targets. Also, a design intervention in the form of cyclical auditory alerts was implemented to help operators sustain directed attention during low task load environments. The results indicate that the model is able to accurately predict operators' workload. Also, the model predicts operators' performance reasonably well. However, the inability of the model to account for operator error is a limiting factor that lowers model's accuracy. The results also show that the design intervention is not useful for operators who do not have difficulties sustaining attention for prolonged periods. The participants of this study were exceptional performers, since most of them had very high performance scores. Further research will investigate the possibility of conducting another low task load, long duration study with a more diverse set of participants to assess the impact of the design intervention and to extract personality traits that may affect system performance. Also, the model needs to be revised to take into account operator errors, which can significantly affect performance of HSC systems.by Armen A. Mkrtchyan.S.M

Enlarged brick blocks as an alternative to masonry

Brick structures are one of the most common and useful construction materials. However, brick laying consists of the most labor-intensive processes with the largest part of manual works. The main purpose of the research is to find an alternative technology for the brick structures construction that have geometric and physical parameters of brickwork, the processes of which are less labor-intensive and more mechanized. Using factory-made enlarged brick blocks was suggested in the article as an alternative. A brick block is a factory - made element of a brick wall structure that is installed in the design position by crane equipment. By reducing the part of manual labor in installing the brick block, the total duration of construction is reduced while maintaining the final result – a brick wall. The research method was a comparative analysis of the resulting indicators of construction of structures made of individual bricks and installation of enlarged brick blocks. As a model for comparative analysis, a brick wall of specified parameters was proposed, on the basis of which calculations were made. The results show diagrams of labor and material resources spent on the construction of the wall for the two technologies under consideration. Based on the results obtained, we can conclude that it is possible to use enlarged brick blocks of high factory readiness as an alternative to masonry

Boredom and Distraction in Multiple Unmanned Vehicle Supervisory Control

Operators currently controlling unmanned aerial vehicles report significant boredom, and such systems will likely become more automated in the future. Similar problems are found in process control, commercial aviation and medical settings. To examine the effect of boredom in such settings, a long-duration low-task-load experiment was conducted. Three low-task-load levels requiring operator input every 10, 20 or 30 min were tested in a 4-h study, using a multiple unmanned vehicle simulation environment that leverages decentralized algorithms for sometimes-imperfect vehicle scheduling. Reaction times to system-generated events generally decreased across the 4 h, as did participants' ability to maintain directed attention. Overall, the participants spent almost half of the time in a distracted state. The top performer spent the majority of time in directed and divided attention states. Unexpectedly, the second-best participant, only 1% worse than the top performer, was distracted for almost one-third of the experiment, but exhibited a periodic switching strategy, allowing himself to pay just enough attention to assist the automation when needed. Indeed, four of the five top performers were distracted for more than one-third of the time. These findings suggest that distraction due to boring, low-task-load environments can be effectively managed through efficient attention switching. Future work is needed to determine optimal frequency and duration of attention state switches, given various exogenous attributes, as well as individual variability. These findings have implications for the design of and personnel selection for supervisory control systems where operators monitor highly automated systems for long durations with only occasional or rare input.United States. Office of Naval Research. Multidisciplinary University Research Initiative (N00014-08-C-070