scholarly journals An Elementary Peircean and Category-Theoretic Reading of Being and Event, Logics of Worlds, and The Immanence of Truths

2020 ◽  
Vol 41 (2) ◽  
Author(s):  
Fernando Zalamea
Keyword(s):  
Large Cardinal ◽  
Open Problems ◽  
Mathematical Connections ◽  
The Many

The article presents a reading of Badiou’s trilogy, L’Être et l’événement (1988), Logiques des mondes (2006), and L’Immanence des vérités (2018), and points out the mathematical connections with the works of Cohen, Grothendieck, and large cardinal specialists. A synthetic rendering of these connections is first offered, following precise passages in Badiou’s work, then a category-theoretic and Peircean perspective is explored in order to specify the many dialectics in the trilogy, and, finally, some open problems are proposed. 

Control of flexible manipulators: A survey

Robotica ◽  
2004 ◽  
Vol 22 (5) ◽  
pp. 533-545 ◽  
Author(s):  
M. Benosman ◽  
G. Le Vey
Keyword(s):  
Linear Models ◽  
Control Strategies ◽  
Research Area ◽  
Future Research ◽  
Complex Nature ◽  
Open Problems ◽  
Complex Models ◽  
The Many ◽  
The One ◽  
Flexible Arms

A survey of the field of control for flexible multi-link robots is presented. This research area has drawn great attention during the last two decades, and seems to be somewhat less “attractive” now, due to the many satisfactory results already obtained, but also because of the complex nature of the remaining open problems. Thus it seems that the time has come to try to deliver a sort of “state of the art” on this subject, although an exhaustive one is out of scope here, because of the great amount of publications. Instead, we survey the most salient progresses – in our opinion – approximately during the last decade, that are representative of the essential different ideas in the field. We proceed along with the exposition of material coming from about 119 included references. We do not pretend to deeply present each of the methods quoted hereafter; however, our goal is to briefly introduce most of the existing methods and to refer the interested reader to more detailed presentations for each scheme. To begin with, a now well-established classification of the flexible arms control goals is given. It is followed by a presentation of different control strategies, indicating in each case whether the approach deals with the one-link case, which can be successfully treated via linear models, or with the multi-link case which necessitates nonlinear, more complex, models. Some possible issues for future research are given in conclusion.

Service-Oriented Architectures for Pervasive Computing

2010 ◽  
pp. 147-174 ◽  
Author(s):  
Elias S. Manolakos ◽  
Demetris G. Galatopoullos
Keyword(s):  
Pervasive Computing ◽  
Service Oriented Architecture ◽  
Future Research ◽  
Open Problems ◽  
Efficient Manner ◽  
Service Oriented Architectures ◽  
Software Applications ◽  
Service Oriented ◽  
User Tasks ◽  
The Many

The vision of pervasive computing is to create and manage computational spaces where large numbers of heterogeneous devices collaborate transparently to serve the user tasks all the time, anywhere. The original utility of a computer is now changing from a stand-alone tool that runs software applications to an environment-aware, context-aware tool that can enhance the user experience by executing services and carrying out his/her tasks in an efficient manner. However, the heterogeneity of devices and the user’s mobility are among the many issues that make developing pervasive computing applications a very challenging task. A solution to the programmability of pervasive spaces is adopting the service-oriented architecture (SOA) paradigm. In the SOA model, device capabilities are exposed as software services thus providing the programmer with a convenient abstraction level that can help to deal with the dynamicity of pervasive spaces. In this chapter the authors review the state of the art in SOA-based pervasive computing, identify existing open problems, and contribute ideas for future research.

EMINENT PAPER SERIES THE PRESENT AND FUTURE OF GAME THEORY

2012 ◽  
Vol 57 (01) ◽  
pp. 1250001 ◽  
Author(s):  
MARTIN SHUBIK
Keyword(s):  
Game Theory ◽  
Theory And Practice ◽  
Symbiotic Relationship ◽  
Good Theory ◽  
Open Problems ◽  
The 1950S ◽  
The Many ◽  
Reference Section

A broad nontechnical coverage of many of the developments in game theory since the 1950s is given, together with some comments on important open problems and where some of the developments may take place. The reference section given serves only as a minimal guide to the many thousands of books and articles that have been written on this topic. The purpose here is to present a broadbrush picture of the many areas of study and application that have come into being. The use of deep techniques flourishes best when it stays in touch with application. There is a vital symbiotic relationship between good theory and practice. The breakneck speed of development of game theory calls for an appreciation of both the many realities of conflict, coordination and cooperation and their abstract investigation.

Service-Oriented Architectures for Pervasive Computing

2010 ◽  
Vol 2 (4) ◽  
pp. 39-62
Author(s):  
Elias S. Manolakos ◽  
Demetris G. Galatopoullos
Keyword(s):  
Pervasive Computing ◽  
Service Oriented Architecture ◽  
Future Research ◽  
Open Problems ◽  
Efficient Manner ◽  
Service Oriented Architectures ◽  
Software Applications ◽  
Service Oriented ◽  
User Tasks ◽  
The Many

The vision of pervasive computing is to create and manage computational spaces where large numbers of heterogeneous devices collaborate transparently to serve the user tasks all the time, anywhere. The original utility of a computer is now changing from a stand-alone tool that runs software applications to an environmentaware, context-aware tool that can enhance the user experience by executing services and carrying out his/ her tasks in an efficient manner. However, the heterogeneity of devices and the user’s mobility are among the many issues that make developing pervasive computing applications a very challenging task. A solution to the programmability of pervasive spaces is adopting the service-oriented architecture (SOA) paradigm. In the SOA model, device capabilities are exposed as software services thus providing the programmer with a convenient abstraction level that can help to deal with the dynamicity of pervasive spaces. In this chapter the authors review the state of the art in SOA-based pervasive computing, identify existing open problems, and contribute ideas for future research.

scholarly journals Extending the functionality of a symbolic computational dynamic solver by using a novel term-tracking method

2017 ◽  
Vol 232 (19) ◽  
pp. 3439-3452 ◽  
Author(s):  
Niloufar Motazedi ◽  
Matthew P Cartmell ◽  
Jem A Rongong
Keyword(s):  
Nonlinear Dynamical Systems ◽  
Solution Procedure ◽  
Nonlinear Dynamical ◽  
Mathematical Connections ◽  
Approximate Analytical Solutions ◽  
New Feature ◽  
Encoding Method ◽  
The Many ◽  
Robust Process ◽  
First Time

Symbolic computational dynamic solvers are currently under development in order to provide new and powerful tools for modelling nonlinear dynamical systems. Such solvers consist of two parts; the core solver, which comprises an approximate analytical method based on perturbation, averaging, or harmonic balance, and a specialised term-tracker. A term-tracking approach has been introduced to provide a powerful new feature into computational approximate analytical solutions by highlighting the many mathematical connections that exist, but which are invariably lost through processing, between the physical model of the system, the solution procedure itself, and the final result which is usually expressed in equation form. This is achieved by a highly robust process of term-tracking, recording, and identification of all the symbolic mathematical information within the problem. In this paper, the novel source and evolution encoding method is introduced for the first time and an implementation in Mathematica is described through the development of a specialised algorithm.

scholarly journals Does Quantity Generate Quality? Testing the Fundamental Principle of Brainstorming

2005 ◽  
Vol 8 (2) ◽  
pp. 215-220 ◽  
Author(s):  
Alfredo Muñoz Adánez
Keyword(s):  
Fundamental Principle ◽  
Open Problems ◽  
Quality Testing ◽  
Weak Points ◽  
The Many ◽  
Broad Program

The purpose of this work is to test the chief principle of brainstorming, formulated as “quantity generates quality.” The study is included within a broad program whose goal is to detect the strong and weak points of creative techniques. In a sample of 69 groups, containing between 3 and 8 members, the concurrence of two commonly accepted criteria was established as a quality rule: originality and utility or value. The results fully support the quantity-quality relation (r = .893): the more ideas produced to solve a problem, the better quality of the ideas. The importance of this finding, which supports Osborn's theory, is discussed, and the use of brainstorming is recommended to solve the many open problems faced by our society.

Information Technology in Times of Crisis

2008 ◽  
pp. 219-240
Author(s):  
Kalpana Shankar ◽  
David J. Wild ◽  
Jaesoon An ◽  
Sam Shoulders ◽  
Sheetal Narayanan
Keyword(s):  
Knowledge Management ◽  
Disaster Management ◽  
New Technologies ◽  
Information Gathering ◽  
The Internet ◽  
Government Agencies ◽  
Open Problems ◽  
Complex Information ◽  
Management Techniques ◽  
The Many

Crisis and disaster management requires the sharing of complex information among numerous entities and individuals. Traditional knowledge management techniques are being used in government agencies responsible for disaster management, but many new technologies and practices, particularly the Internet and Web 2.0, are creating opportunities for individuals, responders, and trainers to share what they know and to acquire needed information, and prepare for the next crisis. However, the use of networked technologies, like the Internet, is still in its infancy, and the use of them diffuse, with very little cohesion among researchers and practitioners in disaster management. We argue that although the Internet is already in extensive use in disaster management, knowledge management will only be effected if top-down and bottoms-up approaches to information gathering, organization, and dissemination are implemented. The aim of this chapter is to provide an introduction to some of the many technologies, practices, and open problems for knowledge sharing in disaster situations, outline some persistent challenges, and suggest venues for exploration and practice.

Open Problems

2021 ◽  
pp. 353-382
Author(s):  
Min Hoon Kim ◽  
Patrick Orson ◽  
JungHwan Park ◽  
Arunima Ray
Keyword(s):  
Open Problem ◽  
Alexander Polynomial ◽  
Embedding Theorem ◽  
Open Problems ◽  
Important Open Problem ◽  
The Many

Open problems in the study of topological 4-manifolds are explained in detail. An important open problem is to determine whether the disc embedding theorem and its antecedents hold for all groups; in other words, whether all groups are good. The disc embedding conjecture and the surgery conjecture are stated. The relationships between these conjectures and their various reformulations are explained. Of particular interest are the reformulations in terms of freely slicing certain infinite families of links. In particular, the surgery conjecture is true if and only if all good boundary links are freely slice. Good boundary links are the many-component analogues of Alexander polynomial one knots.

Connecting Quadratics, Line Segments, Continued Fractions, and Matrices

2019 ◽  
Vol 112 (7) ◽  
pp. 546-550
Author(s):  
Lee Melvin M. Peralta
Keyword(s):  
Continued Fractions ◽  
Teaching Mathematics ◽  
Line Segments ◽  
Mathematical Connections ◽  
The Many

One of the many benefits of teaching mathematics is having the opportunity to encounter unexpected mathematical connections while planning lessons or exploring ideas with students and colleagues. Consider the two problems in figure 1.

Identifying suboptimalities with factorial model comparison

2018 ◽  
Vol 41 ◽  
Author(s):  
Wei Ji Ma
Keyword(s):  
Experimental Design ◽  
Model Comparison ◽  
Process Models ◽  
Multiple Forms ◽  
Factorial Experimental Design ◽  
Factorial Model ◽  
Multiple Components ◽  
The Many

AbstractGiven the many types of suboptimality in perception, I ask how one should test for multiple forms of suboptimality at the same time – or, more generally, how one should compare process models that can differ in any or all of the multiple components. In analogy to factorial experimental design, I advocate for factorial model comparison.

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